g) = n(g) - 6*v(g). Let t(b) = 0. What is b?
-1, 1, 48
Let a be (-132030)/(-3423) - (-1 + 35). Suppose 8/7*q**4 + 20/7*q**3 + a - 16/7*q - 40/7*q**2 - 4/7*q**5 = 0. Calculate q.
-2, -1, 1, 2
Let z(s) be the second derivative of 4*s**2 - 1/10*s**5 + 5/6*s**4 - 67*s + 0 - 8/3*s**3. Factor z(p).
-2*(p - 2)**2*(p - 1)
Suppose -2*z - 4*w = -38, 28*z - w = 30*z - 26. Factor 28*m**5 - z - m**4 + 11 - 27*m**5.
m**4*(m - 1)
Let m(s) be the first derivative of 2*s**5/35 + 377*s**4/14 + 752*s**3/21 - 5193. Factor m(f).
2*f**2*(f + 1)*(f + 376)/7
Suppose 12*a - 38*a + 67418 = 0. Let w = a + -7699/3. Factor -w*h**2 + 0 - 32/3*h - 2*h**4 + 46/3*h**3.
-2*h*(h - 4)**2*(3*h + 1)/3
Suppose -237*u + 228*u = 0. Suppose -4*t + 2 = -3*b, 5*b - 9 - 5 = -2*t. Factor -3*x**2 - 6 + u + x + 4*x**t.
(x - 2)*(x + 3)
Let m be 10/4*80288/65. Suppose -m*u = -3098*u + 20. Factor -2/17*n**u - 392/17 + 56/17*n.
-2*(n - 14)**2/17
Let u(i) be the second derivative of i**4/8 + 23*i**3/4 + 195*i**2/2 + i + 402. Factor u(n).
3*(n + 10)*(n + 13)/2
Suppose 3*u - 9 = -14*d, -109 = 5*u - 2*d - 124. Factor 9*v**u - 215/4*v - 25 - 21*v**2.
(v - 4)*(6*v + 5)**2/4
Let p(r) be the second derivative of -11/18*r**3 - 1/36*r**4 + 0*r**2 - 40 + 2*r. What is i in p(i) = 0?
-11, 0
Let k = 495/7 + -9879/140. Let w(o) be the first derivative of 0*o - 1/4*o**3 + 0*o**4 + k*o**5 + 6 + 0*o**2. Let w(i) = 0. What is i?
-1, 0, 1
Let k(z) be the first derivative of 7*z**6/3 - 74*z**5/5 + 33*z**4 - 88*z**3/3 + 8*z**2 + 781. What is y in k(y) = 0?
0, 2/7, 1, 2
Let w(k) be the first derivative of -4*k**6/15 + 6*k**5/5 + 4*k**4/5 - 2*k**3 - 4*k**2/5 + 803. Solve w(v) = 0 for v.
-1, -1/4, 0, 1, 4
Suppose -13*b + 253 + 46 = 0. Suppose -z - a + b = a, 0 = z + 5*a - 20. Factor z + 2*x - 2*x**2 - 25 - 10*x**3 - 6*x**4.
-2*x*(x + 1)**2*(3*x - 1)
Let g(t) be the third derivative of 0 + 0*t**3 + 0*t - 60*t**2 + 1/50*t**6 - 2/525*t**7 + 0*t**4 - 2/75*t**5. Factor g(h).
-4*h**2*(h - 2)*(h - 1)/5
Factor 56*p - 11*p**2 - 40 - 17*p**2 + p**3 - 12 + 11*p**2.
(p - 13)*(p - 2)**2
Let l(h) be the first derivative of h**4/6 + h**3 + 29*h - 109. Let i(o) be the first derivative of l(o). Let i(g) = 0. Calculate g.
-3, 0
Factor -7*n**3 - 4203*n + 278*n**2 + 10*n**3 + 409*n**2 + 6345.
3*(n - 3)**2*(n + 235)
Let r(x) be the first derivative of -8/21*x**6 + 32/3*x**3 - 4/7*x**5 + 17 + 31/7*x**4 + 0*x + 24/7*x**2. Suppose r(l) = 0. What is l?
-2, -1/4, 0, 3
Let g(d) = 3*d + 159. Let l be g(-45). Solve -l*w**2 + 13*w**3 - 4*w**4 + 6*w**2 - w**3 + 18*w**2 = 0.
0, 3
Suppose 2*s - 5*v - 7 = -8*v, 0 = 2*s - 4*v. Let -248 - 279 + 587 - 108*w + 29*w**s - 3*w**4 + 22*w**2 = 0. What is w?
