r 24 + 33*v**2 - 50*v**2 - 120*v + v**2 + 12 - 5*v**a.
-3*(v + 6)*(7*v - 2)
Factor 4*g**3 + 327*g**2 - 3197*g**2 + 1123145*g - 182245*g - 1010*g**2.
4*g*(g - 485)**2
Let d(o) be the second derivative of -19/4*o**4 + 21/10*o**5 + 2*o**3 + 6*o**2 + 2*o - 3 - 3/10*o**6. Solve d(t) = 0.
-1/3, 1, 2
Suppose 12 = -5*j + 2. Let d be 612/85 - (4 - j). Let 4/5 + 2/5*a**2 - d*a = 0. Calculate a.
1, 2
Let t(k) be the first derivative of -60 + 0*k - 5/2*k**3 + 7/8*k**4 - 1/12*k**6 - 9/2*k**2 + 3/10*k**5. Suppose t(v) = 0. What is v?
-2, -1, 0, 3
Factor 19005*l**2 - 4*l**3 - 38042*l**2 + 132*l - 68 + 18977*l**2.
-4*(l - 1)**2*(l + 17)
Suppose -3*h + 4*d = h - 624, 0 = -3*h + 4*d + 468. Suppose -h = -u - 5*u. Let -q**2 + 0*q**2 + u + 22*q**2 + 3*q**3 + 1 + 45*q = 0. What is q?
-3, -1
Suppose 0 = -y + 5*a + 45, -8*y = -3*y - 17*a - 153. Let c(n) be the first derivative of 0*n**2 + 1/6*n**3 + 33 - 1/8*n**4 + y*n + 1/40*n**5. Factor c(v).
v**2*(v - 2)**2/8
Let p(n) be the second derivative of 0*n**2 + 3/10*n**5 + 2/35*n**6 - 12/7*n**3 + 8*n - 7 - 4/7*n**4 - 1/49*n**7. What is u in p(u) = 0?
-2, -1, 0, 2, 3
Suppose -74*a + 99*a = 4 - 4. Let i(k) be the first derivative of 8/7*k**2 - 4/3*k**3 + 15 + a*k. Find u such that i(u) = 0.
0, 4/7
Solve -150 - 418/3*t + 34/3*t**2 + 2/3*t**3 = 0 for t.
-25, -1, 9
Let b(a) be the first derivative of a**5/15 - 122*a**3/9 + 121*a/3 - 799. Find o, given that b(o) = 0.
-11, -1, 1, 11
Let 0 - 3/5*m**3 + 81*m + 402/5*m**2 = 0. Calculate m.
-1, 0, 135
Let u(j) be the second derivative of 3*j**5/20 - 25*j**4/4 + 143*j**3/2 + 507*j**2/2 + 3646*j. Suppose u(p) = 0. Calculate p.
-1, 13
Let w(v) be the second derivative of -v**6/6 - 3*v**5/10 + 2*v**4 - 5*v**3/3 - 3*v**2/2 + 21*v + 16. Solve w(c) = 0.
-3, -1/5, 1
Let i(o) be the third derivative of -o**5/90 - 4*o**4/9 + 51*o**2 + 34. Suppose i(h) = 0. Calculate h.
-16, 0
Let i = -439800/113 - -3892. Let n = i + 270/1243. Factor n - 10/11*v + 8/11*v**2.
2*(v - 1)*(4*v - 1)/11
Let s(d) be the third derivative of -d**7/350 - d**6/50 + d**5/20 - d**2 + 297. Factor s(u).
-3*u**2*(u - 1)*(u + 5)/5
What is c in -39832*c**2 + 907 - 85 - 2468*c + 3330*c**4 - 33674*c**3 + 2698 + 350*c**5 - 41730*c**3 + 7604*c = 0?
-20, -2/5, 2/7, 11
Let x(u) be the third derivative of 0*u**3 - 1/480*u**6 + 0*u**5 + 16*u**2 + 0*u + 0*u**4 - 1/840*u**7 + 0. Determine g, given that x(g) = 0.
-1, 0
Let g(r) be the third derivative of 21/4*r**4 - 21/20*r**6 + 0*r - 8*r**2 - 3 - 22*r**5 - 1/70*r**7 + 441/2*r**3. Factor g(n).
-3*(n - 1)*(n + 1)*(n + 21)**2
Let j(z) = -z**2 + z + 1. Let d(u) = -2*u**3 - 6*u - 4. Suppose -61 = 5*q + 9. Let b = -13 - q. Let n(v) = b*d(v) + 4*j(v). Factor n(a).
-2*a*(a + 1)**2
Let c be (351/1170)/(3/20). Factor 4/9*u**c + 8/3*u - 64/9.
