 1)**2*(l + 2)**2/5
Let r(s) = 3*s**4 + 60*s**3 + 72*s**2 + 51*s + 6. Let q(b) = -2*b**4 - 30*b**3 - 36*b**2 - 25*b - 3. Let v(y) = 15*q(y) + 7*r(y). Solve v(o) = 0 for o.
-1, -1/3
Let s = -130 - -135. Suppose 4*g - 3*j + 5 = 2*j, 0 = -s*g + 5*j - 5. Solve g - 1/2*r**4 + 0*r - 1/6*r**3 + 1/3*r**2 = 0.
-1, 0, 2/3
Let m(z) = 31*z**2 + 590*z + 24. Let o be m(-19). Determine d so that 0 + 7/4*d**o - 4*d**4 - 3/4*d**3 - d + 4*d**2 = 0.
-1, 0, 2/7, 1, 2
Let v(j) be the first derivative of -j**3/5 + 9*j**2 - 168*j/5 - 579. Factor v(n).
-3*(n - 28)*(n - 2)/5
Let v(i) be the third derivative of -i**5/45 + 5*i**4/9 + 34*i**2. Determine a, given that v(a) = 0.
0, 10
Factor -188/15*t + 2/15*t**2 + 4418/15.
2*(t - 47)**2/15
Find l such that 0 - 32/3*l**3 + 578/3*l + 1/3*l**4 + 221/3*l**2 = 0.
-2, 0, 17
Determine d so that -2*d**4 + 4261*d - 12*d**2 + 8 - 4265*d + d**4 + 5*d**4 + 4*d**3 = 0.
-2, -1, 1
Let c(g) = -5*g**3 - 20*g**2 + 10*g + 10. Let j(d) = d**4 + d**2 - d. Let i(x) = -c(x) - 5*j(x). Find u, given that i(u) = 0.
-1, 1, 2
Let n(o) be the first derivative of -o**6/72 - o**5/24 + 13*o**3/3 + 8. Let t(z) be the third derivative of n(z). Solve t(m) = 0.
-1, 0
Suppose 0 = -4*x + 5*r + 6, -2*x - 2*r + 12 = 0. Let u be (-1)/4 + (-12)/(-16). Find n, given that -1/2*n**x + 0 - 3/4*n**3 + 3/4*n**2 + u*n = 0.
-2, -1/2, 0, 1
Let p(m) = -3*m**4 + 7*m**3 - 13*m**2 - 23*m - 24. Let k(u) = -4*u**4 + 8*u**3 - 14*u**2 - 23*u - 27. Let b(f) = -4*k(f) + 5*p(f). Factor b(g).
(g - 3)*(g + 1)**2*(g + 4)
Let t(k) be the first derivative of -5*k**3/3 - 3*k**2/2 + 4. Let m = -29 + 25. Let h(w) = -w**2 - w. Let j(n) = m*h(n) + t(n). Solve j(f) = 0 for f.
0, 1
Let i be 4/(-12) - (-4)/3. Let q = -2 + 8. Find l, given that -5*l**4 + i - 6*l**2 + 16*l**2 - q = 0.
-1, 1
Let c(k) be the second derivative of 2/75*k**6 + 16/15*k**3 - 48*k + 6/25*k**5 + 0*k**2 + 4/5*k**4 + 0. Factor c(o).
4*o*(o + 2)**3/5
Let j be 70/20*(-162)/(-14). Let o = j + -40. Factor -5/2*k**4 + 0 - 4*k**3 - 2*k**2 - o*k**5 + 0*k.
-k**2*(k + 1)*(k + 2)**2/2
Suppose -96/11*h**2 - 96/11 + 24/11*h**3 - 2/11*h**4 + 160/11*h = 0. What is h?
2, 6
Let w = 9454 - 9451. Let -2*y + 0 + 3/2*y**4 + 6*y**2 - 11/2*y**w = 0. Calculate y.
0, 2/3, 1, 2
Let g(r) be the third derivative of -r**8/84 + 11*r**7/168 + r**6/24 + 5*r**3/6 - 15*r**2. Let s(y) be the first derivative of g(y). Let s(z) = 0. Calculate z.
-1/4, 0, 3
Let f be (-2 + (-24)/(-2))*6/15. Let 4*j**2 + f + 26*j - 14*j**2 + 0 - 20*j = 0. Calculate j.
-2/5, 1
Let j = 1127 - 1125. Suppose 3/7*i**4 + 3/7*i**3 + 0*i - 3/7*i**5 - 3/7*i**j + 0 = 0. What is i?
-1, 0, 1
Let i = -77 + 2. Let r = -47 - i. Let 3*j**2 - 30*j - j**2 + r*j = 0. What is j?
