at -135/2 - 3/2*w**4 + 6*w - 6*w**3 + 69*w**2 = 0.
-9, -1, 1, 5
Let c(g) = -135*g**2 - 29645*g - 1633335. Let y(z) = 5*z**2 + 1098*z + 60494. Let d(o) = 2*c(o) + 55*y(o). Suppose d(x) = 0. Calculate x.
-110
Suppose -21*l + 60 = -6*l. Suppose 0 = l*s + 5*s - 90. Factor -j**4 + 478*j**5 + 11*j**4 - 5*j**3 - s*j**2 - 473*j**5.
5*j**2*(j - 1)*(j + 1)*(j + 2)
Factor 31250 + 14629/2*g**2 - 30750*g + 123*g**3 + 1/2*g**4.
(g - 2)**2*(g + 125)**2/2
Let y(p) be the first derivative of 7*p**8/80 - 3*p**7/40 - p**6/5 - p**5/10 - 32*p**3/3 - 97. Let c(w) be the third derivative of y(w). Factor c(o).
3*o*(o - 1)*(7*o + 2)**2
Let v(t) = -7*t**2 - 93*t + 206. Let p(i) = 8*i**2 + 92*i - 204. Let m be (-13 + -4 + 13)*(-2)/(-4). Let n(q) = m*p(q) - 3*v(q). Factor n(f).
5*(f - 2)*(f + 21)
Let d = 4611 + -4609. Factor 0*a - 2/11*a**d + 2/11.
-2*(a - 1)*(a + 1)/11
Let z(y) be the second derivative of -124*y + 0 + 3/2*y**3 - y**2 + 1/6*y**4 - 9/20*y**5. Factor z(s).
-(s - 1)*(s + 1)*(9*s - 2)
What is z in -2/11*z**2 + 2/11*z + 544/11 = 0?
-16, 17
Suppose 131*q - 135*q + 4*l = -92, 303 = 52*q - 5*l. Factor -12*r**q - 8/5*r**2 + 0*r + 0 + 44/5*r**3.
-4*r**2*(3*r - 1)*(5*r - 2)/5
Let t(v) be the first derivative of 31*v**3/3 - 35*v**2 - 198*v - 39. Let w(a) = 11*a**2 - 23*a - 66. Let d(x) = -4*t(x) + 11*w(x). Factor d(b).
-3*(b - 11)*(b + 2)
Let t(r) be the second derivative of -2*r - 1/21*r**4 + 16/21*r**3 + 9 + 18/7*r**2. Let t(b) = 0. What is b?
-1, 9
Let i be ((-4)/2 + -5)*(-622)/2177. Find q, given that -4/7*q**i + 36/7 + 32/7*q = 0.
-1, 9
Let l(n) be the third derivative of 0 - 1/1680*n**8 - 35*n**2 + 2/15*n**3 + 1/600*n**6 + 1/350*n**7 + 0*n**4 - 7/300*n**5 + 2*n. Solve l(q) = 0.
-1, 1, 2
Let v be (6/(-15))/(-2*(-39)/(-6)). Let l(o) be the first derivative of -3/26*o**4 + v*o**5 + 38 + 0*o + 2/13*o**3 - 1/13*o**2. Solve l(y) = 0 for y.
0, 1
Let b(s) be the second derivative of -3*s**5/80 - 37*s**4/16 + s**3/8 + 111*s**2/8 - 3936*s. Determine q, given that b(q) = 0.
-37, -1, 1
Suppose 6*q = 28 - 16. Suppose 0 = 3*i + 3*f - 20 - 4, 3*i - 16 = -f. Factor -61*p**q + 52*p**2 + 12 - i*p**3 + p**3.
-3*(p - 1)*(p + 2)**2
Determine j, given that -2124149/2*j**3 - 1/4*j**5 - 840451779/2*j**2 - 1689410871/4 - 3571/4*j**4 + 3374566299/4*j = 0.
-1191, 1
Factor 273/8*u**2 - 2037/8 - 1767/8*u + 3/8*u**3.
3*(u - 7)*(u + 1)*(u + 97)/8
Find v such that -3/2*v**2 + 306*v + 615/2 = 0.
-1, 205
Let m = -1711 + 1717. Suppose 3*w + 7*a - 3*a - 20 = 0, 2*a = -w + 8. Factor m + 2/3*f**2 - w*f.
2*(f - 3)**2/3
Let z(j) = 1114*j - 65723. Let q be z(59). Find m, given that 0*m**q + 0*m + 0 - 2/3*m**4 + 2/3*m**2 = 0.
-1, 0, 1
Let v be 4*1/(-10)*-5. Factor -c - 32 + 75 + 7*c + v*c**2 - 39.
