*s + 6*s**2 + d*s**3 + 0. Factor b(x).
3*x*(3*x + 1)*(5*x - 1)
Let j = 79970 - 79968. Determine k so that 1/2*k**4 + 3*k + 0 - k**3 - 5/2*k**j = 0.
-2, 0, 1, 3
Factor 3/5*q**4 + 208/5*q**2 + 0 - 64/5*q - 49/5*q**3.
q*(q - 8)**2*(3*q - 1)/5
Let t(m) be the first derivative of m**5/360 + m**4/12 + 3*m**3/4 + 42*m**2 - 2*m + 4. Let k(q) be the second derivative of t(q). Suppose k(y) = 0. What is y?
-9, -3
Let a be (28/2)/(637/(-26) - -31). Factor 280/13*u**2 + 2/13*u**5 + 138/13*u**3 + 200/13*u + 0 + a*u**4.
2*u*(u + 2)**2*(u + 5)**2/13
Let a(d) be the second derivative of 5*d**7/42 + 7*d**6/6 + 7*d**5/2 + 10*d**4/3 + 787*d + 2. Suppose a(i) = 0. Calculate i.
-4, -2, -1, 0
Let p(r) be the third derivative of -r**8/840 - r**7/140 + r**6/45 + r**5/5 - 31*r**3/3 + 70*r**2 + 2*r. Let o(a) be the first derivative of p(a). Factor o(f).
-2*f*(f - 2)*(f + 2)*(f + 3)
Let a(w) = 31*w**3 + 3180*w**2 + 708*w + 4. Let o(f) = -342*f**3 - 34977*f**2 - 7788*f - 45. Let b(u) = 45*a(u) + 4*o(u). Find h such that b(h) = 0.
-118, -2/9, 0
Let l be (5/((-210)/152))/((-112)/(-168)). Let p = 263/42 + l. Factor -1/2 - p*n**2 + 7/6*n + 1/6*n**3.
(n - 3)*(n - 1)**2/6
Let t(j) = -4*j - 33. Let y be t(4). Let o be ((y/(-42))/7)/(4/56). Let -2/3*i**5 + 3/2*i**4 + 4/3*i - 6*i**2 + 0 + o*i**3 = 0. What is i?
-2, 0, 1/4, 2
Determine q, given that 1154*q**3 + 4734*q**4 + 6*q**5 - 728*q + 232*q**2 - 2261*q**4 - 2273*q**4 = 0.
-26, -7, -1, 0, 2/3
Let d(i) be the second derivative of -i**5/4 + 365*i**4/6 + 245*i**3/2 - 6*i - 1141. Suppose d(g) = 0. What is g?
-1, 0, 147
Factor 1/7*c**4 + 0 + 0*c + 20/7*c**2 + 3*c**3.
c**2*(c + 1)*(c + 20)/7
Suppose 3*u + 50 = 2*d + 86, 2*u = -4*d + 24. Factor -3/2*i**2 - 21/2 + u*i.
-3*(i - 7)*(i - 1)/2
Let m(z) be the first derivative of -2/15*z**4 - 190 - 8/5*z + 38/45*z**3 - 2/25*z**5 + 8/15*z**2. Find d, given that m(d) = 0.
-3, -1, 2/3, 2
Suppose 1353*w**2 + 889*w**2 + 9707*w + 0*w**4 - 10976 - 58*w**2 + 164*w**3 - 1083*w + 4*w**4 = 0. What is w?
-14, 1
Solve -483/2*v**2 + 485/2*v - 1 = 0.
2/483, 1
Let o = -116 + 179. Determine x, given that -o*x + 25*x - 40 - 47*x - 5*x**3 + 7*x**2 - 57*x**2 = 0.
-8, -1
Let r = -3552/359 + 18837/1795. Factor 0 + 0*f**3 - 4/5*f**2 + r*f**4 + 0*f - 1/5*f**5.
-f**2*(f - 2)**2*(f + 1)/5
Let a = -8912/1155 + 1886/165. Factor -a*u**2 - 10/7 - u**3 + 43/7*u.
-(u - 1)*(u + 5)*(7*u - 2)/7
Let x(o) be the first derivative of 7*o**7/540 - 7*o**6/90 + o**5/9 - 2*o**4/27 + 62*o**3 + 118. Let i(k) be the third derivative of x(k). Solve i(c) = 0 for c.
2/7, 2
Let o(l) be the second derivative of 2 - 31/4*l**3 + 57*l - 3/40*l**5 - 45/4*l**2 - 17/8*l**4. Factor o(a).
-3*(a + 1)**2*(a + 15)/2
Let l(g) be the first derivative of g**6/9 - 124*g**5/15 + 587*g**4/3 - 4360*g**3/3 + 3267*g**2 - 2916*g + 6468. Find f, given that l(f) = 0.
