ative of -2 - 1/24*z**6 + 0*z**2 + 0*z**3 + 1/10*z**5 + 0*z**y + 0*z. Factor g(j).
-j**4*(j - 2)/4
Factor 0 - 4/9*v**4 + 2/3*v**3 - 2/9*v + 0*v**2.
-2*v*(v - 1)**2*(2*v + 1)/9
Find m such that -35/4*m**4 - 25/8*m**5 - 1/2*m + 0 - 7/2*m**2 - 69/8*m**3 = 0.
-1, -2/5, 0
Let m(a) be the second derivative of 3*a**5/20 - a**4/4 - a**3/2 + 3*a**2/2 + 5*a. Factor m(g).
3*(g - 1)**2*(g + 1)
Let s = -14 - -18. Factor 8*b**3 - 10*b - 4*b**2 + 0*b**5 + 8*b**4 + 0*b**2 + 2*b**5 - s.
2*(b - 1)*(b + 1)**3*(b + 2)
Let c(p) = -2*p**4 - 5*p**3 + 5*p**2 + 8*p. Let x(a) = 25*a**4 + 60*a**3 - 60*a**2 - 95*a. Let h(o) = -35*c(o) - 3*x(o). What is s in h(s) = 0?
-1, 0, 1
Let r be (-28)/21*6/(-4). Let o(q) be the third derivative of 0*q + 0 - 2*q**r - 1/120*q**6 + 1/60*q**5 - 1/210*q**7 + 0*q**3 + 1/24*q**4. Solve o(x) = 0.
-1, 0, 1
Factor -3*y**2 + 6/7 + 15/7*y.
-3*(y - 1)*(7*y + 2)/7
Let i(n) = 11*n**4 - 11*n**3 + 15*n**2 - 15*n + 13. Let k(t) = 5*t**4 - 5*t**3 + 7*t**2 - 7*t + 6. Let x(y) = 6*i(y) - 13*k(y). Find z, given that x(z) = 0.
-1, 0, 1
Let t be -12 + 11 - (-8 - 0). Suppose t = 2*c + 1. Let 6/7*h + 2/7 + 2/7*h**c + 6/7*h**2 = 0. Calculate h.
-1
Let c(k) = -5*k - 2. Let h be c(-1). Solve 0*j**2 + 1/4*j**4 + 0*j + 0 - 1/4*j**h = 0.
0, 1
Let c(i) be the second derivative of i**7/168 + 7*i**6/120 + 19*i**5/80 + 25*i**4/48 + 2*i**3/3 + i**2/2 + 5*i. Determine t so that c(t) = 0.
-2, -1
Let g be (36/150)/((-4)/((-20)/3)). Let c(s) be the second derivative of -1/50*s**5 + 0*s**4 + 1/5*s**3 - 4*s + g*s**2 + 0. Factor c(x).
-2*(x - 2)*(x + 1)**2/5
Let x(w) be the first derivative of -2*w**5/5 - w**4/2 + 2*w**3/3 + w**2 + 8. Factor x(v).
-2*v*(v - 1)*(v + 1)**2
Let f(u) = -14*u. Let z be f(1). Let i be 8/(-14)*z/4. Solve -s**2 + s - s**3 - s**2 + i*s**3 = 0.
0, 1
Let j(w) = w**3 - 8*w**2 + 6*w - 3. Let q be j(9). Let r = q + -922/7. Solve r*b**2 - 8/7*b + 8/7 = 0.
2
Let f(z) be the third derivative of z**5/210 - z**4/84 - 2*z**3/21 + 20*z**2. Find w such that f(w) = 0.
-1, 2
Let b be (18/30)/(1/5). Find x, given that -2 - x**3 + 3*x + b - 6*x + 3*x**2 = 0.
1
Let m(v) = -3*v**2 - 3. Let o(l) = -l**2 - 3*l**2 - l - 2 - 2. Let q(u) = -u**2 - u - 4. Let r be q(0). Let p(n) = r*o(n) + 6*m(n). Factor p(s).
-2*(s - 1)**2
Let n(z) = 8*z + 8. Let f(s) = -5*s**2 - 38*s - 26. Let o(t) = -t**2 - t + 1. Let b(a) = f(a) - 6*o(a). Let v(h) = 2*b(h) + 9*n(h). Solve v(l) = 0.
-2
Suppose 10 = -5*i, -3*h = -4*i + 1 - 21. Factor -2*y + h*y**2 + 6*y**3 - 7*y**3 - 4*y**4 + 3*y**3.
-2*y*(y - 1)*(y + 1)*(2*y - 1)
Let l = 4 - 2. Suppose -12 = -5*o + l*o. Determine j, given that -2/3*j**3 + 2/3*j - 7/3*j**2 + 0 + 7/3*j**o = 0.
-1, 0, 2/7, 1
Let y(t) be the first derivative of -2*t**5/5 + t**4 + 2*t**3/3 - 2*t**2 + 7. Determine c, given that y(c) = 0.
