. Let b = 9 + -17/2. Factor 0*g + 0 - 3/2*g**4 - b*g**2 + p*g**5 + 3/2*g**3.
g**2*(g - 1)**3/2
Let d(q) = 3*q + 4. Let p be d(-5). Let w = p + 13. Factor 0*r**2 - 9 + 6*r - r**w + 0*r**2.
-(r - 3)**2
Let s(d) be the second derivative of d**5/360 - d**4/48 + d**3/18 + 21*d**2/2 + 4*d. Let j(h) be the first derivative of s(h). Factor j(t).
(t - 2)*(t - 1)/6
Let a(f) = -2*f - 24. Let o be a(-12). Let t(y) be the second derivative of -7*y - 13/16*y**4 + 3/4*y**2 - 11/8*y**3 + o. Suppose t(w) = 0. Calculate w.
-1, 2/13
Let s = -463679/180 + 2576. Let m(g) be the third derivative of -s*g**5 + 1/360*g**6 + 0*g + 2*g**2 + 0 + 0*g**3 - 1/36*g**4. Find c, given that m(c) = 0.
-1, 0, 2
Determine r, given that -38/3*r**3 + 2*r + 0 - 10/3*r**2 - 22/3*r**4 = 0.
-1, 0, 3/11
Let q(a) = -17*a**2 - 24*a + 8. Let g be (-2)/(-4) - 20/8. Let j(m) = 10 - 16*m**2 - 24*m + 0 - 5 + 3. Let i(c) = g*q(c) + 3*j(c). Factor i(t).
-2*(t + 2)*(7*t - 2)
Let j(f) be the third derivative of f**6/40 - 3*f**5/20 + f**4/4 + f**2 - 9*f. Factor j(t).
3*t*(t - 2)*(t - 1)
Suppose 12 = 8*w - 2*w. Let h(d) = 6*d - 10. Let p be h(w). Factor -2*i**4 + 3/2*i**3 - 2*i + 0 + 1/2*i**5 + p*i**2.
i*(i - 2)**2*(i - 1)*(i + 1)/2
Let s(n) be the second derivative of -n**8/2520 + n**6/180 - n**5/90 - 7*n**3/3 - 44*n. Let f(r) be the second derivative of s(r). Factor f(u).
-2*u*(u - 1)**2*(u + 2)/3
Suppose 4*a - 8 = 4*v - 4, 3*v - 5*a = -5. Let w(i) be the third derivative of 0*i + 4/3*i**3 + v + 9*i**2 + 1/30*i**5 + 5/12*i**4. Find z such that w(z) = 0.
-4, -1
Let d(u) be the first derivative of u**4/66 - 2*u**3/11 + 9*u**2/11 + 11*u - 1. Let f(c) be the first derivative of d(c). Let f(y) = 0. Calculate y.
3
Solve -31*n**5 - 18*n**4 + 6*n**3 - 35*n**5 - 81*n + 108*n**2 + 69*n**5 - 162 = 0.
-2, -1, 3
Let k = -156 + 156. Let t(h) be the second derivative of 7*h + 1/48*h**4 + 0 + k*h**3 + 0*h**2. Suppose t(y) = 0. What is y?
0
Suppose 0 = 51*t - 52*t + 120. Let a = -116 + t. What is z in 10/3*z**2 - 26/3*z - a = 0?
-2/5, 3
Let t = -472 - -476. Factor -4/3*g**3 + 4/3*g - 4/3*g**2 + 0 + 4/3*g**t.
4*g*(g - 1)**2*(g + 1)/3
Let j(x) = 3*x**2 - 11*x - 2. Let u be j(4). Solve 247*d**3 + 40*d - 113*d**3 - 114*d**3 + 108*d**u = 0 for d.
-5, -2/5, 0
Let c be ((-4)/3)/(140/(-29760)). Let p = 284 - c. Factor -2/7*o**5 + p*o**2 - 2/7 - 2/7*o - 2/7*o**4 + 4/7*o**3.
-2*(o - 1)**2*(o + 1)**3/7
Let r be 2 + 1 - (-1)/((-1)/(-9)). Let q be (8/r + -4)*(-36)/10. What is u in 24 + 21/4*u**5 - q*u**2 + 84*u - 42*u**3 + 3/2*u**4 = 0?
-2, -2/7, 2
Let p(d) be the third derivative of -1/120*d**6 + 0*d**3 + 0*d - 26*d**2 + 0 + 1/20*d**5 - 1/12*d**4. Factor p(z).
