3*f - 1)
Factor 0*c - 2/7*c**2 + 0 - 4/7*c**3 - 2/7*c**4.
-2*c**2*(c + 1)**2/7
Let j(k) = -3*k - 15. Let m be j(-10). Let b be (5/m)/(1/15). Find h such that 2*h**2 + 0*h**5 + 0*h**5 - h + 2*h**4 + h**b - 4*h**2 = 0.
-1, 0, 1
Solve 69*j**5 + j**2 - 71*j**5 + 5*j**3 - 8*j**2 - j**4 + 5*j**2 = 0.
-2, 0, 1/2, 1
Suppose -19*j = -39*j + 18*j. Let n(l) be the first derivative of j*l**3 - 8 - 1/12*l**4 + 1/2*l**2 - 2/3*l. Suppose n(b) = 0. Calculate b.
-2, 1
Let y be (-3)/(-2)*(-5)/((-10)/4). Factor 3*b**y - 15*b + 26*b**3 - 15*b**2 + 6*b**3 + 10 - 15*b**4.
-5*(b - 1)**3*(3*b + 2)
Let 0*m**2 + 31/5*m - 1/5*m**3 - 6 = 0. What is m?
-6, 1, 5
Let f = -235 - -7051/30. Let q(b) be the first derivative of 0*b + 1/20*b**4 + 1/15*b**3 - f*b**6 - 1/25*b**5 + 3 + 0*b**2. Suppose q(p) = 0. Calculate p.
-1, 0, 1
Let b(n) be the third derivative of 0*n + 3*n**2 + 0*n**4 - 1/24*n**6 + 1/6*n**5 + 5/336*n**8 + 0*n**3 + 0 - 1/21*n**7. Factor b(x).
5*x**2*(x - 2)*(x - 1)*(x + 1)
Solve -2/13*m - 2/13*m**4 + 2/13*m**2 + 0 + 2/13*m**3 = 0 for m.
-1, 0, 1
Let j(y) be the second derivative of -y**7/1575 + y**6/900 + 12*y**2 - 29*y. Let a(t) be the first derivative of j(t). Factor a(s).
-2*s**3*(s - 1)/15
Suppose -3*q = 4*q - 63. Find n, given that 28 - 24*n**2 + 21*n + 3*n + 11*n**2 + q*n**2 = 0.
-1, 7
Let r(i) be the first derivative of -i**5 + 25*i**4/2 - 185*i**3/3 + 150*i**2 - 180*i + 140. Factor r(s).
-5*(s - 3)**2*(s - 2)**2
Let w = 16/9 + -76/63. Solve -6/7*o**2 + 2/7*o**3 + 6/7*o**4 + 0 + 2/7*o**5 - w*o = 0 for o.
-2, -1, 0, 1
Suppose 5 = -c + 3*f, -20 = 5*c - f + 33. Let p(z) = -z**3 - 10*z**2 + 11*z + 2. Let v be p(c). Factor -7*u + 11*u**2 - 5*u**3 + u**2 - 3*u**2 + v + u**4.
(u - 2)*(u - 1)**3
Let q(b) be the first derivative of -3*b**5/5 - 87*b**4/2 - 841*b**3 + 392. Determine g so that q(g) = 0.
-29, 0
Let s(j) be the first derivative of 14*j**6/3 + 104*j**5/5 - 15*j**4 - 104*j**3/3 + 16*j**2 - 311. Determine r so that s(r) = 0.
-4, -1, 0, 2/7, 1
Let p = 159 + -156. Let o be p/8 + 0 - 21/56. Factor -2/9*w**2 + o*w + 0.
-2*w**2/9
Let b(y) be the second derivative of y**5/100 + 17*y**4/10 + 867*y**3/10 + 204*y. Determine r, given that b(r) = 0.
-51, 0
Let b(x) be the second derivative of x**5/4 - 65*x**4/4 - 100*x**3/3 + 211*x. Factor b(c).
5*c*(c - 40)*(c + 1)
Let t(g) be the third derivative of 1/60*g**5 + 0 + 1/30*g**6 + 14*g**2 + 0*g + 1/42*g**7 + 0*g**3 + 1/168*g**8 + 0*g**4. Let t(b) = 0. What is b?
-1, -1/2, 0
Let m(o) be the third derivative of 0*o - 1/4*o**4 - 1/80*o**5 + 0 - 7/8*o**3 + 28*o**2. Factor m(x).
-3*(x + 1)*(x + 7)/4
Let u = 31 - 19. Let a be (-3 - -1)*((-14)/u + 1). Factor a*w**2 - 1/3*w + 0.
w*(w - 1)/3
Suppose -2*s - 21 = -7. Let d(i) = i**3 + 7*i**2 + i + 7. Let m be d(s). Factor m*a**4 - 22*a**2 - 8 + 3*a**3 - 2*a**4 + 9*a**3 + 24*a - 4*a**2.
