m**6 + 7/36*m**4 + 0*m. Let q(z) = 0. Calculate z.
-3, -1
Let j(o) = o**5 - o**4 - o**3 + o**2 - 1. Let l(z) = 10*z**5 + 6*z**4 - 2*z**3 - 6*z**2 - 8*z - 6. Let v(p) = -6*j(p) + l(p). Find a such that v(a) = 0.
-2, -1, 0, 1
Suppose 0 = 2*q + 6*q - 5*q. Let i(h) be the first derivative of q*h + 0*h**4 + 2/55*h**5 + 0*h**2 + 2 - 2/33*h**3. Factor i(a).
2*a**2*(a - 1)*(a + 1)/11
Let f be (-8)/(-36) + (-16)/(-9). Let w(v) be the first derivative of 1 + 2*v**3 + 0*v + 3/2*v**4 + 2/5*v**5 + v**f. Factor w(c).
2*c*(c + 1)**3
Let l(s) be the first derivative of -s**7/105 - s**6/60 + s**5/60 - s**3 - 3. Let f(v) be the third derivative of l(v). Determine g so that f(g) = 0.
-1, 0, 1/4
Let t(n) be the second derivative of 1/14*n**2 - 1/84*n**4 - 2*n + 0*n**3 + 0. Factor t(p).
-(p - 1)*(p + 1)/7
Let h(j) = j**2 - j + 1. Let g(n) = 9*n**2 - 14*n + 9. Let t(d) = g(d) - 4*h(d). Let t(c) = 0. What is c?
1
Factor 5184/7*y - 6912/7 + 20*y**3 + 4/7*y**4 + 1584/7*y**2.
4*(y - 1)*(y + 12)**3/7
Let b(d) be the second derivative of -d**5/100 - d**4/20 - d**3/15 + 10*d. Determine v so that b(v) = 0.
-2, -1, 0
Factor 35*t - 5/4*t**2 - 245.
-5*(t - 14)**2/4
Let r(d) be the second derivative of -d**4/24 + d**2/4 - 5*d. Factor r(f).
-(f - 1)*(f + 1)/2
Let m = -4 + 4. Suppose m = -5*a + 6 + 14. Solve -w**4 + 59*w**2 + 8*w - 28*w**4 + 50*w**5 - 58*w**3 - w**2 - 8 - 21*w**a = 0.
-1, -2/5, 2/5, 1
Let s = -102/29 + 1004/203. Solve -4/7 - 4/7*a**3 + s*a - 2/7*a**2 = 0 for a.
-2, 1/2, 1
Let p(w) be the first derivative of -2*w**3/9 - 2*w**2/3 - 29. Factor p(v).
-2*v*(v + 2)/3
Let h(m) = -m**2 - 5*m + 2. Let k(p) = -p**2 - 4*p + 2. Let t(w) = 3*h(w) - 4*k(w). Factor t(q).
(q - 1)*(q + 2)
Let c be 1*(-14)/4*2. Let p = 10 + c. Find g, given that g**3 + g**4 - 3*g**p - 2*g**4 = 0.
-2, 0
Let 6*y**3 - 3*y**3 - 5*y + y + y**3 = 0. What is y?
-1, 0, 1
Let y(b) = -3*b**2 + 5*b. Let r = -4 - -9. Let a(t) = 2*t**2 - 6*t + t**2 + t**2. Let s(x) = r*y(x) + 4*a(x). Solve s(z) = 0.
-1, 0
Let f be (48/(-28))/(1/(-7)). Let h be 1/((-9)/f)*-3. Factor -2 + 11*c - 2*c**4 + 17*c**3 - 17*c**2 - 4*c**2 - 3*c**h.
-(c - 1)**3*(5*c - 2)
Suppose 17 + 6 = 4*b + 3*n, 4*b - 4*n = -12. Factor 0 - 2/5*v**b + 0*v.
-2*v**2/5
Let k be 1*(-30)/36*24/(-30). Factor -7/3*l + k - 4/3*l**2.
-(l + 2)*(4*l - 1)/3
Suppose 5*c = 3*c. Suppose -4*f - 5*d + 1 - 4 = 0, 3*f - 3*d - 18 = c. Factor 1/2*r**4 - r**f + 1/2*r**2 + 0*r + 0.
r**2*(r - 1)**2/2
Suppose -3*p - 7 = 11. Let a(h) = -h**3 - h**2. Let o(f) = -7*f**3 - 10*f**2 - 5*f - 2. Let s(z) = p*a(z) + o(z). Factor s(m).
-(m + 1)**2*(m + 2)
Determine f, given that 2*f**2 + 6*f + 0 + 7*f**2 + 0 + 3*f**3 = 0.
-2, -1, 0
Let r(v) = 2*v**2 - v. Let h(d) = 6*d + 0*d - 4*d + d**2 - 3*d. Let m(f) = 3*h(f) - r(f). Find k, given that m(k) = 0.