-z*(z - 2)*(z - 1)
Let s(q) = 3*q - 34. Let c be s(8). Let w be 1 - (-27)/(-18)*4/c. Factor 2/5 - w*h**3 + 2/5*h**4 - 8/5*h + 12/5*h**2.
2*(h - 1)**4/5
Let m(z) be the third derivative of z**10/226800 - z**9/22680 + z**8/7560 - 17*z**5/30 + 25*z**2. Let b(d) be the third derivative of m(d). Factor b(w).
2*w**2*(w - 2)**2/3
Let y(x) be the third derivative of x**8/56 - 3*x**7/70 - 23*x**6/40 + 3*x**5/5 + x**2 - 26*x. What is m in y(m) = 0?
-3, 0, 1/2, 4
Suppose -112 - 92 = -2*b. Let r = b + -407/4. Find d such that 0*d + 1/4*d**4 - 1/4*d**3 + r*d**5 + 0 - 1/4*d**2 = 0.
-1, 0, 1
Let o be (15*(-10)/(-600))/((-1)/(-8)). Let 2*s - o*s**3 - 6/5*s**2 - 2/5*s**4 + 8/5 = 0. Calculate s.
-4, -1, 1
Suppose 0 = 10*x - 184 - 156. Let b = x - 32. Determine t, given that -3*t**3 + 3*t - 5/4*t**4 + 1/4*t**b + 1 = 0.
-2, -1, -2/5, 1
Let x(w) be the third derivative of -w**6/480 + w**5/16 - 9*w**4/32 + 13*w**3/24 + w**2 + 27. Factor x(h).
-(h - 13)*(h - 1)**2/4
Let t be ((-6)/(-24))/((-7)/(-8)). Let a = -13282/7 + 1898. What is r in 4/7*r**2 - t*r**5 + 2/7*r + 0*r**3 + 0 - a*r**4 = 0?
-1, 0, 1
Suppose 0 = -3*k + 4*g - 2*g + 16, 5*k - 27 = 3*g. Let s be (-28)/(-12) - k/(-9). Let -4*x**s - 3*x + 3*x**2 + 6*x - 3 + 5*x**3 - 4*x**3 = 0. What is x?
-1, 1
Let r(j) be the first derivative of j**8/336 + j**7/70 + j**6/40 + j**5/60 - 7*j**2/2 + 11. Let q(t) be the second derivative of r(t). Factor q(c).
c**2*(c + 1)**3
Let p be (1757/35)/((-1)/(-5)). Suppose p = 8*a - 7*a. Solve 619*n**4 - 5*n + 13*n + 39*n**5 - 120*n**3 - 12*n**2 - a*n**4 - 327*n**5 = 0 for n.
-2/9, 0, 1/2
Let l(s) be the third derivative of s**7/462 - s**6/110 - 7*s**5/220 + 5*s**4/33 - 2*s**3/11 - 71*s**2. What is b in l(b) = 0?
-2, 2/5, 1, 3
Let b(j) be the second derivative of 1/9*j**3 - 1/30*j**5 - 11*j + 1/9*j**2 - 1/54*j**4 + 0. Factor b(a).
-2*(a - 1)*(a + 1)*(3*a + 1)/9
Let u(a) be the first derivative of 128/5*a + 16/5*a**2 + 20 + 2/15*a**3. Find v, given that u(v) = 0.
-8
Let t(c) be the second derivative of 1/48*c**4 - 1/3*c**3 + 2*c**2 - 40*c + 0. Find i such that t(i) = 0.
4
Let n(i) = -i**4 - i - 3. Suppose 2 = 2*r + 8. Let o(x) = 2*x**4 - x**2 + x + 5. Let j(z) = r*o(z) - 5*n(z). Suppose j(f) = 0. What is f?
-1, 0, 2
Let s(d) be the first derivative of d**3/6 - 15*d**2/2 + 28*d - 299. Find r such that s(r) = 0.
2, 28
Let c(j) be the third derivative of 27*j**8/112 - 12*j**7/7 + 25*j**6/8 - j**5 - 3*j**4/2 - 4*j**2 + 2*j. Find a, given that c(a) = 0.
-2/9, 0, 2/3, 1, 3
Let 48*k**2 - 110*k**2 + 58*k**2 + 108 + 104*k = 0. What is k?
-1, 27
Let h(n) be the second derivative of n**5/120 + n**4/8 - 7*n**3/12 - 18*n**2 - 19*n. Let k(a) be the first derivative of h(a). Determine r, given that k(r) = 0.
-7, 1
Let k be 108/(-20)*10/(-24). Suppose -3/2*g + 3/4*g**4 + 0 - k*g**2 + 0*g**3 = 0. What is g?
