l such that 16/7*l - 2/7*l**4 + 12/7*l**2 + x*l**3 + 6/7 = 0.
-1, 3
Suppose 44*d - 3 = n + 41*d, 4*d = -n + 11. Factor -20*u**3 + n*u**2 - 25*u**2 + 94*u**2.
-4*u**2*(5*u - 18)
Let i(p) be the second derivative of 31/32*p**4 - 135*p - 9/4*p**2 - 3/40*p**5 + 0 - 5/2*p**3. Factor i(k).
-3*(k - 6)*(k - 2)*(4*k + 1)/8
Suppose 9 = 3*k, -5*h + 2*k + 3 + 1 = 0. Let 2*w**3 + 0*w + 9*w**2 - 8*w**4 - 4 - 3*w**h + 6*w**4 - 2*w = 0. What is w?
-1, 1, 2
Let f(r) be the first derivative of -r**6/240 - 11*r**5/80 + 21*r**4/8 - 7*r**3 + 3*r + 306. Let a(d) be the third derivative of f(d). Factor a(i).
-3*(i - 3)*(i + 14)/2
Let o(x) be the third derivative of 0 - 1/240*x**5 + 2*x**2 - 7*x + 5/48*x**4 + 0*x**3. Find z such that o(z) = 0.
0, 10
Let l(w) be the first derivative of 48*w**5/25 - 97*w**4/10 + 248*w**3/15 - 53*w**2/5 + 4*w/5 + 7500. Solve l(g) = 0.
1/24, 1, 2
Let a(g) be the second derivative of g**5/20 - 10*g**4/3 + 113*g**3/6 - 37*g**2 - 2*g + 26. Factor a(l).
(l - 37)*(l - 2)*(l - 1)
Let z(j) be the first derivative of 0*j**2 - 5/3*j**4 - 10/3*j**3 + 1/4*j**5 + 1/6*j**6 + 22 - 25*j. Let w(m) be the first derivative of z(m). Factor w(f).
5*f*(f - 2)*(f + 1)*(f + 2)
Let x be (-9)/(-18) - (-3)/(-2). Let q(r) = r**2 - r - 1. Let p(d) = 4*d**2 + 5*d + 2. Suppose -8*w + 9*w = 1. Let v(z) = w*q(z) + x*p(z). Factor v(o).
-3*(o + 1)**2
Let v(f) be the third derivative of f**4/24 - f**3 + 7*f**2. Let q be v(8). Let -10*w + 7*w**2 - 10*w**q - w**2 + 10*w**3 + 4 = 0. What is w?
-1, 2/5, 1
Let y(n) be the second derivative of n**7/1155 + n**6/33 - 7*n**5/110 + 22*n**2 + 2*n - 7. Let p(i) be the first derivative of y(i). Factor p(f).
2*f**2*(f - 1)*(f + 21)/11
Let r(t) be the first derivative of 0*t - 3/5*t**5 + 101 - 3/2*t**4 + 0*t**3 + 0*t**2. Factor r(i).
-3*i**3*(i + 2)
Let j = 9497/280 - 1765/56. Factor 18/5*o**2 + 8/5*o**3 + 2/5 + j*o.
2*(o + 1)**2*(4*o + 1)/5
Let g(x) be the first derivative of 7*x**6/24 - x**5/4 - 9*x**4/16 + 5*x**3/12 + x**2/4 + 2062. Determine n so that g(n) = 0.
-1, -2/7, 0, 1
Suppose 0 = -2*i - 5*k + 6*k, -i - 2*k + 10 = 0. Suppose 32*b = i*b + 120. Suppose -20/9*p**b + 8/9*p**2 + 4/9*p**5 + 8/3*p**3 + 4/3 - 28/9*p = 0. Calculate p.
-1, 1, 3
Find z, given that -4*z**4 + 1 - 108*z**3 + 24*z**3 - 1 - 633*z**2 + 417*z**2 = 0.
-18, -3, 0
Suppose 243 = 118*j + 8*j - 9. Let x(f) be the third derivative of 0 + 27*f**j - 1/240*f**5 + 0*f + 7/96*f**4 - 1/4*f**3. Factor x(b).
-(b - 6)*(b - 1)/4
Let g = -4/4481 + 4505/26886. Let k(v) be the first derivative of 26 + g*v**3 - 3*v - 5/4*v**2. Factor k(j).
(j - 6)*(j + 1)/2
Let w(t) = t + 118. Let l be w(-8). Let i be l/(-66)*2/(-20)*1. Solve -1/2*n**2 + i - 1/3*n = 0.
