0*j.
2*(j - 1)*(3*j + 2)
Let q = 23857/3 - 7949. Find v such that q*v - 1/3 - 3*v**2 = 0.
1/9, 1
Suppose 11 + 13 = 2*g. Let f = g - 9. What is v in 2*v + 4 - 6*v - 2*v**f + 4*v + 6*v = 0?
-1, 2
Let u(n) = 57*n + 229. Let g be u(-4). Determine b, given that 1/2*b**2 + g - 5/2*b + b**3 = 0.
-2, 1/2, 1
Suppose 3*k = -3*t + 18, -28 = -5*t - 4*k + k. Suppose 0 = 2*c - t*z + 1 - 0, 4*c + 3*z - 11 = 0. Factor 1/4*g + 1/4*g**c - 1/2.
(g - 1)*(g + 2)/4
Let v(n) be the third derivative of 0*n**5 + 0*n**4 + 0*n**6 + 1/1344*n**8 + 0*n + 0*n**3 - 1/280*n**7 - 40*n**2 + 0. Factor v(w).
w**4*(w - 3)/4
Let n(g) be the first derivative of -7 - 1/4*g**2 + 9*g + 1/48*g**4 - 1/24*g**3. Let s(f) be the first derivative of n(f). Solve s(t) = 0 for t.
-1, 2
Let 2/5*o**3 - 4/5*o + 0 - 2/5*o**2 = 0. What is o?
-1, 0, 2
Let f(x) = x**2 - 14*x - 30. Let v be f(16). Let j(y) be the first derivative of -2/7*y**3 + 0*y - 1 - 1/14*y**4 - 2/7*y**v. Factor j(t).
-2*t*(t + 1)*(t + 2)/7
Let x(s) be the second derivative of s**5/50 - s**4/30 + 3*s + 6. Suppose x(d) = 0. Calculate d.
0, 1
Let v = 139293/4 + -34823. Let -v*r**2 - 7/4*r + 2 = 0. Calculate r.
-8, 1
Let p(i) be the first derivative of -92*i**3/3 + 42*i**2 + 8*i - 428. Factor p(z).
-4*(z - 1)*(23*z + 2)
Let b be 1/3 - (-64)/6. Let s = b - 9. Factor 6*r - s*r**2 - 4 - 8 + 8.
-2*(r - 2)*(r - 1)
Determine q, given that 8*q + 12*q - 148 - 15*q**2 + 8*q**2 + 8*q**2 + 52 = 0.
-24, 4
Let k be (66/(-12))/(-11) - 285/(-2). Find b such that -21*b**3 + 352*b**2 - 64*b + 2 - k*b**3 + 20*b**4 - 2 = 0.
0, 1/5, 4
Let -25*h**4 + 135*h**3 - 438*h**2 + h**5 + 13*h**2 + 6*h**4 + 500*h = 0. What is h?
0, 4, 5
Find l such that 1 + 9 - 93*l**2 + 97*l**2 + 2 - 16*l = 0.
1, 3
Solve -k**5 - 106*k**2 - 25*k**3 - 85*k - 13*k**4 - 33*k**3 + 4 - 29 = 0.
-5, -1
Factor 60 - 3/5*k**2 + 297/5*k.
-3*(k - 100)*(k + 1)/5
Let f(j) be the second derivative of -42*j + 1/36*j**4 + 2/3*j**2 - 5/18*j**3 + 0. Factor f(o).
(o - 4)*(o - 1)/3
Let p(i) = 3*i**2 + 7*i - 1. Let h(r) = -r**2 - 3*r. Let c(z) = -5*h(z) - 2*p(z). Find d such that c(d) = 0.
-1, 2
Let j(z) = -z + 7. Let i be j(9). Let f be 81/63 - (i + 3). Find l, given that -f*l**2 + 0 + 1/7*l + 1/7*l**3 = 0.
0, 1
Suppose 1528*q + 5 = 3*n + 1523*q, -4 = -n + 4*q. What is f in -2*f + n + 2/7*f**2 = 0?
0, 7
Solve 11/5*h**3 - 6/5*h**2 - 6/5*h**4 + 0 + 0*h + 1/5*h**5 = 0 for h.
0, 1, 2, 3
Let m(a) be the second derivative of -a**6/72 - a**5/3 - 10*a**3/3 + 11*a. Let n(z) be the second derivative of m(z). Factor n(c).
-5*c*(c + 8)
Let -108*y**2 + 35/3*y**4 + 0 + 0*y + 1/3*y**5 + 96*y**3 = 0. What is y?
-18, 0, 1
Suppose 4*t = -4*z + 12, 3*z - 2 - 7 = 2*t. Suppose -3*u + 5 = 19*g - 18*g, 4*u = 2*g. Factor g*p**2 + t*p**3 + 1 + 8/3*p - 1/3*p**4.
