*d**3 = 0.
-2, -3/4, 1, 2
Let k(u) = 3*u**5 + 6*u**4 + 3*u**3. Let p(q) = 6*q**5 + 12*q**4 + 6*q**3. Let h(o) = 5*k(o) - 2*p(o). Solve h(b) = 0.
-1, 0
Let c(t) = -3*t**2 - 7. Let m(s) be the second derivative of -s**4/12 - 3*s**2/2 + 4*s. Let j(p) = 2*c(p) - 5*m(p). Factor j(f).
-(f - 1)*(f + 1)
Let y(z) be the first derivative of -z**6/2 - 6*z**5/5 + 15*z**4/4 + 10*z**3 - 6*z**2 - 24*z + 161. Suppose y(t) = 0. What is t?
-2, -1, 1, 2
Let q(c) = -70*c**3 - 100*c**2 + 310*c + 560. Let g(w) = 5*w**3 + 7*w**2 - 22*w - 40. Let z(l) = -55*g(l) - 4*q(l). Suppose z(s) = 0. What is s?
-4, -1, 2
Let s be (-8 + -1)/(84/(-27) - -3). Suppose 15*v = -12*v + s. Factor -21/2*r - 3*r**3 - 3 + v*r**4 - 12*r**2 + 3/2*r**5.
3*(r - 2)*(r + 1)**4/2
Let q be (-16)/(-12)*(3 + 0). Factor b**2 + 8*b - 3*b - q*b.
b*(b + 1)
Let s(y) be the first derivative of y**4 - 32*y**3/3 + 34*y**2 - 40*y + 591. Let s(f) = 0. What is f?
1, 2, 5
Let d be 36*(-7)/(-2205)*15. Solve 10/7 - d*z + 2/7*z**2 = 0 for z.
1, 5
Let v be ((-265)/(-30))/1 + (-3)/(-18). Suppose -4*y + v*y = 15. Factor -2*z + 8/5*z**2 - 2/5*z**y + 4/5.
-2*(z - 2)*(z - 1)**2/5
Determine b, given that -5/7*b - 1/7*b**3 + 6/7*b**2 + 0 = 0.
0, 1, 5
Let n(i) be the first derivative of 1/2*i**5 - 1/3*i**3 - 2/15*i**6 - 1/2*i**4 + i**2 - 3 + i. Let v(o) be the first derivative of n(o). Solve v(y) = 0 for y.
-1/2, 1
Let r = 65/12 + -19/6. Let z = 75553/4 + -18886. Factor 0 - 3/4*t**5 - r*t**3 + 0*t - z*t**4 - 3/4*t**2.
-3*t**2*(t + 1)**3/4
Let n(z) be the third derivative of z**7/840 + 3*z**6/160 + 7*z**5/60 + 3*z**4/8 + 2*z**3/3 + 3*z**2 - z. Suppose n(l) = 0. What is l?
-4, -2, -1
Factor -180 - 5/4*v**3 + 10*v**2 + 15*v.
-5*(v - 6)**2*(v + 4)/4
Suppose 1 - 10 = k + 4*y, 4*k = y - 36. Let m be -2*(2/24)/(2/k). Solve m*s**3 + 0 + 1/4*s**4 + 3/4*s**2 + 1/4*s = 0.
-1, 0
Suppose 4*c + 4*r = 4, 0 = 7*c - 6*c - 4*r + 4. Let -2/15*i**3 - 2/15*i**5 + 0*i + 4/15*i**4 + c*i**2 + 0 = 0. What is i?
0, 1
Let h be (7/(105/54))/((-3)/(-90)). Factor -168*m**2 - 40*m**3 + h*m**2 - 40*m**2 - 4*m**4.
-4*m**2*(m + 5)**2
Let b(c) = -5*c**2 + 20*c + 5. Let a be b(4). Let t be a - 27/5 - -2. Suppose -t*d**2 - 6/5 + 14/5*d = 0. What is d?
3/4, 1
Let d be (-1 + -1)*20/(-8). Determine u so that -313 + 130*u - 685 + 153 - d*u**2 = 0.
13
Factor -496*x**4 - 23*x**2 - 25*x + 25*x**3 - 13 + 37 + 246*x**4 + 249*x**4.
-(x - 24)*(x - 1)**2*(x + 1)
Let o(t) = -t**3 + 3*t**2 + 2*t - 5. Let x be o(2). Let b(i) be the first derivative of -1/2*i**2 + 1/4*i**4 - 1/3*i**x + i + 3. Factor b(v).
(v - 1)**2*(v + 1)
Let x(l) be the second derivative of -l**6/2 + 53*l**5/4 - 85*l**4/6 - 43*l + 2. Determine k, given that x(k) = 0.
