1/9*c**4.
(c - 2)*(c - 1)**2*(c + 2)/9
Let l(q) be the third derivative of 1/64*q**4 + 0*q**3 + 0*q - 1/160*q**5 - 2 + 4*q**2. What is p in l(p) = 0?
0, 1
Let t(h) be the second derivative of -h**6/90 - h**5/5 + h**3/2 + 2*h**2 + 48*h. Let p(s) be the second derivative of t(s). Solve p(x) = 0 for x.
-6, 0
Let v = 10528/2493 + 184/831. Determine d so that 34/9*d**3 - 32/9*d + 8/9*d**4 + 10/3*d**2 - v = 0.
-2, -5/4, 1
Let a = -78 - -88. Suppose 44 = a*m + 14. Determine r so that 17*r**3 + 18*r**3 - r**2 - 33*r**m + 4*r**2 = 0.
-3/2, 0
Let u be (-1 + (-11)/(-8))/(987 - 975). Let z(o) be the third derivative of 3/80*o**5 + 0*o + 0 - u*o**4 - 21*o**2 + 0*o**3. Find d such that z(d) = 0.
0, 1/3
Let g(i) be the third derivative of 0*i - 1/100*i**5 - 22*i**2 + 13/40*i**4 + 0*i**3 + 0. Determine h, given that g(h) = 0.
0, 13
Factor -1912*s - 2045 + 0*s**2 + 137 - 4*s**2.
-4*(s + 1)*(s + 477)
Let b(r) be the second derivative of -7 + 3*r + 1/18*r**4 + 1/9*r**2 + 1/9*r**3 + 1/90*r**5. Determine g so that b(g) = 0.
-1
Factor -71/5*z**3 + 1/10*z**4 - 217/5*z - 29/2 - 216/5*z**2.
(z - 145)*(z + 1)**3/10
Let g(u) be the first derivative of 7/3*u**3 - 1/4*u**4 - 1/5*u**5 + 127 + 6*u + 13/2*u**2. What is n in g(n) = 0?
-2, -1, 3
Suppose 48*r + 16*r - 29*r - 210 = 0. Let b(d) be the first derivative of 4*d**3 + 26 - 15/2*d**2 - 3/4*d**4 + r*d. Factor b(c).
-3*(c - 2)*(c - 1)**2
Suppose 72 = -19*b - 5*b. Let c be (-99)/(-264)*((-31)/(-9) + b). Factor -3/2*m + 0 - c*m**2.
-m*(m + 9)/6
Let o(k) be the third derivative of 5*k**4/12 - 155*k**3/6 + 305*k**2. Let t be o(17). Factor 45/4 - 5/2*c**2 + 5/4*c**4 - 5*c**3 + t*c.
5*(c - 3)**2*(c + 1)**2/4
Let i(y) be the third derivative of -y**6/80 + 13*y**5/5 - 2597*y**4/16 - 2809*y**3/2 - 5*y**2 - 98*y. Factor i(f).
-3*(f - 53)**2*(f + 2)/2
Let b(m) be the first derivative of -93 - 2/21*m**3 + 2/7*m**2 + 16/7*m. Factor b(h).
-2*(h - 4)*(h + 2)/7
Let q = 523277/784929 - -3/261643. Find y such that -q*y**2 - 8/3*y - 2 = 0.
-3, -1
Let z(v) = -4*v**2 + 3*v - 5. Let d = 87 - 91. Let a(x) = -3*x**2 + 4*x - 5. Let p(g) = d*z(g) + 6*a(g). Factor p(c).
-2*(c - 5)*(c - 1)
Let h(l) = -2*l - 16. Let r be h(-9). Let z be ((-3)/3)/(r/(-1 - 21)). Factor z*a**3 + 161*a**3 + 168*a**3 - 250*a - 528*a**2 - 35*a**4 - 247*a**2.
-5*a*(a - 5)**2*(7*a + 2)
Let g(o) be the third derivative of -19*o**2 + 0*o - 4879681/12*o**3 - 2 - 2209/20*o**5 + 103823/12*o**4 - 1/420*o**7 + 47/60*o**6. Factor g(f).
-(f - 47)**4/2
Determine q so that 33/4*q**3 + 18 - 17/2*q + 37/4*q**4 - 109/4*q**2 + 1/4*q**5 = 0.
-36, -2, -1, 1
Suppose x = -4*f + 5*f + 9, -4*x + 30 = 2*f. Factor -5*j**3 - x*j + 13*j**2 - 3*j**2 + 2*j**3 + j**3.
