a**3 - 1/3*a**2 - 14*a - 1/36*a**4. What is r in x(r) = 0?
-2, -1
Let w = 1243/15 + -245/3. Factor 3*a**2 + 0 - w*a + 21/5*a**3.
3*a*(a + 1)*(7*a - 2)/5
Let z(k) be the first derivative of 3*k**4 + k**2 + 25/3*k**6 - 17 - 16*k**5 + 16/3*k**3 + 0*k. Factor z(v).
2*v*(v - 1)**2*(5*v + 1)**2
Let j = 56210 + -56208. Determine k, given that 1/2*k**j - 1/4*k**3 + 0 + 2*k = 0.
-2, 0, 4
Let a(v) be the third derivative of 5*v**6/4 - 179*v**5/12 + 55*v**4 + 15*v**3/2 + 216*v**2 + 1. Factor a(t).
5*(t - 3)**2*(30*t + 1)
Suppose -60*n - 15*n**3 + 2*n**4 - 9*n**4 + 80*n**2 + 7*n**4 - 5*n**4 = 0. What is n?
-6, 0, 1, 2
Let d(a) = 10*a**4 - 25*a**3 + 25*a**2 + 5*a. Let i(x) = -11*x**4 + 25*x**3 - 24*x**2 - 6*x. Let u(o) = 6*d(o) + 5*i(o). Suppose u(l) = 0. What is l?
0, 2, 3
Let s(y) = y**3. Let u(a) = -11*a**3 - 14*a**2 + 34*a - 18. Let p(b) = 18*s(b) + 2*u(b). Solve p(t) = 0.
-9, 1
Let g(u) = -5*u**3 - 4*u**2 - 7*u - 5. Let y(l) = -3*l**3 - 3*l**2 - 8*l - 6. Let p(t) = 2*g(t) - 3*y(t). Factor p(i).
-(i - 4)*(i + 1)*(i + 2)
Suppose -151 + 45*v**2 + 1131 - 1038*v + 1458*v = 0. What is v?
-14/3
Let n(j) be the third derivative of 36*j**2 - 1/32*j**4 + 0 - 1/160*j**5 + 1/160*j**6 + 1/560*j**7 + 0*j**3 + 0*j. Find d, given that n(d) = 0.
-2, -1, 0, 1
Let i(u) be the second derivative of -16*u**6/195 - 28*u**5/65 - 11*u**4/26 + 28*u**3/39 - 4*u**2/13 + 225*u. Factor i(h).
-2*(h + 2)**2*(4*h - 1)**2/13
Let q(r) = r**3 + 8*r**2 - 10. Let s be q(-8). Let x = -7 - s. Suppose 6*d**3 - 2*d**3 - x*d**3 - d**2 = 0. What is d?
0, 1
Let w(u) be the third derivative of 0 + 1/120*u**5 - 1/48*u**4 + 1/240*u**6 - 1/12*u**3 + 0*u + 4*u**2. Factor w(a).
(a - 1)*(a + 1)**2/2
Let b(r) be the second derivative of r**6/105 - r**4/7 - 8*r**3/21 - 3*r**2/7 - 10*r. Factor b(v).
2*(v - 3)*(v + 1)**3/7
Let i(b) be the first derivative of 10*b**4 - 60*b**3 + 525*b**2/4 - 245*b/2 - 2. Find x such that i(x) = 0.
1, 7/4
Let z(m) be the third derivative of 0*m - 1/1260*m**7 + 0 - 2/9*m**4 + 4*m**2 + 7/720*m**6 - 1/60*m**5 + 8/9*m**3. Solve z(d) = 0.
-2, 1, 4
Let b = 1043/144 - -5/16. Let s = b + -1/18. Factor 9/2 + s*d + 3/2*d**2 - 3/2*d**3.
-3*(d - 3)*(d + 1)**2/2
Suppose -4*l - 166 = -2*q, q - 3*l = -2*l + 79. Let h = q + -72. Factor 1/3*u**4 - 1/3*u**2 - 1/3*u**h + 1/3*u + 0.
u*(u - 1)**2*(u + 1)/3
Let b(i) be the second derivative of 1/4*i**4 - 1/30*i**6 + i**2 - 1/20*i**5 + 12*i + 0 + 5/6*i**3. Determine l, given that b(l) = 0.
-1, 2
Factor 24/13*v + 2 - 2/13*v**2.
-2*(v - 13)*(v + 1)/13
Let n(c) be the first derivative of -c**3/3 + 53*c**2/2 + 54*c + 280. Solve n(w) = 0.
-1, 54
Let r(d) be the first derivative of d**5/50 - d**4/15 - d**3/15 + 2*d**2/5 + 2*d - 2. Let v(u) be the first derivative of r(u). Let v(z) = 0. Calculate z.