4*(u - 2)*(u + 8)/9
Find t, given that -2/9*t**2 + 0 - 790/9*t = 0.
-395, 0
Let b(o) = 16*o**3 - 1315*o**2 - 5243*o - 5197. Let a(m) = 10*m**3 - 877*m**2 - 3495*m - 3465. Let z(i) = -11*a(i) + 7*b(i). Determine q so that z(q) = 0.
-217, -2
Let u be (3/12*(-8)/(-10))/1. Let l = 321/355 + -50/71. Factor -6/5 + l*f + u*f**2.
(f - 2)*(f + 3)/5
Let q(z) = -2*z**3 + 29*z**2 - 10*z - 7. Let d be q(14). Let m be (-4)/(-7) - (-217)/d. Solve 15*h**3 + 136*h**5 + 5*h**2 + 2*h + 15*h**4 - 2*h - 131*h**m = 0.
-1, 0
Let g be ((-15)/(-12))/(-5)*-808. Suppose 40*p**2 + 14*p + g*p**3 - 40 + 14*p - 200*p**3 - 30*p = 0. What is p?
-20, -1, 1
Let a(w) be the third derivative of -w**5/60 - 5*w**4/6 + 7*w**3/2 + 143*w**2. Factor a(m).
-(m - 1)*(m + 21)
Let j(x) be the second derivative of -x**5/60 + x**4/2 - 77*x**3/18 + 10*x**2 - 309*x. Factor j(y).
-(y - 12)*(y - 5)*(y - 1)/3
Let q(y) = 9*y**2 - 819*y - 24838. Let v be q(-24). Let 16/11 + 90/11*t**5 + 20*t**v + 30/11*t**3 - 236/11*t**4 - 120/11*t = 0. Calculate t.
-1, 2/9, 2/5, 1, 2
Let c(t) = -4*t + 102. Let i be c(25). Solve 24*o**2 + 4*o - 5*o**3 - 36*o - o**3 + i*o**3 = 0 for o.
0, 2, 4
Let 110473*u**4 + 14287*u**3 - 121549*u**2 + 765320*u**3 + 2772*u + 198924*u**4 + 104354*u**4 + 27151*u**2 - 24 = 0. What is u?
-2, 2/103, 1/13
Find o, given that -2*o**3 - 26*o - 248/3*o**2 + 164/3 = 0.
-41, -1, 2/3
Let r = 2378 - 2813. Let w = -2106/5 - r. Factor w*q**2 + 3/5*q**3 + 363/5 + 429/5*q.
3*(q + 1)*(q + 11)**2/5
Suppose 6*n - 16*n = 11880. Let l be (-135)/n*(-64)/(-4). Solve l*a**2 - 6/11*a + 0 - 14/11*a**3 = 0.
0, 3/7, 1
Determine q so that 148/21 + 236/21*q**2 + 174/7*q + 2/7*q**3 = 0.
-37, -2, -1/3
Let i(l) be the third derivative of 1/150*l**5 + 0*l**7 + 0*l**4 + 0 + 0*l**3 + 1/1680*l**8 - 43*l**2 + l - 1/200*l**6. Determine t, given that i(t) = 0.
-2, 0, 1
Let g = -674 + 678. Let r(c) be the third derivative of -7/30*c**5 + 0*c**3 + 0 + 15*c**2 - 1/18*c**g + 0*c. What is z in r(z) = 0?
-2/21, 0
Let p(u) = 1 + 5*u**2 - 7*u + 6*u + 4 + u**3. Let x be p(-5). What is w in -60*w**3 + 30*w**3 - 20*w**2 + x*w**5 - 4 + 40*w**3 - 20*w + 25*w**4 - 1 = 0?
-1, -1/2, 1
Let k = 496486/9 - 55164. Let 2/9*o**3 + k*o**2 + 8/9*o + 0 = 0. Calculate o.
-4, -1, 0
Suppose -3*d + 6 = 5*o, -3 = -3*d + 3*o + 3. Let z be d/(-3)*(0 - (-18)/(-4)). Factor 6*y**2 + 1044*y**z - 3 - 1044*y**3 - 3*y**4.
-3*(y - 1)**2*(y + 1)**2
Let u(l) = -5*l**4 - 51*l**3 - 402*l**2 - 1299*l - 1458. Let j(a) = a**4 + a**3 + 2*a**2 + a. Let p(z) = -3*j(z) - u(z). Factor p(v).
2*(v + 3)**2*(v + 9)**2
Let h be (-1 + 3/3)/(-1). Determine n so that 1815*n - 3*n**3 + 45 - 3628*n + 1816*n - 45*n**2 + h*n**3 = 0.
