/8 + 18*k**3 - 1178*k**2. Solve m(l) = 0.
-1, -3/5, 12
Let z = 325 - 354. Let s(p) = -p**3 - 31*p**2 - 56*p + 62. Let n be s(z). Solve 2/15*d**n - 2/15*d**2 + 0 - 2/15*d**5 + 0*d + 2/15*d**3 = 0.
-1, 0, 1
Let b be (2/30)/(13/91*21). Let p(l) be the third derivative of -11*l**2 - 1/180*l**6 + 2/9*l**3 + 0 + 0*l - b*l**5 + 1/36*l**4. Factor p(h).
-2*(h - 1)*(h + 1)*(h + 2)/3
Let j(r) = r + 8. Let n(v) = v + 1. Let k(a) = 2*j(a) - 4*n(a). Let c be k(0). Factor 0*m - 8 + 17*m + 2*m + m + c*m**2.
4*(m + 2)*(3*m - 1)
Let l(h) be the first derivative of -7*h**6/30 + 29*h**5/5 - 91*h**4/20 - 37*h**3/3 + 49*h**2/5 + 8*h - 1414. Let l(z) = 0. Calculate z.
-1, -2/7, 1, 20
Find j such that -4*j**2 + 9/2*j**3 + 1/4*j**5 + 0 + 5/4*j - 2*j**4 = 0.
0, 1, 5
Let w = -135 - -147. Let q be (((-12)/15)/(-1))/(w/10). Factor q*f**2 - 2/3 + 0*f.
2*(f - 1)*(f + 1)/3
Let i(v) = 15*v**5 - 525*v**4 - 1083*v**3 + 27*v**2 - 216*v. Let d(s) = 4*s**5 - 131*s**4 - 271*s**3 + 7*s**2 - 56*s. Let z(y) = -27*d(y) + 7*i(y). Factor z(c).
-3*c**3*(c + 2)*(c + 44)
Let i be (-2906)/(-336) - 9788/(-548128). Factor 0 + 14/3*d**3 - i*d - 11/3*d**2 - 1/3*d**4.
-d*(d - 13)*(d - 2)*(d + 1)/3
Let x(i) be the second derivative of -i**5/15 + 20*i**4/9 - 200*i**3/9 - 3710*i. Find w such that x(w) = 0.
0, 10
Let z be (-5 - (3 + -4))/(-10 - -8). Let g(k) be the first derivative of -16/3*k**3 + 12 + k**4 - 8*k + 10*k**z. Solve g(i) = 0 for i.
1, 2
Let q be (-18)/3 - -10 - (0 - 1). Let m = 0 - -2. Factor 0*t**3 - 6*t**3 + 50*t**m - q*t**3 + 40*t - 4*t**3.
-5*t*(t - 4)*(3*t + 2)
Suppose 0 = 8*k + 6*k - 28. Factor -5*j**3 - 15 - 80 - 38*j**2 - 200*j - 145 - 17*j**k.
-5*(j + 3)*(j + 4)**2
Let r(u) be the first derivative of -u**5/240 + 29*u**4/96 + 5*u**3/4 - 89*u**2 - 288. Let s(y) be the second derivative of r(y). Factor s(j).
-(j - 30)*(j + 1)/4
Let u = -1/2294 + 16073/34410. Let t(v) be the second derivative of 2/45*v**6 + 0*v**2 + 4*v + 16/9*v**4 + 0 + 8/3*v**3 + u*v**5. Factor t(o).
4*o*(o + 2)**2*(o + 3)/3
Let a be 3*(-4)/(-6)*(-147)/14. Let x = a + 42. Factor -8*d + 5*d**3 - 4*d**4 - 26*d**2 - x*d**3 + 6*d**2.
-4*d*(d + 1)**2*(d + 2)
Let d(w) be the second derivative of -9*w**7/14 + 6*w**6 + 321*w**5/20 - 45*w**4/2 + 8*w**3 + 215*w - 1. Determine f, given that d(f) = 0.
-2, 0, 1/3, 8
Let n = -110946 + 110948. Factor 0 + 4/5*o**3 + 0*o**n + 0*o + o**4 + 1/5*o**5.
o**3*(o + 1)*(o + 4)/5
Let c(p) = 9*p**4 + 45*p**3 + 100*p**2 + 52*p. Let b(h) = 80*h**4 + 405*h**3 + 900*h**2 + 470*h. Let g(w) = 4*b(w) - 35*c(w). Suppose g(t) = 0. Calculate t.
-6, -2, -1, 0
Let f = 145 + -142. Let q(a) be the second derivative of 8*a + 1/10*a**6 + 1/4*a**4 - 9/20*a**5 + 0 - 3*a**2 + 3/2*a**f. Suppose q(n) = 0. What is n?
