*k(m). Factor b(f).
4*(f - 5)*(f + 1)*(3*f - 1)**2
Let g(z) be the first derivative of z**6/660 + z**5/330 - z**4/132 - z**3/33 + 6*z**2 + 13. Let v(c) be the second derivative of g(c). Factor v(m).
2*(m - 1)*(m + 1)**2/11
Factor -2/3*h**3 - 298/3 - 98*h**2 + 198*h.
-2*(h - 1)**2*(h + 149)/3
Let b(n) be the first derivative of -n**5/20 - n**4/16 + n**3/4 + n**2/8 - n/2 + 115. Suppose b(w) = 0. What is w?
-2, -1, 1
Solve -23*a**3 - 62*a**2 - 58*a - 24 + 182*a - 7*a**3 - 17*a**3 + 9*a**4 = 0 for a.
-2, 2/9, 1, 6
Suppose -2*v = -4*j + 2, 0 = -4*j - j + 3*v. Suppose -10*r - 14 = -17*r. Suppose j*b**2 + 4*b**r + 5 - 2*b**2 + 10*b = 0. What is b?
-1
Let n(q) be the first derivative of -3*q**4/4 - 55*q**3 - 2349*q**2/2 - 2187*q + 243. Factor n(k).
-3*(k + 1)*(k + 27)**2
Let i(m) be the third derivative of m**7/525 - m**6/60 + m**2 - 46. Factor i(f).
2*f**3*(f - 5)/5
Let x(u) be the second derivative of 3*u**7/112 + u**6/8 - 3*u**5/80 - u**4/2 - u**3/16 + 9*u**2/8 + 694*u. Solve x(v) = 0.
-3, -1, 2/3, 1
Let c be (12/9)/(2/3). Let o be c/3*(-1 - -4). What is b in 8*b**o + b**3 - 8*b**2 + 3*b**3 - 8*b**2 + 4*b = 0?
0, 1
Suppose 2*z = -1 + 5, -2*j = 5*z + 4. Let q(n) = -n**3 - 6*n**2 + 6*n. Let r be q(j). Factor -5*l**4 + r*l**4 - l + 2 + 2*l**3 + 0*l**2 - 4*l**2 - l**5.
-(l - 2)*(l - 1)**2*(l + 1)**2
Suppose -10 = 16*g - 10. Let v(p) be the first derivative of -1/8*p**4 - p**3 + 5 - p**2 + g*p + 3/20*p**5 + 1/24*p**6. Determine l, given that v(l) = 0.
-2, -1, 0, 2
Suppose -3*s - 1 + 13 = 0. Let b be (-22)/s + 4 + 2. Suppose -1/2*x**2 + x - b = 0. Calculate x.
1
Let h(s) be the first derivative of -1/4*s**3 - 3/4*s - 3/4*s**2 - 10. Determine y, given that h(y) = 0.
-1
Let p(q) = -2*q**2 - 18*q + 24. Let n(l) = -5*l**2 - 34*l + 48. Let g(t) = 4*n(t) - 9*p(t). Factor g(v).
-2*(v - 12)*(v - 1)
Suppose -34*n - 7*n = -109*n + 35*n. Suppose -1/2*c**4 - 3/2*c**2 + 0*c - 5/2*c**3 + 1/2*c**5 + n = 0. What is c?
-1, 0, 3
Let -25 - 92*y - 7 - 139*y + 151*y**2 + 121*y - 9*y**3 = 0. Calculate y.
-2/9, 1, 16
Let m(z) be the first derivative of -5*z**4 - 44*z**3 - 32*z**2 + 48*z + 46. Factor m(w).
-4*(w + 1)*(w + 6)*(5*w - 2)
Let x = 13 + -7. Suppose 0 = 4*l - x*l + 8. Solve 0*y**2 + 5*y**5 - 2*y**2 + 2*y**l - y**3 + 0*y**3 - 4*y**3 = 0.
-1, -2/5, 0, 1
Suppose 8*y = 4*y + 4, b - y - 1 = 0. Let -12*z**2 + 8 + 3*z + 4*z**4 + 2*z**3 + b*z**3 - 7*z = 0. What is z?
-2, -1, 1
Let y(f) be the third derivative of 21*f**2 + 1/40*f**6 + 0*f + 3/10*f**5 + 0 + 3/2*f**4 + 4*f**3. Factor y(j).
3*(j + 2)**3
Determine f, given that -8*f**2 - 20*f**2 + 30*f - 3*f**3 + 19*f**2 = 0.
-5, 0, 2
Let x(w) be the second derivative of w**7/10080 - w**6/480 + 3*w**5/160 + 7*w**4/6 - w. Let f(l) be the third derivative of x(l). Factor f(o).
