be t(l). Let 3*i**2 + 23 + 2*i - 3*i**3 + 13*i - u = 0. Calculate i.
-1, 3
Let t = 26 + -24. Factor -9*m + 2*m - 6 - t*m - 6 + 3*m**2.
3*(m - 4)*(m + 1)
Suppose 0 = 6*h - 13*h + 28. Find u such that -11 + u**3 + 11 + 5*u**h - 16*u**3 + 10*u**2 = 0.
0, 1, 2
Let o(w) be the first derivative of -150*w**6 + 696*w**5 - 781*w**4 - 464*w**3/3 - 8*w**2 - 89. Factor o(k).
-4*k*(k - 2)**2*(15*k + 1)**2
Let g = 1889 - 1888. Factor -2/3*i - 1/9*i**2 - g.
-(i + 3)**2/9
Let r(f) = -2*f**2 + 4*f + 236. Let o be r(0). Determine m so that 16*m**3 - 77 - o*m**2 + 225*m + 23 + 104*m**2 + 5*m**3 = 0.
2/7, 3
Solve -g**2 + 0 - g + 3/2*g**4 + 11/4*g**3 - 9/4*g**5 = 0 for g.
-2/3, 0, 1
Let t = 77/46 + -447/322. Factor -4/7*f - t*f**2 + 0.
-2*f*(f + 2)/7
Let l(t) be the second derivative of 0 + 5/42*t**7 - 2/3*t**6 + 31*t + 5/3*t**4 - 5/2*t**3 + 0*t**2 + 1/2*t**5. Let l(g) = 0. Calculate g.
-1, 0, 1, 3
Suppose 22 + 32*y - 3/2*y**2 = 0. Calculate y.
-2/3, 22
Let c(u) be the second derivative of 4/7*u**2 - 4/21*u**3 + 0 + 8*u + 2/35*u**5 - 1/105*u**6 - 1/14*u**4. Let c(q) = 0. Calculate q.
-1, 1, 2
Determine a so that -2*a**2 + 56*a - 16*a - 2592 - 25*a + 129*a = 0.
36
Let d be (-10)/(-40) + 55/20. Let a(c) be the third derivative of 0 - 1/60*c**5 + 1/24*c**4 + 0*c + 1/6*c**d - 6*c**2 - 1/120*c**6. Factor a(t).
-(t - 1)*(t + 1)**2
Factor 9/5*d - 2 + 1/5*d**2.
(d - 1)*(d + 10)/5
Let q be (((-12)/54)/1)/(-1 - 2/(-6)). Factor 1/3*c**2 - q*c + 0 + 11/3*c**4 + 4/3*c**5 + 3*c**3.
c*(c + 1)**3*(4*c - 1)/3
Let l be ((-114)/12 - -15) + (-15)/3. Factor -1/2*c**3 + l*c**2 - 1/2 + 1/2*c.
-(c - 1)**2*(c + 1)/2
Let s(o) = o**2 + o - 1. Let m(a) = 2. Let b(g) = -g + 1. Let w = 7 - 4. Let f be b(w). Let k(l) = f*s(l) - m(l). Factor k(n).
-2*n*(n + 1)
Let u(f) be the first derivative of -3*f**4/32 - f**3 - 27*f**2/16 + 27*f/4 + 559. Factor u(x).
-3*(x - 1)*(x + 3)*(x + 6)/8
Find h, given that -4*h**2 + h**2 - 495*h - 158*h + 125*h - 23232 + 0*h**2 = 0.
-88
Let v = -13405/9 + 1491. Let -v*i**3 + 0*i - 4/9*i**5 + 4/9*i**2 + 14/9*i**4 + 0 = 0. What is i?
0, 1/2, 1, 2
Suppose -5*f = -7 + 22. Let s be f*(-1)/(12/16). Find h, given that -125*h - 334*h**2 - 36 + 60*h**2 - 40*h**s - 8*h**3 - 168*h**3 - 49*h = 0.
-3/2, -1, -2/5
Let a be 6 - -5 - (1 - 2). Let x be 20/a + (2 - 3). Factor -2/3*h**5 + 4/3*h**2 + x - 4/3*h**3 + 2*h - 2*h**4.
-2*(h - 1)*(h + 1)**4/3
Suppose -4*q - 5*z + 4*z - 25 = 0, 0 = 2*q - z + 11. Let y be (q/9)/((-15)/5). Factor y*r**3 + 2/3*r**2 - 10/9*r - 2/9*r**4 + 4/9.
-2*(r - 1)**3*(r + 2)/9
Solve 84 + 12/5*m + 96/5*m**3 - 63*m**2 + 3/5*m**4 = 0.
-35, -1, 2
Let b = 3/263 - -257/526. Find z such that 3/4*z - 1/4*z**2 - b = 0.
