
0, 17
Let l(b) be the first derivative of b**4/16 + 5*b**3/3 + 77*b**2/8 - 121*b/2 + 234. Find g, given that l(g) = 0.
-11, 2
Find h, given that 60850*h - 60850*h - 5*h**4 - 70*h**3 - 65*h**2 = 0.
-13, -1, 0
Let d(n) be the first derivative of 0*n**2 + 1/5*n**4 - 7 + 0*n + 1/15*n**3 + 3/25*n**5. Solve d(x) = 0.
-1, -1/3, 0
Let c(z) be the first derivative of -8*z - z**4 + 2*z**2 + 12 + 8/3*z**3. Find u, given that c(u) = 0.
-1, 1, 2
Let f = 36 + -33. What is z in 38*z**3 - 77*z**f + z**4 + 38*z**3 = 0?
0, 1
Let w(l) be the third derivative of 2*l**2 + 55/12*l**4 - 5/3*l**6 - 5/2*l**3 + 0 + 8/21*l**7 + 0*l - 31/12*l**5. What is v in w(v) = 0?
-1, 1/4, 3
Let d(j) be the third derivative of -j**5/360 - 11*j**4/144 - 115*j**2. Determine y so that d(y) = 0.
-11, 0
Let o = -710 + 2132/3. Factor 2/3 - 4/3*b**3 + 0*b**2 + 4/3*b - o*b**4.
-2*(b - 1)*(b + 1)**3/3
Let f(a) be the third derivative of a**8/72 - 4*a**7/7 + 323*a**6/45 - 272*a**5/15 - 16*a**4 - 98*a**2. Suppose f(b) = 0. Calculate b.
-2/7, 0, 2, 12
Suppose 2*m - 28 = 5*p, 3*m - 4*p + 0*p - 35 = 0. What is s in -12 + 2*s**2 - 2*s - 8*s - m*s + 21*s = 0?
-3, 2
Let o(k) = -5*k**2 - 4*k + 1. Let b(i) be the third derivative of i**4/24 + i**3/6 + 3*i**2. Let y(t) = -6*b(t) + o(t). Determine j so that y(j) = 0.
-1
Let z(u) be the first derivative of 48 + 0*u + 2/7*u**3 + 1/7*u**2 + 1/7*u**4. Find y, given that z(y) = 0.
-1, -1/2, 0
Let o(p) be the second derivative of -p**6/75 - p**5/25 + 2*p**3/15 + p**2/5 + 2*p - 2. Find h such that o(h) = 0.
-1, 1
Let r(k) = -k**3 + 7*k**2 - 4*k - 7. Let v be 8/1 - (7 + -5). Let l be r(v). Factor -2*d**l - d**5 + 0*d**3 - 3*d**3 - 2*d**4 - 4*d**4.
-3*d**3*(d + 1)**2
Let r = -28199/24 + 1175. Let g(b) be the second derivative of 5*b + 1/60*b**6 - 1/6*b**3 + 1/20*b**5 - r*b**4 + 0 + 0*b**2. Solve g(z) = 0 for z.
-2, -1, 0, 1
Let k(q) = q**4 + q - 1. Suppose 9*h = 2*h - 35. Let u(z) = -4*z**4 + 4*z**3 + 5*z**2 - 3*z + 5. Let y(p) = h*k(p) - u(p). Factor y(d).
-d*(d + 1)**2*(d + 2)
Let r(q) be the second derivative of q**6/360 + q**5/36 + q**4/9 + 2*q**3/9 + 5*q**2 - 13*q. Let i(x) be the first derivative of r(x). What is t in i(t) = 0?
-2, -1
Solve 31/4*r - 7/2*r**2 - 1/4*r**3 - 4 = 0.
-16, 1
Let v = 663/5 + -132. Let 0*l**2 - 3/5*l**3 + 0 + v*l = 0. What is l?
-1, 0, 1
Suppose -4*w = -69 + 209. Let p be 60/w - 0 - -2. Find i, given that 2/7*i**3 - 2/7*i - 2/7 + p*i**2 = 0.
-1, 1
Find r, given that 186/11*r - 18/11*r**3 + 90/11 - 258/11*r**2 = 0.
-15, -1/3, 1
Let u be (0 + -1)*4/(12/(-9)). Factor 112*m - u + m**2 - 110*m + 0.
(m - 1)*(m + 3)
Let a(y) be the first derivative of -2*y - 1/6*y**4 - 1/20*y**5 + 0*y**3 - 5 + 0*y**2. Let s(d) be the first derivative of a(d). Factor s(q).
-q**2*(q + 2)
Let l(p) be the second derivative of p**7/189 + 7*p**6/135 - p**5/5 + p**4/27 + 17*p**3/27 - p**2 + 21*p - 13. Let l(c) = 0. What is c?
