(r - 1)*(r + 1)*(r + 2)/7
Let t(p) be the first derivative of -p**4/4 - 31*p**3/3 - 29*p**2 + 342. Suppose t(i) = 0. Calculate i.
-29, -2, 0
Suppose 11*g = 15*g - 8. Factor 4*h**2 - 684*h + 686*h - 38 + 14 - 2*h**2 + 0*h**g.
2*(h - 3)*(h + 4)
Suppose -227*k + 1201 = 417*k - 87. Suppose -4/9*h**k + 8*h - 36 = 0. Calculate h.
9
Let c = 1205/119 + -997/357. Find r, given that -2/3*r**4 - 30*r**2 - c*r**3 - 36 - 54*r = 0.
-3, -2
Let m be -10 + (-3 - 272/(-20)) - 38/(-20). Factor 5*p**3 - 5/2*p**4 - 5*p + m*p**2 + 0.
-5*p*(p - 2)*(p - 1)*(p + 1)/2
Let q(m) = 8*m**2 - 279*m - 33. Let j be q(35). Find n such that 5/3*n + 2/3*n**j - 4/3*n**3 + 2/3 - 4/3*n**4 - 1/3*n**5 = 0.
-2, -1, 1
Let y(x) be the third derivative of -x**6/144 + 67*x**5/8 + 505*x**4/6 + 3035*x**3/9 - 2303*x**2. Factor y(l).
-5*(l - 607)*(l + 2)**2/6
Let m(y) be the third derivative of 34/3*y**4 + 0*y + 8/15*y**5 + 289/3*y**3 - 2*y**2 + 43. Factor m(l).
2*(4*l + 17)**2
Let z(l) be the third derivative of l**8/840 - 16*l**7/525 + 23*l**6/100 - 3*l**5/5 + 996*l**2. Determine f so that z(f) = 0.
0, 3, 10
Let m(n) be the first derivative of n**6/900 - n**5/100 + n**4/30 + 59*n**3/3 + 36. Let c(k) be the third derivative of m(k). Factor c(v).
2*(v - 2)*(v - 1)/5
Let p(k) = 0*k - 6*k**3 - 1209*k**2 + 1198*k**2 + 11*k + 7. Let y(l) = -5*l**3 - 10*l**2 + 10*l + 6. Let r(q) = -6*p(q) + 7*y(q). Solve r(j) = 0.
0, 2
Let g = 71871/9980 - 3/1996. Factor -648/5*y - 2/15*y**3 - g*y**2 - 3888/5.
-2*(y + 18)**3/15
Suppose -368*v + 26882 + 40150 = 660*v - 97*v. What is y in 352/9*y**3 - v*y + 0 - 20/9*y**4 - 164*y**2 = 0?
-2/5, 0, 9
Suppose -5*b = 4*b + 72. Let a(q) = -q + 12. Let i be a(b). Let 8*z**2 - 4*z**2 - i + 4 = 0. What is z?
-2, 2
Let s = 18801/14 + -1339. Let d = -79/21 + s. Let 4/3*o + 8/3 + d*o**2 = 0. What is o?
-4
Let w = -1889089/8 - -236234. Factor 55/8*c**2 + w*c + 1/8*c**3 + 729/8.
(c + 1)*(c + 27)**2/8
Let k(l) = l**3 + 8*l**2 + 8*l + 9. Suppose -1211 + 1155 = 8*m. Let o be k(m). Factor -4/9*u**3 + 0 + 1/9*u**4 + 5/9*u**o - 2/9*u.
u*(u - 2)*(u - 1)**2/9
Let c(v) be the third derivative of v**6/420 - 163*v**5/210 + 27*v**4/14 - 2*v**2 - 403. Factor c(x).
2*x*(x - 162)*(x - 1)/7
Let j(y) = -8*y + 17 + 21 + 5*y + 5*y. Let w be j(-18). Factor d**2 + 2*d**w + d**2 + 56*d - 36*d.
4*d*(d + 5)
Let t(j) be the first derivative of 4*j**3/3 + 1506*j**2 - 3016*j - 5917. Factor t(l).
4*(l - 1)*(l + 754)
Let h(r) be the second derivative of -r**5/20 + 345*r**4/2 - 238050*r**3 + 164254500*r**2 - 4*r + 61. Factor h(y).
-(y - 690)**3
Let t = 473193/8 + -59149. Factor t*j**2 - j + 3/2.
(j - 6)*(j - 2)/8
Suppose -12*f = -5*f - 63. Suppose 0 = -f*z + 5*z + 44. Let -3*h + z*h - 2*h - 10*h - 4*h**2 = 0. Calculate h.
