.
-6, -1/3, 2
Let v(d) be the first derivative of 9/13*d**4 - 116 - 2/65*d**5 + 350/13*d**2 - 80/13*d**3 - 750/13*d. Factor v(r).
-2*(r - 5)**3*(r - 3)/13
Let b = -183851 - -1286972/7. Factor 18/7*j**2 + b*j + 0 + 3/7*j**3.
3*j*(j + 1)*(j + 5)/7
What is a in 2/9*a**5 - 42 + 14*a**4 - 4/3*a**3 - 338/3*a - 772/9*a**2 = 0?
-63, -1, 3
Solve 0 + 0*d + 0*d**2 + 0*d**3 - 11/6*d**4 + 1/6*d**5 = 0 for d.
0, 11
Let a = 2/1159 + 1079/46360. Let q(k) be the second derivative of a*k**5 - 1/4*k**2 - 1/3*k**3 + 1/96*k**4 + 0 + k. Suppose q(l) = 0. Calculate l.
-2, -1/4, 2
Let z be (-1045)/1650 + 1*(21/(-18) - -2). Factor 0 + 1/5*s**3 + 0*s - 2/5*s**2 + z*s**4.
s**2*(s - 1)*(s + 2)/5
Let o be 6/9 - ((-170)/45 + 4). Let r be -15 + 16 - (14/18 - 0). Factor -o + r*c**2 - 2/9*c.
2*(c - 2)*(c + 1)/9
Let s = -47467 + 47469. Determine b so that 84/5*b - 3/5*b**s - 588/5 = 0.
14
Factor 1/10*h**3 - 11/10*h**2 + h + 0.
h*(h - 10)*(h - 1)/10
Let p(n) be the second derivative of -n**4/18 + 8*n**3/3 - 23*n**2/3 - 1767*n. Factor p(o).
-2*(o - 23)*(o - 1)/3
Let a(w) = -w**3 - 30*w**2 - 29*w + 4. Let y be a(-29). Find x such that 40*x**2 + 47*x**3 + 6285 + 5*x**4 + 0*x**y - 100*x - 6285 + 8*x**3 = 0.
-10, -2, 0, 1
Let q = 37 - 34. Suppose 0 = q*t + 2*r + 7 - 19, 3*t - 12 = -5*r. Solve 1 - 2 - s**2 + t*s + 2 - 5 = 0 for s.
2
Let w(i) = i**2 - 16*i - 10. Let n be -57*3/(-9) + (-6)/3. Let c be w(n). Find f, given that -3*f**2 - 10*f + 22*f + c - 3*f**3 + 0*f + 5 = 0.
-2, -1, 2
Let y be 2 - ((-45)/(-300)*-25)/(6/4). Factor y*d - 3 + 0*d**2 - 3/2*d**3.
-3*(d - 1)**2*(d + 2)/2
Let d = 36825 + -36825. Let s(j) be the first derivative of -2/15*j**5 + 23 + 0*j + d*j**2 + 1/3*j**4 - 2/9*j**3. Solve s(z) = 0.
0, 1
Let k(g) be the first derivative of g**3/2 - 42*g**2 + 162*g - 887. Factor k(h).
3*(h - 54)*(h - 2)/2
Let c(z) be the first derivative of z**4 - 28 - 248/3*z**3 + 1922*z**2 + 0*z. Factor c(d).
4*d*(d - 31)**2
Let a(w) be the first derivative of 2/21*w**3 + 10/7*w**2 - 24 - 22/7*w. Suppose a(z) = 0. What is z?
-11, 1
Let h(n) be the second derivative of -n**6/10 + 19*n**5/20 - 7*n**4/3 - 2*n**3/3 + 8*n**2 + 4009*n. What is q in h(q) = 0?
-2/3, 1, 2, 4
Let d(p) = -p**3 - 22*p**2 - 24*p - 78. Let o be d(-22). Let n be (-2)/5*o/(-120). Suppose -n*r**3 + 3*r**2 - 3/2*r + 0 = 0. Calculate r.
0, 1
Let c(v) be the first derivative of v**7/1680 - v**5/60 + 2*v**3 - 6*v - 18. Let m(f) be the third derivative of c(f). Factor m(l).
l*(l - 2)*(l + 2)/2
Suppose 110 - 17 = -3*u. Let c be u/(-11) - (-4)/22. Let -3*r**2 + 16*r**c - 4*r**2 + 8*r**5 + 9*r**2 - 4*r**3 + 18*r**4 = 0. Calculate r.
-1, -1/4, 0
Let s(v) be the first derivative of 80 + 4*v**2 + 0*v - 8/3*v**3 + 1/2*v**4. Suppose s(c) = 0. Calculate c.
