t f(d) = 0. Calculate d.
-3/8, 2
Let x(i) = -43*i - 285. Let l(c) = 77*c + 570. Let h(v) = 6*l(v) + 11*x(v). Let a be h(25). Factor -5/4*g**4 + 0*g - 45/4*g**3 + 0 - a*g**2.
-5*g**2*(g + 1)*(g + 8)/4
Find j, given that -138*j**2 + 2847 + 261*j**2 - 122*j**2 - 266*j + 14842 = 0.
133
Suppose 25*k - 24*k + 105 = 0. Let b be 4 - ((-20)/k)/((-6)/(-119)). Solve -b*o**2 + 4/9*o + 2/3 = 0.
-1, 3
Let u be 34905/78*2/10. Let j = 363/4 - u. Find y, given that -j*y**2 + 3/4*y + 1/2 = 0.
-2/5, 1
What is d in 765315 + 5*d**3 - 2639*d**2 - 4*d**3 + 1739760*d + 977085 = 0?
-1, 1320
Let v(s) be the first derivative of s**3 - 18*s - 110 - 3/2*s**2. Factor v(h).
3*(h - 3)*(h + 2)
Let l be (60912/54)/(-47) + 41. Factor -12 - 1/2*h**5 + 2*h**4 + 3/2*h**3 + 26*h - l*h**2.
-(h - 2)**3*(h - 1)*(h + 3)/2
Let v(o) be the second derivative of -o**4/6 + 31*o**3/3 + 66*o**2 - 810*o. Factor v(t).
-2*(t - 33)*(t + 2)
Let o(t) = t + 9. Let l be o(-6). Let r be -2 + -2 + 5 + l. Let -16*q**2 + q - 8*q**3 + 4 + 7*q - 4*q**r + 16*q**2 = 0. Calculate q.
-1, 1
Let f(i) be the second derivative of -i**7/42 + 29*i**6/30 + 31*i**5/10 + i**4/6 - 61*i**3/6 - 31*i**2/2 + 3333*i. Solve f(y) = 0 for y.
-1, 1, 31
Solve -45547258*o**2 - 162467386 + 302612436*o - 2634*o**4 - 20073142 - 10426854*o**2 - 46169128 - 3*o**5 - 767349*o**3 - 17158682*o**2 = 0 for o.
-294, 1, 3
Let i(h) be the third derivative of h**5/12 + 85*h**4/6 - 115*h**3/2 - 188*h**2. Factor i(a).
5*(a - 1)*(a + 69)
Let d(u) be the third derivative of -u**8/1008 - u**7/63 - u**6/15 + u**5/18 + 25*u**4/72 - u**2 - 47*u. Solve d(c) = 0.
-5, -1, 0, 1
Factor -390*d**2 - 1 + 150559*d**4 + 1 - 75282*d**4 + 69*d**3 - 75280*d**4.
-3*d**2*(d - 13)*(d - 10)
Let q(g) be the first derivative of -2*g**3/21 + 6*g**2/7 + 110*g/7 + 476. Solve q(o) = 0.
-5, 11
Let a(t) = 6*t - 12. Let n be a(3). Let m be 770/33*n/5. What is g in 205*g**3 + 28*g**4 + 1 - m*g**2 + 8*g - 1 - 213*g**3 = 0?
-1, 0, 2/7, 1
Let t = -4466 + 4482. Let l(h) be the third derivative of -1/20*h**5 - 1/24*h**4 + 0*h + t*h**2 + 0 + 1/120*h**6 + 1/2*h**3. Let l(w) = 0. Calculate w.
-1, 1, 3
Suppose r = 4*r - 18. Let f(j) = -j**3 + 5*j**2 + 10*j - 19. Let g be f(r). Determine o so that -4 - 4 - g*o**2 + 2*o**2 + 5*o**2 = 0.
-2, 2
Let a(j) = -303*j**2 - 285*j - 2432. Let o(b) = 181*b**2 + 143*b + 1216. Let p(w) = -3*a(w) - 5*o(w). Factor p(s).
4*(s + 16)*(s + 19)
Let b(s) = -489*s**2 + 12132*s + 6132731. Let p(c) = -294*c**2 + 6066*c + 3066366. Let q(z) = -3*b(z) + 5*p(z). Factor q(u).
-3*(u + 1011)**2
Determine p, given that 22*p**2 + 38*p**2 - 6*p**3 + 6*p**3 + 75*p - 5*p**3 + 0*p**3 - 130 = 0.
-2, 1, 13
What is d in 10/9*d**3 - 4/3*d**2 + 2/9*d**4 + 0 + 0*d = 0?
