*q**4 + 0 + h*q = 0. Calculate q.
-1, 0, 1, 13
Let p(i) be the second derivative of -i**6/90 - 7*i**5/10 + i**4/12 + 62*i**3/9 - 14*i**2 + 1162*i + 3. Factor p(m).
-(m - 1)**2*(m + 2)*(m + 42)/3
Let b = 435579 - 435576. Suppose -2/5*r**b - 8/5 + 14/5*r - 4/5*r**2 = 0. What is r?
-4, 1
Let j = -865 - -1195. Let d = j + -330. Factor -4/5*p**2 + 4/5*p**3 + d*p + 0.
4*p**2*(p - 1)/5
Let b = -477367 + 5722511/12. Let q = -491 - b. Find w such that -12005/12*w - 16807/12 - 245/6*w**3 - 35/12*w**4 - 1715/6*w**2 - q*w**5 = 0.
-7
Factor -113/4*v + 1/3*v**3 - 17/3 - 89/4*v**2.
(v - 68)*(v + 1)*(4*v + 1)/12
Factor 1/4*c**4 - 125 - 225/4*c + 9/4*c**3 - 5/4*c**2.
(c - 5)*(c + 4)*(c + 5)**2/4
Let j = 6 + -4. Suppose 0 = 4*r + 3*z - 41, 4*r + 31 = 7*r + 2*z. Suppose -r*g**2 - 14 - 18*g - 1 + 8*g**j = 0. What is g?
-5, -1
Suppose 23*h + 2*t - 5414 = 26*h, 3*t = -6. Let c be (-5)/25 - (h/(-45))/(-14). Let 1/3*v**3 + 5/3*v**2 + 4/3 + c*v = 0. Calculate v.
-2, -1
Let d(q) be the second derivative of q**7/42 - 82*q**6/15 + 6557*q**5/20 + 6889*q**4/6 + 735*q - 4. Factor d(n).
n**2*(n - 83)**2*(n + 2)
Let c(m) = m**2 + 3. Suppose 2*y + 0*t + t + 3 = 0, 4*y - 3*t = 19. Let k(a) = -5*a**2 + 43*a - 18. Let o(v) = y*k(v) + 6*c(v). Determine i so that o(i) = 0.
-43, 0
Factor 1/3*s**4 + s**3 - 5*s**2 - 2 + 17/3*s.
(s - 1)**3*(s + 6)/3
Let l(v) be the second derivative of -53 - 1/49*v**7 - 9/7*v**4 + 9/70*v**5 + v + 4/35*v**6 + 0*v**3 + 0*v**2. Suppose l(i) = 0. What is i?
-2, 0, 3
Let r(s) be the second derivative of s**10/181440 + s**9/5670 + 163*s**4/12 + 21*s. Let x(v) be the third derivative of r(v). Factor x(d).
d**4*(d + 16)/6
Solve -24/17*v - 2/17*v**4 + 6/17*v**3 + 4/17*v**2 + 16/17 = 0.
-2, 1, 2
Let m = -2912397 + 37831762/13. Let n = -2261 - m. Let -4/13*o**4 + 0*o**2 - 2/13*o + n*o**3 + 0 = 0. What is o?
-1/2, 0, 1
Find j such that -1062/13*j**3 + 2754/13*j**4 - 96*j - 72/13 - 5570/13*j**2 - 578/13*j**5 = 0.
-1, -2/17, 3
What is k in -15*k**2 + 275*k**3 + 15*k**4 + 61*k - 4*k**5 - k**5 - 83*k - 148*k - 100*k = 0?
-6, -1, 0, 1, 9
Let n = 1188 + -1193. Let t = n - -7. Suppose -58/3*p**3 - 32/3*p**4 + 0 - 8/3*p - 40/3*p**2 - t*p**5 = 0. Calculate p.
-2, -1, -1/3, 0
Suppose -1680 = -165*r - 880*r + 410. Factor 1215 + 5/3*v**r - 90*v.
5*(v - 27)**2/3
Let c(r) = r**2 - 14*r - 23. Let a be c(16). Factor 18*v + 4*v - 4*v**2 + 3*v + a*v**2.
5*v*(v + 5)
Suppose 0*o**2 + 42*o**3 - 18*o - 27*o**2 - 46*o**2 + 148*o**2 = 0. What is o?
-2, 0, 3/14
Let n be (-637)/(-26) + 35/5. Let j = -309/10 + n. What is l in 24/5*l - 48/5 - j*l**2 = 0?
4
Factor 130*j + 1027*j**2 - 99*j - 567*j**2 - 4*j**4 - 144*j**3 - 343*j.
-4*j*(j - 2)*(j - 1)*(j + 39)
Factor -209*k**2 - 14 + 121*k**2 + 86*k**2 + 8 - 10*k + 2*k**3.