2*(c + 1)*(c + 2)
Let o be 2/(((-15330)/90)/73 - (0 + -3)). Factor -o*a**2 + 6/7*a - 15/7*a**4 + 27/7*a**3 + 0 + 3/7*a**5.
3*a*(a - 2)*(a - 1)**3/7
Let g be ((-8)/(-5))/((-3)/((-1410)/4)). Suppose -178*l + g*l - 30 = 0. Factor -2/9*t**5 + 0*t + 0 + 0*t**4 + 2/9*t**l + 0*t**2.
-2*t**3*(t - 1)*(t + 1)/9
Suppose -190 = -7*y + 2*y. Suppose k + 36 = y. Find g such that k*g - 12*g - 77 + 5*g**2 + 77 = 0.
0, 2
Let j(w) = w**3 + 20*w**2 - 22*w - 14. Let z(r) = 4*r - 9. Let c be z(-3). Let a be j(c). Solve -17*m**2 - 12 + 15*m**2 - a*m - 3*m = 0.
-3, -2
Suppose 6*t - 4*t + 1185*s = 1183*s, 3*t + 2*s = 2. Suppose 0*f**t + 1/2*f**5 + 0 + 0*f + 1/2*f**4 - f**3 = 0. Calculate f.
-2, 0, 1
Let s(d) be the first derivative of -d**6/3 - 36*d**5/5 + 63*d**4 + 440*d**3/3 - 741*d**2 + 828*d + 2009. Find p such that s(p) = 0.
-23, -3, 1, 6
Let z(q) be the first derivative of q**4/90 - 104*q**3/45 + 2704*q**2/15 - 50*q + 123. Let a(o) be the first derivative of z(o). Solve a(w) = 0 for w.
52
Let w(t) = 11*t**4 - 1445*t**3 + 476*t**2 - 20*t + 4. Let u(v) = -v**4 - v**2 - 5*v + 1. Let p(r) = -4*u(r) + w(r). Let p(n) = 0. What is n?
0, 1/3, 96
Let z be 42 + 494/104*-6. Solve -11/2*d**4 + 0 - z*d**3 - 4*d - 1/2*d**5 - 25/2*d**2 = 0.
-8, -1, 0
Let b(p) be the second derivative of p**8/5376 + 5*p**7/2016 - p**6/96 + 29*p**4/6 + 8*p + 2. Let a(w) be the third derivative of b(w). Factor a(d).
5*d*(d - 1)*(d + 6)/4
Determine k, given that 42*k + 79*k**4 - 140*k**4 - 10 + 102*k**2 + 49*k**4 + 38*k**3 = 0.
-1, 1/6, 5
Let t(g) be the second derivative of -g**5/60 + g**4/6 + 5*g**3/6 - 79*g**2 + 71*g. Let j(h) be the first derivative of t(h). Let j(u) = 0. Calculate u.
-1, 5
Let k(a) be the third derivative of -a**7/42 - 233*a**6/24 + 157*a**5/4 + 1165*a**4/24 - 1175*a**3/3 + 495*a**2 - 1. What is z in k(z) = 0?
-235, -1, 1, 2
Let z(d) = -d + 17. Let a be z(13). Suppose 0 = y - a*y + 15. Factor 5*o**5 + y*o**4 - o**5 + 8*o**2 - 4*o - 13*o**4.
4*o*(o - 1)**3*(o + 1)
Let n = -38 + 40. Find p such that -22 - n + 26*p**2 + 14*p**4 - 6*p**3 + 72*p - 2*p**5 - 8*p - 31*p**2 - 41*p**2 = 0.
-2, 1, 6
Let v(d) = d**3 + 15*d**2 + 1. Let j(r) = 19*r**3 - 27*r**2 + 18. Let g(l) = j(l) - 18*v(l). Determine o so that g(o) = 0.
0, 297
Let s(o) be the third derivative of o**6/60 - 13*o**5/30 + 17*o**4/4 - 21*o**3 + 498*o**2. Factor s(d).
2*(d - 7)*(d - 3)**2
Let z(g) be the second derivative of 1/7*g**3 + 1/147*g**7 - 5 - 2/7*g**2 - 2/35*g**5 + 0*g**6 + 1/21*g**4 - g. Factor z(s).
2*(s - 1)**3*(s + 1)*(s + 2)/7
Let x(q) be the third derivative of q**2 + 1/72*q**5 + 0*q + 0*q**6 - 1/1260*q**7 - 15 - 1/9*q**3 + 0*q**4. Let x(s) = 0. Calculate s.
-2, -1, 1, 2
Let -622843*y**2 - y + 623803*y**2 - 7*y**5 + 4312*y**3 + 1884*y**4 - 9*y**5 + y = 0. Calculate y.
