pose -8 = -55*w + 279 + 373. Factor -20/3*i**l + 0 + 4/3*i + w*i**4 + 4*i**3.
4*i*(i + 1)*(3*i - 1)**2/3
Let v(w) be the third derivative of w**9/15120 - w**8/4200 + w**7/4200 + 5*w**3/3 + 9*w**2. Let r(n) be the first derivative of v(n). Solve r(u) = 0 for u.
0, 1
Let o = -39 + -5. Let q = o - -47. Find b such that -6/7*b**4 - 6/7*b**q - 2/7*b**2 - 2/7*b**5 + 0*b + 0 = 0.
-1, 0
Let o(a) be the second derivative of -a**5/170 - 7*a**4/102 - 2*a**3/17 + 53*a. Suppose o(l) = 0. What is l?
-6, -1, 0
Let u = -21/19 + 124/95. Factor 3/5*n - 3/5*n**3 + u*n**4 + 4/5 - n**2.
(n - 4)*(n - 1)*(n + 1)**2/5
Factor 2/17*b**2 - 164/17 + 162/17*b.
2*(b - 1)*(b + 82)/17
Let j = -652/735 + 50/49. Let -j*o**3 + 0 + 0*o - 4/15*o**2 = 0. Calculate o.
-2, 0
Suppose 4*n + 38 - 10 = 0. Let t be (14/(-6))/n*3. Factor 5/2*x - 2*x**2 + 1/2*x**3 - t.
(x - 2)*(x - 1)**2/2
Suppose 0*m = -4*m + 16. Suppose -m*o - 4*i = o - 32, 3*o - 34 = 5*i. Solve -6*g**2 + 14*g**3 - 4*g + 9*g**4 + 15*g**4 - o*g**2 = 0.
-1, -1/4, 0, 2/3
Let c(h) be the second derivative of 1/2*h**4 + 0 + 4/3*h**2 + 4/3*h**3 - 5*h. Factor c(a).
2*(3*a + 2)**2/3
Let z(j) be the first derivative of j**4 + 84*j**3 + 2646*j**2 + 37044*j + 98. Factor z(i).
4*(i + 21)**3
Let y(o) be the second derivative of o**6/100 + 11*o**5/200 + o**4/15 - o**3/15 + o - 3. What is k in y(k) = 0?
-2, 0, 1/3
Let i(k) be the third derivative of k**7/1260 - k**4/2 - 12*k**2. Let t(y) be the second derivative of i(y). Find n such that t(n) = 0.
0
Let s(x) = x**3 + 3*x**2 + 2*x. Let p be s(-2). Factor 18*z**4 - 6*z**2 - 12*z**4 + 3*z + p*z**5 - 3*z**5.
-3*z*(z - 1)**3*(z + 1)
Let p be (2/6)/(23/138). Find u such that 4*u**2 + 2*u**3 - 2*u**4 - 2*u**p - 9*u + 7*u = 0.
-1, 0, 1
Let f(o) be the first derivative of -o**3 + 36*o**2 + 156*o + 276. Solve f(q) = 0.
-2, 26
Let k(o) be the third derivative of -o**9/22680 + o**8/5040 - o**7/3780 + o**5/30 + 18*o**2. Let f(q) be the third derivative of k(q). Factor f(l).
-4*l*(l - 1)*(2*l - 1)/3
Let b(g) be the first derivative of 2*g**6 - 9 - 2*g - 7/2*g**2 + 47/5*g**5 + 55/4*g**4 + 5*g**3. Solve b(s) = 0.
-2, -1, -1/4, 1/3
Let j(h) be the first derivative of -2*h**4/5 + 6*h**3/5 - 2*h**2/5 - 17. Determine i so that j(i) = 0.
0, 1/4, 2
Let q = 1785 + -1785. Factor -2/15*i**3 + 2/15*i**2 + q*i + 0.
-2*i**2*(i - 1)/15
Let r(j) be the first derivative of -j**6/30 + 8*j**5/25 - 7*j**4/20 + 41. Determine t, given that r(t) = 0.
0, 1, 7
Factor -7/5*z**2 - 11/5*z**4 - 2/5*z + 4*z**3 + 0.
-z*(z - 1)**2*(11*z + 2)/5
Let r(s) = -2*s**4 - s**3 - 27*s**2 + 19*s. Let l(t) = t**4 + t**3 + 14*t**2 - 10*t. Let c(n) = 11*l(n) + 6*r(n). Suppose c(k) = 0. What is k?
0, 1, 2
Suppose j + 0 = 2. Let f = j + 1. Solve 2*z**4 + 4*z**3 - 4*z**f = 0 for z.
0
Let z be (82/27 - 0) + -3. Let w(g) be the first derivative of 0*g + 2/45*g**5 + 1/18*g**4 - 6 - z*g**6 - 2/27*g**3 + 0*g**2. Factor w(a).
