**3 + 871*f**2 - 28*f**4.
-4*f**2*(f + 4)*(7*f + 1)
Let p(v) be the first derivative of -v**5/10 + 2*v**4/3 - v**3/3 - 6*v**2 - 18*v - 24. Let h(i) be the first derivative of p(i). Factor h(w).
-2*(w - 3)*(w - 2)*(w + 1)
Let s(i) be the third derivative of i**6/140 - 4*i**5/35 + 11*i**4/28 + 20*i**3/7 + 35*i**2. Suppose s(g) = 0. Calculate g.
-1, 4, 5
Let t(k) be the first derivative of k**4/2 - k**2 - 46. Factor t(p).
2*p*(p - 1)*(p + 1)
Determine w so that -54/5*w**2 + 8/5*w**3 + 2/5*w**4 - 32/5 + 76/5*w = 0.
-8, 1, 2
Let z(t) = 2*t**3 - 5*t**2 + 3. Let m be z(3). Let f(p) be the first derivative of 17*p**3 + m*p - 21/2*p**4 + 30*p**2 + 6. What is x in f(x) = 0?
-1/2, -2/7, 2
Let w = 1/946 + 709/473. Let 0 + 0*m - 1/3*m**2 + w*m**3 = 0. Calculate m.
0, 2/9
Let v be (-144)/120*(2/(-6) + -3). Let b(n) be the first derivative of -4/3*n**3 - 4*n**2 - v + 0*n. Let b(m) = 0. Calculate m.
-2, 0
What is n in 1/12*n**4 + 0*n - 1/6*n**2 - 1/12*n**3 + 0 = 0?
-1, 0, 2
Factor 32*h**2 + 19*h**2 + 255*h - 63 - 63*h**2.
-3*(h - 21)*(4*h - 1)
Let u(d) be the second derivative of -d**4/36 + 2*d**3 - 54*d**2 - 66*d - 2. What is k in u(k) = 0?
18
Let g be 7 - 4 - 54/3. Let a = g + 16. Let y(u) = -u**2 - u. Let s(d) = -7*d**2 - 9*d. Let w(k) = a*s(k) - 5*y(k). Determine n, given that w(n) = 0.
-2, 0
Factor -175/6*w**3 + 0 - 2*w - 49/6*w**4 - 44/3*w**2.
-w*(w + 3)*(7*w + 2)**2/6
Suppose -4*g = 3*j - 12, -2*j + 4*g - 12 = -0*j. Suppose 4*b + 2 = -4*o - b, -b - 2 = j. Factor 7*t**2 + 3*t**2 + 3*t**4 + 7*t**o + 15*t**3 + 12*t + 7*t**2.
3*t*(t + 1)*(t + 2)**2
Let l(q) = 3*q**5 + 8*q**4 + 4*q**3 - 6*q**2 - 7*q. Let f(v) = -4*v**5 - 9*v**4 - 4*v**3 + 6*v**2 + 8*v. Let w(n) = 2*f(n) + 3*l(n). Factor w(i).
i*(i - 1)*(i + 1)**2*(i + 5)
Let o(n) be the third derivative of 0*n**3 + 25/6*n**4 + 1/30*n**6 + 16*n**2 + 0 - 2/3*n**5 + 0*n. Factor o(q).
4*q*(q - 5)**2
Factor -10/7*u**2 + 16/7 - 4/7*u - 2/7*u**3.
-2*(u - 1)*(u + 2)*(u + 4)/7
Let c(h) be the third derivative of -h**8/168 + 11*h**7/105 + h**6/20 - 7*h**5/6 + 11*h**4/6 - 318*h**2. What is o in c(o) = 0?
-2, 0, 1, 11
Let h(p) = -4 + 1 - 3 + 3. Let b(g) = g**2 - 6. Let a(j) = -3*b(j) + 5*h(j). Factor a(u).
-3*(u - 1)*(u + 1)
Suppose 0 = -3*u + 6. Factor -i**3 - 4*i**u - 16*i + 16*i.
-i**2*(i + 4)
Factor 5*u**4 + 56 - 200*u + 5*u**5 + 235*u**2 - 72 + 76 - 105*u**3.
5*(u - 2)*(u - 1)**3*(u + 6)
Let w be (34/(-119) + (-16)/42)*-3. Let -7 - 3*n**2 + w*n**2 + 97*n + 5 - 100*n = 0. Calculate n.
-2, -1
Determine w so that 4 - 1/3*w**2 + 4/3*w = 0.
-2, 6
Let c(m) be the third derivative of m**6/90 - 2*m**5/3 + 3*m**4/2 + 116*m**3/9 + 137*m**2. Factor c(q).
4*(q - 29)*(q - 2)*(q + 1)/3
Let h(v) be the second derivative of 1/5*v**3 + 0 - 3*v + 1/30*v**4 + 0*v**2. Factor h(z).