0, 2
Let x(u) = 4*u**4 + 29*u**3 + 4*u**2 + 4*u. Let s(v) = v**4 + 6*v**3. Let d(o) = -20*s(o) + 4*x(o). Suppose d(n) = 0. What is n?
-2, -1, 0, 2
Let 578*q + 1309/2*q**2 + 123/2*q**3 - 29/2*q**4 + 1/2*q**5 + 0 = 0. What is q?
-4, -1, 0, 17
Suppose -6 = o + 3*l, -4*o - 2*l = 2*l. Find k such that 32*k + 15*k**2 + k**4 - 2*k**o - 65*k**2 + 34*k**2 = 0.
-4, 0, 2, 4
Let q(w) be the third derivative of w**6/1620 + w**5/108 + w**4/27 + 61*w**3/2 + 107*w**2. Let g(t) be the first derivative of q(t). Factor g(i).
2*(i + 1)*(i + 4)/9
Suppose -139*k = -140*k + 53. Find q such that -17*q - 27 + 33*q**2 + k*q + 217*q**3 - 211*q**3 = 0.
-3, 1/2
Determine s so that -18 + 39/7*s - 3/7*s**2 = 0.
6, 7
Let b(g) be the first derivative of -32*g**3/15 - 3*g**2 + 2*g/5 + 3880. What is u in b(u) = 0?
-1, 1/16
Let u(a) = -11*a**3 - 69*a**2 - 17*a + 8. Let y be u(-6). Let b(m) be the second derivative of -1/6*m**4 - m**y - 27*m + 0 - 2/3*m**3. Let b(d) = 0. What is d?
-1
Let q(s) = s**2 - 3*s - 2. Let m be q(6). Let c be 4*12/m - 3. Factor -x**5 + 2*x**5 - 4*x**2 + x + c*x**5 + 6*x**3 - 4*x**4 + 0*x**2.
x*(x - 1)**4
Let s = -145957 + 145957. Suppose -w - 8/3*w**2 + s + w**3 = 0. What is w?
-1/3, 0, 3
Let a(y) be the first derivative of 3*y**4/4 - 2103*y**3 + 4422609*y**2/2 - 1033416303*y - 2344. Factor a(k).
3*(k - 701)**3
Let b(k) be the second derivative of 2*k**6/15 - 68*k**5/5 + 117*k + 26. Determine o, given that b(o) = 0.
0, 68
Let t be ((-8638)/(-3085))/(63/60). Factor -2/3 + t*z**3 + 4*z - 6*z**2.
2*(z - 1)**2*(4*z - 1)/3
Let m(t) be the second derivative of -t**5/90 + 8*t**4/3 - 95*t**3/9 + 142*t**2/9 + 1202*t. Factor m(r).
-2*(r - 142)*(r - 1)**2/9
Let d be 1*(2 + -2)/(-2). Suppose 112*y - 180*y = 175*y - 972. Factor 4*x**2 + 4/3*x + 4/3*x**4 + d + y*x**3.
4*x*(x + 1)**3/3
Let j(x) be the first derivative of 17*x**6/9 + 22*x**5/9 - 49*x**4/9 - 16*x**3/27 + 1235. Suppose j(s) = 0. What is s?
-2, -4/51, 0, 1
Suppose -825 - 65*k**2 + 3*k**3 - 6491*k + 98*k**2 + 6416*k = 0. Calculate k.
-11, -5, 5
Let v = 2740 - 1626. Factor -3*t + 3*t**4 - 4*t**4 + t**3 + 2*t - v*t**2 + 1115*t**2.
-t*(t - 1)**2*(t + 1)
Let m = -8355/17 - -58553/119. Factor 0*a - 4/7*a**4 + 1/7*a**5 - 1/7*a**3 + m*a**2 + 0.
a**2*(a - 4)*(a - 1)*(a + 1)/7
Let p(t) be the first derivative of 1/9*t**3 + 10/3*t**2 + 19/3*t + 91. Factor p(w).
(w + 1)*(w + 19)/3
Let w = 7281 + -7278. Let x(g) be the third derivative of 0 - 1/270*g**5 + 17*g**2 + 5/108*g**4 - 4/27*g**w + 0*g. Suppose x(s) = 0. What is s?
1, 4
Let y = 291 + -288. Suppose y*d + 9 + 12 = 3*s, -3*s = 2*d - 6. Factor 0*f**2 + 0 + 0*f**s - 2/3*f**5 + 4/3*f**3 - 2/3*f.
-2*f*(f - 1)**2*(f + 1)**2/3
Factor -61*x + 0*x**3 - 118*x + 0*x**3 - 88*x**2 - 2*x**3 + 11*x.
