t + 6 - 2/3*t**3 = 0.
-3, -1, 3
Let o be -24 + (-19 - -45) + 3 + -3 + 2. Solve r + 1/2*r**2 - o = 0.
-4, 2
Let o(k) be the first derivative of k**5/60 - k**4/8 + k**3/3 + 8*k**2 + 5. Let i(p) be the second derivative of o(p). Solve i(z) = 0 for z.
1, 2
Let k(o) be the first derivative of o**6/15 + 12*o**5/25 + 4*o**4/5 - 4*o**3/15 - 9*o**2/5 - 8*o/5 - 378. Determine h so that k(h) = 0.
-4, -1, 1
Find f such that -135*f**2 - 12 + 25*f + 101*f + 150*f = 0.
2/45, 2
Let l(b) be the first derivative of -2/45*b**5 + 0*b**3 + 0*b**2 + 11 + 0*b - 1/9*b**4. Factor l(m).
-2*m**3*(m + 2)/9
Let f be 36/15*(-5)/(-2). Solve 5*h**4 - 6*h**3 - 4*h**5 + f*h**5 + h**5 - 4*h**5 = 0 for h.
0, 2, 3
Let x(w) be the first derivative of 5*w**6/6 + w**5 - 35*w**4/4 - 65*w**3/3 - 15*w**2 + 48. Find p such that x(p) = 0.
-2, -1, 0, 3
Let m = 31 - 29. Factor 29 - n**5 - 65 - 3*n**4 + 32 + 7*n**m + n**3.
-(n - 1)**2*(n + 1)*(n + 2)**2
Let z(n) be the third derivative of -n**7/8820 + n**6/2520 + 29*n**4/24 - 25*n**2. Let v(j) be the second derivative of z(j). What is k in v(k) = 0?
0, 1
Suppose -52 = -25*d - d. Find o such that -12/5*o - 3/5*o**d - 12/5 = 0.
-2
Let p(g) be the third derivative of 17/6*g**4 + 7/30*g**6 + 17/15*g**5 - 38*g**2 + 0*g + 0 + 4*g**3 + 2/105*g**7. Find w, given that p(w) = 0.
-3, -2, -1
Let a(j) = -2*j**2 + 11*j - 5. Let n(d) = d + 2*d**2 - 3*d - 8*d + 5 + 1. Let q(c) = 4*a(c) + 6*n(c). Factor q(r).
4*(r - 2)**2
Let l(d) be the second derivative of 34*d + 0 + 0*d**2 - 5/6*d**4 + 1/4*d**5 + 5/6*d**3. Let l(v) = 0. What is v?
0, 1
Let u(z) = z - 8. Let o(p) = -p**3 - 2*p - 2. Let y be o(-2). Let m be u(y). Factor m*q**2 + 5*q**2 + 4 - 2*q - 9*q**2.
-2*(q - 1)*(q + 2)
Let g(f) = 31*f - 21. Let y be g(7). Suppose -144*b**4 + y*b**4 - 2*b**2 - 100*b**4 + 18*b**3 + 32*b**5 = 0. What is b?
0, 1/4, 1
Let p(s) be the first derivative of s**4 - 184*s**3/3 - 190*s**2 - 192*s + 77. Factor p(t).
4*(t - 48)*(t + 1)**2
Let q be (((-2)/8)/((-42)/(-98)))/(-4). Let l(p) be the second derivative of 1/80*p**5 + 2*p - 9/8*p**2 + 0 - q*p**4 + 5/8*p**3. Factor l(n).
(n - 3)**2*(n - 1)/4
Let k(u) be the second derivative of u**9/52920 - u**8/47040 - u**7/8820 + u**6/5040 - 11*u**4/12 + 8*u. Let g(r) be the third derivative of k(r). Factor g(n).
n*(n - 1)*(n + 1)*(2*n - 1)/7
Let f(r) = 3*r**3 + 7*r**2 + 7*r + 3. Let l(x) = 8*x**3 + 20*x**2 + 22*x + 10. Let g(h) = 20*f(h) - 6*l(h). Factor g(a).
4*a*(a + 1)*(3*a + 2)
Let h(i) be the third derivative of -19*i**2 + 0*i - 1/60*i**4 + 0 - 1/450*i**5 - 2/45*i**3. Solve h(q) = 0.
-2, -1
Let a(q) be the third derivative of -q**8/420 + 2*q**7/105 + q**6/75 - 28*q**5/75 + 4*q**4/15 + 64*q**3/15 + 13*q**2 + q. What is x in a(x) = 0?
-2, -1, 2, 4
Factor 2*f**2 - 2*f**5 + 18 - 26 + 11*f**3 - 6*f**5 + 13*f**5 - 4*f**5 + 6*f**4 - 12*f.
