*2.
-5*(u - 1)**2*(u + 1)
Let f(u) = 58*u - 404. Let l be f(7). Let j(a) be the third derivative of 0*a - 4/3*a**3 - 1/15*a**5 - l*a**2 + 1/2*a**4 + 0. Factor j(v).
-4*(v - 2)*(v - 1)
Let a(u) = -u**3 - 27*u**2 + 60*u + 58. Let h be a(-29). Factor 8/17*s + h + 8/17*s**2 + 2/17*s**3.
2*s*(s + 2)**2/17
Suppose -91 = -j - 72. Suppose -11*d = -j*d. Find i such that 8/3*i + d - 8/3*i**3 + 2/3*i**2 - 2/3*i**4 = 0.
-4, -1, 0, 1
Let s = -70 + 76. Let p be (8/(-110))/(s/(-15)). Factor 0 + 6/11*t**2 - 4/11*t - p*t**3.
-2*t*(t - 2)*(t - 1)/11
Let k(x) be the first derivative of -3*x**5/5 - 12*x**4 - 46*x**3 + 216*x**2 - 243*x - 91. Find d, given that k(d) = 0.
-9, 1
Suppose 3*v - 22 - 26 = 0. Suppose x = 2*b - 16, -b - b - 4*x + v = 0. Factor b + 2*k**2 - 2*k**4 - 3*k**2 - 8*k**3 - k**2 - 4*k**2 + 8*k.
-2*(k - 1)*(k + 1)*(k + 2)**2
Find v, given that 128 + 2/9*v**3 + 152/3*v + 56/9*v**2 = 0.
-16, -6
Let -21*l**3 - 6*l**2 + 35*l**3 - 16*l**3 - 4*l = 0. Calculate l.
-2, -1, 0
Suppose 4*w + 41 + 47 = 0. Let g = 1 - w. Factor 7*h - 4*h**2 + 13*h - g + 7.
-4*(h - 4)*(h - 1)
Let t(s) = 5 - 6*s**2 - 3*s + 5*s**2 - 6*s + 15*s. Let z(a) = -2*a**2 + 9*a + 7. Let k = -7 + 0. Let u(f) = k*t(f) + 5*z(f). Factor u(b).
-3*b*(b - 1)
Let n be 954/378 - ((-425)/35 + 12). Factor -16/3*a**3 - 2*a**4 - n*a**2 + 0*a + 0.
-2*a**2*(a + 2)*(3*a + 2)/3
Suppose 0 = 7*f + 9 - 2. Let v be (3 - f) + (1 - 2). What is d in 8*d**2 - v*d + 0*d - 9*d**2 + 2*d = 0?
-1, 0
Let i = 12748/44569 + -2/6367. Suppose -2/7*g + 0 - i*g**2 = 0. What is g?
-1, 0
Determine l, given that 5/2*l**2 + 0 - 165/2*l = 0.
0, 33
Let h(d) be the third derivative of 0*d + 0 - 2*d**2 + 1/30*d**5 + 0*d**3 + 1/12*d**4. Factor h(y).
2*y*(y + 1)
Factor -30*z + 2*z**3 - 10*z**2 + 2*z**4 - 6*z + 27 - 45 + 2*z**3 - 6*z**2.
2*(z - 3)*(z + 1)**2*(z + 3)
What is q in 32*q - 6*q**2 + 25*q + 3062*q**3 - 3065*q**3 + 60 = 0?
-5, -1, 4
Let p(k) be the first derivative of 26*k**3/3 + 4*k**2 + 8*k/13 + 81. Factor p(b).
2*(13*b + 2)**2/13
Let c + 2*c + 2*c**2 + 6*c - c = 0. What is c?
-4, 0
Let u(p) be the third derivative of 0 + 1/108*p**4 - 5/27*p**3 - 1/540*p**6 + 1/54*p**5 - 3*p**2 + 0*p. Factor u(b).
-2*(b - 5)*(b - 1)*(b + 1)/9
Let g(b) be the third derivative of 0*b + 6*b**2 - 1/60*b**5 + 1/24*b**4 + 1/3*b**3 + 0. Solve g(u) = 0.
-1, 2
Suppose -20*k - 19 + 59 = 0. Let h(z) be the second derivative of -1/42*z**4 + 2/7*z**k - 1/21*z**3 + 0 - 6*z. Factor h(a).
-2*(a - 1)*(a + 2)/7
Suppose -4*j - 13 = -5*q - 5, 5*j - 5*q + 5 = 0. Suppose 4*i = 20, 5*i = -7*o + 2*o + 60. Factor -3*v + o*v**2 - j*v**3 - 3*v**2 + 2*v**2.
-3*v*(v - 1)**2
Let f(d) be the first derivative of 2*d**6/15 + d**5/5 - 2*d**4/3 - d + 16. Let o(z) be the first derivative of f(z). Factor o(l).