-(p - 3)*(p + 1)**3/3
Let l(y) = -y - 1. Let p = -14 + 10. Let z be l(p). Find j, given that 7 - 9*j - 3 + 2 + 3*j**z = 0.
-2, 1
Let d = 1/1965 - -1178/1965. Factor 4/5*s - 4/5 + d*s**2.
(s + 2)*(3*s - 2)/5
Let y be (-15 - 0)*6/(-9). Let w be 8/y*150/12. Suppose 3 - c**4 + 16*c**3 - 6*c - w*c**3 - 2*c**4 = 0. Calculate c.
-1, 1
Suppose 10*q = 14*q - 8. Find b such that -7*b + 475*b**2 - 463*b**q + 3*b**3 + 8 - b**3 + 25*b = 0.
-4, -1
Let a(z) be the second derivative of 2*z**6/75 - 7*z**5/25 + 17*z**4/15 - 34*z**3/15 + 12*z**2/5 + 74*z + 1. Determine k so that a(k) = 0.
1, 2, 3
Let y(g) be the first derivative of 1/5*g**5 + 8 - 1/3*g - 2/9*g**3 + 1/18*g**6 - 1/2*g**2 + 1/6*g**4. Factor y(h).
(h - 1)*(h + 1)**4/3
Suppose -1 = -3*h + 5. Let -5*n**3 + 5*n - 28*n**4 + 43*n**4 - 6*n**h - 9*n**2 = 0. What is n?
-1, 0, 1/3, 1
Let z(w) be the first derivative of w**3 - 27*w + 150. Suppose z(g) = 0. Calculate g.
-3, 3
Let d(m) be the second derivative of m**4/108 + 29*m**3/27 - 234*m. Determine y so that d(y) = 0.
-58, 0
Suppose w - 1 = -4*z, 3*w - 3*z - 17 = 1. Suppose w*g = -3*q + 9 + 55, 3*q - 100 = 4*g. Factor 0 + 3*u + 19*u + 3 + 1 + q*u**2.
2*(2*u + 1)*(7*u + 2)
Let k = -16 + 20. Suppose 0*x = 2*x - k. Factor g**5 - 174 - x*g**3 - 5*g**3 + 12*g + 166 + 2*g**2.
(g - 2)*(g - 1)**2*(g + 2)**2
Solve -424587 + 388*b**2 - 72*b + 44*b**3 + 424587 = 0 for b.
-9, 0, 2/11
Let j(a) be the first derivative of a**5/50 - a**3/15 + 25*a + 2. Let v(z) be the first derivative of j(z). Factor v(y).
2*y*(y - 1)*(y + 1)/5
Factor 0 - 11/5*d + 1/5*d**2.
d*(d - 11)/5
Let t = -3 - -6. Let r(p) be the second derivative of 0 - 6*p - 1/12*p**4 + 1/2*p**t - p**2. Factor r(f).
-(f - 2)*(f - 1)
Let z = 0 + -4. Let v(f) = 7*f**3 - 3*f**2 + 4*f - 4. Let p(l) = -l - 15 + 2*l**3 - 3*l**3 + 16. Let w(a) = z*p(a) - v(a). Factor w(k).
-3*k**2*(k - 1)
Let g(l) = -65*l**2 + 170*l - 90. Let a(v) = 3*v**2 - v + 1. Let o(y) = 30*a(y) + g(y). Solve o(c) = 0.
-6, 2/5
Let f be 7/(-3)*(-4)/14. Suppose -5*q - 22 = -d, -3*d + 2*q - 33 = -47. Determine b, given that -4/9 - f*b - 2/9*b**d = 0.
-2, -1
Let a be (3/6)/(-1)*(-12)/(-6). Let w(l) = -7*l**2 + 2*l - 7. Let j be 0 - -8 - (-1 + 3). Let i(p) = -p**2 - 1. Let x(g) = a*w(g) + j*i(g). Factor x(f).
(f - 1)**2
Let h = -5803 - -5806. Suppose -10/9*f**h - 14/9*f - 4/3 + 4*f**2 = 0. Calculate f.
-2/5, 1, 3
Let s = 114299/618213 - -346/2463. Let d = s - -2/251. Let d*b**2 + 1/3*b**3 - 2/3*b + 0 = 0. Calculate b.
-2, 0, 1
Let 0 + 12*p - 3/7*p**2 = 0. What is p?
0, 28
Suppose -3*z - 21 = -4*s, -4*z = 4*s - 0*z. Let o be (-2)/4*(1 + (s - 4)). Factor 3/5*r**2 - 6/5*r**3 + 3/5*r**4 + 0*r + o.
3*r**2*(r - 1)**2/5
Let -3/4*b**5 - 51/2*b**2 - 93/2*b**3 + 189/4*b - 45/4*b**4 + 147/4 = 0. Calculate b.