(f - 1)*(f + 1)*(f + 2)**3
Let l(f) = f**2 - 21*f + 30. Let q be l(15). Let j be (4/q)/((-3)/9). Determine m so that 1/5*m - j*m**2 + 1/5 - 1/5*m**3 = 0.
-1, 1
Let d(w) be the second derivative of -w**4/48 - 13*w**3/12 + 27*w**2/8 + w + 60. Solve d(s) = 0 for s.
-27, 1
Factor -44 + 28*b - 19 + b**3 - 29*b + 94*b + 2*b**3 - 33*b**2.
3*(b - 7)*(b - 3)*(b - 1)
Let h(c) be the first derivative of c**7/42 - c**6/6 + c**5/3 - 6*c**2 + 14. Let b(u) be the second derivative of h(u). Factor b(p).
5*p**2*(p - 2)**2
Let h = 309 + -305. Let t(o) be the third derivative of -1/10*o**6 + 0*o**3 + 0*o + 1/3*o**5 + 9*o**2 + 0 + 1/3*o**h. Factor t(u).
-4*u*(u - 2)*(3*u + 1)
Let q = 887/1776 - -1/1776. Let q*s**3 - 1/6*s**4 + 0 + 1/6*s - 1/2*s**2 = 0. What is s?
0, 1
Suppose 3*u - 47 = 2*s, -2*s + 4*s + 2 = 0. Factor -u*p - 8*p**2 - 4 + 24*p**2 + 3*p.
4*(p - 1)*(4*p + 1)
Let b = 272688/5 + -54537. Solve -b*l**2 - 24/5 + 27/5*l = 0 for l.
1, 8
Let a(h) = -2*h**2 + 51*h - 304. Let p be a(16). Solve 3/4*c**5 + 0*c**3 + p - 3/4*c + 3/2*c**4 - 3/2*c**2 = 0 for c.
-1, 0, 1
Let o(x) be the first derivative of -x**5/5 + 5*x**4/4 + 13*x**3/3 + 7*x**2/2 + 150. Solve o(b) = 0 for b.
-1, 0, 7
Suppose 0 = -4*d + 4*b + 48, b - 36 = -3*d - 3*b. Factor z**2 + 9*z - 6*z - 4 + 12 - d.
(z - 1)*(z + 4)
Factor -95*x + 2205 + 5*x**2 - 23*x - 67*x - 25*x.
5*(x - 21)**2
Solve 1217 - 190*o - 26*o**3 - 587 + 2*o**4 + 114*o**2 - 530 = 0 for o.
1, 2, 5
Let u(q) = -6*q + 32. Let c be u(4). Suppose -91*o + c + 3*o**3 + 4 + 70*o + 6*o**2 = 0. What is o?
-4, 1
Let d(s) = 83*s**2 + s + 1. Let x be d(-1). Let a = 85 - x. Factor -4/9 - 14/9*u - 2/3*u**a.
-2*(u + 2)*(3*u + 1)/9
Let d be 37/20 + (-17)/68. Let l be 3 + 7 + (-14 - -6). Factor l*i**2 + d - 16/5*i - 2/5*i**3.
-2*(i - 2)**2*(i - 1)/5
Factor -1/2*v**3 + 0 + 9/2*v**2 + 0*v.
-v**2*(v - 9)/2
Let h(s) = 8*s**4 + 40*s**3 - 8*s**2 + 4*s. Let c(f) = -f**5 + 9*f**4 + 40*f**3 - 6*f**2 + 3*f. Let d(k) = -4*c(k) + 3*h(k). Factor d(a).
4*a**3*(a - 5)*(a + 2)
Let v(d) be the third derivative of 0*d + 2/735*d**7 + 0*d**3 + 1/140*d**6 + 0 + 10*d**2 - 2/105*d**5 - 1/1176*d**8 - 1/21*d**4. Suppose v(y) = 0. What is y?
-1, 0, 2
Factor 570*f**4 - 286*f**4 - 126*f**2 - 285*f**4 - 20*f**3 - 196*f + 343.
-(f - 1)*(f + 7)**3
Suppose 3*g + 5 = t + 7*g, 0 = 4*g. Let h be 8/6 + 8/12. Factor -12*a**4 + 5*a**5 - 6*a**2 - h*a**t - 4*a**3 + 0*a**5 + 19*a**3.
3*a**2*(a - 2)*(a - 1)**2
Let i be (2 + (-203)/102 - 0)*92. Let w = -4/17 + i. Factor -1/3*x**5 + 7/3*x - 8/3*x**2 + 2/3*x**3 - 2/3 + w*x**4.
-(x - 1)**4*(x + 2)/3
Suppose 3 = -4*a + z + 2, -4*z - 12 = 0. Let w be (1 + -3 + 3)*a - -4. Factor -1/4*t**2 + 1/4*t**w + 0 - 1/2*t.
t*(t - 2)*(t + 1)/4
Let t = 5929 + -5929. Suppose -4*f = -2*f - 3*n - 25, -3*f - 2*n + 5 = 0. Suppose 4/7*r**2 + 4/7*r**4 - 2*r**3 + 6/7*r**f + 0*r + t = 0. Calculate r.
