+ 0*i**4 + 0*i. Let u(a) be the third derivative of v(a). Factor u(t).
-t*(t + 1)
Let m(k) be the first derivative of k**3/5 + 15*k**2/2 + 59. Factor m(u).
3*u*(u + 25)/5
Let m = 4122 + -16481/4. Factor 1/2*x - 3/4*x**5 + 0 + m*x**4 - 3/4*x**2 - 3/4*x**3.
-x*(x - 1)**3*(3*x + 2)/4
Let h(w) = -2*w - 2. Let n be h(10). Let y = n - -25. Suppose -4*l**3 - 3*l**5 - l**4 + 4*l**4 + l**y + 3*l**4 = 0. Calculate l.
0, 1
Let l(z) be the second derivative of z**4/12 + 5*z**3/6 - 2*z**2 + 6*z. Let b be l(-9). Factor -h**2 - 18*h**4 + b*h**3 + 5*h**2 + 4*h**2.
-2*h**2*(h - 2)*(9*h + 2)
Let -d**4 + 21*d**3 - 15*d**2 + 107*d**2 + 21*d - 32*d**2 - 15*d**2 + 2*d = 0. Calculate d.
-1, 0, 23
Let g(o) = o**3 - 2*o**2 - o. Let r(n) = 12*n**3 + 74*n**2 + 190*n + 152. Let d(m) = 2*g(m) - r(m). Factor d(p).
-2*(p + 2)**2*(5*p + 19)
Let v(h) = -9*h**3 + 10*h**2 + 5*h - 5. Let u(s) = -2*s**3 + s**2 + s - 1. Let x(y) = 10*u(y) - 2*v(y). Factor x(a).
-2*a**2*(a + 5)
Let h be -6 - ((-32)/20)/((-24)/(-100)). Let y(s) be the first derivative of -2/9*s**2 + 2 + 2/27*s**3 - h*s. Factor y(p).
2*(p - 3)*(p + 1)/9
Suppose -d + 6*d - 1132 = 4*u, 1105 = 5*d + 5*u. Let t be d/96 + (8/(-6) - -1). Factor -4/5*q - 2/5*q**t - 2/5.
-2*(q + 1)**2/5
Let u(x) be the first derivative of 2*x**3/9 + 8*x**2/3 + 10*x - 49. What is c in u(c) = 0?
-5, -3
Let 14/3*u**2 + 1/3*u**3 + 64/3*u + 32 = 0. What is u?
-6, -4
Let k(z) be the first derivative of -1/2*z**2 - 2*z + 1/24*z**6 + 1/16*z**4 + 5/6*z**3 - 1/5*z**5 - 13. Let k(w) = 0. What is w?
-1, 2
Factor -18/11*s**4 + 0 - 20/11*s**3 + 0*s + 2/11*s**5 + 0*s**2.
2*s**3*(s - 10)*(s + 1)/11
Suppose -15*q = -498 + 498. Let k(o) be the second derivative of -1/80*o**5 + q + 1/24*o**3 + 1/48*o**4 + 0*o**2 - 7*o - 1/120*o**6. Factor k(d).
-d*(d - 1)*(d + 1)**2/4
Suppose -63*h + 20*h + 176 = 90. Let 0 + 4/3*z + 38/3*z**h = 0. What is z?
-2/19, 0
Let y(r) = 8*r**3 - 6*r**2 - 11. Let h(m) = 3*m**3 - 2*m**2 - 4. Let u(d) = -11*h(d) + 4*y(d). What is s in u(s) = 0?
-2, 0
Let z(a) = 2*a**3 + 16*a**2 + 16*a + 10. Let p be z(-8). Let i = p - -120. Factor 2/21*g**3 + 0 + 2/21*g + 4/21*g**i.
2*g*(g + 1)**2/21
Determine o so that 2154/7*o**2 + 2/7*o**4 + 20*o**3 + 10952/7 - 1480*o = 0.
-37, 2
Let f(t) = -t**5 + t**4 - t + 1. Let a(s) = -10*s**5 + 24*s**3 - 16*s**2 - 12*s + 12. Let r(q) = a(q) - 12*f(q). Factor r(p).
2*p**2*(p - 2)**3
What is x in 228*x**2 - 9*x**3 - 16*x**3 + 330 + 230*x**2 - 1009*x - 156*x + 402*x**2 = 0?
2/5, 1, 33
Let k(r) = -r**2 + 13*r + 6. Let j be k(12). Suppose -c + 491 - j = 0. Suppose 4*y**4 + y**4 - 473*y + c*y = 0. What is y?
0
Let i(o) be the third derivative of o**7/6 - 11*o**6/6 + 25*o**5/4 - 15*o**4/4 + 76*o**2 - 2. Suppose i(s) = 0. Calculate s.
