+ 0*u**4 - 3/8*u**2 - 3/10*u**5 + d. Factor a(m).
3*m*(m - 1)**3*(m + 1)/4
Let r be (10/(-5))/(5/20*-4). Factor 3/5*k**r - 9/5 - 6/5*k.
3*(k - 3)*(k + 1)/5
Let v(i) be the third derivative of i**6/76 + i**5/30 - 4*i**3/57 - 13*i**2. Solve v(y) = 0.
-1, -2/3, 2/5
Let b(c) be the third derivative of 0*c**4 + 1/140*c**7 + 0 + 0*c + 2*c**2 - 1/30*c**5 + 0*c**3 - 1/60*c**6. Find r such that b(r) = 0.
-2/3, 0, 2
Let g = -40 + 121/3. Let p be -1 + 4 + 56/(-21). Factor 0 + p*f**2 + g*f.
f*(f + 1)/3
Let w(y) be the third derivative of y**7/945 - y**6/135 + 2*y**5/135 + 4*y**2. Find i, given that w(i) = 0.
0, 2
Let i(b) = -b**2 + 2*b - 1. Let k be i(1). Let c be k/(8/(-2 + 6)). Factor 1/3*l + 1/3*l**2 + c.
l*(l + 1)/3
Let z(w) be the third derivative of 1/360*w**5 + 1/36*w**3 + 0 - 6*w**2 - 1/72*w**4 + 0*w. Suppose z(l) = 0. What is l?
1
Let y(j) be the second derivative of -j**4/6 - 4*j**3/3 - 4*j**2 + 9*j. Let y(w) = 0. What is w?
-2
Let o(q) be the second derivative of -q**3/6 + 4*q**2 + q. Let r be o(6). Determine f, given that -5*f**2 - 3*f + 3*f**r + f = 0.
-1, 0
Let p(n) = 4*n**2 - 5*n + 6. Let l(d) = -d**2 + d - 1. Suppose 2*m = 4*k - 30, -13 = -5*k + 2*m + 22. Let s(c) = k*l(c) + p(c). What is i in s(i) = 0?
-1, 1
Let n(j) be the first derivative of -j**7/140 - 7*j**6/240 - j**5/40 + j**4/16 - j**3 - 1. Let i(q) be the third derivative of n(q). Factor i(s).
-3*(s + 1)**2*(4*s - 1)/2
Let o = 65/138 - -2/69. Let g(d) be the first derivative of -3 + o*d**2 + 2*d - d**3. Suppose g(s) = 0. What is s?
-2/3, 1
Let h(o) = o - 1. Let y(d) = -5*d - 3. Let t(f) = -6*h(f) - y(f). Let c be t(0). Factor -3*z**2 + z + 2 - 6 - c*z - z**3 - 2*z**2.
-(z + 1)*(z + 2)**2
Suppose -2*c - 4*t = -34, c + 4*t - 22 = t. Let 1 - 2*i**2 + 5*i + c*i**2 - 3*i - 4*i**2 = 0. What is i?
-1
Suppose 2*c + 18/5*c**5 - 2/5 - 4/5*c**2 + 6/5*c**4 - 28/5*c**3 = 0. What is c?
-1, 1/3, 1
Factor 8 - s**3 - 2*s**2 + 8*s**3 + 18*s + 14*s**2 - 5*s**3.
2*(s + 1)**2*(s + 4)
Let d(v) = -v**3 + 7*v**2 - 6*v + 3. Let s be d(6). Suppose -4*f = -5*f. Let -2*m**s - 3*m + f*m + m + 4*m**2 = 0. What is m?
0, 1
Let t(f) be the second derivative of -7/9*f**3 + 0 - 1/6*f**4 - 2/3*f**2 - 4*f. Factor t(k).
-2*(k + 2)*(3*k + 1)/3
Let k = 679 + -677. Suppose 0*t**2 - 2/3*t**3 + 4/3 + k*t = 0. Calculate t.
-1, 2
Suppose -4*g = 2*g + 36. Let f be ((-18)/(-4))/(-9)*g. Find k such that 2/3*k**f + 0*k + 2/3*k**4 + 0 + 0*k**2 = 0.
-1, 0
Let f be (2 + 0)/(4/6). Factor 62*s - 6*s**f - 3*s**4 - 62*s.
-3*s**3*(s + 2)
Let l(g) = g**3 - 3*g**2 - 4*g + 3. Let b be l(4). Suppose b*j = 5 + 4. Factor 0 + 2/7*y**4 + 0*y - 2/7*y**2 - 2/7*y**j + 2/7*y**5.
2*y**2*(y - 1)*(y + 1)**2/7
Let x be (10/14)/((-10)/(-4)). Factor 2/7*l - 8/7*l**4 + x*l**5 - 8/7*l**2 + 12/7*l**3 + 0.