0, 1
Factor -3*m**3 - 138*m - 54*m + 177 - 152*m + 72*m**2 + 92*m + 63.
-3*(m - 20)*(m - 2)**2
Factor 0 + 0*d**2 + 4/7*d**5 + 16/7*d**4 + 16/7*d**3 + 0*d.
4*d**3*(d + 2)**2/7
Let t(d) = -3*d**3 - 5*d**2 + 29*d + 29. Let z(o) = 6*o**3 + 11*o**2 - 59*o - 59. Let j(b) = -5*t(b) - 2*z(b). Let j(x) = 0. Calculate x.
-3, -1, 3
Let f be 1 + 3 + 96/(-28). Let v(r) = r**3 + 4*r**2 + r - 4. Let b be v(-3). Let -2/7*c**b + 2/7*c + f = 0. Calculate c.
-1, 2
Let s(g) be the third derivative of g**5/12 - 125*g**4/12 + 3125*g**3/6 + 3*g**2 + 6*g. Factor s(w).
5*(w - 25)**2
Let g be 24/8 - (-1)/(-1). Let w = 7 - g. Find d, given that 3*d**4 + d - w*d**4 - 3*d**2 + 5*d**4 + 3*d**3 - 4*d**4 = 0.
0, 1
Let z(c) be the second derivative of c**5/210 + c**4/21 + c**3/7 + 4*c**2 - 8*c. Let m(q) be the first derivative of z(q). Solve m(o) = 0.
-3, -1
Let k(z) be the second derivative of -1/15*z**6 + 0 - 1/5*z**5 + 23*z + 2/3*z**3 + 1/6*z**4 + 0*z**2. Factor k(r).
-2*r*(r - 1)*(r + 1)*(r + 2)
Let s(a) be the first derivative of a**6/14 - 24*a**5/7 + 171*a**4/4 + 40*a**3/7 - 600*a**2/7 + 639. Suppose s(h) = 0. Calculate h.
-1, 0, 1, 20
Let i(t) be the first derivative of -2*t**3/9 + 13*t**2/6 - 2*t - 6. Solve i(g) = 0 for g.
1/2, 6
Let z be 2/(-10) + (-6 - (-217)/35). Factor 1/6*n**3 + z + 1/6*n**2 + 0*n.
n**2*(n + 1)/6
Let s(z) be the first derivative of -z**5/30 + z**2/2 - z + 6. Let n(h) be the first derivative of s(h). Let v(r) be the first derivative of n(r). Factor v(b).
-2*b**2
Let l = 47/43 - -1741/6708. Let j = 17/12 + l. Determine s so that -44/13*s**3 - 2/13 - 6/13*s**5 - j*s**2 - 2*s**4 - 14/13*s = 0.
-1, -1/3
Factor 15*w**3 - 284*w**4 + 176*w**4 - 3*w**2 - 2*w**2 + 153*w**4 + 25*w**5.
5*w**2*(w + 1)**2*(5*w - 1)
Let o(x) be the second derivative of -5*x**8/1344 + x**6/32 + x**5/24 + 15*x**2/2 + 3*x + 2. Let k(i) be the first derivative of o(i). Solve k(u) = 0.
-1, 0, 2
Let i be -2 + 5/135 + 2. Let o(x) be the second derivative of 0*x**2 + 1/90*x**5 + 0 + 1/54*x**4 - 1/135*x**6 + 3*x - i*x**3. Factor o(t).
-2*t*(t - 1)**2*(t + 1)/9
Let t(d) be the third derivative of 1/110*d**5 + 0*d**6 + 0*d - d**2 + 1/22*d**3 - 1/2310*d**7 + 0 - 1/33*d**4. Solve t(b) = 0.
-3, 1
Let k = -34 - -40. Let t(c) = -c + k*c - 9*c - 12 + 5*c**2. Let p(n) = -3*n**2 + 3*n + 8. Let v(o) = 8*p(o) + 5*t(o). Solve v(g) = 0.
-2
Let x(m) be the first derivative of 3/8*m**4 + 5/3*m**3 - 1/20*m**5 - 1/120*m**6 + 5 + 0*m + 0*m**2. Let p(d) be the third derivative of x(d). Factor p(c).
-3*(c - 1)*(c + 3)
Let v(a) be the first derivative of -a**5/45 - a**4/36 + a**3/9 + 5*a**2/18 + 2*a/9 + 49. Factor v(t).
-(t - 2)*(t + 1)**3/9
Let h(p) be the first derivative of -p**4/2 + 4*p**3/3 + 50. Solve h(i) = 0.
0, 2
Let h(s) be the third derivative of -3*s**2 + 0 + 1/10*s**6 + 2/35*s**7 + 0*s + 0*s**4 + 0*s**3 + 1/84*s**8 + 1/15*s**5. Factor h(c).
