*p - 5*h. Solve -18*q**2 - 3*q**4 + 12*q**3 - 19 + 12*q + p + 0*q**4 = 0.
1
Suppose -y - 5*y - 30 = 0. Let h(m) = -33*m**2 + 24*m - 21. Let n(j) = 8*j**2 - 6*j + 5. Let k(i) = y*h(i) - 21*n(i). Factor k(o).
-3*o*(o - 2)
Suppose 0 = -3*p + 7*p - 8. Let h be 9/4 - p/8. Suppose 4*c**3 - 6*c**4 - 2*c**2 - 7*c**3 - 10*c**2 - 13*c**3 + h = 0. Calculate c.
-1, 1/3
Let h(i) be the second derivative of -i**7/36 + 11*i**6/60 - 53*i**5/120 + 31*i**4/72 - i**2/3 - 151*i. Solve h(l) = 0.
-2/7, 1, 2
Factor -1/3*v - 4/3*v**2 + 1/3*v**3 + 4/3.
(v - 4)*(v - 1)*(v + 1)/3
Let 55*n**5 + 0*n**4 - 8*n**4 + 17*n - 28*n**2 - 27*n**5 - 4 + 26*n**3 - 27*n**5 - 4*n**3 = 0. What is n?
1, 4
Let x be (-28)/(-8) - (2 + 1). Let w be -9 + 0 - (59 + -70). Find k, given that -x - 1/2*k**w + k = 0.
1
Let h(a) be the second derivative of -11*a**7/7 - 7*a**6/10 + 18*a**5/5 + 7*a**4/4 - a**3 - 8*a - 9. Suppose h(d) = 0. Calculate d.
-1, -1/2, 0, 2/11, 1
Let a be (-2)/8 - ((-445)/(-4))/(-5). Suppose z = a - 20. What is b in -2/5*b + 4/5*b**4 - 4/5*b**z + 0*b**3 + 2/5*b**5 + 0 = 0?
-1, 0, 1
Find o, given that 0 - 16/5*o + 12/5*o**2 - 2/5*o**3 = 0.
0, 2, 4
Let q(h) be the second derivative of 5/21*h**3 + 1/42*h**4 + 3/7*h**2 - 1/70*h**5 - 5*h + 0. Suppose q(v) = 0. What is v?
-1, 3
Determine u so that 2*u**3 - 169*u**2 - 166*u**2 + 13*u**2 + 12480*u - 15*u**2 + 23*u**2 - 12168 = 0.
1, 78
Let l(j) be the third derivative of j**6/480 - 11*j**5/120 - 47*j**4/96 - j**3 - 16*j**2 + j. Factor l(o).
(o - 24)*(o + 1)**2/4
Suppose -13*w - 3*w = -80. Suppose -3*p + 5*p + w*l + 11 = 0, -p + 2*l = -8. Solve 9/2*o**5 - 18*o + 3*o**p + 73/2*o**3 + 4 + 24*o**4 = 0.
-2, 1/3
Let o(a) be the third derivative of -a**8/84 + 4*a**7/35 - 11*a**6/30 + 2*a**5/15 + 2*a**4 - 16*a**3/3 + 6*a**2 + 9*a. Let o(j) = 0. Calculate j.
-1, 1, 2
Let v(z) = -57*z**2 - 450*z + 441. Let m(h) = -7*h**2 - 56*h + 55. Let w(r) = -33*m(r) + 4*v(r). Suppose w(j) = 0. What is j?
-17, 1
Let q(a) = a**2 - a - 2. Let l be q(3). Suppose -18 - 16 + 1 - 24*p - 3 - l*p**2 = 0. Calculate p.
-3
Find l, given that -9*l**5 + 60/7*l + 192/7*l**4 + 0 + 348/7*l**2 + 543/7*l**3 = 0.
-1, -2/3, -2/7, 0, 5
Let q = -59 - -83. Suppose 0 = -6*n - 0 + q. Let -n*u**2 + 2*u + 4 + 2*u - u - u - 2*u**3 = 0. Calculate u.
-2, -1, 1
Suppose 0 = 34*v - 28*v - 72. Suppose -12 = -3*o - 3*b, -2*o = -5*o + 2*b + v. Find a such that -a**2 + 1/2*a**5 + 0*a**3 + a**o - 1/2*a + 0 = 0.
-1, 0, 1
Let n = 1145 + -1142. Determine k, given that -4/9*k**n - 2/9*k**2 - 2/9*k**4 + 0*k + 0 = 0.
-1, 0
Let h(u) be the third derivative of u**5/135 + 25*u**4/18 + 148*u**3/27 + 40*u**2. Solve h(b) = 0.
-74, -1
Let b(i) = -7*i**3 - 753*i**2 + 72180*i + 72962. Let c(t) = 3*t**3 + 377*t**2 - 36091*t - 36481. Let h(p) = 4*b(p) + 9*c(p). Solve h(j) = 0 for j.