2*z*(z + 3)/5
Let b be 0/(-3 + 0) + 3. Suppose 102 = 5*q - 2*p + b*p, -27 = -2*q - 5*p. Let 4*l**4 + 0*l**3 - 9*l**2 - 12*l**3 - l**4 + q*l**2 = 0. What is l?
0, 2
Let c(k) be the second derivative of -1/8*k**2 - 13*k + 1/12*k**3 - 1/48*k**4 + 0. Find y, given that c(y) = 0.
1
What is m in -5*m**5 - 16*m**2 - 19*m**2 + 838*m - 45*m**3 + 844*m - 25*m**4 - 1692*m = 0?
-2, -1, 0
Suppose -7*t + 711 = 207. Let z be (4/10)/(t/20 - 3). Factor -8/3*x - 2 - z*x**2.
-2*(x + 1)*(x + 3)/3
Let f(p) = -p**3 - 6*p**2 + 6*p - 4. Let c be f(-7). Factor -2 - 10*v**4 - 13*v**2 + 4*v**2 - 6*v**4 - 40*v**c + 13*v.
-(v + 1)*(v + 2)*(4*v - 1)**2
Let k = 20 - 15. Suppose 0 = 5*a + 3*j - 6, a + 0*a - k*j = 18. Factor 4 - 3*u - 4*u - 1 + a*u**2 + u.
3*(u - 1)**2
Suppose -5*r + 115 = 55. Find o such that 16*o**2 + 4*o + r*o**3 - 84 + 84 = 0.
-1, -1/3, 0
Let v(w) be the first derivative of w**4/40 - 10*w**3/3 + 197*w**2/20 - 49*w/5 + 890. Factor v(h).
(h - 98)*(h - 1)**2/10
Let b be (-1197)/(-315) - 3/(-15). Factor 8/19*l**3 + 0 - 6/19*l**2 + 0*l - 2/19*l**b.
-2*l**2*(l - 3)*(l - 1)/19
Let y = -27 + 29. Factor 4*p**4 - 4*p**3 + 3*p**y - 2*p - 2*p**2 + 6*p - 5*p**2.
4*p*(p - 1)**2*(p + 1)
Let u(q) be the first derivative of 4*q**3/3 + 14*q**2 + 923. Suppose u(w) = 0. What is w?
-7, 0
Let j(p) = 669*p**3 + 5 - 662*p**3 - 7*p**2 + p**2 - p. Let g(s) = 8*s**3 - 6*s**2 - 2*s + 6. Let o(l) = -5*g(l) + 6*j(l). Factor o(r).
2*r*(r - 2)*(r - 1)
Let i be -40 + 31 + 7 + 0 + 2. Let i - 2/3*g + 2/3*g**2 = 0. What is g?
0, 1
Let y(u) be the third derivative of 2*u**7/1365 + 11*u**6/780 + 7*u**5/130 + 4*u**4/39 + 4*u**3/39 + 3*u**2 - 2. Suppose y(i) = 0. Calculate i.
-2, -1, -1/2
Let m be 1/(-2) - (-41)/205*15. Factor 15/2*y**3 + m*y**4 + 0 - 5/2*y**5 + 5*y - 25/2*y**2.
-5*y*(y - 1)**3*(y + 2)/2
Let i(c) be the first derivative of -c**4/11 - 34*c**3/33 - 32*c**2/11 - 24*c/11 + 90. Solve i(b) = 0 for b.
-6, -2, -1/2
Let n(v) = -v**2 - 32*v - 105. Let d be n(-28). Let m(k) be the first derivative of -3/2*k**2 + 0*k + 12/5*k**5 - 27/4*k**4 - d + 6*k**3. Factor m(a).
3*a*(a - 1)**2*(4*a - 1)
Let f(l) be the first derivative of 9*l**5/5 - 24*l**4 + 41*l**3 + 60*l**2 - 108*l + 157. Determine j so that f(j) = 0.
-1, 2/3, 2, 9
Suppose 0 = -4*n - d + 399, 0 = -n - 0*d + 4*d + 87. Factor -b**4 - 35*b**5 - 65*b**2 - n*b**3 - 10*b - 114*b**4 - 36*b**3.
-5*b*(b + 1)**3*(7*b + 2)
Let d = 1218 - 1218. Find o such that -6/5*o**4 + 0 - 3/5*o**3 - 3/5*o**5 + d*o + 0*o**2 = 0.
-1, 0
Let g(j) be the second derivative of -j**7/210 - j**6/150 + 3*j**5/50 - j**4/30 - j**3/6 + 3*j**2/10 - 64*j. Solve g(l) = 0.
-3, -1, 1
Let j = -1164503/35 + 33277. Let o = j + -26/5. Determine d so that 6/7*d - o - 4/7*d**2 = 0.
