 the first derivative of 3*f**5/25 - 6*f**4/5 + 12*f**3/5 + 132. Solve r(o) = 0.
0, 2, 6
Suppose -2*q + 1 - 9 = 0. Let n be (-4)/(-7)*(q + (-15)/(-2)). Factor -1/5*z - 1/5*z**3 + 0 + 2/5*z**n.
-z*(z - 1)**2/5
Let f(t) be the first derivative of t**2 + 4*t - 26. Let w be f(-2). Find i such that -3/7 + 3/7*i**2 + w*i = 0.
-1, 1
Let o = 199 - 86. Factor -134*d**4 + 45*d**3 + 5*d**5 + o*d**4 - 27*d**2 - 2*d**5.
3*d**2*(d - 3)**2*(d - 1)
Let l(c) be the second derivative of c**4/24 + 6*c**3 + 324*c**2 - 56*c. Solve l(j) = 0 for j.
-36
Let x(r) be the second derivative of r**5/20 - 7*r**4/8 - 21*r**2 - 24*r. Let z(c) be the first derivative of x(c). Factor z(h).
3*h*(h - 7)
Let c(b) be the third derivative of 0*b + 0 - 4*b**2 - 3/8*b**3 - 1/840*b**7 + 1/120*b**6 + 1/120*b**5 - 1/8*b**4. Find k such that c(k) = 0.
-1, 3
Let l(r) be the third derivative of r**7/525 + 7*r**6/300 - r**5/75 - r**4 - 24*r**3/5 - 443*r**2. Let l(i) = 0. What is i?
-6, -2, 3
Let o(a) be the second derivative of a**5/100 - a**4/15 + 4*a + 5. Factor o(s).
s**2*(s - 4)/5
Let a(u) be the second derivative of 0 - 2/15*u**3 + 19*u + 1/30*u**4 + 1/25*u**5 + 0*u**2 - 1/75*u**6. Factor a(w).
-2*w*(w - 2)*(w - 1)*(w + 1)/5
Suppose 4*d - 4 = -2*t, 0 = -t - 115*d + 112*d + 3. Let j(y) be the first derivative of -2/7*y**2 + t*y + 6 - 2/21*y**3. Factor j(w).
-2*w*(w + 2)/7
Let x be (12/28)/(5 - 244/28). Let s = x - -97/52. Determine a, given that s*a + 1/4*a**4 + 1/2 + 9/4*a**2 + 5/4*a**3 = 0.
-2, -1
Let m(p) be the first derivative of -2/9*p + 2/9*p**3 + 1/9*p**4 + 0*p**2 + 12. Let m(o) = 0. What is o?
-1, 1/2
Let s = -426/17 + 2708/85. Suppose 27/5*v**3 - 21/5*v**5 + 0 - 24/5*v**2 + 4/5*v + s*v**4 = 0. What is v?
-1, 0, 2/7, 1/3, 2
Let j(d) be the third derivative of d**7/13860 - d**6/1320 + d**5/330 - 7*d**4/12 - 12*d**2. Let k(c) be the second derivative of j(c). Factor k(l).
2*(l - 2)*(l - 1)/11
Factor -7*u**2 - 4*u + 4*u + 10*u**2 - u**3.
-u**2*(u - 3)
Let p = -2030 + 2033. Factor 0 + 0*f**2 - 4/3*f**4 + 4/3*f**p + 0*f.
-4*f**3*(f - 1)/3
Let w = -169 + 3381/20. Let b(x) be the third derivative of 0*x**4 + w*x**5 + 0 + 4*x**2 - 1/40*x**6 + 1/112*x**8 + 0*x**3 - 1/70*x**7 + 0*x. Solve b(f) = 0.
-1, 0, 1
Let o(a) = -a**3 + 6*a**2 - 35*a + 54. Let h be o(2). What is d in 0*d**3 - 2/3*d**2 + h + 2/3*d**4 + 1/3*d**5 - 1/3*d = 0?
-1, 0, 1
Factor -23/3*z + 22/3 + 1/3*z**2.
(z - 22)*(z - 1)/3
Let s(k) = 2*k**2 + 9 + 4*k - 4*k**2 + 7*k - k**2. Let y(j) = -3*j**2 + 10*j + 9. Let t(u) = -4*s(u) + 5*y(u). Factor t(w).
-3*(w - 3)*(w + 1)
Let z(x) = -x + 1. Let p be z(-2). Let n = -261 - -265. Factor -8*f**2 + 11*f**n + 2*f**3 + f**3 + f**p + f**4.
4*f**2*(f + 1)*(3*f - 2)
Let r(t) be the third derivative of -1/40*t**6 + 0*t**5 + 0*t + 0 + 0*t**4 - 20*t**2 + 0*t**3. Let r(a) = 0. Calculate a.