(o - 3)**2/4
Let f(p) be the third derivative of -19/8*p**4 + 3*p**3 + 37/120*p**6 + 0 - 1/30*p**7 - 31/60*p**5 + 17*p**2 + 0*p. What is n in f(n) = 0?
-1, 2/7, 3
Let s(b) = -14*b**2 - 27*b - 5. Let q(v) = 9*v**2 + 17*v + 3. Let l(n) = 8*q(n) + 5*s(n). Factor l(h).
(h + 1)*(2*h - 1)
Let j(b) be the third derivative of -b**8/448 - b**7/84 - b**6/160 + 3*b**2 + 13. Factor j(s).
-s**3*(s + 3)*(3*s + 1)/4
Suppose -3*r = s + 3*s - 2031, 3*r + 2*s - 2031 = 0. Let y = r - 4721/7. Suppose -4/7 - 8/7*m**2 - y*m = 0. Calculate m.
-2, -1/4
Let f = -1143/4 + 1145/4. Factor -f*n + 1/2*n**3 + 1/2 - 1/2*n**2.
(n - 1)**2*(n + 1)/2
Let b(q) be the third derivative of -q**7/945 - 7*q**6/540 + 4*q**5/27 - 11*q**4/27 + 96*q**2. Determine i so that b(i) = 0.
-11, 0, 2
Let b(t) be the first derivative of t**7/840 - t**6/480 - t**5/240 + t**4/96 - 17*t**2 + 28. Let w(r) be the second derivative of b(r). Factor w(s).
s*(s - 1)**2*(s + 1)/4
Let f(n) = n**2 - 2*n - 1. Let v(x) = -x**2 + 18*x - 39. Let w(s) = 3*f(s) - v(s). Solve w(a) = 0.
3
Let f(u) be the third derivative of 9*u**7/245 - 12*u**6/35 + 26*u**5/35 - 4*u**4/7 - 4*u**2 - 5. Factor f(c).
6*c*(c - 4)*(3*c - 2)**2/7
Let d(g) be the third derivative of -g**11/249480 - g**10/113400 + g**9/22680 - g**5/4 - 9*g**2. Let b(t) be the third derivative of d(t). Factor b(m).
-4*m**3*(m - 1)*(m + 2)/3
Suppose -4*r = -3*l - 14, -r - 2*r - 3*l + 21 = 0. Suppose 5*m**2 - 9*m - r*m**2 + 4*m**2 - 7*m = 0. What is m?
0, 4
Let z(v) be the third derivative of 0*v - 2/63*v**7 + 7/90*v**6 + 0*v**3 + 0 - 2/9*v**4 + 8/45*v**5 - 24*v**2. Let z(a) = 0. Calculate a.
-1, 0, 2/5, 2
Let n(j) = 42*j + 84. Let d be n(-2). Let b(s) be the third derivative of 10*s**2 + 0 + d*s + 2/15*s**3 - 1/150*s**5 + 1/60*s**4. Let b(p) = 0. What is p?
-1, 2
Suppose -14 = -d + 5*a, 4*a - 3*a = d - 6. Let -2/3*p**2 - 2/9*p**3 + 2/9*p**5 + 0*p + 2/3*p**d + 0 = 0. Calculate p.
-3, -1, 0, 1
Factor 0*m**2 + 0 - 26/3*m**3 + 0*m - 2/3*m**4.
-2*m**3*(m + 13)/3
Solve 2/11*k**2 - 4 + 18/11*k = 0 for k.
-11, 2
Let g(f) be the third derivative of f**7/2520 - f**6/72 - 37*f**4/24 + 12*f**2 - 2*f. Let p(r) be the second derivative of g(r). Solve p(x) = 0.
0, 10
Let r(u) be the first derivative of -2*u**5/35 + u**4/14 + 2*u**3/21 - u**2/7 - 50. Factor r(l).
-2*l*(l - 1)**2*(l + 1)/7
Factor -244/3 + 2/3*h**3 - 248/3*h**2 + 490/3*h.
2*(h - 122)*(h - 1)**2/3
Suppose -4*i = -8*j - 24, j + 6 = -0*j + i. Find g, given that -2/3*g**4 + 2/9*g**5 + 2/9*g**3 + 2/3*g**2 + j - 4/9*g = 0.
-1, 0, 1, 2
Let i(m) be the first derivative of 3/2*m**2 - 31 - 6*m + m**3. Factor i(v).
3*(v - 1)*(v + 2)
Let t(f) be the third derivative of f**7/280 - 17*f**6/360 + 3*f**5/40 + 5*f**4/24 - 17*f**3/6 - 34*f**2. Let d(y) be the first derivative of t(y). Factor d(c).
