02*w = 0.
-4, 2, 9
Let p be 2/(-17) - 5496/1836. Let z = -25/9 - p. Factor 0*l**4 + 0*l**2 - 1/3*l + 0 - z*l**5 + 2/3*l**3.
-l*(l - 1)**2*(l + 1)**2/3
Let a(d) be the third derivative of -d**6/120 - 13*d**5/10 - 627*d**4/8 - 2178*d**3 - 294*d**2. What is x in a(x) = 0?
-33, -12
Let j(y) be the first derivative of -72 + 90*y - 5/3*y**3 - 85/2*y**2. Factor j(t).
-5*(t - 1)*(t + 18)
Let s(o) be the first derivative of 0*o**3 - 1/8*o**2 + 0*o + 1/16*o**4 - 73. Determine t, given that s(t) = 0.
-1, 0, 1
Let v(g) be the first derivative of g**5/30 - g**4/4 - 47*g**3/18 - 7*g**2 - 22*g/3 - 185. Solve v(c) = 0 for c.
-2, -1, 11
Let t(l) be the second derivative of -l**6/45 - 23*l**5/6 - 227*l**4/18 - 113*l**3/9 - 330*l. Find q such that t(q) = 0.
-113, -1, 0
Solve -1470*j - 2/5*j**3 + 17150 + 42*j**2 = 0.
35
Let l(u) = u**5 - 8*u**4 - 7*u**3 + 50*u**2 + 92*u + 46. Let k(a) = a**5 - 9*a**4 - 5*a**3 + 51*a**2 + 88*a + 45. Let n(m) = -2*k(m) + 3*l(m). Solve n(i) = 0.
-2, -1, 4, 6
Suppose 176 = 10*x - 7394. Let u = -5297/7 + x. Factor 0*a**2 + u*a**5 - 4/7*a**4 + 0 - 6/7*a**3 + 0*a.
2*a**3*(a - 3)*(a + 1)/7
Suppose 176*k = 178*k - 6. Let g be 0 + 1/5*30/9. Factor 2/3*p**4 - 2/3*p + g*p**k + 0 - 2/3*p**2.
2*p*(p - 1)*(p + 1)**2/3
Let m(t) be the third derivative of 42*t**2 - 1/40*t**5 - 1/672*t**8 + 0*t**4 + 1 + 0*t + 0*t**3 + 1/140*t**7 + 1/240*t**6. Solve m(n) = 0 for n.
-1, 0, 1, 3
Solve -1/10*j**4 + 12117/10*j + 5733/5 - 17/10*j**3 + 127/2*j**2 = 0.
-21, -1, 26
Let d(v) be the first derivative of v**5/10 - v**3 - 2*v**2 + 51*v + 154. Let u(t) be the first derivative of d(t). Factor u(z).
2*(z - 2)*(z + 1)**2
Let r(n) = -n**2 + 11*n - 28. Let g be 39/104 - (159/(-24) + 1). Let u be r(g). Find h, given that 20/3*h**4 + 41/3*h**u - 5*h - 16*h**3 + 2/3 = 0.
2/5, 1/2, 1
Let t be -2 + 1 + (-16)/2. Let p(s) = 19*s**4 + 10*s**3 + 9. Let g(q) = -5*q**3 + 98081*q**4 - 98090*q**4 - 4 + 0*q**3. Let i(z) = t*g(z) - 4*p(z). Factor i(h).
5*h**3*(h + 1)
Factor 2*n**3 + 0*n**4 + 0*n**4 - 11*n**4 - 40456*n**5 + 40443*n**5.
-n**3*(n + 1)*(13*n - 2)
Let t = -153 - -155. Let g be ((-51)/(-425))/((-1 - -4) + (-118)/40). Solve -3/5*o**4 + 3*o**3 + g - 3*o - 9/5*o**t = 0.
-1, 1, 4
Let y = 1/281 + -1929/147244. Let z = 14173/2620 + y. Suppose -6/5 + z*a**2 + 21/5*a**3 - 18/5*a**5 - 3/5*a - 21/5*a**4 = 0. What is a?
-1, -2/3, 1/2, 1
Let x(v) be the second derivative of 0 - 3/20*v**4 + 0*v**3 + 1/100*v**5 + 54/5*v**2 - 120*v. Let x(c) = 0. Calculate c.
-3, 6
Let p = -2778287/3 + 926103. Factor 7 + 1/3*b**2 - p*b.
(b - 21)*(b - 1)/3
Suppose -4*p - 20 = -4*w, -3*w + 19 = 2*p - 4*p. Factor -12*j - 36 + 18*j**3 + w*j**4 + 42*j**2 - 15*j**2 - 6*j**4.