-1, 0
Factor -462/5*v**2 + 0*v + 0 + 93*v**3 - 3/5*v**4.
-3*v**2*(v - 154)*(v - 1)/5
Suppose -5*f = -4*i + 72 - 52, -20 = 3*i + 5*f. Suppose -q - d - 1 = -0*q, -3*d = 2*q + 5. Factor -16*w + 6*w**2 + i*w**2 - 2*w**q.
4*w*(w - 4)
Factor -1320*v**2 + 169*v - 3*v**4 - 1077*v + 129*v**3 - 544*v.
-3*v*(v - 22)**2*(v + 1)
Let b(v) be the first derivative of -2/3*v**3 - 18 + 1/1620*v**6 + 0*v + 25/27*v**4 + 1/27*v**5 + 0*v**2. Let r(c) be the third derivative of b(c). Factor r(g).
2*(g + 10)**2/9
Let x(y) = -9*y - 6. Let q = 15 - 19. Let n be x(q). Factor 0*w**3 + 7*w**5 - n*w**4 - 4 - 5*w**3 + 15*w**4 + 2*w**5 + 15*w**2.
(w - 1)**3*(3*w + 2)**2
Suppose 5*c + h = -34 + 268, -2*c = 4*h - 108. Factor -42 + y**2 + c*y + 4*y**2 + 114*y - 92 - 31.
5*(y - 1)*(y + 33)
Let w(s) be the third derivative of s**5/270 - 85*s**4/108 - 1136*s**2. Factor w(o).
2*o*(o - 85)/9
Let v(p) be the third derivative of p**6/600 + 247*p**5/300 + 61*p**4/30 - 82*p**3/5 + 2*p**2 - 912*p. Factor v(i).
(i - 1)*(i + 2)*(i + 246)/5
Factor 1319*m - 824*m + 618 - 6*m**2 - 2347*m.
-2*(m + 309)*(3*m - 1)
Let n(b) be the second derivative of -b**5/100 + 3*b**4/5 + 748*b. Factor n(r).
-r**2*(r - 36)/5
Let n(k) be the first derivative of 5/9*k**2 + 108 - 8/27*k**3 - 4/9*k + 1/18*k**4. Factor n(x).
2*(x - 2)*(x - 1)**2/9
Let n be 0/(-86)*(-2)/(-12). Let z(v) be the second derivative of 0*v**3 + 25*v + n*v**2 + 1/6*v**4 + 0. Suppose z(u) = 0. What is u?
0
Determine k, given that 6 - 26/3*k**2 + 8/3*k**4 - 10/3*k**3 + 10/3*k = 0.
-1, 1, 9/4
Let f = 64605/3584 - -133/512. Find z such that 2/7*z**2 + f - 32/7*z = 0.
8
Let b(c) be the third derivative of 0*c**3 - 7/60*c**4 - 5*c**2 + 7/300*c**6 + 1/150*c**5 - 1/525*c**7 + 0*c + 4. Suppose b(j) = 0. What is j?
-1, 0, 1, 7
Let a(q) be the first derivative of 61*q**6/15 + 48*q**5/5 - 135*q**4/2 - 284*q**3/3 + 444*q**2 - 144*q/5 + 7295. Suppose a(p) = 0. Calculate p.
-3, 2/61, 2
Let o(i) be the first derivative of i**9/12096 + i**8/6720 - i**7/3360 - i**6/1440 - 68*i**3 - 107. Let a(d) be the third derivative of o(d). Factor a(l).
l**2*(l - 1)*(l + 1)**2/4
Let g(t) be the second derivative of -t**7/504 + 11*t**6/144 - 3*t**5/4 + 5*t**4/12 - 3*t**2/2 - 140*t. Let a(z) be the third derivative of g(z). Factor a(q).
-5*(q - 9)*(q - 2)
Let s(r) = 6*r + 164. Let v = 103 - 130. Let l be s(v). Factor 2/11*i + 0 + 1/11*i**l - 7/11*i**5 + 19/11*i**4 - 15/11*i**3.
-i*(i - 1)**3*(7*i + 2)/11
Suppose -3/7*v**5 + 2010/7 + 5031/7*v + 3030/7*v**2 - 144*v**4 - 996/7*v**3 = 0. What is v?
-335, -1, 2
Let c = 20 + -21. Let q be (12/(-5))/c*(4 - -1). Solve 3*o - 18*o**2 + 0*o**2 + 9*o**3 + 3*o**2 + 15*o**3 - q*o**4 = 0 for o.
0, 1/2, 1
Suppose 4*o - 12 = -2*s, -364*s = -o - 359*s - 30. Let j(u) be the first derivative of o*u - 4*u**2 + 18 + 4/3*u**3. Factor j(a).
