1, 2
Suppose -15*c + 44*c = 58. Factor 0 + 2/7*y**c - 8/7*y.
2*y*(y - 4)/7
Solve 7/6 + 1/6*z**2 + 4/3*z = 0 for z.
-7, -1
Let u(l) be the second derivative of -l**7/700 - l**6/300 - l**5/300 + 19*l**4/6 + 25*l. Let p(o) be the third derivative of u(o). Factor p(z).
-2*(3*z + 1)**2/5
Suppose -148 = 4*g - 3*n + 4*n, -3*g - 116 = 2*n. Let j(c) = 16*c**2 + 2*c + 4. Let h(r) = -r**2. Let f(b) = g*h(b) - 2*j(b). Factor f(k).
4*(k - 2)*(k + 1)
Let r(q) be the first derivative of -q**7/4620 - q**6/990 + q**5/220 - q**3 + 5. Let z(h) be the third derivative of r(h). Determine s, given that z(s) = 0.
-3, 0, 1
Let i = 83/132 - -4/33. Let n = 5/4 - i. Find l, given that -2*l - n*l**3 - 2*l**2 + 0 = 0.
-2, 0
Factor 1605*y + 40 - 5 - 1575*y - 4*y**2 - y**2.
-5*(y - 7)*(y + 1)
Let m(u) be the second derivative of -u**4/28 + 5*u**3 - 525*u**2/2 + u + 4. Find x such that m(x) = 0.
35
Let q be 0 + 4 + (-3)/(2 - -1). Factor 0*g**2 - 2*g**q + 2*g - 5 + 4*g**2 + 8 - 7.
-2*(g - 2)*(g - 1)*(g + 1)
Let w = -3 - -4. Let u be (12/21)/(w/7). Find m such that 2 - 6 - 4 - u*m**2 - 12*m = 0.
-2, -1
Let m(r) be the second derivative of -r**6/45 + r**5/10 + 2*r**4/9 - 4*r**3/3 + r + 44. Factor m(u).
-2*u*(u - 3)*(u - 2)*(u + 2)/3
Factor -1/6*g**3 - 1/6*g**2 + 5/6*g - 1/2.
-(g - 1)**2*(g + 3)/6
Let 1/2*x**5 - 7/4*x**3 + 5/4*x - 1/4*x**2 - 1/4*x**4 + 1/2 = 0. What is x?
-1, -1/2, 1, 2
Factor -1/2*f**2 - 98 + 14*f.
-(f - 14)**2/2
Suppose 63*v - 68*v = -10. Let y = 8 + -5. Solve -2*q**v + 4*q**2 + y*q**4 - q**4 - 3*q**4 - 1 = 0 for q.
-1, 1
Let x(t) be the second derivative of -t**4/72 - 17*t**3/9 + 35*t**2/3 + 602*t. Factor x(l).
-(l - 2)*(l + 70)/6
Let n = 87 + -87. Let c(b) be the second derivative of -1/6*b**3 + 0 + 1/12*b**4 + n*b**2 + 2*b. Factor c(p).
p*(p - 1)
Find h such that -6/5*h**4 + 0*h**2 + 6/5 + 11/5*h - 1/5*h**5 - 2*h**3 = 0.
-3, -2, -1, 1
Let j(r) = -r**2 - 12*r - 3. Let i be j(-8). Let o = i - 23. Factor 2*g**3 + 2*g**4 + 6*g**4 - o*g**3 + 0*g**4 - 4*g**5.
-4*g**3*(g - 1)**2
Let j(x) be the first derivative of 4/25*x**5 + 4/15*x + 32/45*x**3 - 16 - 7/15*x**4 - 1/45*x**6 - 3/5*x**2. Let j(w) = 0. Calculate w.
1, 2
Let c be -9*(-1)/(-9)*-2. Let h(m) = m**2 + 4*m - 2. Let t be h(-5). Let -b - 1/3*b**t + b**c + 1/3 = 0. Calculate b.
1
Let q(a) = -a**3 - 25*a**2 + 400*a - 42. Let j be q(11). Factor 4/7 - 5/7*s + 1/7*s**j.
(s - 4)*(s - 1)/7
Let p(d) be the first derivative of 1/48*d**4 - 1/6*d**3 + 0*d + 2 - 3/2*d**2 + 1/120*d**5. Let f(v) be the second derivative of p(v). Factor f(x).
(x - 1)*(x + 2)/2
Let p(d) = 7*d**3 + 5*d**2 - 24*d - 38. Let r(b) = 72*b**3 + 51*b**2 - 240*b - 381. Let v(c) = 21*p(c) - 2*r(c). Factor v(i).
3*(i - 3)*(i + 2)**2
Let j = 74 - 71. What is b in -3/4*b**4 - 21/4*b**j + 0 - 45/4*b**2 - 27/4*b = 0?
