= c - 15. Solve 3*i - 4*i**2 - c*i + 9 - 6*i + i**2 = 0.
-3, 1
Let c be 55/605 + (-135)/(-330). Solve -c*t + 0*t**2 + 0 + 1/2*t**3 = 0 for t.
-1, 0, 1
Suppose 15*l = 12*l + 12. Suppose -5*v - 129 + 149 = 0. Factor 10*g**3 - l*g**v + 23*g**2 - g**4 - 40*g - 3*g**2.
-5*g*(g - 2)**2*(g + 2)
Let j be (67/(-3))/(2/21*-7). Let y(d) be the first derivative of -7/4*d**6 + 111/10*d**5 + 13 - 219/8*d**4 + 6*d + j*d**3 - 21*d**2. Solve y(o) = 0.
2/7, 1, 2
Suppose 120*d - 732 + 169 = 157. Let y(f) be the first derivative of 8*f**2 - 19 - 12*f**3 + d*f**4 - 4/5*f**5 + 0*f. Let y(i) = 0. What is i?
0, 1, 4
Let p(h) be the second derivative of -h**4/30 - 5*h**3/3 - 144*h**2/5 + 144*h + 5. Solve p(v) = 0 for v.
-16, -9
Let w(a) be the first derivative of 5 + 2/25*a**5 + 0*a**3 + 0*a**2 - 1/30*a**6 - 1/20*a**4 + 0*a. Factor w(r).
-r**3*(r - 1)**2/5
Let p be ((-6)/(-9))/(8/2340). Factor -w**4 + 11*w**2 - w**4 + 16 - 159*w + p*w + 11*w**2.
-2*(w - 4)*(w + 1)**2*(w + 2)
Let b(s) = -36*s**3 - 46*s**2. Let q(t) be the first derivative of 3*t**4/4 - t**3/3 + t**2/2 + 137. Let p(o) = -b(o) + 2*q(o). Suppose p(v) = 0. Calculate v.
-1, -1/21, 0
Let -14 + 166/3*o - 134*o**4 - 6*o**5 + 92/3*o**2 - 500/3*o**3 = 0. Calculate o.
-21, -1, 1/3
Let b(u) be the first derivative of -2/33*u**3 + 0*u**2 + 156 - 2/55*u**5 + 0*u + 1/11*u**4. What is p in b(p) = 0?
0, 1
Let m be 1795/(-6) - (-118)/708. Let i be m/(-11) - (-112)/(-616). Factor 0 - i*d - 3/4*d**3 - 9*d**2.
-3*d*(d + 6)**2/4
Suppose 0 = -2*s + 3*w + 12, 2*w = -3*s - 3*w + 18. Suppose -s*x = 5 - 23. Solve 18*m**x + 23*m**3 - 45*m**3 = 0.
0
Let h be 7/14*4/10. Let l be -7 - (9/5)/(3*(-11)/220). Factor 0 + 0*k**3 + 1/5*k - 2/5*k**2 + 2/5*k**4 - h*k**l.
-k*(k - 1)**3*(k + 1)/5
Suppose 3*y + 15 = 36. Let f = -542 + 557. Factor -2*i - 3*i**4 - 7*i**3 - y*i + 4*i**4 + f*i**2.
i*(i - 3)**2*(i - 1)
Let p(f) be the second derivative of 4*f**4/3 + 1100*f**3/3 + 75625*f**2/2 - 642*f + 3. What is m in p(m) = 0?
-275/4
Let g(x) be the second derivative of 13*x**4/21 + 107*x**3/42 + 3*x**2/7 - 586*x. Let g(f) = 0. Calculate f.
-2, -3/52
Let k = 1944 + -11651/6. Let n(u) be the third derivative of k*u**4 - 8/3*u**3 + 7/30*u**5 + 0*u - 15*u**2 + 0. Determine a, given that n(a) = 0.
-4, 2/7
Let b(k) be the third derivative of -k**7/70 - 4*k**6/5 + 7*k**5 - 18*k**4 + 2676*k**2. Factor b(c).
-3*c*(c - 2)**2*(c + 36)
Let k(m) be the second derivative of -7*m**6/8 - 121*m**5/80 - m**4/4 + m**3/6 + 1370*m + 2. Suppose k(h) = 0. Calculate h.
-1, -2/7, 0, 2/15
Let i(v) be the second derivative of 0 - 106*v + 1/10*v**5 - 1/115*v**6 - 31/69*v**4 - 24/23*v**2 + 68/69*v**3. Determine u so that i(u) = 0.
2/3, 2, 3
Suppose 8 = 5*w + 2*c, -2 = 4*w + 224*c - 221*c. Suppose -1849/6*y**w - 2/3 - 1763/3*y**3 - 503/2*y**2 + 82/3*y = 0. What is y?
