 + 8*b**4/5 - 16*b**3/15 + 697. Find c, given that x(c) = 0.
0, 1, 2
Let -1/4*d**5 - 13*d**2 + 0 - 6*d - 19/2*d**3 - 11/4*d**4 = 0. What is d?
-6, -2, -1, 0
Let a = -96056/5 + 19228. Suppose -152/5*d + 102/5*d**3 + 14/5*d**4 + a*d**2 - 48/5 = 0. What is d?
-6, -2, -2/7, 1
Let b(l) be the second derivative of -1/45*l**5 - 10/189*l**7 + 0*l**2 - 23*l + 0 + 0*l**3 + 0*l**4 - 4/45*l**6. Factor b(w).
-4*w**3*(w + 1)*(5*w + 1)/9
Let -12/7 - 22/7*y - 12/7*y**2 - 2/7*y**3 = 0. What is y?
-3, -2, -1
Factor -624/5*a - 3/5*a**3 + 0 + 87/5*a**2.
-3*a*(a - 16)*(a - 13)/5
Let p(q) be the second derivative of 7*q**4/78 - 4744*q**3/39 - 1356*q**2/13 - 14*q - 65. Find u, given that p(u) = 0.
-2/7, 678
Suppose 0 = c + c - 10, 3*j - c = -2. Suppose -4*p = -v - 10 + j, 0 = 3*p - v - 7. Determine l so that 3/8*l**p - 1/4*l + 0 - 1/8*l**3 = 0.
0, 1, 2
Suppose 3*u + 13*u - 3632 = 0. Let m = u + -225. Factor -9/4 + 3/2*h - 1/4*h**m.
-(h - 3)**2/4
Let f(d) be the second derivative of d**7/84 + 49*d**6/30 + 355*d**5/4 + 6875*d**4/3 + 265625*d**3/12 - 390625*d**2/2 - 259*d. Suppose f(q) = 0. What is q?
-25, 2
Suppose 1 = 3*h - 8. Let n(o) = 71*o + 430. Let q be n(-6). Let 2/23*m**q - 8/23*m**h - 4/23*m + 10/23*m**2 + 0 = 0. Calculate m.
0, 1, 2
Factor -57*v**3 - 58*v**3 - 100*v**2 + 175*v**3 - 121*v - 20*v**2 - 59*v**3.
v*(v - 121)*(v + 1)
Suppose -2*r - 30 = -5*r. Let x be (-12)/r*(2 - 27/6). Suppose 20*s**4 - 4*s**3 - 7*s**x - 20*s**2 + 5*s**5 + 6*s**3 = 0. Calculate s.
-4, -1, 0, 1
Let s(y) be the third derivative of -3*y**2 + 1/15*y**5 - 16*y + 0*y**3 + 31/3*y**4 + 0. Factor s(o).
4*o*(o + 62)
Factor 1/7*n**2 - 130 - 57/7*n.
(n - 70)*(n + 13)/7
Let s = -1601/744 - -68/31. Let p(g) be the second derivative of -s*g**3 - 1/8*g**4 + 1/24*g**6 - 1/40*g**5 + 15*g + 1/8*g**2 + 0 + 1/56*g**7. Factor p(h).
(h - 1)*(h + 1)**3*(3*h - 1)/4
Determine a so that 168 + 1/2*a**3 + 165/2*a**2 - 251*a = 0.
-168, 1, 2
Let d(y) be the second derivative of 10*y - 1/28*y**4 - 1/14*y**3 - 3 + 0*y**2. Find j such that d(j) = 0.
-1, 0
Let n be 5/(35/(-42)) - -13. Let -n*f**2 - 13*f**2 - 8*f - 12*f - 7 + 2 = 0. What is f?
-1/2
Factor -5*v**5 + 157 - 400 + 95*v + 140 - 55*v**4 - 90*v**3 + 10*v**2 + 148.
-5*(v - 1)*(v + 1)**3*(v + 9)
Let y(g) = -g**2 + 17*g + 112. Let b be y(-5). Suppose -2*t - 4*s + 28 = 0, -5*t + 7*t + b*s = 18. Let -1/6*f**t + 0*f**2 + f**3 + 0*f + 0 = 0. Calculate f.
0, 6
Factor 86/9*z**2 - 368/9 - 284/9*z + 2/9*z**3.
2*(z - 4)*(z + 1)*(z + 46)/9
Let p(j) = j**3 + 30*j**2 - 33*j - 56. Let z be p(-31). Factor z*f**3 - 2*f**4 - 18*f**3 + 8*f**3 + 2*f**2 + 4*f.
