 k**3 + 4*k**2 + 3*k + 1. Let s be t(-2). Factor -5*f**2 + 2*f + 2*f**3 - 2*f**4 + 4*f**s - f**2.
-2*f*(f - 1)**3
Let y(h) be the second derivative of h**5/75 - h**4/40 - 7*h**2/2 + h. Let d(m) be the first derivative of y(m). Factor d(v).
v*(4*v - 3)/5
Let n(l) be the first derivative of -l**2 - 2*l - 2. Let v be n(-2). Let 0 + v + 0 - 4*u**2 + 3*u**3 - u = 0. Calculate u.
-2/3, 1
Let c(o) be the second derivative of -2*o**5/5 - o**4/3 + 10*o**3/3 - 4*o**2 + 5*o. Suppose c(z) = 0. Calculate z.
-2, 1/2, 1
Let i(r) be the second derivative of r**4/12 - r**3/3 - 3*r**2/2 + 5*r. Let n(g) = -g**2 + g + 2. Let s(j) = 2*i(j) + 3*n(j). Let s(b) = 0. What is b?
-1, 0
Factor -1/3*t - 1/6*t**5 + 7/6*t**2 - 3/2*t**3 + 0 + 5/6*t**4.
-t*(t - 2)*(t - 1)**3/6
Let x(v) be the third derivative of v**7/840 + v**6/480 - v**5/240 - v**4/96 - 7*v**2. Factor x(j).
j*(j - 1)*(j + 1)**2/4
Let f = -10 - -15. Factor 16 - 7*p**4 + 2*p**4 - 7*p**4 - 4*p**2 + 2*p**f - 24*p + 22*p**3.
2*(p - 2)**3*(p - 1)*(p + 1)
Let f(g) be the first derivative of -44*g**3/3 - 26*g**2 - 8*g + 3. Suppose f(r) = 0. What is r?
-1, -2/11
Suppose -14 + 4 = -2*f. Suppose -5*k - b + 3 = -f, -4*b - 16 = -4*k. Factor -2/9*h**5 + 0 - 2/3*h**4 + 0*h - 2/3*h**3 - 2/9*h**k.
-2*h**2*(h + 1)**3/9
Suppose 3*u**2 - 6 - 2*u - u + 0*u**2 = 0. Calculate u.
-1, 2
Suppose 7*t - 2*t = 10. Let g = -2/83 + 184/747. Factor 2/9*l**t - 2/9*l + 2/9*l**3 - g*l**4 + 0.
-2*l*(l - 1)**2*(l + 1)/9
Let b be 0 - 4 - 2*(-18)/8. Solve -1 - 1/2*h + b*h**2 = 0 for h.
-1, 2
Let g(t) = -5*t**3 - 9*t**2 - 4*t. Let i(a) = -9*a**3 - 17*a**2 - 9*a - 1. Let n(f) = -7*g(f) + 4*i(f). Solve n(b) = 0.
-2, -1
Let i(s) = s**2 + 19*s - 65. Let u be i(3). Factor -u + 1/2*z**2 + 1/2*z.
(z - 1)*(z + 2)/2
Let g = -1001843/13 - -76996. Let w = g + 69. Suppose 2/13*q**2 - 2/13*q - w*q**4 + 2/13*q**3 + 0 = 0. Calculate q.
-1, 0, 1
Let p(h) = 2*h - 12. Let i(x) = 9*x**2 - 1. Let m be i(1). Let w be p(m). Factor w*t**3 - 3*t**3 + 6*t + 2 + 6*t**2 + 0*t**2 + t**3.
2*(t + 1)**3
Let y = 5 + -1. Factor 4*m - 5*m**2 + 2*m**2 - 4*m**3 - m**2 + y.
-4*(m - 1)*(m + 1)**2
Let n(s) = s**3 - s**2 + s + 1. Let u(b) = 2*b**3 - 2*b**2 + 4*b + 4. Suppose -m = -5 + 2. Let q = m + -2. Let h(x) = q*u(x) - 4*n(x). Factor h(f).
-2*f**2*(f - 1)
Let r(j) be the third derivative of 0 + 1/5*j**3 - j**2 + 1/150*j**5 + 1/15*j**4 + 0*j. Solve r(o) = 0 for o.
-3, -1
Let w = 294 + -292. Determine f, given that 0*f**3 + 6/7*f**5 + 0 + 0*f + 0*f**w + 2/7*f**4 = 0.
-1/3, 0
Let z(o) be the second derivative of 2*o**6/25 + 39*o**5/100 - o**4/20 - 13*o**3/10 - 9*o**2/10 + 10*o. Find j, given that z(j) = 0.
-3, -1, -1/4, 1
Let l(u) be the second derivative of u**4/48 + u**3/24 - u. What is h in l(h) = 0?
