tive of r(u). Factor g(f).
-f*(f - 1)*(5*f + 2)/2
Let b(i) be the third derivative of i**11/665280 - i**9/60480 + i**7/10080 + i**5/30 - i**2. Let f(d) be the third derivative of b(d). Factor f(h).
h*(h - 1)**2*(h + 1)**2/2
Let g(q) be the second derivative of -q**8/504 + 2*q**7/315 - q**6/180 + 3*q**2/2 - 2*q. Let k(w) be the first derivative of g(w). Find m, given that k(m) = 0.
0, 1
Let k(a) be the first derivative of -a**4/18 + a**3/9 - a - 6. Let n(b) be the first derivative of k(b). Suppose n(j) = 0. Calculate j.
0, 1
Let z(h) = -h**2 - 28*h - 27. Let k be z(-1). Suppose 1/2*i**5 + k*i**2 - i**3 + 0*i + 1/2*i**4 + 0 = 0. Calculate i.
-2, 0, 1
Let c(o) be the first derivative of -3/4*o**4 + 7/9*o**3 + 0*o + 1/3*o**5 - 1/3*o**2 - 6 - 1/18*o**6. Factor c(q).
-q*(q - 2)*(q - 1)**3/3
Let w = 6 + -2. Let k(c) be the second derivative of 0*c**2 - 3*c - 1/10*c**5 + 0 + 1/15*c**w + 0*c**3. Factor k(y).
-2*y**2*(5*y - 2)/5
Suppose p - 6*p = -15. Determine h so that -2 + h**2 - 1 + p + h**3 = 0.
-1, 0
Find v, given that v**5 + v**5 + 92*v**2 + 29*v**3 - 3*v**4 + 31*v**3 + 21*v**4 + 66*v + 18 = 0.
-3, -1
Let i be (36/16)/(12/8). Factor -15/4*s**2 + 3*s**3 + 0 + i*s - 3/4*s**4.
-3*s*(s - 2)*(s - 1)**2/4
Factor 0 - 1/4*n**2 + 0*n.
-n**2/4
Let k(f) be the second derivative of f**5/110 - f**4/33 + f**3/33 - 15*f. What is q in k(q) = 0?
0, 1
Let k(u) be the first derivative of 8*u**6/75 - 4*u**5/75 - u**4/30 + u**3/30 - 3*u**2/2 + 4. Let m(z) be the second derivative of k(z). Factor m(a).
(4*a - 1)**2*(4*a + 1)/5
Let z(g) = -4*g - 1. Let j be z(-1). Let -5*y**2 - y**2 + 9*y**3 - 11*y**j = 0. What is y?
-3, 0
Let l be (-2)/(-18)*(-9)/6. Let u = 1/3 - l. Determine c, given that -c**3 + 1/2*c**4 - c**2 + 1/2 + 1/2*c**5 + u*c = 0.
-1, 1
Let d(a) be the third derivative of -a**9/52920 - a**8/11760 + a**6/1260 + a**5/420 + a**4/24 - 4*a**2. Let h(y) be the second derivative of d(y). Factor h(m).
-2*(m - 1)*(m + 1)**3/7
Let d = 11 - 10. Let b(i) = i**4 + i**3 + i**2 - i. Let u(l) = -l**4 - 16*l**3 + 5*l**2 + 16*l - 12. Let c(r) = d*u(r) + 4*b(r). Factor c(f).
3*(f - 2)**2*(f - 1)*(f + 1)
Let m = 106 - 494/5. Factor 9/5 - 18/5*c**3 - 6*c + 3/5*c**4 + m*c**2.
3*(c - 3)*(c - 1)**3/5
Let d(w) be the first derivative of 2/3*w**3 - 3 - w**2 + 0*w. Solve d(v) = 0 for v.
0, 1
Suppose 3/7*f + 0 + 0*f**2 - 9/7*f**3 - 6/7*f**4 = 0. Calculate f.
-1, 0, 1/2
Let v(a) be the first derivative of a**3/30 + 3*a**2/20 - 2. Solve v(j) = 0 for j.
-3, 0
Factor -56*s**3 - 51*s**3 + 103*s**3 - 4*s**2 + 4 + 4*s.
-4*(s - 1)*(s + 1)**2
Let f(u) = -u**3 - 6*u**2 - 2*u - 9. Let c be f(-6). Let a = 27 - 23. Factor a*z**4 + 3*z**5 + 3*z**5 - 2*z**c + 0*z**5.
2*z**3*(z + 1)*(3*z - 1)
What is c in -6*c**2 + 2*c**2 + 208*c**4 - 6*c**2 + 4*c**2 - 2 - 14*c + 118*c**3 + 96*c**5 = 0?
