**4 - 3*o**s + 2*o**4.
-3*o**3*(o + 1)*(2*o + 1)
Let z(i) be the first derivative of 38*i**3/39 + i**2 - 12*i/13 - 288. Find m, given that z(m) = 0.
-1, 6/19
Suppose 2142 - 2142 = -8*b. Let g(s) be the third derivative of 1/56*s**4 + b*s**5 - 11*s**2 - 1/21*s**3 - 1/840*s**6 + 0 + 0*s. Factor g(i).
-(i - 1)**2*(i + 2)/7
Let -26/3*m + 20 - 32/3*m**2 - 2/3*m**3 = 0. What is m?
-15, -2, 1
Let v(q) be the first derivative of -2*q**3 + 47*q**2 + 32*q + 99. Solve v(x) = 0 for x.
-1/3, 16
Let c(g) = -g**2 - 8*g - 8. Let a be c(-6). Let -9*w**3 + 15*w**2 + 5*w**a + 3*w + 2*w + 24*w**3 = 0. What is w?
-1, 0
Let a(w) be the third derivative of w**6/30 - 4*w**5/15 + 105*w**2. What is v in a(v) = 0?
0, 4
Suppose 0 = -2*y - 22 + 32. Find a, given that -1/4*a - 1/4*a**y + 3/4*a**4 + 3/4 + 1/2*a**3 - 3/2*a**2 = 0.
-1, 1, 3
Let u = -11 + 11. Let y(g) = 9*g**2 - 57*g + 18. Let n be y(6). Determine c so that u*c - 2/13*c**2 + n - 2/13*c**3 = 0.
-1, 0
Let t(f) = 13 + 31*f - 9*f**3 - 15*f**2 - 52*f + 32*f. Let h = 1 + -2. Let c(p) = p - 1. Let m(z) = h*c(z) - t(z). Factor m(s).
3*(s - 1)*(s + 2)*(3*s + 2)
Let f be (2 - 2) + (-5540)/(-24525). Let a = f + -2/545. What is m in -a*m**2 - 2/9*m + 0 = 0?
-1, 0
Let u(c) be the first derivative of -c**4/7 + 80*c**3/21 + 86*c**2/7 + 88*c/7 - 99. Factor u(q).
-4*(q - 22)*(q + 1)**2/7
Let o(u) be the second derivative of 1/8*u**4 + 3/20*u**5 - u**3 + 1/2*u**2 - 3*u + 0. Let z(j) be the first derivative of o(j). Solve z(q) = 0.
-1, 2/3
What is o in -3/2*o**2 + 21*o + 48 = 0?
-2, 16
Let i = 44 + -27. Let c be i/(-119) - (-1)/7. Factor 1/2*l**2 + 0*l + c.
l**2/2
Let n(d) be the third derivative of -d**8/1176 - d**7/105 + 17*d**6/420 - 3*d**5/70 - 2*d**2 + 107. Factor n(l).
-2*l**2*(l - 1)**2*(l + 9)/7
Let m be (-60)/(-14) - (3200/704 - (-12)/(-22)). Factor 4/7 + 2/7*a**3 - 10/7*a - m*a**4 + 6/7*a**2.
-2*(a - 1)**3*(a + 2)/7
Let s(x) be the first derivative of -3*x**4/28 - 3*x**3/7 + 15*x**2/7 + 72*x/7 + 439. Factor s(g).
-3*(g - 3)*(g + 2)*(g + 4)/7
Let k(p) = -p**3 - p**2 + 1. Let u(i) = -25*i**3 + 5*i**2 + 110*i + 100. Let r(s) = -20*k(s) + u(s). Find q, given that r(q) = 0.
-2, -1, 8
Let h(y) be the first derivative of -3*y**5/25 + 9*y**4/10 - 9*y**3/5 + 6*y**2/5 + 261. Factor h(q).
-3*q*(q - 4)*(q - 1)**2/5
Let z = 56 - 57. Let q be -15 - -19 - (0 - z). Factor 0 + 1/5*j - 1/5*j**q + 0*j**2.
-j*(j - 1)*(j + 1)/5
Let j(y) = y**3 + y + 6. Let k = -42 - -46. Let d(m) = m**3 + m**2 + 2*m + 5. Let s(p) = k*d(p) - 3*j(p). Determine h, given that s(h) = 0.
-2, -1
Let g(i) = -17*i - 289. Let b be g(-17). Factor 8/17*m**4 - 2/17*m**2 + 6/17*m**3 + b + 0*m.
2*m**2*(m + 1)*(4*m - 1)/17
Let t(r) be the first derivative of 15 + 2/33*r**3 + 18/11*r**2 + 162/11*r. What is h in t(h) = 0?