-5, 1, 2
Let s be 38218/(-2758) + 1/(3/42). Suppose 5*w - 10 = -0*f - 3*f, w + 3*f - 2 = 0. Factor 0 + 0*p + s*p**w + 1/7*p**3.
p**2*(p + 1)/7
Suppose 2 = -4*h - k + 201, -3*h + 168 = -3*k. Let 5*f - 5*f**3 - 42*f**4 + 5 - 15*f**2 - h*f**4 + 98*f**4 + 5 = 0. Calculate f.
-1, 1, 2
Let s = 866 + -349. Let o = 521 - s. Factor 6/5 + 2/5*z**o - 4/5*z**3 + 4/5*z - 8/5*z**2.
2*(z - 3)*(z - 1)*(z + 1)**2/5
Suppose 3*c = k + 6, 3*k + 2*c = -18 + 33. Let l(v) be the first derivative of 5/11*v**2 - 2/33*v**k + 15 - 12/11*v. Factor l(t).
-2*(t - 3)*(t - 2)/11
Let w be 57/18 - 13/78. Let z(y) be the third derivative of 1/8*y**4 - 1/10*y**5 + 0 + 0*y**w + 1/40*y**6 + 0*y + 15*y**2. Suppose z(j) = 0. What is j?
0, 1
Let z(p) be the second derivative of -1536*p**2 + 1 - 1/10*p**6 - 60*p**4 - 448*p**3 - 39/10*p**5 - 13*p. Suppose z(y) = 0. What is y?
-8, -2
Factor 0*v - 5382 + 5376 + 7*v**2 - v**4 + 5*v**3 - 5*v.
-(v - 6)*(v - 1)*(v + 1)**2
Let k(t) = -t**2 - 21*t - 102. Let j be k(-8). Find c such that -18*c**2 + c**4 - 17 + 6*c - 31 + 3*c**4 - 8*c**3 + 74*c - 10*c**j = 0.
-3, 1, 2
Suppose 22*a - 60 = -16. Factor -k**2 + 3*k**a - 7*k**2 - 512*k + 82*k - 9245.
-5*(k + 43)**2
Let x(u) = u**3 - 7*u**2 - u + 11. Let n be x(7). Suppose -2*o + n = 0, 3*w + 3*o = -2*o + 28. Factor 2*c - w - 22*c**2 + 21*c**2 + 3*c.
-(c - 3)*(c - 2)
Let a(o) be the second derivative of o**6/4 - 201*o**5/40 - 51*o**4/2 - 17*o**3 + 48*o**2 - 138*o + 1. Determine b, given that a(b) = 0.
-2, -1, 2/5, 16
Suppose 3*c - 4*w - 69 = 0, 17 = 2*c - 5*w - 22. Let v be ((-20)/25 - -2)*20/c. Solve -2/3*o**2 - 2/9*o**3 + v + 0*o = 0.
-2, 1
Let l = -51 - -56. Let h be 2*(1050/4)/l. Factor -h*w**5 - 2*w + 2*w + 12*w**3 - 79*w**4 + 67*w**4.
-3*w**3*(5*w + 2)*(7*w - 2)
Suppose -4*q + 284 = -2*o - 52, -180 = -2*q + 4*o. What is i in -204*i**4 + 615*i + 988*i**4 - 62 + 742*i - q - 13*i - 3100*i**2 - 336*i**3 = 0?
-2, 3/14, 2
Let v(d) = 5*d**4 - 60*d**3 + 324*d**2 - 632*d + 414. Let x(i) = 7*i**4 - 61*i**3 + 324*i**2 - 632*i + 413. Let t(r) = -3*v(r) + 2*x(r). Factor t(j).
-(j - 52)*(j - 2)**3
Factor 1120/13 + 2/13*w**2 - 12*w.
2*(w - 70)*(w - 8)/13
Suppose 554*u - 22 = -22. Factor 2/3*d**3 + 0 + u*d + 16/3*d**2.
2*d**2*(d + 8)/3
Let 45*o - 335*o**2 + 2*o**3 - 67*o**2 - 682*o + 224*o**2 - 1147*o + 1960 = 0. What is o?
-10, 1, 98
Let i be (-20)/(3 + 1 + -8). Let r be 15/(i - 2) - 584/120. Factor 0 - 4/15*h - r*h**2.
-2*h*(h + 2)/15
Let o(s) = 7*s**2 - 20*s - 40. Let t(i) = 19*i**2 - 61*i - 121. Suppose -3*w + 25 = -4*q, -41*w + 2 = q - 39*w. Let g(c) = q*t(c) + 11*o(c). Factor g(x).
(x + 2)*(x + 22)
Suppose 12*y + 25*y = 10*y + 405. Factor -21/2*b + 3/2*b**2 + y.
3*(b - 5)*(b - 2)/2
Let p(z) be the third derivative of -z**5/210 - 31*z**4/7 - 54*z**2 - 54*z + 1. Suppose p(y) = 0. Calculate y.