-1, 0, 1, 2
Factor 4*l + 4*l**2 + 21 - 17 + 4*l.
4*(l + 1)**2
Let h be (-2)/(-4)*0/3. Suppose -s - 2*s - 9 = h, s - 7 = -2*c. Determine j so that -3/4*j**c + 5/4*j**3 + 0 - 1/4*j**4 + 1/4*j**2 - 1/2*j = 0.
-1, 0, 2/3, 1
Let w(x) = -x**3 - 7*x**2 + 2*x - 3. Let u(m) = 6*m**2 + 2 + 0*m - 8*m + 6*m. Let t(q) = -3*u(q) - 2*w(q). Solve t(b) = 0.
0, 1
What is k in 36/7*k + 6/7*k**2 - 27/7 - 3/7*k**4 - 12/7*k**3 = 0?
-3, 1
Suppose -21*v = -17*v. Factor 0 + v*r + 0*r**2 - 2/3*r**3.
-2*r**3/3
Let h(v) be the first derivative of -v**6/21 - 2*v**5/5 - 19*v**4/14 - 50*v**3/21 - 16*v**2/7 - 8*v/7 - 7. Factor h(j).
-2*(j + 1)**3*(j + 2)**2/7
Let b(r) = -2*r**3 + 2*r**2 + 7*r. Let x(z) = 2*z**3 - 2*z**2 - 6*z. Let a(c) = 4*b(c) + 6*x(c). Factor a(m).
4*m*(m - 2)*(m + 1)
Let d = -10 - -12. Determine o, given that 2 + 13*o**d + o**2 + 32*o + 6 = 0.
-2, -2/7
Let o be (-4)/(-18) + (-32)/(-18). Find s such that -4*s**3 - 5*s - 4*s - 4*s**2 + 5*s - 4*s**o = 0.
-1, 0
Let s(o) be the first derivative of -o**3/12 - 3*o**2/4 - 9*o/4 - 8. Factor s(t).
-(t + 3)**2/4
Let g(d) = d**3 + 10*d. Suppose -46 = -2*f - f + h, 5*h - 26 = -f. Suppose 5*s = -f - 94. Let j(c) = c. Let t(a) = s*j(a) + 2*g(a). Factor t(n).
2*n*(n - 1)*(n + 1)
Factor -4/15*f**2 + 0*f - 2/15*f**3 + 2/15*f**4 + 0.
2*f**2*(f - 2)*(f + 1)/15
Let f(g) = g**3 - 6*g**2 + 6*g - 1. Let i be f(5). Let l be ((-12)/10)/((-14)/35). Factor -b**4 + b**l + b**4 + b**i.
b**3*(b + 1)
Let l be 3/9*(-18)/(-60). Let o(n) be the third derivative of 0*n - 1/60*n**6 + 0 - 2*n**2 - l*n**5 - 1/4*n**4 - 1/3*n**3. Solve o(q) = 0.
-1
Find r, given that -1/2*r**3 + 1/2*r**5 - 1/2*r**4 + 0 + 1/2*r**2 + 0*r = 0.
-1, 0, 1
Let k be 0/(8/4 - (-1)/1). Let p(z) be the first derivative of 2/21*z**3 + k*z + 3 - 1/14*z**4 + 0*z**2. Factor p(l).
-2*l**2*(l - 1)/7
Solve -5*x**4 - 2 - 2 + 14*x - 18*x**2 + 10*x**3 + 3*x**4 = 0.
1, 2
Let u(k) = -k**2 - 3*k + 4. Let n be ((-176)/24)/(2/(-3)). Let p(j) = 5*j**2 + 16*j - 21. Let a be 4/(-18) - (-20)/9. Let r(w) = a*p(w) + n*u(w). Factor r(c).
-(c - 1)*(c + 2)
Solve 0 + 0*o + 0*o**3 + 2/7*o**2 - 2/7*o**4 = 0 for o.
-1, 0, 1
Let i = 11 - 22. Let f = 11 + i. What is k in 0*k**2 + f + 1/3*k - k**3 - 2/3*k**4 = 0?
-1, 0, 1/2
Let m(j) be the second derivative of -j**5/30 - 11*j**4/36 - 2*j**3/9 + 5*j**2/6 - 36*j. Factor m(o).
-(o + 1)*(o + 5)*(2*o - 1)/3
Let c = 123 - -9. Let a = c - 1186/9. Suppose -a*t**2 + 2/9*t + 0 = 0. What is t?
0, 1
Let w = 7 - 4. Let b be 7/3 - 1/w. Factor -3*c**5 + 0*c**4 - c**3 + 5*c**4 - c**b + 0*c**4.
-c**2*(c - 1)**2*(3*c + 1)
Let b be ((-1)/(-10))/1*8/3. Let x(h) be the first derivative of 1/5*h**2 + b*h**3 - 2/5*h + 1. Factor x(a).