-1, 1, 2
Let n(j) be the second derivative of j**8/112 - j**6/20 + j**4/8 - 2*j**2 - 30*j. Let a(w) be the first derivative of n(w). Factor a(h).
3*h*(h - 1)**2*(h + 1)**2
Suppose -5*k + 11 = 3*q, 0 = 4*k - 3*k + 4*q + 8. Suppose -3*b + 4*h + 8 = -k, 3*b - 5*h = 15. Factor -4/9*r**4 + b*r - 2/9*r**3 - 2/9*r**5 + 0*r**2 + 0.
-2*r**3*(r + 1)**2/9
Let t be (4/3)/((-14)/21). Let f be (-2)/(-1) - (t + 1). Factor 30*m**f - 11*m**2 + 4 - 33*m**2 + 6*m + 4*m.
2*(m - 1)*(3*m - 2)*(5*m + 1)
Factor -1350 + 567*q**4 + 566*q**4 + 36*q**2 - 2*q**5 - 1131*q**4 + 76*q**3 - 810*q.
-2*(q - 5)**2*(q + 3)**3
Let d = -2 + 2. Let c be -1*(-6)/3 + -2 + d. Factor -1/2*k**2 + 1/4*k**3 + 0*k + c.
k**2*(k - 2)/4
Let p be 9 + (0 - (1 + 6)). Determine z so that 0*z + 1/5*z**p - 1/5 = 0.
-1, 1
Let h(x) be the first derivative of 0*x - 8/5*x**5 + 3*x**4 - 50 + 0*x**2 + 0*x**3. Solve h(t) = 0.
0, 3/2
Let a(j) be the first derivative of -4*j**3/3 - 32*j**2 + 144*j - 297. Factor a(i).
-4*(i - 2)*(i + 18)
Let f = 20 + -19. Let u(i) = 7*i**2 + i - 1. Let d be u(f). Let d*r**5 - 12*r**2 - 3*r**4 - 12*r**4 + 14*r**5 - 48*r**3 = 0. What is r?
-1, -2/7, 0, 2
Solve 27*s - 32/3 - 1/2*s**3 + 91/6*s**2 = 0 for s.
-2, 1/3, 32
Let 80*b**2 - 57*b**2 + 113*b - 62*b**2 - 45 - 12*b**3 - 17*b = 0. Calculate b.
-5, 3/4, 1
Let s(p) = 7*p**4 + 14*p**3 + 19*p**2 - 4. Let g(t) = -6*t**4 - 14*t**3 - 19*t**2 - t + 4. Let y(q) = -4*g(q) - 3*s(q). Suppose y(b) = 0. Calculate b.
-2, -1, 1/3
Let a(q) be the second derivative of q**4/3 + 10*q**3 + 52*q**2 + 285*q. Factor a(m).
4*(m + 2)*(m + 13)
Let y = -75 + 78. Let v = 6 - 3. Find s such that -2*s + 3*s**v + s**3 + y*s**3 - s**4 - 5*s**3 + 1 = 0.
-1, 1
Suppose 4*r - 122 = 822. Factor r - 221 + 31*t + 19*t - 15*t + 25*t**2 + 5*t**3.
5*(t + 1)**2*(t + 3)
Let u = -219 - -223. Let m(k) be the first derivative of 0*k + k**2 + 1/3*k**6 + u + 0*k**5 - k**4 + 0*k**3. Find l, given that m(l) = 0.
-1, 0, 1
Let i(b) = -3*b**5 + 33*b**4 - 75*b**3 - 60*b**2 + 243*b + 189. Let a(k) = -k**4 - k + 1. Let w(f) = -3*a(f) - i(f). Determine t so that w(t) = 0.
-1, 4
Suppose -j + 2 = -19*l + 20*l, -2*l = 5*j - 10. Let -1/6*w**2 + l + 0*w = 0. Calculate w.
0
Let n be -12 - -1 - 1258/(-102). Find l such that n*l + 0*l**2 + l**5 + 0 - 3*l**3 + 2/3*l**4 = 0.
-2, -2/3, 0, 1
Let a = -6671 - -33357/5. Let 0*t - a*t**2 + 2/5*t**4 + 2/5*t**5 + 0 - 2/5*t**3 = 0. Calculate t.
-1, 0, 1
Let u(j) be the second derivative of 7/33*j**3 + 0 - 2/11*j**2 + j + 2/33*j**4. Suppose u(k) = 0. Calculate k.
-2, 1/4
Let c(o) be the first derivative of -6*o**5/55 - 13*o**4/22 - 38*o**3/33 - o**2 - 4*o/11 + 117. Suppose c(v) = 0. What is v?
-2, -1, -1/3
Let y(l) be the first derivative of -20/3*l**3 + 0*l - 3 - 8*l**2 - l**4. Factor y(q).
