ative of 0*p**2 + a*p + 8 + p**3 + 3/20*p**5 + 3/4*p**4. Factor r(c).
3*c**2*(c + 2)**2/4
Let j(r) be the second derivative of -3*r**5/5 + 139*r**4/18 - 64*r**3/3 + 12*r**2 + 14265*r. Suppose j(x) = 0. What is x?
2/9, 3/2, 6
Let m(f) be the third derivative of f**6/60 + 589*f**5/30 + 1175*f**4/12 + 587*f**3/3 + 5042*f**2. Factor m(g).
2*(g + 1)**2*(g + 587)
Let n(q) be the first derivative of 5*q**6/2 + 5*q**5 - 185*q**4/4 - 145*q**3/3 + 85*q**2 + 120*q - 924. Solve n(x) = 0.
-4, -1, -2/3, 1, 3
Suppose 13 - 33 = -4*b. Find y such that -82*y + 98*y - 8*y**2 + 10*y**4 - 3*y**5 - 7*y**3 - b*y**3 + y**5 = 0.
-1, 0, 2
Let f(z) be the third derivative of 0*z**3 + 0*z + 2/15*z**5 - 1/4*z**4 + 0 - 1/60*z**6 + 5*z**2. Factor f(l).
-2*l*(l - 3)*(l - 1)
Let h(q) be the first derivative of 1/48*q**4 + 19*q - 9/8*q**2 - 1/3*q**3 + 26. Let a(i) be the first derivative of h(i). Factor a(f).
(f - 9)*(f + 1)/4
Let p(g) be the second derivative of -g**4/12 - 34*g**3 - 5202*g**2 + 859*g. Let p(m) = 0. What is m?
-102
What is g in 1/7*g**4 + 0*g + 0 + 19/7*g**3 + 0*g**2 = 0?
-19, 0
Let w(n) be the third derivative of n**8/8400 - n**7/1400 + n**6/720 + 205*n**4/24 - 335*n**2. Let s(a) be the second derivative of w(a). Solve s(v) = 0 for v.
0, 1, 5/4
Let s be 348/(-10) - (-682 - -644). Factor 0*a + 0*a**2 + 4/5*a**5 + 16/5*a**3 + s*a**4 + 0.
4*a**3*(a + 2)**2/5
Suppose -3*p + 1 = 5*y, 4*y - 45*p = -40*p + 23. Factor -3*l + 3/5*l**y + 0.
3*l*(l - 5)/5
Suppose -88*p**2 - 90*p**3 + 86*p**3 - 1568 - 1100*p + 456*p = 0. Calculate p.
-8, -7
Let x = -13922 - -13925. Let p(r) be the second derivative of 0 + 3/40*r**5 - 3/4*r**4 + 3*r**x - 35*r - 6*r**2. Factor p(q).
3*(q - 2)**3/2
Let m(t) be the third derivative of -t**6/24 - t**5/12 + 5*t**4/3 + 10*t**3 - 4944*t**2. Factor m(r).
-5*(r - 3)*(r + 2)**2
Let a(y) be the first derivative of 3*y**4/14 + 726*y**3/7 + 99369*y**2/7 + 196566*y/7 + 4400. Factor a(m).
6*(m + 1)*(m + 181)**2/7
Let a(b) be the third derivative of b**6/420 - 3*b**5/28 + 41*b**4/28 - 8*b**3/3 + 429*b**2 + 4*b. Determine p so that a(p) = 0.
1/2, 8, 14
Let a(b) be the second derivative of b**4/12 - 234*b**3 + 246402*b**2 + 1532*b. Factor a(f).
(f - 702)**2
Suppose 19*i**2 - 20 + 13*i**2 - 21*i + 49*i**2 - 35*i - 5*i**2 = 0. Calculate i.
-5/19, 1
Let s(c) = -2*c**3 + c**2 + 2. Let o(g) be the third derivative of -7*g**6/40 + g**5/10 - g**4/2 + 8*g**3 + 38*g**2. Let r(n) = -o(n) + 12*s(n). Solve r(u) = 0.
-2, 2
Let u = 4091 - 57273/14. Let f(q) be the first derivative of -2/7*q - 25 - u*q**2 + 1/21*q**3. Determine x, given that f(x) = 0.
-1, 2
Let s(m) be the third derivative of -2*m**7/735 + m**6/6 - 96*m**5/35 - 54*m**4/7 - 19*m**2 - 275. Find g such that s(g) = 0.
-1, 0, 18
Let r be (-4525)/9125 - 2/(-4). Let a = 500789/2190 - r. Factor -a*s**5 - 448*s**3 + 352/3*s**2 + 0 - 32/3*s + 1960/3*s**4.