-7, -1, 1
Let u be (6/(-18))/((-1)/6). Suppose -3*p = u*p - 10. What is d in -5 + 5 + d**p + 4*d**4 + 5*d**3 = 0?
-1, -1/4, 0
Let s(i) = -4*i**3 + 4*i**2. Let t(j) = 3*j**3 - 3*j**2. Suppose -d + 0*k = -4*k - 7, -d = -5*k - 8. Let n = 1 - d. Let p(q) = n*s(q) - 3*t(q). Factor p(x).
-x**2*(x - 1)
Let q(c) be the second derivative of 0 + 15*c - 1/12*c**4 + 0*c**2 - 1/2*c**3. Factor q(o).
-o*(o + 3)
Let t = 3077/2792 + 8/349. Let -3/4 - 3/8*l**2 + t*l = 0. What is l?
1, 2
Let v(r) = 11*r**2 - 52*r + 84. Let s(p) = 2*p**2 + p - 6. Let q(w) = -6*s(w) + v(w). Determine o so that q(o) = 0.
-60, 2
Let a be ((-10)/(-210))/((-6)/4*-2). Let k(q) be the second derivative of 1/10*q**5 - 1/15*q**6 + 0*q**3 + a*q**7 - 1/18*q**4 + 0*q**2 + 5*q + 0. Factor k(v).
2*v**2*(v - 1)**3/3
Suppose 4 - 12 = 4*c, 7 = -3*z + c. Let w be (-5)/z - 3/(-9). Let -6*r - 3*r**w + 9 + 3*r**3 - 9 = 0. What is r?
-1, 0, 2
Let f(k) be the second derivative of -k**7/84 + k**6/20 + 2*k**5/5 - 5*k**4/6 - 8*k**3 - 16*k**2 - 32*k + 2. Find i, given that f(i) = 0.
-2, -1, 4
Let u(l) be the third derivative of l**9/38880 - l**8/10080 + l**7/11340 + 13*l**5/60 - 6*l**2. Let h(s) be the third derivative of u(s). Solve h(q) = 0.
0, 2/7, 1
Let x = 31321/60 + -522. Let m(l) be the second derivative of 0 + 0*l**2 + 0*l**5 + x*l**6 + 1/84*l**7 + 0*l**4 + 0*l**3 - l. Solve m(d) = 0 for d.
-1, 0
Let g(f) be the first derivative of f**6/6 - f**5/4 - 5*f**4/4 + 5*f**3/6 + 5*f**2 - 12*f + 28. Let c(j) be the first derivative of g(j). Factor c(s).
5*(s - 2)*(s - 1)*(s + 1)**2
Let p = 694 + -3466/5. Let k(s) be the first derivative of 36*s - 1 - 6*s**4 - 32/3*s**3 - p*s**5 + 12*s**2. Solve k(h) = 0 for h.
-3, -1, 1
Let l(g) = 4*g**4 + 22*g**3 + 8*g**2 - 4*g + 6. Let x = -95 - -97. Let c(b) = b**4 - b**3 - b**2 - 1. Let d(p) = x*l(p) + 12*c(p). Factor d(j).
4*j*(j + 1)**2*(5*j - 2)
Let v(q) = q**3 + 2*q**2 - q + 2. Let p be v(-2). Let b = p + -2. Factor 0*l**b - 2*l**2 + 2*l**2 - 3*l**5 + l - 6*l**3 - 8*l**4.
-l*(l + 1)**3*(3*l - 1)
Let h = -816 + 819. Let w(q) be the first derivative of 0*q + 2/7*q**h + 1/14*q**4 + 2/7*q**2 + 5. Suppose w(u) = 0. What is u?
-2, -1, 0
Factor -272*t**2 + 54*t**3 + 12 - 14*t + 2*t**4 - 48*t**3 + 266*t**2.
2*(t - 1)**2*(t + 2)*(t + 3)
Let -48/5*w**3 - 144*w - 282/5*w**2 - 135 - 3/5*w**4 = 0. What is w?
-5, -3
Let v = 719/808 - 52/101. Solve -v*p**2 + 1/8*p + 3/8 - 1/8*p**3 = 0.
-3, -1, 1
Suppose 69*b = 194 + 82. Let s(l) be the first derivative of -5/4*l**b + 4/3*l**3 + 9 - 3/5*l**5 + 0*l + 2*l**2. Factor s(x).
-x*(x - 1)*(x + 2)*(3*x + 2)
Let s = -28 - -28. Suppose s = -0*b - 5*b + 10. Solve -2*a**4 + 2*a**2 - a**b + a**2 = 0.
-1, 0, 1
Let l(p) be the third derivative of 0*p**3 + 0*p + 3*p**2 + 1/480*p**5 + 1/9