-3, -1, 0
Suppose -31*h + 35*h = 12. Let q(j) = 5*j**3 - 5*j + 3. Let c(u) = -65*u**3 + 65*u - 40. Let b(y) = h*c(y) + 40*q(y). Factor b(m).
5*m*(m - 1)*(m + 1)
Let o be (6 - 0)/((-12)/(-6)). Suppose 15 = x - 4*s - 6, -o*x + 3*s + 54 = 0. What is l in -60*l**3 - 15*l**3 - x + 55*l**2 + 40*l - 3 = 0?
-2/3, 2/5, 1
Let y(p) be the second derivative of -p**5 + 0*p**2 - 8/3*p**4 - 8/3*p**3 - 5*p - 2/15*p**6 + 0. Factor y(f).
-4*f*(f + 1)*(f + 2)**2
Let m(j) be the first derivative of j**8/672 + j**7/210 - j**5/60 - j**4/48 - 3*j**2/2 + 7. Let c(z) be the second derivative of m(z). Factor c(f).
f*(f - 1)*(f + 1)**3/2
Let q(d) be the second derivative of d**8/6720 - d**6/720 + 5*d**4/6 + 8*d. Let h(o) be the third derivative of q(o). Factor h(a).
a*(a - 1)*(a + 1)
Let p = 2072 - 2069. Let m(t) be the first derivative of 0*t - 10 + 1/10*t**5 + 0*t**2 - 1/4*t**4 + 1/6*t**p. Determine q, given that m(q) = 0.
0, 1
Let v(b) be the third derivative of b**7/70 + 13*b**6/56 + 36*b**5/35 + 9*b**4/14 - 586*b**2. Suppose v(f) = 0. What is f?
-6, -3, -2/7, 0
Let i(v) = v**2 - v + 2. Let z be i(-6). Solve -168*c**2 - c**4 - 174 + 15 - 1 - 272*c - z*c**3 - 3*c**4 = 0 for c.
-5, -2
Suppose k - 3*k = -6*k. Let s(t) be the first derivative of 5/12*t**3 - 5/16*t**4 + 0*t**2 - 12 + k*t. Factor s(y).
-5*y**2*(y - 1)/4
Let v be 66 + -78 - (-148)/12. Find a such that -10/3*a - v*a**2 - 3 = 0.
-9, -1
Let c be ((-40)/48)/(15*(-6)/81). Factor -81/4*a + 81/2 + c*a**5 + 51/2*a**3 - 15/2*a**4 - 27*a**2.
3*(a - 3)**3*(a - 2)*(a + 1)/4
Let b = -75 + 77. What is v in 1 - 2*v - 8*v**2 + 2*v**3 + 2 + 3 + b = 0?
-1, 1, 4
Let u(l) be the first derivative of -l**4/54 - 14*l**3/27 - 49*l**2/9 - 21*l - 17. Let w(y) be the first derivative of u(y). Suppose w(g) = 0. Calculate g.
-7
Find g, given that 8/3*g**3 + 0 + 6*g - 74/3*g**2 = 0.
0, 1/4, 9
Let w be 21/(20/90*(-18)/(-4)). What is a in -33/2*a + 6*a**3 + 3 + 21/2*a**5 - 24*a**4 + w*a**2 = 0?
-1, 2/7, 1
Suppose -11*f + 384 = 351. Factor -1/2*y**f - 1/2*y**2 + 1/2*y + 1/2.
-(y - 1)*(y + 1)**2/2
Let p(l) be the third derivative of -l**6/160 - l**5/10 - 5*l**4/32 + 7*l**3/4 + 15*l**2 - 7*l. Let p(m) = 0. What is m?
-7, -2, 1
Let x(r) be the first derivative of -r**6/3 - 8*r**5/5 - 5*r**4/2 - 4*r**3/3 + 448. Let x(w) = 0. What is w?
-2, -1, 0
Let h(i) be the first derivative of 9*i**6/4 - 21*i**5/10 - 3*i**4/4 - 91. Factor h(d).
3*d**3*(d - 1)*(9*d + 2)/2
Let s = -57 - -59. Let l(a) be the first derivative of 5/3*a**3 + 4 + 20*a**s + 80*a. Find v, given that l(v) = 0.
-4
Let w = 22/25 - 86/75. Let l = -1/60 - w. Factor 1/4*x**4 - l*x + 1/2 + 1/4*x**3 - 3/4*x**2.
(x - 1)**2*(x + 1)*(x + 2)/4
Let j(h) be the second derivative of -h**6/6 - 5*h**5/4 - 5*h**4/12 + 35*h**3/2 + 45*h**2 - 12*h. Find s such that j(s) = 0.
