)**3*(y + 1)
Let g(b) be the first derivative of -b**5/5 - 5*b**4/4 - 7*b**3/3 - 3*b**2/2 + 39. Let g(k) = 0. What is k?
-3, -1, 0
Let y(m) = -15*m**5 + 18*m**4 - 18*m**2 + 15*m. Let x(l) = -l**5 + l**4 - l**2 + l. Let b(p) = -12*x(p) + y(p). Determine s, given that b(s) = 0.
-1, 0, 1
Let m(l) be the second derivative of l**5/20 - 5*l**4/12 + 3*l**2/2 - 2*l. Let i be m(5). Suppose 4*f**4 + 0*f**i - 3*f**4 + f**3 = 0. What is f?
-1, 0
Find j such that 2/7*j**2 + 16/7 - 12/7*j = 0.
2, 4
Let c = -28 - -31. Factor 0 + 1/2*o**2 + 0*o**c + 1/4*o**5 - 1/2*o**4 - 1/4*o.
o*(o - 1)**3*(o + 1)/4
Let d(b) be the third derivative of -1/30*b**7 + 1/112*b**8 - 1/60*b**5 + b**2 + 0 + 0*b + 0*b**3 + 1/24*b**6 + 0*b**4. Suppose d(j) = 0. What is j?
0, 1/3, 1
Let s(y) be the second derivative of 2*y + 0*y**2 + 0 + 1/4*y**4 - y**3. Solve s(l) = 0 for l.
0, 2
Let z(t) = -8*t**3 - t**2 + t. Let h be z(1). Let x = h + 12. Let v - v + 2*v**3 + 4*v**x + 2*v**5 = 0. Calculate v.
-1, 0
Let q be (-5)/(-30) - 106/(-12). Let w(p) = -p + 13. Let u be w(q). Factor -3/2*a**2 + 3/2*a**3 + 0 + 1/2*a - 1/2*a**u.
-a*(a - 1)**3/2
Let q(r) = 7*r**3 + 35*r**2 + 73*r + 43. Let t(g) = g**3 - g - 1. Let d(a) = -q(a) + 2*t(a). Factor d(p).
-5*(p + 1)*(p + 3)**2
Let y(b) be the third derivative of 0 + 1/224*b**8 + 1/120*b**5 + 0*b**3 + 0*b + 1/48*b**6 + 1/60*b**7 - 3*b**2 + 0*b**4. What is w in y(w) = 0?
-1, -1/3, 0
Suppose 0*w - 5*w = 3*p, 0 = 5*p - w. Suppose 2/5*i**3 - 6/5*i + p*i**2 + 4/5 = 0. What is i?
-2, 1
Let n(f) be the third derivative of -f**5/60 - f**4/8 - 3*f**3/8 + 6*f**2. Factor n(d).
-(2*d + 3)**2/4
Let w(k) be the second derivative of -k**5/90 - k**4/36 - 7*k**2/2 - 6*k. Let p(a) be the first derivative of w(a). Factor p(o).
-2*o*(o + 1)/3
Factor 0 + 2/3*r - r**2 + 1/3*r**3.
r*(r - 2)*(r - 1)/3
Let z(k) be the first derivative of k**4/10 - 2*k**3/15 + 24. Factor z(f).
2*f**2*(f - 1)/5
Let k = 65 + -63. Let p(t) be the first derivative of 2/27*t**3 - 1/6*t**4 + 1 + 0*t**k + 0*t - 1/27*t**6 + 2/15*t**5. Find s such that p(s) = 0.
0, 1
Let f be 3 + (-6)/(1 + 1). Suppose -4*t = -f*t. Factor t*q + 2/5 - 2/5*q**2.
-2*(q - 1)*(q + 1)/5
Suppose 0 - 36/13*f**3 - 16/13*f - 14/13*f**4 - 2/13*f**5 - 40/13*f**2 = 0. What is f?
-2, -1, 0
Let u be -5 + 197/36 + 1/(-4). Factor 4/9 - 2/3*g**2 - 2/9*g**3 + u*g + 2/9*g**4.
2*(g - 2)*(g - 1)*(g + 1)**2/9
Let i(v) = -2*v - 9. Suppose -5*c - 30 = -0*c. Let d be i(c). Factor 15*f**2 + 6*f - 8*f**3 - 3*f**4 + 6*f**3 + 11*f**d - 3*f**5.
-3*f*(f - 2)*(f + 1)**3
Factor 10*w**2 + 14*w**2 + w**2 - w**2 + 48*w + 3*w**3.
3*w*(w + 4)**2
Let s(v) = 5*v**2 + 5*v. Let a(d) = d**2 + 6*d - 5. Let n(t) = -t + 1. Let u(g) = a(g) + 5*n(g). Let c(z) = 4*s(z) - 18*u(z). Find h such that c(h) = 0.
