be the third derivative of t**6/660 + t**5/110 - 68*t**2. Determine f so that g(f) = 0.
-3, 0
Let x(u) be the second derivative of u**4/9 + 4*u**3/9 - 16*u**2/3 + 14*u. Factor x(b).
4*(b - 2)*(b + 4)/3
Let w(t) be the third derivative of t**7/840 + t**6/30 + 2*t**5/5 - 7*t**4/4 + 10*t**2. Let u(v) be the second derivative of w(v). Factor u(m).
3*(m + 4)**2
Let a(w) = -w**2 - 6*w - 6. Let p be a(-4). Suppose -p = s - 5. Factor -11*m**5 + m**s + 10*m**5 + 0*m**4 - m**4 + m**2 + 0*m**3.
-m**2*(m - 1)*(m + 1)**2
Let r(t) be the first derivative of -4/9*t**3 + 4/3*t**2 + 4*t + 1. Solve r(l) = 0.
-1, 3
Suppose -14147*z**2 - 11*z - 3*z**3 - 58*z + 14219*z**2 = 0. Calculate z.
0, 1, 23
Let n = 15298/1293 - -5/2586. Solve -2*b - 10/3*b**2 - 7/2*b**4 + n*b**3 + 0 = 0.
-2/7, 0, 2/3, 3
Let c(o) = -o**4 + o. Let d be ((-2)/(-2))/((-3)/(-4 - 2)). Let x(a) = 4*a**4 - 10*a**3 + 18*a**2 - 16*a + 4. Let z(w) = d*c(w) + x(w). Factor z(j).
2*(j - 2)*(j - 1)**3
Let v(w) be the third derivative of 1/1008*w**8 - 1/360*w**6 + 4*w**2 - 1/630*w**7 + 1/180*w**5 + 0*w + 0 + 0*w**3 + 0*w**4. Factor v(k).
k**2*(k - 1)**2*(k + 1)/3
Suppose -8 = -3*v - 4*d, 5*d - 6 + 42 = 2*v. Let q = 10 - v. Solve 14*k**q - 22/3*k + 8/3*k**4 + 4/3 - 32/3*k**3 = 0 for k.
1/2, 1, 2
Let n(u) be the third derivative of u**5/240 + 7*u**4/48 - 17*u**3/8 - 73*u**2. Factor n(b).
(b - 3)*(b + 17)/4
Let a(c) = -11*c**2 + 17*c - 62. Let o(u) = 35*u**2 - 51*u + 190. Let h(k) = -19*a(k) - 6*o(k). What is l in h(l) = 0?
-19, 2
Let o(x) = -4*x**3 - 8*x**2 + 2*x + 8. Let z(t) = t**2 + t - 1. Let p(m) = o(m) + 2*z(m). Suppose p(f) = 0. Calculate f.
-3/2, -1, 1
What is t in 5/2*t**2 - 21/8*t + 0 + 1/8*t**3 = 0?
-21, 0, 1
Let k be 1/((2/(-15))/(6/9)). Let t be (88/(-55))/((3/k)/3). Suppose t*s**2 + 5/2*s**4 + 17/2*s**3 + 0 + 2*s = 0. Calculate s.
-2, -1, -2/5, 0
Factor 12*s**2 + 2*s**2 - 15*s**2 - 40*s + 7*s**2 - 5 - 9.
2*(s - 7)*(3*s + 1)
Let w(x) be the third derivative of -5*x**6/144 - x**5/12 - x**4/12 - x**3/6 - 6*x**2. Let r(a) be the first derivative of w(a). Factor r(h).
-(5*h + 2)**2/2
Let s(f) be the third derivative of 0 + 21*f**2 + 5/12*f**4 - 5/6*f**3 + 0*f - 1/12*f**5. Factor s(k).
-5*(k - 1)**2
Let t(b) be the second derivative of -b**4/48 - 9*b**3/8 - 13*b**2/4 + b + 297. Factor t(a).
-(a + 1)*(a + 26)/4
Solve -264*u**2 - 407*u**2 - 25*u**4 + 7203 + 181*u**2 + u**5 + 210*u**3 - 1715*u = 0 for u.
-3, 7
Let r be (-424)/(-265)*50/280. Factor 12/7*f**5 + 16/7*f**3 + 0 - r*f**2 - 26/7*f**4 + 0*f.
2*f**2*(f - 1)**2*(6*f - 1)/7
Let s = -10352/5 + 2071. Factor -3/5*r**2 - s*r**3 + 3/5 + 3/5*r.
-3*(r - 1)*(r + 1)**2/5
Factor -12/5 + 8/5*z**3 - 1/5*z**4 + 28/5*z - 23/5*z**2.
