 365*s + 5. Let k(u) = 16*c(u) - 5*o(u). Factor k(h).
-h*(h - 90)*(h - 2)**2
Let w(m) be the first derivative of -27 + 3/7*m**2 - 20/7*m + 2/21*m**3. Find i such that w(i) = 0.
-5, 2
Let t(h) be the second derivative of 5*h**7/126 - 58*h**6/3 + 10207*h**5/4 - 149645*h**4/18 - 28*h + 43. Factor t(g).
5*g**2*(g - 173)**2*(g - 2)/3
Factor -5*f**2 - 33/5*f**4 + 0 - 4/5*f + 62/5*f**3.
-f*(f - 1)**2*(33*f + 4)/5
Let m(j) = 4*j**2 + j - 7. Let a be m(-4). Let c = a - 41. Find z, given that 34 - 12*z + 2*z**3 + 30 + c*z**2 - 3*z**3 - 36*z = 0.
4
Let b(k) = 4*k**2 + 16*k - 58. Let u be b(-15). What is d in -610*d**3 - 7*d**4 - 3 - d**5 + 16*d**2 + u*d**3 + 3 = 0?
-4, 0, 1
Let u = -12 - 69. Let b = u - -85. Suppose 4*g**4 - 12*g**3 + b*g**2 - 15*g**2 - 5*g**2 = 0. What is g?
-1, 0, 4
Let s(j) be the second derivative of 7/18*j**4 - 1/30*j**5 - 16/3*j**2 + 8*j - 2 - 8/9*j**3. What is x in s(x) = 0?
-1, 4
Let m(i) = -5*i**3 - 67*i**2 + 5*i - 17. Let y be m(-13). Let n = 422 + y. Factor -1/2*p**n + 3/2 + p.
-(p - 3)*(p + 1)/2
Suppose -322*o - 1073*o = 0. Suppose o*p - p**4 - 8/5*p**3 + 0 - 1/5*p**5 - 4/5*p**2 = 0. What is p?
-2, -1, 0
Let v = 2631850/1973883 + -2/657961. Factor 1 + 1/3*x**2 - v*x.
(x - 3)*(x - 1)/3
Suppose 0 = 3*s + 2*o - 56, -15 = 4*o - o. Suppose -4*h = -3*k - 14, -s = -k - 4*h - 0*h. Solve 10/3*u - 16/9*u**2 + k - 32/9*u**3 = 0 for u.
-3/4, 1
Let b be 0/((350/(-100))/((-1)/(-2))). Let l(g) be the second derivative of b*g**2 + 3/100*g**5 + 1/5*g**3 + 32*g + 0 + 3/20*g**4. Factor l(v).
3*v*(v + 1)*(v + 2)/5
Let a(g) = 10*g**2 + 4951*g - 3045515. Let b(i) = -114*i**2 - 54466*i + 33500666. Let f(d) = 34*a(d) + 3*b(d). Factor f(u).
-2*(u - 1234)**2
Let w(a) = -a**4 - 20*a**3 - 43*a**2 + 12*a + 60. Let y(l) = -l**4 - 19*l**3 - 42*l**2 + 10*l + 58. Let o(g) = -3*w(g) + 4*y(g). Factor o(h).
-(h - 1)*(h + 2)**2*(h + 13)
Let u(j) be the second derivative of -j**5/30 - 17*j**4/18 + 133*j**3/9 - 115*j**2/3 - 1712*j. Factor u(s).
-2*(s - 5)*(s - 1)*(s + 23)/3
Let p(d) be the second derivative of -4*d**4/21 - 5736*d**3/7 - 9253602*d**2/7 + 1382*d - 4. Factor p(b).
-4*(2*b + 2151)**2/7
Let j(o) be the first derivative of 2/3*o**3 + o + 86 - 9/4*o**2. Determine x so that j(x) = 0.
1/4, 2
Let c(g) be the first derivative of 42 + 9/10*g**4 - 24/5*g**3 - 33/10*g**2 - 3/10*g**6 + 18/5*g + 6/5*g**5. Solve c(b) = 0.
-1, 1/3, 2, 3
Suppose -4640*m + 38*m**2 - 3591200 + 1028*m - 40*m**2 - 1748*m = 0. Calculate m.
-1340
Let c(z) = 1. Let b(p) = -2*p**2 - 4*p - 4. Let n = 6 - 15. Let k = -8 - n. Let g(l) = k*b(l) + 4*c(l). Suppose g(s) = 0. What is s?
-2, 0
Suppose -2*m + 64 = -3*r, 88 - 18 = -3*r - 4*m. Let s = -9 - r. Factor 2*u**3 - 22*u**2 + 48*u - s*u**2 - 32 + 11*u**2 + 2*u**3.
