 v = 11. Factor 4*s - 5*s**2 + 8*s**4 - 4*s**z + 0*s**2 + x - 7*s**2.
4*(s - 1)**2*(s + 1)*(2*s + 1)
Suppose 77*c + 15*c + 1 - 1 = 0. Factor 0*o - 1/7*o**2 + c - 1/7*o**4 - 2/7*o**3.
-o**2*(o + 1)**2/7
Suppose g + 14 = 4*g - 2*a, -5*a - 9 = -g. Suppose -3*q = -3*t - 21, 5*q - 21 = g*t + 10. What is b in -6*b**2 - 3/2 + q*b**3 + 5*b - 1/2*b**4 = 0?
1, 3
Let h = 19 + -10. Suppose 0 = 3*b + 2*b - 25. Determine k, given that -2*k**4 - 6*k + k**5 - 3*k**3 - 3*k**b + 2*k + 2*k**2 + h*k**3 = 0.
-2, -1, 0, 1
What is n in 2/3*n**4 + 16/3*n**3 + 20/3*n - 38/3*n**2 + 0 = 0?
-10, 0, 1
Determine v so that -2/3*v - 2/9*v**5 + 8/9*v**3 + 0 + 4/9*v**2 - 4/9*v**4 = 0.
-3, -1, 0, 1
Let u(p) = -p**3 + 7*p**2 - 7*p + 5. Let r be u(6). Let x be 7 + (-2 - 1) + r. Factor -4*i + 0*i**3 + 6 + i - 6*i**2 + x*i**3.
3*(i - 2)*(i - 1)*(i + 1)
Let y = 59 - 56. Let r(q) = -11*q**4 - 6*q**3 + 8*q**2 + 14*q + 3. Let c(x) = -4*x**4 - 2*x**3 + 3*x**2 + 5*x + 1. Let j(f) = y*r(f) - 8*c(f). Factor j(z).
-(z - 1)*(z + 1)**3
Find w such that 12*w**5 - 2*w**4 + 0*w**4 - 4*w**5 + w**4 + 3*w**4 + 12*w**2 - 22*w**3 = 0.
-2, 0, 3/4, 1
Let v(k) be the second derivative of k**8/840 + k**7/1260 - 17*k**3/6 - 26*k. Let o(n) be the second derivative of v(n). Suppose o(c) = 0. Calculate c.
-1/3, 0
Let j(g) = 24*g**4 + 45*g**3 + 36*g**2 + 15*g. Let m(i) = 3*i**4 + i**3 - i**2 + i. Let x(z) = -j(z) + 3*m(z). Factor x(v).
-3*v*(v + 1)**2*(5*v + 4)
Let v(c) be the first derivative of c**4/12 + c**3/3 - 3*c**2/2 + 29*c + 22. Let z(x) be the first derivative of v(x). Factor z(l).
(l - 1)*(l + 3)
Suppose -311*i = -305*i. Determine z so that -3/7*z**3 + 0*z - 6/7*z**2 + i + 3/7*z**4 = 0.
-1, 0, 2
Let g be (-158)/(-6) + (-3)/9. Factor g + 3*b + 5*b**2 - 43*b + 54.
5*(b - 4)**2
Let f(b) be the third derivative of 0 - 6*b**2 + 0*b**4 + 1/600*b**6 + 0*b + 1/300*b**5 + 0*b**3. Find d, given that f(d) = 0.
-1, 0
Let k(x) be the first derivative of 6 + x + 15/4*x**2 + 20/3*x**3 + 25/4*x**4 + 3*x**5 + 7/12*x**6. Factor k(q).
(q + 1)**4*(7*q + 2)/2
Suppose 0 = 3*d + 2 - 8. Factor -v**d - 392 - v**2 - 12*v + 68*v.
-2*(v - 14)**2
Let z(s) be the second derivative of s**6/75 - s**5/25 - s**4/6 + 2*s**3/5 - 3*s + 19. Find g, given that z(g) = 0.
-2, 0, 1, 3
Suppose -3*j + 24 = -0*j. Suppose -4*n = 2*p - j, 0 = -3*n - 2*p - 6 + 12. Factor 0*y**n + 0 + 7/4*y**5 + 0*y - 1/2*y**3 - 5/4*y**4.
y**3*(y - 1)*(7*y + 2)/4
Let i = -204630/7 + 29242. What is a in -16/7*a - i - 1/7*a**2 = 0?
-8
Factor -21/2*w - 3*w**2 - 9/2.
-3*(w + 3)*(2*w + 1)/2
Let x(y) be the first derivative of 33 - 1/30*y**3 - 3/20*y**2 - 1/5*y. Factor x(b).
