 = r*f(b) + 4*p(b). Let q(k) = 0. What is k?
-2, 2
Solve -309*o**2 + 1002 - 960*o - 185*o**2 + o**3 + 298 + 659*o**2 - 6*o**3 = 0.
2, 5, 26
Determine v, given that -2456*v**3 - 63*v**5 - 17*v + 972*v**4 - 17*v**5 - 144 + 267*v**2 + 1425*v**2 + 65*v - 32*v = 0.
-1/4, 2/5, 1, 2, 9
Let t(o) = 11*o**4 - 840*o**3 - 1760*o**2 + 9*o. Let p(d) = -3*d**4 + 210*d**3 + 440*d**2 - 2*d. Let x(k) = 9*p(k) + 2*t(k). Determine s so that x(s) = 0.
-2, 0, 44
Factor -87/4 - 3/4*f**2 - 45/2*f.
-3*(f + 1)*(f + 29)/4
Let q = 21497 + -601915/28. Let x(j) be the third derivative of 0*j - 2/105*j**5 - q*j**4 + 0*j**3 + 0 - 18*j**2 - 1/420*j**6. Determine g, given that x(g) = 0.
-3, -1, 0
Let j(q) be the second derivative of -q**10/105840 + q**9/13230 - 13*q**4 - 4*q - 1. Let g(w) be the third derivative of j(w). Let g(k) = 0. Calculate k.
0, 4
Let d(q) be the second derivative of -q**4/42 + 46*q**3/3 - 3703*q**2 - 1121*q. Factor d(b).
-2*(b - 161)**2/7
Suppose 0 = 2*h - 4, l + 4*h - 24 = -3*l. Let o(g) = 22*g**2 - 106*g - 26. Let u(v) = -22*v**2 + 106*v + 28. Let f(i) = l*o(i) + 3*u(i). Factor f(q).
2*(q - 5)*(11*q + 2)
Let q(z) = -z**2 - 22*z + 16. Let s be q(-7). Let w be 22/s + (-6)/(-88). Find t such that -w*t - 3/8*t**2 + 3/8*t**4 + 1/4*t**3 + 0 = 0.
-1, -2/3, 0, 1
Let b(u) be the first derivative of -u**5/5 + u - 79. Let k(z) = -z**5 - 2*z**4 + z**3 + 5*z**2 - 3. Let n(o) = -3*b(o) - k(o). Determine g so that n(g) = 0.
-5, -1, 0, 1
Let c(m) = 26*m**2 + 8*m + 19. Let b be c(-4). Let y = 406 - b. Determine u, given that y*u + 46/11*u**2 + 9/11 + 30/11*u**3 + 9/11*u**4 + 1/11*u**5 = 0.
-3, -1
Let h(i) = 63*i**3 + 282*i**2 + 624*i - 39. Let d(z) = 8*z**3 + 35*z**2 + 78*z - 5. Let t(v) = -39*d(v) + 5*h(v). Factor t(r).
3*r*(r + 2)*(r + 13)
Let d(v) be the first derivative of -3*v**2 - 17 - 5*v**3 - 2*v**4 + 0*v + 5 + v - 22. Determine j, given that d(j) = 0.
-1, 1/8
Let l(z) be the first derivative of 3/200*z**6 + 7/20*z**5 + 0*z - 18/5*z**3 + 12/5*z**4 - 5/2*z**2 + 7. Let r(f) be the second derivative of l(f). Factor r(n).
3*(n + 6)**2*(3*n - 1)/5
Let k = -4/69 + 22/115. Suppose -3*w + 8 = -2*f, 5*w - 6*w - 6 = -5*f. Factor -k*y**4 + 0 + 0*y - 8/15*y**3 - 8/15*y**f.
-2*y**2*(y + 2)**2/15
Let q(s) be the second derivative of 5*s**7/56 - 459*s**6/20 + 7866*s**5/5 + 1058*s**4 + 1317*s. Find x such that q(x) = 0.
-2/5, 0, 92
Factor -30 - 3/7*r**2 - 57/7*r.
-3*(r + 5)*(r + 14)/7
Let f(m) be the second derivative of 0 + 4/3*m**3 - 1/15*m**6 - 2/5*m**5 + 3*m**2 - 1/3*m**4 - 120*m. Solve f(i) = 0.
-3, -1, 1
Suppose -4/5*p**5 - 8/5*p**4 + 104/5*p**2 - 144/5*p + 52/5*p**3 - 288/5 = 0. What is p?
-3, -2, 2, 3
Suppose -44*f + 41*f + 6 = -7*l, -l = 0. Let n = 7/95 - -3/95. Let 0*z - n + 2/19*z**f = 0. What is z?