2*(a + 1)*(2*a - 1)/5
Suppose 5*b = -2*f + b, 0 = -b. Let k = f - -2. Find v, given that -4*v**2 + 2 - v**2 + 3*v**k = 0.
-1, 1
Determine b so that 0*b + 14/11*b**3 - 10/11*b**4 + 0 + 2/11*b**5 - 6/11*b**2 = 0.
0, 1, 3
Let d(m) be the third derivative of -1/120*m**4 + 0*m - 1/15*m**3 + 0 + 5*m**2 + 1/300*m**5. Factor d(y).
(y - 2)*(y + 1)/5
Let p(q) be the first derivative of q**6/27 - 8*q**5/45 + q**4/3 - 8*q**3/27 + q**2/9 - 8. Solve p(b) = 0 for b.
0, 1
Let s be -3 - 0 - -4 - -1. Let g(z) be the first derivative of s + 3/2*z**4 - z**2 - 8/3*z**3 + 4*z. Suppose g(i) = 0. Calculate i.
-2/3, 1
Let a(p) be the third derivative of p**6/120 - p**5/60 - p**4/12 + 6*p**2. Factor a(r).
r*(r - 2)*(r + 1)
Let n(i) be the second derivative of -i**7/3 + 26*i**6/15 - 17*i**5/5 + 8*i**4/3 + i**3/3 - 2*i**2 - 19*i. Factor n(g).
-2*(g - 1)**4*(7*g + 2)
Suppose -13 + 3 = -5*l. Factor -2*q**2 + 4*q**l + 6*q - 4*q**2 + q**2 - 9.
-(q - 3)**2
Let w be 4/(-16)*6*6. Let g be (8 + w)*4/(-10). What is x in g*x + 0 + 7/5*x**2 = 0?
-2/7, 0
Let 811*w**3 + 10*w**4 - 4*w - 24*w**2 - 4*w - 817*w**3 = 0. What is w?
-1, -2/5, 0, 2
Let q = -3 - -6. Suppose 0*j - 2*n = 4*j - 4, -q*n + 6 = 3*j. Let j*v + 0 + 2/5*v**2 + 0*v**3 - 2/5*v**4 = 0. What is v?
-1, 0, 1
Let z be 0/(-1) - 3*-9. Suppose x = 4*r - 9, 2*r = 4*x + 7*r - z. Factor -s + 2*s**2 - 3*s**2 + x*s.
-s*(s - 2)
Let y = -14 - -16. Suppose y*m + 2*m - 16 = 0. Factor 0*z + 1/2*z**3 + 0*z**2 + 0 + 1/2*z**m.
z**3*(z + 1)/2
Let x be -5 - 0 - (-6)/3. Let l be (-3)/(-1 - x/(-6)). Factor -b**l - b**3 + b - b.
-b**2*(b + 1)
Factor -38*s + s**2 - 2*s**2 + 30*s.
-s*(s + 8)
Let 94*f**4 + 4*f**3 + 6*f**3 - 99*f**4 - 5*f**5 = 0. Calculate f.
-2, 0, 1
Let l(x) = -2*x**2 - 4. Let q(s) = 2*s**2 + s + 4. Let a(n) = -5*l(n) - 6*q(n). Determine d, given that a(d) = 0.
-2, -1
Suppose -2 = -5*g + 8. Let p = -5/2 + 3. Determine a so that a - 1/2 - p*a**g = 0.
1
Let a(y) be the first derivative of y**5/60 - y**3/6 - y**2 + 4. Let h(v) be the second derivative of a(v). Let h(q) = 0. What is q?
-1, 1
Let d(k) be the second derivative of 0 - k - 1/5*k**3 + 1/20*k**4 + 3/10*k**2. Suppose d(y) = 0. What is y?
1
Suppose w - 5 = 4*w + 5*g, -w - 4 = 4*g. Let z(p) be the third derivative of 0*p**3 + 0 + w*p - 1/180*p**5 + 1/72*p**4 + p**2. Determine j so that z(j) = 0.
0, 1
Let r = -1/147 - -50/147. Factor 0 + 0*g - r*g**2.
-g**2/3
Suppose -5*p + 500 = -p. Let g = 634/5 - p. Factor -g*s - 7/5*s**2 - 2/5.
-(s + 1)*(7*s + 2)/5
Let z(t) be the first derivative of t**6/36 - t**5/10 + t**4/12 + t**3/9 - t**2/4 + t/6 - 20. Determine d so that z(d) = 0.
-1, 1
Factor -2*v**2 + 10/3*v**3 + 0 + 0*v + 2/9*v**5 - 14/9*v**4.
2*v**2*(v - 3)**2*(v - 1)/9
Let s(t) be the first derivative of -t**4/16 + t**3/12 + t**2/8 - t/4 + 6. Factor s(r).
-(r - 1)**2*(r + 1)/4
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