-3, -1, 2
Let h(k) be the second derivative of k**6/3 - 7*k**5/4 + 5*k**4/12 + 25*k**3/3 + 360*k. Factor h(t).
5*t*(t - 2)*(t + 1)*(2*t - 5)
Let i(n) = -8*n**3 - 9*n**2 - 6*n - 5. Let p(u) = 7*u**3 + 8*u**2 + 5*u + 4. Let j = -68 - -63. Let a(d) = j*p(d) - 4*i(d). Determine o so that a(o) = 0.
-1, -1/3, 0
Let u(i) = i**3 + 3*i**2 + 2*i + 2. Let d be u(-2). Let o(b) be the first derivative of -d - 1/2*b**4 + 0*b + 0*b**3 + 0*b**2. Suppose o(m) = 0. What is m?
0
Suppose 3*s - 3*l + l - 20 = 0, 0 = -3*s + 5*l + 23. Determine t so that -17*t**3 - 20*t**2 - 4*t - 11*t**3 - s*t**4 - 6*t**4 = 0.
-1, -1/3, 0
Suppose 5*y + 4 - 14 = 0. Let t be 1/(0 - y/(-6)). Solve 10*a**2 - 6*a**4 - 2*a**5 - 6*a**t + 13*a**2 - 25*a**2 = 0.
-1, 0
Let -16*b**2 - 960/7*b - 4/7*b**3 - 2304/7 = 0. What is b?
-12, -4
Let i(j) be the third derivative of j**5/60 - 2*j**4/3 + 5*j**3/2 - 41*j**2. Factor i(b).
(b - 15)*(b - 1)
Suppose 2 = 2*w + 2*p, -p = 6*w - 3*w - 1. Let h(b) be the second derivative of 1/6*b**3 + 4*b + w*b**2 - 3/10*b**6 + 0 - 7/12*b**4 + 3/4*b**5. Factor h(t).
-t*(t - 1)*(3*t - 1)**2
Let i be (-4)/(-6) - (-3 + 681/171). Let r = i - -68/95. Factor -13/5*g + 7/5*g**4 + 27/5*g**2 - 23/5*g**3 + r.
(g - 1)**3*(7*g - 2)/5
Let l(b) be the second derivative of -1/3*b**4 + 2*b**2 - 2/3*b**3 + 1/5*b**5 + 0 + 12*b. What is z in l(z) = 0?
-1, 1
Let -222/5*t**2 - 27/5*t**4 - 24/5 + 27*t**3 + 132/5*t = 0. Calculate t.
1/3, 2/3, 2
Let r(b) = -b - 4. Let t(o) = -o**2 + 422*o - 43665. Let p(g) = -12*r(g) - 3*t(g). Factor p(k).
3*(k - 209)**2
Let m = 5 - -40. Solve -m*g - 147 + 25*g**2 + 293 - 35*g**4 + 45*g**3 - 136 = 0 for g.
-1, 2/7, 1
Let j = -46/3 - -218/15. Let g = j - -21/20. What is a in 3/4*a**2 - 1/4*a**4 - g*a**3 + 1/4*a - 1/2 = 0?
-2, -1, 1
Let j(p) = -5*p**2 - 17*p + 100. Let v(u) = -u**2 - 3*u + 20. Let o(w) = -4*j(w) + 22*v(w). Factor o(s).
-2*(s - 5)*(s + 4)
Let m(p) = p**2 + 5*p + 16. Let o be m(-9). Factor k**2 + 0*k**2 + 3*k**2 + k**3 - k + o - 56.
(k - 1)*(k + 1)*(k + 4)
Let j(k) = 2*k**2 - 5*k - 4. Let i be j(6). Find g, given that -g - 6*g**2 - i*g**3 + 44*g**3 + 3*g - 2*g**4 = 0.
0, 1
Factor 8*c**2 + 4/5*c**3 + 36/5*c + 0.
4*c*(c + 1)*(c + 9)/5
Let w be ((-12)/14)/((-3)/21). Suppose -3*b = -0*b - w. Factor b*f**3 + 3 - 6*f + 0*f + 1.
2*(f - 1)**2*(f + 2)
Factor 32/7*l**3 - 18/7*l**4 - 10/7*l**2 + 0 - 4/7*l.
-2*l*(l - 1)**2*(9*l + 2)/7
Suppose 5*y + 59*i - 7 = 56*i, 2*y = 2*i + 6. Find t such that 9/2 - 6*t + 3/2*t**y = 0.
1, 3
Let t be ((-1932)/(-4))/3 + 2. Determine d so that -15*d**2 + 3*d + 168 - t - 13*d = 0.
-1, 1/3
Factor 38/3*z + 0 - 2/3*z**2.
-2*z*(z - 19)/3
Let y(d) = 4*d**2 + 82*d + 114. Let c be y(-19). Find x such that c +