-9
Let x be 0*((-55)/5 - -10). Let v(d) be the second derivative of 1/24*d**4 - 1/120*d**6 + x*d**3 - 1/8*d**2 + 0 + 0*d**5 - 2*d. Factor v(p).
-(p - 1)**2*(p + 1)**2/4
Let u(t) be the second derivative of 1/24*t**4 + 0*t**3 + 1/80*t**5 + 14*t + 0*t**2 + 0. Determine x, given that u(x) = 0.
-2, 0
Let m(x) = 14*x**3 - x**2 + 2*x. Let z be m(1). Solve 8*q**2 + 21*q**3 - 29*q - z*q - 16*q**3 + 39*q**3 - 8 = 0 for q.
-1, -2/11, 1
Let y(h) be the third derivative of h**6/200 + 13*h**5/100 + h**4 + 18*h**3/5 + h**2 - 86. Factor y(i).
3*(i + 2)**2*(i + 9)/5
Suppose -1196 = -7*p - 1182. Solve -7/4*g**4 + p*g - 13/2*g**3 + 0 - 5*g**2 = 0 for g.
-2, 0, 2/7
Solve 5*z**2 + 0 + 2/3*z**4 - 23/6*z**3 + 3/2*z = 0.
-1/4, 0, 3
Factor -14*w**2 - 216*w + 36*w**2 + 42*w**2 + 0*w**2 + 2*w**2 + 14*w**3 + 56.
2*(w - 2)*(w + 7)*(7*w - 2)
Let n(z) be the third derivative of z**5/120 + 5*z**4/48 + 8*z**2 + 14. Factor n(h).
h*(h + 5)/2
Let t = 33131 - 231915/7. Factor 56 + 8*v + t*v**2.
2*(v + 14)**2/7
Solve -4*c**2 - 44*c - 64 - 92 + c**2 + 44 - c**2 = 0 for c.
-7, -4
Let j(y) be the third derivative of y**5/48 - 5*y**4/32 - 5*y**3/6 - y**2 + 12*y. Find h such that j(h) = 0.
-1, 4
Let b(p) = -p**2 - 13*p - 11. Let z be b(-11). Factor 8 + 4*k - 3*k + 8*k + 12*k**2 + z*k.
4*(k + 1)*(3*k + 2)
Let f(j) be the second derivative of -j**6/12 - j**5/8 - j + 18. Determine y so that f(y) = 0.
-1, 0
Let o(a) be the first derivative of -a**6/57 - 12*a**5/95 - 11*a**4/38 - 4*a**3/19 + 247. Suppose o(q) = 0. What is q?
-3, -2, -1, 0
Let p(h) be the second derivative of h**5/50 + h**4/15 - 7*h**3/15 + 4*h**2/5 - 7*h + 6. Find r such that p(r) = 0.
-4, 1
Let i(l) = 3*l**2 - 57*l - 84. Let j(a) = -7*a**2 + 118*a + 168. Let z(o) = -13*i(o) - 6*j(o). Find n such that z(n) = 0.
-7, -4
Factor -2/3*k**2 + 4/3*k + 0.
-2*k*(k - 2)/3
Let c(f) be the first derivative of -f**6/30 + f**5/10 - 3*f**4/32 + f**2/2 + 9. Let x(s) be the second derivative of c(s). Suppose x(t) = 0. Calculate t.
0, 3/4
Factor 1520875/6 + 1/6*t**3 + 13225/2*t + 115/2*t**2.
(t + 115)**3/6
Suppose -v = -3*v + 4. Suppose -10 = v*z - 14. Factor -1/2*r**3 + 3/2*r + 1 + 0*r**z.
-(r - 2)*(r + 1)**2/2
Let z(i) = -7*i**4 + i**3 + 3*i**2 - 6*i - 3. Let d(o) = -2*o**4 + o**2 - 2*o - 1. Let n(x) = 3*d(x) - z(x). What is h in n(h) = 0?
0, 1
Let n(y) = -y**4 + 2*y**3 + y**2 + 2. Let j(s) = -8*s**3 - 4*s**2 - 8. Let d(h) = -j(h) - 4*n(h). Suppose d(r) = 0. What is r?
0
Let m(o) be the third derivative of o**5/12 - 5*o**4/8 - 10*o**3/3 - 45*o**2 - 4. Determine r so that m(r) = 0.
-1, 4
Let u(l) be the second derivative of -l**5/24 + 205*l**4/12 - 8405*l**3/3 + 689210*l**2/3 + 51*l + 3. Solve u(k) = 0 for k.
82
Let h = -198 - -1388/7. Let g = -1/903 - -2581/903. Factor -h - 32/7*f**4 - 66/7*f**2 + 80/7*f**3 + g*f.