-9, -1, 1
Suppose 12 = 4*g - 3*y, 4*g + 3*y + 7 + 5 = 0. Let q = -1607/9 - -179. Determine n so that 0*n**2 + g - 2/3*n**4 + 2/9*n**3 + q*n**5 + 0*n = 0.
0, 1/2, 1
Suppose -4/3 - 2/3*n**4 - 2/3*n + 1/6*n**3 + 1/6*n**5 + 5/3*n**2 = 0. What is n?
-1, 2
Let s(h) = -h + 5. Let x be s(3). Suppose 4*t = x*t, 4*f - 4*t - 316 = 0. Find i, given that f*i - 3*i**2 - 27 + 0 - 61*i = 0.
3
Let m(q) be the first derivative of q**6/2 + 15*q**5 - 3*q**4/4 - 25*q**3 - 107. Suppose m(w) = 0. Calculate w.
-25, -1, 0, 1
Let l(o) = 6*o**3 + o**2 - o - 1. Let k be l(2). Suppose -m + 2*m = k. Suppose 4*f**4 - 42*f**5 + 22*f**4 + m*f**3 - 8*f**2 - 25*f**3 = 0. What is f?
-2/3, 0, 2/7, 1
Determine z, given that 12*z**2 - 16 + 16*z**4 - 3*z**3 - 17*z**3 - 69*z - 45*z**2 + 149*z - 27*z**2 = 0.
-2, 1/4, 1, 2
Let x = 108 - 69. Suppose 11*k = 24*k - x. Determine p, given that 2/7*p**4 + 2/7*p**2 - 4/7 + 6/7*p**k - 6/7*p = 0.
-2, -1, 1
Let j(p) = -2*p**2 - 192*p - 1074. Let z be j(-90). Factor -3*b**2 - 21/2*b + 3/2*b**3 - z.
3*(b - 4)*(b + 1)**2/2
Let a(k) = k**2 - 2. Let t(l) = 7*l - 10*l**2 + 18*l + 80 + 5*l**2 - 15*l**2. Let f(v) = -25*a(v) - t(v). Determine i so that f(i) = 0.
-3, -2
Let h(x) = -x**2 - 35*x + 105. Let v(t) = 36*t - 104. Let p = -7 - -2. Let u(m) = p*v(m) - 4*h(m). Let u(g) = 0. What is g?
5
Let m = -18 + 31. Suppose -5*i + 3*k + 35 = 0, -4*i - 4*k = k - 28. Find g such that 27 + 3*g**2 - i*g + 5*g + 7*g + m*g = 0.
-3
Let k(l) be the second derivative of l**7/63 - l**6/15 - 2*l**5/15 + 296*l - 2. Solve k(o) = 0.
-1, 0, 4
Let p(y) be the second derivative of -y**7/42 + y**6/72 + y**5/6 - 5*y**4/24 - 5*y**3/3 + 13*y. Let m(h) be the second derivative of p(h). Factor m(k).
-5*(k - 1)*(k + 1)*(4*k - 1)
Suppose 48 = 2*m + 5*i, 2*m - 9 - 39 = -2*i. Suppose 3*b + m = c + 2*c, 12 = c - 2*b. Suppose 0 + 4/7*d - 4/7*d**2 + 4/7*d**c - 4/7*d**3 = 0. Calculate d.
-1, 0, 1
Suppose 0 = f - 3*h - 14 - 3, -4*f - 4*h - 12 = 0. Find z, given that -4*z**f + z**2 - 9*z + 222*z**4 + 9*z**3 - 219*z**4 = 0.
-3, -1, 0, 1
Factor 15/2*d**2 + 5*d**3 + 0 + 5/2*d.
5*d*(d + 1)*(2*d + 1)/2
Let p(d) = 16*d**2 + 562*d + 72. Let o be p(-35). Factor -2*s**3 + 14/17*s**4 - 6/17*s + 26/17*s**o + 0.
2*s*(s - 1)**2*(7*s - 3)/17
Let o be -3 - (-3 - -2) - 2/1. Let s be 6/8 - 5/o. Let 2/7*t**s - 2/7*t**4 + 2/7*t**5 + 0 - 2/7*t**3 + 0*t = 0. What is t?
-1, 0, 1
Let l(p) be the second derivative of -8/5*p**2 - 23/150*p**6 + 1/70*p**7 + 0 - p + 17/25*p**5 - 8/5*p**4 + 32/15*p**3. Find w such that l(w) = 0.
2/3, 1, 2
What is r in -2/9*r**4 + 2*r + 2/9*r**5 - 20/9*r**3 - 2 + 20/9*r**2 = 0?