-1, 1, 2
Suppose -2*g = -5*a + 19, -3*g + 10*g + 14 = 0. Let d(f) be the second derivative of -10*f + f**2 + 0 + 1/6*f**4 + 2/3*f**a. Find t such that d(t) = 0.
-1
Let p(q) = -3*q + 38. Let k be p(12). Let w(a) be the second derivative of 1/18*a**4 - 2*a - 2/3*a**k + 0 - 1/9*a**3. Suppose w(v) = 0. What is v?
-1, 2
Let u(z) be the third derivative of -7*z**6/30 - 1052*z**5/15 + 757*z**4/6 + 604*z**3/3 - 3*z**2 + 1585. What is w in u(w) = 0?
-151, -2/7, 1
Factor 1404*s + 868*s**2 + 3888 + 1140*s**2 - 1888*s**2 + 3*s**3.
3*(s + 4)*(s + 18)**2
Let t(i) = -5*i**3 + 39*i**2 - 142*i + 100. Let p(l) = -17*l**3 + 111*l**2 - 424*l + 302. Let b(v) = -6*p(v) + 21*t(v). Factor b(d).
-3*(d - 48)*(d - 2)*(d - 1)
Let r = 1 - 1. Let h be 3 + 2704/(-912) + (-246)/(-2736). Factor -1/8 + r*a**3 + 1/4*a**2 + 0*a - h*a**4.
-(a - 1)**2*(a + 1)**2/8
Let a(n) be the third derivative of n**8/72 - 1231*n**7/1260 - 37*n**6/360 + 1319*n**5/360 + 23*n**4/72 - 22*n**3/9 - 20*n**2 - 58*n. Let a(q) = 0. What is q?
-1, -2/7, 1/4, 1, 44
Let h(k) = -11*k**3 - 51*k**2 - 66*k + 236. Let y(u) = -30*u**3 - 147*u**2 - 198*u + 707. Let i(j) = 33*h(j) - 12*y(j). Solve i(o) = 0 for o.
-4, 2, 29
Factor 121/3*d**5 + 0*d + 0 - 196*d**2 - 671/3*d**4 + 1120/3*d**3.
d**2*(d - 3)*(11*d - 14)**2/3
Find s, given that 0*s**2 - 2/11*s**5 + 0 + 0*s**3 + 0*s + 122/11*s**4 = 0.
0, 61
Factor -1088*q**2 + 106*q - 1096*q**2 + 2186*q**2 + 392.
2*(q + 4)*(q + 49)
Let o be 18 - 73/((-511)/(-112)). What is a in -5/3*a**5 + 0*a**4 + 0 + 10/3*a**o + 5*a**3 + 0*a = 0?
-1, 0, 2
What is c in 71*c**3 - 7690*c - 47 + 50*c**4 + 91 + 128 + 6042*c**2 + 4299*c**3 + 9584*c = 0?
-86, -1, -1/5
Let x(a) be the first derivative of 5*a**5 - 215*a**4/2 - 835*a**3/3 - 190*a**2 + 3216. Suppose x(h) = 0. What is h?
-1, -4/5, 0, 19
Let v(r) be the second derivative of 0*r**3 + 4/15*r**6 - 12 + 0*r**4 + 0*r**2 + 3*r - 1/42*r**7 - 7/20*r**5. Factor v(n).
-n**3*(n - 7)*(n - 1)
Let q be ((-156)/(-56) - 125/(-175))*3. Factor -q + 9*g + 3/2*g**2.
3*(g - 1)*(g + 7)/2
Suppose -1500 = -500*n + 1483 - 483. Suppose 1/2*u**2 + 1/4*u**n - 1/2 + 3/4*u + 0*u**4 - u**3 = 0. What is u?
-2, -1, 1
Let v(h) = -h**3 + 90*h**2 + 1112*h + 15. Let a be v(-11). Determine n, given that 0 + 3/8*n - 3/8*n**2 + 3/8*n**a - 3/8*n**3 = 0.
-1, 0, 1
Let z(m) = -m**3 - 21*m**2 - 19*m + 23. Let f be z(-20). Factor 0*w**4 - 2*w**4 + 0*w**f - w**2 - 21*w**2 + 10*w + 14*w**3.
-2*w*(w - 5)*(w - 1)**2
Let o = 2078 - 825. Let f = 1256 - o. Factor 4/17*p**2 - 2/17*p + 0 - 2/17*p**f.
-2*p*(p - 1)**2/17
Let m(y) be the second derivative of y**5/8 - 565*y**4/8 - 1135*y**3/4 - 1705*y**2/4 - y + 123. Factor m(n).