-2*(f - 1)**2*(4*f - 1)**2/7
Factor 29/4*u**2 + 0 - 841/8*u - 1/8*u**3.
-u*(u - 29)**2/8
Let a(f) be the first derivative of -2*f**6/21 - 27*f**5/35 - 5*f**4/2 - 29*f**3/7 - 26*f**2/7 - 12*f/7 + 196. Solve a(r) = 0.
-2, -1, -3/4
Let z(p) be the first derivative of -3*p**5/5 + 14*p**4/3 - 14*p**3/3 - 8*p**2 - 14*p - 19. Let l(b) be the first derivative of z(b). Factor l(u).
-4*(u - 4)*(u - 1)*(3*u + 1)
Let z(p) be the second derivative of -5*p**5/8 + 95*p**4/24 + 47*p**3/4 + 45*p**2/4 - 20*p. Find w, given that z(w) = 0.
-3/5, 5
Let o(w) be the second derivative of 4*w - 1/3*w**4 + 0 + 1/15*w**5 - 1/180*w**6 + 11/6*w**3 + 0*w**2. Let h(l) be the second derivative of o(l). Factor h(x).
-2*(x - 2)**2
Let q(a) = 8*a**3 + 928*a**2 - 934*a + 228. Let u(l) = -1. Let y(d) = -q(d) + 6*u(d). Factor y(r).
-2*(r + 117)*(2*r - 1)**2
Let y(w) = 2*w**2 - w + 1. Let l(x) = 3*x**4 + 4*x**3 - 9*x**2 + 5*x - 5. Let c(b) = l(b) + 5*y(b). What is v in c(v) = 0?
-1, -1/3, 0
Let s(h) be the third derivative of h**5/20 + h**4/24 - h**3/6 + 12*h**2. Let n be s(1). Solve -4/3*u**n + 0 + 0*u + 2*u**2 + 2/9*u**4 = 0.
0, 3
Let t(n) be the second derivative of n**4/96 + 13*n**3/24 + 169*n**2/16 - 241*n. What is w in t(w) = 0?
-13
Let l(h) be the first derivative of -105*h**4/8 - 103*h**3/2 + 219*h**2/2 - 12*h + 332. Solve l(z) = 0 for z.
-4, 2/35, 1
Let r(s) be the second derivative of s**7/252 - s**5/20 - s**4/9 - s**3/12 - 21*s. Factor r(i).
i*(i - 3)*(i + 1)**3/6
Suppose -39*n = -59*n. Let g(i) be the third derivative of 0*i**5 + 0 + 1/490*i**7 + 0*i + 0*i**4 + 0*i**6 + n*i**3 + 9*i**2. Factor g(a).
3*a**4/7
Let i = -1802/25 + 5806/75. Factor 6*t**2 + i + 44/3*t.
2*(t + 2)*(9*t + 4)/3
Let l(z) be the second derivative of -z**4/8 - z**3/4 - 22*z. Find o, given that l(o) = 0.
-1, 0
Let f = 10528 - 52626/5. Let 4/5*c - f*c**2 + 0 - 18/5*c**3 = 0. Calculate c.
-1, 0, 2/9
Let v(t) be the second derivative of 1/75*t**6 + 9/25*t**5 + 18/5*t**4 + 0 + 0*t**2 + 72/5*t**3 - 16*t. Let v(f) = 0. Calculate f.
-6, 0
Factor 0 - 1/8*o + 1/8*o**2.
o*(o - 1)/8
Let b(y) be the third derivative of y**6/24 - y**5/6 - 5*y**4/24 + 5*y**3/3 - y**2 + 18. Factor b(c).
5*(c - 2)*(c - 1)*(c + 1)
Let a = -10 + 12. Factor 16*z**a + 123*z**4 + 73*z**4 + 22*z**3 + 90*z**3.
4*z**2*(7*z + 2)**2
Let c = 18023/126063 - 2/18009. Solve 1/7*p**2 + c*p - 2/7 = 0.
-2, 1
Factor -2*g**2 + 8/3 + 22/3*g.
-2*(g - 4)*(3*g + 1)/3
Let z = -653 - -1309/2. Suppose z*c**3 - 3/2*c - 1 + 1/2*c**4 + 1/2*c**2 = 0. Calculate c.
-2, -1, 1
Let -9*h**2 - 3*h**2 - 11*h + 9*h**2 - 7*h = 0. Calculate h.
-6, 0
Let h(r) = -2*r**3 + 3*r**2 + 6 + r - r**2 - 3*r. Let k(j) = 125*j**3 - j**2 - 60*j**3 - 1 - 64*j**3. Let p(y) = -h(y)