-6, 0, 1
Let s(d) = -18*d**2 - 25 - 10*d**4 + 4*d**3 - 10*d - 18 + 11 + 26*d. Let n(m) = 3*m**4 - m**3 + 6*m**2 - 5*m + 10. Let o(u) = 16*n(u) + 5*s(u). Factor o(b).
-2*b**2*(b - 3)*(b + 1)
Let r(g) = g**3 + 5*g**2 - 4*g - 32. Let k(x) = x**3 + 5*x**2 - 10*x + 24. Let s be k(-7). Let f be r(s). Factor -4/3*c**2 + 4/3*c**4 + 4/3*c + f - 4/3*c**3.
4*c*(c - 1)**2*(c + 1)/3
Solve 32/5*l**4 + 84/5*l**3 + 88/5*l**2 + 32/5*l + 0 + 4/5*l**5 = 0 for l.
-4, -2, -1, 0
Let t(d) = -8*d**2 + 372*d + 2136. Let a(c) = -c**2 + 55*c + 305. Let b(z) = 20*a(z) - 3*t(z). Let b(q) = 0. What is q?
-7, 11
Let j = -131/6 - -22. Let c = 22905 + -68714/3. Let j*u**2 + c - 1/2*u = 0. Calculate u.
1, 2
Determine s so that -30 + 12*s**4 - 14*s**5 + 238*s + 8*s**5 - 195*s - 44*s**3 + 7*s**5 + 18*s**2 = 0.
-15, -1, 1, 2
Let o(d) be the second derivative of -2 + 0*d**2 - d + 3/154*d**7 - 1/33*d**3 + 21/220*d**5 + 1/44*d**4 + 5/66*d**6. Find x such that o(x) = 0.
-1, 0, 2/9
Let j(s) be the first derivative of -2*s**5/15 - 3*s**4 - 184*s**3/9 - 58*s**2 - 66*s + 1361. Determine q, given that j(q) = 0.
-11, -3, -1
Let w(g) = 10*g + 47. Let v be w(-4). Suppose 0 = -4*t + 5*h + 13, -5*t + 13 = h - 4*h. Factor 28*i - 18 + v*i**2 - 4*i**t - 13*i.
3*(i - 1)*(i + 6)
Let a(l) be the third derivative of -11*l**2 - 829/60*l**5 - 54*l**3 + 13/15*l**6 - 1/70*l**7 + 0 - 105/2*l**4 - 4*l. Factor a(y).
-(y - 18)**2*(y + 1)*(3*y + 1)
Factor 58*v**2 + 2/9*v**3 + 346/3*v + 518/9.
2*(v + 1)**2*(v + 259)/9
Factor 1122*d**4 - 2210*d**4 + 4*d**5 - 8*d**2 + 1096*d**4 - 4*d**3.
4*d**2*(d - 1)*(d + 1)*(d + 2)
Let k(t) = t**3 + 21*t**2 - 99*t + 25. Let f be k(-25). Let b = -9079/8 + 1135. Find i such that 1/8*i**2 - b + f*i = 0.
-1, 1
Let m(g) be the first derivative of 2*g**3/3 + 31*g**2 + 216*g + 2970. Factor m(u).
2*(u + 4)*(u + 27)
Let t = 2897/5282 - 128/2641. Determine a, given that t - a + 1/2*a**2 = 0.
1
Factor -1/3*j**3 - 14652168623/3 - 5987809*j - 2447*j**2.
-(j + 2447)**3/3
Suppose 3*i - 4*k + 28 - 8 = 0, -3*i + 15 = 3*k. Factor -1/4*y**2 + i - 1/4*y**3 + 1/2*y.
-y*(y - 1)*(y + 2)/4
Factor -574592/7 - 2/7*u**2 + 2144/7*u.
-2*(u - 536)**2/7
Let z be 4/(-3) + (-136)/(-12). Suppose -z*m**2 - 7*m**3 - 4*m + 0 - 3/2*m**4 = 0. What is m?
-2, -2/3, 0
Determine k so that 364/5*k + 4/5*k**2 + 712/5 = 0.
-89, -2
Let t(o) = 32*o**2 - 5552*o - 1926538. Let h(q) = 90*q**2 - 16656*q - 5779615. Let c(w) = 6*h(w) - 17*t(w). Factor c(z).
-4*(z + 694)**2
Suppose -34676*s + 34675*s = -5*a + 3, 2*a + s = 25. Find o such that -12*o + 9/4*o**2 - 9 + 9/2*o**3 - 3/4*o**a = 0.
-1, 2, 6
Suppose 4*s + 8 = 13 + 7. Let v(r) be the third derivative of -3/8*r**4 + 0*r - 1/20*r**5 - r**s - 16*r**2 + 0. Suppose v(y) = 0. What is y?
-2, -1
Suppose 5*z = -2*r + 1, z = -0*r - 4*r + 11. Determine s, given that 6 + 141*s**2 + 2*s**r - 68*s**2 - 2*s - 8*s - 71*s**2 = 0.
