 - 2*i**3/3 - 3. Let v(a) be the third derivative of x(a). Solve v(m) = 0.
-1, 0, 1
Suppose -s + 5*m + 16 = 0, -3*m - 24 = -3*s - 0*s. Let w = s + -4. Factor 1/4 + 0*r - 1/4*r**w.
-(r - 1)*(r + 1)/4
Let f(c) be the first derivative of -c**3/3 - 1. Suppose 4*p - 4 = 4. Let x(q) = 4*q**2 - 2*q. Let n(a) = p*f(a) + x(a). Factor n(h).
2*h*(h - 1)
Let s = 5 + -17. Let y be 1/2 - (-4)/s. Factor 0*x + y*x**3 + 0 - 1/6*x**4 + 0*x**2.
-x**3*(x - 1)/6
Let s(a) be the second derivative of 0 + 1/30*a**4 + 1/30*a**3 + 0*a**2 + a + 1/100*a**5. Solve s(u) = 0.
-1, 0
Let w(q) be the first derivative of 0*q + 1/4*q**4 + q**2 - 4 - q**3. Factor w(n).
n*(n - 2)*(n - 1)
Let n(x) be the second derivative of -3/4*x**2 + 21/80*x**5 + 3/16*x**4 + 3*x + 3/40*x**6 - 3/8*x**3 + 0. Factor n(o).
3*(o + 1)**3*(3*o - 2)/4
Let y = 2 - 1. Let u be -3*y*(-10)/105. What is f in 2/7*f**4 + 2/7*f**3 - u*f - 2/7*f**2 + 0 = 0?
-1, 0, 1
Let h(r) be the third derivative of r**7/210 - r**5/10 + r**4/3 - r**3/2 + r**2. Factor h(s).
(s - 1)**3*(s + 3)
Let x = 66/7 + -9. Let 3/7*m**3 - 6/7*m**2 + 0 + x*m = 0. Calculate m.
0, 1
Let l be 245/(-380) + (-9)/(-12). Let f = l + 146/57. Let 8/3 + 2/3*r**2 - f*r = 0. What is r?
2
Let q(n) be the second derivative of -n**7/8820 - n**6/840 - n**5/210 + n**4/4 - 2*n. Let m(i) be the third derivative of q(i). Factor m(g).
-2*(g + 1)*(g + 2)/7
Let k(y) be the first derivative of -y**8/2240 - y**7/560 - y**6/480 - y**3/3 - 1. Let d(t) be the third derivative of k(t). Suppose d(h) = 0. What is h?
-1, 0
Suppose 4*b = 4*a + 64, b + 5*a = -b + 18. Factor 4*y**2 - 14 + 0*y**2 + b.
4*y**2
Factor 0*b + 3/4*b**3 - 1/2*b**2 - 1/4*b**4 + 0.
-b**2*(b - 2)*(b - 1)/4
Let g = 60/11 + -398/77. Factor 2/7*z**2 - 2/7*z**3 + 2/7*z - g.
-2*(z - 1)**2*(z + 1)/7
Let i = 2 + 1. Suppose i*n - n - 8 = 0. Solve -n*k**4 - 2*k**4 + k**2 + 5*k**4 = 0.
-1, 0, 1
Let j(l) be the second derivative of -l**4/36 + l**3/18 + l**2/3 - 21*l. Factor j(z).
-(z - 2)*(z + 1)/3
Let n(v) be the first derivative of -v**3/9 - v**2/2 - 2*v/3 + 14. Factor n(i).
-(i + 1)*(i + 2)/3
Let g = 51/112 - 5/16. Let 0*v + 0 - g*v**2 = 0. Calculate v.
0
Let z(w) be the first derivative of w**6/120 - w**5/20 + w**4/8 + 4*w**3/3 + 4. Let q(a) be the third derivative of z(a). Determine b, given that q(b) = 0.
1
Factor -15*v**3 + 15*v - 7*v**2 - 9 + 37*v**3 - 21*v**3.
(v - 3)**2*(v - 1)
Let g(d) = d**3 - 15*d**2 - 17*d + 22. Let h be g(16). Let k be -4 + ((-136)/h)/(-4). Determine b so that -19/3*b**3 + k*b**2 - 14*b**4 + 2/3*b + 0 = 0.
-1/2, -2/7, 0, 1/3
Let r(n) be the second derivative of -n**5/60 + n**4/18 + n**3/6 - 10*n. Suppose r(j) = 0. Calculate j.
-1, 0, 3
Let b(n) be the third derivative of 0*n**3 + 0*n + 0 + 1/280*n**7 + 0*n**5 - 1/672*n**8 + 0*n**4 - 1/480*n**6 + n**2. What is d in b(d) = 0?