4*(u - 2)**3
Let b(v) = 3*v**2 + v**2 - 3 - 6*v**2 + 19*v**2 + 3*v**2 + v. Let u(z) = 75*z**2 + 4*z - 11. Let i(l) = 22*b(l) - 6*u(l). Factor i(g).
-2*g*(5*g + 1)
Let j = -1883559/7 + 269081. Let d be ((-4)/14)/((-1)/3). Suppose -2/7*x**2 - d*x + j = 0. What is x?
-4, 1
Let z(t) be the third derivative of -t**5/240 + 47*t**4/96 + 2612*t**2. Let z(a) = 0. Calculate a.
0, 47
Let o(k) = 3 + k**2 - k - 11*k + 8*k. Let m(t) = -t + 1. Let c(r) = m(r) - o(r). Factor c(q).
-(q - 2)*(q - 1)
Let p(i) be the second derivative of i**6/10 + 6*i**5 - 417*i**4/4 + 580*i**3 - 1176*i**2 + 4970*i. Factor p(y).
3*(y - 4)**2*(y - 1)*(y + 49)
Let v(t) be the first derivative of 38/35*t**5 + 0*t + 1/3*t**6 + 71 - 2/7*t**2 + 15/14*t**4 + 2/21*t**3. Find o, given that v(o) = 0.
-1, 0, 2/7
Factor 2/7*c**3 + 106/7*c - 4*c**2 - 80/7.
2*(c - 8)*(c - 5)*(c - 1)/7
Let n(w) be the third derivative of 0*w + 4/15*w**3 - 1/15*w**4 + 1/300*w**6 - 1/150*w**5 - w**2 + 29. Factor n(m).
2*(m - 2)*(m - 1)*(m + 2)/5
Let o(j) = j**3 + 40*j**2 + 38*j - 37. Let i be o(-39). Let s = 8 + -5. Factor -75*c**s + 2*c**i + 66*c**3 + 4*c**2.
-3*c**2*(3*c - 2)
Let o(p) be the third derivative of 0 + 23*p - 1/216*p**6 + 0*p**4 - p**2 + 1/945*p**7 + 1/3024*p**8 + 0*p**3 - 1/90*p**5. Determine c so that o(c) = 0.
-3, -1, 0, 2
Suppose -4*z = -11*d + 7*d - 12, 0 = -4*z - 4*d - 12. Determine t so that -28*t**3 - 32 + 766*t + 8*t**2 - 718*t + 4*t**5 + z*t**2 = 0.
-2, 1, 2
Let c be 12 + -4 + 6 + 1. Let w(i) = -5*i**3 + 4*i**2 - 9*i - 2. Let p(y) = -18*y**3 + 15*y**2 - 36*y - 9. Let n(l) = c*w(l) - 4*p(l). Factor n(q).
-3*(q - 2)*(q + 1)**2
Let n(z) be the first derivative of -7*z**6/51 + 32*z**5/85 + z**4/2 - 4*z**3/3 - 20*z**2/17 + 16*z/17 + 749. Find u such that n(u) = 0.
-1, 2/7, 2
Let d = 62609/148 - 15643/37. Factor d*l**4 + 81/2*l + 135/4 + 7/2*l**3 + 18*l**2.
(l + 3)**3*(l + 5)/4
Let r(f) = -18*f + 14. Let q be r(6). Let y be 0 + -3 + 0 - q/30. Factor y*a**2 + 2/3*a + 8/15.
2*(a + 1)*(a + 4)/15
Let l = 6311/13 + -31477/65. What is h in 0 + 2/5*h**2 + 0*h + l*h**4 + 2/5*h**5 + 6/5*h**3 = 0?
-1, 0
Let m be (3 + (-495)/(-20))/(12/16). Find a such that 19 + 101 + 28*a + 5*a + 5*a**2 + m*a = 0.
-12, -2
Let r be ((-4)/(-10))/((-1672)/(-1120) + (-3)/(-28)). What is i in -r*i**4 + 3/4*i**2 + 0 + 1/2*i + 0*i**3 = 0?
-1, 0, 2
Let s(l) be the first derivative of -5*l**4/6 - 2*l**3/3 + 32*l**2/3 - 8*l + 2127. Determine v so that s(v) = 0.
-3, 2/5, 2
Let v(j) be the third derivative of -13*j**8/1344 + 41*j**7/840 - j**6/80 + 67*j**2 + 1. Suppose v(y) = 0. Calculate y.
0, 2/13, 3
Let f(t) be the first derivative of -1/5*t**3 - 42/5*t + 242 + 9/2*t**2. Solve f(a) = 0.