-2, 0, 1/3, 1
Suppose 4*q = -j + 366, 0 = j + q - 139 - 215. Let a = -2446/7 + j. Factor 0*l + 0 + 8/7*l**4 + 18/7*l**3 + a*l**2.
2*l**2*(l + 2)*(4*l + 1)/7
Let y be 90/25 - 10/(-25). Suppose 7 = q + y. Factor 3/7*u**q - 3/7*u + 0 + 0*u**2.
3*u*(u - 1)*(u + 1)/7
Let k(z) be the first derivative of 156025*z**3/6 - 395*z**2 + 2*z + 101. Factor k(l).
(395*l - 2)**2/2
Let s be 6/8 - -3*(-185)/(-60). Let 11*f + s + 0 + 7*f - 10*f - 2*f**2 = 0. Calculate f.
-1, 5
Find p such that -3/5*p**2 - 318/5*p - 8427/5 = 0.
-53
Let b(q) = -14*q + 285. Let l be b(20). Let p(v) be the second derivative of -1/6*v**2 + 4*v + 1/6*v**3 + 1/60*v**l - 1/12*v**4 + 0. Find m such that p(m) = 0.
1
Let j = -93 - -100. Let y be (-11 - -10)*(-1)/j. Factor 0*p**2 + 0*p + y*p**3 + 0.
p**3/7
Let k(n) be the second derivative of -n**4/14 + 50*n**3/7 - 1875*n**2/7 + 41*n. Solve k(h) = 0.
25
Factor 0*n + 12/7*n**3 + 0 - 40/7*n**2 + 4/7*n**4.
4*n**2*(n - 2)*(n + 5)/7
Let r(w) = -17*w**3 + 21*w**2 - 33*w + 14. Let a(d) = -63*d**3 + 83*d**2 - 131*d + 56. Let y(q) = -6*a(q) + 22*r(q). Suppose y(v) = 0. What is v?
1, 7
Let o = -122 - -131. Let d be (-8)/o*23/(-92). Factor 0*k + 8/9*k**2 + 8/9*k**3 + d*k**4 + 0.
2*k**2*(k + 2)**2/9
Suppose 4*v + 25 = 9*v. Factor -20 - 6*w - 10*w**2 + 3*w**v + 7*w**5 + 65*w**2 + 65*w**4 + 115*w**3 - 19*w.
5*(w + 1)**3*(w + 4)*(2*w - 1)
Let i(g) = -9*g**2 - 37*g - 44. Let m(y) = 6*y**2 + 25*y + 29. Let o(u) = -5*i(u) - 8*m(u). Factor o(b).
-3*(b + 1)*(b + 4)
Let y(h) be the second derivative of -20/3*h**3 + 11*h - 10*h**2 + 1/2*h**5 + 0 + 1/6*h**6 - 5/4*h**4. Factor y(p).
5*(p - 2)*(p + 1)**2*(p + 2)
Let d(j) be the second derivative of -2*j**6/5 - 8*j**5/5 - j**4 + 4*j**3/3 + 52*j. Factor d(y).
-4*y*(y + 1)*(y + 2)*(3*y - 1)
Let s(h) be the first derivative of -3*h**4/4 - 9*h**3 + 63*h**2/2 - 33*h - 58. Let s(l) = 0. What is l?
-11, 1
Suppose -10*u + 135*u - 625 = 0. Find s, given that 3/4*s**3 + 1/4*s**4 - 1/2*s + 0 - 1/4*s**u - 1/4*s**2 = 0.
-1, 0, 1, 2
Let i(h) be the second derivative of 0*h**2 + 4/21*h**3 + 0 - 1/70*h**5 + 8*h + 0*h**4. Find p, given that i(p) = 0.
-2, 0, 2
Factor -1/3*o**2 + 188/3*o - 8836/3.
-(o - 94)**2/3
Let u(y) = y**2 + 14*y + 16. Let o be u(-13). Suppose 0*p + o*p = 5*p. Factor -1/8*b**2 + 1/8 + p*b.
-(b - 1)*(b + 1)/8
Let f(b) = -b**2 - 6*b + 2. Let g be f(-6). Suppose 5*v**g + 74 - 3*v**2 + 8*v - 66 = 0. What is v?
-2
Let u(b) = 3*b**2 - 15*b - 14. Let j be u(6). Suppose -3 = -5*g + 2*r + 13, j*g = 3*r + 17. Solve -9/4*n + 3/4 + 3/2*n**g = 0.
1/2, 1
Let i(n) = n**3 - n**2 + n + 236. Let d be i(0). Determine j so 