-3, 1
Let c(j) be the second derivative of j**5/110 + 39*j**4/22 + 1080*j**3/11 - 10800*j**2/11 + 5198*j. Determine u, given that c(u) = 0.
-60, 3
Let i be 5 + 2 - (-5 + ((-208)/(-6))/(190/57)). Let i*m - 4/5*m**3 - 3/10*m**4 + 1/10*m**5 + 6/5*m**2 + 0 = 0. What is m?
-2, -1, 0, 2, 4
Let f(x) be the first derivative of -5*x**4/4 - 170*x**3/3 + 355*x**2/2 - 180*x + 5845. Solve f(u) = 0.
-36, 1
Let p(y) be the second derivative of y**8/56 + 5*y**7/21 + 14*y**6/15 + 8*y**5/15 - 12*y**2 - 92*y. Let l(n) be the first derivative of p(n). Factor l(h).
2*h**2*(h + 4)**2*(3*h + 1)
Factor 9*n + 1456*n**2 - n**4 - 1447*n**2 + 1 - 2 - n**3 + 1.
-n*(n - 3)*(n + 1)*(n + 3)
Find f, given that 5*f**2 + 408 + f**2 - 7*f**2 + 436*f - 29*f = 0.
-1, 408
Let o(b) be the third derivative of b**4/12 - 5*b**3/3 - 360*b**2. Let z be o(6). Factor -2*l + 2 - l**3 + 5/2*l**4 - 15/2*l**z.
(l - 2)*(l + 1)**2*(5*l - 2)/2
Suppose 87/2*n - 112 - 1/4*n**3 + 27/4*n**2 = 0. Calculate n.
-7, 2, 32
Let r = -223743/5 + 44755. What is t in -12/5*t - 4*t**2 + 0 + r*t**3 = 0?
-3/8, 0, 1
Let s(w) be the third derivative of -w**5/140 + 39*w**4/14 + 2*w**2 + 74*w. Factor s(y).
-3*y*(y - 156)/7
Let a be (-4758)/(-208) + (2 + -11)*4*4/192. Factor -a*m + 3/2*m**2 - 45/8.
3*(m - 15)*(4*m + 1)/8
Suppose -49/3*l**2 + 7/3 - 50/3*l + 8/3*l**3 = 0. What is l?
-1, 1/8, 7
Determine s, given that -957*s**3 + 1898*s**3 + 18*s**4 - 20*s**2 + 16*s - 957*s**3 + 2 = 0.
-1, -1/9, 1
Let k(g) be the first derivative of -g**4/10 - 22*g**3/5 - 36*g**2 + 200*g + 2114. Find n such that k(n) = 0.
-25, -10, 2
Find j such that -66/5*j + 3/5*j**2 - 144/5 = 0.
-2, 24
Let k(t) = 3*t - 4. Let y be k(13). Let r be (-2)/(-5) - (-126)/y. Let r + 0 - 14*x + 6*x**2 - 1 + 5 = 0. Calculate x.
1, 4/3
Let y(a) = -a**4 - 13*a**3 + 14*a**2 - 6*a. Let p(l) = 2*l**4 + 14*l**3 - 14*l**2 + 6*l. Suppose -19 - 2 = 7*g. Let v(b) = g*p(b) - 4*y(b). Factor v(s).
-2*s*(s - 3)*(s - 1)**2
Let 5434*b**2 - 8*b - 5436*b**2 - 66*b + 240 = 0. What is b?
-40, 3
Let b(z) be the second derivative of -4*z**7/231 + 109*z**6/33 - 62*z**5/55 - 1643*z**4/66 + 1498*z**3/33 - 272*z**2/11 + 11*z - 51. What is i in b(i) = 0?
-2, 1/4, 1, 136
Let w = -296171/7 - -63376947/1498. Let c = 7/107 - w. Let -35/2*z**3 - 50*z + 20 + 45*z**2 + c*z**4 = 0. Calculate z.
1, 2
Suppose 57*g - 292549 = -292264. Let c be 2 + 1 + 5/(-2). Factor 0 + 0*s - s**4 + 1/2*s**3 + 0*s**2 + c*s**g.
s**3*(s - 1)**2/2
Let d(o) = 15*o**2 + 18*o. Let k be d(-2). Factor 35 - 4*z**2 + 160*z - 2*z**4 + 111 - k - 16*z**3 + 28.
-2*(z - 3)*(z + 1)*(z + 5)**2
Let q be -1 + 1 + 4/(16/140). Suppose 5*a = -2*a + q. Factor 3*v**2 - 13*v**2 - a*v + 5*v**3 + 6*v**4 + 4*v**4.
5*v*(v - 1)*(v + 1