-2, -1/4, 0, 120
Let 152*u - 986/9*u**3 + 572/9*u**2 - 7/9*u**5 + 73/3*u**4 - 416/9 = 0. What is u?
-1, 2/7, 2, 4, 26
Factor -76*b**3 - 33*b**4 + 60*b**4 - 1898*b**2 - 34*b**4 - 164*b + 1685*b**2 + 28.
-(b + 2)**2*(b + 7)*(7*b - 1)
Let n(z) be the third derivative of -2*z + z**2 - 1/45*z**5 + 4/3*z**3 + 0 - 23/36*z**4. Factor n(t).
-2*(t + 12)*(2*t - 1)/3
Let w be (65/(-416)*-4)/(6 + (-316)/56). Find h such that 1/4 + 15/4*h**2 - 9/4*h**3 - w*h = 0.
1/3, 1
Let s = -72 + 75. Suppose -7 = -5*k + s. Suppose -6 + 5*r + k + 10*r**2 - 11*r**2 = 0. Calculate r.
1, 4
Let b(w) be the first derivative of w**4 - 148*w**3 - 450*w**2 - 452*w + 936. Factor b(q).
4*(q - 113)*(q + 1)**2
Let o be (-112)/728 + (-2770)/(-17498). Let j = o - -2007/2692. Determine x so that -3/2*x**2 - j*x**5 + 0*x + 0 + 9/4*x**3 + 0*x**4 = 0.
-2, 0, 1
Let z = -636 - -651. Suppose 5*t + 5*n = z, -8*n + 5*n + 6 = 2*t. Factor -9/2*l**t + 45/2*l - 21/2*l**2 + 3/2*l**4 + 27.
3*(l - 3)**2*(l + 1)*(l + 2)/2
Let 4873*i**2 + 29929/6 + 1/6*i**4 - 172/3*i**3 + 29756/3*i = 0. What is i?
-1, 173
Suppose 4*l - 1440 = -5*p, 2*p = -2*p - 5*l + 1152. Let g = 290 - p. Find q such that -2/9*q**3 + 2/9*q + 2/9*q**4 - 2/9*q**g + 0 = 0.
-1, 0, 1
Let q(w) be the third derivative of -1/60*w**6 + 0 + 1/12*w**4 + 13/210*w**7 + 10*w**2 - 13/60*w**5 + 0*w**3 - 4*w. Let q(m) = 0. What is m?
-1, 0, 2/13, 1
Let w(u) be the third derivative of 0*u + 81*u**2 + 0 + 2/3*u**3 + 1/24*u**4 - 1/12*u**5. Suppose w(r) = 0. Calculate r.
-4/5, 1
Factor -2/3*n**2 + 96 - 20/3*n.
-2*(n - 8)*(n + 18)/3
Factor 0*o - 14*o**2 + 0 - 19/3*o**3 + 1/3*o**4.
o**2*(o - 21)*(o + 2)/3
Let c(p) be the second derivative of -21/2*p**2 - 9/4*p**4 - 1 + 30*p - 15/2*p**3 - 3/20*p**5. What is g in c(g) = 0?
-7, -1
Let c(s) be the third derivative of -s**6/900 + 26*s**5/75 + 7*s**4/4 + 158*s**3/45 + 88*s**2 - 9. Suppose c(t) = 0. What is t?
-1, 158
Let q(z) be the third derivative of -3*z - 19/21*z**4 + 11/35*z**5 + 8/7*z**3 - 3/140*z**6 + 0 - 8*z**2. Find f such that q(f) = 0.
2/3, 6
Let u = -5447 + 5447. Let g(j) be the third derivative of 1/120*j**6 - 1/24*j**4 - 15*j**2 - 1/30*j**5 + u + 0*j + 1/3*j**3. Factor g(f).
(f - 2)*(f - 1)*(f + 1)
Let r(k) be the third derivative of 23*k**2 + 3/40*k**6 + 0*k**3 - 1/112*k**8 + 1/4*k**5 + 1/4*k**4 - 1/70*k**7 + 0*k - 1. Solve r(q) = 0 for q.
-1, 0, 2
Let y = 173 + -166. Suppose -5*l = -3*b - y, -3*b - 15*l - 1 = -17*l. Factor 1/3*h**2 + 5/3*h - 1/3*h**3 + b.
-(h - 3)*(h + 1)**2/3
Suppose 379*b + 28 = 386*b. Suppose -28 = -k - b. Determine r, given that 98/5*r**3 + k*r + 16/5 + 252/5*r**2 = 0.
-2, -2/7
Let b(j) be the first derivative of -j**4/6 + 146*j**3/9 - 1295*j**2/3 - 2738*j/3 + 1671. Solve b(l) = 0 for l.
-1, 37
Let v(c) be the third derivative of 10/3*c**3