4*l**2*(l - 1)*(l + 2)
Let n(r) be the second derivative of r**5/60 - 2*r**4/9 + 5*r**3/18 + 7*r**2/3 + 338*r. Factor n(s).
(s - 7)*(s - 2)*(s + 1)/3
Let i be 5 + 1 + 2 + -4. Suppose -4*z + 46 = 2*a, 2*a + 49 = i*z + a. Factor 24*r**3 + 12*r**2 + 56*r**5 + 3*r**4 - 83*r**5 - z*r**4.
-3*r**2*(r - 1)*(3*r + 2)**2
Let n(i) be the second derivative of -i**5/120 + i**4/8 + 43*i**2/2 + 45*i. Let v(t) be the first derivative of n(t). Solve v(j) = 0 for j.
0, 6
Let m(d) be the second derivative of d**6/255 - 7*d**5/170 + d**4/17 + 28*d**3/51 - 40*d**2/17 + 9*d + 2. What is y in m(y) = 0?
-2, 2, 5
Factor 3/2*v**2 - 6*v + 5*v**3 - 2 + 3/2*v**4.
(v - 1)*(v + 2)**2*(3*v + 1)/2
Suppose -4*a + 220 = -0*a. Let w be (22/a)/(((-14)/5)/(-2)). Factor 0 - 2/7*m**3 + 5/7*m**2 + w*m - 5/7*m**4.
-m*(m - 1)*(m + 1)*(5*m + 2)/7
Suppose -5*x - p = -23, -2*x + p + 1 = -11. Let s(f) be the second derivative of 1/60*f**x - 1/3*f**2 + 5/18*f**3 + 4*f - 1/9*f**4 + 0. What is z in s(z) = 0?
1, 2
Let c(o) be the second derivative of -o**5/10 - 7*o**4/6 + 8*o**3/3 + 12*o + 15. Solve c(i) = 0 for i.
-8, 0, 1
Let t(q) = 4*q**5 - 12*q**4 + 138*q**3 + 862*q**2 - 3330*q - 4050. Let z(p) = -p**5 - p**4 - p**3 + p**2. Let f(u) = -t(u) - 6*z(u). Let f(n) = 0. Calculate n.
-9, -1, 5
Factor -29*o - 3*o**2 + 2*o**3 + 58*o - 29*o - o**2.
2*o**2*(o - 2)
Let w(d) be the third derivative of -d**7/490 - d**6/70 + d**5/28 - 9*d**2 - 19*d. Factor w(k).
-3*k**2*(k - 1)*(k + 5)/7
Let t(c) = -2*c**3 - 12*c**2 - 12*c + 12. Let s(f) = -2*f**2 - f + 1. Let p(m) = 12*s(m) - t(m). Determine x, given that p(x) = 0.
0, 6
Suppose -3*j + 3*l + 24 = 0, 9 = -3*l - 0*l. Let q(i) be the second derivative of 0*i**2 - 1/4*i**4 - 3/10*i**j - 1/10*i**6 + 0*i**3 + 0 + 4*i. Factor q(n).
-3*n**2*(n + 1)**2
Let m(t) = -2*t**5 - t**3 + 1. Let f(j) = 4*j**5 - 10*j**4 - 15*j**3 - 14*j**2 - 4*j - 3. Let r(v) = -2*f(v) - 6*m(v). Solve r(x) = 0.
-2, -1, 0
Let k(r) = -r**3 - 23*r**2 - 21*r + 25. Let m be k(-22). Suppose -5*n**2 - 192 + 99*n + 5*n**2 + 3*n**m + 45*n**2 + 45*n = 0. What is n?
-8, 1
Let g(l) = 20*l**4 - 285*l**3 + 265*l**2 + 30. Let y(o) = 5*o**4 - 71*o**3 + 66*o**2 + 8. Let b(j) = 4*g(j) - 15*y(j). Factor b(s).
5*s**2*(s - 14)*(s - 1)
Let x be (728/724 - 1)/((-3)/(-1801)). Let k = 3/181 + x. Let k*l + 8/3*l**3 + 16/3*l**2 + 2/3 = 0. What is l?
-1, -1/2
Suppose -4*k - 16 = 2*p, -4*p + 3*k = 5 - 17. Let q(t) be the third derivative of 0 - 5*t**2 - 1/3*t**3 - 1/60*t**5 - 1/8*t**4 + p*t. Factor q(b).
-(b + 1)*(b + 2)
Suppose 4*f + 4*m = 192, 3*f = m + 41 + 111. Find l, given that -115/2*l**2 - f*l - 10 - 35/2*l**3 = 0.
-2, -1, -2/7
Let h be -1 + 9 + (12 - 10). Factor -h*a + 2*a**2 - 2*a + 8 - 10*a**2.
-4*(a + 2)*(2*a - 1)
Factor -14/3*b**2 + 46/3*b - 4.