-4*q*(q + 1)*(q + 4)
Let c = 4291/40 - -337/8. Let v = 150 - c. Determine x so that 0 + 3/5*x**4 + v*x**3 + 0*x - 3/5*x**5 - 3/5*x**2 = 0.
-1, 0, 1
Suppose -k = -4*a + 3, 3*a - 4*a = 5*k + 15. Let r be (3*k/36)/((-1)/8). Factor -4*i + 5/2*i**2 - r.
(i - 2)*(5*i + 2)/2
Let r(t) be the second derivative of -t**4/66 + 7*t**3/33 - 10*t**2/11 - 74*t. Factor r(l).
-2*(l - 5)*(l - 2)/11
Let p(y) be the second derivative of 5*y**4/12 - 37*y**3/24 + y**2 + 142*y. Suppose p(g) = 0. What is g?
1/4, 8/5
Suppose 7*o - 18 = -4. Let -3*f**o + 5*f**3 + 9*f**2 - 6*f**3 = 0. Calculate f.
0, 6
Let y(j) = 2*j**3 - 11*j**2 + 5*j - 6. Let o be y(7). Factor -3*b**4 - o*b**3 - 5*b**5 - 2*b**4 + 206*b**3.
-5*b**3*(b - 2)*(b + 3)
Let i(j) be the second derivative of -11*j - 1/56*j**7 + 0*j**3 + 0*j**4 + 0*j**2 - 3/40*j**6 + 0 - 3/40*j**5. Factor i(d).
-3*d**3*(d + 1)*(d + 2)/4
Suppose 3*c - 4*x - 9 = 0, -2*c + 5*x + 9 = c. Let j(l) be the first derivative of -2/3*l**c + 0*l - 1/2*l**4 - 2 + 2/5*l**5 + l**2. Factor j(h).
2*h*(h - 1)**2*(h + 1)
Let x(w) be the second derivative of -w**5/60 + w**4/12 + 7*w**2 - 5*w. Let z(y) be the first derivative of x(y). Determine p so that z(p) = 0.
0, 2
Let m(o) be the first derivative of -21/10*o**2 - 24 + 6/5*o - 3/4*o**4 + 3/25*o**5 + 9/5*o**3. Factor m(i).
3*(i - 2)*(i - 1)**3/5
Let z be 2 - (-7 - (-7 - 0)). Determine w, given that -4/7*w - 4/7*w**3 + 0 - 8/7*w**z = 0.
-1, 0
Let d(b) = 5*b**2 - 70*b - 6. Let q(j) = 20*j**2 - 280*j - 25. Let h(x) = -25*d(x) + 6*q(x). Find t such that h(t) = 0.
0, 14
Suppose 96*h - 131*h + 70 = 0. Let y be 11/15 - 6/15. Factor 0 + y*w + 1/3*w**h.
w*(w + 1)/3
Suppose -16/5*h - 6/5*h**2 + 2/5*h**4 - 8/5 + 4/5*h**3 = 0. What is h?
-2, -1, 2
Factor -4*r**2 + 15*r - 397 - 93*r + 359.
-2*(r + 19)*(2*r + 1)
Let d be 8/(-6)*(-1 - 2). Find n such that n - n**3 - 8*n**d + n**2 - 2*n**2 + 18*n**4 - 9*n**4 = 0.
-1, 0, 1
Let m(j) be the second derivative of -j**4/18 - 2*j**3 - 56*j**2/3 - 302*j. Suppose m(f) = 0. Calculate f.
-14, -4
Let j = 67414 - 1007243/15. Let c = 803/3 - j. What is p in -c*p - 2/5*p**3 - 8/5 - 2*p**2 = 0?
-2, -1
Let v = 22 - 12. Factor v + l + 0*l**2 - 8 - l**2 + 0*l.
-(l - 2)*(l + 1)
Let k(o) = -4*o**3 + 3*o**3 - 305*o**2 - 1 + 304*o**2. Let a(u) = -9*u**3 + 23*u**2 - 150*u + 243. Let l(v) = 2*a(v) - 14*k(v). Factor l(q).
-4*(q - 5)**3
Factor 2/7*z**4 + 6/7*z**2 - 8/7 - 8/7*z + 8/7*z**3.
2*(z - 1)*(z + 1)*(z + 2)**2/7
Factor -29*b + 140*b + 12500 - 611*b + 5*b**2.
5*(b - 50)**2
Suppose 6*b - 657 = -633. Let t(q) be the third derivative of 0*q**3 + 0 + 6*q**2 + 0*q + 1/525*q**7 - 1/50*q**5 - 1/30*q**b + 0*q**6. Factor t(w).
2*w*(w - 2)*(w + 1)**2/5
Suppose 0 = 12*a - 22*a - 10. Let z(w) = w**4 + w**3 + w + 1. Let p(r) = -2