-(z - 3)*(z - 2)**2*(z - 1)/5
Suppose 0 = -13*d + 39. Let q(p) be the first derivative of 0*p + 9/4*p**4 + 3/5*p**5 - 1 + 0*p**2 + 2*p**d. Suppose q(h) = 0. What is h?
-2, -1, 0
Let n(m) be the first derivative of 7*m**4 - 12*m**3 - 164*m**2 + 96*m + 6. Find k, given that n(k) = 0.
-3, 2/7, 4
Let t(f) be the first derivative of -5/18*f**3 - 1/60*f**5 - 1/9*f**4 - 1/3*f**2 - 4*f + 6. Let d(g) be the first derivative of t(g). Factor d(j).
-(j + 1)**2*(j + 2)/3
Let u(d) be the first derivative of -d**5/3 + 5*d**4/3 - 5*d**3/3 - 10*d**2/3 + 20*d/3 - 226. Solve u(c) = 0 for c.
-1, 1, 2
Determine n, given that -51/5*n**2 + 3/5*n + 51/5 - 3/5*n**3 = 0.
-17, -1, 1
Suppose 18*s - 40 = -2*s. Let l(j) be the second derivative of 0*j**s - 2/35*j**5 + 0 - 9*j + 0*j**3 - 2/21*j**4 - 1/105*j**6. Factor l(d).
-2*d**2*(d + 2)**2/7
Let v(s) be the first derivative of -s**5/40 + 5*s**4/4 - 25*s**3/8 - 5*s**2/2 + 19*s/2 + 328. Let v(m) = 0. Calculate m.
-1, 1, 2, 38
Let s(c) be the third derivative of 1/385*c**7 + 10*c**2 - 1/132*c**6 + 0 + 0*c**4 + 1/330*c**5 + 3/616*c**8 + 0*c**3 + 0*c. Let s(g) = 0. Calculate g.
-1, 0, 1/3
Let r = 1024/7 + -76. Let n = r + -70. Determine j so that 2/7*j + n*j**2 + 0 = 0.
-1, 0
Let r(j) be the first derivative of 4 - 5*j**2 - 5/2*j**4 + 0*j - 25/3*j**3. Factor r(v).
-5*v*(v + 2)*(2*v + 1)
Let g = 59/51 + 3/17. Suppose 70 = 3*f + 64. What is o in 2/3 + g*o**f + 2*o = 0?
-1, -1/2
Factor 1/4*z**4 - 3*z + 9/4 - 1/2*z**2 + z**3.
(z - 1)**2*(z + 3)**2/4
Let y(x) be the second derivative of x**6/40 - x**4/8 - 8*x**2 - 13*x. Let q(g) be the first derivative of y(g). Factor q(v).
3*v*(v - 1)*(v + 1)
Suppose 3*v = 3*t - 180, -4*v + 68 = -5*v + 3*t. Let o = v + 115/2. Factor 2*l**2 - 5/6*l**3 - o*l + 1/3.
-(l - 1)**2*(5*l - 2)/6
Let i(v) be the third derivative of v**7/3780 + v**6/540 + 7*v**3/3 + 2*v**2. Let y(d) be the first derivative of i(d). Factor y(r).
2*r**2*(r + 3)/9
Let m(a) be the first derivative of -a**4/6 + 8*a**3/3 - 7*a**2 + 20*a/3 - 243. Determine s so that m(s) = 0.
1, 10
Find j such that j**5 + 0 + 4/3*j + 4/3*j**2 - 4/3*j**4 - 7/3*j**3 = 0.
-1, -2/3, 0, 1, 2
Suppose 57*z + 53 = 167. Factor -7/2*b + 5/2*b**z + 1.
(b - 1)*(5*b - 2)/2
Find j such that 74 + 224*j**2 - 3*j - 26 - 445*j**2 + 217*j**2 + 7*j = 0.
-3, 4
Suppose j - 6*j + 3*x = -1, 0 = 2*j + 3*x + 8. Let y be (-40)/24*3/j. Factor -3*d**2 + 32*d**4 + 9*d**3 - 41*d**4 + 0*d**5 + 3*d**y.
3*d**2*(d - 1)**3
Suppose 4/7*h**2 + 4/7*h**3 - 24/7*h + 0 = 0. What is h?
-3, 0, 2
Suppose -m = -2*m + 68. Factor -134*y**3 - 3*y + 70*y**3 + m*y**3 - y.
4*y*(y - 1)*(y + 1)
Suppose -372 = -48*y - 180. What is k in -2*k - 2*k**5 + 4/5*k**y - 8/5*k**2 + 4*k**3 + 4/5 = 0?
-1, 2/5, 1
Let q(o) be the third derivative of -o**5/30 - 5*o**4/4 + 16*o**3/3 - 2*o**2 - 7*o. Factor q(y).
-2*(y - 1)*(y + 16)
Determine j, given that 28 + 0*j**3 - 92*j + 188 + 6*j**3 - 2*j**3 - 16*j = 0.