-1, 1
What is c in 29/2*c**4 - 32 - 1/2*c**5 + 35/2*c**2 - 47*c + 95/2*c**3 = 0?
-2, -1, 1, 32
Let l be 155/(-31)*4/10 + 5. Factor 234*i + 2*i**l + 2417 - 1741 - 28*i**2 - 20*i**2.
2*(i - 13)**2*(i + 2)
Factor 2/9*k**2 + 220/9*k + 218/9.
2*(k + 1)*(k + 109)/9
Let q(s) be the first derivative of -s**4/6 + 140*s**3/9 + s**2/3 - 140*s/3 - 11626. Find t, given that q(t) = 0.
-1, 1, 70
Factor 112/9*z - 100/9*z**2 + 0 + 26/9*z**3 - 2/9*z**4.
-2*z*(z - 7)*(z - 4)*(z - 2)/9
Let w(l) = -l**4 - l**3 + l**2 - 1. Let x(b) = 6*b**4 - 28*b**2 - b**3 - 8*b**4 + 1 + 34*b**2 - 6. Let p(k) = 2*w(k) - 2*x(k). Suppose p(o) = 0. Calculate o.
-2, -1, 1, 2
Let z(c) be the third derivative of c**8/504 + 31*c**7/945 - 31*c**6/270 - 4*c**5/45 - 2283*c**2. Let z(d) = 0. What is d?
-12, -1/3, 0, 2
Let p(j) = -73*j + 16*j**2 - 94 - 14*j**2 + 13. Let q(i) = -2*i**2 + 72*i + 82. Let u(g) = -4*p(g) - 3*q(g). What is f in u(f) = 0?
-1, 39
Factor -432*r**2 + 269*r**2 + 1280 + 159*r**2 + 1276*r.
-4*(r - 320)*(r + 1)
Let g = 610429/75 - 8139. Let v(k) be the second derivative of 1/105*k**7 - 1/5*k**3 + 0*k**2 + 0 + 21*k + 1/25*k**5 - 2/15*k**4 + g*k**6. Solve v(p) = 0 for p.
-3, -1, 0, 1
Let g(a) be the third derivative of -a**5/60 - 25*a**4/8 + 38*a**3/3 - 34*a**2 + 12*a. Factor g(i).
-(i - 1)*(i + 76)
Let p(q) be the first derivative of 5*q**3 + 129*q**2/2 - 54*q - 804. Factor p(o).
3*(o + 9)*(5*o - 2)
Let j(s) be the first derivative of -5*s**3/12 + 1085*s**2 - 8675*s/4 + 10937. Factor j(x).
-5*(x - 1735)*(x - 1)/4
Let h be ((-2865)/(-5348)*(-16)/(-10))/(3/7). Suppose 4 + 2*x - x**h - 1/2*x**3 = 0. What is x?
-2, 2
Suppose g = 4*g - 27. Suppose -g*a + 9 + 9 = 0. Solve 0 + 0*m**4 + 0*m**a + 16/5*m**3 - 32/5*m - 2/5*m**5 = 0.
-2, 0, 2
Suppose -5*t + 2*d = -89, -5*d - 25 = 2*t - 78. Let z(g) be the first derivative of -1/8*g - t + 1/24*g**3 - 1/32*g**4 + 1/16*g**2. Suppose z(b) = 0. What is b?
-1, 1
Let g(b) be the second derivative of b**4/18 + 17*b**3/9 + 16*b**2/3 - 2*b - 193. Find c such that g(c) = 0.
-16, -1
Suppose -32/5*m**3 + 66/5 + 2/5*m**4 + 124/5*m**2 - 32*m = 0. What is m?
1, 3, 11
Let j be ((-99)/6)/((-18)/12 - 0). Factor 4*x**3 + 5*x**3 - x**2 - 3*x + 4*x**3 - j*x**3.
x*(x + 1)*(2*x - 3)
Let d(f) be the first derivative of -4*f**2 - 177 - 104*f - 2/39*f**3. Factor d(v).
-2*(v + 26)**2/13
Let t(g) be the first derivative of -3*g**3 + 2019*g**2/2 - 672*g - 11960. Determine y so that t(y) = 0.
1/3, 224
Let q(m) be the third derivative of -m**6/60 + 19*m**5/3 + 193*m**4/3 + 776*m**3/3 - m**2 + 6*m - 50. Factor q(k).
-2*(k - 194)*(k + 2)**2
Let v(j) be the third derivative of 0*j - 1/360*j**6 + 0*j**3 - 1/180*j**5 + 1 + 55*j**2 + 0*j**4. Factor v(o).
-o**2*(o + 1)/3
Let b(j) = -j**4 - 13*j**3 + 1. Let x(n) = -20*n**4 - 255*n**3 - 240*n**2 - 7040*n - 25575. Let k(p) = 25*b(p) - x(p). Find q such that k(q) = 0.