-1, 1/3
Let g(v) be the third derivative of v**8/252 + 47*v**7/1260 + v**6/8 + 13*v**5/90 - v**4/18 + v**2 - 3*v. Determine w, given that g(w) = 0.
-2, 0, 1/8
Let x(t) = t**3 + t**2 - 2*t - 2. Let j(a) = -26*a - 142. Let c be j(-6). Let y(g) = -3*g**3 - 4*g**2 + 6*g + 7. Let v(r) = c*x(r) + 4*y(r). Factor v(l).
2*l*(l - 2)*(l + 1)
Let a(i) = 3*i**5 - 13*i**4 + 22*i**3 + 13*i**2 - 20*i + 1. Let v(o) = -o**5 - o**4 + o**2 - 4*o - 1. Let d(u) = a(u) + v(u). What is y in d(y) = 0?
-1, 0, 1, 3, 4
Let q(p) be the second derivative of 0 - 1/90*p**5 + 1/27*p**3 + 1/54*p**4 + 0*p**2 - 1/135*p**6 - 59*p. Factor q(g).
-2*g*(g - 1)*(g + 1)**2/9
Let w = -1922175/7 - -275410. Let b = w - 813. Factor 12/7*g + b + 4/7*g**3 + 12/7*g**2.
4*(g + 1)**3/7
Let c = 47 + -45. Suppose 5*u + 5*l + 3 + 7 = 0, c*u = 5*l + 31. Suppose -12*f**2 + 80*f - 4*f**u + 4*f**3 + 6*f**3 - 32 + 58*f**2 = 0. Calculate f.
-4, 1/3
Suppose -18*b = -4*b - 1316. Suppose -b*x + 101*x = 0. Solve 72/7*y**2 - 312/7*y**3 + x*y + 338/7*y**4 + 0 = 0 for y.
0, 6/13
Let b = -27246 + 190728/7. Let c(k) be the second derivative of -9*k - 1/21*k**4 - 1/70*k**5 + 5/21*k**3 + b*k**2 + 0. Let c(g) = 0. Calculate g.
-3, -1, 2
Let s be ((-33)/21)/((-1705)/465). Factor 6/7 - 6/7*k**2 + 3/7*k - s*k**3.
-3*(k - 1)*(k + 1)*(k + 2)/7
Let w(g) be the first derivative of g**4/2 + 36*g**3 - 55*g**2 + 38. Factor w(c).
2*c*(c - 1)*(c + 55)
Let c(j) be the second derivative of -12 + 3/100*j**5 - 3/10*j**4 + 2*j + 11/10*j**3 - 9/5*j**2. What is i in c(i) = 0?
1, 2, 3
Let i(j) be the second derivative of 21/8*j**2 - 3/80*j**5 + 5/16*j**4 + 13/8*j**3 - 4 - 9*j. Determine y, given that i(y) = 0.
-1, 7
Suppose 5*p - 7 = -k, -4 = -4*p - 2*k + 4. Suppose -3 - 2*q**2 + 4*q + 1 + 1 - p = 0. What is q?
1
Let t(v) = 7*v**2 - 4142*v + 1403570. Let p(a) = 23*a**2 - 12445*a + 4210711. Let f(w) = 2*p(w) - 7*t(w). Find c, given that f(c) = 0.
684
Let d = 21/7762 - -27523905/54334. Let k = d + -506. Factor -5/7*f + 1/7*f**5 - 4/7*f**4 + 2/7 + k*f**3 + 2/7*f**2.
(f - 2)*(f - 1)**3*(f + 1)/7
Suppose 138*x - 284*x = -146. Let w(p) be the first derivative of -x + 0*p**2 - 2/3*p + 2/9*p**3. Suppose w(n) = 0. What is n?
-1, 1
Let c = -281917/14 - -20137. Let o(n) be the first derivative of 5/7*n**2 + 2/21*n**3 + 6/7*n + 32 - c*n**4. Solve o(h) = 0 for h.
-1, 3
Let q = 90/59 - -3326/295. Let n(s) be the first derivative of -4/15*s**3 + 12 + 16/5*s**2 - q*s. Factor n(x).
-4*(x - 4)**2/5
Let g(d) be the first derivative of 298/3*d**3 - 1/6*d**6 + 81*d - 53 - 261/2*d**2 + 21/5*d**5 - 69/2*d**4. Let g(z) = 0. Calculate z.
1, 9
Let f(s) be the first derivative of 6*s - 3/2*s**3 - 3/8*s**4 + 42 + 0*s**2. Suppose f(d) = 0. Calculate d.
-2, 1
Let l(p) be the second derivative of p**5/170 + 13*p**4/17 - 241*p**3/51 + 162*p**2/17 + 1822*p. Factor l(x).