-3, -1, 1, 3
Let u = -56 + 75. Factor 4*h - 2*h + 17*h**3 - u*h**3.
-2*h*(h - 1)*(h + 1)
Factor m - 17 + m**2 - 4 + 15 + m**2 - 15.
(m - 3)*(2*m + 7)
Let d be 1 + 95204/(-28)*(1 - 0). Let u = d + 3414. Suppose -100/7*m**4 + 32/7 + u*m**2 + 144/7*m - 180/7*m**3 = 0. Calculate m.
-2, -2/5, 1
Let t(b) be the third derivative of -b**7/420 - 7*b**6/240 + 17*b**5/120 - 3*b**4/16 - 193*b**2. Suppose t(g) = 0. What is g?
-9, 0, 1
Let j(h) be the third derivative of h**5/510 + 29*h**4/102 + 841*h**3/51 + 9*h**2 - 4. Let j(z) = 0. Calculate z.
-29
Factor 4*l**2 - 14*l + 128*l**3 + 8 - 66*l**3 - 60*l**3.
2*(l - 1)**2*(l + 4)
Suppose 501 = 10*m - 1159. Solve -16 - 190*b + m*b + 4*b**2 + 6*b**3 + 8*b**3 - 2*b**5 = 0.
-2, -1, 2
Let p = 391/3 + -129. Solve 16/3*d - p + 16/3*d**3 - 4/3*d**4 - 8*d**2 = 0 for d.
1
Let f(z) be the third derivative of -1/72*z**4 + 0*z**3 - 24*z**2 - 1/180*z**5 + 0*z + 0. Solve f(a) = 0.
-1, 0
Let p(m) be the second derivative of m - 1/5*m**5 - 4/3*m**3 + 0*m**2 + 0 - m**4. Determine c, given that p(c) = 0.
-2, -1, 0
Determine g so that 0 - 144*g**2 - 384*g - 99/4*g**4 + 3/4*g**5 + 429/2*g**3 = 0.
-1, 0, 2, 16
Let s be 1 - 59*(-5 + 4). Factor 10*y**2 + s*y + 720 + y - 5*y**2 + 59*y.
5*(y + 12)**2
Factor w**4 - 150*w**3 + 210*w**3 - 3*w**4.
-2*w**3*(w - 30)
Suppose -5*n - 18 = -2*i + 1, i + 2*n + 4 = 0. Let d be 4/8*(3 + 14/2). Factor -d + 3 - 7*m - 4 - m - 2*m**i.
-2*(m + 1)*(m + 3)
Suppose -2*u + 26 = 4*z, 27 = 3*u + 7*z - 4*z. Let y(x) be the second derivative of -x + 14/3*x**3 + 5*x**4 + 0 + 13/5*x**u + 8/15*x**6 + 2*x**2. Factor y(o).
4*(o + 1)**3*(4*o + 1)
Let m(y) be the first derivative of -y**4/14 - 226*y**3/21 - 464*y**2 - 896*y + 561. Factor m(g).
-2*(g + 1)*(g + 56)**2/7
Let y be 4/26 + (-14)/(-273)*-3. Let w(z) be the second derivative of -1/30*z**4 - 4/15*z**3 - 3/5*z**2 + y - 4*z. Determine v, given that w(v) = 0.
-3, -1
Let y(r) = -r**4 + 10*r**3 + 9*r**2 - 2. Let j(q) = -q**4 + q**3 + q**2 - 1. Let p(u) = -8*j(u) + 4*y(u). Suppose p(x) = 0. Calculate x.
-7, -1, 0
Let p(k) be the first derivative of -k**5/90 - k**4/27 - 6*k - 14. Let l(o) be the first derivative of p(o). Determine d so that l(d) = 0.
-2, 0
Let q(d) = -10*d - 1 - 10 + 15*d. Let p be q(3). Factor 1/3*l - 1/3*l**5 + 0 + 0*l**3 - 2/3*l**2 + 2/3*l**p.
-l*(l - 1)**3*(l + 1)/3
Let z(r) be the first derivative of -1/15*r**5 + 1/9*r**3 + 0*r + 5 - 1/3*r**2 + 1/6*r**4. Factor z(k).
-k*(k - 2)*(k - 1)*(k + 1)/3
Suppose 4/3 + 64/9*a**2 - 50/9*a - 8/3*a**3 = 0. What is a?
1/2, 2/3, 3/2
Let x(h) be the second derivative of h**5/30 - 5*h**4/6 + 8*h**3 - 36*h**2 - 59*h. Determine k, given that x(k) = 0.
3, 6
Let y(t) = t**2 - 2*t + 1. Let o(q) = -2*q**3 - 18*q**2 + 42*q - 22. Let n(m) = -o(m) + 4*y(m). Factor n(j).
2*(j - 1)**2