-2*s*(s - 2)*(7*s - 2)**3/3
Let y(q) = 8*q**3 + 7*q**2. Let r = -3 + 7. Suppose -5*k - r = 16. Let l(b) = 9*b**3 + 6*b**2. Let s(z) = k*y(z) + 3*l(z). Solve s(o) = 0.
-2, 0
Let m(l) be the third derivative of 7*l**5/30 + 19*l**4/12 - 8*l**3/3 - 9*l**2 + 3*l. Let j(v) = -28*v**2 - 77*v + 31. Let b(h) = 4*j(h) + 10*m(h). Factor b(a).
4*(a + 3)*(7*a - 3)
Let l(w) = 39*w**2 - w. Let b be l(2). Factor -4*y**5 + 0*y**3 + 4*y**4 + 2*y**5 + 154 - b - 2*y**3.
-2*y**3*(y - 1)**2
Let u(x) = -x**4 - x**3 - 9*x**2 + 7*x + 16. Let o(y) = -5*y**4 - 6*y**3 - 45*y**2 + 35*y + 79. Let r(c) = -6*o(c) + 29*u(c). Let r(n) = 0. What is n?
-5, -2, -1, 1
Let q(i) be the third derivative of -i**6/600 + 3*i**5/50 + 61*i**4/120 + 7*i**3/5 + 4*i**2 + 927. Solve q(r) = 0 for r.
-2, -1, 21
Suppose -40 = 5*h, 2*l + 6*h - 12*h = -4*h + 24. Suppose 6 - 7*r + 3/2*r**2 + 3/4*r**3 - 1/4*r**l = 0. Calculate r.
-3, 2
Let z(a) be the second derivative of -1/70*a**5 - 4/105*a**6 - 15 + 0*a**3 + 0*a**2 + 1/14*a**4 + 3*a. Factor z(c).
-2*c**2*(c + 1)*(4*c - 3)/7
Let i(o) = 7*o**3 - 2*o**2 + 3*o. Let j(z) = 2*z**3 - z**2 + z. Suppose -2 = 2*l - 26. Suppose 2*c - l = -14. Let y(m) = c*i(m) + 4*j(m). Factor y(t).
t*(t - 1)**2
Let a = 396214 - 396214. Factor -6*q + a + 1/2*q**2.
q*(q - 12)/2
Let u(d) be the first derivative of 10*d**3/63 + 103*d**2/21 + 736*d/21 + 5254. Factor u(v).
2*(v + 16)*(5*v + 23)/21
Let t = -3/338 - -1029/1690. Let l(n) be the second derivative of -2*n - t*n**2 + 0 + 1/2*n**3 - 3/20*n**4. Factor l(p).
-3*(p - 1)*(3*p - 2)/5
Let y(k) be the first derivative of -3/4*k**3 + 3/8*k**4 - 110 + 3*k - 1/2*k**2 - 1/20*k**5. Find q, given that y(q) = 0.
-1, 2, 3
Let c(u) be the first derivative of 2*u**5/5 - 44*u**4 - 188*u**3/3 + 448*u**2 - 534*u + 3268. What is x in c(x) = 0?
-3, 1, 89
Suppose -3*k - 12*q + 8*q + 10 = 0, -3*q = -3. Suppose 0 = x - 2. Factor 10*g**x + 40*g - 28*g + 0 + k*g**3 + 0.
2*g*(g + 2)*(g + 3)
Find c, given that -3*c**2 + 0*c + 0 + 3/8*c**3 = 0.
0, 8
Let f(z) be the first derivative of -z**5/20 - z**4/16 + 5*z**3/6 - z**2 + 975. Factor f(u).
-u*(u - 2)*(u - 1)*(u + 4)/4
Let i(m) be the first derivative of -2*m**3/3 - 45*m**2 - 595. Find w such that i(w) = 0.
-45, 0
Let w = 88286/3 - 29826. Let k = -396 - w. Factor 0*d - 1/3*d**2 + k.
-(d - 2)*(d + 2)/3
Let s(r) = -8*r**2 + 20*r - 16. Let v(y) = y**2 - 2. Let n(p) = -p**2 - 9*p + 4. Let i be n(-9). Let h(g) = i*v(g) + s(g). Factor h(m).
-4*(m - 3)*(m - 2)
Suppose 31*h = 76*h - 30*h. Let o(z) be the second derivative of 1/72*z**4 + h + 31*z - 1/12*z**3 + 1/6*z**2. Factor o(q).
(q - 2)*(q - 1)/6
Let t be ((21 - 23) + 2 + -2)*112/(-44). Determine k, given that -54/11 - 2/11*k**2 - t*k = 0.