2*(k - 3)*(k + 1)**2
Let h(w) be the first derivative of -2*w**6/3 - 208*w**5/5 - 1009*w**4 - 12120*w**3 - 77112*w**2 - 249696*w - 898. Suppose h(s) = 0. What is s?
-17, -6
Let b(z) be the second derivative of -9*z**5/20 + 11*z**4/4 - 3*z**3 + 10*z - 132. Determine u, given that b(u) = 0.
0, 2/3, 3
Let 92*u**2 - 320*u + 81*u**2 - 267*u**2 - 190*u + 89*u**2 = 0. Calculate u.
-102, 0
Let m be ((-201)/(-21) + -7)/(-136 + 139). Let -1/7*c**4 - m - 5/7*c**3 + 5/7*c + c**2 = 0. What is c?
-6, -1, 1
Let i(z) = 2*z**5 + 28*z**4 + 22*z**3 - 2*z**2 + 2*z. Let j(f) = 3*f**5 + 58*f**4 + 46*f**3 - 4*f**2 + 5*f. Let m(y) = 11*i(y) - 5*j(y). Factor m(w).
w*(w + 1)**3*(7*w - 3)
Suppose j = 2*j + 36. Let u be (442 - 0) + -5 + j/(-6). Let -81 - u*w**3 + 193*w**2 + 85 - 5*w**3 - 52*w + 256*w**4 + 47*w**2 = 0. What is w?
1/4, 1
Let t(l) = -2*l**4 - l**3 - 2*l**2 - l - 1. Let s(w) = -3*w**5 + 166*w**4 - 2170*w**3 + 3760*w**2 + 5*w + 5. Let q(x) = -s(x) - 5*t(x). Factor q(k).
3*k**2*(k - 25)**2*(k - 2)
Let c = -185056 - -185059. Factor 1/3*z**4 + 14/3*z**c + 0 + 20*z**2 + 24*z.
z*(z + 2)*(z + 6)**2/3
Suppose -8*t - 15 = -5*t. Let h be -23*(t + 0 + 4). Factor 7*s**2 - 3*s + 8*s**2 - 20*s**2 + h*s.
-5*s*(s - 4)
Suppose 20 = 4*p - w + 175, p = -w - 45. Let g be 6/21 + p/(-7) + 2. Factor -3*x + g + 4*x**2 - 13*x + 8 + 0*x**2.
4*(x - 2)**2
Let y(m) be the second derivative of -5*m**5/4 + 1580*m**4/3 - 5035*m**3/6 - 630*m**2 + 838*m - 1. Let y(l) = 0. Calculate l.
-1/5, 1, 252
Let a be (-7 + (-1 - 605/(-77)))*-3. Solve 12/7 + a*t**2 - 15/7*t = 0.
1, 4
Suppose 5*c - 10 = 0, 2*m - c + 3 = 5. Factor 27 - 6*w**2 - 6*w**2 - 186*w + 0*w**m + 159*w.
-3*(w + 3)*(4*w - 3)
Let n(b) = 73*b**4 - 2446*b**3 + 27808*b**2 - 7727*b. Let q(u) = 9*u**4 - 306*u**3 + 3476*u**2 - 966*u. Let j(r) = -6*n(r) + 51*q(r). Factor j(p).
3*p*(p - 22)**2*(7*p - 2)
Suppose 64*a - 524*a - 6 + 6 = 0. Factor 7/2*y**2 + 1/2*y**3 + 5*y + a.
y*(y + 2)*(y + 5)/2
Let a be 17/((-1836)/120) - (-1)/9. Let l be a/(-9)*-39 - -7. Factor 4*y + 4/3*y**2 - l + 4/3*y**4 - 4*y**3.
4*(y - 2)*(y - 1)**2*(y + 1)/3
Let m = 21169/1262940 + -2/21049. Let s(a) be the third derivative of -1/240*a**6 + 2/3*a**3 + 0 - 36*a**2 + 0*a + 1/12*a**4 - m*a**5. Factor s(q).
-(q - 2)*(q + 2)**2/2
Let v(w) be the first derivative of -4*w**3/3 - 2168*w**2 - 1175056*w - 3999. Solve v(x) = 0.
-542
Suppose 0*p - 2*n - 74 = 4*p, 4*n - 5 = p. Let r = -9 - p. Factor 6*k**4 - 3*k**4 - 5*k**3 + r*k**3.
3*k**3*(k + 1)
Determine a so that 804*a - 266 - 789*a**3 + 37 + 591*a**4 - 363*a**2 + 1 - 15*a**5 = 0.
-1, 2/5, 1, 38
Let d = -10663 - -10671. Let k(g) be the second derivative of 0*g**3 + 3/10*g**6 + 0*g**2 - 2/35*g**7 - 9/25*g**5 - d*g - 1/5*g**4 + 0. Solve k(q) = 0 for q.
