 0, 1
Let a = 23/30 - 4/15. Let t = -49/4 - -51/4. Determine b so that 1 + a*b**3 - t*b - b**2 = 0.
-1, 1, 2
Suppose 5/4*b + 5/2 - 5/2*b**2 - 5/4*b**3 = 0. What is b?
-2, -1, 1
Let z = 441516/9085 - -3/1817. Let y = z - 48. Factor 3/5*u**3 - 3/5*u**2 - 3/5*u + y.
3*(u - 1)**2*(u + 1)/5
Suppose -30*b = -32*b + 4. Let l(p) be the first derivative of 2/5*p**5 + 0*p**b - 6 + p**4 + 2/3*p**3 + 0*p. Factor l(w).
2*w**2*(w + 1)**2
Suppose 173*a = 167*a + 12, -2*v - 4*a + 16 = 0. Factor -8/3*i**3 + 12*i + 0 + 2/3*i**v - 2*i**2.
2*i*(i - 3)**2*(i + 2)/3
Suppose 44 = -2*r + 48. Let x be (-25)/(-18)*r + 2/9. Factor 0 - 3/4*m**x + 5/4*m**4 - 3*m**2 - m.
m*(m - 2)*(m + 1)*(5*m + 2)/4
Suppose 0 = 116*h - 43*h. Factor -2/3*q**2 + 0*q + h.
-2*q**2/3
Factor 207*n**3 + 5*n**2 - 160 - 112*n - 209*n**3 - 31*n**2.
-2*(n + 4)**2*(n + 5)
Let s be 5/21 - 3/21*-3. Factor -s*v**2 + 1/6*v**5 + 0 - 2/3*v + 1/2*v**3 + 2/3*v**4.
v*(v - 1)*(v + 1)*(v + 2)**2/6
Let i(b) be the second derivative of b**7/210 - b**6/15 + 7*b**5/60 - 23*b**2 - 30*b. Let s(t) be the first derivative of i(t). Solve s(p) = 0 for p.
0, 1, 7
Let j(k) be the third derivative of -k**6/30 - k**5/5 + k**4/6 + 2*k**3 - 2*k**2 + 15*k. Suppose j(t) = 0. What is t?
-3, -1, 1
Let u = 104273/15 + -6951. Factor 0*o - 2/15*o**2 + u.
-2*(o - 2)*(o + 2)/15
Let a be 36/8*(-6)/(-9). Suppose -2*j**a + 34*j**4 + 20*j + 8 - 38*j**4 + 2*j**2 + 10*j**2 - 2*j**3 = 0. What is j?
-1, 2
Let o = 13058/9 + -1448. Let l = -43/18 + o. Find f such that 0 + 1/2*f**2 + l*f = 0.
-1, 0
Let y be (-79)/(-2844)*12/2. Let 0 + y*t + 5/6*t**2 + 2/3*t**3 = 0. Calculate t.
-1, -1/4, 0
Let k(y) be the second derivative of -y**5/330 + y**4/132 + 10*y**2 + 4*y. Let m(x) be the first derivative of k(x). Determine p so that m(p) = 0.
0, 1
Solve -50653/5 + 1/5*f**3 - 111/5*f**2 + 4107/5*f = 0 for f.
37
Let a(j) be the first derivative of j**5/15 - 7*j**4/12 + 14*j**3/9 - 4*j**2/3 + 128. Determine i, given that a(i) = 0.
0, 1, 2, 4
Let b(k) be the second derivative of -1/10*k**6 - 1/2*k**3 + 0 + 1/10*k**5 + 1/2*k**2 + 29*k + 1/42*k**7 + 1/6*k**4. Determine u so that b(u) = 0.
-1, 1
Factor -201/7*u + 390/7 + 3/7*u**2.
3*(u - 65)*(u - 2)/7
Let v(d) = -12*d**2 - 336*d - 322. Let o be v(-27). Factor 12/5*z - 1/5*z**o - 36/5.
-(z - 6)**2/5
Let j(o) = -2 + 2 + o**2. Let x(n) = 1 + 62*n**2 - 2*n - 120*n**2 + 56*n**2. Let m(z) = -3*j(z) - x(z). Suppose m(b) = 0. What is b?
1
Let j(l) be the third derivative of l**8/1008 + l**7/105 - l**6/120 - 4*l**5/45 + l**4/6 + 625*l**2. Suppose j(q) = 0. What is q?
-6, -2, 0, 1
Let g be (-8)/(-3) + ((-189)/(-3213))/(6/34). Factor -3/4*t**2 + t - 1/4*t**4 - t**g + 1.
-(t - 1)*(t + 1)*(t + 2)**2/4
Let 0 + 8/7*d + d**3 - 1/7*d**4 - 2*d**2 = 0. Calculate d.