3*(j - 1)*(j + 2)**2*(j + 3)
Let z(w) be the second derivative of -8/3*w**2 - 1/30*w**5 + 1/9*w**4 + 4/9*w**3 + 4 + 2*w. Factor z(m).
-2*(m - 2)**2*(m + 2)/3
Suppose -4*b - 2*y - 2*y = -44, 20 = b + 4*y. Let l be (b - -3 - (-6)/(-3)) + 2. Let -12 + 5*w**2 - l*w**2 + 8*w**2 + w**2 = 0. What is w?
-2, 2
Let l = -112156 - -112156. What is c in l - 18/5*c**2 + 27/5*c + 3/5*c**3 = 0?
0, 3
Let k(p) be the first derivative of -p**3/21 - 67*p**2/14 + 138*p/7 - 2427. Suppose k(j) = 0. What is j?
-69, 2
Let a be (-11)/((-33)/21) - 4. Find j, given that -32/7*j - 18/7*j**2 - 8/7 + 22/7*j**a + 10/7*j**4 - 6/7*j**5 = 0.
-1, -1/3, 2
Let x(c) be the second derivative of c**4/60 - 161*c**3/10 + 3313*c. Factor x(w).
w*(w - 483)/5
Find y, given that 0 - 206/5*y - 2/5*y**2 = 0.
-103, 0
Let k(f) be the second derivative of 130*f + 0*f**3 - 7/8*f**4 - 3/5*f**5 + 0 + 0*f**2 - 1/20*f**6. What is b in k(b) = 0?
-7, -1, 0
Let y(b) be the third derivative of b**6/8 + 341*b**5/6 + 4525*b**4/24 + 565*b**3/3 + 2*b**2 + 66. Factor y(v).
5*(v + 1)*(v + 226)*(3*v + 1)
What is j in -38 + 2/9*j**2 + 20/9*j = 0?
-19, 9
What is s in 22/5*s**4 - 378/5*s**3 + 0 + 72/5*s - 328/5*s**2 = 0?
-1, 0, 2/11, 18
Suppose 0 = 4*i + 3*f - 8, -3*i = -2*i + 2*f - 2. Let o(m) be the first derivative of 0*m + 11 - 7/3*m**3 - 9/4*m**4 + m**i. Suppose o(u) = 0. What is u?
-1, 0, 2/9
Let u(y) = -6*y**2 + 191*y + 236. Let z be u(33). Let v(m) be the third derivative of 1/100*m**z + 35*m**2 + 0*m - 1/5*m**4 + 8/5*m**3 + 0. Factor v(w).
3*(w - 4)**2/5
Factor 30*t**3 + 48 + 663*t**2 + 57*t**3 - 68*t - 16*t**4 + 127*t**3 - 303*t + 2*t**3.
-(t - 16)*(t + 3)*(4*t - 1)**2
Let q(f) be the third derivative of -f**7/25200 + f**6/1800 + f**4/12 - 4*f**3/3 - 9*f**2. Let s(g) be the second derivative of q(g). What is i in s(i) = 0?
0, 4
Let m be 1/(-5) + 3328/4290 + 2/(-4). Let t(o) be the second derivative of 20*o - 1/11*o**2 + m*o**3 + 0 - 1/66*o**4. Factor t(f).
-(f - 2)*(2*f - 1)/11
Let b(c) = -c**2 + 2*c + 88. Let j be b(9). Let y be 1 - 2 - -1*205/j. Let 0*a**2 + 3/5*a**3 - y*a - 48/5 = 0. Calculate a.
-2, 4
Let q = -23 + 25. Let i(u) = -3*u + 11. Let k be i(q). Solve 4*d**k - 2*d + 32*d**2 + 3*d**4 + 4*d + d**5 - 7*d**3 - 35*d**2 = 0.
-1, 0, 2/5, 1
Determine w so that 0*w + 7/9*w**4 - 14/9*w**2 + 0 - 47/9*w**3 = 0.
-2/7, 0, 7
Let n be (-3)/3 + 3 - 0/(-2). Find z, given that -809*z**n + 274*z**2 + 267*z**2 + z**3 + 272*z**2 + 2 + 5*z = 0.
-2, -1
Suppose -764 = 5*w - 4*v, -2*w = -69*v + 73*v + 328. Let b = w - -159. Factor 0 + 2/3*g - 7/3*g**4 - 11/3*g**2 + 16/3*g**b.
-g*(g - 1)**2*(7*g - 2)/3
Let a(b) be the second derivative of 5*b**4/12 + 75*b**3/2 + 410*b**2 - 2*b + 784. Determine d, given that a(d) = 0.
-41, -4
Let p = -2866/3 + 956. Let z(q) be the second derivative of -2/21*q**7 + 0 + 0*q**3 + 19*q - p*q**6 - 8/5*q**5 - 4/3*q**4 + 0*q**2. Factor z(f).