1, 14
Let d(q) be the third derivative of q**6/40 + 11*q**5/20 - 84*q**4 - 5113*q**2. Find n such that d(n) = 0.
-32, 0, 21
Let i(o) be the third derivative of -o**6/420 - o**5/70 + o**4/84 + o**3/7 + 4*o**2 + 87*o. Factor i(v).
-2*(v - 1)*(v + 1)*(v + 3)/7
Let t(y) = 13*y**4 + 92*y**3 - 663*y**2 + 1031*y - 452. Let b(a) = -10*a**4 - 92*a**3 + 662*a**2 - 1030*a + 456. Let x(n) = 3*b(n) + 2*t(n). Factor x(h).
-4*(h - 4)*(h - 1)**2*(h + 29)
Let g(j) be the third derivative of 5*j**8/1344 + j**7/504 + 23*j**5/60 + j**3/6 - 45*j**2. Let p(f) be the third derivative of g(f). Factor p(u).
5*u*(15*u + 2)
Suppose -6 = -20*u + 54. Suppose 15*j**u - 27*j**4 + 1 + 140*j - 13*j**4 - 41 + 95*j**3 - 190*j**2 + 15*j**3 + 5*j**5 = 0. What is j?
1, 2
Let r(a) be the second derivative of a**5/60 - 419*a**4/36 + 3377*a. Suppose r(o) = 0. What is o?
0, 419
Let w(p) be the third derivative of -p**7/7560 - 7*p**6/4320 - p**5/240 - 125*p**4/24 - 80*p**2. Let c(u) be the second derivative of w(u). Factor c(z).
-(z + 3)*(2*z + 1)/6
Let v(i) = -152*i**2 + 114*i - 1158. Let r(o) = -25*o**2 - o - 1. Let y(s) = -6*r(s) + v(s). Determine z, given that y(z) = 0.
12, 48
Solve 361/2*b**2 + 2*b**3 - 763*b - 588 - 3/2*b**4 = 0 for b.
-12, -2/3, 7
Let f = 157733/236613 + 3/78871. What is g in f - 2/3*g**2 + 0*g = 0?
-1, 1
Solve -208/3*q + 0 - 2/3*q**4 + 140/3*q**2 - 14/3*q**3 = 0.
-13, 0, 2, 4
Let p be (-3)/4*-4*(-8)/(-12). Find g such that -5*g**2 - 7*g**4 + p*g**4 - g**3 + 13*g**3 - 2*g**3 = 0.
0, 1
Let n = 45 - 45. Let w be n - (-9 + -2 + 3). Find k, given that 7*k**5 + 20*k**3 + w*k**2 - 3*k**5 + 32*k**4 - 16*k**4 = 0.
-2, -1, 0
Let n(a) = 17*a + 2. Let s(i) = -21*i - 3. Let v(t) = -6*n(t) - 5*s(t). Let h be v(-1). Factor h*c + 0*c**4 + 1/4*c**3 + 0 + 0*c**2 - 1/4*c**5.
-c**3*(c - 1)*(c + 1)/4
Let h = 311/4 + -77. Let z be 8 + (-335)/20 - (-13 + 4). Factor -5/2 + h*j + z*j**2.
(j - 2)*(j + 5)/4
Let o(d) be the first derivative of d**4/12 - 5*d**3/2 - 17*d**2 + 203*d + 27. Let r(i) be the first derivative of o(i). Suppose r(k) = 0. Calculate k.
-2, 17
Let p(g) be the first derivative of -4*g**5/5 - 12*g**4 - 60*g**3 - 116*g**2 - 96*g - 1031. Factor p(m).
-4*(m + 1)**2*(m + 4)*(m + 6)
Let t(x) = -104*x**2 + 5*x + 1. Let a be t(-2). Let q = a - -428. Determine l, given that -1/5*l**4 - 12/5*l - 13/5*l**2 - 6/5*l**q - 4/5 = 0.
-2, -1
Suppose -2*i - 301 = 197. Let z be (-1 + 2)/((-3)/i). Solve -j**2 + 2 + 14*j - z + 4*j = 0.
9
Let c(r) = 5*r**3 + 6112*r**2 + 2472562*r + 334617113. Let n(m) = m**3 + 1222*m**2 + 494512*m + 66923422. Let x(t) = -4*c(t) + 22*n(t). Factor x(p).
2*(p + 406)**3
Let w = -319954/15 + 106663/5. Determine y so that -4/9*y + w*y**2 + 0 = 0.
0, 4/21
Suppose 0 = 2*w + 2*c - 210, -3*c - 3 + 15 = 0. Suppose -3*m + w = 89. Suppose k**m + 4 - 2*k**2 - 2*k**4 - 6*k**3 + 6*k - k**4 = 0. What is k?
-2, -1,