+ k*g**2 + 0 = 0?
-16, 0
Let y be (3/12)/(68/102). Solve -y*j + 1/4*j**3 + 3/8*j**2 - 1/4 = 0 for j.
-2, -1/2, 1
Suppose -n = -1571 - 453. Let u = -932 + n. Find d, given that 1092*d - u*d + 5*d**2 - 20 = 0.
-2, 2
Let g(j) be the second derivative of 152*j - 25/6*j**3 + 0 - 7/2*j**2 + 9/80*j**5 + 119/48*j**4. Factor g(r).
(r - 1)*(r + 14)*(9*r + 2)/4
Let f(o) be the first derivative of o**8/336 + o**7/14 + 11*o**6/72 + 25*o**3 - 18. Let z(w) be the third derivative of f(w). Let z(s) = 0. What is s?
-11, -1, 0
Let g(x) be the first derivative of -3*x**5/5 + 27*x**3 - 75*x**2 + 72*x + 2254. Suppose g(a) = 0. What is a?
-6, 1, 4
Let u(x) be the second derivative of -x**5/90 - 7*x**4/54 - 2*x**3/9 - 23*x - 71. Factor u(k).
-2*k*(k + 1)*(k + 6)/9
Let k(w) be the first derivative of w**5/6 + 15*w**4/4 + 5*w**3/2 - 270*w**2 + 1080*w + 127. Factor k(z).
5*(z - 3)**2*(z + 12)**2/6
Let h(f) be the third derivative of -3*f + 0*f**4 - 11/140*f**7 + 0*f**6 + 0*f**5 - 1/224*f**8 + 0*f**3 + 0 - 9*f**2. Factor h(p).
-3*p**4*(p + 11)/2
Let b(h) be the first derivative of 25*h**6/6 + 49*h**5 + 375*h**4/2 + 790*h**3/3 + 185*h**2/2 - 75*h - 10544. Find a such that b(a) = 0.
-5, -3, -1, 1/5
Let n(y) be the first derivative of -y**4/22 + 688*y**3/33 - 1539. Suppose n(q) = 0. Calculate q.
0, 344
Let v(c) be the first derivative of -c**5/20 + 3*c**4/2 + 13*c**3/6 - 255*c**2 - 7225*c/4 + 734. Solve v(j) = 0.
-5, 17
Let k = -3459/31040 - -7/64. Let h = 482/1455 - k. Solve -2/3*m - h*m**2 + 0 = 0.
-2, 0
Let w(d) be the third derivative of -d**5/90 + 83*d**4/36 - 7*d**2 - d + 453. Solve w(l) = 0 for l.
0, 83
Let v(l) be the first derivative of -97*l**4/14 + 28*l**3/3 - l**2/7 + 2155. Factor v(x).
-2*x*(x - 1)*(97*x - 1)/7
Determine h so that -1/3*h**2 + 36*h - 972 = 0.
54
Let w be (-32)/(6080/(-15))*(17/3 + 1). Determine u, given that -8/19*u + 2/19*u**2 - w = 0.
-1, 5
Let y(c) be the third derivative of -c**8/10080 + c**7/420 + 23*c**5/30 - c**2 - 30*c. Let m(a) be the third derivative of y(a). Factor m(p).
-2*p*(p - 6)
Let u(v) be the first derivative of -4/11*v**2 - 39*v - 4/33*v**3 + 1/110*v**5 + 28 + 1/66*v**4. Let g(m) be the first derivative of u(m). Solve g(d) = 0.
-2, -1, 2
Let r(b) be the second derivative of -5*b**4/12 + 3025*b**3/3 - 1830125*b**2/2 + 2216*b. Factor r(j).
-5*(j - 605)**2
Let c(y) = 58*y**3 - 58*y**2 + 260*y. Let r(w) = 36*w**3 - 39*w**2 + 173*w. Let i(h) = 5*c(h) - 8*r(h). Factor i(j).
2*j*(j - 3)*(j + 14)
Let t(z) = -7*z**2 + z - 4. Let j be (-1 + 2 - (3 + -5))*-47. Let m = -76 - j. Let l(n) = 75*n**2 - 10*n + 45. Let v(k) = m*t(k) + 6*l(k). Solve v(d) = 0.
-1, 2
Let q(m) be the first derivative of -53 - 1/28*m**4 - 4/21*m**3 + 0*m - 2/7*m**2. Factor q(d).
-d*(d + 2)**2/7
Suppose 3*t + 0*t = -15, 0 = 3*y - t + 124. Let k = y - -46. Let 4 - 3*g**4 + 4*g**k - 7*g**2 + 4*g**4 - 10*g**3 + 20*g**2 - 12*g = 0. Calculate g.