0, 2
Let n be (-8)/2*(-18)/12. What is s in 2*s**3 + 3*s**4 + 5 + 4*s**3 - 5*s - n*s**2 - 3*s**5 + 2*s - 2 = 0?
-1, 1
Let n(s) be the second derivative of -5/18*s**4 - 2*s + 0 - 4/3*s**2 + 8/9*s**3 + 1/30*s**5. Factor n(d).
2*(d - 2)**2*(d - 1)/3
Suppose 5*d - 3 = -4*l + 9, -2*l + 2*d + 6 = 0. Let h be 3/2 - l/(-6). Factor v**2 - 4*v**2 - 4*v**h - 3*v**2 + 2*v + 8*v**3.
2*v*(v - 1)*(4*v - 1)
Let x be (6/4)/(4*9/48). Find w such that -w**x - 1/2*w - 1/2*w**3 + 0 = 0.
-1, 0
Suppose -2*s - 46 + 32 = -5*n, 4*n = -2*s + 22. Solve -1/2*f**2 + 1/2*f**s + 0 + 1/2*f**4 - 1/2*f = 0 for f.
-1, 0, 1
Let o(f) = -2*f**2 - 3*f + 4. Let h be o(-3). Let y = -5 - h. Let -2/3*j**5 + 4/3*j**4 + 0*j**3 + 2/3*j - 4/3*j**2 + y = 0. Calculate j.
-1, 0, 1
Suppose -2*x**2 - 3*x**3 + x**2 - 3*x**2 + x**3 = 0. What is x?
-2, 0
Suppose -15 = 3*y + 3*h, 5*y + h = 5*h + 20. Solve 0*n**2 + 0*n**4 + 0*n - 1/4*n**5 + y + 1/4*n**3 = 0 for n.
-1, 0, 1
Let s(m) be the second derivative of -3*m**5/20 + m**4 - 2*m**3 - 2*m. Determine n so that s(n) = 0.
0, 2
Let a(j) be the first derivative of 0*j + 1/60*j**5 - 1 + 0*j**2 + 1/720*j**6 + 1/12*j**4 - 2/3*j**3. Let m(l) be the third derivative of a(l). Factor m(y).
(y + 2)**2/2
Factor 0 - 2/3*v + 2/3*v**2.
2*v*(v - 1)/3
Let k be (36/(-270) - 8/15)/(-2). Factor -2/3*l**2 + l - k*l**3 + 0.
-l*(l - 1)*(l + 3)/3
Suppose -s + 3*f = 1, -f = -2*s - 2*f + 5. Solve 8*n - 9*n**2 - 9*n**s + 42*n**4 - 15*n**4 - 1 = 0 for n.
-1, 1/3
Let x(g) = g**3 + 4*g**2 + 3*g. Let y be x(-2). Factor -k - 5*k**2 + y + 3*k**2 + k.
-2*(k - 1)*(k + 1)
Let m(o) be the first derivative of 3*o**5/5 + 3*o**4/4 - 2*o**3 - 8. Factor m(g).
3*g**2*(g - 1)*(g + 2)
Let r(b) be the second derivative of -b**10/2160 - 2*b**9/945 - b**8/840 + b**4/3 - 4*b. Let x(c) be the third derivative of r(c). Factor x(v).
-2*v**3*(v + 2)*(7*v + 2)
Let t be -2*2/4*-3. Let v = -1 + t. Factor 0 - 2*r + 2*r**v + 0.
2*r*(r - 1)
Suppose 28*m = 50 + 6. Factor -m*h**2 - 4/7 - 18/7*h.
-2*(h + 1)*(7*h + 2)/7
Let i(k) = k**3 - 3*k**2 - 5*k - 5. Let g(p) be the second derivative of p**5/10 - p**4/6 - p**3 - 3*p**2 - 9*p. Let d(b) = 5*g(b) - 6*i(b). Factor d(s).
4*s**2*(s + 2)
Let w(r) be the third derivative of 1/48*r**8 + 0*r**4 + 8/105*r**7 + 11/120*r**6 + 1/30*r**5 + r**2 + 0*r + 0 + 0*r**3. Factor w(k).
k**2*(k + 1)**2*(7*k + 2)
Let q(c) = 5*c**2 - 5. Let h(y) = y**3 - 11*y**2 + y + 9. Let i(d) = 3*h(d) + 5*q(d). Determine r so that i(r) = 0.
-1/3, 1, 2
Solve 2/7*m**4 - 2/7*m + 12/7 - 2*m**2 + 2/7*m**3 = 0 for m.
-3, -1, 1, 2
Let m(a) be the second derivative of a**4/3 - 16*a**3/3 + 32*a**2 + 13*a. Determine w so that m(w) = 0.