0
Let y(o) be the second derivative of -15*o + 5*o**3 + 0 + 7*o**2 + 1/10*o**5 + 3/2*o**4. Determine c so that y(c) = 0.
-7, -1
Let g(k) = -4*k + 18*k**3 - 9*k**2 + 8*k**2 + 4*k**2. Let x(v) = v**3 + v. Let b(u) = -g(u) - 2*x(u). Factor b(i).
-i*(4*i - 1)*(5*i + 2)
Let a(b) = -10*b**2 - 20*b - 8. Let y(g) = -7*g + 82 - 43 - 4*g**2 + g**2 - 42. Let o(d) = -3*a(d) + 8*y(d). Find k such that o(k) = 0.
-2/3, 0
Suppose -5*g + 10 = 5*t, -t - 4*g = 4*t - 12. Let 0*z - z**2 - t*z**2 + 4*z + z**2 = 0. Calculate z.
0, 1
Let c be 12/5*(-4 + 22/3). Let t be (c/96)/(2/8). Factor t*o**5 - 1/3*o**3 + 0 + 0*o - 1/3*o**2 + 1/3*o**4.
o**2*(o - 1)*(o + 1)**2/3
Let w be (0 - 0) + (2 - -14). What is c in c**2 + 3*c**2 + w*c - 20*c = 0?
0, 1
Let k(t) be the first derivative of -3/11*t**2 + 7/22*t**4 + 6/55*t**5 + 2/11*t**3 + 2 - 4/11*t. What is d in k(d) = 0?
-1, 2/3
Let p be (-84)/675*4/(-8). Let x = 4/25 + p. Let 0*a - x + 2/9*a**2 = 0. What is a?
-1, 1
Let d be (1 - 1)/(0 - -2). Suppose 3*c - 4*c + 23 = d. Factor -f**3 + 0*f**2 + c*f**5 + f**4 - f**2 - 22*f**5.
f**2*(f - 1)*(f + 1)**2
Let p be 342/(-399)*(-21)/9. Factor -3/2*l**2 + 1/2*l**4 + 4*l - l**3 - p.
(l - 2)*(l - 1)**2*(l + 2)/2
Let s be 2/(-20)*(14 - 38). Solve 0 - 36/5*f**2 + 9/5*f**4 + 3/5*f**3 - s*f = 0.
-2, -1/3, 0, 2
Let h = 4907/4 + -24519/20. Determine l, given that -6/5 + 14/5*l - h*l**2 = 0.
1/2, 3
Let y be 24/(5/5*11). Let r = y - 50/33. Determine o, given that 2/9*o**2 + 4/9 - r*o = 0.
1, 2
Let t(r) = -r**3 + 2*r**2 + 2*r + 7. Let g be t(3). Let i be (g - 6 - -2)*2/4. Factor -3/7*f**2 - 12/7*f**3 - 9/7*f**4 + i*f + 0.
-3*f**2*(f + 1)*(3*f + 1)/7
Let s(t) be the third derivative of -t**7/4410 + t**6/315 - t**5/70 + 3*t**4/8 + 26*t**2. Let c(w) be the second derivative of s(w). Factor c(n).
-4*(n - 3)*(n - 1)/7
Factor -59*i**2 - 75*i - 33*i**3 - 13*i**2 - 3*i**4 - 24 + 0 - 9*i**2.
-3*(i + 1)**3*(i + 8)
Let g(r) = 4*r**4 + 76*r**3 - 84*r**2 - 64*r + 74. Let l(h) = -4*h**4 - 74*h**3 + 82*h**2 + 64*h - 73. Let n(i) = 5*g(i) + 6*l(i). Factor n(v).
-4*(v - 1)**2*(v + 1)*(v + 17)
Let x(m) be the second derivative of m**5/420 - m**4/42 + m**3/14 + 11*m**2 + 32*m. Let b(q) be the first derivative of x(q). Factor b(r).
(r - 3)*(r - 1)/7
Suppose l - 4 = 2*h, 0 = l + 3*h + 4 - 8. Let c(n) be the second derivative of -1/10*n**5 + 1/6*n**l + 1/3*n**3 + 0*n**2 - 1/15*n**6 + 3*n + 0. Factor c(d).
-2*d*(d - 1)*(d + 1)**2
Suppose -p = 3*p + 20, -z - 3*p - 9 = 0. Let d be 4/z*(3 - 0). Factor 3*s**3 - 4*s**4 - d*s**4 + 3*s**4.
-3*s**3*(s - 1)
Let f be 4 + (-10)/(-45) + (-2420)/36. Let z be (-12)/14*f/27. Let 1/3*y**3 + 0 + 0*y**z + 0*y = 0. What is y?