-1, 0
Let i(u) be the first derivative of u**2 + 1/330*u**5 + 0*u + 0*u**3 + 1/132*u**4 + 3. Let t(k) be the second derivative of i(k). Find d, given that t(d) = 0.
-1, 0
Let p(y) be the third derivative of -y**7/70 - y**6/20 + 3*y**5/20 + y**4 + 2*y**3 - 11*y**2. Factor p(c).
-3*(c - 2)*(c + 1)**2*(c + 2)
Factor 0*m**2 + 5*m**2 - 8*m**3 + 3*m**3.
-5*m**2*(m - 1)
Let q = -6/205 + 476/2255. What is u in 0*u**2 - 2/11*u**3 + 0 + q*u = 0?
-1, 0, 1
Let k(i) be the first derivative of 2*i**6/3 - 4*i**5 + 2*i**4 + 56*i**3/3 - 6*i**2 - 36*i + 26. Find d such that k(d) = 0.
-1, 1, 3
Let q(c) be the first derivative of -c**5/300 - c**4/40 - c**2/2 - 1. Let i(j) be the second derivative of q(j). Factor i(v).
-v*(v + 3)/5
Solve -15/4*s**3 - 25/4*s**2 + 55/4*s - 15/4 = 0.
-3, 1/3, 1
Let x(r) be the second derivative of -2*r**2 - 11/3*r**4 + 8/5*r**6 + 3*r - 7/5*r**5 + 0 + 14/3*r**3. Solve x(u) = 0 for u.
-1, 1/4, 1/3, 1
Let c(i) be the second derivative of -i**7/315 - i**6/45 - i**5/15 - i**4/9 - i**3/9 - i**2 - i. Let a(k) be the first derivative of c(k). Factor a(j).
-2*(j + 1)**4/3
Let b(n) be the second derivative of -n**5/2 + 3*n**4/2 + 2*n**3/3 - 6*n. Factor b(k).
-2*k*(k - 2)*(5*k + 1)
Let k(i) be the first derivative of -i**5/100 - i**4/20 - i**3/10 - i**2/10 + 2*i - 3. Let o(a) be the first derivative of k(a). Determine m so that o(m) = 0.
-1
Let z(d) be the first derivative of 2*d**3/3 - d**2 - 12*d - 15. Factor z(a).
2*(a - 3)*(a + 2)
Let j = 3278/7 - 467. Suppose -3/7*g**5 - 9/7*g**4 + j*g + 6/7*g**2 + 3/7 - 6/7*g**3 = 0. What is g?
-1, 1
Let o(r) be the first derivative of -5*r**6/18 - r**5/6 + 5*r**4/8 + 5*r**3/18 - 5*r**2/12 + 32. Find y such that o(y) = 0.
-1, 0, 1/2, 1
Suppose r - 4*h - 6 = -2*h, 0 = -3*r - h - 3. Suppose 19*o**2 - 16*o**2 + r*o**3 - 3*o**3 = 0. Calculate o.
0, 1
Let m = -754/9 - -84. Let k(z) be the first derivative of 0*z**2 + 1/9*z**6 + 0*z + 1/2*z**4 + 2/5*z**5 + m*z**3 - 2. Factor k(f).
2*f**2*(f + 1)**3/3
Let n(d) be the second derivative of -d**6/120 - d**5/40 + d**4/4 - d**3/3 - d. Let c(p) be the second derivative of n(p). Let c(g) = 0. Calculate g.
-2, 1
Let a(f) = -f**4 + 7*f**2 - 6*f - 4. Let o(k) = -2*k**4 + 13*k**2 - 11*k - 7. Let l(z) = -7*a(z) + 4*o(z). Factor l(y).
-y*(y - 1)**2*(y + 2)
Let -14/3*h**5 + 8*h**4 - 64/3*h**2 - 8*h + 0 + 26*h**3 = 0. Calculate h.
-2, -2/7, 0, 1, 3
Solve -22/3*m**3 - 4*m**2 + 10/3*m**5 + 0*m + 0 + 8*m**4 = 0 for m.
-3, -2/5, 0, 1
Let d(b) be the second derivative of -1/30*b**4 - 2/5*b**2 - 1/5*b**3 - 2*b + 0. Factor d(i).
-2*(i + 1)*(i + 2)/5
Let k(g) be the second derivative of 0 - 1/75*g**6 - 1/105*g**7 - g - 1/5*g**2 + 1/15*g**4 + 1/25*g**5 - 1/15*g**3. Factor k(w).
-2*(w - 1)**2*(w + 1)**3/5
Let b(v) be the third derivative of 1/180*v**6 + 0 + 1/1512*v**8 + 6*v**2 + 0*v**4 + 0*v**3 - 1/270*v**5 + 0*v - 1/315*v**7. Suppose b(y) = 0. Calculate y.