-1, -1/4, 1/3
Suppose 0 = 12*x - 4*x - 32. Let o(u) be the third derivative of 0*u + 0*u**3 + 1/96*u**x + 1/120*u**5 + 0 + 2*u**2. Factor o(v).
v*(2*v + 1)/4
Determine b, given that 2*b + 8*b**4 - 2*b**5 + 3*b**3 - 11*b**3 + 8*b - 4 - 4*b**2 = 0.
-1, 1, 2
Let p be (-6)/33 + -1 + (-39)/(-33). Let b(w) be the third derivative of 3*w**2 + 0*w**3 + 1/180*w**6 + 0*w + 0*w**5 + p - 1/36*w**4. What is q in b(q) = 0?
-1, 0, 1
Let k(u) be the first derivative of 0*u + 1/5*u**2 - 2/15*u**3 - 2. Find f such that k(f) = 0.
0, 1
Let i = 10 - -10. Suppose 3*b - 26 = 5*m, 5*m + 8 + i = 4*b. Let -1/3 + 1/3*s**3 - s**b + s = 0. What is s?
1
Let u(t) be the third derivative of -t**9/13608 - t**8/3780 - t**7/3780 - 2*t**3/3 + 9*t**2. Let m(w) be the first derivative of u(w). Factor m(x).
-2*x**3*(x + 1)**2/9
Let t(y) be the third derivative of -y**10/17640 + y**9/6615 - y**8/11760 + y**4/8 - 6*y**2. Let a(l) be the second derivative of t(l). Factor a(v).
-4*v**3*(v - 1)*(3*v - 1)/7
Let h(o) be the third derivative of -o**5/15 + 5*o**4/6 - 18*o**2. Let h(n) = 0. What is n?
0, 5
Suppose 32*f + 12 = 35*f. Factor -1/5*l**3 + 1/5*l**2 - 1/5*l**f + 0 + 1/5*l.
-l*(l - 1)*(l + 1)**2/5
Let i(t) = 4*t**2 + t - 3. Let x(l) be the third derivative of l**5/30 + l**4/24 - l**3/6 - l**2. Let d(m) = 3*i(m) - 5*x(m). Factor d(g).
2*(g - 2)*(g + 1)
Suppose 0 = -5*r + 3 + 27. Factor -m - 4*m + r + 3*m**2 - 4*m.
3*(m - 2)*(m - 1)
Let t be 1/4*(3 - -5). Let u be 5 + -2 - 2/t. Suppose -1/4*a + 1/4*a**u - 1/2 = 0. What is a?
-1, 2
Let k be (-9 - -10)*(-154)/(-4). Let i = k - 37. Determine j, given that 0 + j**2 + 1/2*j - i*j**3 = 0.
-1/3, 0, 1
Let p be -2 + ((-108)/(-100) - -1). Let f(h) be the first derivative of 0*h + 0*h**2 + 2/15*h**3 + 0*h**4 + 2 - p*h**5. Determine x so that f(x) = 0.
-1, 0, 1
Suppose 2*j = -6, -3*b + 1 = -j - 2. Let i = 2 - b. Factor h**2 + 0*h**i - 2 + h + 6 - 5*h.
(h - 2)**2
Let -20/9*b - 16/9*b**2 - 4/9 = 0. What is b?
-1, -1/4
Let s(m) be the first derivative of m**5/80 - m**4/24 + m**3/24 + 3*m + 3. Let z(q) be the first derivative of s(q). Factor z(f).
f*(f - 1)**2/4
Let a(b) = -b**3 + b**2 - b - 1. Let h(n) = -2*n**3 + 3*n**2 - 3*n - 3. Let p(m) = -3*a(m) + h(m). Suppose p(c) = 0. What is c?
0
Let z(a) be the third derivative of 0 + 0*a**4 + 1/30*a**5 - a**2 - 1/6*a**3 + 0*a - 1/210*a**7 + 0*a**6. Factor z(b).
-(b - 1)**2*(b + 1)**2
Let 30*x**2 + 5*x**3 + 9*x + 10*x + 13*x + 13*x = 0. Calculate x.
-3, 0
Let z(f) be the third derivative of 1/8*f**4 + 0*f**5 + 3*f**2 + 0 + 0*f**3 - 1/40*f**6 + 0*f. Factor z(v).
-3*v*(v - 1)*(v + 1)
Let m = 0 + 5. Factor 2 + k**3 + 2*k**4 - 4 - 2*k - 8*k**2 + 9*k + k**3 - k**m.
-(k - 1)**4*(k + 2)
What is w in 12*w**3 - 12*w + w**2 - 5*w**2 - 5*w**4 + 8 + w**4 = 0?