0, 2/3, 17
Let o(y) = y - 1. Suppose 7*j - 6*j + 1 = 0. Let v(u) = 2*u**3 + 12*u**2 + 28*u - 2. Let x(h) = j*v(h) + 10*o(h). Factor x(d).
-2*(d + 1)**2*(d + 4)
Suppose p = -2*o + 33, -o - 2*o - 126 = -5*p. Determine d, given that 45*d**2 + p*d + 6 + 17*d**4 - 22*d**4 + 14*d**4 + 33*d**3 = 0.
-1, -2/3
Let r(m) be the first derivative of 3*m**5/4 - 57*m**4/8 + 51*m**3/4 - 27*m**2/4 + 156. Solve r(i) = 0.
0, 3/5, 1, 6
Let c(l) be the first derivative of 2*l**6/3 + 4*l**5/5 - 6*l**4 - 420. Determine z, given that c(z) = 0.
-3, 0, 2
What is c in 2*c**2 - 4 + 5/3*c + 1/3*c**3 = 0?
-4, -3, 1
Determine p so that 3*p**2 - 952*p**3 + 477*p**3 - 4 + 474*p**3 = 0.
-1, 2
Suppose -363/2 - 67/6*u**2 + 385/2*u + 1/6*u**3 = 0. What is u?
1, 33
Let b(w) = -4*w + 12. Let p(l) = -l**2 + 3*l - 8. Let i(m) = 6*b(m) + 4*p(m). Let i(q) = 0. What is q?
-5, 2
Suppose 2/3*n + 0 + 2*n**2 - 11/6*n**5 - 47/6*n**3 + 7*n**4 = 0. Calculate n.
-2/11, 0, 1, 2
Let p = 2305 - 6911/3. Factor -2*v**2 + 1/3*v**4 - 1/3*v**3 + 8/3 + p*v.
(v - 2)**2*(v + 1)*(v + 2)/3
Let m(h) be the first derivative of -18*h - 36 + 1/2*h**3 + 3*h**2. Factor m(v).
3*(v - 2)*(v + 6)/2
Let k(i) = -i**4 + i**3 + i - 2. Let y(m) = 4*m**4 - 14*m**3 + 14*m**2 - 2*m - 4. Let p(z) = 2*k(z) - y(z). Suppose p(w) = 0. What is w?
0, 2/3, 1
Let i(h) = -h**3 - 10*h**2 + 13*h + 22. Let y = 29 - 40. Let g be i(y). Solve 2/3*m**5 - 4/3*m**4 + 2/3*m**3 + 0*m**2 + 0 + g*m = 0.
0, 1
Suppose 26*u = 3*u. What is o in 4/5*o**2 + 2/5*o**4 + 0*o - 6/5*o**3 + u = 0?
0, 1, 2
Let q(w) be the third derivative of w**7/140 + 5*w**6/48 + w**5/20 - w**4/3 - 2*w**2 - 140. Find k, given that q(k) = 0.
-8, -1, 0, 2/3
Let i(v) be the third derivative of -1/42*v**4 - 1/105*v**6 + 0 - 1/735*v**7 - 1/42*v**5 + 0*v**3 + 0*v - 23*v**2. Factor i(j).
-2*j*(j + 1)**2*(j + 2)/7
Suppose -18*u - 17 = -53. Let g(l) be the first derivative of 1/28*l**4 - 6 + 0*l + 1/21*l**3 + 0*l**u. Factor g(q).
q**2*(q + 1)/7
Let d be 23 + -17 + 36/(-16) + (-3)/(-12). Find y such that -12/5*y**d - 51/5*y**3 + 0*y**2 + 6/5 + 21/5*y + 36/5*y**5 = 0.
-2/3, -1/2, 1
Let c = -4 + 7. Let k = 181 + -177. Factor -2*z - 2*z**k - z + z + c*z**4 - 3*z**2.
z*(z - 2)*(z + 1)**2
Suppose 3/8*q**4 + 111/8*q**2 - 15/4*q**3 - 45/2*q + 27/2 = 0. Calculate q.
2, 3
Let a(j) be the second derivative of -j**6/45 + 5*j**5/2 + 77*j**4/6 + 233*j**3/9 + 26*j**2 - 20*j - 3. Factor a(x).
-2*(x - 78)*(x + 1)**3/3
Let u(w) = w**3 - w**2 + w + 1. Let r(k) = 0*k**2 - 53 + 50 - 4*k**3 + 3*k**2 - 2*k. Let g(c) = r(c) + 3*u(c). Find f, given that g(f) = 0.
-1, 0, 1
Let l = -11 - -11. Let y be l + 0 + 9 + -6. Factor 7*r**2 - 3*r - 2*r - 2*r**y - r**3 + 1.
-(r - 1)**2*(3*r - 1)
Let f(p) be the third derivative of 0 + 10*p**2 - 5/24*p**3 + 5/24*p**4 + 0*p - 1/16*p**5. Factor f(v).
