of 0 - 1/72*t**6 + 1/8*t**5 + 2/3*t**3 + 0*t**4 + 8*t**2 + 0*t. Let v(q) be the first derivative of z(q). Factor v(s).
-5*s*(s - 3)
Let v(b) = -b**3 + 3*b**2 + 9*b - 3. Let a be v(4). Solve -50*k + 2*k**2 + 101*k + 32 - a*k = 0.
-16, -1
Let g(k) = 2*k**2 - 13*k - 19. Let y be g(8). Let v be 3/((y/(-5))/(-1)). Find a such that -v*a**5 + 5*a**2 + 13*a**4 - 13*a**4 + 9*a**3 - 11*a**2 = 0.
-2, 0, 1
Find n, given that 26/5*n + 2/5*n**2 + 16 = 0.
-8, -5
Let k be 69/60 - (-381)/3810. Suppose -k*d**2 + 0 + 55/4*d = 0. Calculate d.
0, 11
Let s(v) = v**2 - 6*v - 44. Let z be s(11). Suppose -29 + z = -6*y. Solve -2*m**2 - m**y + 2*m**3 + 0*m**2 = 0.
0, 2
Let g(i) be the second derivative of -i**5/25 + 23*i**4/15 - 8*i**3/3 - 88*i**2/5 - 1550*i. Determine d so that g(d) = 0.
-1, 2, 22
Let r(i) = i**2 - i + 1. Let a(n) = -6*n**2 - 24*n - 30. Let x(p) = 1. Let f(j) = a(j) + 3*x(j). Let z(w) = f(w) + 3*r(w). Suppose z(y) = 0. What is y?
-8, -1
Let y(d) be the first derivative of d**6/24 - 9*d**5/4 + 563*d**4/16 - 385*d**3/4 - 441*d**2/2 - 2389. What is o in y(o) = 0?
-1, 0, 4, 21
Let n(r) be the third derivative of -4/15*r**4 + 1/150*r**6 - 8/15*r**3 + 1/210*r**7 + 1/1680*r**8 - 4/75*r**5 + 0*r + 32*r**2 + 1. Let n(b) = 0. Calculate b.
-2, -1, 2
Let b(x) be the first derivative of -3*x**4/4 + 20*x**3/3 + 7*x**2/2 + 655. Let b(j) = 0. Calculate j.
-1/3, 0, 7
Let n = 552307 + -1656916/3. Factor 0 + 0*l + n*l**2 - 1/3*l**3.
-l**2*(l - 5)/3
Let s(a) = -a**2 - 617*a - 14800. Let c be s(-25). Factor 4/3*v + c - 8/9*v**2 - 4/9*v**3.
-4*v*(v - 1)*(v + 3)/9
Suppose -21*l = -4*l + 27*l. Let r(a) be the second derivative of 1/12*a**4 + 14*a + 0*a**2 + 1/10*a**6 - 3/20*a**5 + 0*a**3 + l - 1/42*a**7. Solve r(k) = 0.
0, 1
Let s(l) be the second derivative of l**6/45 - 2*l**5/15 - 10*l**4/9 + 16*l**3/3 + 5*l + 5. Factor s(i).
2*i*(i - 6)*(i - 2)*(i + 4)/3
Let s(l) = l - 1. Suppose -12*q - 2*g = -14*q - 8, 2*q = 4*g - 6. Let w(j) = j**2 + 5*j - 6. Let t(o) = q*s(o) + w(o). Determine h so that t(h) = 0.
-1, 1
Let x(b) = -b**3 - 6*b**2 + 13*b. Let k be x(-8). Let m = -20 + k. What is u in -5*u**m - 5*u**3 + 5*u**2 - 50*u**5 - 41*u**5 + 96*u**5 = 0?
-1, 0, 1
Suppose 75/2*l**2 + 0 + 37/2*l + l**3 = 0. Calculate l.
-37, -1/2, 0
Let p(y) be the second derivative of 15/14*y**7 + 0*y**3 + 2 + 13/16*y**5 + 0*y**2 - 5/48*y**4 + 141*y - 2*y**6. Factor p(r).
5*r**2*(r - 1)*(6*r - 1)**2/4
Let a(w) = -27*w**3 + 12*w**2 - 27*w - 60. Let m(k) = -32*k**3 + 10*k**2 - 26*k - 61. Let t(x) = 7*a(x) - 6*m(x). Solve t(i) = 0.
-9, -1, 2
Let j(r) be the first derivative of -r**6/1980 - r**5/110 + 7*r**4/132 - 31*r**3/3 - r**2/2 - 54. Let q(u) be the third derivative of j(u). Factor q(d).