1, 2
Let q(r) = -19*r - 323. Let k be q(-17). Find h such that 5/3*h**2 + 5*h**4 + 0 - 5/3*h**5 + k*h - 5*h**3 = 0.
0, 1
Let y be ((-116)/60 - -2)/(18/15). Let v(j) be the second derivative of 13*j + 0*j**3 - 1/3*j**2 + 0 + y*j**4. Suppose v(i) = 0. Calculate i.
-1, 1
Solve -13893*c**3 - 40*c + 4*c**2 + 13921*c**3 + 16 + 7*c - 20*c**4 + c + 4*c**5 = 0.
-1, 1, 2
Let g(q) be the first derivative of -5*q**3/3 + 10*q**2 + 25*q - 35. Find w, given that g(w) = 0.
-1, 5
Let j(a) be the third derivative of -a**7/1155 + a**6/165 - a**5/55 + a**4/33 - a**3/33 + 11*a**2. Determine q, given that j(q) = 0.
1
Let n(k) be the third derivative of -k**8/560 - k**7/280 + k**6/24 - 3*k**5/40 - 23*k**3/6 - 15*k**2. Let r(p) be the first derivative of n(p). Solve r(s) = 0.
-3, 0, 1
Let s(r) = r**3 + 25*r**2 - 44*r + 1124. Let n be s(-28). Suppose 1/8*i**n + 3*i**2 - 4*i + 2 - i**3 = 0. What is i?
2
Let j(s) be the second derivative of 3/7*s**2 - 3/140*s**5 + 1/7*s**4 + 0 - 3*s - 5/14*s**3. Factor j(p).
-3*(p - 2)*(p - 1)**2/7
Let p(q) = -q - 1. Let x(h) = -3*h**3 + 15*h**2 - 6*h + 6. Let t(c) = -6*p(c) - x(c). Factor t(v).
3*v*(v - 4)*(v - 1)
Let y(j) = j**3 - 78*j**2 + 617*j + 278. Let u be y(69). Factor -6/5*v**u + 0 - 2/5*v**3 - 4/5*v.
-2*v*(v + 1)*(v + 2)/5
Let g(v) = 4*v**5 + 5*v**3 + 5*v**2 - 3*v + 1. Let d(a) = -3*a**5 + a**4 - 4*a**3 - 4*a**2 + 3*a - 1. Let q(j) = -6*d(j) - 4*g(j). Solve q(k) = 0 for k.
-1, 1
Let d(r) = 2*r**3 + 5*r**2 + 12*r - 3. Let b(v) = -3*v**3 - 9*v**2 - 25*v + 5. Let s(k) = 6*b(k) + 10*d(k). Factor s(n).
2*n*(n - 5)*(n + 3)
Factor -12/7*h**2 - 64/7 - 1/7*h**3 - 48/7*h.
-(h + 4)**3/7
Let p(a) be the second derivative of 2*a**7/147 + 2*a**6/105 - a**5/35 - a**4/21 - 21*a + 1. Factor p(c).
4*c**2*(c - 1)*(c + 1)**2/7
Suppose -5*s + 2939*q - 2936*q + 37 = 0, 2*s = -4*q - 32. What is u in 2/3*u**4 - 14/3*u**3 + 10*u**s + 0 - 6*u = 0?
0, 1, 3
Let x(s) be the first derivative of -s**6/60 + 2*s**5/15 + 21*s**2/2 - 10. Let t(l) be the second derivative of x(l). Factor t(f).
-2*f**2*(f - 4)
Let j(d) = -d**3 - 5*d**2 - 4*d + 1. Let p be j(-4). Let f(w) = 17*w - 1. Let s be f(p). Let s*z**2 + 235*z**3 - 231*z**3 + 12*z - 3 + 3 = 0. Calculate z.
-3, -1, 0
Let y(p) be the second derivative of -27*p**5/40 - 7*p**4/8 + p**3/2 - 94*p. What is c in y(c) = 0?
-1, 0, 2/9
Let p(t) be the first derivative of 3*t**8/560 - t**7/56 - t**6/120 + t**5/8 - t**4/4 - 37*t**3/3 - 11. Let v(a) be the third derivative of p(a). Factor v(j).
3*(j - 1)**2*(j + 1)*(3*j - 2)
Let a(w) be the third derivative of -w**6/240 + w**5/96 + 7*w**4/192 - w**3/24 + 613*w**2. Suppose a(d) = 0. What is d?
-1, 1/4, 2
Let l(g) be the third derivative of g**8/1176 + 2*g**7/735 - g**6/140 - 2*g**5/105 + g**4/21 - 5*g**2 - 3*g. Let l(i) = 0. Calculate i.