-1, 1, 2
Let n(c) be the second derivative of -c**4/12 - c**3/12 + c**2/4 + 6*c. Solve n(m) = 0.
-1, 1/2
Suppose -g = 2*r - 8, 0*r + 21 = 3*g + 5*r. Let z(s) be the second derivative of 1/30*s**4 - 2*s + 2/15*s**3 + 0*s**g + 0. Let z(w) = 0. Calculate w.
-2, 0
Suppose -5*k - 12 = -4*s, 5*k - 3*s - 2*s + 15 = 0. Let c = 19 + k. Find w such that 13*w + 3*w**3 + c*w**3 - 6*w**4 - 4 + 5*w - 30*w**2 = 0.
2/3, 1
Let p(r) be the first derivative of -3*r**4/20 + r**3/5 + 6*r**2/5 - 12*r/5 - 13. Solve p(s) = 0 for s.
-2, 1, 2
Let t(k) be the first derivative of -k**3/2 + 3*k**2/2 + 9*k/2 + 18. Factor t(d).
-3*(d - 3)*(d + 1)/2
Suppose m - 1 = -0*m. Suppose -m - h**2 + 2 + 3 = 0. What is h?
-2, 2
Let o be (-1 + -2)/(-3) + 16. Suppose -4*d + o - 5 = 0. What is g in 2 + 2*g**2 - 2*g**d + 3*g - 4 - g = 0?
-1, 1
Let i(v) = 4*v**4 - 2*v**3 - 4*v**2 + 2*v + 6. Let y(r) = r**2 - 1 + 3 - 6*r**2 + 5*r**4 + r + 3 - r**3. Let m(d) = -5*i(d) + 6*y(d). Let m(b) = 0. Calculate b.
-1, -2/5, 0, 1
Let v(s) be the second derivative of -3*s**5/4 - 5*s**4/3 + 85*s**3/6 + 15*s**2 - 5*s. Suppose v(q) = 0. What is q?
-3, -1/3, 2
Let l(m) be the third derivative of m**10/529200 - m**8/35280 + m**6/2520 + m**5/30 - 2*m**2. Let j(w) be the third derivative of l(w). Factor j(r).
2*(r - 1)**2*(r + 1)**2/7
Suppose 0 = p - 0*p - 3. Suppose -p*l + 17 - 5 = 0. Suppose 4/7*n**3 + 0*n + 0 - 2/7*n**2 - 2/7*n**l = 0. What is n?
0, 1
Solve 17*t**3 + 2*t**2 - 16*t**3 - 8*t**2 + 36*t + 18*t**2 = 0.
-6, 0
Factor 4/3*u + 0 - 6*u**2.
-2*u*(9*u - 2)/3
Let b(w) be the first derivative of -w**7/1120 - w**6/480 + w**5/160 + w**4/32 + 2*w**3 + 10. Let v(l) be the third derivative of b(l). Factor v(j).
-3*(j - 1)*(j + 1)**2/4
Let n(j) = -j**4 + 6*j**3 + 8*j**2 + 4*j + 1. Let h(f) = -f**4 + f**3 + f**2. Let c(x) = 4*h(x) - 2*n(x). Factor c(l).
-2*(l + 1)**4
Let f(j) be the first derivative of -1/14*j**2 + 1/28*j**4 + 0*j**3 + 0*j + 6. Suppose f(k) = 0. Calculate k.
-1, 0, 1
Let p be (-1)/66*2996/(-70). Let q = p + 1/55. Factor 4/9*k + 0 + q*k**3 + 10/9*k**2.
2*k*(k + 1)*(3*k + 2)/9
Determine w, given that 0*w + 0*w + 4*w + 4*w - 32 + 4*w**2 = 0.
-4, 2
Let p(j) = j**3 + 5*j**2 + 4*j + 6. Let t be p(-4). Let v be 14*(1 + 2)/t. Suppose 3*q**3 + 16*q**2 - v*q**2 + 9*q + 10 - 7 = 0. Calculate q.
-1
Find h, given that -1/5*h**2 - 3/5 + 4/5*h = 0.
1, 3
What is o in -2*o - 2/5*o**3 - 4/5 - 8/5*o**2 = 0?
-2, -1
Let w(n) be the second derivative of n**5/50 + n**4/30 + 8*n. Find d, given that w(d) = 0.
-1, 0
Let d(m) = -m**2 - m + 2. Let u be d(0). Let n(s) = 6*s**3 + 4*s**2 - 6*s + 2. Let k(c) = c**4 + c**3 + c**2 - c + 1. Let v(b) = u*k(b) - n(b). Factor v(o).
2*o*(o - 2)*(o - 1)*(o + 1)
Let a(z) be 