(1 + 1)/1). Let a(q) be the second derivative of 0*q**3 - 1/28*q**o - 6*q + 0*q**2 + 0 + 3/140*q**5. Let a(w) = 0. What is w?
0, 1
Factor -2/9*f**2 + 0 + 5/3*f - 1/9*f**3.
-f*(f - 3)*(f + 5)/9
Let f(j) be the third derivative of -2/15*j**3 - 1/75*j**5 + 0*j - 11*j**2 + 0 - 1/15*j**4. Suppose f(r) = 0. Calculate r.
-1
Determine f, given that -2*f**3 + 36*f**2 + 3*f**3 - 5*f - 77*f**2 + 37*f**2 = 0.
-1, 0, 5
Suppose -1/3 + 178/3*k**3 - 32*k**2 + 14*k**5 + 20/3*k - 143/3*k**4 = 0. What is k?
1/14, 1/3, 1
Suppose 5*c - 9 + 24 = 0. Let y be ((-10)/3)/2*c. Determine v so that -v**4 - v**y + 27*v**3 - 27*v**3 = 0.
-1, 0
Let x = 221 - 191. Suppose 0 = -9*b + x - 3. Factor 12/5*t**4 + 12*t + 12*t**b + 12/5 + 99/5*t**2.
3*(t + 2)**2*(2*t + 1)**2/5
Determine i so that 1477*i - 153*i**2 - 106*i**2 + 3*i**3 + 1361 - 5693 + 28*i**2 + 3083*i = 0.
1, 38
Suppose 4817*s**4 + 4818*s**4 + 13*s**2 + 9*s**2 - 32 + 9*s**3 - 9634*s**4 = 0. Calculate s.
-4, -2, 1
Let r be 228/54 + (-4)/18. Suppose 18 - 10 = r*q. Let -7*o**3 + 15*o - 6 + 6*o**2 + 0*o**q - 8*o**3 = 0. Calculate o.
-1, 2/5, 1
Let z(o) be the first derivative of o**7/6720 - 7*o**3 - 11. Let n(j) be the third derivative of z(j). Let n(c) = 0. What is c?
0
Let n(r) = -4*r**3. Let k(f) = -27*f**3 - 11*f**2 + 40*f - 48. Let g(j) = -4*k(j) + 28*n(j). Find b such that g(b) = 0.
3, 4
Let x = -420 - -426. Let w(y) be the first derivative of -1/20*y**4 + 4/25*y**5 + 2 - 1/30*y**x + 2/5*y**2 + 8/5*y - 2/3*y**3. Factor w(v).
-(v - 2)**3*(v + 1)**2/5
Let w(r) be the first derivative of -r**4/10 + 2*r**3/3 + 22*r**2/5 + 32*r/5 - 592. Factor w(a).
-2*(a - 8)*(a + 1)*(a + 2)/5
Suppose 5*j - 28*g - 33 = -25*g, -j - 3*g - 15 = 0. Suppose -1/6 + 0*a**2 + 1/6*a**4 + 1/3*a**j - 1/3*a = 0. Calculate a.
-1, 1
Let v(k) = k + 5. Let z be v(-2). Let r be z + (-13)/4 + (-2)/(-4). Determine t so that -r*t**4 - 9/4*t**2 - 7/4*t - 1/2 - 5/4*t**3 = 0.
-2, -1
Suppose 5 = -4*b + 17. Let o be ((-12)/210)/((-5)/1325). Suppose -16/7 + 8/7*j + 68/7*j**2 + 8*j**4 - o*j**b - 10/7*j**5 = 0. Calculate j.
-2/5, 1, 2
Factor -3*u**2 + 368*u**3 - 181*u**3 - 52*u**2 - 185*u**3 - 28*u.
u*(u - 28)*(2*u + 1)
Let b = 55 - 25. Factor -90 + 118 + 5*w**3 + 132 - b*w**2.
5*(w - 4)**2*(w + 2)
Suppose -30*d = -25*d - 120. Let h be (2 - 38/d) + 1/4. Solve h*o + 0 - 2/3*o**2 = 0 for o.
0, 1
Let d(t) = -84*t**2 - 140*t - 56. Let f(n) = 19*n + 8*n - 11*n + 11 + 17*n**2 + 12*n. Let y(v) = -3*d(v) - 16*f(v). Suppose y(a) = 0. Calculate a.
-1, -2/5
Let l = 27130 - 135648/5. Suppose l*r**3 + 8/5 + 16/5*r + 2*r**2 = 0. Calculate r.
-2, -1
Let p be (96/(-14))/(-3) + 116/(-406). Let w = -41/14 - -7/2. Determine x so that -6/7*x**p + 0 + 6/7*x**4 + w*x**3 - 4/7*x = 0.