-1, 0
Let g(k) = -2*k. Let d be g(-1). Let t(j) be the first derivative of 0*j**3 - 1/2*j**4 + 0*j**d + 2/5*j**5 + 0*j - 2. Let t(i) = 0. What is i?
0, 1
Let x(q) be the second derivative of -1/6*q**4 + 2/3*q**3 + 2*q - q**2 + 0. Factor x(r).
-2*(r - 1)**2
Let h(w) be the first derivative of 5/7*w**2 - 2/7*w**3 - 2/7*w - 5/14*w**4 + 1 + 8/35*w**5. What is a in h(a) = 0?
-1, 1/4, 1
What is h in 11/2*h**2 - 3/2*h**4 + 1/2*h**5 - 1/2*h**3 + 2 - 6*h = 0?
-2, 1, 2
Factor -7303*m + 5*m**2 + 7295*m + 8 - 3*m**2.
2*(m - 2)**2
Let p be -7*6/18 + 5. Suppose -2/3*o**2 + 8/3*o - p = 0. Calculate o.
2
Let b(f) be the third derivative of -f**9/15120 - f**8/6720 + f**7/560 - f**6/360 + f**5/60 - 3*f**2. Let k(i) be the third derivative of b(i). Factor k(d).
-(d - 1)*(d + 2)*(4*d - 1)
Factor -2/7*d**2 + 0*d + 0 - 2/7*d**5 - 6/7*d**4 - 6/7*d**3.
-2*d**2*(d + 1)**3/7
Let h(u) be the second derivative of -2*u + 1/7*u**2 + 0 + 0*u**3 - 1/42*u**4. Factor h(s).
-2*(s - 1)*(s + 1)/7
Factor 4/5 + 2/5*o**2 + 6/5*o.
2*(o + 1)*(o + 2)/5
Let c be 16/15 - 4/10. Let x = 14 + -10. Factor -2/3*r + 0 + c*r**x - 2/3*r**2 + 2/3*r**3.
2*r*(r - 1)*(r + 1)**2/3
Let p be (-4)/6 - 100/(-6). Suppose 2*i - p = -2*i. Solve -i*v**2 - 2*v**3 - 1 + 0*v - 2*v**2 + 0*v + 7*v**4 + 5*v - 3*v**5 = 0 for v.
-1, 1/3, 1
Let k(g) be the second derivative of g**5/60 - g**4/18 + 12*g. Factor k(z).
z**2*(z - 2)/3
Let c = -27 - -32. Let p(g) be the third derivative of 1/240*g**6 + 0*g**c + 0*g**7 + 0 - 1/672*g**8 + g**2 + 0*g**3 + 0*g**4 + 0*g. Factor p(q).
-q**3*(q - 1)*(q + 1)/2
Factor -2*a**2 + 18 - 10 - 14 + 4*a**3 - 10*a - 2*a**3.
2*(a - 3)*(a + 1)**2
Let g be -6*(-1)/(3 + 1)*2. Let p(y) be the third derivative of -1/360*y**6 - g*y**2 - 1/18*y**3 + 0 - 1/60*y**5 + 0*y - 1/24*y**4. Factor p(u).
-(u + 1)**3/3
Suppose 0 = 2*r - 4*i - 24, -4*r - 3*i - 2*i = 4. Factor 0 + 2/7*w - 6/7*w**2 - 2/7*w**r + 6/7*w**3.
-2*w*(w - 1)**3/7
Factor -1/3*y**3 + 0 + 1/3*y + 0*y**2.
-y*(y - 1)*(y + 1)/3
Let t = -64 + 194/3. Let x = 58/3 + -18. Solve -t*y**2 + 0 + x*y = 0 for y.
0, 2
Let s(o) be the third derivative of o**6/360 - 11*o**5/180 - o**4/72 + 11*o**3/18 - 5*o**2 + 2*o. Factor s(g).
(g - 11)*(g - 1)*(g + 1)/3
Let c(z) be the third derivative of 6*z**2 + 1/240*z**5 - 1/24*z**3 - 1/480*z**6 + 0*z + 0 + 1/96*z**4. Solve c(x) = 0 for x.
-1, 1
Let y be 2*-1 + (-9)/3. Let w = y + 6. Solve -4*j**2 + w - 1 - 2*j + 0*j**3 - 2*j**3 = 0.
-1, 0
Let r be 1 - ((-26)/(-6) + -4). Determine s so that -r + s**2 - 1/3*s = 0.
-2/3, 1
Let d(j) be the third derivative of j**10/453600 - j**9/90720 + j**8/60480 - 7*j**5/60 + 4*j**2. Let c(o) be the third derivative of d(o). Factor c(q).
q**2*(q - 1)**2/3
Suppose -2*a - a = 0. Suppose -4 = -6*n + 8. Factor 0 - 4/5*q**4 + a*q + 2/5*q**n + 2/5*q**3.