-2*j*(j - 4)*(j - 1)
Let z(c) = -9*c**2 + 2178*c - 1190269. Let k(x) = -11*x**2 + 2177*x - 1190266. Let q(l) = 12*k(l) - 15*z(l). Determine t, given that q(t) = 0.
1091
Let o = 856 - 167. Factor -147*c**2 - 3*c**3 - 1297 - 1524 - 1183*c + 1093 - o*c.
-3*(c + 1)*(c + 24)**2
Let q(n) be the second derivative of 0 - 46*n + 7/40*n**5 - n**2 - 4/3*n**3 - 5/24*n**4. Let q(o) = 0. What is o?
-1, -2/7, 2
Let x(m) be the second derivative of m**8/56 - 13*m**7/735 + m**6/210 - 12*m**2 - 37*m. Let f(w) be the first derivative of x(w). Factor f(o).
2*o**3*(3*o - 1)*(7*o - 2)/7
Suppose 45 = 50*z - 35*z. Solve 6*o**z - 4*o**5 - 189*o**2 - 8*o**4 - 8 + 2*o**3 + 205*o**2 - 4*o = 0 for o.
-2, -1, 1
Let l(n) be the third derivative of -n**7/315 - 17*n**6/180 - 37*n**5/45 + 8*n**4/9 + 128*n**3/3 - 22*n**2 + 20*n. Let l(c) = 0. What is c?
-8, -3, 2
Find t such that 33/5*t**4 - 107/5*t**3 - 4/5*t**5 + 8 - 132/5*t + 34*t**2 = 0.
1, 5/4, 2
Let d be (-4)/(-16)*(-13 - (-29 + (25 - 15))). Determine x so that 78 + 75*x**2 + d*x**3 - 309/2*x = 0.
-52, 1
Determine m so that -316/9*m**2 + 4/9*m**4 + 160/9*m + 0 + 152/9*m**3 = 0.
-40, 0, 1
Let q = -54 + 53. Let n be -1 + (q - (-3 + 0)). Solve 96*s + 2*s**2 + n - 3 - 96*s = 0.
-1, 1
Let c(f) be the second derivative of f**7/630 - f**6/36 - f**5/5 - 3*f**4 - f**3/3 + 5*f. Let k(x) be the third derivative of c(x). Factor k(n).
4*(n - 6)*(n + 1)
Let b be 188/78 + ((-299)/169)/23. Let f(c) be the second derivative of 16/3*c**3 - 5*c - b*c**4 + 0 - 2*c**2. Solve f(z) = 0 for z.
1/7, 1
Let l(y) = -2*y - 1. Let r(v) = 3*v**2 - 103*v - 1076. Let n(t) = -4*l(t) - r(t). Suppose n(d) = 0. What is d?
-8, 45
Let g(v) be the first derivative of 105*v**6/2 - 516*v**5/5 - 306*v**4 - 86*v**3 + 189*v**2/2 + 54*v - 1820. Find o, given that g(o) = 0.
-1, -3/7, -1/3, 2/5, 3
Factor 23/3*i**2 + 41/6*i + 3/2*i**3 + 2/3.
(i + 1)*(i + 4)*(9*i + 1)/6
Factor -70 + 12*p - 1/2*p**2.
-(p - 14)*(p - 10)/2
Suppose 2*n + 75 - 80 = -b, -2*n + 3*n = -3*b. Factor 2*y + 5/3*y**4 - 11/3*y**2 + 0 - 4*y**n.
y*(y - 3)*(y + 1)*(5*y - 2)/3
Let b(s) = 2*s**3 - 20*s**2 + 22*s. Suppose -46 = 79*m + 112. Let f(w) = 3 - 3 + w - w**2. Let u(i) = m*b(i) + 44*f(i). Determine c so that u(c) = 0.
-1, 0
Let q = 83716/5 + -16743. Let d(y) be the first derivative of 1/15*y**3 + q*y**2 - 38 + 0*y. Suppose d(z) = 0. Calculate z.
-2, 0
Let b be 45 + 4305/(-175) + -20. Factor 54/5*h - 28/5 - 24/5*h**2 - b*h**3.
-2*(h - 1)**2*(h + 14)/5
Let t(g) be the first derivative of g**6/90 + g**5/5 - 38*g**3 + 2*g + 62. Let x(a) be the third derivative of t(a). Determine f, given that x(f) = 0.
-6, 0
Suppose 0 = 22*z - 463 + 7349. Let m = z + 313. Factor 5/2*w**2 + m*w + 0*w**3 + 0 - 5/2*w**4.
-5*w**2*(w - 1)*(w + 1)/2
Let b be (360/(-160))/((1/12)/(-1)). Solve 240*w + 0*w**2 + 182 + 5*w**3 + 33*w**2 + b*w**2 + 138 = 0.