-2*(a - 2)**2*(a - 1)**2
Let d(q) = q. Let t(r) = 11*r**2 + 13*r - 7. Let w = 6 - 0. Let p(g) = w*d(g) + t(g). Let k(c) = 6*c**2 + 10*c - 4. Let u(h) = -7*k(h) + 4*p(h). Factor u(i).
2*i*(i + 3)
Let l be 4*(-106)/(-72) + 3. Let i = 347/36 - l. Let 3/4*v**2 + 1/4 + i*v + 1/4*v**3 = 0. What is v?
-1
Let i(n) be the third derivative of -n**6/120 + n**5/20 + 11*n**4/8 - 35*n**3/6 + 92*n**2 - 2*n. Factor i(m).
-(m - 7)*(m - 1)*(m + 5)
Let r(l) = -12*l + 15. Let a be r(-8). Let u = -1219/11 + a. Factor 0 + 0*b + 0*b**2 + u*b**3.
2*b**3/11
Let l(r) be the first derivative of r**6/30 - r**5/5 + 5*r**4/12 - r**3/3 + 6*r + 18. Let i(x) be the first derivative of l(x). Let i(u) = 0. Calculate u.
0, 1, 2
Let u(i) be the third derivative of i**6/280 + i**5/140 + 8*i**2 - 2. Factor u(v).
3*v**2*(v + 1)/7
Suppose 41*b = 494 - 248. Solve i**3 + b*i**2 - 1/2*i**5 + 0 - 3/2*i**4 + 4*i = 0.
-2, -1, 0, 2
Suppose -19 + 1 = -9*r. Let q be (r + -1)/(-8 - -10). Find i, given that 0 + q*i + 1/2*i**2 = 0.
-1, 0
Suppose -3*p = -6*p. Suppose p = -4*i + 18 - 10. Solve -2/3*o**5 - 1/6*o**4 + 2/3*o**3 + 1/6*o**i + 0*o + 0 = 0.
-1, -1/4, 0, 1
Let t(y) = -4*y - 11. Let m be t(-3). Let c(s) be the first derivative of m + 1/6*s**2 + 2/3*s - 1/9*s**3. Factor c(n).
-(n - 2)*(n + 1)/3
Find x such that -24/17*x**2 + 0 - 8/17*x - 10/17*x**3 = 0.
-2, -2/5, 0
Let h(t) = -7*t**2 + 690*t - 39683. Let v(g) = 15*g**2 - 1380*g + 79368. Let l(p) = -9*h(p) - 4*v(p). Factor l(i).
3*(i - 115)**2
Let h(y) be the third derivative of 0*y**4 + 0*y + 0 + 1/450*y**5 - 31*y**2 - 1/45*y**3. Factor h(l).
2*(l - 1)*(l + 1)/15
Let i = -48515/11 + 4411. Let k be (-4)/(1*1/(-1)). Let -6/11*c**k + 2/11*c**5 + 4/11*c**3 + 2/11 + 4/11*c**2 - i*c = 0. What is c?
-1, 1
Let w(t) = -85*t**2 - 340*t + 35. Let h(n) = 5*n**2 + 20*n - 2. Let s(a) = -35*h(a) - 2*w(a). Suppose s(l) = 0. Calculate l.
-4, 0
Let h be ((-35)/5)/(-1 - -2). Let m = h + 10. Factor -3*o**3 + 3*o + 3*o**2 - m + 4*o**3 + 4.
(o + 1)**3
Factor -209376*z - 2033*z**2 - 17322988 - 109452*z + 77*z**2 - 4*z**3.
-4*(z + 163)**3
Let l(v) be the first derivative of 4*v - 4/3*v**3 - 2*v**2 + v**4 - 12. Factor l(u).
4*(u - 1)**2*(u + 1)
Let -18 + 1/9*d**3 + 13*d - 8/3*d**2 = 0. Calculate d.
3, 18
Let x(n) be the second derivative of n**6/105 + 2*n**5/35 - 13*n**4/42 - 4*n**3/21 + 12*n**2/7 + 454*n. Determine l so that x(l) = 0.
-6, -1, 1, 2
Let p be -6 + (-1765)/(-300) + 2/10. Let w = 7/60 + p. Determine j so that 0*j + 2/5*j**3 + 0 - w*j**4 - 1/5*j**2 = 0.
0, 1
Let i(k) be the second derivative of k**6/90 + k**5/15 - k**4/36 - 8*k**3/9 - 2*k**2 - 267*k. Determine b so that i(b) = 0.
-3, -2, -1, 2
Determine z so that 111*z + 107*z - 3*z**2 + z**2 - 323*z + 40 + 103*z = 0.