1/2, 1
Let y(p) be the third derivative of -3*p**4/8 + p**3/6 - 5*p**2. Let b be y(-1). Suppose -t**4 - 10 - t**4 + b = 0. What is t?
0
Suppose 0 = 4*m + 5*i - 40, m + 2 = 4*i - 9. Factor m*k - 10*k**3 - 4*k**2 - k - 5*k + 11*k**2.
-k*(2*k - 1)*(5*k - 1)
Let a(b) be the third derivative of b**7/210 + b**6/8 + 21*b**5/20 + 49*b**4/24 + 6*b**2 + b. Let a(q) = 0. What is q?
-7, -1, 0
Suppose 9*t - 4*o + 10 = 6*t, -7*t + 10 = -o. Determine x so that -2/3 - t*x**2 + 2/3*x**3 + 2*x = 0.
1
Let f(t) be the first derivative of 4*t**3 + 2/5*t**5 + 7 + 2*t - 2*t**4 - 4*t**2. Factor f(m).
2*(m - 1)**4
Let s = 29 - 26. Factor -6*m**2 + 2*m**2 - 3*m**s - m**3.
-4*m**2*(m + 1)
Suppose 16*r - 17 = -r. Let k be (2 - r)*(-4)/(-8). Factor -k + 1/4*x + 1/4*x**2.
(x - 1)*(x + 2)/4
Let s be -4 - ((-11)/3)/((-34)/(-51)). Let z(j) be the first derivative of -s*j**2 + 25/3*j**3 + 5 - 2*j**6 + 15/4*j**4 - 2*j - 23/5*j**5. Solve z(t) = 0.
-2, -1, -1/4, 1/3, 1
Let g(y) be the second derivative of y**4/6 + 90*y**3 + 18225*y**2 + y - 80. Suppose g(n) = 0. Calculate n.
-135
Let q(k) be the third derivative of -k**5/140 + 5*k**4/56 + 18*k**3/7 + k**2 - 41*k. Factor q(o).
-3*(o - 9)*(o + 4)/7
Let l(g) be the second derivative of g**7/21 + 4*g**6/5 + 7*g**5/2 - 2*g**4 - 12*g**3 - 11*g - 1. Factor l(s).
2*s*(s - 1)*(s + 1)*(s + 6)**2
Suppose -3*d = 2*b - 12, 15*b - 12*b = -4*d + 17. Suppose -d*r = 0, r + r - 10 = -5*q. Factor 0 + 1/3*k**q + 0*k + 1/3*k**4 + 2/3*k**3.
k**2*(k + 1)**2/3
Let t(b) be the second derivative of -3*b**5/25 + 40*b**4/3 - 2266*b**3/5 + 4356*b**2/5 - 38*b + 1. Factor t(d).
-4*(d - 33)**2*(3*d - 2)/5
Let p(x) be the first derivative of 2*x**5/5 - 21*x**4 + 294*x**3 + 10. Factor p(i).
2*i**2*(i - 21)**2
Let d(r) be the second derivative of -r**6/180 - 3*r**5/40 - 7*r**4/72 + r**3/4 + 2*r**2/3 - 40*r. Factor d(p).
-(p - 1)*(p + 1)**2*(p + 8)/6
Let l(k) be the first derivative of 0*k - 2/3*k**3 + 3/10*k**5 - 35 - 1/2*k**4 + 0*k**2. Determine s so that l(s) = 0.
-2/3, 0, 2
Factor -1/2*m**2 - 1/2*m**3 + 1/2*m**4 + 0 + 1/2*m.
m*(m - 1)**2*(m + 1)/2
Let k(d) = -4*d**2 - 4*d - 8. Let s(y) = -1. Suppose 4*n - n + 3 = 0. Let p(u) = n*k(u) + 8*s(u). Factor p(g).
4*g*(g + 1)
Factor 144/7 + 24*s + 7*s**2.
(7*s + 12)**2/7
Let x(n) be the second derivative of -3*n**5/10 - 4*n**4/3 - 7*n**3/3 - 2*n**2 + 24*n - 1. Factor x(w).
-2*(w + 1)**2*(3*w + 2)
Factor -3/5*w**3 + 0 - 12/5*w**2 + 3*w.
-3*w*(w - 1)*(w + 5)/5
Let a be 0 - 1/((-12)/86) - 47/(-141). Let -9/2*i**3 + 9*i**2 - a*i + 9/4 + 3/4*i**4 = 0. What is i?
1, 3
Let k(w) = -w**4 + w. Let o(d) = 4*d**5 - 15*d**4 - d**3 + 7*d**2 + 5*d. Let q(x) = -40*k(x) + 5*o(x). Find b, given that q(b) = 0.
-1, 0, 3/4, 1
Let k(o) = o + 5. Let a be k(-4). Suppose z + a = 6. Factor 5 + 5*x**3 - z*x + 4*