/5
Let -694/9 - 2/9*q**2 - 232/3*q = 0. What is q?
-347, -1
Factor -57*c + 26*c - 9*c**2 - 64*c + 8*c + 0*c**2.
-3*c*(3*c + 29)
Let b(g) = g**3 - 9*g**2 + 13*g + 10. Let z be b(7). Factor 12 - 2*d**3 - 4*d**3 - 8*d**2 - 10*d**z + 16*d - 13493*d**4 + 13489*d**4.
-4*(d - 1)*(d + 1)**2*(d + 3)
Suppose m = 2*z - 6, -16 = 5*z - z + 5*m. Suppose z = 4*l - 7. Find o such that -3 + 2 - 14*o**2 - 7*o**l - 5 + 27*o = 0.
2/7, 1
Let l(p) be the second derivative of -5*p**7/168 - 7*p**6/24 + 11*p**5/16 + 95*p**4/48 - 95*p**3/12 + 10*p**2 + 994*p. Solve l(y) = 0.
-8, -2, 1
Let h(p) be the first derivative of -148 + 18*p**4 - 48/5*p**5 + 0*p - 9*p**3 + 3/2*p**2. Let h(q) = 0. What is q?
0, 1/4, 1
Let v = 155/282 + -7/141. Solve 0 + 0*f - v*f**3 + 5/2*f**2 = 0 for f.
0, 5
Suppose 187*g + 372*g + 0*g = 36335. Let -g*i**3 - 115/3*i**2 + 60 - 5/3*i**5 - 65/3*i**4 + 200/3*i = 0. What is i?
-9, -2, -1, 1
Let u(l) be the first derivative of l**7/28 + l**6/20 - 3*l**5/8 + 3*l**4/8 - 137*l + 117. Let g(r) be the first derivative of u(r). Let g(f) = 0. What is f?
-3, 0, 1
Let m(l) = 4*l**2 + 772*l - 4773. Let p be m(6). Let -12/5*t**2 - 6/5*t**5 + 26/5*t**p - 16/5 + 8/5*t**4 - 8*t = 0. Calculate t.
-1, -2/3, 2
Let r = -13550 + 13554. Factor 0 + 12/11*t - 4/11*t**3 + 2/11*t**r - 10/11*t**2.
2*t*(t - 3)*(t - 1)*(t + 2)/11
Let c be (0/(-3))/((-1)/(2/(-4))). Suppose -3*j - 2*f = -c*f - 1558, -4*j + 3*f = -2049. Suppose j - 4*h - 516 - 4*h**2 = 0. What is h?
-1, 0
Let k(r) be the second derivative of -1/170*r**5 + 8/17*r**2 + 2*r + 10/51*r**3 + 1/102*r**4 - 2. Let k(x) = 0. What is x?
-2, -1, 4
Solve -3/7*n**4 - 64/7*n + 48/7*n**2 + 0 - 1/7*n**5 + 20/7*n**3 = 0 for n.
-4, 0, 1, 4
Let y(d) = -12*d**2 + 438*d - 453. Let q(o) = -3*o**2 + 110*o - 113. Let f(i) = -9*q(i) + 2*y(i). Factor f(l).
3*(l - 37)*(l - 1)
Suppose 0 = -a + 3*h - 26 - 2, -5*h - 95 = 4*a. Let k = 27 + a. Factor 16/3 - 8*j - 1/3*j**3 + 3*j**k.
-(j - 4)**2*(j - 1)/3
Suppose 77404*a - 77425*a = 0. Let h(c) be the third derivative of -19*c**2 - 7/36*c**4 + 0*c - 2/3*c**3 - 1/90*c**5 + a. Determine w, given that h(w) = 0.
-6, -1
Determine a so that -1923/2 + 966*a**3 - 2889*a**2 - 3/2*a**4 + 2886*a = 0.
1, 641
Factor -47/3 + 1/6*o**2 + 31/2*o.
(o - 1)*(o + 94)/6
Let w(u) be the second derivative of -91*u**4/9 + 25*u**3/6 + 2*u**2/3 - 310*u - 9. Solve w(p) = 0.
-4/91, 1/4
Let a be (13 + -16)*(-3 - -2)*3. Suppose -3*w = c - a, -17*w = 4*c - 15*w - 16. Factor 3/4*r**4 + 1/4*r**2 - 1/4*r**5 + 0 + 0*r - 3/4*r**c.
-r**2*(r - 1)**3/4
Let j(z) be the third derivative of 1 - 89/690*z**5 - 4/69*z**3 + 55*z**2 - 3/23*z**4 + 0*z - 3/115*z**6. Solve j(m) = 0 for m.
-2, -1/4, -2/9
What is l in -101/2*l**2 + 0*l + 0 + 201/2*l**3 - 1/2*l**5 - 99/2*l**4 = 0?