-2*a**2*(a - 1)**2*(a + 1)/9
Let c(x) = 2*x**2 + 9*x + 5. Let g(f) = f + 1. Let s be (-15)/20 - (-2)/(-8). Let y = s - -6. Let q(z) = y*g(z) - c(z). Factor q(i).
-2*i*(i + 2)
Solve 8*q**5 + 69*q**2 + 16*q + 27*q**3 + 73*q**3 + 57*q**4 + 15*q**5 - 13*q**5 = 0.
-16/5, -1, -1/2, 0
Let w be -26 + 127 - 1/(-1). Suppose 51*d**2 + 7*d - 105*d**3 - 216*d**2 - 20*d**4 - 15 - w*d = 0. What is d?
-3, -1, -1/4
Let q(a) be the second derivative of -a**4/28 - 61*a**3/14 - 294*a - 1. Factor q(w).
-3*w*(w + 61)/7
Let v(z) = 9*z**3 + 14*z**2 - 3*z + 1. Suppose -4 + 16 = 4*h. Let b(x) = 2*x - 4*x**h - 6*x**3 + 17*x**2 - 31*x**2. Let t(f) = 3*b(f) + 2*v(f). Solve t(i) = 0.
-1, -1/2, 1/3
Let r = -4378/15 - -292. Let t be (-228)/(-180) - ((3 - (-20)/(-4)) + 3). Factor 0*h**3 - t*h - 2/5*h**2 + r*h**4 + 0.
2*h*(h - 2)*(h + 1)**2/15
Let w(s) = -s**2 - 7*s + 14. Let a(v) = -v**2 + 2. Let k(x) = 6*a(x) - 3*w(x). Find n, given that k(n) = 0.
2, 5
Factor 100*v**2 + 3*v**4 + 2*v**4 - 9*v**3 - 6*v - 36*v**3 - 18*v - 36*v.
5*v*(v - 6)*(v - 2)*(v - 1)
Let v(g) be the first derivative of 3*g**4/8 + 9*g**3/2 + 3*g**2/2 - 72*g + 583. Let v(w) = 0. What is w?
-8, -3, 2
Let v(a) be the first derivative of -1/5*a**5 - 1/2*a**4 + a**2 + a + 0*a**3 + 21. Factor v(p).
-(p - 1)*(p + 1)**3
Solve -1521/2 + 39*l - 1/2*l**2 = 0.
39
Let k = 27022 - 27020. Factor 2 - 2/3*t**3 - 14/3*t + 10/3*t**k.
-2*(t - 3)*(t - 1)**2/3
Let x be (-10)/25 + -22*(-2)/10. Factor 3354 + 117*c**2 - 1452*c + 672 + 15*c**2 - x*c**3 + 1298.
-4*(c - 11)**3
Let r = -2940 - -20590/7. Factor -16/7*b - 2/7*b**4 - 2/7*b**5 + 8/7 + r*b**3 + 2/7*b**2.
-2*(b - 1)**3*(b + 2)**2/7
Find x such that -1/3*x**2 + 0 + 1/6*x + 1/6*x**3 = 0.
0, 1
Factor 3*g**2 + 48*g**2 - 48*g + 6553*g**3 - 6556*g**3.
-3*g*(g - 16)*(g - 1)
Let c(k) be the second derivative of -k**4/24 + 41*k**3/6 - 1681*k**2/4 - 146*k. Factor c(x).
-(x - 41)**2/2
Let d(v) be the first derivative of 0*v**2 + 0*v**4 - 9 - 2*v**3 + 3/5*v**5 + 3*v. Factor d(a).
3*(a - 1)**2*(a + 1)**2
Let x(u) be the first derivative of 3*u**4/28 + u**3/7 - 3*u**2/14 - 3*u/7 - 115. Let x(r) = 0. Calculate r.
-1, 1
Let s = 95/744 + -8/93. Let w(x) be the second derivative of 1/48*x**4 - s*x**6 + 1/84*x**7 + 0 - 2*x - 1/24*x**3 + 0*x**2 + 3/80*x**5. Factor w(c).
c*(c - 1)**3*(2*c + 1)/4
Let a(c) be the third derivative of 0 + 1/48*c**4 + 0*c**3 + 0*c - 44*c**2 - 3/140*c**7 + 1/24*c**5 + 1/80*c**6. Determine j, given that a(j) = 0.
-1/3, 0, 1
Suppose -3*y + a + 30 = -7, -51 = -5*y - a. Suppose 0 = -t - 3, 5*u + 4*t - y = t. Factor 4 - 8*p**2 - 6 + u.