1, 6, 27
Let o(w) be the first derivative of -98 + 17/24*w**3 - 1/2*w - 2*w**2. Factor o(i).
(i - 2)*(17*i + 2)/8
Let n(t) = 317*t**3 - 1836*t**2 + 2718*t + 108. Let j(p) = -948*p**3 + 5508*p**2 - 8148*p - 324. Let r(y) = -3*j(y) - 8*n(y). Find i, given that r(i) = 0.
-3/77, 3
What is z in 2*z**3 + 12/5*z**2 - 2/5*z**4 + 0*z + 0 = 0?
-1, 0, 6
Let r(f) be the second derivative of 35/6*f**3 - 6 - 5/12*f**4 + 20*f**2 + f. Determine c so that r(c) = 0.
-1, 8
Let o(p) be the first derivative of 9 - 2/3*p**3 + 8/3*p + 1/6*p**4 + 0*p**2. Factor o(d).
2*(d - 2)**2*(d + 1)/3
Let d be (-9 + 162/18)/1. Let f(h) be the first derivative of -h**5 - 5/6*h**6 + 0*h**2 + 0*h + 0*h**3 - 33 + d*h**4. Solve f(q) = 0.
-1, 0
Let u be -21*(-10 - 308/(-42))*6/36. Suppose -20/3*w**4 + u + 2/3*w**5 - 8/3*w**2 - 46/3*w + 44/3*w**3 = 0. What is w?
-1, 1, 2, 7
Let j be (-10 - -31 - 10) + 11/(-22)*18. Solve -2/7*w**j - 24/7 - 16/7*w = 0.
-6, -2
Let t be 13 - 2 - -7*7/(-49). Suppose -5*f + 4 = -2*h, -4*f - h + 1 = -t. Find r such that 1/3*r**f - 2*r + 3 = 0.
3
Let v(g) = -g**2 - 81*g - 317. Let r be v(-62). Let j = 861 - r. Solve -44/5*d**3 - 8/5*d**2 - 36/5*d**4 + 0*d + j = 0 for d.
-1, -2/9, 0
Factor 1/9*s**4 + 20*s + 9 + 118/9*s**2 + 20/9*s**3.
(s + 1)**2*(s + 9)**2/9
Let a = 936 + -936. Let w(j) be the second derivative of -3/8*j**3 + 3/80*j**5 - 3/4*j**2 + a*j**4 + 14*j + 0. Let w(t) = 0. What is t?
-1, 2
Determine i, given that -74*i**4 + 37*i**4 - 98*i + 315*i**3 + 43*i**4 - 294*i**2 + 79*i**3 - 8*i**5 = 0.
-7, -1/4, 0, 1, 7
Let f(u) be the third derivative of -u**8/112 - 3*u**7/10 + 49*u**6/40 + 69*u**5/20 + 7982*u**2. Solve f(c) = 0.
-23, -1, 0, 3
Let g(j) = -83*j - 67. Let x be g(-1). Let z(r) = r**2 - 5*r - 174. Let o be z(x). Determine n, given that -2/7 + 2/7*n**o + 0*n = 0.
-1, 1
Let s = -77 - -75. Let y be (-9)/18*(-18 - 0/s). Let 4*o**2 + 2*o - 6 - 1 + y - 8*o = 0. What is o?
1/2, 1
Let m(f) be the third derivative of -14*f**2 - 147*f**3 + 2 - 1/120*f**5 - 7/4*f**4 + 0*f. Factor m(n).
-(n + 42)**2/2
Let v be (61 - 57 - (-31)/(-7))/((-80)/336). Solve -27/5 + 27/5*i + 1/5*i**3 - v*i**2 = 0 for i.
3
Suppose -106*l = -114*l + 16. Let -6*i - 3*i**l - 180 - 196 + 520 = 0. What is i?
-8, 6
Factor 276/11*q**2 + 2808/11 + 1818/11*q - 6/11*q**3.
-6*(q - 52)*(q + 3)**2/11
Find a such that -40/11*a - 2/11*a**2 - 168/11 = 0.
-14, -6
Factor -60/17*p**2 + 18/17*p**3 - 2/17*p**4 - 48/17 + 88/17*p.
-2*(p - 3)*(p - 2)**3/17
Let r(q) be the first derivative of -q**7/35 - q**6/40 - q**5/160 - 3*q**2/2 + 3*q - 2. Let w(z) be the second derivative of r(z). Determine o so that w(o) = 0.
-1/4, 0
Let h be (1 + 2/(-8))/((-144)/(-960)). Suppose 10*i**4 + i**4 - 3*i**5 - h*i**4 + 18*i**3 - 18 - 39*i - 12*i**2 = 0. Calculate i.