5*(n - 341)*(n + 1)**2/2
Let r = -4333 + 4333. Let f(c) be the second derivative of r + 0*c**4 - 1/15*c**6 - 2/5*c**5 + 0*c**3 + 0*c**2 + 17*c. Solve f(j) = 0 for j.
-4, 0
Let q(m) be the third derivative of 0*m - 1/60*m**5 + 135*m**2 + 0 + 3/2*m**3 + 0*m**4. Determine u, given that q(u) = 0.
-3, 3
Let v(r) be the second derivative of 1/300*r**5 - 8*r + 0 + 5/6*r**3 + 1/12*r**4 + 19/2*r**2. Let p(b) be the first derivative of v(b). What is n in p(n) = 0?
-5
Let b(k) be the third derivative of k**7/3024 - 11*k**6/864 + 49*k**4/24 + 134*k**2. Let u(t) be the second derivative of b(t). Determine l so that u(l) = 0.
0, 11
Factor -5*p**3 - 522 + 3721*p - 271*p**2 - 1983 - 986*p - 159*p**2 + 205.
-5*(p - 5)*(p - 1)*(p + 92)
Determine s, given that -2/7*s**5 + 0*s + 100/7*s**4 - 1144/7*s**3 + 0 - 2704/7*s**2 = 0.
-2, 0, 26
Let n be ((-15 + 25)/(-5))/(2/(-2)). Let o(q) = 53*q - 103. Let f be o(n). Factor -243/5*i + 27/5*i**2 + 729/5 - 1/5*i**f.
-(i - 9)**3/5
Let p be ((-1)/(-3 + 9))/(217/21 + -12). Let b(k) be the third derivative of 0*k + 0 - 1/50*k**5 - 24*k**2 - 1/5*k**3 + p*k**4. What is j in b(j) = 0?
1
Let j = 1190181/4 + -297545. Factor 13/2*n + 0 - j*n**4 - 11/4*n**2 - 7/2*n**3.
-n*(n - 1)*(n + 2)*(n + 13)/4
Let u be 1 - 14 - 6 - (-754)/39. Factor 4*t + 0*t**2 + 16/3 - u*t**3.
-(t - 4)*(t + 2)**2/3
Let l(b) be the third derivative of b**5/75 - 5*b**4/6 + 308*b**3/15 + 3*b**2 + 220*b. Factor l(m).
4*(m - 14)*(m - 11)/5
Let r be (102/(-21))/(4/(-28)). Let g = r + -27. Solve -11*b + 3*b - 19*b**2 + g*b**2 = 0.
-2/3, 0
Let v be 5/3*(0 - 72/(-40)). Let p be (-645)/(-75) - 1/(v/15). Factor -2/5*i**2 - p - 12/5*i.
-2*(i + 3)**2/5
Let s(x) be the first derivative of 49*x**5/5 + 2485*x**4/2 + 124597*x**3/3 - 36210*x**2 + 10404*x + 4278. Suppose s(y) = 0. What is y?
-51, 2/7
Let d = 20853/20871115 + -1/9305. Let t = d - -8962/11215. Let -2/5*u + 1/10*u**3 + 1/10*u**5 + 2/5*u**4 + t - u**2 = 0. What is u?
-2, 1
Suppose -15*y = 16*y - 31. Let g be 8*y + 5031/(-702). Factor -35/6 - 5*s + g*s**2.
5*(s - 7)*(s + 1)/6
Determine c so that -243*c**3 + 1670*c**5 - 87*c**4 - 27 - 237*c**2 + 27 - 1673*c**5 - 78*c = 0.
-26, -1, 0
Let u(l) = -195 + 4*l**2 - 99 - 8*l + 8 - 3*l**2 - l. Let i be u(22). Find h, given that i*h + 0 + 2/19*h**2 = 0.
0
Let i(z) be the second derivative of 223*z + 1/150*z**6 + 18/5*z**2 + 0 + 1/50*z**5 - 2/5*z**3 - 11/60*z**4. Factor i(p).
(p - 2)**2*(p + 3)**2/5
Let o be 505/(-8585) + (-689064)/(-918) + -3. Factor -2/9*f**2 - o - 232/9*f.
-2*(f + 58)**2/9
Let v = 112838/15 + -225511/30. Find u such that -23/4*u - 1/4*u**2 - v = 0.
-22, -1
Suppose -2*h + 247 - 239 = -2*r, 4*r - 8 = -4*h. Determine x so that 40/3 + 30*x**4 - 25/3*x**5 - 130/3*x**2 - 35/3*x**h + 20*x = 0.
-1, -2/5, 1, 2
Let l(r) = 65*r**4 + 170*r**3 + 20*r**2 - 95*r. Let f(i) = 33*i**4 + 85*i**3 + 11*i**2 - 47*i. Let q(y) = -5*f(y) + 3*l(y). Determi