-2*(2*p - 1)*(2*p + 1)
Determine p so that p**3 - 74 + 4 + 175*p**2 - 21*p**3 - 235*p = 0.
-1/4, 2, 7
Suppose 0 = o - 3*o + 3*k + 8, 0 = -3*k + 6. Determine m so that 10 - 40*m**2 + 5*m**2 + o*m**4 + 18*m**4 + 15*m + 0 - 15*m**3 = 0.
-1, -2/5, 1
Let m be (-6)/9 - (-2)/3. Let p(y) = y**2 + 10*y + 22. Let u be p(-7). Let -g**2 - 2*g - 2 + u + m = 0. What is g?
-1
Let n(a) = 2*a**2 - 10*a - 12. Let i(b) = -b**2 + 11*b + 12. Let m(v) = -4*i(v) - 3*n(v). Determine f so that m(f) = 0.
-6, -1
Let u(z) be the third derivative of z**6/540 - 7*z**5/27 + 151*z**2 - 2. Factor u(p).
2*p**2*(p - 70)/9
Let k(a) be the second derivative of a**4/60 - a**3/2 + 3*a + 18. Factor k(w).
w*(w - 15)/5
Suppose -17*g**4 + 95*g**4 - 8891*g**2 + 3600*g**3 + 18306*g**2 + 102*g**4 + 14585*g**2 + 3*g**5 = 0. Calculate g.
-20, 0
Suppose -14 = -3*y - 8. Let o(i) be the third derivative of -1/150*i**6 + 4/75*i**5 + 3*i**y + 0*i**3 + 0*i + 0*i**4 + 0. Factor o(m).
-4*m**2*(m - 4)/5
Let t(n) be the first derivative of n**7/1890 - 2*n**5/135 + 8*n**3/27 + 33*n**2/2 - 21. Let g(p) be the second derivative of t(p). Suppose g(c) = 0. What is c?
-2, 2
Determine o so that 4*o**2 + 0*o**3 + 0 + 8/3*o - 4/3*o**4 = 0.
-1, 0, 2
Let a = -11028 - -772007/70. Let c = 15/14 - a. Suppose 0 + 1/5*z**5 + 0*z**3 - 1/5*z + 2/5*z**2 - c*z**4 = 0. What is z?
-1, 0, 1
Let j = 60 - 55. Let n(f) = -7*f**3 - 4*f**2 + 15*f + 12. Let s(z) = 4*z**3 + 2*z**2 - 8*z - 6. Let g(u) = j*s(u) + 3*n(u). Factor g(a).
-(a - 2)*(a + 1)*(a + 3)
Let w = 181588/8605 - 9/3442. Let b = w + -41/2. Factor b*j**4 - 9/5 - 18/5*j**3 + 3*j + 3/5*j**5 + 6/5*j**2.
3*(j - 1)**3*(j + 1)*(j + 3)/5
Let l(z) be the third derivative of -z**8/1680 + 2*z**7/315 - z**6/45 - z**4/12 + 3*z**2. Let i(k) be the second derivative of l(k). Factor i(t).
-4*t*(t - 2)**2
Let y = 2/915 - -101/305. Determine d so that -5/6*d**4 - 1/2*d**3 + 0*d + y*d**2 + 0 = 0.
-1, 0, 2/5
Let x(l) = 6*l - 34. Let w be x(6). Solve -4*g**2 + 7*g**2 + 0*g**w + 18*g = 0.
-6, 0
Let b(c) be the first derivative of c**6/30 - 26*c**5/25 + 54*c**4/5 - 162*c**3/5 - 729*c**2/10 - 49. Factor b(u).
u*(u - 9)**3*(u + 1)/5
Let p(f) be the second derivative of 43*f**4/6 + 27*f**3/2 + 3*f**2 + 43*f. Let r(i) = 17*i**2 + 16*i + 1. Let g(s) = -2*p(s) + 11*r(s). Factor g(z).
(z + 1)*(15*z - 1)
Let t be (-12285)/140 + (-2)/8. Let i = t - -90. Find z, given that -2*z**3 + 2/3*z**4 - 2/3*z + 2*z**i + 0 = 0.
0, 1
Let y(h) = -3*h**4 + 59*h**3 - 189*h**2 - 251*h. Let f(l) = -30*l**3 + 126*l**2 + 42*l - 9*l**3 + 125*l + 2*l**4. Let i(u) = -8*f(u) - 5*y(u). Factor i(d).
-d*(d - 9)**2*(d + 1)
Let l(k) = -2*k**4 - k**3 + k**2 + k - 1. Let n(c) = -c**4 - 1. Let u(b) = l(b) - n(b). Suppose u(t) = 0. What is t?
-1, 0, 1
Let k(o) = -2*o**3 - 2*o**2 - 1. Let b(t) = -5*t**3 + t**2