-2*(d - 1)*(d + 7)/11
Let k(a) = -803*a + 13655. Let y be k(17). Factor 1/6*u**y + 2*u**3 + 49/6 + 11/3*u**2 - 14*u.
(u - 1)**2*(u + 7)**2/6
Let l(j) be the first derivative of 122 + 19/11*j**2 - 2/33*j**3 + 40/11*j. Let l(h) = 0. Calculate h.
-1, 20
Suppose 1 = -l + 5*u - 13, u - 22 = -3*l. Factor -2*n**3 + l*n - 3384*n**2 + 3394*n**2 + 6*n.
-2*n*(n - 6)*(n + 1)
Suppose -433*y - 456*y + 800*y = 0. Factor 1/3*a - 1/3*a**2 + y.
-a*(a - 1)/3
Let n(h) be the second derivative of h**4/42 + 2*h**3/3 - 15*h**2/7 - 42*h + 30. Let n(z) = 0. Calculate z.
-15, 1
Let k(z) be the third derivative of z**8/80640 + z**7/6720 - 77*z**5/60 - 60*z**2. Let o(j) be the third derivative of k(j). Let o(w) = 0. What is w?
-3, 0
Let a(c) be the first derivative of c**6/135 + c**5/45 - c**4/54 - 2*c**3/27 - 255*c - 156. Let s(m) be the first derivative of a(m). Factor s(u).
2*u*(u - 1)*(u + 1)*(u + 2)/9
Let g(q) be the first derivative of q**4/28 + 60*q**3/7 - 363*q**2/14 + 26*q - 1608. Factor g(f).
(f - 1)**2*(f + 182)/7
Let w(x) be the first derivative of 3*x - 1/30*x**5 + 7/4*x**2 - 5/24*x**4 - 73 - 1/18*x**3. Factor w(a).
-(a - 2)*(a + 1)*(a + 3)**2/6
Let d(a) be the second derivative of -3*a**5/16 + 85*a**4/48 + 5*a**3/4 + 2858*a. Let d(g) = 0. Calculate g.
-1/3, 0, 6
Let m be (-398160)/54648 + 2*4. Let q = m - -26/69. Find w, given that 0 + 0*w + 6/11*w**4 - q*w**3 + 0*w**2 = 0.
0, 2
Suppose 2*g = -5*z + 9, 0 = -4*z - 3*g + 4 - 1. Let q(m) = 11*m - 3. Let k be q(1). Factor -2*s**2 + k*s**4 - 2*s**z - 7*s**4 + 11*s**2 - 4*s**3.
s**2*(s - 3)**2
Let l(v) = -3*v**4 + v**2 - v - 2. Let r(f) = 11*f**4 + 11*f**3 + 13*f**2 - 59*f + 44. Let h(y) = -20*l(y) - 5*r(y). Find q, given that h(q) = 0.
-3, 1, 12
Let w(j) be the third derivative of -1/720*j**6 + 1/12*j**3 + j**2 - 1/120*j**5 + 1/144*j**4 - 127 + 0*j. Suppose w(n) = 0. What is n?
-3, -1, 1
Factor -4/3*a**2 - 150528 - 896*a.
-4*(a + 336)**2/3
Let n(d) be the second derivative of d**4/72 - 25*d**3/18 + 49*d**2/12 + 1245*d. Factor n(g).
(g - 49)*(g - 1)/6
Suppose 110 = -20*g + 25*g - 5*q, 2*g = -6*q + 44. Let h(s) be the second derivative of 0 + g*s + 4/3*s**2 + 5/9*s**3 + 1/18*s**4. Let h(k) = 0. Calculate k.
-4, -1
Let h(x) be the third derivative of x**5/270 + 163*x**4/18 - 979*x**3/27 - 2*x**2 + 5*x - 812. Find o such that h(o) = 0.
-979, 1
Let w be (-1104)/(-11592)*1/(4/(84/9)). Suppose 0 + 2/9*i**2 + w*i = 0. What is i?
-1, 0
Let a(i) be the first derivative of -5/4*i**4 + 25*i**2 + 0*i + 5*i**3 + 26. What is g in a(g) = 0?
-2, 0, 5
Let n = 566544 + -566539. Factor 12/7*q**n + 0*q + 0 + 12/7*q**2 + 60/7*q**3 + 51/7*q**4.
3*q**2*(q + 2)**2*(4*q + 1)/7
Let h(a) = -23*a**2 - 58*a - 120. Let w(v) = 8*v**2 + 18*v + 40. Let o = 848 + -831. Let d(b) = o*w(b) + 6*h(b). Find s, given that d(s) = 0.
-20, -1
Suppose 9*h = 12*h - 12. Suppose 2*k + 5 = -3, -26 = -2*m + h*k. Factor 4/7*q**3 + 0*q + 0*q**4 + 0*q**2 + 0 - 4/7*q**m.