2*l*(l - 1)**4/7
Let b = -1/2 - -7/12. Let s(a) be the third derivative of 0*a**3 + 1/15*a**5 + 0 + 2*a**2 + 0*a + 1/60*a**6 + b*a**4. Find x such that s(x) = 0.
-1, 0
Let u = 17/24 - 3/8. Let p(g) be the first derivative of u*g**3 - 1 + g - g**2. Factor p(n).
(n - 1)**2
Let j(n) be the second derivative of 1/6*n**4 + 0 + n**2 - 5/6*n**3 + 2*n. Factor j(c).
(c - 2)*(2*c - 1)
Factor 49/4*i**4 - 56*i**3 + 4 + 78*i**2 - 32*i.
(i - 2)**2*(7*i - 2)**2/4
Let h(x) = 2*x**5 + 15*x**4 + 17*x**3 - 4*x**2 - 9*x - 1. Let y(w) = 2*w**5 + 14*w**4 + 16*w**3 - 4*w**2 - 10*w - 2. Let z(p) = 4*h(p) - 5*y(p). Factor z(d).
-2*(d - 1)*(d + 1)**3*(d + 3)
Let w(k) = -k**3 - 11*k**2 + 2. Let s be w(-11). Factor 2*i**3 + 6*i**2 - 4*i - 6*i**3 - s + 4*i.
-2*(i - 1)**2*(2*i + 1)
Suppose -5*k + y - 1 = 0, -3*y + 2*y = -1. Suppose 10 = -4*v + 3*j + 1, -5*v - j + 3 = k. Factor 0 + 2/5*o**2 + v*o + 6/5*o**3 + 2/5*o**5 + 6/5*o**4.
2*o**2*(o + 1)**3/5
Let m(d) be the second derivative of -3*d**7/14 - d**6/5 + 3*d**5/5 + d**4/2 - d**3/2 + 10*d. Let m(h) = 0. What is h?
-1, 0, 1/3, 1
Determine k, given that 3 - 2*k**2 + 1/2*k + 1/2*k**3 = 0.
-1, 2, 3
Let n(p) = p**2 - 7*p - 6. Let q be n(7). Let g be q/(-30) + 4/30. Solve 0*l - l**4 + 0*l**2 + 0 + 2/3*l**5 + g*l**3 = 0 for l.
0, 1/2, 1
Let j = 12/29 + -50/261. Let t(s) be the second derivative of 0 + 0*s**2 + 3*s + 7/18*s**4 + j*s**3. Factor t(a).
2*a*(7*a + 2)/3
Let p be (-4)/(-1) + 315/(-90). Factor -1/4*z**3 + p + 0*z**2 + 3/4*z.
-(z - 2)*(z + 1)**2/4
Let l(z) = 2*z**2 - z - 8. Let q(g) = -g**2 + g + 4. Let y(h) = -4*l(h) - 7*q(h). Factor y(x).
-(x - 1)*(x + 4)
Let g(t) = t**3 - 10*t**2 - 10*t - 8. Let j be g(11). Suppose j*o - 3*b - 7 = -2*o, 5*o - b = 9. Find f such that 0 - 1/2*f**o + 1/2*f = 0.
0, 1
Let q(f) be the first derivative of 6*f**3 - 20*f**2 + 8*f + 9. Find n, given that q(n) = 0.
2/9, 2
Let p(l) be the second derivative of l**6/105 + 3*l**5/14 + 3*l**4/2 + 7*l**3/3 - 15*l. Let p(b) = 0. Calculate b.
-7, -1, 0
Let v(o) = o + 21. Let m be v(-15). Factor -12*n**2 + 0*n**3 + 3*n**3 + 4*n - n - m + 12*n.
3*(n - 2)*(n - 1)**2
Let t(q) = -381*q**3 - 669*q**2 - 399*q - 81. Let g(v) = v**3 - v**2 - v. Let o(i) = 6*g(i) + t(i). Find j such that o(j) = 0.
-3/5
Suppose -3*b = -4*q + 31, q = 6*q + 4*b. Factor 0*p**2 - 2/5 + 2/5*p**q + 4/5*p - 4/5*p**3.
2*(p - 1)**3*(p + 1)/5
Let o(r) = -r**5 - r**3 - r**2. Let i(a) = 3*a**5 - 2*a**4 + 5*a**3 + 6*a**2. Let q(w) = i(w) + 4*o(w). Factor q(g).
-g**2*(g - 1)*(g + 1)*(g + 2)
Let f(g) be the third derivative of g**8/2688 + g**7/1680 - g**6/480 - g**5/240 + g**4/192 + g**3/48 + 3*g**2. Determine q, given that f(q) = 0.
-1, 1
Let z(w) be the first derivative of -w**4/3 - 20*w**3/9 - 16*w**2/3 - 16*w/3 - 10. Determine k so that z(k) = 0.