-5*(v - 1)*(3*v - 1)/4
Suppose d + 105 = 99. Let v be 12/d + 20/7. Let -2/7*n**2 + v*n + 8/7 = 0. What is n?
-1, 4
Suppose -12*o - 13 = -11*o. Let u(d) = -3*d**2 + 9*d + 12. Let s(h) = 6*h**2 - 18*h - 24. Let a(t) = o*u(t) - 6*s(t). Solve a(m) = 0 for m.
-1, 4
Let o = 5339/75 + -38/25. Let w = 70 - o. What is v in 5/3*v + 2/3 + w*v**3 + 4/3*v**2 = 0?
-2, -1
Let -4*x**2 + 0 + 15/2*x + 1/2*x**3 = 0. What is x?
0, 3, 5
Suppose -4*c - 27 = -3*y, c + 5 - 2 = 0. Suppose 0 = -p + 2*i - 6, -i + 3*i - 18 = -y*p. Find z such that -4 - 2 - 189*z - 3*z**p + 180*z = 0.
-2, -1
Let g be 114/3*(-8)/(-16). Suppose -3*a + g = 10. Let 3*p**a - 6*p**3 + p**5 + 2*p**5 - 3*p**2 + 3*p**4 = 0. Calculate p.
-1, 0, 1
Let y(q) be the first derivative of 105*q**4/4 + 430*q**3/3 + 355*q**2/2 + 30*q - 16. Suppose y(a) = 0. Calculate a.
-3, -1, -2/21
Let b(r) be the first derivative of -r**4 - 28*r**3/3 + 61. What is j in b(j) = 0?
-7, 0
Let j(i) = i**2 + i - 3. Let b(m) = -m**3 + m**2 - 2*m - 3. Let h be b(0). Let u(k) = 3*k**2 + k - 7. Let v(d) = h*u(d) + 7*j(d). What is a in v(a) = 0?
0, 2
Let f(p) be the first derivative of -2*p**3/9 + 7*p**2/3 - 8*p + 205. Factor f(h).
-2*(h - 4)*(h - 3)/3
Suppose 2*a = -1 + 3, 0 = y - 3*a - 7. Factor -4*m**2 + 18*m + m**2 - 17 - y.
-3*(m - 3)**2
Let q(u) be the first derivative of 3*u**2 + 0*u**3 - 1/2*u**4 - 4*u + 35. Determine z so that q(z) = 0.
-2, 1
Find a such that 1534*a**2 + 188/3*a**3 + 8648/3*a + 2/3*a**4 + 4232/3 = 0.
-46, -1
Let d = 30 - 28. Factor -12*u + 23 - 7 + 12*u**d - 12 - 4*u**3.
-4*(u - 1)**3
Let p(f) be the third derivative of f**8/168 + f**7/15 - 17*f**6/20 + 101*f**5/30 - 41*f**4/6 + 8*f**3 - 3*f**2 - 12. Factor p(d).
2*(d - 2)*(d - 1)**3*(d + 12)
Let m = 1321 - 1321. Suppose m - 3/4*r**3 - 3/4*r**4 + 3/4*r**2 + 0*r + 3/4*r**5 = 0. Calculate r.
-1, 0, 1
Let d be 3*-1 - (4 + -9). Let -3 - 13 + 2*g**2 - g**d - 5*g**2 + 16*g = 0. Calculate g.
2
Determine k, given that -4/5*k + 0 + 2/5*k**2 = 0.
0, 2
Let c(r) be the first derivative of -5*r**6/6 - 7*r**5 + 75*r**4/4 + 275*r**3/3 - 35*r**2 - 240*r - 197. Determine t so that c(t) = 0.
-8, -2, -1, 1, 3
Let p(h) be the second derivative of -h**8/1008 - 2*h**7/315 - h**6/72 - h**5/90 + 11*h**2/2 + h. Let m(b) be the first derivative of p(b). Factor m(r).
-r**2*(r + 1)**2*(r + 2)/3
Let l(n) be the third derivative of -n**8/168 + 53*n**7/105 - 51*n**6/20 + 151*n**5/30 - 25*n**4/6 + 451*n**2. Factor l(j).
-2*j*(j - 50)*(j - 1)**3
Let p(u) be the third derivative of u**6/1440 - u**4/96 - u**3/6 + 15*u**2. Let r(l) be the first derivative of p(l). Factor r(d).
(d - 1)*(d + 1)/4
Let u = -178 - -187. Let t be (-6)/u + 2 + (-8)/(-12). Let 2/11*n**t - 4/11*n + 0 = 0. What is n?
0, 2
Let p(j) = -11*j**2 - 26 - 7*j**2 + 15*j + 11*j. Let s(n) = 2*n**2 - 3*n + 3