-4*q**3*(q - 1)*(q + 1)/7
Let a = -72/581 - -2313/581. Let r(b) be the first derivative of 9/35*b**5 - 10/7*b**3 + 1/14*b**6 - a*b + 9/2*b**2 - 9/14*b**4 - 15. Factor r(q).
3*(q - 1)**3*(q + 3)**2/7
Factor -50*w**2 + 5/3*w**3 - 1040/3*w - 480.
5*(w - 36)*(w + 2)*(w + 4)/3
What is u in -351*u - 490*u - 120*u**2 - 146*u - 4*u**3 + 103*u = 0?
-17, -13, 0
What is n in 485/3 + 257/2*n + 1/6*n**3 - 33*n**2 = 0?
-1, 5, 194
Let w = 355 - -115. Determine j so that 4*j - 15*j + 472*j**3 - w*j**3 + 26*j**2 - 98 + 81*j = 0.
-7, 1
Suppose -31 = -5*q - 0*q + 2*l, -1 = q - 4*l. Suppose 53 + q = 5*i. Factor 4*v**2 - i*v - 2 + 2*v**5 - 4*v**3 - 2*v**4 + 28*v - 14*v.
2*(v - 1)**3*(v + 1)**2
Let z(p) be the first derivative of -p**6/8 - 3*p**5/10 + 15*p**4/8 + 2*p**3 - 99*p**2/8 + 27*p/2 + 1528. Determine d, given that z(d) = 0.
-3, 1, 2
Let n(t) be the third derivative of t**6/60 - 8*t**5/15 - t**4/24 + 3*t**3 + 9*t**2. Let x be n(16). Factor 12*v + 13 - 29 - 48*v**x + 16 + 21*v**3.
3*v*(v - 2)*(7*v - 2)
Let x be (-258)/430 - (-53)/5. Suppose -x*r + 14*r = -d + 4, 5*r - 8 = -2*d. Factor -18/5*a**3 + 36/5*a**2 + 8/5*a + 2/5*a**d - 48/5.
2*(a - 6)*(a - 2)**2*(a + 1)/5
Let w(o) be the second derivative of -o**7/6300 + 7*o**5/900 + o**4/30 - 40*o**3/3 + 96*o. Let h(p) be the second derivative of w(p). Factor h(k).
-2*(k - 3)*(k + 1)*(k + 2)/15
Let a(r) = 2*r - 1. Let f(x) = -x**3 + 2*x**2 + 5*x - 3. Let w(s) = s**2 - 5*s + 5. Let o be w(4). Let d(t) = o*f(t) - 3*a(t). Let d(k) = 0. What is k?
0, 1
Let q(a) = -4*a**2 + 888*a - 11646. Let m be q(208). Factor 0 + 2/23*c**3 + 0*c - 2/23*c**m.
2*c**2*(c - 1)/23
Let k(q) be the first derivative of -3*q**4/4 + 29*q**3 - 312*q**2 + 491. Determine j, given that k(j) = 0.
0, 13, 16
Suppose -w = 4*l - 23, -3*w - l + 9 + 16 = 0. Suppose 5*y - 18 - w = 0. Solve -3*n**2 - 9*n + y - 5 + 21*n = 0.
0, 4
Let m(j) = 4878 + 2*j**2 + 170*j - 928 + 30*j + 474. Let b(k) = 4*k**2 + 398*k + 8847. Let f(g) = -6*b(g) + 11*m(g). Solve f(y) = 0.
-47
Let u(f) be the first derivative of 3*f**4/4 - 423*f**3 + 178929*f**2/2 - 8409663*f + 7342. Factor u(d).
3*(d - 141)**3
Suppose -1/3*x - 19/6*x**4 - 5/6*x**2 + 0 + 7/2*x**3 + 5/6*x**5 = 0. What is x?
-1/5, 0, 1, 2
Suppose -7 = -9*x + 8*x. Suppose 8*d - 3*d + o = 9, -11 = -3*d + 5*o. Factor -4 - t - 14 + 6*t + x*t - 2*t**d.
-2*(t - 3)**2
Suppose 0 = 22*t - 1 - 43. Factor -2*k**2 - 101*k - 6*k**2 + t*k**3 + 107*k.
2*k*(k - 3)*(k - 1)
Let h be ((-1120)/64)/35*0. Factor h*g**3 - 1/3*g**5 + 0*g + 0*g**2 + 0 + 1/6*g**4.
-g**4*(2*g - 1)/6
Factor 301/4 - 75*h - 1/4*h**2.
-(h - 1)*(h + 301)/4
Let t be (113 + (-35600)/320)*8/13. S