-8, 10
Let d = -1024254 - -1024257. Factor -34/3 + 22*m - 2/3*m**d - 10*m**2.
-2*(m - 1)**2*(m + 17)/3
Let j = -2/562971 + 36030158/3940797. What is b in 72/7*b + j - 12/7*b**2 - 20/7*b**3 = 0?
-8/5, -1, 2
Let o(r) = -16*r - 144. Let b be o(-9). Suppose 3*w - 31*w + 84 = b. Let 16/5*j**2 + 2/5 - 11/5*j - 7/5*j**w = 0. Calculate j.
2/7, 1
Let f(i) be the third derivative of 0*i**5 + 4/21*i**7 + 0*i**4 + 4/15*i**6 - 1/28*i**8 + 0*i - i**2 + 0*i**3 + 44. Determine y so that f(y) = 0.
-2/3, 0, 4
Factor 64752*f**2 + 2*f**4 - 64448*f**2 + 2*f**4 + 160*f**3.
4*f**2*(f + 2)*(f + 38)
Factor 786*z**2 + 938*z**2 + 424*z**2 - 18441*z**3 + 18437*z**3.
-4*z**2*(z - 537)
Let m(s) be the third derivative of -s**6/24 + 35*s**5/4 - 1750*s**2. Factor m(h).
-5*h**2*(h - 105)
Suppose o - q = 0, -2*q + 10 = -6*o + 9*o. Let y(b) be the third derivative of 0 - 1/30*b**5 + 13*b**o + 0*b - 1/60*b**6 + 1/6*b**4 + 0*b**3. Factor y(a).
-2*a*(a - 1)*(a + 2)
Let o = 14269 - 14266. Factor -160*r**2 + 12*r**o - 64 + 592/3*r.
4*(r - 12)*(3*r - 2)**2/3
What is g in -5*g**4 + 5808 + 0*g**4 + 4*g**4 + 0*g**4 + 3*g**4 + 8728*g + 738*g**3 + 4380*g**2 = 0?
-363, -2
Let q(w) = -5*w**3 - w - 2. Let v(f) = 6*f**3 - 156*f**2 + 1050*f - 1436. Let p(x) = 2*q(x) + v(x). Suppose p(k) = 0. Calculate k.
-45, 2, 4
Suppose 13*n + 648 = 19*n. Let l be 39/65*((-80)/n)/(-2). Factor 0*a - l*a**4 + 0*a**2 + 0 + 2/9*a**3.
-2*a**3*(a - 1)/9
Let m = 188 + -184. Solve 4*h**3 + 4 + h - m*h**2 - 9*h - 4 = 0 for h.
-1, 0, 2
Let r(b) = b**3 - 19*b**2 - 22*b + 47. Let j be r(20). Solve 0 + 13*w + 0 - j*w**2 - 6 + 10*w = 0 for w.
2/7, 3
Factor -1608/7*k + 2/7*k**2 + 323208/7.
2*(k - 402)**2/7
Let m(o) be the first derivative of o**4/38 + 74*o**3/57 - 1044. Solve m(j) = 0 for j.
-37, 0
Let m be (-8)/(-14) - (-2 + 34/(-14)). Determine l so that -72*l + 0 + 8*l**3 + 7*l**2 - 2*l**4 + m*l**2 - 49 + 103 = 0.
-3, 1, 3
Let z(j) = j**2 - 14*j + 1. Let h(y) be the first derivative of 3*y**2/2 - y - 99. Let q(k) = h(k) + z(k). Find c, given that q(c) = 0.
0, 11
Factor 7/4*h**2 - 27/2*h + 1/4*h**3 + 18.
(h - 3)*(h - 2)*(h + 12)/4
Let n(c) = -3*c**5 + 39*c**4 + 195*c**3 - 1791*c**2 - 4074*c - 2112. Let u(a) = -a**4 - 5*a**2 - a + 2. Let y(t) = -n(t) - 6*u(t). Solve y(o) = 0 for o.
-7, -1, 10
Let o be 102/(-24) + 1/4. Let n(c) = -2*c**2 - 4*c - 7. Let l(p) = -p**2 - 5*p - 8. Suppose -45 = -8*s - 5. Let k(f) = o*n(f) + s*l(f). Factor k(w).
3*(w - 4)*(w + 1)
Determine i, given that 1/9*i**3 + 14/3*i**2 + 0 - 43/9*i = 0.
-43, 0, 1
Let z(w) be the third derivative of 0 + 1/180*w**5 + 197*w**2 + 0*w - 1/9*w**4 + 0*w**3. Factor z(a).
a*(a - 8)/3
Let t = 174191 + -174188.