-(b + 1)*(b + 2)/10
Let t = -44 + 50. Let n(l) = l**3 + 5*l**2 - 7*l - 2. Let d be n(-6). Solve -6*a**d + 0*a**2 + t*a**3 + 0*a**5 + a**2 + 2*a**5 - 3*a**2 = 0 for a.
0, 1
Let v be 138/42 - (-4)/(-14). Suppose 2*f = -2*k + 2, 0 = 3*k - v*f - 4 - 11. Suppose 26*y**4 - 2*y**2 + y**3 + y**k - 2*y**2 - 24*y**4 = 0. Calculate y.
-2, 0, 1
Let c = 218 - 216. Let l(u) be the first derivative of 0*u - 6 + 0*u**c - 1/2*u**3 - 3/8*u**4 + 9/5*u**5. Determine r, given that l(r) = 0.
-1/3, 0, 1/2
Let z be (-5)/(-35)*0/6. Solve -16/15*c**2 + 2/5*c**4 - 2/15*c**3 + z - 8/15*c = 0.
-1, -2/3, 0, 2
Let u(v) = -v**2 - 2*v + 1. Suppose -h + n + 5 = -2, 4*n + 22 = h. Let y(g) = 1 + h - 4. Let j(o) = -3*u(o) - 6*y(o). Suppose j(f) = 0. What is f?
-1
Let j = 99593/7002 - 1/778. Determine f so that -20/9*f**4 - 2/9*f**5 - j + 160/9*f - 50/9*f**3 + 40/9*f**2 = 0.
-4, 1
Let i = -13 - -80. Determine u so that 6*u - 32*u**4 - 65*u**2 - 46*u**3 + i*u**2 - 50*u**3 = 0.
-3, -1/4, 0, 1/4
Suppose -36 + 164 = 8*b. Let z(i) = 36*i**3 + 40*i**2 - 124*i + 96. Let m(s) = -7*s**3 - 8*s**2 + 25*s - 19. Let l(o) = b*m(o) + 3*z(o). Factor l(r).
-4*(r - 1)**2*(r + 4)
Let b(h) be the third derivative of -h**6/240 - h**5/40 + 13*h**4/48 + 5*h**3/4 - 428*h**2. Factor b(a).
-(a - 3)*(a + 1)*(a + 5)/2
Factor -4 - 2*q**3 + 4*q**2 - 9*q**3 + 4*q**3 + 5*q**3 + 2*q.
-2*(q - 2)*(q - 1)*(q + 1)
Let q(p) = 4*p + 6. Let r be q(-1). Let -122 + d + d**r + 122 = 0. Calculate d.
-1, 0
Let h(u) be the third derivative of -u**5/90 - 2*u**4/9 + u**3 + 941*u**2. Determine q, given that h(q) = 0.
-9, 1
Determine l, given that -l + 0*l**5 + 6*l**4 + 5*l + 13*l**2 + 0*l**5 + 13*l**3 + l**5 - l**2 = 0.
-2, -1, 0
What is t in 44/3*t + 2*t**2 + 14/3 = 0?
-7, -1/3
Let 52*h**3 + 112/5*h - 464/5*h**2 - 28/5*h**4 + 0 = 0. What is h?
0, 2/7, 2, 7
Solve -2/11*g**3 + 146/11*g**2 - 2590/11*g - 2738/11 = 0 for g.
-1, 37
Let s = 1 + 7. Determine n so that -3*n**3 + 0*n**3 + s*n - 3*n**2 - 2*n**2 + 4*n**2 - 4 = 0.
-2, 2/3, 1
Suppose -3445 = 3*d - 3454. Factor -1/2*k**d + 0*k**2 + 0 + 0*k - 1/2*k**4.
-k**3*(k + 1)/2
Let l be (-2604)/(-1674)*(-24)/(-14). What is o in -4*o**2 + 4/3*o**4 + l*o**3 + 0*o + 0 = 0?
-3, 0, 1
Let m(q) = 3*q**4 - 275*q**3 + 270*q**2 - 2*q + 4. Let o(x) = 15*x**4 - 1376*x**3 + 1350*x**2 - 11*x + 22. Let d(c) = -11*m(c) + 2*o(c). Factor d(a).
-3*a**2*(a - 90)*(a - 1)
What is u in -6 - 129/4*u**2 - 27/4*u**4 - 87/4*u**3 - 3/4*u**5 - 45/2*u = 0?
-4, -2, -1
Solve -179/4*d + 151/8*d**2 + 10 + 1/2*d**3 = 0.
-40, 1/4, 2
Let u(y) be the first derivative of 6*y**5/25 - y**4/5 - 6*y**3/5 + 8*y/5 + 121. Solve u(s) = 0.
-1, 2/3, 2
Let c(t) be the first derivative of -5*t - 2/21*t**3 - 1/14*t**4 - 1/15*t**6 + 0*t**2 + 1 + 6/35*t**5. Let p(j) be the first derivative of c(j). Factor p(n).