0, 1, 2, 4
Suppose -2*g - 32 = 4*v, -8*g + 3*g = v - 10. Let b be (v/(40/(-2)))/((-2)/(-4)). Determine j, given that b + 1/4*j**2 - 5/4*j = 0.
1, 4
Suppose -6 = 5*g - 21. Suppose 0 = 3*t - k - 9, -5*t + 5*k + 16 = g*k. Find l such that -4/11 - 2/11*l + 2/11*l**t = 0.
-1, 2
Let k(x) be the second derivative of x**9/3024 + x**8/840 + 23*x**3/6 - 41*x. Let g(u) be the second derivative of k(u). Let g(n) = 0. Calculate n.
-2, 0
Let r be (-32)/(-1728)*(-9)/(-2). Let i(y) be the third derivative of -r*y**4 + 1/30*y**5 - 2/3*y**3 - 7*y**2 + 0 + 0*y. Factor i(k).
2*(k - 2)*(k + 1)
Let c be ((0/(-1))/4)/(-2). Let n = c + 3. Factor n*r**2 + 259*r - 3*r**3 - 259*r.
-3*r**2*(r - 1)
Suppose -112/3 + 2/3*q**4 - 6*q**3 + 24*q + 20/3*q**2 = 0. What is q?
-2, 2, 7
Factor -30/11*q + 16/11 + 2/11*q**3 + 12/11*q**2.
2*(q - 1)**2*(q + 8)/11
Let x = 3 - 1. Suppose -3*c + 30 = 5*n - 5, 4*c = 4*n + 4. What is v in 9 - 3*v**2 - 7*v + 4*v - 3*v + n*v**x = 0?
3
Let t(z) be the second derivative of 0 + 0*z**3 + 40*z + 1/30*z**4 - 2/75*z**5 + 0*z**2 + 1/225*z**6. Let t(l) = 0. What is l?
0, 1, 3
Factor 504/5*g**2 + 6/5 - 99/5*g - 816/5*g**3.
-3*(4*g - 1)**2*(17*g - 2)/5
Let t(q) = 4*q**2 + 0*q**2 + q**2 - 3 - 4*q**2 + 6*q. Let k be t(-7). Factor 12*b**3 + 19*b + 12*b**2 + k*b**4 - 3*b - 12*b.
4*b*(b + 1)**3
Let g = -138 - -120. Let p(s) = s**2 + 17*s - 16. Let z be p(g). Factor 4/9 - 2/9*v**z - 2/9*v.
-2*(v - 1)*(v + 2)/9
Let q(u) be the first derivative of -u**3 + 150*u**2 + 754. Solve q(y) = 0 for y.
0, 100
Suppose 2*n - 12 = n. Find o such that -2*o**3 + n*o + 0*o**4 + o**4 - 3*o**2 + 2*o**2 - 10*o = 0.
-1, 0, 1, 2
Solve -10/3 + 1/3*k**3 + k + 2*k**2 = 0.
-5, -2, 1
Let y be (1 - 58/78)/((-30)/(-26010)). Let v = -222 + y. Suppose -v + 10/13*g + 2/13*g**3 - 8/13*g**2 = 0. What is g?
1, 2
Let t(k) = -k**3 + 22*k**2 - k + 26. Let u be t(22). Suppose u*z = z + 9. Factor -z*h**3 - 2*h**4 - h**4 + 3*h**2 + 3*h - 3 + 3.
-3*h*(h - 1)*(h + 1)**2
Let t(l) be the second derivative of -2*l**6/105 - 4*l**5/35 + 11*l**4/21 - 4*l**3/7 + 26*l + 2. Factor t(m).
-4*m*(m - 1)**2*(m + 6)/7
Let i(t) be the second derivative of 2*t**6/75 + t**5/2 + 14*t**4/5 + 12*t**3/5 + t + 14. Factor i(f).
2*f*(f + 6)**2*(2*f + 1)/5
Let n(o) be the third derivative of -o**5/90 - o**4/36 + 2*o**3/3 - 31*o**2 - 2*o. Solve n(u) = 0 for u.
-3, 2
Suppose 10*f + 12*f = 21*f. Let z(g) be the second derivative of 1/4*g**4 - 1/7*g**3 - 3*g - 3/28*g**5 + 0*g**2 + f. Solve z(d) = 0.
0, 2/5, 1
Suppose x = 6*x - 35. Suppose 0 = -h + x*h. Solve h + 2/11*v**2 - 2/11*v**4 + 2/11*v**3 - 2/11*v = 0 for v.
-1, 0, 1
Let s = -43360 + 216812/5. Find n such that 8/5*n**4 - 16/5*n**2 + 0 + 16/5*n + 4/5*n**5 - s*n**3 = 0.
