*o + o**2.
-3*(o - 15)**2
Suppose -4*l - 23 = -g, l = 2*g + 2*l - 28. Let x be 10/g*9/2. What is j in -j**x - j**4 - 4*j - 2*j**2 - 6*j**2 - 4*j**3 = 0?
-2, -1, 0
Let v be 8/(-20) + (-897)/(-1955) + (-133)/(-51). Determine w, given that 8/3*w + v*w**2 + 2/3*w**3 + 0 = 0.
-2, 0
Let w(o) be the third derivative of o**7/42 + 11*o**6/24 + 37*o**5/12 + 75*o**4/8 + 15*o**3 - 95*o**2 + 3. Determine i so that w(i) = 0.
-6, -3, -1
Solve 6*p**2 - 9/2*p**3 + 6*p - 6*p**4 - 3/2*p**5 + 0 = 0 for p.
-2, -1, 0, 1
Find s, given that 62/15*s**3 + 0 + 46/15*s**2 + 2/5*s**5 + 4/5*s + 34/15*s**4 = 0.
-3, -1, -2/3, 0
Let o be (-556)/(-20)*20/16. Let c = 35 - o. Find l such that c*l - 1/4*l**2 - 1/4*l**3 + 1/4 = 0.
-1, 1
Let k(p) = 2*p**2 - 477*p + 11520. Let j(c) = -15*c**2 + 3340*c - 80640. Let b(x) = 3*j(x) + 20*k(x). Factor b(v).
-5*(v - 48)**2
Let a = 827/2 + -412. Let k(o) be the first derivative of 6*o - a*o**3 - 1 - 3/8*o**4 + 0*o**2. Find b, given that k(b) = 0.
-2, 1
Let m(i) be the second derivative of i**6/105 + 3*i**5/70 + i**4/14 + i**3/21 - 277*i. Factor m(h).
2*h*(h + 1)**3/7
Let s(f) be the second derivative of -f**5/80 - f**4/12 + f**3/24 + f**2/2 + 28*f + 1. Factor s(d).
-(d - 1)*(d + 1)*(d + 4)/4
Let o(w) be the second derivative of 1/294*w**7 - 1/35*w**6 + 2/21*w**3 - 9*w + 0 + 13/140*w**5 - 1/7*w**4 + 0*w**2. Factor o(q).
q*(q - 2)**2*(q - 1)**2/7
Let g be 23/4 - (-3)/12. Let s be 3/(g + 3)*3. Determine a so that 0 + 2*a**2 - 1 - s = 0.
-1, 1
Suppose -11*u + 591 = 536. Let a(j) be the first derivative of u*j**2 - 1/3*j**3 - 25*j - 3. Factor a(f).
-(f - 5)**2
Suppose -1/8*h**5 - 5/4*h**2 - 5/8*h - 1/8 - 5/4*h**3 - 5/8*h**4 = 0. What is h?
-1
Let z(t) be the first derivative of 4*t**5/15 + 98*t**4/3 - 400*t**3/3 + 604*t**2/3 - 404*t/3 + 246. What is s in z(s) = 0?
-101, 1
Let o(g) = -2*g**3 + g**2 + 7*g - 6. Let n be o(2). Let k be (-4)/(-36)*0*(-2)/n. Factor 1/3*f + k + 1/6*f**3 - 1/2*f**2.
f*(f - 2)*(f - 1)/6
Let a be 4 + -10 - 0/(-2). Let v(n) = 2*n**2 + 10*n - 8. Let d be v(a). Factor d*h**3 - 6*h**3 + h**3 + 3*h**2 - 2*h**2.
-h**2*(h - 1)
Let z(x) be the second derivative of -x**5/60 + 5*x**4/36 + 25*x**3/18 - 125*x**2/6 + 146*x + 1. Determine q so that z(q) = 0.
-5, 5
Let y(w) = w**2 + 1. Let v(p) = -16*p**2 - 10*p**2 - 7*p + p - 6 + 5*p**2. Let z(l) = v(l) + 6*y(l). Find j, given that z(j) = 0.
-2/5, 0
Factor -39/5*a**2 + 3/5*a**3 + 69/5*a - 33/5.
3*(a - 11)*(a - 1)**2/5
Determine f so that 3/7*f**3 - 30/7 - 3*f + 12/7*f**2 = 0.
-5, -1, 2
Let c = -68308/135 + 506. Let b(r) be the second derivative of 0*r**2 - 1/189*r**7 + 1/27*r**3 + 6*r + 0 - c*r**6 + 1/27*r**4 + 0*r**5. Factor b(i).
-2*i*(i - 1)*(i + 1)**3/9
Suppose 4*o = 4*u + 4, -4*o - 14 = -0*o + 2*u. Let b be (6/(-2))/((-3)/o) + 6. Suppose 3/2*x**5 + 3*x**2 + 0 + 6*x**b + 15/2*x**3 + 0*x = 0. What is x?