-2*f*(f - 1)*(f + 1)*(f + 2)
Let v(y) = y**2 - y. Let u(a) be the first derivative of 1 + 5/3*a**3 - 5/4*a**4 + 25/2*a**2 - 10*a - 3*a**5. Let j(d) = u(d) + 20*v(d). What is m in j(m) = 0?
-1, 2/3, 1
Let v(l) be the third derivative of 1/12*l**4 + 0 + 254*l**2 - 1/336*l**8 + 0*l**3 + 1/70*l**7 - 1/120*l**6 + 0*l - 1/20*l**5. Factor v(a).
-a*(a - 2)*(a - 1)**2*(a + 1)
Let 1092/5*y**2 - 5488/5 + 2/5*y**4 - 4312/5*y - 82/5*y**3 = 0. Calculate y.
-1, 14
Suppose -32 = -60*z + 58*z + 3*h, -6*h = 48. Let y be (3/54)/(1/3). Let 1/3*s**3 + 0*s + y*s**2 + 0 + 1/6*s**z = 0. Calculate s.
-1, 0
Let v(y) = 3*y**2 - 24*y + 125. Let p(b) = -4*b**2 + 30*b - 134. Let w(s) = -5*p(s) - 6*v(s). Factor w(t).
2*(t - 8)*(t + 5)
Let j(s) = -227*s - 3856. Let n be j(-17). Let x(a) be the first derivative of 27 + n*a**3 - 3/4*a**4 - 3*a**2 + 0*a. Find t such that x(t) = 0.
0, 1, 2
Let c be (0 - 0*5/(-15))*(-3 + 2). Let o(q) be the second derivative of -1/20*q**5 + 1/6*q**3 + c - 1/30*q**6 + 1/4*q**4 - 12*q - q**2. Factor o(u).
-(u - 1)**2*(u + 1)*(u + 2)
Let y be ((-11)/(132/(-18)))/(2/4). Factor -9*g - 92*g**2 - 5*g**3 + 13*g**3 - 4 + y*g**5 - 2*g**5 + 90*g**2 + 6*g**4.
(g - 1)*(g + 1)**3*(g + 4)
Let j(m) be the third derivative of 59582*m**8/147 + 176824*m**7/147 + 17081*m**6/21 - 2085*m**5/7 + 270*m**4/7 - 18*m**3/7 - 764*m**2 - 2. Factor j(p).
4*(p + 1)**2*(62*p - 3)**3/7
Let o(q) be the first derivative of 5*q**3/6 + 455*q**2/4 + 225*q + 962. Suppose o(m) = 0. Calculate m.
-90, -1
Let r = -146745/7 + 293595/14. Factor 3*k**2 - 9*k**3 + 3/2*k**5 + 3/2*k**4 + r*k - 9/2.
3*(k - 1)**3*(k + 1)*(k + 3)/2
Let o be 484/253 - (-10)/115. Let n(r) be the first derivative of -2*r**o - 3*r**6 - 14/3*r**3 + 11/2*r**4 + 0*r + 14/5*r**5 + 6. Let n(w) = 0. What is w?
-1, -2/9, 0, 1
Suppose -21*d - 19 = -103. Let j(g) be the third derivative of -25/66*g**3 - 10*g**2 - 1/660*g**5 + 0 + 5/132*g**d + 0*g. Factor j(p).
-(p - 5)**2/11
Suppose 0 = -c + 5*a + 27, -595*a + 593*a = 4*c + 2. Let r(s) be the third derivative of 0*s - 7*s**c + 0 - 1/30*s**5 + 0*s**4 + 4/3*s**3. Solve r(h) = 0.
-2, 2
Let s(y) be the third derivative of 0 - 2/315*y**7 + 1/10*y**5 + 0*y**4 + 0*y**3 - 80*y**2 + 17/180*y**6 + 0*y. What is p in s(p) = 0?
-1/2, 0, 9
Let p(r) be the first derivative of -4*r**3/3 + 2*r**2 + 80*r + 8570. Factor p(w).
-4*(w - 5)*(w + 4)
Let d(h) be the third derivative of 3/4*h**5 - 25/24*h**4 + 102*h**2 + 0*h**3 + 0 - 1/8*h**6 - 1/42*h**7 + 0*h. Factor d(u).
-5*u*(u - 1)**2*(u + 5)
Suppose 4*f = 3*k - 38, -5*f = -k - 89 + 131. Find o, given that -2/3*o**k - 1/3*o**3 + 1/3*o**5 + 0 + 0*o + 2/3*o**4 = 0.
-2, -1, 0, 1
Let y = -24430/9 + 122159/45. Solve -1/5*s**2 + 1/5*s**3 - y*s + 0 + 1/5*s**4 = 0 for s.
-1, 0, 1
Suppose -1 = -3*d - 4*l + 1, 0 = 2*d + 4*l. Suppose -8*h - d + 18 = 0. Factor -3*r + 1 + 3*r**h - 1.