(c - 5)*(c - 1)*(3*c + 1)
Let b be 1276/240 + (-139)/(-1668). Solve -b*f**2 - 3/5*f**4 + 3*f**3 + 21/5*f - 6/5 = 0.
1, 2
Let q = 3172 - 12687/4. Let c = -1 + 1. Factor -3/4*j**2 + 1/4*j - q*j**4 + c + 3/4*j**3.
-j*(j - 1)**3/4
Let v(f) be the second derivative of -f**6/75 + f**4/15 - f**2/5 - 87*f. What is p in v(p) = 0?
-1, 1
Let u = 28 - 30. Let b be -1 - 10*u - -1. Factor -5*f - 3*f**3 - 20*f**3 + 8*f**3 - b*f**2.
-5*f*(f + 1)*(3*f + 1)
Let k = 37 + -123. Let v = 86 + k. Suppose 1/4*u**2 + v + 5/4*u**3 + 0*u = 0. Calculate u.
-1/5, 0
Let p(x) be the first derivative of 3*x**5/5 - 10*x**4 - 28*x**3/3 + 197. Solve p(q) = 0.
-2/3, 0, 14
Suppose g - 2*i - 2*i = 6, 4*g - 4*i = 12. Factor -36*l**g + 10 - 39*l**2 + 70*l**2 - 5*l.
-5*(l - 1)*(l + 2)
Let j be (-104)/(-18) + -3 + 4/18. Let c = 7/16 - 17/112. Factor 2/7*u**4 - 2/7*u**j + 2/7*u + 0 - c*u**2.
2*u*(u - 1)**2*(u + 1)/7
Let m be (112/3)/(12/18). Let u be (-28)/112 + 2*11/m. Factor 2/7*a + 0 - u*a**2 - 1/7*a**3.
-a*(a - 1)*(a + 2)/7
Let i(y) = -y**4 + 24*y**3 + 56*y**2 + 31*y. Let s(z) = z**4 - 25*z**3 - 57*z**2 - 31*z. Let r(v) = 4*i(v) + 5*s(v). Find a, given that r(a) = 0.
-1, 0, 31
Let u(s) be the first derivative of -3*s**4/28 - s**3/7 + 9*s**2/7 - 71. Factor u(o).
-3*o*(o - 2)*(o + 3)/7
Let m(i) be the third derivative of i**6/240 - i**5/20 - 5*i**4/16 - 2*i**3/3 + 434*i**2. Determine f so that m(f) = 0.
-1, 8
Let v(m) = -4*m**4 - 133*m**2 - 10 + 128*m**2 + 1. Let k(o) = -o**4 - o**2 - 2. Let q(b) = 9*k(b) - 2*v(b). Factor q(f).
-f**2*(f - 1)*(f + 1)
Find x, given that 7688/5 + 2/5*x**2 + 248/5*x = 0.
-62
Let d = 1/553 + 2203/4977. Let c(f) be the second derivative of 1/18*f**4 - d*f**3 + 0 - 10*f + f**2. Factor c(k).
2*(k - 3)*(k - 1)/3
Let u(a) be the third derivative of a**6/24 + 4*a**5/3 + 35*a**4/6 - 146*a**2 + 1. Determine c so that u(c) = 0.
-14, -2, 0
Let k be (1 - 3) + 7 + (1 - 2). Factor -9*q**2 - 6*q**k + 9*q**4 + 6*q**3 + 12*q**2.
3*q**2*(q + 1)**2
Let k(h) be the first derivative of 3 + 0*h**2 - h**3 - 8*h**2 + 8*h**2. Factor k(y).
-3*y**2
Let g(v) be the first derivative of -4*v**5/15 + 8*v**3/3 + 16*v**2/3 + 4*v + 3. Solve g(m) = 0.
-1, 3
Let o(l) = 17*l**2 - 2*l - 14. Let g(n) = 11*n**2 - n - 9. Let y(w) = 8*g(w) - 5*o(w). Let j be y(-2). Factor 3 + 1 + j*m - 2*m**2 - 4*m.
-2*(m - 2)*(m + 1)
Let y(w) be the first derivative of w**6/15 - 12*w**5/25 + 6*w**4/5 - 16*w**3/15 + 155. Factor y(d).
2*d**2*(d - 2)**3/5
Suppose 5*p - 5*g - 255 = 0, -4*g + 15 + 181 = 4*p. Let v = 52 - p. Suppose 1/2 - 1/4*k**v + 1/4*k = 0. Calculate k.
-1, 2
Solve 2/5*s**5 + 0 + 64/5*s + 22/5*s**4 + 128/5*s**2 + 84/5*s**3 = 0 for s.
-4, -2, -1, 0
Suppose 59 + 20*g - 9 + 45*g + 171*g**2 - 352*g**2 + 2