-2*(b - 3)*(7*b - 2)/3
Suppose -30*b = -18*b. Let d(x) be the second derivative of -2/5*x**3 + b - 4*x - 1/30*x**4 - 9/5*x**2. Suppose d(j) = 0. Calculate j.
-3
Let x(p) be the first derivative of -9/16*p**4 - 3/40*p**5 + 5/2*p**2 - 1 + 0*p - 1/240*p**6 - 9/4*p**3. Let n(k) be the second derivative of x(k). Factor n(v).
-(v + 3)**3/2
Let w(s) be the second derivative of 1/108*s**4 + 0*s**3 - 1/18*s**2 + 0 + 4*s. Let w(b) = 0. Calculate b.
-1, 1
Let q(u) = -13*u**3 - 21*u**2 - 3*u - 15. Let c(l) = -20*l**3 - 32*l**2 - 4*l - 24. Let n(x) = 5*c(x) - 8*q(x). Let n(v) = 0. Calculate v.
-1, 0
Let k = -32926 - -32928. Let -3/8*n**3 + 0 + 0*n - 1/8*n**4 + 0*n**k = 0. Calculate n.
-3, 0
Suppose w = -n + 10, -5*n + 5*w = -0*w - 50. Find v, given that -24*v**2 + 14*v**3 + 0*v + n*v - 2 - 4*v + 6 = 0.
-2/7, 1
Let s(b) be the third derivative of -b**8/336 + b**7/105 + b**6/40 - b**5/15 - b**4/6 + 2*b**2 - b. Solve s(t) = 0.
-1, 0, 2
Let b be 3 + -2 + (2 - -8). Suppose -b*m = -16*m. Factor s**3 - 2*s**3 + 6*s + 4 + m - s**3.
-2*(s - 2)*(s + 1)**2
Let i(m) = 7*m**4 + 2*m**3 + 15*m**2 + 2*m - 2. Let h(c) = -6*c**4 - 2*c**3 - 12*c**2 - c + 1. Let d(s) = -6*h(s) - 5*i(s). Factor d(x).
(x - 1)**2*(x + 2)**2
Let m(k) be the second derivative of -k**6/60 + k**5/20 + k**4/24 - k**3/6 - 199*k. Determine t, given that m(t) = 0.
-1, 0, 1, 2
Let h = 1383/2560 + 5/512. Let p(m) be the first derivative of 0*m + 16/25*m**5 + h*m**4 + 7/30*m**6 + 0*m**2 + 2/15*m**3 + 11. Factor p(j).
j**2*(j + 1)**2*(7*j + 2)/5
Factor 11470678*b + 358*b**3 + 1026625681/2 + 96123*b**2 + 1/2*b**4.
(b + 179)**4/2
Solve -20/7*s - 1/7*s**4 - 6*s**2 - 12/7*s**3 + 75/7 = 0.
-5, -3, 1
Let q be ((-104)/(-182))/((1/(-2))/((-21)/108)). Suppose -1/9*z**3 + 1/3*z + 0*z**2 + q = 0. What is z?
-1, 2
Let p(i) = 10*i**2 - 153*i - 184. Let o(q) = 3*q**2 - 52*q - 61. Let a(u) = -7*o(u) + 2*p(u). Solve a(j) = 0.
-1, 59
Suppose 3*p - 4*b - 25 = 0, 2*p + 4*b = -b - 14. Find n, given that 2/3*n**2 - 2/3*n - 2/3 + 2/3*n**p = 0.
-1, 1
Solve -11 + 3*l**2 + 24*l - 75*l - 6*l**2 + 65 = 0.
-18, 1
Suppose 59*o**3 - 28*o**2 - 13*o**3 + 42*o**3 - 12*o**4 = 0. What is o?
0, 1/3, 7
Let v(g) = g**3 - 9*g**2 - 12*g + 22. Suppose 3*n - 2*k - 38 = 2*k, -k = 2. Let w be v(n). Let -15*x**3 + 2*x**3 + 5*x**4 - w*x**3 + 10*x**2 = 0. What is x?
0, 1, 2
Suppose 0 = 4*h + 5*b - 6, -2038*h + 2 = -2035*h + 5*b. Factor -24/5*t**3 + 0*t + 4/5*t**h + 0 + 4*t**2.
4*t**2*(t - 5)*(t - 1)/5
Suppose 4*i + 46/7*i**2 + 0 + 6/7*i**3 = 0. What is i?
-7, -2/3, 0
Suppose -12*z - 72 + 175 = 79. Suppose -8/5*o**z - 16/5 - 1/5*o**3 - 4*o = 0. What is o?
-4, -2
Suppose -4*z - 3*z - 938 = 0. Let w = z + 134. Factor 2/9 - 2/9*g**2 + w*g.
-2*(g - 1)*(g + 1)/9
Let x(r) = -14*r**4 + 102*r**3 + 82*r**2 