-2, -1, 0
Suppose 32/5*x**3 - 2/5*x**4 - 128/5*x**2 + 0*x + 0 = 0. Calculate x.
0, 8
Factor 0 - 2/11*c**2 - 152/11*c.
-2*c*(c + 76)/11
Let z(c) = c - 4. Let n be z(6). Suppose -n*j + 4*j = 6. What is v in -6*v**j - 2*v**3 + 4*v + 0*v - 2*v**3 + 6*v**2 = 0?
-2/5, 0, 1
Let c = 326442 + -120456989/369. Let y = -3/41 + c. Let -2/9*a**3 - y*a**2 + 2/9*a**5 + 2/9*a**4 + 0*a + 0 = 0. Calculate a.
-1, 0, 1
Let a(q) be the second derivative of 1/50*q**5 - 12*q - 1/105*q**7 + 0*q**6 + 0*q**3 + 0 + 0*q**4 + 0*q**2. Factor a(b).
-2*b**3*(b - 1)*(b + 1)/5
Let s(d) be the third derivative of -d**10/37800 - d**9/15120 - d**5/2 - 18*d**2. Let n(u) be the third derivative of s(u). Factor n(a).
-4*a**3*(a + 1)
Let z(t) be the first derivative of -2*t**5/5 - t**4/2 + 2*t**3 + t**2 - 4*t - 303. Solve z(l) = 0.
-2, -1, 1
Let h = -18 - -5. Let q = -11 - h. Factor 22*j - 2*j**2 - j**q - 22*j + 3*j**3.
3*j**2*(j - 1)
Factor -8*i**3 + 22*i + i**3 - 11 - 11*i**3 - 24*i**2 + 7.
-2*(i + 2)*(3*i - 1)**2
Let g = -4 - -8. Let o(z) be the first derivative of 2/15*z**5 + 2/9*z**3 - z**2 - 4/3*z + 1/2*z**g - 4. Solve o(s) = 0 for s.
-2, -1, 1
Let j be (-15)/(-30) + -1*(-4)/(-8). Let w(o) be the third derivative of 1/24*o**4 - 1/60*o**5 + 0 - 1/120*o**6 + 1/6*o**3 + j*o - 6*o**2. Solve w(a) = 0 for a.
-1, 1
Let z(j) be the second derivative of 1/18*j**6 + 49/18*j**4 + 38/3*j**3 + 28*j + 12*j**2 + 0 - 53/60*j**5. What is u in z(u) = 0?
-1, -2/5, 6
Let q(t) be the first derivative of -3*t**5/10 - 5*t**4/4 - t**3/2 + 3*t**2 + 32*t + 5. Let i(v) be the first derivative of q(v). Let i(z) = 0. What is z?
-2, -1, 1/2
Let a = 26242/209 - 1380/11. Factor -a - 2/19*n**2 - 4/19*n.
-2*(n + 1)**2/19
Let k(b) = 2*b**3 - b**2 - 4*b. Let n be k(2). Suppose 5*c - n - 11 = 0. Factor 0 + 0*j**2 + 2/5*j**c + 0*j.
2*j**3/5
Let b = -4631/3460 + 27/20. Let w = 698/519 - b. Factor w*q - 2/3*q**2 - 2/3.
-2*(q - 1)**2/3
Suppose -14*f + 17*f = 57. Factor 59*s + 16 - f*s + 5*s**2 + 64.
5*(s + 4)**2
Let h(r) = -r**2 + 2*r - 7. Let g be h(-7). Let x be (-4)/2*(g/(-15) - 5). Let 0*j**2 + 2*j - x*j**3 + 4/3 = 0. What is j?
-1, 2
Let l = -7815 + 7815. Let 1/4*s**3 + 0*s**2 + 0 - 1/4*s**5 + l*s + 0*s**4 = 0. Calculate s.
-1, 0, 1
Solve -1/6*a**2 + 0 - 1/2*a = 0.
-3, 0
Let p be (((-2)/12)/(1/4))/(-3). Factor -8/9 - p*r**2 - 8/9*r.
-2*(r + 2)**2/9
Suppose -41*z + 61 - 51 - 16*z**3 + z**4 + 36*z**2 + z**4 + 9*z = 0. What is z?
1, 5
Let b be ((-25)/(350/(-8)))/((-9)/(-14)). Suppose -2/9*g**2 - 10/9*g - b = 0. What is g?
-4, -1
Let g be (-2)/(90/(-27))*(-5 - 102/(-18)). Let 8/5*z**3 - 8/5*z + 0 - 2/5*z**4 + g*z**2 = 0. Calculate z.
