, -1
Let p(f) be the third derivative of f**6/24 + 137*f**5/4 + 70725*f**4/8 + 210125*f**3/6 + 353*f**2 + 2*f. Solve p(n) = 0.
-205, -1
Let b(u) = u**2 - 20*u + 2. Let h be b(20). Let 1600 - r**2 + 6*r**h - r**2 - 3*r**2 - 35*r + 115*r = 0. What is r?
-40
Let t(f) be the second derivative of -f**4/4 - 69*f**3/2 + 105*f**2 + 6*f + 167. Solve t(p) = 0 for p.
-70, 1
Let d(u) be the third derivative of -1/2*u**4 - 10*u**2 + 1/2*u**3 + 0 + 1/10*u**6 + 0*u - 1/20*u**5. Factor d(v).
3*(v - 1)*(v + 1)*(4*v - 1)
Let d = -31 - 11. Let a = -41 - d. Factor -10*n - 17 + 21*n + 25*n - 20*n**2 + a.
-4*(n - 1)*(5*n - 4)
Let p(x) be the first derivative of -47 - 1/4*x**4 - 7/10*x**2 - 2/5*x - 3/5*x**3 - 1/25*x**5. Factor p(l).
-(l + 1)**3*(l + 2)/5
Suppose -327*f**4 - 64095*f + 64167 - 7338*f**3 + 84510*f**2 + 162826 - 3*f**5 + 10140 + 44828 - 208308*f = 0. Calculate f.
-59, 3
Let n be (3 + 3/(-3))*1123/(-2). Let k = 1123 + n. Solve k*y**2 + 1/2*y - 1/6*y**3 + 1/3 = 0 for y.
-1, 2
Let i = -2620938/5 + 524188. What is s in -i*s + 2/15*s**2 - 8/15 = 0?
-1, 4
Find h such that 524*h**2 + 5*h**3 + 595*h + 92 - 49 - 43 + 76*h**2 = 0.
-119, -1, 0
Let c(i) be the first derivative of -19 + 0*i**2 + 1/10*i**6 - 14*i + 1/2*i**3 - 1/4*i**4 - 3/20*i**5. Let n(t) be the first derivative of c(t). Factor n(y).
3*y*(y - 1)**2*(y + 1)
Let r(u) be the third derivative of -u**5/300 - 83*u**4/15 - 55112*u**3/15 + 20*u**2 + 4. Factor r(j).
-(j + 332)**2/5
Let i = -23379/136 + 3018/17. Let v(x) be the second derivative of 5/4*x**3 + i*x**2 + 5/48*x**4 - 8*x + 0. Determine m so that v(m) = 0.
-3
Let f = 31 - 7. Suppose -6*j + 12*j = f. Factor 5*g**3 - 1075*g**2 + 1077*g**2 + 0*g - g - 4*g**3 - 2*g**j.
-g*(g - 1)*(g + 1)*(2*g - 1)
Let u(o) be the third derivative of -1/40*o**6 - 9/8*o**4 + 0*o + 0*o**3 + 3/10*o**5 - 2*o**2 + 17. What is f in u(f) = 0?
0, 3
Let b(c) be the second derivative of 1/2*c**2 + 24*c + 0 + 1/48*c**4 - 1/6*c**3. Factor b(x).
(x - 2)**2/4
Factor 0 - 583/4*m + 1/4*m**2.
m*(m - 583)/4
Let j be (((-2)/(-6))/(-45 + 25816/574))/(-1). Let -26/3 - j*s - 16/3*s**2 - 1/3*s**3 = 0. What is s?
-13, -2, -1
Let u(j) be the third derivative of -j**5/360 + 179*j**4/9 - 512656*j**3/9 - 110*j**2 - 7*j - 1. Determine b so that u(b) = 0.
1432
Find c such that 1134/5*c - 228 + 6/5*c**2 = 0.
-190, 1
Let t(i) = 2*i**3 - 15*i**2 + 13*i - 34. Let o be t(7). Let a be 4/o*-7 + 4. Determine j, given that -5/2*j + 2*j**2 - a*j**3 + 1 = 0.
1, 2
Let q(d) = 7*d**4 + 11*d**3 + 14*d**2 - 40*d - 5. Let f(k) = -2*k**4 - k**3 - k**2 + 8*k + 1. Let t(j) = -5*f(j) - q(j). Factor t(w).
3*w**2*(w - 3)*(w + 1)
Let t be -2*((-35100)/210)/45. Solve 0 + 50/7*j**2 - 2/7*j**3 + t*j = 0 for j.