-5, 4
Let k be (-6)/15 - (-6)/15. Let -1/3*o**5 + 8/3*o**2 - 4*o**3 + 0*o + k + 2*o**4 = 0. What is o?
0, 2
Let r = 394 + -11819/30. Let u(j) be the first derivative of 1/5*j**5 - 1/2*j**2 + 3 - 1/2*j**4 - r*j**6 + 1/5*j + 2/3*j**3. Determine q so that u(q) = 0.
1
Let d(z) be the third derivative of z**8/336 - 2*z**7/21 + 137*z**6/120 - 43*z**5/6 + 53*z**4/2 - 60*z**3 + 20*z**2 - 8*z. Factor d(a).
(a - 10)*(a - 3)**2*(a - 2)**2
Solve 10*z + 10*z**2 - 718*z**3 + 25*z**2 - 15*z**4 + 728*z**3 = 0.
-1, -1/3, 0, 2
Let d(i) = -4*i**5 + 8*i**4 - 9*i**3 + 5*i - 5. Let m(n) = 4*n**5 - 8*n**4 + 10*n**3 - 6*n + 6. Let x(f) = 6*d(f) + 5*m(f). Factor x(b).
-4*b**3*(b - 1)**2
Let o be (4/3)/(-6 + 114/18). Let p be (2 + 7/(-3))/(o/(-24)). Suppose 2/11*j**5 - 6/11*j + 4/11*j**3 - 6/11*j**4 + 4/11*j**p + 2/11 = 0. What is j?
-1, 1
Let t(g) be the second derivative of -g**5/90 + 2*g**4/9 - 11*g**3/27 + 3*g - 3. Factor t(m).
-2*m*(m - 11)*(m - 1)/9
Find p, given that -26*p**4 - 910*p**2 + 19*p**4 - 67*p**4 - 166*p**3 + 40*p**5 + 858*p**2 = 0.
-1, -2/5, 0, 13/4
Let f(p) be the first derivative of 4*p**3 - 166*p**2 + 168*p**2 - 5*p**4 + p**4 - 2. Let f(u) = 0. What is u?
-1/4, 0, 1
Let z(l) be the first derivative of -1 - 1/5*l**2 + 0*l**3 - 4*l + 1/30*l**4. Let s(x) be the first derivative of z(x). Factor s(w).
2*(w - 1)*(w + 1)/5
Let b = 4025/4 - 998. Factor b*z**2 - 9/4*z + 0 + 3*z**3.
3*z*(z + 3)*(4*z - 1)/4
Let u(x) be the second derivative of x**5/120 + 5*x**4/18 - x**3/36 - 5*x**2/3 + 11*x - 4. Factor u(n).
(n - 1)*(n + 1)*(n + 20)/6
Find k such that -k**3 - 3*k**3 - 4452 - 4384 + 372*k**2 - 8460*k = 0.
-1, 47
Suppose 0 = 9*t + 4 - 22. Solve -5*a**2 + a**3 + t*a**3 - 2426*a - 30 + 2387*a - a**2 = 0.
-2, -1, 5
Find j such that -18*j - 4*j + 8*j**3 + 12 + 12*j**2 - 10*j**3 = 0.
1, 2, 3
Find k, given that -1805 - 723*k + 21*k**2 - 119*k**2 - 5*k**3 - 97*k**2 - 1272*k = 0.
-19, -1
Let p(s) = 12*s**2 - 18*s + 8. Let g(n) = n**3. Suppose -t + 5 - 1 = 0. Let z(l) = t*g(l) - 2*p(l). Solve z(w) = 0 for w.
1, 4
Let o(q) be the third derivative of -q**5/390 + q**4/12 - 4*q**3/13 - 37*q**2. Determine l so that o(l) = 0.
1, 12
Solve 4 - 782*t**2 - 8*t - 4 + 1569*t**2 - 4*t**3 - 775*t**2 = 0.
0, 1, 2
Let x = 56 + -53. Suppose 0 = 3*u - 3 + 15, 5*f - x*u = 22. Solve 2/13 - 2/13*g**f + 0*g = 0.
-1, 1
Suppose -3*h + 4*b + 51 - 8 = 0, 0 = 5*h + b - 41. Let p be 10 + -3 + -7 + 2. Let h*m**5 + 3*m**4 - 15*m**5 - p*m**4 + 7*m**5 = 0. What is m?
-1, 0
Let o(a) = a**2 - 1. Suppose -19*t + 4 = -23*t. Let c(y) = 3*y**2 + 4*y**2 - 6 + y + 0*y. Let b(i) = t*c(i) + 6*o(i). Factor b(q).
-q*(q + 1)
Let m(r) be the first derivative of -r**4 + 28*r**3/3 + 112*r**2 + 192*r - 534. Fact