-2, 0, 1
Let g be (-1)/((-12)/8)*12. Factor -10*o**3 - 16*o**2 - g*o + 4*o**4 + 12*o**4 - 18*o**4.
-2*o*(o + 1)*(o + 2)**2
Let n(j) = 0 + 2 - 53*j + 52*j - 17. Let x be n(-20). Factor 6*h**4 + 10*h**3 + 3*h**x - 6*h**5 - 13*h**3.
-3*h**3*(h - 1)**2
Let r(d) be the third derivative of -d**7/315 + d**6/45 + d**5/90 - d**4/9 + 6*d**2 + 2. Solve r(k) = 0 for k.
-1, 0, 1, 4
Let 404*k**3 - 141*k**3 - 133*k**3 - 133*k**3 - 12*k - 12*k**2 = 0. What is k?
-2, 0
Let k(b) be the third derivative of 0*b + 0 + 4/5*b**3 + 1/20*b**5 + 7/20*b**4 + 20*b**2. Solve k(d) = 0 for d.
-2, -4/5
Let w(d) be the second derivative of 2*d**6/105 + 6*d**5/35 + 3*d**4/7 - 20*d. Factor w(j).
4*j**2*(j + 3)**2/7
Let m(p) = 9*p**3 + 40*p**2 + 128*p + 133. Let d(k) = 10*k**3 + 40*k**2 + 128*k + 134. Let n(y) = 5*d(y) - 6*m(y). Find i, given that n(i) = 0.
-4, -2
Let t(f) = 5*f**3 - 21*f**2 + 6*f + 36. Let l(m) = 15*m**3 - 64*m**2 + 19*m + 109. Let o(u) = -4*l(u) + 11*t(u). Factor o(k).
-5*(k - 4)*(k - 2)*(k + 1)
Let k(g) be the first derivative of g**6/2 - 27*g**5/5 + 33*g**4/2 - 48*g**2 - 81. Suppose k(x) = 0. Calculate x.
-1, 0, 2, 4
Let b be 0 + 44/7 + (-62)/217. Let o(t) be the second derivative of 1/42*t**3 + 0 + 0*t**4 - 1/140*t**5 + 0*t**2 - b*t. Factor o(k).
-k*(k - 1)*(k + 1)/7
Find z, given that -520/7*z**5 + 922/7*z**3 + 678/7*z**4 - 52*z**2 + 16/7 - 72/7*z = 0.
-1, -1/4, 2/13, 2/5, 2
What is o in -4/7*o**4 - 4/7*o**3 + 44/7*o**2 + 36/7*o - 72/7 = 0?
-3, -2, 1, 3
Let q = -14 + 32. Let x(m) = -3*m**3 - 29*m**2 + 18*m - 13. Let u(w) = w**3 + w**2 + 1. Let a(d) = q*u(d) + 2*x(d). What is t in a(t) = 0?
1/3, 1, 2
Let a(u) = 3*u**2 - 11*u - 20. Let i be a(5). Let k(t) be the third derivative of -1/180*t**5 + i*t - 5*t**2 + 0 + 1/9*t**3 - 1/72*t**4. Solve k(g) = 0.
-2, 1
Let n(p) = 6*p**2 - 6*p. Let r(h) = 12*h**2 - 11*h. Let v(y) = -7*n(y) + 4*r(y). Let u(z) = -z**2 + 2*z. Let j(o) = -2*u(o) - v(o). Find t such that j(t) = 0.
-1/2, 0
Suppose -3*k - 4*a - 8 - 2 = 0, 8 = -2*a. Find x, given that x**3 - 10*x**2 + 19*x**3 + 85*x**k + 20 - 80*x - 20*x**4 = 0.
-2, 1/2, 2
Let v(a) = 17*a**2 + 62*a + 15. Let s(g) = -205*g**2 - 745*g - 180. Suppose u - 8*f = -3*f - 20, 4*f + 12 = 0. Let o(q) = u*v(q) - 3*s(q). Factor o(i).
5*(i + 3)*(4*i + 1)
Let g(z) be the first derivative of z**5/20 - z**4/4 - z**2/2 - 3. Let y(h) be the second derivative of g(h). Factor y(o).
3*o*(o - 2)
Let j(h) be the third derivative of h**5/20 + 27*h**4/4 + 9*h**2 - 13. Determine o so that j(o) = 0.
-54, 0
Let k(o) be the second derivative of o**6/300 + o**5/20 + o**4/6 - o**3/6 - 21*o**2/20 + 149*o - 1. Let k(f) = 0. What is f?
-7, -3, -1, 1
Determine w so that 0 + 4/7*w**3 + 0*w + 1/7*w**4 + 3/7*w**2 = 0.
-3, -1, 0
Let z = -812 + 816. Let l(o) be the first derivative of 8 - o**3 - 3/8*o**z - 3/4*o**2 + 