0, 1/2, 1
Let n be ((-8)/(200/5))/((-3)/5). Factor 2/3*l**3 - 1/3*l**5 + 0*l + 0 + 0*l**2 + n*l**4.
-l**3*(l - 2)*(l + 1)/3
Let l(m) = -3*m**4 - 3*m**3 + 9*m**2 + 9. Let a(x) = -x**4 - x**3 + 4*x**2 + 4. Let u(w) = 9*a(w) - 4*l(w). Factor u(o).
3*o**3*(o + 1)
Let h(s) be the second derivative of 0*s**2 + s + 0 + 0*s**4 - 1/60*s**6 + 3/80*s**5 - 1/24*s**3. Find p, given that h(p) = 0.
-1/2, 0, 1
Let v(w) be the third derivative of -w**8/10080 - w**4/24 + 2*w**2. Let t(r) be the second derivative of v(r). Factor t(a).
-2*a**3/3
Factor 0*i**3 - 1/3*i**5 - 2/3*i**2 + 1/3*i + 0 + 2/3*i**4.
-i*(i - 1)**3*(i + 1)/3
Suppose 0 = -0*d - 3*d. Factor -s + 4 - 2 + d*s**2 - s**2 + 0*s.
-(s - 1)*(s + 2)
Let q(d) be the second derivative of -d**5/60 - d**4/8 - d**3/3 - d**2/2 - 2*d. Let p(j) be the first derivative of q(j). Determine i, given that p(i) = 0.
-2, -1
Let w(c) be the first derivative of -2/13*c**3 - 12/13*c**2 - 8/13*c - 4 + 5/26*c**4. Factor w(f).
2*(f - 2)*(f + 1)*(5*f + 2)/13
Let q(n) = -n**3 - 13*n**2 - 18*n + 44. Let k be q(-11). Determine x, given that k - 2/3*x + 2/3*x**4 - 2*x**3 + 2*x**2 = 0.
0, 1
Let a(g) be the first derivative of -g**5 - 8. Find t, given that a(t) = 0.
0
Let h(z) be the first derivative of -z**5 + 5*z**4/2 + 5*z**3/3 - 5*z**2 - 16. Factor h(q).
-5*q*(q - 2)*(q - 1)*(q + 1)
Let v(g) = 19*g**3 - 53*g**2 + 11*g + 13. Let r(x) = -28*x**3 + 79*x**2 - 16*x - 20. Let i(u) = -5*r(u) - 8*v(u). Factor i(n).
-(n - 2)*(3*n - 2)*(4*n + 1)
Let o(g) = g**3 - 6*g**2 + 5*g. Let r(i) = -i**2 + 2*i**2 - i + 0*i. Let f(d) = 2*o(d) + 6*r(d). Solve f(m) = 0.
0, 1, 2
Suppose 11*f = 2*f + 36. Let m(w) be the second derivative of 0*w**2 - 2*w + 1/6*w**5 + 0 - 7/18*w**f + 2/9*w**3. Factor m(q).
2*q*(q - 1)*(5*q - 2)/3
Let x be (2/(-8))/((-58)/(-16) - 4). Factor -2/3*a**2 + 2/3*a + x - 2/3*a**3.
-2*(a - 1)*(a + 1)**2/3
Let i(t) = -9*t**4 - 9*t**3 - t**2 + 4*t + 5. Let s(g) = 4*g**4 + 4*g**3 - 2*g - 2. Let o(q) = 2*i(q) + 5*s(q). Factor o(d).
2*d*(d - 1)*(d + 1)**2
Let b = -1651 + 8257/5. Let -b - u - 4/5*u**3 + 11/5*u**2 = 0. Calculate u.
-1/4, 1, 2
Let c = 221/105 - 40/21. Factor 1/5*u**3 - 2/5*u**2 + c*u + 0.
u*(u - 1)**2/5
Let l(n) be the first derivative of 2*n**5/15 + n**4/12 - 5*n**3/9 + n**2/3 - 26. Factor l(b).
b*(b - 1)*(b + 2)*(2*b - 1)/3
Let o(j) be the third derivative of 2*j**2 + 1/8*j**4 + 1/60*j**5 + 1/3*j**3 + 0 + 0*j. Factor o(l).
(l + 1)*(l + 2)
Let l(f) = -2*f**2 + 4. Suppose -4*q + p - 21 = -2*p, 0 = 3*q - p + 12. Let g(j) = 2*j**2 - 3. Let o(c) = q*l(c) - 4*g(c). Solve o(z) = 0.
0
Let s(m) be the first derivative of -m**5/120 + m**4/24 - m**3/12 + m**2/12 - 2*m + 5. Let x(w) be the first derivative of s(w). Factor x(v).