-2*x*(x + 2)*(x + 42)
Let r(z) be the second derivative of z**4/72 - 167*z**3/12 + 125*z**2/3 - 6527*z. Factor r(h).
(h - 500)*(h - 1)/6
Suppose -69 = -3*n - 5*a, a = -123*n + 128*n - 3. Suppose 2/7*r**n + 26/7 - 26/7*r**2 - 2/7*r = 0. Calculate r.
-1, 1, 13
Suppose 749*v - 2*n = 747*v + 2, 4*n = 3*v - 2. Let m(r) be the first derivative of -2 + 3/32*r**4 + 81/16*r**v - 81/8*r - 9/8*r**3. Factor m(l).
3*(l - 3)**3/8
Let l(z) be the third derivative of 0*z - 1/60*z**6 + 11/6*z**4 + 84*z**2 - 7/10*z**5 + 0 + 0*z**3. Factor l(n).
-2*n*(n - 1)*(n + 22)
Suppose 0 = -2*j - x + 5, -2*j - 2*x - 2 + 6 = 0. Solve -87278*k**3 + 87282*k**j + 0 + 32*k**2 + 0 = 0.
-8, 0
Let n(h) be the first derivative of -h**3/3 - 3*h**2/2 + 10*h - 922. Find c such that n(c) = 0.
-5, 2
Let q(x) = 10*x**2 - 20*x + 54. Let l(o) = -3*o**2 + 7*o - 18. Let m(c) = 7*l(c) + 2*q(c). Let k be m(5). Let -k*u + 5 - 2 + 165*u**2 - 166*u**2 = 0. What is u?
-3, 1
Let f = 5229/304 + -35387/2128. Find z, given that 4/7*z**2 - 48/7 + 32/7*z - f*z**3 = 0.
-3, 2
Let s(f) be the second derivative of -f**7/147 - f**6/21 + 123*f**5/70 + 257*f**4/42 + 130*f**3/21 - 418*f. Let s(h) = 0. Calculate h.
-13, -1, 0, 10
Factor 2/3*k**2 - 314/3*k + 408.
2*(k - 153)*(k - 4)/3
What is c in -366*c**2 + 120*c**2 - 812*c + 129*c**2 + 164836 + 118*c**2 = 0?
406
Let q(s) be the first derivative of -s**3 - 27*s**2 - 96*s - 210. Solve q(y) = 0.
-16, -2
Factor 36/5 - 2/5*d**2 - 6/5*d.
-2*(d - 3)*(d + 6)/5
Suppose -4*g + 2 = -5*d, -2*g + 81 - 65 = 5*d. Let s(y) be the second derivative of 5/12*y**4 - 2*y + 0 + d*y**2 - 4/3*y**3 - 1/20*y**5. Factor s(f).
-(f - 2)**2*(f - 1)
Let p(g) = -g**2 + 27*g + 58. Let j be p(28). Let v be j/70 + (-6)/21. Solve 1/7*r**2 - 1/7*r**4 + v*r - 1/7*r**3 + 0 = 0 for r.
-1, 0, 1
Suppose 0 = 2*s - 2*g + 12, -s = -135*g + 140*g - 42. Let p(r) be the first derivative of 0*r**s + 24 + 0*r + 2/3*r**5 - 2*r**4 + 8/9*r**3. Factor p(l).
2*l**2*(l - 2)*(5*l - 2)/3
Let h(s) be the second derivative of -s**6/40 + 21*s**5/80 + s**4/2 + 446*s. Factor h(n).
-3*n**2*(n - 8)*(n + 1)/4
Let p(q) be the first derivative of -q**6/6 - q**5/2 + 5*q**4/3 + 5*q**3/3 - 15*q**2/2 - 89*q + 110. Let m(c) be the first derivative of p(c). Factor m(y).
-5*(y - 1)**2*(y + 1)*(y + 3)
Let a(t) = -2*t**3 + 16548*t**2 - 45474060*t + 41730023557. Let w(y) = 10*y**2 - 2*y + 1. Let k(n) = -a(n) + 3*w(n). Factor k(x).
2*(x - 2753)**3
Solve -27*a + 183*a - 648 + 44*a - 68*a + 184*a + 4*a**2 = 0.
-81, 2
Find k such that -56/3*k - 88 - 2/3*k**2 = 0.
-22, -6
Let g(c) be the second derivative of -c**10/120960 + c**8/8960 - c**7/5040 - 35*c**4/6 - 147*c. Let a(x) be the third derivative of g(x). Factor a(u).
-u**2*(u - 1)**2*(u + 2)/4
Let f(v) be the third derivative of v**6/540 + 19*v**5/270 + 5*v**4/6 - 1