-1, 0, 1, 4
Let j(r) be the first derivative of 4*r**5/15 - 10*r**4/3 + 16*r**3 - 112*r**2/3 + 128*r/3 - 45. Factor j(k).
4*(k - 4)*(k - 2)**3/3
Let b(x) be the second derivative of -x**5/150 + 4*x**4/45 - 16*x**3/45 + x + 137. Factor b(z).
-2*z*(z - 4)**2/15
Let u(k) be the first derivative of -k**4/5 - 8*k**3/15 - 2*k**2/5 - 219. What is y in u(y) = 0?
-1, 0
Let m = 2065 + -2063. Let y(g) be the first derivative of g**m - 1/9*g**3 - 3*g + 11. Let y(u) = 0. Calculate u.
3
Let d = -36/85 - -2/85. Let m = -4/35 - d. Factor 0 + 2*w**3 + 6/7*w**4 + 10/7*w**2 + m*w.
2*w*(w + 1)**2*(3*w + 1)/7
Suppose -4*q - 4*g = 0, -5*q + 8*q + 2*g + 3 = 0. Let z be (-15)/(-20)*-1*(q + 0). Suppose -9/4*m + 3/4 - 3/4*m**3 + z*m**2 = 0. What is m?
1
Let c(h) be the first derivative of 5/16*h**4 - 23 + 3/8*h**2 - 1/20*h**5 + 0*h - 7/12*h**3. Determine v, given that c(v) = 0.
0, 1, 3
Let f be (-2)/3*(3 + -10 + 4). Solve -20*o**4 + 7*o**3 - 14*o**3 + 8*o**f + 13*o**3 - 8*o + 6*o**5 + 8*o**3 = 0.
-2/3, 0, 1, 2
Let o(d) be the first derivative of 7*d**3/3 + 10*d**2 + 13*d + 10. Let b(m) = m**2 - 1. Let s(k) = 2*b(k) - o(k). Factor s(q).
-5*(q + 1)*(q + 3)
Let x(p) be the first derivative of -22 - 5/6*p**6 + 135/2*p**2 + 6*p**5 + 270*p - 5/2*p**4 - 60*p**3. Solve x(y) = 0.
-2, -1, 3
Suppose -70 = 3*j - 5*j + 5*k, 0 = 4*j + 2*k - 116. Let w be 25/j + 4/(-8). Factor 2/3 + 1/3*n - w*n**2.
-(n - 2)*(n + 1)/3
Let m(k) be the third derivative of k**5/10 + 3*k**4/8 + 49*k**3/6 - 26*k**2. Let i(x) = -7*x**2 - 8*x - 49. Let s(u) = -5*i(u) - 6*m(u). Factor s(y).
-(y + 7)**2
Let x = 459/22 - 3169/154. Factor 4/7*k + 0 - x*k**2.
-2*k*(k - 2)/7
Let f be -3 - (3 + 96/(-36))/((-2)/30). What is z in 3/4 + z + 1/4*z**f = 0?
-3, -1
Let m(o) be the second derivative of -o**4/30 + 4*o**3/15 + o**2 + 42*o - 2. Factor m(i).
-2*(i - 5)*(i + 1)/5
Solve -94*p**3 - 145*p**2 + 325*p - 86*p**3 + 125 + 195*p**3 = 0 for p.
-1/3, 5
Let y(r) be the second derivative of -r**6/15 + r**5/5 + 7*r**4/6 + 4*r**3/3 - 94*r. Factor y(n).
-2*n*(n - 4)*(n + 1)**2
Let n = 4/1719 + 20608/8595. Factor 4*o + n*o**2 + 8/5.
4*(o + 1)*(3*o + 2)/5
Let z = -1422 + 9957/7. Let -6/7 + z*m**2 - 3/7*m = 0. What is m?
-1, 2
Let t = 2572 - 12856/5. Determine b so that 0 + 21/5*b**2 - t*b**3 - b = 0.
0, 1/4, 5
Suppose 0 = -7739*k + 7729*k. Factor k + 8/3*m + 2/3*m**2 - 2/3*m**4 - 8/3*m**3.
-2*m*(m - 1)*(m + 1)*(m + 4)/3
Let d(x) be the first derivative of -x**6/9 + x**4/6 + 70. Factor d(m).
-2*m**3*(m - 1)*(m + 1)/3
Let y(z) = -9*z**2 + 126*z + 256. Let v(s) = -3*s**2 + 42*s + 84. Let r(j) = -8*v(j) + 3*y(j). Determine o so that r(o) = 0.
-2, 16
Let t(w) be the first derivative of 5*w**4/16 + 5*w**3/12 + 85. Let t(x) = 0. Calculate x.
-1, 0
Let 0*j**3 + 32/9*j**2 + 0*j - 64/9 - 4/9*j**4 = 0. Calculate j.
-2, 