1, 2
Suppose 3*x - a = 2*a + 3, -2*x + 4 = -a. Suppose -3*v = -x, 3*n - 15 = -n + v. Factor n - 4 + 7 - 5*d**2 - 2.
-5*(d - 1)*(d + 1)
Let k(j) be the first derivative of -1/5*j**2 - 4/5*j + 2/5*j**3 - 20. Find d such that k(d) = 0.
-2/3, 1
Factor 251955*x**2 - 69 + 5*x**3 - 252030*x**2 - 16 - 165*x.
5*(x - 17)*(x + 1)**2
Let i(s) be the first derivative of s**3 - 519*s**2/2 - 1050*s - 4856. Solve i(l) = 0 for l.
-2, 175
Let n(o) = -o**3 - o**2 + 2*o. Suppose -5*p + 2 = -2*c - 5, 0 = 4*c - 4*p - 4. Let v(s) = -8*s**3 + 5*s**2 + 3*s. Let d(y) = c*n(y) - 4*v(y). Factor d(t).
4*t*(t - 1)*(7*t + 1)
Let u(o) be the second derivative of o**7/42 - o**6/72 - 2*o**5/3 + 5*o**4/6 - 11*o**3/3 - 54*o + 1. Let g(b) be the second derivative of u(b). Factor g(s).
5*(s - 2)*(s + 2)*(4*s - 1)
Suppose 0 = 2*i - w - 12, -3*i + 18 = 3*w - 5*w. Suppose 0 = -i*j + 3*j + 6. Determine v, given that 1 - v**4 + 10*v**2 - j*v + 2*v**3 - 10*v**2 = 0.
-1, 1
Let j = 2614 + -2610. Let l(x) be the first derivative of 16 - 1/2*x**6 + 3*x + 3/2*x**j - 2*x**3 - 3/2*x**2 + 3/5*x**5. What is o in l(o) = 0?
-1, 1
Let z(p) = -2*p**3 - 8*p**2 - 2. Let n be z(-4). Let i be 23/2 + (n - 14/(-4)). Factor 8*r**2 + i + 11 + 4*r**3 - 24.
4*r**2*(r + 2)
Let t(r) = -24*r**3 - 266*r**2 - 834*r + 200. Let g(j) = -95*j**3 - 1064*j**2 - 3337*j + 800. Let s(x) = 6*g(x) - 23*t(x). Factor s(d).
-2*(d + 5)*(d + 10)*(9*d - 2)
Let c(r) be the first derivative of -2*r**2 + 0*r - 32 - 4/3*r**3. Factor c(w).
-4*w*(w + 1)
Let d be 53 + (-2652)/((-988)/(-19)). Factor 2/5*u**d - 2*u - 72/5.
2*(u - 9)*(u + 4)/5
Let n(t) be the third derivative of -97*t**2 + 0*t + 2/7*t**3 - 1/210*t**5 - 1/840*t**6 + 11/168*t**4 + 0. Let n(b) = 0. What is b?
-4, -1, 3
Factor 80/3*d - 32 - 22/3*d**2 + 2/3*d**3.
2*(d - 4)**2*(d - 3)/3
Let m(f) be the first derivative of f**3 + 1491*f**2 + 2979*f - 7179. Factor m(h).
3*(h + 1)*(h + 993)
Let i(n) be the first derivative of -2*n**3/45 + 8*n/15 - 688. Factor i(a).
-2*(a - 2)*(a + 2)/15
Let v(y) be the third derivative of 0*y**5 + 0*y**3 + 0*y - 213*y**2 - 1/60*y**4 + 1/300*y**6 + 0. Factor v(h).
2*h*(h - 1)*(h + 1)/5
Let d = -386 - -386. Let j be (d + 3)/(2/(-4)*-4). Determine o, given that j*o**2 + 75/2 - 15*o = 0.
5
Let w be 19 + 243/(-9) + 10 + 6/2. Let f(s) be the second derivative of -9*s**2 + 0 + 27*s + 1/15*s**6 - 2*s**3 + 4/3*s**4 + 3/5*s**w. Solve f(m) = 0.
-3, -1, 1
Let f(y) = 25*y**2 - 25*y - 40. Let x = -46 + 46. Suppose -8*z - 32 - 48 = x. Let q(t) = -8*t**2 + 8*t + 13. Let h(d) = z*q(d) - 3*f(d). Factor h(b).
5*(b - 2)*(b + 1)
Let n = 24 + -21. Factor -40 + 14*f + 6*f - n*f**2 + 8*f**2 - 10*f.