-1, 2, 3
Let k(g) be the first derivative of 2/5*g**2 - 1/25*g**5 - 1/5*g + 1/5*g**4 - 2/5*g**3 - 57. What is z in k(z) = 0?
1
Let u(g) be the first derivative of 1/30*g**5 - 10 + 0*g**3 + 0*g + 13/2*g**2 + 1/6*g**4. Let z(f) be the second derivative of u(f). Factor z(p).
2*p*(p + 2)
Let z(l) be the third derivative of l**5/4 + 457*l**4/8 - 25*l**2 - 47*l. Factor z(v).
3*v*(5*v + 457)
Let l(i) be the third derivative of i**5/210 - 49*i**4/3 + 67228*i**3/3 - 940*i**2. Factor l(a).
2*(a - 686)**2/7
Suppose 0 = 46*i - 11*i - 455. What is j in 19*j - 9*j**3 - 24*j**4 - j**3 - j**2 - j**3 + 6 + 14*j**4 + i*j**4 = 0?
-1, -1/3, 2, 3
Let y(r) be the first derivative of -r**6/21 - 18*r**5/35 - 19*r**4/14 - 2*r**3/7 + 20*r**2/7 + 24*r/7 + 1729. What is x in y(x) = 0?
-6, -2, -1, 1
Let d(k) be the second derivative of 1/30*k**6 + 2 - 11/5*k**5 - 127*k + 529/2*k**2 + 73/2*k**4 + 506/3*k**3. Factor d(h).
(h - 23)**2*(h + 1)**2
Let w = -618367/8 - -77297. Determine v, given that 9/8*v**2 - 3/8*v**3 - w + 3/8*v = 0.
-1, 1, 3
Let n be (1305/30)/(-29)*(-45)/675. Solve -8/5 - 17/10*o - n*o**2 = 0.
-16, -1
Let a(v) = 3695*v - 33255. Let u be a(9). Factor -4/3*y + u + 1/6*y**2.
y*(y - 8)/6
Let l(i) be the third derivative of i**6/120 + 13*i**5/60 + 4*i**4/3 + 10*i**3/3 + 13*i**2 - 3*i - 5. Factor l(y).
(y + 1)*(y + 2)*(y + 10)
Suppose 2*z - g + 36 = -7, 4*g - 20 = 0. Let t be 74/(-222) - (-3)/(-27)*z. Let -68/9*f**2 + t - 2*f**3 - 56/9*f = 0. Calculate f.
-2, 2/9
Suppose 11*g + 587 - 2*g**2 + 3*g**2 - 45*g - 554 = 0. Calculate g.
1, 33
Let m = -21/3169 + 19245/34859. Solve -m - 4/11*x + 2/11*x**2 = 0.
-1, 3
Let d(o) = 3*o**3 + o + 4. Let u(h) = 18*h**3 - 123*h**2 + 242*h - 97. Let x(p) = -5*d(p) + u(p). Factor x(a).
3*(a - 39)*(a - 1)**2
Determine x so that 0 - 1582/9*x**2 + 4/9*x**4 - 392/9*x - 55/9*x**3 = 0.
-14, -1/4, 0, 28
Let l(q) = q**3 - 23*q**2 + 39*q + 65. Let a be l(21). Find n such that -5/3 - 2*n + 1/3*n**4 + a*n**3 + 4/3*n**2 = 0.
-5, -1, 1
Let 3/2*y**2 + 39/2 - 21*y = 0. Calculate y.
1, 13
Let d(j) be the first derivative of 1/6*j**4 + 16/9*j**3 - 32 + 13/3*j**2 + 4*j. Solve d(u) = 0.
-6, -1
Let r be (-72)/21*6783/(-3876). Suppose 0 - 3/2*b**4 - 1/4*b**5 + r*b**3 + 56*b**2 + 96*b = 0. Calculate b.
-4, 0, 6
Let d = 350 - 339. Let q be (-3)/(-1) + d/((-132)/18). Suppose -q*v**4 + 6*v - 9*v**2 + 6*v**3 - 3/2 = 0. What is v?
1
Suppose 0 = -2*n + 4*n + 8. Let p = n - -6. Factor 28*r**3 + 4*r**4 + r**4 - r**p - 3*r**4 - 27*r**3.
r**2*(r + 1)*(2*r - 1)
Let w = 14907 + -14904. Let j(n) be the first derivative of 0*n**w + 1/19*n**4 + 0*n**2 - 2/95*n**5 + 0*n - 23 - 1/57*n**6. Determine g so that j(g) = 0.
-2, 0, 1
Suppose 0 = -14