-1, 0, 26
Let b(o) = o**3 - 50*o**2 - 324*o - 670. Let n be b(56). Factor 264/5*z**n + 512/5 + 2/5*z**4 + 128*z + 8*z**3.
2*(z + 2)**2*(z + 8)**2/5
Let d(l) be the first derivative of -l**3/5 - 39*l**2/2 - 600*l - 11502. Determine w so that d(w) = 0.
-40, -25
Suppose 0 = -43*o + 84*o - 18*o. Let t(g) be the second derivative of 1/130*g**5 + o + 23/39*g**3 + 38*g + 11/13*g**2 + 1/6*g**4. Factor t(j).
2*(j + 1)**2*(j + 11)/13
Let y(z) be the first derivative of 1/4*z**4 - 124 - 5/9*z**3 + 1/3*z**5 + 1/18*z**6 + 0*z - 2/3*z**2. Solve y(m) = 0 for m.
-4, -1, 0, 1
Let p(l) be the third derivative of 0*l + 0 + 10*l**2 - 5/2*l**3 - 7/16*l**4 - 1/40*l**5. Factor p(a).
-3*(a + 2)*(a + 5)/2
Let t(m) = m + 22. Let j be t(-14). Suppose 102 = j*g + 30. Factor 12*h**5 + 3*h**2 + 3*h**2 - 9*h**3 - g*h**5.
3*h**2*(h - 1)**2*(h + 2)
Let u(r) be the first derivative of -25*r**4/4 - 145*r**3/3 + 15*r**2 - 1785. Suppose u(a) = 0. Calculate a.
-6, 0, 1/5
Factor -347/9*o**2 - 88/3 - 43/9*o**3 - 569/9*o - 1/9*o**4.
-(o + 1)**2*(o + 8)*(o + 33)/9
Let b be -4*(-10)/8 - (-18 + 19). Let h be -1 - -6 - (0 - 0). Factor -b*t + t - h*t**3 - 2*t**2 + 4*t**3 + 2*t.
-t*(t + 1)**2
Let p(y) be the first derivative of -20*y**2 + 13/3*y**3 - 1/4*y**4 + 251 + 0*y. Factor p(z).
-z*(z - 8)*(z - 5)
Suppose -2*v = -3*k + 12, 3*k = 2*v + k + 12. Let j be -2*((-413)/(-70) + v). Factor -4/5*x**2 - j*x**3 - x - 2/5.
-(x + 1)**2*(x + 2)/5
Let d(p) be the second derivative of -3/16*p**5 + 7/8*p**4 - 7/8*p**3 - p + 10 - 3/4*p**2. Suppose d(u) = 0. Calculate u.
-1/5, 1, 2
Factor 2/5*d**4 - 2752/5*d**3 + 1420032/5*d**2 - 325660672/5*d + 28006817792/5.
2*(d - 344)**4/5
Let a(r) be the second derivative of r**8/336 - r**7/105 - 7*r**6/40 - 3*r**5/10 + 24*r**2 - 4*r + 29. Let g(o) be the first derivative of a(o). Factor g(d).
d**2*(d - 6)*(d + 1)*(d + 3)
Let p(s) = -3*s**3 - 123*s**2 - 337*s + 17. Let a be p(-3). Let -4/3 - 14/3*x - 6*x**a - 10/3*x**3 - 2/3*x**4 = 0. Calculate x.
-2, -1
Let x be (130/(-1300))/((-2)/(-12684)). Let t = -634 - x. Find d, given that -1/10*d**5 + 3/10*d**3 + 0 + t*d + 1/10*d**4 - 1/2*d**2 = 0.
-2, 0, 1
Suppose -1127*r + 2466*r + 1431 + 178 + 1091 - 5*r**2 + 1356*r = 0. What is r?
-1, 540
Suppose -274576/19 - 38514/19*z - 540/19*z**2 - 2/19*z**3 = 0. Calculate z.
-131, -8
Let l(y) be the third derivative of -y**6/1620 + y**5/54 + 26*y**3/3 + 2*y**2 - 1. Let a(x) be the first derivative of l(x). Suppose a(r) = 0. What is r?
0, 10
Let z(s) be the first derivative of -14*s**4/3 - 44*s**3/3 + 64*s**2/3 + 20*s + 1791. Let z(g) = 0. Calculate g.
-3, -5/14, 1
Let f(u) = -u - 23. Let p be f(-3). Let v(r) = -r**3 - 21*r**2 - 19*r + 25. Let s be v(p). What is h in -974*h**2 + 6*h**3 - 3*h**s + 974*h**2 - 3*h**3 = 0?
-1, 0, 1
Let i = 481180/44271 - -98/4919. Factor i - 28/9*t + 2/9*t**2.