3*r*(r - 1)
Let a(r) = -6*r**3 - 4*r**2 + 4*r + 1. Let y be a(-2). Let q(g) be the first derivative of 2/21*g**3 + y + 8/7*g - 4/7*g**2. Find d such that q(d) = 0.
2
Determine j, given that -3/5*j**3 - 154587/5*j + 1362/5*j**2 + 0 = 0.
0, 227
Find g, given that 23108188*g + g**2 - 23108464*g + 274 + g**2 = 0.
1, 137
Let v(s) be the second derivative of 41 + s + 3/80*s**5 + 1/16*s**4 + 0*s**2 + 0*s**3. Let v(h) = 0. What is h?
-1, 0
Suppose -k - 29 = -69. Let p be ((-12)/(-10))/(24/k). Suppose i**3 - 768*i - 5*i**3 + 137*i**2 + 1179 - 41*i**p + 869 = 0. What is i?
8
Let l(f) be the third derivative of f**6/280 - 2243*f**5/140 + 1258883*f**4/56 - 1256641*f**3/14 + f**2 + 2632*f. Find v such that l(v) = 0.
1, 1121
Let w(p) be the first derivative of 115/6*p**2 - 70/3*p - 5/3*p**3 + 177. Determine s so that w(s) = 0.
2/3, 7
Let v = 169/670 + -7/134. Let d(q) be the first derivative of 0*q - 2/25*q**5 - v*q**4 + 2/15*q**3 + 2/5*q**2 - 18. Factor d(y).
-2*y*(y - 1)*(y + 1)*(y + 2)/5
Factor -284*n - 16198 + 226 - 2280 - 20*n**2 + 752*n + 17*n**2.
-3*(n - 78)**2
Let b be 8/6*22905/20360. Let 1 - 7/8*p**5 - 25/4*p**2 + 25/8*p**3 + 3/2*p + b*p**4 = 0. What is p?
-2, -2/7, 1, 2
Let u(h) = -h**3 + 20*h**2 + 337*h - 350. Let i(x) = x**3 - 60*x**2 - 1012*x + 1050. Let j(g) = 2*i(g) + 7*u(g). Solve j(d) = 0 for d.
-7, 1, 10
Suppose -4016 - 792 = -2404*i. Factor -56/13*g - 2/13*g**i - 392/13.
-2*(g + 14)**2/13
Let l(x) be the first derivative of 1/12*x**3 - 185 - 31/2*x**2 + 961*x. Factor l(h).
(h - 62)**2/4
Let k be (-1843 - -1887)*((-1*9/(-4) - 0) + -2). Factor k*u**2 - 21/8*u**3 + 8 + 1/8*u**4 - 33/2*u.
(u - 16)*(u - 2)**2*(u - 1)/8
Let y = 356 - 354. Suppose -2*l + 8 = 4*u - 0, -3*u + y*l + 13 = 0. Factor -24/13*a**2 - 20/13*a - 2/13*a**4 - 6/13 - 12/13*a**u.
-2*(a + 1)**3*(a + 3)/13
Factor -2838*x - 2834*x - 2823*x + 8507*x - 3*x**3 - 768 + 192*x**2.
-3*(x - 64)*(x - 2)*(x + 2)
Let z = 1351/10 + -2024/15. Determine k, given that 1/3 - 1/6*k - z*k**2 = 0.
-2, 1
Let u(q) be the third derivative of q**7/630 + 47*q**6/90 + 187*q**5/180 - 3583*q**2. Let u(h) = 0. What is h?
-187, -1, 0
Let c = 424886782/77 - 5517928. Let m = c - 570/7. Factor m*r**2 + 2/11*r**3 + 4/11 + 10/11*r.
2*(r + 1)**2*(r + 2)/11
Let y(p) be the third derivative of -p**5/12 + 485*p**4/24 + 1820*p**3/3 - p**2 + 5420. Determine g, given that y(g) = 0.
-7, 104
Suppose -3 = 8*t - 91. Suppose t*x - 40 = x. Determine j, given that 2957*j - 64 - 2957*j - 4*j**x + 32*j**2 = 0.
-2, 2
Let l(d) be the second derivative of 29/33*d**3 - 1/10*d**5 - 6/11*d**2 + 4/11*d**4 + 7*d - 6. Find z, given that l(z) = 0.
-1, 2/11, 3
Find n such that -198/7*n + 3/7*n**3 + 195/7*n**2 + 0 = 0.
-66, 0, 1
Let s(l) be the second derivative of -36/7*l**2 + 0 - 1/28*l**4 + 53*l - 25/14*l**3. Let s(v) = 0. Calculate v.
-24, -1
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