-1, 191
Let a(s) = 5*s**4 + 5*s**3 - 7*s**2 - 3*s - 6. Let q(m) = 14*m**4 + 14*m**3 - 19*m**2 - 9*m - 17. Let h(u) = -17*a(u) + 6*q(u). Factor h(c).
-c*(c - 1)**2*(c + 3)
Determine m so that 0 + 3/5*m**4 - 6*m**2 + 48/5*m - 21/5*m**3 = 0.
-2, 0, 1, 8
Let n(v) be the third derivative of -v**7/420 + 3*v**6/80 - 7*v**5/120 - 15*v**4/16 - 7*v**3/3 + 123*v**2. Suppose n(f) = 0. Calculate f.
-1, 4, 7
Let b(h) be the second derivative of -5*h**7/273 - 41*h**6/65 - 4*h**5 + 1444*h**4/39 - 1008*h**3/13 + 784*h**2/13 + 30*h + 5. What is x in b(x) = 0?
-14, 2/5, 1, 2
Suppose -6*r = -11 + 5. Let q(g) = g**4 - g**2 - g. Let x(o) = 190*o**4 - 10*o**2 + 6*o. Let p(b) = r*x(b) + 6*q(b). Suppose p(u) = 0. What is u?
-2/7, 0, 2/7
Let v = 128 + -127. Determine y so that -27*y - 240*y**2 - 30*y + 300*y**3 + 6 + v - 10 = 0.
-1/10, 1
Let q(i) be the first derivative of i**9/9072 + i**8/2520 - i**7/2520 - i**6/540 - 3*i**3 + 17. Let t(w) be the third derivative of q(w). What is f in t(f) = 0?
-2, -1, 0, 1
Factor 1871*y + 113 - 3*y**2 + 39 - 2097*y.
-(y + 76)*(3*y - 2)
Find n, given that 2/3*n + 2/9*n**5 + 4/9*n**2 - 8/9*n**3 + 0*n**4 - 4/9 = 0.
-2, -1, 1
Let r(y) = -15*y**3 - 118*y**2 - 407*y - 377. Let a(p) = -5*p**3 - 39*p**2 - 136*p - 126. Let z(v) = -17*a(v) + 6*r(v). Factor z(x).
-5*(x + 2)*(x + 3)*(x + 4)
Let u = -26 + 55. Factor -8 - u*s - 139*s - 1058*s**2 - 16*s.
-2*(23*s + 2)**2
Find h such that -141*h - h**2 - 50*h + 0*h**2 - 9343 - 9*h - 657 = 0.
-100
Let s = -633 - -638. Let g(n) be the second derivative of -3/10*n**2 + 0 - 1/70*n**7 - 1/10*n**4 - 9*n + 3/50*n**6 - 3/50*n**s + 3/10*n**3. Solve g(a) = 0.
-1, 1
Solve 28 + 6*f + 717*f**2 + 12*f - 721*f**2 + 6*f = 0.
-1, 7
Suppose -10 = -j - 2*u, 2 - 6 = -4*j + 4*u. Let a(y) be the second derivative of 0*y**2 - 1/12*y**j - 1/3*y**3 + y + 0 + 1/20*y**5. Factor a(s).
s*(s - 2)*(s + 1)
Let q(s) be the third derivative of -5*s**9/3024 + s**8/336 + s**7/168 - s**6/72 + 9*s**3/2 + 26*s**2. Let w(l) be the first derivative of q(l). Factor w(i).
-5*i**2*(i - 1)**2*(i + 1)
Let y(o) be the first derivative of o**3 - 15*o**2 + 63*o + 33. Factor y(m).
3*(m - 7)*(m - 3)
Let u(d) be the third derivative of -d**11/66528 + d**10/15120 + 7*d**5/60 + 2*d**2. Let b(z) be the third derivative of u(z). Factor b(h).
-5*h**4*(h - 2)
Let y be 0 - ((-260)/(-45) - (-2 + 8)). Solve 2/9 + 2/3*z + 2/3*z**2 + y*z**3 = 0 for z.
-1
Let f(l) = 12*l**3 + 49*l**2 + 85*l + 48. Let w(c) = 10*c - 16 - 2*c**3 - 2*c**3 - 16*c**2 - 9*c - 29*c. Let b(u) = -4*f(u) - 11*w(u). Let b(n) = 0. What is n?
-2, -1
Let s(y) be the second derivative of 1/15*y**6 + 0 - 43*y + 1/4*y**3 + 0*y**2 - 1/6*y**4 - 1/20*y**5 - 1/84*y**7. Find b such that s(b) = 0.