4*c**2*(c + 1)**3
Suppose 5*f - 9*f = -16. Let c be (f + -6)*(20/(-6) + 3). Find h such that c*h**4 + 2*h**2 + 0 - 2/3*h - 2*h**3 = 0.
0, 1
Let n(s) be the third derivative of 1/3*s**3 - 1/18*s**4 + 0 + 0*s + 1/270*s**5 + 11*s**2. Let n(c) = 0. What is c?
3
Solve -8/7*t**3 - 74/7 + 32*t + 290/7*t**2 = 0.
-1, 1/4, 37
Suppose -3*o = 3*c - 5*c + 7, 3*o = 5*c - 13. Let w = 1 - o. Factor 6*r**2 - 5*r**2 - w + 1.
(r - 1)*(r + 1)
Let n = 27 - 25. Factor -2*j**n + 2*j - 2*j + 60*j**4 - 58*j**4.
2*j**2*(j - 1)*(j + 1)
Find t, given that -128/3 - 2/3*t**3 - 136/3*t - 40/3*t**2 = 0.
-16, -2
Factor 225*y - 45*y**2 + 7*y**3 - 8*y**3 - 375 + 3*y**3 + y**3.
3*(y - 5)**3
Suppose 108 = -65*s + 64*s. Let l be (7/((-294)/s))/((-8)/(-14)). What is q in 1 - l*q - 7*q**3 + 8*q**2 - 1/2*q**5 + 3*q**4 = 0?
1, 2
Let w(m) = 2*m**2 + 2*m - 2. Let b be w(-2). Let o = -2/541 + 1108/7033. Factor -32/13 - o*k**b + 16/13*k.
-2*(k - 4)**2/13
Find n, given that 4*n**2 - 2*n**2 - 79*n**4 - 1 - 69*n**4 + 147*n**4 = 0.
-1, 1
Let v be 3*(4/12 + 0). Let c be v*2/(-4)*-24. Factor -2*p**2 - c + 12 - 2*p.
-2*p*(p + 1)
Suppose -4*b + 13 = 5. Factor -5 + 23*x**2 + b - 20*x**2.
3*(x - 1)*(x + 1)
Let v(r) = 2*r + r**2 - r**3 - 3*r - 1 - 2*r**2. Let y(q) = q**4 + 5*q**3 + 4*q**2 + 4*q + 4. Let x = 4 - 3. Let p(a) = x*y(a) + 4*v(a). Factor p(u).
u**3*(u + 1)
Let a(i) = -12*i**3 + 315*i**2 - 3024*i + 4719. Let m(q) = -3*q**3 + 78*q**2 - 756*q + 1180. Let c(k) = 4*a(k) - 15*m(k). Solve c(t) = 0 for t.
2, 14
Let u be (2/(-13) - ((-15972)/143)/11)/6. Determine a so that 4/3*a - u*a**2 + 1/3 = 0.
-1/5, 1
Let c(l) be the first derivative of 1/21*l**3 - 5/7*l**2 + 22 + 9/7*l. Factor c(g).
(g - 9)*(g - 1)/7
Factor -10/3*c**2 - 1/6*c**4 + 0 - 2*c - 3/2*c**3.
-c*(c + 1)*(c + 2)*(c + 6)/6
Let c(a) be the first derivative of a**5 - 15*a**4/4 + 5*a**3/3 + 15*a**2/2 - 10*a - 77. Factor c(j).
5*(j - 2)*(j - 1)**2*(j + 1)
Let i(h) be the third derivative of -h**9/756 + h**8/420 + h**7/105 - 11*h**3/6 - 9*h**2. Let b(t) be the first derivative of i(t). Factor b(j).
-4*j**3*(j - 2)*(j + 1)
Let p(y) be the second derivative of 3*y**5/80 + 9*y**4/4 + 81*y**3/2 - 9*y - 1. Let p(i) = 0. What is i?
-18, 0
Let a = 21 - 19. Let l be a/3*6 - -14. Find w, given that -10*w**2 + 2*w**3 - w + 4*w + l + 3*w + 0*w**3 = 0.
-1, 3
Suppose 0 = 5*l - 3*q - 13 - 26, 5*l - 2*q = 36. Let x be (4 + -3)/(2/l). Find v such that -4*v - v**2 + 3*v**3 + 1 - 2*v**x + 3*v = 0.
-1, 1
Let v(k) be the third derivative of k**6/420 + 37*k**5/210 - 11*k**4/12 + 13*k**3/7 - 4*k**2 - 28. Determine u, given that v(u) = 0.
-39, 1
Let y(b) be the second derivative of -2*b**7/189 - 22*b**6/135 - 2*b**5/9 + 106*b**4/27 - 266*b**3/27 + 98*b**2