0, 2/7, 3
Let m(w) be the first derivative of w**5/35 - w**4/14 - w**3/7 + 2*w**2/7 + 4*w/7 - 268. Find y such that m(y) = 0.
-1, 2
Let f(n) be the first derivative of n**6/3 + 6*n**5/5 - 25*n**4/2 - 18*n**3 + 108*n**2 + 216*n - 375. Find z, given that f(z) = 0.
-6, -2, -1, 3
Suppose 0*b + 6 = 3*b. Let j be -4 + (-14)/(-4)*2. Factor 13 + 3*l**j + 3*l**b - 13.
3*l**2*(l + 1)
Let q = -7167/8 - -898. Let y = q - 5/8. Suppose -3/2 + y*c**2 + 0*c = 0. Calculate c.
-1, 1
Factor 0 + 18/7*n**3 - 10/7*n**2 - 2/7*n**5 - 6/7*n**4 + 0*n.
-2*n**2*(n - 1)**2*(n + 5)/7
Let 15/4*u**5 - 5*u**2 - 5/4*u + 5*u**4 - 5/2*u**3 + 0 = 0. What is u?
-1, -1/3, 0, 1
Let f be (3335/(-161) + 20 - (-16)/42)*-1. Suppose -2/3*c + 1/3*c**3 + 0 - f*c**2 = 0. What is c?
-1, 0, 2
Let d(i) be the third derivative of -i**5/300 + i**4/12 - 5*i**3/6 + 10*i**2 - 8. Factor d(f).
-(f - 5)**2/5
Suppose 10*a - 22 = -z + 8*a, 0 = z + 14*a - 142. Let 0*i - 2/5*i**5 - 48/5*i**3 + 0 + 32/5*i**z + 18/5*i**4 = 0. What is i?
0, 1, 4
Let z = -263 - -4451/17. Let w = z - -208/119. Factor 0*j - 2/7*j**2 - w*j**3 + 0 - 2/7*j**4.
-2*j**2*(j + 1)**2/7
Let z = 49/207 - 1/69. Let f be 25/10 + 85/(-90). Factor f*v - 2/3 - 10/9*v**2 + z*v**3.
2*(v - 3)*(v - 1)**2/9
Solve 1/4*w**3 + 1/4*w**2 - 5/4*w + 3/4 = 0 for w.
-3, 1
Let u be (-48)/(-252)*(29/2 + -7). Solve -24/7*t**3 + 0 - u*t - 4*t**2 - 4/7*t**4 + 2/7*t**5 = 0.
-1, 0, 5
Let k(d) be the first derivative of 3*d**5 - 35*d**4/4 - 35*d**3/3 + 15*d**2/2 + 169. Solve k(l) = 0 for l.
-1, 0, 1/3, 3
Let j(i) be the third derivative of -29*i**2 + 0 + 0*i - 18/7*i**3 + 9/14*i**4 + 1/210*i**6 - 3/35*i**5. Factor j(w).
4*(w - 3)**3/7
Let z(t) be the second derivative of -t**5/240 - t**4/24 - 11*t**3/72 - t**2/4 - 49*t. Suppose z(l) = 0. Calculate l.
-3, -2, -1
What is a in 6 - 33/2*a + 21/2*a**2 = 0?
4/7, 1
Solve -6*l**2 + 8 - 296/5*l = 0.
-10, 2/15
Let a(i) be the first derivative of 16*i - 7*i**4 + 20*i**3 + 7 - 26*i**2 + 4/5*i**5. Determine q so that a(q) = 0.
1, 4
Factor 2*k**3 - 6*k**3 - 10*k**2 - k**3 + 2 + 38 + 20*k.
-5*(k - 2)*(k + 2)**2
Let q(d) be the first derivative of 48*d**5/5 - 42*d**4 + 73*d**3 - 63*d**2 + 27*d - 119. Determine m, given that q(m) = 0.
3/4, 1
Solve -48*h - 91*h - 27 + h**3 - 25*h**2 + 86*h = 0 for h.
-1, 27
Suppose 16*s - 10*s - 30 = 0. Let j(i) be the first derivative of 3 + 0*i**3 - 1/18*i**4 - 1/27*i**6 + 0*i + 0*i**2 + 4/45*i**s. Factor j(o).
-2*o**3*(o - 1)**2/9
Let f = -67 - -76. Let l be (-1 + 2)*f/45. What is g in -12/5*g**2 - 13/5*g**3 + 0 - 6/5*g**4 - 4/5*g - l*g**5 = 0?
-2, -1, 0
Let i(h) be the first derivative of h**7/840 + h**6/240 + h**5/240 - 25*h**2/2 + 18. Let p(q) be the second derivative of i(q). Find b such that p(b) = 0.