4
Suppose -7*w**3 + 1/2*w**4 + 18 - 42*w + 61/2*w**2 = 0. What is w?
1, 6
Let d = -5/158 - -152/3555. Let g(k) be the third derivative of d*k**5 - 1/9*k**3 + 0 - k**2 + 0*k**4 + 0*k. Factor g(t).
2*(t - 1)*(t + 1)/3
Suppose 2*o = o + 3. Let t(j) be the first derivative of -1/3*j**2 - 1/9*j**o - 1/3*j - 1. What is x in t(x) = 0?
-1
Let v(y) be the first derivative of -y**3/3 + y**2 - y + 8. Factor v(a).
-(a - 1)**2
Let v(z) be the second derivative of 5*z**5/4 - 55*z**4/12 + 5*z**3/3 + 46*z. Let v(u) = 0. What is u?
0, 1/5, 2
Suppose 0*z + 4*z - 12 = 0. Suppose z*v - 4*l = -14, l = 6*v - 4*v + 1. Factor 0 - w**3 + 1/3*w + 2/3*w**v.
-w*(w - 1)*(3*w + 1)/3
Suppose -4*c + 3*t + 5 - 3 = 0, -5*t = -10. Find u, given that 8 - 4*u**4 - 2 + 14*u + 16*u**2 - 2*u**5 + 6*u**3 - 2 - c*u**3 = 0.
-1, 2
Let m = -1 + 3. Let z be (306/(-8))/(-9) - m. Solve z - 3/2*q + 1/4*q**2 = 0.
3
Let a(g) be the second derivative of -3*g**6/80 - 21*g**5/160 + g**4/32 + 7*g**3/16 + 3*g**2/8 - 19*g. Solve a(b) = 0 for b.
-2, -1, -1/3, 1
Let h be (-2248)/(-126) - (-4)/(-14). Let b = h + -154/9. Factor -2/9*s**2 - 2/9 - b*s.
-2*(s + 1)**2/9
Factor 0 - z - 1/2*z**2.
-z*(z + 2)/2
Let y(c) be the second derivative of -3*c**5/20 + c**4 - 5*c**3/2 + 3*c**2 - c. Factor y(s).
-3*(s - 2)*(s - 1)**2
Let c(l) be the second derivative of -2/45*l**6 + 0*l**3 + 2*l + 0*l**4 - 1/30*l**5 + 0 - 1/63*l**7 + 0*l**2. Factor c(b).
-2*b**3*(b + 1)**2/3
Let d be (-2)/4*(-2 + -2). Let y(p) be the second derivative of d*p - 5/3*p**3 - 1/10*p**5 + 2/3*p**4 + 0 + 2*p**2. Factor y(x).
-2*(x - 2)*(x - 1)**2
Let w = 2/3 + -1/2. Let t(v) be the first derivative of -1 - 1/12*v**4 - 1/3*v + 1/9*v**3 + w*v**2. Factor t(l).
-(l - 1)**2*(l + 1)/3
Let s(o) = -o**2 + 6*o + 2. Let i be s(6). Let a(d) be the first derivative of 7/2*d**i - 7/4*d**4 - d**3 - 2*d + d**5 - 1. Factor a(u).
(u - 1)**2*(u + 1)*(5*u - 2)
Let m(a) be the first derivative of 2*a**3/33 - 2*a**2/11 - 6*a/11 - 7. Factor m(o).
2*(o - 3)*(o + 1)/11
Let n(g) be the first derivative of 4*g**7/63 + g**6/5 + g**5/5 + g**4/18 - g - 4. Let q(u) be the first derivative of n(u). Determine v, given that q(v) = 0.
-1, -1/4, 0
Let s(d) = 2*d**3 - 12*d**2 + 10*d - 14. Let f(b) = b**3 - 4*b**2 + 3*b - 5. Let m(z) = -14*f(z) + 5*s(z). Factor m(a).
-4*a*(a - 1)*(a + 2)
Let p(w) be the first derivative of 2*w**3/45 - w**2/15 - 4*w/15 + 16. What is v in p(v) = 0?
-1, 2
Let j(s) be the third derivative of -s**6/60 + s**5/12 - s**4/24 - s**3/3 - 25*s**2. Solve j(z) = 0 for z.
-1/2, 1, 2
Factor -3/4 + 3/4*l**3 - 21/8*l**2 + 21/8*l.
3*(l - 2)*(l - 1)*(2*l - 1)/8
Let f be (3/(-2))/(2/(-4)). Let i(t) be the first derivative of 1 - 2/3*t**f - 2*t**2 + 0*t. Let i(p) = 0. Calculate p.
-2, 0
Let t(u) be the second derivative of -u**4/10 - 4*u**3/5 - 12*u**2/5 - 10*u. Factor t(q).
-6*(q + 2)**2/5
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