0, 1
Let d(j) = 5*j. Let p be d(0). Solve -1/2*n**2 + 0*n**3 + p*n + 1/4 + 1/4*n**4 = 0.
-1, 1
Let n(p) be the first derivative of -1/2*p**4 - 2/3*p**3 - 5 + p**2 + 2*p. Factor n(a).
-2*(a - 1)*(a + 1)**2
Suppose 0 = -2*m - 4, 5*m = 4*j - 27 + 1. Suppose 4*v = 2*v + j. Factor 2*i**4 - 3*i**4 + 6*i**3 + 0*i**2 + 4*i**v + 3*i**4.
2*i**2*(i + 1)*(i + 2)
Suppose 6 + 8 = b. Let c be 12/105 - (-4)/b. Factor 0*z**2 + 0*z - 2/5*z**3 - c*z**4 + 0.
-2*z**3*(z + 1)/5
Suppose 129 + 96 = 5*n. Let j be (n/(-6))/3 + 3. Factor 1/2*k**4 + 1 + 1/2*k**3 - j*k - 3/2*k**2.
(k - 1)**2*(k + 1)*(k + 2)/2
Let s(z) be the first derivative of -2*z**3/39 - 4*z**2/13 - 6*z/13 - 28. Factor s(w).
-2*(w + 1)*(w + 3)/13
Factor -4/11*o - 2/11*o**2 + 0.
-2*o*(o + 2)/11
Let x(a) = -a**4 + 9*a**2 - 4*a - 6. Let z(g) = -2*g**4 + 19*g**2 - 9*g - 13. Let q(d) = 13*x(d) - 6*z(d). Factor q(m).
-m*(m - 2)*(m + 1)**2
Suppose d = 5*d - 12. Find a, given that -2 - 55*a**2 + 2 + 61*a**2 - 3*a**d = 0.
0, 2
Let y be (-1)/(-3 - -2) - -2. Let 18*d - 18*d + d**y = 0. Calculate d.
0
Let j(h) be the first derivative of 2*h**5/5 - 3*h**4/2 + 4*h**3/3 + 2. Factor j(c).
2*c**2*(c - 2)*(c - 1)
Let f(n) be the second derivative of -n**7/35 + 11*n**6/75 - 4*n**5/25 - 2*n**4/15 + 4*n. Factor f(y).
-2*y**2*(y - 2)**2*(3*y + 1)/5
Let a(z) be the first derivative of 8 - 1/25*z**5 + 0*z**4 + 0*z + 0*z**2 + 1/15*z**3. Factor a(f).
-f**2*(f - 1)*(f + 1)/5
Let d(w) = 22*w**2 - 18*w + 20. Let v(k) = 9*k**2 - 7*k + 8. Let z(l) = -5*d(l) + 12*v(l). Factor z(b).
-2*(b - 2)*(b - 1)
Let u(d) be the first derivative of d**9/2016 - d**7/280 + d**5/80 - 2*d**3/3 - 4. Let f(g) be the third derivative of u(g). Factor f(q).
3*q*(q - 1)**2*(q + 1)**2/2
Let h be ((-3 + 3)/(-6))/(1 + -3). Let b(o) be the second derivative of -2*o - 2/5*o**5 - 1/5*o**6 - 1/6*o**4 + 0*o**3 + 0*o**2 + h. Factor b(p).
-2*p**2*(p + 1)*(3*p + 1)
Let b(p) be the third derivative of p**8/28 + p**7/14 - 3*p**6/40 - p**5/4 - p**4/8 + 51*p**2. Suppose b(y) = 0. What is y?
-1, -1/4, 0, 1
Let t = 54907/3 + -18502. Let u = -197 - t. Find w, given that -10/3*w**2 - 2/3*w**3 - u - 16/3*w = 0.
-2, -1
Let d = -28 + 40. Suppose 2 - d = -5*u. Factor 2/7*p + 2/7 - 4/7*p**u.
-2*(p - 1)*(2*p + 1)/7
Let o be (-48)/((15/(-20))/(4/24)). Find t such that o*t - 14*t**2 + 6*t**3 - 8/3 = 0.
2/3, 1
Let p = 53 + -53. Let u(n) be the second derivative of 0*n**2 + 0 + 0*n**3 - 1/105*n**6 + n + 1/70*n**5 + p*n**4. Let u(a) = 0. What is a?
0, 1
Let q(x) = -12*x**4 + 15*x**3 + 3. Let l(v) = -12*v**4 + 15*v**3 - v**2 + 2. Let f(n) = 3*l(n) - 2*q(n). Suppose f(j) = 0. Calculate j.
0, 1/4, 