-1, 0, 2
Let n(l) be the third derivative of l**8/1344 + 3*l**7/280 + 19*l**6/480 + l**5/80 - 5*l**4/24 - l**3/2 + 4*l**2 + 16. Let n(y) = 0. Calculate y.
-6, -2, -1, 1
Let v = -40 + 46. Let d be v*3*1/6. Determine k, given that -1/2*k**2 + 0 - 1/4*k**d - 1/4*k = 0.
-1, 0
Let p be (-720)/768*(-244)/27 - (-2)/(-9). Factor 3/2*w**3 - 3/4*w**4 - 9*w + p*w**2 - 27.
-3*(w - 3)**2*(w + 2)**2/4
Let x(c) = 3*c**3 + 80*c**2 + 300*c + 304. Let f(y) = 3*y**3 + 81*y**2 + 300*y + 300. Let o(p) = 4*f(p) - 3*x(p). Factor o(g).
3*(g + 2)**2*(g + 24)
Factor 336/5 + 528/5*d + 288/5*d**2 + 3/5*d**4 + 12*d**3.
3*(d + 2)**3*(d + 14)/5
Let f(l) be the first derivative of l**8/5040 - l**7/630 - 10*l**3/3 + 26. Let i(y) be the third derivative of f(y). Factor i(x).
x**3*(x - 4)/3
Suppose -a + 35 = 5*w, -w - 3*a - 1 + 8 = 0. Suppose -k + 2 = -2*b + 4*b, -5*b + 5*k + 20 = 0. Suppose 2*x**b + 11 + 40*x - 52*x + w = 0. Calculate x.
3
Let f(h) be the first derivative of 2*h**3/21 + 6*h**2/7 + 10*h/7 + 48. Determine z, given that f(z) = 0.
-5, -1
Let w(n) be the second derivative of -n**6/180 + n**5/90 + 7*n**2/2 - 14*n. Let b(j) be the first derivative of w(j). Factor b(s).
-2*s**2*(s - 1)/3
Let j(k) be the second derivative of k**4/6 - 20*k**3/3 - 21*k**2 + 260*k. Factor j(x).
2*(x - 21)*(x + 1)
Let r(g) be the second derivative of -g**7/28 + g**6/5 - 7*g**5/15 + 7*g**4/12 - 5*g**3/12 + g**2/6 - 10*g - 4. Let r(f) = 0. What is f?
1/3, 2/3, 1
Suppose 2*j**2 - 11 - 84 - 18*j + 0*j**2 + 23 = 0. Calculate j.
-3, 12
Let j(l) be the third derivative of 14*l**2 + 0*l + 0*l**4 - 2/15*l**5 + 0 + 0*l**3 + 1/30*l**6. Find s, given that j(s) = 0.
0, 2
Let -37*a**2 - 2*a**3 - 68*a**2 - 180 + 26*a + 2*a**3 + 254*a + 5*a**3 = 0. Calculate a.
1, 2, 18
Let f(m) = 32*m - 19. Let h be f(7). Let y be -3 + 1/2 + h/50. Factor -y*i + 0 - 4/5*i**2.
-4*i*(i + 2)/5
Let t(m) = -m**2 - 1090*m - 59405. Let v(d) = -d**2 - 3270*d - 178215. Let z(w) = 7*t(w) - 2*v(w). Factor z(n).
-5*(n + 109)**2
Let l(d) be the third derivative of -d**5/120 - 11*d**4/3 - 1936*d**3/3 + 332*d**2. Factor l(g).
-(g + 88)**2/2
Let r(y) be the second derivative of 7/24*y**3 + 0 + 1/120*y**6 + 3/16*y**4 + 18*y + 1/16*y**5 + 1/4*y**2. Suppose r(h) = 0. Calculate h.
-2, -1
Let v be ((-344)/(-60) - 6)/((-52)/12 - -4). Factor -v*h**2 + 8/5*h + 0.
-4*h*(h - 2)/5
Let l(d) be the first derivative of -d**6/24 + 7*d**5/20 - d**4 + d**3 - 95. Suppose l(q) = 0. What is q?
0, 2, 3
Let c(j) be the first derivative of 4/3*j**3 + 1/3*j**4 + 3*j + 6 + 2*j**2. Let w(r) be the first derivative of c(r). Determine q, given that w(q) = 0.
-1
Factor 212/7 - 102/7*v - 2/7*v**2.
-2*(v - 2)*(v + 53)/7
Determine i so that -96/7*i - 514/7*i**2 - 81/7*i**4 - 5/7 - 72*i**3 = 0.
-5, -1, -1/9
Let k(y) be the first derivative of y**5/