-1, 2/43
Let y(j) be the first derivative of -2*j**3/3 + 43*j**2 + 180*j + 1115. Factor y(i).
-2*(i - 45)*(i + 2)
Let x(c) be the second derivative of 47*c - 5/8*c**4 + 0 - 3/2*c**2 + 3/40*c**5 + 17/12*c**3 + 1/60*c**6. Determine t so that x(t) = 0.
-6, 1
Factor 851*s**5 + 854*s**5 + 1805*s + 26*s**3 - 1700*s**5 - 450 - 2720*s**2 + 1804*s**3 - 470*s**4.
5*(s - 90)*(s - 1)**4
Suppose -38*u + u + 144 = 11*u. Find x, given that 6*x**5 + 15/8*x + 0 + 387/8*x**u - 69/4*x**2 - 39*x**4 = 0.
0, 1/4, 1, 5
Let q(c) be the second derivative of -c**4/42 - 1265*c**3/21 - 8779*c - 2. Suppose q(t) = 0. What is t?
-1265, 0
Let f(i) = 6*i - 35. Let g be f(5). Let k be 23/(1035/72) - 4/g. Find z such that -3/5*z**3 + 0*z + 9/5*z**4 + 0 + 0*z**2 + k*z**5 = 0.
-1, 0, 1/4
Let j = -244 + 252. Suppose 2*p + p = 4*b + 5, 2*p + 2*b = j. Determine u so that -4/9*u - 2/3*u**4 - 1/9*u**5 - 13/9*u**p - 4/3*u**2 + 0 = 0.
-2, -1, 0
Let t(o) be the first derivative of 26*o**5/15 - 32*o**4 + 274*o**3/9 + 14*o**2 - 1033. Suppose t(k) = 0. Calculate k.
-3/13, 0, 1, 14
Let n(s) = -2*s**3 + 390*s**2 + 18056*s - 18428. Let f(z) = -z**3 + 388*z**2 + 18054*z - 18429. Let j(c) = 8*f(c) - 6*n(c). Solve j(d) = 0 for d.
-96, 1
Let c = -1126 - -1127. Suppose -2*t = 4*h - 12, -2*t - c = 5*h - 14. Find v, given that 2/7*v**5 + 0 + 4/7*v**2 - 4/7*v**t - 2/7*v + 0*v**3 = 0.
-1, 0, 1
Let g(l) be the second derivative of 0*l**2 + 3/20*l**5 + 0*l**3 - 133*l + 0 + 1/50*l**6 + 1/5*l**4. Factor g(n).
3*n**2*(n + 1)*(n + 4)/5
Suppose -8*z + 34 = -342. Let a = z - 24. Suppose -13*i - 3 + a + 4 - 4*i**2 - 7*i = 0. What is i?
-6, 1
Let l = -754 + 742. Let z be ((-5)/8)/(2 + 34/l). Factor 1/4*b**4 - z*b**2 - 5/4*b + 1/4*b**3 - 1/2.
(b - 2)*(b + 1)**3/4
Suppose 5*h - 70 = 10. Factor -h*t**3 + 753*t**2 + 12*t + 16 - 4*t**4 - 765*t**2 + 4*t.
-4*(t - 1)*(t + 1)*(t + 2)**2
Let v(c) be the second derivative of 1/12*c**4 - 13*c + 4 + 0*c**2 + 2/3*c**3. Solve v(u) = 0.
-4, 0
Let l = 7360/87 + -110/87. Let h(q) be the third derivative of 1/12*q**5 + 0 + l*q**3 + 25/6*q**4 - 21*q**2 + 0*q. Let h(p) = 0. Calculate p.
-10
Let s be (-1 - (-1)/3)/(8/(-108)). Find h, given that 126 - 61 + 2*h**3 - 12*h**2 - 67 + 3*h**3 + s*h = 0.
2/5, 1
Let p(v) = 4*v + 44. Let q be p(-18). Let m = -10 - q. Factor -m*n**2 - 4*n**4 + 12*n**2 - 9*n**3 + n**4.
-3*n**2*(n + 1)*(n + 2)
Let g(n) be the second derivative of 0*n**2 + 0 + 5/3*n**4 + 33*n + 2/15*n**6 - 4/3*n**3 - 4/5*n**5. Find z such that g(z) = 0.
0, 1, 2
Let w be (715/165)/(-2 - (-75)/18). Factor 0 - 16/11*c - 14/11*c**3 + 2/11*c**4 + 28/11*c**w.
2*c*(c - 4)*(c - 2)*(c - 1)/11
Let o(x) be the second derivative of -x**5/20 + 4*x**4/3 - x**3/6 + 9*x**2 - 11*x. Let m be o(16). Solve 4*z**3 + z**2 + z**3 - 2*z**3 + m*z**2 = 0.