-4*f**2*(f + 1)*(f + 2)**2
Let r(d) = -576*d - 1647. Let s(y) = -36*y - 103. Let k(w) = -2*r(w) + 33*s(w). Let u be k(-3). Determine g, given that 1/2*g**2 - 1/4*g**u - 1/4*g + 0 = 0.
0, 1
Let h be 2 - 13/5 - 744/(-40). Factor 4*l**2 - 9*l**2 + 5*l**2 + h - 21*l + 3*l**3.
3*(l - 2)*(l - 1)*(l + 3)
What is k in 42/5*k**5 - 296/5*k - 16 + 40*k**4 + 242/5*k**3 - 108/5*k**2 = 0?
-2, -10/7, -1/3, 1
Factor 1285/2 - 645*j + 5/2*j**2.
5*(j - 257)*(j - 1)/2
Suppose -4*c**5 + 340/7*c**2 - 780/7*c**3 + 300/7*c**4 + 24*c + 0 = 0. Calculate c.
-2/7, 0, 1, 3, 7
Let u = 321417/2 - 160707. Let u*o + 0 - 3/4*o**2 = 0. What is o?
0, 2
Let j = -1990 + 59701/30. Let d(y) be the third derivative of j*y**5 - 1/6*y**3 + 0 - 14*y**2 + 0*y - 1/24*y**4. Suppose d(b) = 0. Calculate b.
-1/2, 1
Let l(o) = -9*o**2 - 202*o - 2000. Let n(f) = -5*f**2 + 3*f + 3*f**2 + 0*f - 4*f. Let m(z) = l(z) - 2*n(z). Let m(v) = 0. What is v?
-20
Suppose 25 = -59*g + 64*g. Let n = 9 - g. Factor -4*q**3 - 12*q**2 - 14*q**3 - 6*q**n - q + 3*q**3 - 2*q.
-3*q*(q + 1)**2*(2*q + 1)
Let g(y) be the second derivative of -14/9*y**3 - 8/3*y**2 + 2/15*y**5 + 88*y - 1/6*y**4 + 0 + 1/45*y**6. What is t in g(t) = 0?
-4, -1, 2
Let s be (((-10944)/(-133))/32)/((-198)/(-168)). Factor s*w + 10/11*w**2 + 8/11.
2*(w + 2)*(5*w + 2)/11
Let 70*f + 65 + 7 - 24*f + f**2 - 33*f - 30*f = 0. What is f?
8, 9
Let q(z) be the second derivative of 43 - 1/3*z**4 + 2*z - 1/3*z**3 + 0*z**2 + 1/8*z**5. Find k such that q(k) = 0.
-2/5, 0, 2
Determine s, given that 795/8*s**2 + 75/2*s**3 + 27/8 + 141/4*s = 0.
-9/4, -1/5
Let m(y) be the first derivative of 34969*y**3/12 - 561*y**2/4 + 9*y/4 - 14. What is f in m(f) = 0?
3/187
Suppose 12*m**4 - 1579*m**3 + 99*m + 45*m + 2140*m**3 - 717*m**2 = 0. What is m?
-48, 0, 1/4, 1
Suppose -231 = -67*d + 74*d. Let i be 12/15 + 0 + d/(-15). Factor 2/23*j**i + 6/23*j - 10/23*j**2 + 18/23.
2*(j - 3)**2*(j + 1)/23
Let m(d) be the second derivative of 13*d**3 - 10*d**2 - 3/10*d**5 - 185*d + 0 - 13/3*d**4. Factor m(k).
-2*(k - 1)*(k + 10)*(3*k - 1)
Let g(t) be the second derivative of t**7/63 - 8*t**6/15 - 14*t**5/15 + 35*t**4/9 + 41*t**3/3 + 50*t**2/3 - 44*t - 19. Solve g(f) = 0 for f.
-1, 2, 25
Let j = 8084/11 - 24230/33. Determine c, given that -j*c**3 + 0*c + 0 - 2/3*c**5 - 4/3*c**4 + 0*c**2 = 0.
-1, 0
Let q be 1/(-2) + (-15)/(-30). Suppose 2*l - 4*l + 42 = q. Factor -43*o - 60*o + 24 + 90*o**2 - l*o**3 - 47*o + 42*o.
-3*(o - 2)**2*(7*o - 2)
Suppose 0 = -f - 3*c - 289, 97 + 1052 = -4*f - 5*c. Let a = -286 - f. Let -x + 49/5*x**4 - 12/5*x**5 - 9/5*x**2 + 57/5*x**3 + a = 0. Calculate x.
-1, -1/4, 0, 1/3, 5
Suppose -6*k - 35 = -31*k + 15. Let h(f) be the first derivative of -16/3*f**3 + 9 - 10*f