-1, -2/3, 0, 1
Find z such that -3/7*z + 36/7 - 3/7*z**2 = 0.
-4, 3
Let q be 2 + -1 + (-2 - 86/(-2)). Let d = q - 40. Let -6/7*k - 4/7 + 2/7*k**4 + 2/7*k**d + 6/7*k**3 = 0. Calculate k.
-2, -1, 1
Let i(h) be the second derivative of h**6/10 + 27*h**5/10 - 83*h**4/4 + 54*h**3 - 66*h**2 + 511*h. Let i(x) = 0. Calculate x.
-22, 1, 2
Factor -12*n**2 - 3/2*n**3 + 177/2*n - 117.
-3*(n - 3)*(n - 2)*(n + 13)/2
Let n(k) be the second derivative of k**7/105 - 46*k**6/75 - k**5/25 + 46*k**4/15 + k**3/15 - 46*k**2/5 - k - 148. Determine x, given that n(x) = 0.
-1, 1, 46
Let n(i) be the third derivative of -3*i**7/35 + i**6/8 + 3*i**5/10 - 3*i**4/8 - i**3 + 176*i**2. Find f, given that n(f) = 0.
-2/3, -1/2, 1
Let v(d) = -2*d**2 + 76*d + 1458. Let k(u) = -5*u**2 + 144*u + 2916. Let c(b) = -4*k(b) + 9*v(b). Let c(g) = 0. What is g?
-27
Suppose 5*g = 0, -21 = -a - 5*g - 18. Let m(x) be the third derivative of 0*x**3 + 1/540*x**6 + 0*x - a*x**2 + 0 + 1/270*x**5 + 0*x**4. Factor m(n).
2*n**2*(n + 1)/9
Factor -16/7*k**3 + 0*k**4 + 12/7*k - 8/7*k**2 + 8/7 + 4/7*k**5.
4*(k - 2)*(k - 1)*(k + 1)**3/7
Let o = -104 - -107. Let n(b) be the third derivative of 0*b**4 - 1/30*b**5 + 1/60*b**6 + 0*b**o - b**2 + 0 + 0*b. Factor n(s).
2*s**2*(s - 1)
Let v(f) = -f**2 + f - 3. Let m(o) = -21 + 14 + 0*o + o - 2*o**2. Let l(c) = -6*m(c) + 14*v(c). Factor l(h).
-2*h*(h - 4)
Suppose 12*w = 190*w + 232*w - 3280. What is t in -16*t**3 + 40/3*t**2 + w*t**4 + 0 - 4/3*t**5 - 4*t = 0?
0, 1, 3
Let k = -711 - -713. Let w be 2*(-7)/(-4) + -1. Determine u, given that -1/2 - w*u**4 + 5/2*u + 5*u**3 - 5*u**k + 1/2*u**5 = 0.
1
Factor -5*v**3 - 59 + 3*v**3 - 256*v - 52*v**2 - 213 + 6*v**3.
4*(v - 17)*(v + 2)**2
Let n be (-13286)/(-584) - (3/6 + -1). Let -39/4*s**3 - n*s + 99/4*s**2 + 15/2 + 3/4*s**4 = 0. What is s?
1, 10
Let o(a) = -a**3 + a - 1. Let u(k) be the third derivative of -5*k**5/12 + 5*k**4/3 - 10*k**3/3 - 2*k**2. Let t(g) = 5*o(g) - u(g). What is n in t(n) = 0?
1, 3
Let u = -20 + 24. Suppose -10*n**2 - n**u - 4*n**4 + 15*n**2 = 0. What is n?
-1, 0, 1
What is j in 2*j**2 + 8/3 + 4*j + 1/3*j**3 = 0?
-2
Let c(a) be the second derivative of 15*a**5/4 + 55*a**4/2 + 78*a**3 + 108*a**2 - 3*a - 1. Factor c(l).
3*(l + 2)*(5*l + 6)**2
Suppose -3*u - 2*u = -5*b + 10, -u - 4*b = -18. Suppose -2*l**4 + 4*l**u - 23*l**3 + l - 2*l**2 + 22*l**3 = 0. Calculate l.
-1, -1/2, 0, 1
Let f(s) = 26*s**3 + 49*s**2 + 16*s - 19. Let z(t) = 76*t**3 + 148*t**2 + 48*t - 56. Let j(y) = 8*f(y) - 3*z(y). Factor j(k).
-4*(k + 1)*(k + 2)*(5*k - 2)
Let s(x) be the second derivative of 3*x**2 + 1/18*x**3 - 7/144*x**4 + 0 + 1/90*x**5 + 1/180*x**6 + 10*x. Let f(m) be the first derivative of s(m). Factor f(z).
(z + 2)*(2*z - 1)**2/6
Let q(a) = -a**2 - 10*a - 13. Let x be q(-12). Let f = -35 - x. Factor 8*h**3 - 5*h**2 - 10*h**4 + 3*h**f + 8*h**4 - 6*h**2.