-2*q**2*(q - 1)*(2*q + 1)/5
Let d be -4*(3/6 + -1). Suppose d*i = 5*i - 9. Suppose 2*v**3 - 2*v + 3*v**i - 3*v**3 = 0. Calculate v.
-1, 0, 1
Let g(i) be the first derivative of 3*i**4/28 + 5*i**3/7 + 3*i**2/2 + 9*i/7 - 7. Factor g(q).
3*(q + 1)**2*(q + 3)/7
What is j in 3*j**3 - 6*j**2 - 2/3 + 11/3*j = 0?
1/3, 2/3, 1
Let q(t) be the first derivative of -75*t**4/4 + 5*t**3/3 + 7*t**2/2 - t - 1. Determine u so that q(u) = 0.
-1/3, 1/5
Factor 0*k**2 + 1/4*k**3 - 1/4*k**4 + 0 + 0*k.
-k**3*(k - 1)/4
Suppose -600*w - 18 = -609*w. Solve 0 + 0*u + 4/3*u**w + 4/3*u**4 - 8/3*u**3 = 0 for u.
0, 1
Suppose -15*z + 2*z = 0. Solve 1/5*n**4 + z*n**3 - 2/5*n + 0 - 3/5*n**2 = 0 for n.
-1, 0, 2
Let d(c) = c. Let o(s) = 3*s**2 - 11*s - 18. Let b(p) = -4*d(p) + o(p). Find x such that b(x) = 0.
-1, 6
Let x(l) be the first derivative of l**3 - 3*l**2/2 + 1. Factor x(r).
3*r*(r - 1)
Let t = 17 + -13. Let a(s) = -s**3 - 9*s**2 - 6*s + 19. Let w be a(-8). Factor 3*y**w + 16/3*y**5 + 1/3*y**2 + 0*y + 0 + 8*y**t.
y**2*(y + 1)*(4*y + 1)**2/3
Factor -27*j**3 - 6*j**3 - 3 + 12*j**4 + 39*j**2 - 3*j**3 - 18*j + 6.
3*(j - 1)**2*(2*j - 1)**2
Solve -5/9*a**2 + 1/9*a**3 + 2/3*a + 0 = 0 for a.
0, 2, 3
Factor -72/5 - 156/5*u - 12/5*u**3 - 16*u**2.
-4*(u + 3)**2*(3*u + 2)/5
Find o, given that -2027*o - 4 + 5*o**2 - 3*o**2 + 2029*o = 0.
-2, 1
Let h(r) = 7*r**2 - 6*r - 1. Let x(s) = -s**2 + s. Let a(g) = 3*h(g) + 24*x(g). Solve a(i) = 0 for i.
1
Let c be ((-12811)/(-24))/23 + 1/8. Factor c*t**2 + 52/3*t + 8/3 - 49/3*t**3.
-(t - 2)*(7*t + 2)**2/3
Let o = 749/5 - 149. Suppose 2/5*x**5 - 4/5*x**3 - 16/5*x**2 + o*x**4 - 14/5*x - 4/5 = 0. Calculate x.
-1, 2
Let s(m) be the third derivative of 7/240*m**5 - 3*m**2 + 0 + 1/48*m**4 + 1/280*m**7 + 0*m + 1/60*m**6 + 0*m**3. Solve s(i) = 0.
-1, -2/3, 0
Let c(f) be the second derivative of -f**5/40 + f**4/24 - 25*f. Factor c(x).
-x**2*(x - 1)/2
Let y = -20/31 + 286/155. Factor -6/5*j**3 + y*j**4 + 2/5*j**2 - 2/5*j**5 + 0*j + 0.
-2*j**2*(j - 1)**3/5
Let t = 51 - 49. Let l(q) be the third derivative of 0*q**4 + 0*q**3 + 0*q + 0*q**5 + 0 + 3*q**t - 1/420*q**6. Factor l(o).
-2*o**3/7
Factor -4/3*u + 2/3*u**2 + 2/3.
2*(u - 1)**2/3
Let l(m) be the second derivative of -1/12*m**3 + 1/48*m**4 - 3/8*m**2 + 0 - 3*m. Let l(n) = 0. What is n?
-1, 3
Let r(q) be the second derivative of -q**6/15 + q**4/3 - q**2 + 2*q. Find p, given that r(p) = 0.
-1, 1
Factor 0*a**2 + 0*a**3 - 6/7*a**4 + 3/7*a**5 + 0 + 0*a.
3*a**4*(a - 2)/7
Suppose 5*g = -3*y - 14, -7 = -y + 3*g + 7. Suppose -2/7*q + 0 - 2/7*q**y = 0. Calculate q.
-1, 0
Let p = -119 + 479/4. Let 3/4*l**2 - p*l + 0 = 0. What is l?
0, 1
Let z(w) = w**2 - 1. Let k(q) = q**4 - 5*q**3 + 16*q**2 - 4*q - 8. Suppose 5*o + 46 = 166. Let j(v) = o*z(v) - 3