-(v - 1)**3/6
Let h(s) = -6*s**3 - 6*s**2 + 5*s. Suppose 2*y - 5*y - 15 = 0. Let q(k) = -5*k**3 - 5*k**2 + 4*k. Let o(f) = y*q(f) + 4*h(f). Suppose o(v) = 0. Calculate v.
-1, 0
Let b(j) be the first derivative of -j**7/147 - 3*j**6/70 - 2*j**5/35 + 2*j**4/21 - j**2 - 1. Let y(k) be the second derivative of b(k). Factor y(m).
-2*m*(m + 2)**2*(5*m - 2)/7
Let q(u) be the second derivative of -u**7/84 + u**5/5 + u**4/4 - 7*u**3/12 - 3*u**2/2 - 9*u. Determine x, given that q(x) = 0.
-2, -1, 1, 3
Let x(c) be the first derivative of -c**6/180 - c**5/30 + 5*c**3/3 + 1. Let d(k) be the third derivative of x(k). Solve d(r) = 0 for r.
-2, 0
Suppose t + 4*l - 2 - 6 = 0, 0 = t + 2*l - 6. Suppose -t = q - 3*q. Determine p so that -p**q - 6*p - 5 + 0*p - 4 = 0.
-3
Let u(k) = k**3 - k. Let b(j) = 3*j**3 - 9*j**2 - 12*j. Let f(d) = -b(d) + 6*u(d). Let f(o) = 0. Calculate o.
-2, -1, 0
Factor b**2 - 3/2*b + 0*b**4 - 1 - 1/2*b**5 + 2*b**3.
-(b - 2)*(b - 1)*(b + 1)**3/2
Let m = 2 + -8/5. Let -2/5*c + m*c**3 - 2/5*c**4 + 0 + 2/5*c**2 = 0. Calculate c.
-1, 0, 1
Find v such that 6*v**2 + 3*v**5 + 5*v**4 - 12*v**2 + v**4 - 3*v = 0.
-1, 0, 1
Factor -1 + q**4 + q - 3*q - 2*q**3 + 4*q.
(q - 1)**3*(q + 1)
Suppose -5*c - 5*x + 40 = 0, 4*c + 13 = -3*x + 8*x. Factor 4*a**2 - 5*a**2 - a**c + 2*a**3.
a**2*(a - 1)
Let i be 70/(-30) + 1 + 8. Solve 4*y**4 + 8/3 + 4/3*y**3 - i*y**2 - 4/3*y = 0.
-1, 2/3, 1
Let i(b) be the first derivative of 27*b**6/2 + 9*b**5 - 97*b**4/2 + 76*b**3/3 - 4*b**2 - 12. Factor i(d).
d*(d - 1)*(d + 2)*(9*d - 2)**2
Let u be ((5 - 4) + 0)*2. Find q such that -1 + u - 12*q - 8 - 4*q**2 - 1 = 0.
-2, -1
Suppose -5*q - 19 = 4*d - d, 4*q - 4*d = 4. Let w be q/3 + (-42)/(-9). Let -1/2*c**3 + 0 + 1/2*c**w + 0*c + 0*c**2 = 0. Calculate c.
0, 1
Suppose 3/5*p**4 - 6/5*p**3 + 0*p**2 - 3/5 + 6/5*p = 0. What is p?
-1, 1
Let 1/2*j + 0 + 1/2*j**2 = 0. What is j?
-1, 0
Suppose 2*b - 3*r = -12, 3*b + 10 = 3*r - 2. Suppose -2/7*u**2 + 0 + 2/7*u**4 + 0*u + b*u**3 = 0. What is u?
-1, 0, 1
Let c(o) be the second derivative of 1/6*o**4 + 0 + 2*o + 1/4*o**2 - 1/3*o**3. Solve c(f) = 0 for f.
1/2
Suppose -2*g = 5*k - 7*g, 0 = -g. Factor -2/7*m - 2/7*m**2 + k.
-2*m*(m + 1)/7
Suppose 12 + 20 = 4*y. Suppose -5*a**2 - a**2 - 5*a**3 - 3*a**2 + 12 + y*a**3 = 0. Calculate a.
-1, 2
Let k(x) be the first derivative of 5/2*x**2 + 3 + 7/3*x**3 - 2*x. What is b in k(b) = 0?
-1, 2/7
Let x = -1361/6 + 227. Let k(z) be the third derivative of -1/30*z**5 + 0 + z**2 + 0*z + 0*z**3 - x*z**4. Let k(f) = 0. What is f?
-2, 0
Suppose 6 = -2*x, -4*s - 5*x = -9*s + 30. Suppose -s*y = -2*y. Factor -w**2 - 1/2*w**4 + y*w + 0 + 3/2*w**3.
-w**2*(w - 2)*(w - 1)/2
Let w(i) = -14*i**2 + 20*i - 23. Let q(j) = -5*j**2 + 7*j - 8. Let g(b) = 17