-2*n*(n - 1)**2*(7*n + 2)/7
Let j be 3 - 1 - (0 + 2). Let q be (5 - 9) + (j - -11). Factor 10 - 9*p - q + 0*p**2 + 6*p**2.
3*(p - 1)*(2*p - 1)
Let j(v) be the third derivative of -v**6/24 + 43*v**5/12 - 805*v**4/8 + 735*v**3/2 - 40*v**2. Factor j(f).
-5*(f - 21)**2*(f - 1)
Let k(c) be the second derivative of 0 + 1/90*c**5 + 1/270*c**6 + 22*c + 1/108*c**4 + 0*c**2 + 0*c**3. Determine q so that k(q) = 0.
-1, 0
Factor 110 + 114 + 114 - 341 + 3*t**2.
3*(t - 1)*(t + 1)
Let z(w) be the first derivative of -w**3 - 27*w**2/2 - 42*w - 22. Determine j, given that z(j) = 0.
-7, -2
Let j be 0*(-2 - -1) - -8. Suppose -3*c - 4*w = -18 + 4, 0 = 4*w - j. Solve 3*d - 6*d + 2*d + d**c - 2 = 0.
-1, 2
Let q = 178 - 377. Let z = -197 - q. Suppose -2/13*u - 2/13*u**z + 0 = 0. What is u?
-1, 0
Let m = -703 - -706. Let w(p) be the second derivative of 1/16*p**4 + 0 - p**m + 6*p**2 - 3*p. Factor w(k).
3*(k - 4)**2/4
Suppose -87*l = -86*l. Let m(s) be the third derivative of l*s + 3/8*s**4 + 0 - 4*s**2 - s**3 - 1/20*s**5. Let m(p) = 0. Calculate p.
1, 2
Let p = -11852 - -11854. Factor -98/3 - 28/3*o - 2/3*o**p.
-2*(o + 7)**2/3
Let k(y) be the second derivative of y**4/4 - 10*y**3 + 57*y**2/2 + 652*y. Solve k(t) = 0 for t.
1, 19
Let i = 20 - 12. Suppose i = 2*v + 4. Solve -v*g**2 - 6 + 4*g + 3*g**2 + 10 = 0 for g.
-2
Let p(i) = i + 8. Let t be p(-6). Suppose 4*b - 4 = t*u, -2*u - u = b - 8. Factor 0*y + y**b + y - y.
y**2
Suppose -4*z + 2*z - 4*n + 16 = 0, -4*n = -2*z - 8. Factor 0*m - 2/13*m**3 + 0 + 10/13*m**z.
-2*m**2*(m - 5)/13
Let d(n) be the third derivative of n**8/30240 - n**5/6 + 11*n**2. Let f(o) be the third derivative of d(o). Factor f(p).
2*p**2/3
Let i = -2180/91 - -252/13. Let m = -274/63 - i. Factor -4/9 + 2*r - 4/3*r**4 + m*r**5 - 32/9*r**2 + 28/9*r**3.
2*(r - 2)*(r - 1)**4/9
Find d, given that 0 + 51*d + 3/2*d**3 - 57/2*d**2 = 0.
0, 2, 17
Let s(v) be the second derivative of -v**7/147 - 19*v**6/105 - 31*v**5/70 + 17*v**4/14 + 8*v. Let s(i) = 0. Calculate i.
-17, -3, 0, 1
Let i(p) be the first derivative of p**6/2 + 36*p**5/5 + 24*p**4 - 70*p**3 - 675*p**2/2 + 750*p - 74. Let i(x) = 0. Calculate x.
-5, 1, 2
Let t(i) be the second derivative of -i**4/12 + i**3/6 + 15*i**2 - 29*i. Determine p so that t(p) = 0.
-5, 6
Let u be -4 + 10 + (-6 + -2)/2. Suppose 0 - 1/6*t**3 + 0*t + 1/6*t**u = 0. Calculate t.
0, 1
Suppose -4*f + 15 = -9. Let v = 9 - f. Find r such that 15*r**2 + 5*r**4 + 4*r**3 + 8*r**v - 8*r**2 - 3*r**2 = 0.
-2, -2/5, 0
Find p such that 14/13*p**2 + 18/13 + 2/13*p**3 + 30/13*p = 0.
-3, -1
Let y(u) be the second derivative of u**8/3360 - u**7/1680 - u**6/720 + u**5/240 + 4*u**3/3 + 10*u. Let l(q) be the second derivative of y(q). Factor l(i).
i*(i - 1)**2*(i + 1)/2
Suppose -14*l - 42 - 10 - l**2 + 3 = 0. What is l?
-7
Let u(q) be the third derivative of 0*q**3 + 6*q**2 - 1/280*q**8 + 