5*(f - 2)*(f + 4)
Let q(n) be the second derivative of -n**4/54 - 17*n**3/27 + 286*n**2/3 - 69*n + 9. Factor q(w).
-2*(w - 22)*(w + 39)/9
Let n = -308394 - -308397. Find o such that 3/2*o**5 + 27 - 24*o**2 - 45/2*o + 9*o**n + 9*o**4 = 0.
-3, -2, 1
Suppose -2*m = 4*d - 100, -5*m = -4*d - 6*m + 98. Suppose -7*o - d = -9*o. Factor 7*v + 0*v**4 + 29*v - 19*v**2 - 3*v**4 + 18*v**3 - 20*v**2 - o.
-3*(v - 2)**2*(v - 1)**2
Let o be 1/(14/336) + -13. Let h(k) be the first derivative of 1/12*k**4 - 1/18*k**6 + 0*k**5 + 0*k + 0*k**3 + 0*k**2 + o. Find a, given that h(a) = 0.
-1, 0, 1
Let j(o) be the first derivative of -2*o**3/21 + 6*o**2/7 + 1550*o/7 + 6729. Let j(k) = 0. What is k?
-25, 31
Suppose -110*j - 9 = -113*j. Let o = 35519/2 - 17758. Factor o*u**2 + 0 + j*u - 3/2*u**4 - 3*u**3.
-3*u*(u - 1)*(u + 1)*(u + 2)/2
Factor -166463/5*z**2 + 0 - 1/5*z**4 - 817/5*z**3 + 167281/5*z.
-z*(z - 1)*(z + 409)**2/5
Suppose 3*o + 6 = 42. Let n be 10 - 4*(1 - (-3)/o). Solve 3/5*b**3 + 2/5*b**n - 1/10*b**2 + 0 + 0*b - 9/10*b**4 = 0.
0, 1/4, 1
Let z(q) be the first derivative of q**4/10 + 34*q**3/5 + 99*q**2/5 + 98*q/5 - 6148. Solve z(w) = 0.
-49, -1
Let k = -735252 + 4411513/6. Determine s so that -3/2 + k*s**2 - 4/3*s = 0.
-1, 9
Factor 6*u**2 + u + 12 - 2*u**2 - 8*u**2 - 8*u**2 - 12*u**3 + 11*u**3.
-(u - 1)*(u + 1)*(u + 12)
Let y be ((-2)/(-12))/((-4)/(-16))*3. Determine i so that -12*i**5 - 1680*i**4 + 1648*i**4 - 11*i**3 - i**3 + 13*i**y - 5*i**2 = 0.
-2, -1, 0, 1/3
Factor 2/5*q**2 + 284 - 1422/5*q.
2*(q - 710)*(q - 1)/5
Let -12984/5*c**2 - 4928/5*c - 484/5 - 448*c**3 - 20*c**4 = 0. Calculate c.
-11, -1/5
Let l(p) = 16*p**2 - 24646*p + 37970244. Let w(m) = -150*m**2 + 221813*m - 341732196. Let o(i) = 19*l(i) + 2*w(i). Factor o(v).
4*(v - 3081)**2
Let -2166*h - 255776 - 135187 + 205420*h**2 - 205423*h**2 = 0. Calculate h.
-361
Determine z, given that -259736*z + 20302168 - 100264*z - 3*z**3 + 1251*z**2 + 549*z**2 + 685164 + 3012668 = 0.
200
Let c(t) be the third derivative of -t**6/24 - t**5/6 + 1169*t**2. Factor c(j).
-5*j**2*(j + 2)
Suppose -2*n - 11 = -3*f - 5, -9 = -2*f + 3*n. Let b(u) be the second derivative of 0 + 0*u**2 + f*u**3 + 1/18*u**4 - 11*u. Factor b(v).
2*v**2/3
Let x(z) be the first derivative of 0*z**4 + 0*z**2 - 34 + z + 1/5*z**5 - 2/3*z**3. Factor x(k).
(k - 1)**2*(k + 1)**2
Suppose 2*b + 5*k - 24 = 0, 13 = b + 3*k - 1. What is a in b*a**2 - 5*a + 4*a - 18 + 5*a + 12 = 0?
-3, 1
Let i be 6/2 + -5*(-4)/(-8). Suppose -30*d = 4*d - 22 - 148. Find p such that p**2 + 7/2*p**4 - 9/2 - 15/2*p + 7*p**3 + i*p**d = 0.
-3, -1, 1
Let t = -1726 + 77584/45. Let f = -1/9 - t. Factor -3*c**3 - 9/5*c**2 + f + 3*c.
-3*(c - 1)*(c + 1)*(5*c + 3)/5
Let z(g) be the third derivative 