-1, 0, 1, 3
Suppose -5*r - 152*v + 148*v = -18, r - v = 0. Factor 12 + 3*n - 3/2*n**r.
-3*(n - 4)*(n + 2)/2
Factor -2/3*q**2 - 58/15*q + 4/5.
-2*(q + 6)*(5*q - 1)/15
Solve -4*n + 7/2*n**3 + 1/2*n**5 + 5/2*n**4 - 1/2*n**2 - 2 = 0 for n.
-2, -1, 1
Let k be (-81)/(-15) - 4/10. Factor -3*i**5 + 24*i**4 + 4*i**3 - 24*i**4 - 2*i + i**k.
-2*i*(i - 1)**2*(i + 1)**2
Let c(z) be the second derivative of 11*z + 0 + 0*z**2 + 1/6*z**6 - 5/3*z**4 - 10/3*z**3 + 1/4*z**5. Factor c(v).
5*v*(v - 2)*(v + 1)*(v + 2)
Let j = 919/54 + -17. Let x = 14/27 - j. Find v, given that 0 - 3/4*v**2 + x*v + 1/4*v**3 = 0.
0, 1, 2
Let v(f) = 4*f**2 - f - 1. Let l(g) = -g. Let c be l(-2). Let x be v(c). Factor 5*b**2 - 6*b + b - 2*b**2 - x*b + 27.
3*(b - 3)**2
Let l(h) be the third derivative of -h**5/20 - 3*h**4/4 - 9*h**3/2 + 99*h**2. Suppose l(q) = 0. Calculate q.
-3
Let b(v) = -21*v**2 + 492*v - 19206. Let t(m) = -24*m**2 + 494*m - 19207. Let a(c) = -7*b(c) + 6*t(c). Determine o so that a(o) = 0.
80
Factor 0 + 0*l - 2/9*l**3 - 10/9*l**2.
-2*l**2*(l + 5)/9
Let t(d) be the third derivative of -d**5/60 - 5*d**4/12 - 3*d**3/2 - 27*d**2 + d. What is z in t(z) = 0?
-9, -1
Factor 11 - 20*t**2 - 81*t - 92 - 3*t**3 - 7*t**2.
-3*(t + 3)**3
Let q(m) be the third derivative of -2/25*m**6 + 0 - 1/525*m**7 + 0*m - 72/5*m**4 - 36/25*m**5 + 18*m**2 - 432/5*m**3. Determine a so that q(a) = 0.
-6
Let f(r) be the first derivative of -r**2/2 + 11*r - 8. Let c be f(8). What is k in -10*k**5 - c*k**4 + 5*k**5 + 4*k**2 + 6*k**5 = 0?
-1, 0, 2
Suppose 3*x + 3*a + 3 = 0, -5*x + 61*a - 65*a = 2. Solve -u + 1/4*u**3 + u**x + 0 - 1/4*u**4 = 0.
-2, 0, 1, 2
Let q = 204 - 207. Let w be (q + 3)/(2/1). Find u, given that 14/3*u**3 - 10/3*u**2 - 4/3*u + w = 0.
-2/7, 0, 1
Let b(v) = -28*v + 7. Let d be b(5). Let i = 666/5 + d. Factor 0*g**2 + i*g**3 + 0 - 1/5*g.
g*(g - 1)*(g + 1)/5
Find h, given that 50/3*h**5 + 64/3*h - 36*h**3 - 64/3*h**2 + 0 + 70/3*h**4 = 0.
-2, -1, 0, 4/5
Let g = -2/2805 - -37406/8415. Suppose 0 = 44*d + 9*d - 212. Determine i so that 2/3 + 58/9*i**2 + 32/9*i + g*i**3 + 8/9*i**d = 0.
-3, -1, -1/2
Let j(f) be the first derivative of 5*f**3 - 5*f**2 - 3*f**3 + 27*f + 6 - 4*f**2 - f**3. Factor j(p).
3*(p - 3)**2
Let m = -20433 - -20436. Factor 6*o**2 - 4*o + 0 + 1/2*o**4 - 3*o**m.
o*(o - 2)**3/2
Let z = -101947/4 - -25487. Let 3/2 - z*y - 1/4*y**2 = 0. Calculate y.
-3, 2
Let v(w) be the second derivative of -4/7*w**2 + 0 - 4/21*w**3 + 4*w - 1/42*w**4. Find j such that v(j) = 0.
-2
Let w = 13 + 9. Let x(a) = a**3 - 5*a**2 - 4*a - 8. Let k be x(6). Let 10*m**5 + 8*m**k + 36*m**3 - 49*m**2 - w*m**5 + 16*m + m**2 = 0. Calculate m.
-2, 0, 2/3, 1
Let z(s) be the third derivative of s**7/70 - s**6/8 - 3*s**5/5 + 10*s**4 - 32*s**3 - 40*s**2 - s. Fa