0
Factor 2780 - d**2 - 2780 + d**4.
d**2*(d - 1)*(d + 1)
Let h(o) = -4*o - 34. Let n be h(-7). Let b be (-10)/n + (-4 - (-39)/9). Determine x so that -4/5*x**3 + 0*x**b + 0 + 8/5*x**4 + 0*x - 4/5*x**5 = 0.
0, 1
Let n(l) = -l**3 + 14*l**2 - l + 18. Let m be n(14). Factor 52 + 10*p**2 - 5*p**m + 0*p**4 - 29 - 28.
-5*(p - 1)**2*(p + 1)**2
Let u be (32 + -1)/((-3)/(-6)). Let i = -58 + u. Factor 0*a**2 - 6/11*a**5 - 4/11*a**i + 0 + 2/11*a**3 + 0*a.
-2*a**3*(a + 1)*(3*a - 1)/11
Factor 474 + 3*b**2 - 2*b**2 - 483.
(b - 3)*(b + 3)
Let n(q) be the third derivative of -q**6/3060 - q**5/170 - 3*q**4/68 + 17*q**3/3 + 22*q**2. Let i(a) be the first derivative of n(a). Factor i(p).
-2*(p + 3)**2/17
Let j(u) be the second derivative of u**5/25 - 2*u**4/15 - 2*u**3 + 72*u**2/5 - u - 76. Factor j(x).
4*(x - 3)**2*(x + 4)/5
Let a(n) be the third derivative of -10 + 0*n**3 + 1/15*n**5 - n**2 + 1/10*n**6 + 0*n + 0*n**4 + 1/42*n**7. Let a(j) = 0. Calculate j.
-2, -2/5, 0
Let r(m) be the second derivative of 5/18*m**4 - m**3 + 0 + 4/3*m**2 + 9*m. Find y such that r(y) = 0.
4/5, 1
Suppose 5*n - 14 = 2*y, 2*n - 25 + 11 = 5*y. Suppose -6 = -4*d + 6, 0 = -3*l + n*d + 6. Let 2*h**2 + 3*h**4 - 3*h**3 - 2*h**l + 0*h**4 = 0. What is h?
0, 1, 2
Let g be (-5 - -4)*(-4)/(-2). Let s(v) = -v + 1. Let z be s(g). Solve r + 3 - 9*r - 8*r**z - 5 - 8*r**2 - 4*r**2 - 2*r**4 = 0.
-1
Let k(v) = -8*v**3 - 6*v**2 - 8*v. Let f be -2 + (-7)/((-14)/6). Let q(j) = j**3 + j**2 + j. Let n(a) = f*k(a) + 10*q(a). Factor n(w).
2*w*(w + 1)**2
Suppose 0 = 10*b - 167*b + 10 - 10. Find z, given that -9/5*z + b + 3/5*z**2 = 0.
0, 3
Let o(w) be the third derivative of w**5/210 - w**4/42 - 67*w**2. Factor o(z).
2*z*(z - 2)/7
Suppose 3*y + 2*i = 11, -2 = -3*y - 5*i + 3. Find f, given that -f**y + 27*f**3 - f**4 - 2*f**4 - 29*f**3 = 0.
-2, -1, 0
Let p be (-106)/(-24) + (-28)/42. Determine l, given that -5 - p*l + 5/4*l**2 = 0.
-1, 4
Solve 2/3*h - 2/3*h**4 - 1/2*h**3 + 0 + 2/3*h**2 - 1/6*h**5 = 0 for h.
-2, -1, 0, 1
Solve 0 + 3/4*g**3 - 3/2*g**2 + 0*g = 0.
0, 2
Suppose -34*i + q + 39 = -30*i, -3*i + q = -30. Let l(w) be the first derivative of 1/5*w**5 + w - w**4 - i + 2*w**3 - 2*w**2. Find m such that l(m) = 0.
1
Let u(y) be the second derivative of -y**6/432 + 5*y**5/144 + 5*y**4/24 - 7*y**3/2 + 4*y. Let i(m) be the second derivative of u(m). Factor i(l).
-5*(l - 6)*(l + 1)/6
Let m(p) be the second derivative of -1/30*p**4 - 2/15*p**3 + 0*p**2 + 0 + 1/75*p**6 + 7*p + 1/25*p**5. Find g such that m(g) = 0.
-2, -1, 0, 1
Let i be 5 + 280/(-24) + 7. Let b(q) be the first derivative of -i*q - 6 + 1/9*q**3 + 0*q**2. Factor b(x).
(x - 1)*(x + 1)/3
Let p(n) be the first derivative of 16*n**2 + 28 - 4/3*n**3 - 28*n. Factor p(i).
-4*(i - 7)*(i - 1)
Let c be (-7 - -8)*(2 - (-15)/(-21)). Let o(d) be