-2, -1
Let s(w) = 2*w**2 - 18*w + 52. Let f(n) = n**2 - 7*n + 21. Let r(h) = 12*f(h) - 5*s(h). Factor r(d).
2*(d - 1)*(d + 4)
Let c(i) be the first derivative of -2*i**5/25 - i**4/10 + 2*i**3/15 + i**2/5 + 3. Solve c(s) = 0.
-1, 0, 1
Let m(h) be the third derivative of h**7/280 - 7*h**6/160 - h**5/10 + 2*h**2 - 27*h. Factor m(u).
3*u**2*(u - 8)*(u + 1)/4
Let z = 8 + -8. Let f = 2 + z. Factor 2/3*b - 2/3*b**3 + 2/3 - 2/3*b**f.
-2*(b - 1)*(b + 1)**2/3
Let d(t) be the second derivative of -t**4/4 - 5*t**3/6 - t**2 + 6*t. Suppose d(o) = 0. What is o?
-1, -2/3
Let n(y) = -y**2 - y + 1. Let o(w) = 4*w**2 + 2*w - 7. Let g(f) = -5*n(f) - o(f). Factor g(k).
(k + 1)*(k + 2)
Let s(g) = 3*g**3 - 4*g**2 + 2*g + 2. Suppose -5*m + 4*m = 6. Let t(d) = 7*d**3 - 8*d**2 + 3*d + 5. Let f(x) = m*t(x) + 15*s(x). Suppose f(b) = 0. What is b?
0, 2
Factor -1/2*f**2 - 1/2*f + 0.
-f*(f + 1)/2
Let u(n) = 3*n**3 + n - 1. Let o be u(1). Let l = -3 + 3. Solve -w**3 - w**o + 2 + 2*w + l - 2*w**2 = 0 for w.
-1, 1
Let h(t) be the second derivative of t**5/5 - 2*t**4/3 + 2*t**3/3 + 24*t. Determine p so that h(p) = 0.
0, 1
Find w, given that -3/2*w**4 + 3*w**3 - 3/2*w + 3*w**2 - 3/2 - 3/2*w**5 = 0.
-1, 1
Let q = 435/2 + -217. Factor -y + q + 1/2*y**2.
(y - 1)**2/2
Factor -10/9*s**2 + 4/3*s + 2/9*s**3 + 0.
2*s*(s - 3)*(s - 2)/9
Let m(g) be the second derivative of -g**5/50 + g**4/30 + g**3/15 - g**2/5 + 2*g. Factor m(q).
-2*(q - 1)**2*(q + 1)/5
Let 0*n**4 + 0 - 1/4*n**3 + 0*n**2 + 1/4*n**5 + 0*n = 0. What is n?
-1, 0, 1
Let l(n) = 4*n + 7. Let w(r) = -1. Let g(p) = -l(p) - 6*w(p). Let a be g(-1). Factor -1 + a - 5*f**2 + 3*f**2.
-2*(f - 1)*(f + 1)
Let m(v) be the second derivative of 0*v**2 + 4*v + 2/63*v**7 + 0 - 2/15*v**6 + 1/15*v**5 - 4/9*v**3 + 1/3*v**4. Determine d, given that m(d) = 0.
-1, 0, 1, 2
Let x be (-52)/(-65)*((-10)/(-24))/5. Let f(k) be the third derivative of 0 + 0*k - 1/24*k**4 - 7/300*k**5 + x*k**3 - k**2. Determine r so that f(r) = 0.
-1, 2/7
Let p = 8 + -5. Let 4*h - p*h**2 - h**3 + h**2 + 2 + 2 + h**2 = 0. What is h?
-2, -1, 2
Let a be (-3)/(-18)*-2*6. Let l = 5 + a. Let -4/3*h**l - 2/3*h**2 - 2/3*h**4 + 0*h + 0 = 0. Calculate h.
-1, 0
Let c(o) be the first derivative of -o**6/8 - 3*o**5/10 + o**3/2 + 3*o**2/8 - 20. Solve c(p) = 0.
-1, 0, 1
Let l(r) = 18*r - 268. Let p be l(15). Determine f, given that -9/2*f**3 - 3/2*f + 0 - 3/2*f**4 - 9/2*f**p = 0.
-1, 0
Let y(o) be the first derivative of o**4/2 - 10*o**3/3 + 8*o**2 - 8*o - 1. Determine h, given that y(h) = 0.
1, 2
Let f = -5/12 + 37/60. What is z in -1/5*z**5 + f*z**4 + 0*z - 1/5*z**2 + 0 + 1/5*z**3 = 0?
-1, 0, 1
Suppose 0 = t + 2*f + 8, 2*f = -0*t + 5*t - 20. Determine c, given that 73 - 6*c**t - 3*c - 3*c**3 - 73 = 