4*a*(a - 2)
Let v = 27/13 - 151/104. Let d = -1956391/8 + 244549. Factor -v*i + d*i**3 + 1/2*i**2 + 0.
i*(i - 1)*(i + 5)/8
Suppose c - 5*k = 169 - 44, 5*c = k + 529. Determine n, given that -44*n**3 + 22*n + 2*n**4 + c*n**3 - 2*n**5 - 28*n**2 - 6 - 49*n**3 = 0.
-3, 1
Let d(w) be the third derivative of -3/4*w**4 + 7/20*w**5 + 1/210*w**7 + 0*w**3 - 1/15*w**6 - 49*w**2 + 0 + 0*w. Let d(t) = 0. What is t?
0, 2, 3
Suppose 2*x = d + 15, -12*x = -16*x + 3*d + 33. Determine a so that a + a - 3*a + x*a**2 - 7*a - 24 + 2*a**3 = 0.
-3, -2, 2
Let s = 67547/38970 + 1/38970. Factor s*j - 28/15 + 2/15*j**2.
2*(j - 1)*(j + 14)/15
Factor -52/5 + 8/5*m**3 + 214/5*m**2 + 154/5*m.
2*(m + 1)*(m + 26)*(4*m - 1)/5
Let j(s) be the second derivative of 17/60*s**5 + 0 + 1/90*s**6 + 32/9*s**3 + 0*s**2 + 20/9*s**4 + 84*s. Factor j(y).
y*(y + 1)*(y + 8)**2/3
Determine k, given that -41*k + 20 - k**2 + 264 + 101*k + 2*k + 78*k = 0.
-2, 142
Let a be (-3)/(-6)*-8*2. Let s be 100/112 - ((-48)/42)/a. Factor s*z**2 - 9/4*z + 3/2.
3*(z - 2)*(z - 1)/4
Let l(u) be the third derivative of u**5/12 + 205*u**4/6 + 815*u**3/6 - 13*u**2 - 23*u. Factor l(c).
5*(c + 1)*(c + 163)
Let z(h) be the first derivative of h**4/14 + 32*h**3/21 - 16*h**2/7 - 512*h/7 - 99. Factor z(w).
2*(w - 4)*(w + 4)*(w + 16)/7
Let u be 12/8*2354/(-55). Let c = u + 1289/20. Factor -c*h**3 - 1/4*h**2 + 0 + 1/4*h**4 + 1/4*h.
h*(h - 1)**2*(h + 1)/4
Suppose -10*u + 127 = 67. Let q(d) = d**3 - 3*d**2 - 16*d - 7. Let t be q(u). Find r, given that 8/3*r**2 - 8/3*r**4 + 0 + 0*r**3 - 4/3*r + 4/3*r**t = 0.
-1, 0, 1
Suppose -9*y = 2*y. Let b(r) be the first derivative of 6 - 4/5*r**5 - r**2 - 5/3*r**3 + y*r + 11/4*r**4. Find m such that b(m) = 0.
-1/4, 0, 1, 2
Find j such that -821583/2*j + 36855/2*j**2 + 750141 - 573/2*j**3 + 3/2*j**4 = 0.
2, 63
Let c = -5501221/13 - -423171. Suppose -2/13*o + c*o**3 - 2 + 2*o**2 = 0. What is o?
-13, -1, 1
Let s(w) = 2*w**2 - 36*w + 3. Let v be s(18). Determine c so that 202*c - 16*c**v - 8*c**4 - 202*c - c**5 = 0.
-4, 0
Factor 43 - 31 + 48*d + 2*d**2 - 14*d - 20*d.
2*(d + 1)*(d + 6)
Let z(m) be the third derivative of -m**5/210 + 16*m**4/7 - 380*m**3/21 + 370*m**2 + 3*m. Factor z(f).
-2*(f - 190)*(f - 2)/7
Let o(g) be the first derivative of 2*g**3/45 - g**2 + 28*g/15 + 62. Let o(b) = 0. What is b?
1, 14
Let k = 78 + 87. Find t such that -290 + 13*t + 122*t + 12*t**2 + k + 158 = 0.
-11, -1/4
Let r = -161/12 - -55/4. Let y(g) be the first derivative of -4 + 0*g - 2/9*g**3 - r*g**2. Factor y(u).
-2*u*(u + 1)/3
Let o(f) = 259*f - 51*f + 30*f**3 + 175 - 228*f**2 + 125*f + 31*f. Let q(l) = -45*l**3 + 342*l**2 - 545*l - 263. Let v(j) = -7*o(j) - 5*q(j). Factor v(w).
3*(w - 5)*(w - 3)*(5*w + 2)
Let k(v) 