-1, 0
Let f be (-3)/8 - 14430/(-208). Let p be 3/108*f + (-3)/12. Determine b so that -2/3 + 17/3*b**2 + 41/3*b**3 + 7*b**4 - p*b = 0.
-1, -2/7, 1/3
Let s(n) = -3*n**4 + 3*n**3 + 2*n**2 - 10*n + 12. Let q(o) = 7*o**4 - 6*o**3 - 4*o**2 + 19*o - 26. Let j(m) = -2*q(m) - 5*s(m). Let j(v) = 0. What is v?
-2, 1, 2
Let h be (-334 - -334)/(-1*(0 - -1)). Factor 0*n**3 + 2/3*n**2 + h + 0*n - 2/3*n**4.
-2*n**2*(n - 1)*(n + 1)/3
Let g be ((-1)/10)/((-4)/486). Let h(k) be the second derivative of 0 + 7*k - 27/4*k**4 + 3/2*k**3 + g*k**5 - 1/6*k**2. Solve h(f) = 0 for f.
1/9
Let s(o) be the third derivative of o**6/40 + o**5/4 - 3*o**4/4 + 76*o**2. Suppose s(b) = 0. Calculate b.
-6, 0, 1
Suppose -2*r + 7*r = 3*r. Let j(d) be the third derivative of -1/320*d**6 + 0*d**3 + 1/840*d**7 + r*d + 5*d**2 + 0*d**4 + 0 + 1/480*d**5. Factor j(v).
v**2*(v - 1)*(2*v - 1)/8
Factor 6/5*f**4 + 66/5*f**3 + 0*f + 168/5*f**2 + 0.
6*f**2*(f + 4)*(f + 7)/5
Suppose -2*u - 2 = -2*r, u + 3*r + 8 - 27 = 0. Solve 8*q**2 + 56*q**4 - u*q - 64*q**4 + 0*q**5 + 4*q**5 = 0 for q.
-1, 0, 1
Let f = -13 + 2. Let a = 11 + f. Suppose 3/4*x**2 + 3*x + a = 0. Calculate x.
-4, 0
Let b(l) be the second derivative of 0 - 1/6*l**3 - 1/3*l**2 - 12*l - 1/36*l**4. Factor b(g).
-(g + 1)*(g + 2)/3
Let r = 419 - 6281/15. Let o(d) be the first derivative of 1/9*d**3 + 0*d + 3 + r*d**5 + 0*d**2 + 5/12*d**4. Suppose o(w) = 0. Calculate w.
-1, -1/4, 0
Let l(w) = w**3 - 6*w**2 + 5. Let q be l(6). Let m(f) be the third derivative of 11/30*f**q - 1/15*f**6 + 0*f - 2/3*f**3 + 0 + 6*f**2 - 5/12*f**4. Factor m(r).
-2*(r - 2)*(r - 1)*(4*r + 1)
Let k = 89 - 86. Let s(v) be the third derivative of 0*v + 0*v**k + 0*v**5 - 1/180*v**6 + 0*v**4 + 1/315*v**7 + 0 + 8*v**2. Factor s(m).
2*m**3*(m - 1)/3
Let r(q) = -q**3 - q + 1. Let g(j) = j**4 + 17*j**3 + 150*j**2 + 497*j + 628. Suppose -3 + 10 = -7*n. Let u(k) = n*g(k) + 3*r(k). Factor u(o).
-(o + 5)**4
Suppose f + 4*f = 5, 4*u - 18 = -2*f. Let s(h) be the third derivative of 1/10*h**6 - 9*h**2 + 5/8*h**u - h**3 + 0*h + 0 + 11/20*h**5. Factor s(k).
3*(k + 1)*(k + 2)*(4*k - 1)
Let w(n) be the third derivative of n**7/105 - n**6/15 - 8*n**5/15 + 4*n**4/3 + 16*n**3 + 280*n**2. Factor w(j).
2*(j - 6)*(j - 2)*(j + 2)**2
Let m = -4/191 - -323/6303. Let s(i) be the third derivative of 0*i**4 + 0 + m*i**3 + 1/330*i**6 + 0*i + 4*i**2 - 1/110*i**5. Factor s(y).
2*(y - 1)**2*(2*y + 1)/11
Let h(a) = 29*a**3 + a**2 - 3*a + 1. Let z = 4 + -3. Let p be h(z). Find m such that 16*m**2 + 8 + 4*m**3 + 12*m**2 + p + 60*m = 0.
-3, -1
Let g be (1*2/12)/(3 + 7). Let x(t) be the third derivative of g*t**5 - 1/180*t**6 - 1/18*t**3 + 0*t**4 + 0 + 0*t + 2*t**2. Solve x(u) = 0 for u.
-1/2, 1
Let q(o) be the second derivative of o**3/6 + 7*o**2/2 + 2*o. Let x be q(-3). Let -l - 2*l**2 + 7*l + 