-4
Let c = -52 - -54. Factor 14310*d - c*d**4 + 4*d**2 - 14310*d + 2*d**3.
-2*d**2*(d - 2)*(d + 1)
Suppose 3*o + 5*l = 7*l + 25, 0 = -l - 5. Find m such that -217*m**3 + 39*m**2 + 191*m**3 - 3*m**o + 48*m + 5*m**5 - 67*m**2 + 4*m**4 = 0.
-4, -2, 0, 1, 3
Let t(i) be the first derivative of -3*i**6/14 + 12*i**5/5 + 495*i**4/7 + 1550*i**3/7 + 1629*i**2/14 - 162*i + 3528. Determine n, given that t(n) = 0.
-9, -2, -1, 1/3, 21
Let z(r) be the second derivative of -20*r**2 + 1/3*r**4 + 0 - 2*r**3 + 127*r. Factor z(x).
4*(x - 5)*(x + 2)
Factor 4*u**3 + 520491*u + 26816*u + 715716 - 3380*u**2 + 165025*u.
4*(u - 423)**2*(u + 1)
Let b(d) be the second derivative of 9*d**5/5 + 2542*d**4/3 + 120038*d**3 + 159048*d**2 + 202*d - 2. Factor b(r).
4*(r + 141)**2*(9*r + 4)
Let b(h) be the first derivative of -22/7*h**3 + 128 + 1/14*h**4 + 9*h**2 - 62/7*h. Factor b(r).
2*(r - 31)*(r - 1)**2/7
Let l = -5308 + -1517. Let k be l/(-3300) - (0 + 6/(-33)). Find v such that -3/4*v**2 - k - 3*v = 0.
-3, -1
Let h = 2177/510 + -72/17. Let b(u) be the third derivative of 0 + 1/3*u**3 + h*u**5 - 1/6*u**4 + 0*u + 12*u**2. Solve b(n) = 0 for n.
1
Factor -40*b - 48*b**2 + 44 + 533*b**3 + 4*b**4 + 494*b**3 - 987*b**3.
4*(b - 1)**2*(b + 1)*(b + 11)
Suppose -74 = 3*u - 1064. Suppose 0 = -317*p + u*p - 338. Find l such that -p*l - 115/8*l**3 - 1/8*l**5 - 8 - 241/8*l**2 - 19/8*l**4 = 0.
-8, -1
Let a(t) be the first derivative of 2*t**3/3 + 12*t**2 + 64*t + 1067. Factor a(y).
2*(y + 4)*(y + 8)
Find d such that -5*d**2 + 0*d**2 + 142 - 50*d + 7*d**2 + 86 = 0.
6, 19
Let z(q) = -9*q**2 - 7*q - 13. Let p = -4 + 12. Let x(n) = -10 + 143*n**2 - 157*n**2 - 10 - 10*n. Let l(a) = p*z(a) - 5*x(a). Determine i so that l(i) = 0.
-2, -1
Let u(f) be the third derivative of f**6/280 - 271*f**5/70 + 9112*f**4/7 + 73984*f**3/7 - 2*f**2 + 449*f. Let u(d) = 0. Calculate d.
-2, 272
Let u(b) be the second derivative of -3 + 1/2*b**3 - 1/12*b**4 + 2*b**2 + 3*b. Let u(h) = 0. What is h?
-1, 4
Suppose -760 + 106 - 1378 = -508*j. Determine l so that 28/9*l**2 - 2/3 + 10/9*l**5 - 22/9*l**4 + 26/9*l - j*l**3 = 0.
-1, 1/5, 1, 3
Let h be 738/204 + -4 + (-12)/(-24). Let p be (0 - 0 - 0)/(8 - 9). Factor p + h*g**2 + 0*g.
2*g**2/17
Let n(y) be the third derivative of -y**5/20 - 21*y**4 + 2*y**2 - 130. Factor n(j).
-3*j*(j + 168)
Suppose -1 = 5*s - 16. Suppose 70 = -61*v + 66*v. Factor -15*p - 17 + v + s*p**2 + 3.
3*p*(p - 5)
Let s(f) be the third derivative of 5/2*f**3 + 1/32*f**4 - f**2 + 0*f - 74 - 1/80*f**5. Determine x, given that s(x) = 0.
-4, 5
Let j(r) = -r**2 + 14*r - 46. Let i be j(6). Let c(h) be the second derivative of 0 - 1/3*h**4 - 26*h + 0*h**i + 16/3*h**3. Solve c(p) = 0 for p.
0, 8
Let 377/4*f + 0 + 1/4*f**5 - 189/2*f**3 + 