-1/4, 0, 2
Let h = 240 - 3243. Let g be ((-42)/h)/(1/11). Find i such that 24/13 + 16/13*i + g*i**2 = 0.
-6, -2
Let g(z) be the third derivative of 7/60*z**6 + 0 + 37*z**2 - 1/2*z**5 + 0*z + 3/4*z**4 + 0*z**3 - 1/105*z**7. Find o, given that g(o) = 0.
0, 1, 3
Let v(n) be the second derivative of 0*n**2 + 11/30*n**6 - 1/42*n**7 + 0 - 49/3*n**3 - 77*n - 9/20*n**5 - 119/12*n**4. Factor v(u).
-u*(u - 7)**2*(u + 1)*(u + 2)
Let u(y) = -53*y - 139. Let d be u(-3). Factor 25*b + 264*b**2 - 2*b + d - 58*b - 254*b**2 + 5*b**3.
5*(b - 1)**2*(b + 4)
Let t = -98 - -113. Let d be (-11 + -3 + 4)*-1. Factor 8*b**3 + 4*b**2 + d - t*b - 4*b**2 - 3*b**3.
5*(b - 1)**2*(b + 2)
Let h(r) be the second derivative of r**5/5 + 49*r**4/9 - 176*r**3/9 + 24*r**2 + 1861*r. Determine a so that h(a) = 0.
-18, 2/3, 1
Let j be 8 + (3 - (12 + -5)). Let h(o) be the third derivative of -2/21*o**j + 0*o**3 + 0*o - 2*o**2 - 3/70*o**6 - 4/35*o**5 + 0. Solve h(t) = 0.
-2/3, 0
Let i(a) = 4*a**2 - 1919*a + 5917. Let y(j) = 5*j**2 - 2880*j + 8875. Let b(c) = -10*i(c) + 7*y(c). Factor b(x).
-5*(x - 3)*(x + 197)
Let w(q) be the third derivative of q**6/600 + 3*q**5/100 - 30*q**3 + 202*q**2. Let t(y) be the first derivative of w(y). Factor t(k).
3*k*(k + 6)/5
Let z = -60922/1491 + 31/213. Let t = 41 + z. Suppose 0*d + 2/7*d**4 - t*d**5 - 2/7*d**2 + 2/7*d**3 + 0 = 0. What is d?
-1, 0, 1
Let f(c) be the first derivative of -3*c**5/25 + 531*c**4/10 - 31329*c**3/5 + 8755. Solve f(i) = 0 for i.
0, 177
Let o = 16019/174 + 1137/58. Factor -o*q**3 + 121670/3 - 2415*q**2 - 5/3*q**4 - 44965/3*q.
-5*(q - 2)*(q + 23)**3/3
Let k be 10/(-4)*(-4 + 11 + 3). Let w = k - -28. Solve 22/7*g - 22/7*g**w + 6/7*g**2 + 6/7*g**4 - 12/7 = 0 for g.
-1, 2/3, 1, 3
Let v(f) be the first derivative of f**7/42 - 7*f**6/30 + 3*f**5/5 - 39*f - 287. Let n(c) be the first derivative of v(c). Factor n(u).
u**3*(u - 4)*(u - 3)
Let m(k) be the first derivative of -k**3/8 - 51*k**2/16 + 63*k - 1152. What is b in m(b) = 0?
-24, 7
Let k(q) be the second derivative of -q**5/20 - 29*q**4/6 + 61*q**3/2 + 8268*q. What is g in k(g) = 0?
-61, 0, 3
Factor -2/3*r**2 + 252*r - 754/3.
-2*(r - 377)*(r - 1)/3
Let w(l) = l**3 + 3*l**2 + l - 1. Let y(s) = -10*s**3 + 215*s**2 - 2650*s + 5. Let n(q) = 5*w(q) + y(q). Factor n(f).
-5*f*(f - 23)**2
Let u(j) = 285*j**2 - 297700*j + 170433405. Let h(v) = -11*v**2 + 11450*v - 6555131. Let a(c) = -155*h(c) - 6*u(c). Factor a(k).
-5*(k - 1145)**2
Find m such that 3/2 + 3/8*m**2 + 3/2*m = 0.
-2
Let o(h) = -h - 21. Let f be o(-10). Let l = f - -34. Factor -l*i**4 + 4*i**3 + 70*i**4 - i**2 + 65*i**4 - 7*i**2.
4*i**2*(4*i - 1)*(7*i + 2)
Suppose 0 = -3*x - p - 1792, -5*p = x - 3*x - 1172. Let b be 8 - x/(-36) - -9. Factor -8*t - b*t**2 - 36.
-4*(t + 9)**2/9
Let x be (-26)/(-