-6, 3
Let o(z) = -z**2 + 8*z + 40. Let s be o(11). Let w(r) be the first derivative of -2/5*r**4 - 1/5*r**2 + 0*r - 2/3*r**3 - s. Factor w(b).
-2*b*(b + 1)*(4*b + 1)/5
Let l(n) be the first derivative of 0*n**2 + 0*n**3 + 23 + 0*n - 5/12*n**4. Solve l(q) = 0 for q.
0
Find d such that -2626*d**3 - 716*d - 193 + 2724*d + 1708*d**2 - 1580*d**3 + 529 + 56*d**4 + 98*d**5 = 0.
-7, -2/7, 1, 6
Let l(n) = -48*n**3 - 2289*n**2 + 33. Let s(a) = 3*a**3 + 143*a**2 - 2. Let p(m) = 2*l(m) + 33*s(m). Solve p(j) = 0.
-47, 0
Let v(u) be the first derivative of -u**4/22 - 18*u**3/11 - 168*u**2/11 + 392*u/11 - 111. Factor v(x).
-2*(x - 1)*(x + 14)**2/11
Let i(z) = 125*z**5 - 140*z**4 + 125*z**3 + 55. Let g(v) = 9*v**5 - 10*v**4 + 9*v**3 + 4. Let h(l) = -55*g(l) + 4*i(l). Factor h(j).
5*j**3*(j - 1)**2
Let z(y) be the first derivative of -3 - 12/7*y**2 - 4/21*y**3 - 36/7*y. Factor z(m).
-4*(m + 3)**2/7
Suppose 5*c = -15, 0 = 3*a + 2*c - 0*c. Let 4*y - 4*y - 2*y**3 + 6*y - 4*y**a = 0. What is y?
-3, 0, 1
Let f(u) = -14 + 66*u - 11 - 70*u. Let b be f(-7). Factor 0*m + 2/3*m**b + 0*m**2 - 1/3*m**5 - 1/3*m**4 + 0.
-m**3*(m - 1)*(m + 2)/3
Suppose 126 - 5 = 35*s + 16. Find l such that -2*l + 1/2*l**4 + l**s + 2 - 3/2*l**2 = 0.
-2, 1
Let z(n) = n**2 - 4*n - 5. Let k be z(6). Let i = k + -7. Let i*l**2 + 3*l**2 + 3*l**3 + 0*l**2 = 0. Calculate l.
-1, 0
Let a = -354 - -354. Let o(y) be the first derivative of 0*y - 2/15*y**3 + 1 + a*y**2. Suppose o(h) = 0. What is h?
0
Let a(g) = -g**2 - 4*g + 4. Let b be a(-4). Suppose 5*p = -4*c + 7, c + b*c + p = 14. Solve 2*r + 6*r**3 - 8*r**4 + 0*r**4 - c*r + 3*r**5 = 0.
-1/3, 0, 1
Let d = 6 - -1. Suppose 3*p - 5 - d = 0. Suppose -4*r**5 + 5 + 8*r**3 - 3*r - 4*r**2 - r + 3*r**4 - 3 - r**p = 0. What is r?
-1, 1/2, 1
Suppose -2*s = 3 - 23. Find k, given that -k**4 - 23*k**3 + 5*k + 15*k**2 - s + 18*k**3 - 4*k**4 = 0.
-2, -1, 1
Determine q, given that -11*q + 6*q**2 - 4*q**2 - 6*q + q + 14 = 0.
1, 7
Let p(d) = 14*d**3 - d**2 + 2*d - 1. Let r be p(1). Let i = -9 + r. Factor 9 - 2 - 1 + 20*a + 6*a**2 - i*a.
3*(a + 2)*(2*a + 1)
Suppose -3*k = -3*x - 2*x - 67, 0 = 5*k + 4*x - 87. Suppose -2*l - k = -4*l - 3*b, 20 = 4*b. Factor l*f + 0*f**4 - f**4 + 6*f**2 + 3 - 10*f.
-(f - 1)**3*(f + 3)
Let u(t) be the second derivative of -7*t**4/18 + 4*t**3/3 + 4*t**2/3 - t. Solve u(d) = 0.
-2/7, 2
Let l(j) be the first derivative of -1/2*j**3 - 9 + 0*j**2 + 0*j. Suppose l(b) = 0. What is b?
0
Let l(v) = v**2 - 2*v - 5. Let i be l(5). Let u(s) = s**3 - 10*s**2 + 2. Let g be u(i). Factor -1/5*o**g + 3/5 + 2/5*o.
-(o - 3)*(o + 1)/5
Suppose 5*f + 0*a = -3*a + 48, 3*a - 30 = -3*f. Factor 15 + 4*l - 2*l**2 + 7 - 3