-15, -1, 1
Suppose 49*c = 28*c + 5964. Let v = c - 236. Find z such that 69/2*z**4 - 9/2*z**5 - v*z**2 - 57*z**3 + 48*z + 0 = 0.
-1, 0, 2/3, 4
Let j(h) = h**2 - 2*h - 4. Suppose 25*g - 23*g = 2. Let p(a) = a**2 + 0 + 0*a**2 - 1. Let l(o) = g*j(o) - 4*p(o). Solve l(m) = 0.
-2/3, 0
Suppose 252*t = 158*t + 144*t. Factor 0 + t*k + 8/7*k**2 + 4*k**3.
4*k**2*(7*k + 2)/7
Suppose 0 = -108*m - 184*m + 9951 + 1145. Let w(x) be the third derivative of -1/6*x**4 + m*x**2 + 1/15*x**5 - 4*x**3 + 0*x + 0. Factor w(h).
4*(h - 3)*(h + 2)
Let x = -8/53 - -130/159. Factor -x*l**3 + 0 - 2*l - 7/3*l**2.
-l*(l + 2)*(2*l + 3)/3
Let l = -271 + 281. Factor -20*v + 4*v**2 + 15*v**3 + 18*v**4 + l*v**4 - 38*v**4 - 5*v**5 + 16*v**2.
-5*v*(v - 1)**2*(v + 2)**2
Let o(m) be the first derivative of 160*m - 558*m**2 + 644*m**3 + 49/4*m**4 + 346. Let o(u) = 0. What is u?
-40, 2/7
Let j = 256 + -251. Suppose -j*r = -7 - 13, 3*z + r - 16 = 0. Determine g, given that -3/7*g**z - 1/7*g**2 - 3/7*g**3 + 0 - 1/7*g**5 + 0*g = 0.
-1, 0
Suppose -6*v = -24 + 9 - 3. Let r(t) be the first derivative of 4/3*t**v - 8*t + 8 - 2*t**2. Factor r(c).
4*(c - 2)*(c + 1)
Let o = 115 - 113. Let u(g) = -5*g**2 - 9*g**o + 19*g - 27 - 123*g. Let y(d) = 8*d**2 + 52*d + 14. Let b(k) = 2*u(k) + 5*y(k). Find h such that b(h) = 0.
-4, -1/3
Let v(i) = 31*i**3 - 1161*i**2 + 1124*i + 2260. Let c(a) = 2*a**3 - 3*a**2 + a + 2. Let k(w) = 14*c(w) - v(w). Factor k(d).
-3*(d - 372)*(d - 2)*(d + 1)
Let b(i) be the third derivative of 1/300*i**5 - 3*i + 507/10*i**3 + 15*i**2 + 13/20*i**4 + 0. Factor b(w).
(w + 39)**2/5
Let m(f) be the third derivative of -f**4/8 - 10*f**3/3 + 15*f**2. Let l be m(-7). Factor -12*g - 3 - g**3 - 5*g**5 + 6*g**5 + 3*g**4 - 11*g**2 - l.
(g - 2)*(g + 1)**3*(g + 2)
Let s(p) = 14*p**2 - 48*p - 14. Let v(u) be the first derivative of -2*u**3/3 - u + 86. Let h(b) = s(b) - 6*v(b). Determine r, given that h(r) = 0.
-2/13, 2
Let a = -250149 + 250152. Factor -3*q + 12/5*q**2 + 6/5 - 3/5*q**a.
-3*(q - 2)*(q - 1)**2/5
Let d(u) = -2*u**3 + 3*u - 1. Let t be d(3). Let j = t - -51. Determine a so that 10 + 15*a - 10*a**2 - 20*a**3 - 4*a + j*a**5 + 4*a = 0.
-1, 1, 2
Let s(v) be the first derivative of -v**6/90 + v**4/36 - 23*v + 2. Let g(j) be the first derivative of s(j). Factor g(d).
-d**2*(d - 1)*(d + 1)/3
Let x(r) be the second derivative of -r**5/16 - 105*r**4/16 - 205*r**3/8 - 305*r**2/8 - 3*r - 129. Suppose x(c) = 0. Calculate c.
-61, -1
Let k(q) be the second derivative of q**7/2 + 103*q**6/10 - 591*q**5/10 + 89*q**4 - 36*q**3 - 1358*q. Solve k(l) = 0.
-18, 0, 2/7, 1, 2
Let a(d) be the first derivative of -d**6/30 + 3*d**5/5 - 72*d**3 + 5*d**2/2 + 3*d - 44. Let f(s) be the second derivative of a(s). Factor f(l).
-4*(l - 6)**2*(l + 3)
Factor -2/11*r**2 - 714/11*r - 712/11.
-2*(r + 1)*(r + 356)/11
Let m(p) be the third der