-101, 0, 1
Let o(h) = -h**4 + 2515*h**3 - 2773*h**2 - 7*h. Let d(g) = -850*g**3 + 924*g**2 + 2*g. Let w(b) = -14*d(b) - 4*o(b). Factor w(i).
4*i**2*(i - 1)*(i + 461)
Let z be (-24900)/(-664)*(-7)/((-182)/24). What is k in z + 60/13*k + 2/13*k**2 = 0?
-15
Let b(r) = -r**3 - 2. Let m(x) = -x**5 + 3*x**4 + 7*x**3 - 27*x**2 - 4. Let t(c) = -10*b(c) + 5*m(c). Factor t(o).
-5*o**2*(o - 3)**2*(o + 3)
Let j be (-49)/98 - (-137)/22. Let o = -79/33 + j. Determine t so that o*t**3 - 2/3*t**4 - 26/3*t + 2*t**2 - 20/3 = 0.
-1, 2, 5
Let l(h) = -2*h**4 + 3*h**3 - 2*h**2 + h + 2. Let j(v) = -22*v**4 - 612*v**3 + 69300*v**2 - 2376188*v - 7770150. Let g(w) = j(w) - 12*l(w). Factor g(z).
2*(z - 109)**3*(z + 3)
Let a be (45/40)/((-85)/(-136)) - 242/(-60). Solve a*n**2 + 289/6 + 1/6*n**3 + 323/6*n = 0 for n.
-17, -1
Let o(x) be the third derivative of x**6/600 + 159*x**5/100 + 476*x**4 + 28322*x**3/15 + 5534*x**2. Factor o(c).
(c + 1)*(c + 238)**2/5
Let c be (-8*(-15)/120)/((-2)/(-6)). Let t(n) be the first derivative of -5*n + 5/9*n**c + 6 + 5/3*n**2. Suppose t(q) = 0. Calculate q.
-3, 1
Let t(c) = 131*c**2 + 378*c + 1600. Let d(k) = -176*k**2 - 376*k - 1600. Let o(l) = 3*d(l) + 4*t(l). Factor o(g).
-4*(g - 100)*(g + 4)
Let p(k) be the second derivative of 3*k**4/8 + 127*k**3/6 + 14*k**2 - k - 2883. Factor p(s).
(s + 28)*(9*s + 2)/2
Let v be (4/(-6))/(60/(-27) - -2). Factor 16*t - 1526*t**3 + 23*t + 5*t**2 + 1523*t**v - 21 - 20*t**2.
-3*(t - 1)**2*(t + 7)
Let a(y) be the third derivative of -y**7/42 + 267*y**6/8 + 535*y**5/4 + 4015*y**4/24 - y**2 + 2*y - 1377. Factor a(k).
-5*k*(k - 803)*(k + 1)**2
Suppose 1002 = 483*i + 75*i - 672. Solve 8/7*s**i - 2 - 44/7*s + 50/7*s**2 = 0.
-7, -1/4, 1
Let 59/2*o + 0 - 89*o**2 - 31*o**4 + 90*o**3 + 1/2*o**5 = 0. What is o?
0, 1, 59
Let w = -77 + 82. Let u(v) = 3*v - 12. Let f be u(w). Factor n**2 - 3*n**2 + n**2 + f*n + n**4 + n**3 - 4*n.
n*(n - 1)*(n + 1)**2
Let f(h) = 100*h**3 - 850*h**2 - 5530*h - 4240. Let a(n) = -7*n**3 + 61*n**2 + 395*n + 303. Let m(p) = -85*a(p) - 6*f(p). Factor m(j).
-5*(j + 1)*(j + 7)*(j + 9)
Let u(d) be the second derivative of -d**6/40 + 15*d**5/2 - 5099*d**4/8 + 2475*d**3 - 29403*d**2/8 + 192*d. Determine k so that u(k) = 0.
1, 99
Let d(q) be the second derivative of -3*q**3 + 6*q**2 - 1/9*q**4 + 0 - 76*q + 1/10*q**5. Find p, given that d(p) = 0.
-3, 2/3, 3
Solve 2/3*a**5 - 2/3 - 7/3*a**3 + 1/3*a + 7/3*a**2 - 1/3*a**4 = 0.
-2, -1/2, 1
Let d(x) = -10*x**4 + 239*x**3 + 1445*x**2 + 2208*x. Let v(p) = -7*p**4 + 160*p**3 + 964*p**2 + 1473*p. Let j(r) = -5*d(r) + 7*v(r). Factor j(q).
q*(q - 81)*(q + 3)**2
Let r(i) be the third derivative of -i**6/780 - i**5/30 + i**2 - 111*i. Find n, given that r(n) = 0.