2*(t - 7)**2/9
Let h(q) = -q**3 + 39*q**2 - 37*q - 21. Let x be h(38). Let v(m) be the first derivative of -1/6*m**3 + x + 1/2*m + 1/8*m**4 - 1/4*m**2. Factor v(i).
(i - 1)**2*(i + 1)/2
Suppose 0 = -2*a + 1 - 5, -4*x - 5*a = 318. Let d be (12/(-30))/(x/55). Find i such that -1/7*i - 1/7*i**3 + d*i**2 + 0 = 0.
0, 1
Let l(j) be the first derivative of -25*j**3/3 + 2140*j**2 + 4305*j + 2635. Factor l(b).
-5*(b + 1)*(5*b - 861)
Suppose 2*q + d = 7*q - 81, 69 = 5*q - 4*d. What is j in -11*j - q*j + 54*j**2 - 10*j**2 - 588 - 4*j**3 + 0*j**3 = 0?
-3, 7
Let o be (6/(-24))/(14/(-3472)). Let 110 + 48*y - 15*y - 5*y**2 - o*y - 76*y = 0. Calculate y.
-22, 1
Let y = 185068 - 185068. Let y + 1/6*n**4 + 1/6*n - 1/6*n**2 - 1/6*n**3 = 0. Calculate n.
-1, 0, 1
Suppose 2*f - 53 = v - 4*v, 0 = -4*v + 20. Suppose 4*c - w = 4, 3*w = -c + f - 5. Let -12 + 21*t - 6 - 5*t**3 + c*t**3 = 0. Calculate t.
-3, 1, 2
Let q(h) be the second derivative of -h**4 + 2/15*h**6 - 4*h**2 + 0 + 10/3*h**3 - 84*h - 1/5*h**5. Factor q(i).
4*(i - 1)**3*(i + 2)
Let w(h) be the second derivative of 1815/2*h**2 + 1/20*h**4 + 0 + 11*h**3 - 56*h. Let w(a) = 0. Calculate a.
-55
Let q = 8903 + -534179/60. Let o(u) be the third derivative of 11*u**2 - q*u**5 + 0 + 2/3*u**4 - 32/3*u**3 + 0*u. Factor o(x).
-(x - 8)**2
Suppose -3*a = -54*o + 52*o - 2, 4*a + 4 = 4*o. Let y(t) be the first derivative of -a + 0*t**2 + 0*t - 1/8*t**3. Factor y(i).
-3*i**2/8
Let k(f) be the second derivative of 0*f**2 - 6/5*f**5 - 2/5*f**6 - 4/3*f**4 + 5 - 1/21*f**7 + 5*f + 0*f**3. Factor k(z).
-2*z**2*(z + 2)**3
Let c(a) = -2*a**2 - 2*a - 24. Let s be c(0). Let g = s - -51. What is n in g*n + 25*n**3 + 25*n**2 + 8*n + 15 - 20*n**3 = 0?
-3, -1
Let s(c) be the first derivative of -1/10*c**5 + 21/4*c**2 - 5/8*c**4 - 14 + 9*c - 1/6*c**3. What is t in s(t) = 0?
-3, -1, 2
Suppose 6*q + 4*u - 45 = 3*q, -3*q + 45 = 5*u. Suppose 0 = p + 2*p - q. Find v such that p - 2 - 12 - 12*v - 3*v**2 = 0.
-3, -1
Let w(p) be the third derivative of -p**7/1008 - 25*p**6/48 - 1875*p**5/16 + p**4 + 212*p**2. Let h(g) be the second derivative of w(g). Factor h(f).
-5*(f + 75)**2/2
What is r in -3640*r - 265*r**4 - 469*r**2 + 595 - 709*r**5 - 2646*r**2 + 2785 + 3635*r**3 + 714*r**5 = 0?
-1, 1, 26
Let p = 594 - 592. Find c, given that -65*c**4 + 34*c**p - 214*c**2 - 172*c**3 + 16*c**3 - 5*c**5 + 14*c**3 - 98*c**3 = 0.
-6, -1, 0
Let a(i) = 52*i**2 - 808*i - 10764. Let z(b) = 10*b**2 - 161*b - 2153. Let q(p) = -3*a(p) + 16*z(p). Suppose q(k) = 0. What is k?
-11, 49
Let l(o) be the first derivative of o**3/27 + 1550*o**2/9 + 2402500*o/9 - 1591. Let l(z) = 0. Calculate z.
-1550
Let d(g) = -15*g**2 - 30*g - 5. Suppose 39*c = 55*c - 80. Let n(i) = -8*i**2 - 15*i - 3. Let u(x) 