-1, 0
Let y(t) = 110*t**3 - 160*t**2 + 74*t - 10. Let b(a) = -53*a**3 + 80*a**2 - 37*a + 4. Let l(g) = -14*b(g) - 6*y(g). Find f, given that l(f) = 0.
-2/41, 1
Suppose 0 = -3*k - 91*p + 82*p - 18, -4*k - 3 = 5*p. Solve 2/5*d**2 - 4/5*d + 2/5*d**k + 0 = 0.
-2, 0, 1
Suppose 14 = 2*r - 2*t, t - 8 = -3*r + 1. Suppose 0 = -3*i - 5*w - 13, i + r*w + 8 = -2*i. Factor 0 + 3/5*j**2 + 3/5*j**3 - 3/5*j - 3/5*j**i.
-3*j*(j - 1)**2*(j + 1)/5
Suppose 392/3*i - 4*i**4 - 34/3*i**3 + 44*i**2 + 2/3*i**5 + 80 = 0. What is i?
-2, -1, 5, 6
Let r(p) be the second derivative of -400*p**2 + 0 - 1/6*p**4 - 41*p - 40/3*p**3. Factor r(i).
-2*(i + 20)**2
Factor -3/4*p**2 - 234 + 87/2*p.
-3*(p - 52)*(p - 6)/4
Let t = 35133 + -35118. Factor -225 - 1/4*g**2 + t*g.
-(g - 30)**2/4
Suppose 4*d = -2*q - 849 + 893, -2*q + d = 11. Solve -10*n**3 + 72/7*n - 24/7*n**4 - 2/7*n**5 + 24/7*n**2 + q = 0 for n.
-6, -1, 0, 1
Let r = -542 + 551. Factor -p**5 - 5*p**2 + 14*p**3 + 9*p**2 - p**4 + r*p**3 - 19*p**3.
-p**2*(p - 2)*(p + 1)*(p + 2)
Suppose -434*z + 245*z + 836 - 269 = 0. Factor -4/5*o**z + 24/5*o - 72/5 + 22/5*o**2 - 2/5*o**4.
-2*(o - 2)**2*(o + 3)**2/5
Suppose 19 = -3*a - 5*o, -o = -4*a + 3*o + 28. Find m such that -4741*m**5 + 0 - 30*m - 29*m**3 + 43*m**a + 8 + 9*m**4 + 4740*m**5 = 0.
1, 2, 4
Let r(f) = f**2 + 6*f - 23. Let l be r(-9). Find y, given that -16*y - 932*y**3 + 4*y**2 - y**l + 8*y**2 + 932*y**3 = 0.
-4, 0, 2
Let p(i) be the first derivative of -1/3*i**4 + i**3 - 15 + 5/2*i**2 + 0*i + 1/30*i**5. Let g(a) be the second derivative of p(a). Factor g(r).
2*(r - 3)*(r - 1)
Factor -68/19*c**3 + 2/19*c**4 + 0 + 0*c - 222/19*c**2.
2*c**2*(c - 37)*(c + 3)/19
Suppose -39 = -3*x + 27. Let k = 26 - x. Let 4/7*m**5 - 16/7*m**3 + 0*m + 0*m**2 + 0 + 0*m**k = 0. Calculate m.
-2, 0, 2
Suppose v = -5*w + 54, w - 4*v = -5*v + 14. What is k in -44*k**2 + 5*k**4 + w - 36*k + 15 - k**4 + 30 + 36*k**3 - 15 = 0?
-10, -1, 1
Suppose -z - 1136*k + 1131*k = -54, -3*k = -5*z - 10. Factor 0*y + 0 + 16/5*y**z + 4/5*y**5 - 48/5*y**3 + 0*y**2.
4*y**3*(y - 2)*(y + 6)/5
Let q(n) = 23*n + 185. Let i(a) = 34*a + 278. Let f(y) = 5*i(y) - 7*q(y). Let s be f(-10). Factor 56/3*h**2 + 10/3*h**s + 0 + 36*h**3 + 58/3*h**4 - 16/3*h.
2*h*(h + 2)**3*(5*h - 1)/3
Let c(y) be the first derivative of y**5/10 - 2*y**4/3 - 4*y**3 + 18*y - 103. Let a(b) be the first derivative of c(b). Solve a(d) = 0 for d.
-2, 0, 6
Let i be (-2406)/54 + (-1196)/(-46) - -19. Determine k, given that 4/9*k**4 - 44/9*k - 16/9 - i*k**3 - 4*k**2 = 0.
-1, 4
Let h(q) be the third derivative of 2*q**2 + 0 - 11*q - 1/8*q**3 - 1/80*q**5 - 1/16*q**4. Determine o, given that h(o) = 0.
-1
Let j(v) be the first derivative of -v