-2, 0, 1
Let c(q) = 25*q**3 - q**2 + q. Let h be c(1). Suppose -5*t + 10*t = h, -3*f = -t - 7. Factor -6*r**2 + r + f*r**2 - 1 + 5*r - 3.
-2*(r - 2)*(r - 1)
Suppose 0 = 105*k - 99*k - 108. Suppose 6 + k = 12*c. Factor 6*m - 15/2*m**c + 3*m**3 - 3/2.
3*(m - 1)**2*(2*m - 1)/2
Let z be 1 + (-4)/240*58. Let v(a) be the second derivative of 1/12*a**4 + 0 + 3*a - 2/9*a**3 + z*a**5 - 2/3*a**2 - 1/90*a**6. Factor v(p).
-(p - 2)**2*(p + 1)**2/3
Suppose -4*z + 4 + z**2 + 0 + 3*z + 0*z - 4*z = 0. What is z?
1, 4
Let o(k) be the third derivative of 1/420*k**6 + 0*k - 1/1176*k**8 - 1/735*k**7 + 0*k**3 + 0 + 1/210*k**5 + 14*k**2 + 0*k**4. Solve o(h) = 0.
-1, 0, 1
Let u(o) = 13*o**4 + 13*o**3 + 3. Let i(h) = 27*h**4 + 25*h**3 + 5. Let g(f) = 6*i(f) - 10*u(f). Determine v, given that g(v) = 0.
-5/8, 0
Let b = 382 - 215. Factor -t**4 - b*t**3 + 5*t**4 + 171*t**3.
4*t**3*(t + 1)
Factor -39 + 56*s**2 - 34*s**2 - 111 - 20*s**2 - 20*s.
2*(s - 15)*(s + 5)
Determine u, given that 1 - 8 + 11 + 17 + 3 - 20*u - 4*u**2 = 0.
-6, 1
Let d = -72 + 137. Let a be 5*5*(75/d - 1). Solve -8/13 - 38/13*u**3 - 14/13*u**4 - 32/13*u - a*u**2 - 2/13*u**5 = 0 for u.
-2, -1
Let z(f) be the second derivative of f**4/66 - 23*f**3/33 + 42*f**2/11 - 2*f + 441. Find b, given that z(b) = 0.
2, 21
Let g = -16599 + 116194/7. What is z in -2/7*z**2 + 0*z + g*z**3 + 0 = 0?
0, 2
Suppose -2*l - 1 + 21 = 5*v, 4*v - 3*l - 16 = 0. Factor 4/15*s**3 - 2/15*s**2 + 0 - 2/15*s**v + 0*s.
-2*s**2*(s - 1)**2/15
Let q(o) be the third derivative of -o**6/24 - o**5/2 - 25*o**4/24 + 10*o**3 + o**2 + 128*o. Suppose q(n) = 0. What is n?
-4, -3, 1
Let t(p) be the second derivative of p**7/294 - 11*p**6/210 + p**5/20 + 31*p**4/84 - 4*p**3/21 - 10*p**2/7 + 8*p + 13. Solve t(h) = 0 for h.
-1, 1, 2, 10
What is g in -22/3*g - 124/9 - 2/9*g**2 = 0?
-31, -2
Let i(c) be the third derivative of -c**5/130 + 7*c**4/156 - 2*c**3/39 - 49*c**2. Suppose i(g) = 0. What is g?
1/3, 2
Let k(i) be the first derivative of 1/18*i**4 + 0*i**3 - 11 + 0*i**2 - 4/45*i**5 + 0*i + 1/27*i**6. Suppose k(a) = 0. What is a?
0, 1
Let r = 116 - 81. Suppose v + 33 = r. Find o, given that -7/3*o**2 + v + 19/3*o = 0.
-2/7, 3
Let i(p) be the second derivative of p**10/10080 - p**9/2520 - 3*p**4/2 + 3*p. Let z(g) be the third derivative of i(g). Determine m, given that z(m) = 0.
0, 2
Determine j so that 2*j**2 + 0 - 7/4*j - 1/4*j**3 = 0.
0, 1, 7
Let c(h) be the third derivative of 2*h**7/105 + h**6/30 - 4*h**5/5 - 14*h**4/3 - 32*h**3/3 + 50*h**2 + 2*h. Find y, given that c(y) = 0.
-2, -1, 4
Let k be -2*3*4/36*-3. Determine l, given that -3*l**k - 35 - l**4 - 4*l**3 + 35 = 0.
-3, -1, 0
Let g = 18 - 6. Factor -g - 5*c + 36*c**3 - 31*c + 28*c**4 - 5*c**2 - 15*c**2 + 4.
4*(c - 1)*(c + 1)**2*(7*c + 2)
Let l(t) be the first derivative of 7/6*t - 12 