-13, 0
Let d(u) be the first derivative of -12/5*u - 2/15*u**3 - 49 - u**2. Factor d(i).
-2*(i + 2)*(i + 3)/5
Let b(n) be the first derivative of -2*n**6/21 - 52*n**5/35 - 8*n**4 - 368*n**3/21 - 96*n**2/7 + 559. Find z such that b(z) = 0.
-6, -4, -2, -1, 0
Let d = 2563 + -2560. Let g(z) be the second derivative of 1/60*z**5 + 0 + 0*z**2 + 1/18*z**4 - 9*z + 1/18*z**d. Solve g(u) = 0.
-1, 0
Suppose -13*i - 7620 = -7659. Let q(n) be the third derivative of 0*n + 1/12*n**5 + 0 + 5/6*n**i - 3*n**2 - 5/12*n**4. Factor q(l).
5*(l - 1)**2
Let j(k) be the third derivative of k**7/560 - 89*k**6/160 + 8097*k**5/160 - 979*k**4/4 + 484*k**3 + 106*k**2. Let j(f) = 0. Calculate f.
1, 88
Let u be (6/8)/(27/18). Suppose -731*m = 990*m. Suppose -5/4*d**4 + m - u*d - 7/4*d**2 - 9/4*d**3 - 1/4*d**5 = 0. Calculate d.
-2, -1, 0
Let -232*m + 10*m**3 + 714*m - 232*m + 66 - 236*m - 42*m**2 = 0. What is m?
-1, 11/5, 3
Let h be (-6)/(-12)*(-3 - -15). Let o be (0 + -3)*(-542)/h. Let r**3 + 0 - o*r**2 + 269*r**2 + 2 - r = 0. Calculate r.
-1, 1, 2
Let w(q) = q**3 - 14*q**4 + 4*q + 13*q**4 + q**2 - 4*q + q**5. Let g(j) = -20*j**5 - 30*j**4 - 30*j**3 - 10*j**2. Let a(s) = -g(s) - 5*w(s). Factor a(k).
5*k**2*(k + 1)**2*(3*k + 1)
Determine q, given that 3524/15*q**3 + 2/15*q**5 - 3526/15*q + 166/15*q**4 + 3196/15*q**2 - 3362/15 = 0.
-41, -1, 1
Let n be (22/(-330))/((-2)/6). Let r be (4 - 5)/((-10)/6). Solve -n*m**3 - 7/5*m - m**2 - r = 0 for m.
-3, -1
Suppose -2*m - 3*s = 5, -3*m + 4*s = -21 + 3. Let l(i) be the first derivative of -39 + 11*i**m + 24*i - 2/3*i**3. Factor l(y).
-2*(y - 12)*(y + 1)
Let z(k) = k**3 - 32*k**2 - 48*k. Let c(h) = h**3 - 32*h**2 - 52*h. Let x(f) = 5*c(f) - 4*z(f). Suppose x(n) = 0. What is n?
-2, 0, 34
Let f = 7746/1463 + -108/19. Let z = 16/33 + f. Find u, given that z*u + 0 + 2/21*u**3 + 4/21*u**2 = 0.
-1, 0
Suppose 6 = -2*j + 4*f, 2*j + 5*f = 4*f + 9. Suppose -x - j*g = 5 + 2, 4*x + 5*g = 7. Let 0 + 20*o - 21*o**2 + x + 9*o**2 = 0. Calculate o.
-1/3, 2
Suppose 3*d + 27 = g, -47 = -g + 5*d - 14. Suppose 34*i = g*i + 10*i. Factor 4/9*f + i - 14/9*f**2.
-2*f*(7*f - 2)/9
Let k(z) be the first derivative of z**4/66 + 38*z**3/33 + 361*z**2/11 + 80*z + 66. Let b(y) be the first derivative of k(y). Factor b(w).
2*(w + 19)**2/11
What is g in -109*g**3 - 3*g**3 + 3*g**4 - 76*g**3 + 0*g**4 + 16875 + 8*g**3 + 3402*g**2 - 20100*g = 0?
1, 9, 25
Factor -57 - 7*h**2 - 318*h + 688 + 17 + 4*h**2.
-3*(h - 2)*(h + 108)
Let z(q) be the second derivative of 0 - 1/90*q**5 - 3*q + 1/3*q**3 + 1/18*q**4 - 2*q**2. Let u(s) be the first derivative of z(s). Suppose u(v) = 0. What is v?
-1, 3
Let s(a) be the second derivative of -5*a**4/24 + 10*a**3 - 175*a**2 + 1385*a - 2. Let s(q) = 0. Calculate q.
10, 14
Suppose -7 - 2 = -2*n + 5*s, 4 = n - 2*s. Solve -4*k**2 +