-27, -1
Suppose d + 1493 = 5*v - d, 4*v - 5*d = 1208. Suppose 0 = -v*l + 304*l - 21. Factor -9/7*j - 9/7*j**l - 24/7*j**2 + 6/7.
-3*(j + 1)*(j + 2)*(3*j - 1)/7
Let h(f) be the second derivative of f**5/15 - 55*f**4/36 - 7*f**3/9 + 361*f. Factor h(n).
n*(n - 14)*(4*n + 1)/3
Let p(o) be the second derivative of o**6/36 - 23*o**5/48 - 5*o**4/8 + 35*o**3/6 + 20*o. Let y(k) be the second derivative of p(k). Factor y(i).
5*(i - 6)*(4*i + 1)/2
Let o be 8/(-6) - -4 - 6/9. Suppose o*z + 3*z = -4*a + 26, 0 = -3*z + 3*a - 6. What is w in 248*w**z + w**3 - 251*w**2 + 2*w**3 = 0?
0, 1
Let i(a) be the second derivative of 413*a**4/16 - 375*a**3/8 + 27*a**2/4 + 2183*a. What is z in i(z) = 0?
3/59, 6/7
Suppose -1480*a = -1476*a + 72. Let r be (31/(-155) - a/(-10)) + 2. Factor 2/3*o**2 + r*o - 8/3.
2*(o - 2)*(o + 2)/3
Let o(h) = -2*h**2 + h - 4. Let q(p) = -3*p**2 + 32*p - 39. Let g(m) = 3*m - 90. Let k be g(28). Let a(t) = k*o(t) + 3*q(t). Solve a(b) = 0.
-31, 1
Let h = 16398 - 16387. Let u(i) be the third derivative of -1/60*i**5 + 0 - 3/2*i**3 + 0*i - h*i**2 - 1/4*i**4. Find q such that u(q) = 0.
-3
Let m(o) = -1643 + 824 - 2*o**3 + 46*o + 24*o**2 + 829. Let g(h) = -h**2 + h + 1. Let l(y) = -10*g(y) + m(y). Factor l(w).
-2*w*(w - 18)*(w + 1)
Let -53*u**2 - 58*u**2 - 84*u**2 - 1170*u - 2352 + 198*u**2 = 0. Calculate u.
-2, 392
Let -800/3 + 3188/3*i**3 - 20/3*i**5 + 312*i**4 - 1328*i + 680/3*i**2 = 0. Calculate i.
-2, -1/5, 1, 50
Determine t, given that 189/4*t**2 - 159/8*t - 33/4 + 3/2*t**4 - 165/8*t**3 = 0.
-1/4, 1, 2, 11
Factor -44090 + 1440*t**2 - 2*t**3 - 2*t**3 - 69084 - 148914 - 128148*t.
-4*(t - 181)**2*(t + 2)
Let y(f) = 8*f**3 + 294*f**2 + 16218*f + 281210. Let g(m) = -17*m**3 - 585*m**2 - 32435*m - 562419. Let z(h) = 6*g(h) + 13*y(h). Find t such that z(t) = 0.
-52
Factor -23/2*d - 8/3*d**2 - 9 - 1/6*d**3.
-(d + 1)*(d + 6)*(d + 9)/6
Let x(c) be the second derivative of -c**5/4 + 10*c**4 + 50*c**3 - 520*c**2 + 6*c - 26. Factor x(k).
-5*(k - 26)*(k - 2)*(k + 4)
Suppose -516 + 538 = s. Let n be s/4 - -11*35/(-77). Factor 1/4*p**5 - n*p**2 + 3/4*p + 1/2 + 0*p**4 - p**3.
(p - 2)*(p - 1)*(p + 1)**3/4
Suppose 47948*z - 1550 - 21806*z - 25*z**2 - 22257*z = 0. Calculate z.
2/5, 155
Factor -1880/3*l + 2/3*l**2 + 441800/3.
2*(l - 470)**2/3
Factor -14105 + 2533*i**2 + 5041 + 1864*i**3 + 22112*i - 5656 - 13621*i**2 - 4*i**4.
-4*(i - 460)*(i - 2)**3
Let u = 2491627/300 - 24913/3. Let l = u - 21/25. Factor 3/2*y**3 + l*y**5 - 3/4 + 5/4*y**4 - 1/2*y**2 - 7/4*y.
(y - 1)*(y + 1)**3*(y + 3)/4
Factor 325/3*t - 326/3*t**2 + 0 + 1/3*t**3.
t*(t - 325)*(t - 1)/3
Factor -335758 - 664445 - c**2 - 213666 + 2130*c + 56108 + 23536.
-(c - 1065)**2
Let l(v) = 15 + 6 +