2*(x - 2)*(x - 1)*(x + 81)/17
Suppose 52 = -2*p + 4*o, 0 = 5*p + 2*o + 144 - 50. Let f be 5/p*(16/6 - 4). Suppose -2/3*r**3 + 1/3 - f*r**4 + 0*r**2 + 2/3*r = 0. Calculate r.
-1, 1
Let m(b) be the third derivative of -19/60*b**6 - 17/15*b**5 + 0 - 3*b**3 - 3*b - 19/8*b**4 - 1/21*b**7 - 24*b**2 - 1/336*b**8. Factor m(p).
-(p + 1)**2*(p + 2)*(p + 3)**2
Let d(x) be the first derivative of x**5/10 - 2*x**4/3 + 5*x**3/3 - 2*x**2 - 57*x - 89. Let r(i) be the first derivative of d(i). Factor r(q).
2*(q - 2)*(q - 1)**2
Let f = -26101/6 + 4351. Let p(a) be the third derivative of -f*a**4 - 1/12*a**5 - 10/3*a**3 + 0 + 0*a - 10*a**2. Find c such that p(c) = 0.
-2
Let j be ((-1456)/49 - (50 + -78)) + 2. Solve -j*v**2 - 80/7 - 26/7*v = 0.
-8, -5
Let y(c) be the first derivative of -4*c**3/15 - 98*c**2/5 - 192*c/5 + 934. Let y(b) = 0. Calculate b.
-48, -1
Let s = 4/35919 + 71818/179595. Let h = -1459 + 7373/5. Determine u, given that -58/5*u**2 - 36/5 - s*u**4 + h*u + 18/5*u**3 = 0.
1, 2, 3
Let l = 508772 + -99209978/195. Let p = l - 14/65. Solve -p*n + 2/3*n**3 - 4*n**2 + 2/3*n**4 + 16/3 = 0.
-2, 1, 2
Let b(x) be the third derivative of -x**6/40 + 5*x**5/4 - 7*x**4 - 110*x**3 - 994*x**2. Suppose b(j) = 0. Calculate j.
-2, 5, 22
Let v be 756/(-112) + 297/36. Solve 5/2 + v*w**2 + 8*w = 0.
-5, -1/3
Suppose 3*t - 5 = -w, -t + 7 = -3*w + 2. Factor -4*v**3 - t*v - 3*v**2 + 31*v**2 + 24*v - v + 11*v.
-4*v*(v - 8)*(v + 1)
Suppose 2*y = -11*y - 25*y. Let m(w) be the first derivative of 0*w**2 + 11 + y*w - 1/10*w**4 - 3/25*w**5 - 1/30*w**6 + 0*w**3. Factor m(v).
-v**3*(v + 1)*(v + 2)/5
Let b(f) be the second derivative of -f**5/180 - f**4/12 - 4*f**3/9 + 18*f**2 + 12*f. Let c(g) be the first derivative of b(g). Factor c(s).
-(s + 2)*(s + 4)/3
Let z(m) = -25*m**3 - 152*m**2 + 2853*m - 18954. Let q(h) = -22*h**3 - 150*h**2 + 2854*h - 18954. Let d(n) = 9*q(n) - 8*z(n). Factor d(c).
2*(c - 27)**2*(c - 13)
Let c(f) = 3*f - 14. Let o(m) = -m. Let w be o(-6). Let n be c(w). Factor -4*b**n - b**4 + 10 - 5*b**2 + b**3 + 6*b**3 - 15*b + 8*b**3.
-5*(b - 2)*(b - 1)**2*(b + 1)
Let n(p) be the first derivative of 7/24*p**4 + 8 + 1/20*p**5 - p**3 + 15*p**2 + 0*p. Let s(f) be the second derivative of n(f). Factor s(d).
(d + 3)*(3*d - 2)
Let s(l) be the third derivative of l**9/15120 + l**8/1260 - l**7/252 + 11*l**5/12 - 9*l**2 - 4*l. Let x(q) be the third derivative of s(q). Factor x(d).
4*d*(d - 1)*(d + 5)
Let q(s) be the third derivative of -s**6/60 - 3*s**5/2 - 41*s**4/3 - 11*s**2 + 6*s. Factor q(u).
-2*u*(u + 4)*(u + 41)
Let q(h) = 3*h**3 + 162*h**2 - 478*h. Let d(b) = 2*b**3 + 81*b**2 - 240*b. Let n(c) = -5*d(c) + 3*q(c). Factor n(u).
-u*(u - 78)*(u - 3)
Let f(q) be the second derivative of -7*q**5/10 - 3*q**4 - 8*q**3/