-2*h**2*(h - 2)**2
Let r(l) = 10*l**2 + 264*l - 2896. Let g(z) = -4*z**2 - 88*z + 965. Let f(n) = 8*g(n) + 3*r(n). Factor f(k).
-2*(k - 22)**2
Suppose 10*d = 8*d - 2. Let s be -15*(-2)/18 + d. Find p such that 1/3*p**5 + 2/3*p**3 - p**4 + s*p**2 - p + 1/3 = 0.
-1, 1
Suppose 10*c + 23 + 53 = 48*c. Factor 2/15*y**3 - 2/5*y**c + 2/5*y - 2/15.
2*(y - 1)**3/15
Let z(u) be the third derivative of u**7/15 - 2*u**6/3 + 17*u**5/10 - 5*u**4/6 - 8*u**3/3 + 53*u**2. Factor z(p).
2*(p - 4)*(p - 1)**2*(7*p + 2)
Let n(g) = 53*g + 5196. Let u be n(-98). What is a in 5/3*a**4 + 20/3*a**3 + 10/3*a + 25/3*a**u + 0 = 0?
-2, -1, 0
Let f(p) be the third derivative of -p**8/84 - p**7/21 + 2*p**6/5 - 7*p**5/30 - 5*p**4/6 - 131*p**2. Solve f(i) = 0.
-5, -1/2, 0, 1, 2
Let i = 25 - 21. Let g(p) be the first derivative of 0*p + 0*p**3 - 4 - 3/2*p**2 + 3/4*p**i. Factor g(x).
3*x*(x - 1)*(x + 1)
Let h be ((-15)/(-18))/(4/((-1468)/7)). Let b = h + 269/6. Suppose -b*x**2 - 2/7*x**3 - 6/7*x + 0 = 0. Calculate x.
-3, -1, 0
Let p(y) be the third derivative of 11*y**2 + 1/5*y**5 + 0 + 0*y - 2*y**4 + 1/2*y**3 - 1/120*y**6. Let l(v) be the first derivative of p(v). Factor l(f).
-3*(f - 4)**2
Let l(z) be the third derivative of z**5/60 - z**4/4 + 4*z**3/3 + 27*z**2 + 2*z. Factor l(d).
(d - 4)*(d - 2)
Suppose 4*w - 10 = 5*j, 40*w - 39*w = -4*j - 8. Determine x, given that -4/5*x**3 + w - 3/5*x**2 + 1/5*x = 0.
-1, 0, 1/4
Let w(p) = -5*p - 2. Let o be w(-1). Let y be 2/(-4) + -1 + 2. What is f in 0 - 1/2*f**2 + 1/2*f**o + y*f**4 - 1/2*f**5 + 0*f = 0?
-1, 0, 1
Let u be -3 + 8/(-12)*42/(-4). Find t such that -3*t - 45*t - 146 - u*t**2 - 8*t - 50 = 0.
-7
Let g = 121/25 - 2456/25. Let x = g - -94. Solve x + 4/5*c + 1/5*c**2 = 0 for c.
-3, -1
Let x(u) be the second derivative of 33*u**5/20 - 21*u**4/2 + 25*u**3/2 + 9*u**2 - 38*u - 1. Find o such that x(o) = 0.
-2/11, 1, 3
Factor 22*n**2 - 13*n**2 - 8*n**2 - 5*n**2 + n**2 - 33*n.
-3*n*(n + 11)
Let i be 286/10 + (-713)/31. Let -2/15 - i*k - 294/5*k**2 = 0. Calculate k.
-1/21
Find v such that 4/9*v**2 + 2/3*v**4 - 2/9*v**5 + 20/9*v**3 - 2*v - 10/9 = 0.
-1, 1, 5
Let s = -12/3443 - -6946/17215. What is h in 2/5*h**2 + 4/5*h + s = 0?
-1
Suppose 0 = -3*s - 3*x - 3, 5*s + 0*x - 16 = 2*x. Solve 4*z**3 - 295*z**2 + 2*z**5 + 295*z**s + 6*z**4 = 0.
-2, -1, 0
Factor 0 + 0*d - 1/2*d**2.
-d**2/2
Let k(n) be the third derivative of -3*n**8/448 + n**7/140 + 17*n**2. Find j such that k(j) = 0.
0, 2/3
Let r(g) be the first derivative of -3*g**4/16 - 6*g**3 + 75*g**2/8 - 198. Find h, given that r(h) = 0.
-25, 0, 1
Let s(v) be the first derivative of 2*v**6/3 - 4*v**5 - v**4 + 20*v**3/3 - 69. Find r, given that s(r) = 0.
-1, 0, 1, 5
Let w(b) = b*