-372, 0
Let q(b) be the first derivative of -b**6/6 + 39*b**5/5 + 3*b**4/4 - 115*b**3/3 - 39*b**2 + 1982. Factor q(t).
-t*(t - 39)*(t - 2)*(t + 1)**2
Let x(c) = -c**4 - 8*c**3 + 565*c**2 + 2399*c - 2945. Let r(l) = 3*l**3 - 282*l**2 - 1200*l + 1473. Let w(p) = -5*r(p) - 3*x(p). Factor w(t).
3*(t - 10)*(t - 1)*(t + 7)**2
Let z be (-32625)/825*(-2)/14. Let m = z + -37/7. Factor 2/11*b - 2/11 + 2/11*b**5 - 2/11*b**4 + 4/11*b**2 - m*b**3.
2*(b - 1)**3*(b + 1)**2/11
Let -25/2*o**2 - 61/4*o - 5/4*o**4 + 31/2*o**3 - 1/4*o**5 + 55/4 = 0. What is o?
-11, -1, 1, 5
Let r(x) be the third derivative of 8/3*x**3 + 0*x - 226*x**2 + 0 + 1/30*x**6 + 19/12*x**4 + 9/20*x**5 - 1/210*x**7. Factor r(n).
-(n - 8)*(n + 1)**2*(n + 2)
Let h(t) be the second derivative of -1 + 9/10*t**5 - 1/10*t**6 + 4*t**3 + 0*t**2 - t - 3*t**4. Find o, given that h(o) = 0.
0, 2
Let j be (16 - -1 - -1)/(57176/24504). Factor 6/7*a**5 + 0*a - j*a**4 + 0*a**2 - 60/7*a**3 + 0.
6*a**3*(a - 10)*(a + 1)/7
Let p(u) be the third derivative of 0 + 0*u - 1/30*u**6 - 3/10*u**5 + 0*u**3 - 124*u**2 + 3/2*u**4 + 1/105*u**7. Solve p(s) = 0 for s.
-3, 0, 2, 3
Let i(m) be the second derivative of -87/50*m**5 + 36/5*m**3 + 1/10*m**6 + 0 + 94*m + 39/5*m**4 + 0*m**2. Factor i(v).
3*v*(v - 6)**2*(5*v + 2)/5
Let s(x) be the first derivative of x**7/280 + x**6/20 - 9*x**5/40 - 7*x**4/4 + 32*x**3 - 136. Let v(k) be the third derivative of s(k). Factor v(w).
3*(w - 2)*(w + 1)*(w + 7)
Let m = -10115 - -10147. Let g(o) be the second derivative of 1/84*o**4 - 5/7*o**2 + m*o + 0 - 1/14*o**3. Factor g(j).
(j - 5)*(j + 2)/7
Let i be 2 + -3 + 3 + 1. Let w(f) = -4*f**3 + 657*f**2 + 494*f + 167. Let o be w(165). Solve 2/3*t**5 - 2*t**4 + 0*t + 0 + 8/3*t**o + 0*t**i = 0 for t.
-1, 0, 2
Let g(u) be the first derivative of u**3/4 + 639*u**2/8 + 945*u/2 - 5154. Let g(t) = 0. Calculate t.
-210, -3
Let w(p) = -4*p**3 - 25*p**2 + 82*p - 28. Let f(a) = a**3 - 7*a + 1. Let b(j) = 5*f(j) + w(j). Factor b(l).
(l - 23)*(l - 1)**2
Let c(z) be the first derivative of 181/8*z**4 - 85 - 7/12*z**6 - 34/5*z**5 + 0*z + 6*z**2 - 65/3*z**3. Find t such that c(t) = 0.
-12, 0, 2/7, 1
Let z(y) be the second derivative of 3*y + 0*y**2 + 0*y**3 - 11/195*y**6 + 0 + 1/39*y**4 + 9/130*y**5. Determine g so that z(g) = 0.
-2/11, 0, 1
Let s(r) be the first derivative of r**3 - 1/32*r**4 + 8 + 51/16*r**2 + 13/4*r. Factor s(l).
-(l - 26)*(l + 1)**2/8
Let k be ((-10 - -30) + -2)*(-6)/(-3). Let d(x) be the first derivative of -6*x**2 - 1/3*x**3 - k*x + 28. Factor d(a).
-(a + 6)**2
Find c such that -129 - 2222 - 3*c**2 - 2352*c - 2285 - 56 = 0.
-782, -2
Factor 138853062/19 + 2466/19*q**2 + 1013526/19*q + 2/19*q**3.
2*(q + 411)**3/19
Let u(d) be the second derivative of 0*d**2 + 2*d + 4/231*d**7 - 14/55*d**5 + 3/22*d**4 + 3 - 1/5*d**6 + 0*d**