*g**l + 83*g**2.
-5*g**2
Let b(q) = 2*q**2 + 5 - 8 + 8*q - q. Let w(g) = 10*g**2 + 34*g - 16. Let h(u) = 14*b(u) - 3*w(u). Solve h(i) = 0.
-3, 1
Suppose 0 = 60*v - 64*v + 12. Let f(o) be the second derivative of -2*o + 1/90*o**5 + 0*o**v + 1/54*o**4 + 0 + 0*o**2. Determine r, given that f(r) = 0.
-1, 0
Let z(s) = -4*s + 1. Let p = 4 + -5. Let o be z(p). Factor 8*k**2 + k**o - 4*k**2 - k**3 - 4*k**2.
k**3*(k - 1)*(k + 1)
Let z(g) be the second derivative of -1/4*g**2 + 7/80*g**6 + 0 - 1/3*g**3 - 17/96*g**4 - 12*g + 7/160*g**5 + 3/112*g**7. Solve z(t) = 0.
-1, -2/3, 1
Let q = -3500 + 3500. Factor q*p - 1/3*p**3 + 2/3*p**4 + 1/3*p**5 - 2/3*p**2 + 0.
p**2*(p - 1)*(p + 1)*(p + 2)/3
Suppose -69 + 393 = 6*i. Factor 9*c**2 + 3*c**4 - 91*c**3 + 49*c**3 + i*c**3.
3*c**2*(c + 1)*(c + 3)
Let m = 114 + -68. Suppose 4*v + 19*v = m. Factor 4/7*u - 1/7 + 5/7*u**v.
(u + 1)*(5*u - 1)/7
Let t(u) be the second derivative of -1/2*u**2 - 5/48*u**4 - 20*u + 1/2*u**3 + 0. Determine m so that t(m) = 0.
2/5, 2
Suppose -h = -3*h + 4. Let u = -592 + 2962/5. Let -3/5*j**5 + 7/5*j**4 - 6/5*j**h - 1/5 - u*j**3 + j = 0. Calculate j.
-1, 1/3, 1
Let y be 2 + (-2 - -1) + 28/10. Let x = -52/15 + y. Find s such that -x*s**2 + 0 + 0*s = 0.
0
Let k(i) be the second derivative of -i**7/21420 - i**6/6120 - 4*i**4/3 - 20*i. Let y(q) be the third derivative of k(q). Factor y(j).
-2*j*(j + 1)/17
Let c = 619 + -614. Let z(u) = 2*u**2 - 4*u - 2. Let x be z(3). Suppose -20/13*p**2 - 2/13 - 10/13*p**x - 2/13*p**c - 20/13*p**3 - 10/13*p = 0. Calculate p.
-1
Let o(r) be the second derivative of -r**7/168 - r**6/15 - 5*r**5/16 - 19*r**4/24 - 7*r**3/6 - r**2 + r - 45. Solve o(a) = 0 for a.
-2, -1
Let i be (2/(-42))/((-40 - -22)/324). Determine b, given that 2*b**2 - i*b**3 + 0 - 4/7*b = 0.
0, 1/3, 2
Let n(y) = 11*y**2 + 140*y. Let r(p) = -2*p**2. Let j(g) = n(g) + 6*r(g). Factor j(t).
-t*(t - 140)
Solve -18 + 4*n - 2 + n**2 + n + 14*n + 0*n = 0 for n.
-20, 1
Let y(t) = 3 - 7 + t**2 + 0 + 5*t. Let r be y(-6). Factor 2*g**r + 18*g - 20*g - 2*g**4 + 0*g**4 + 2*g**3.
-2*g*(g - 1)**2*(g + 1)
Let y(x) be the first derivative of -x**3 - 3*x**2 - 292. Suppose y(j) = 0. What is j?
-2, 0
Let s(i) be the first derivative of 18*i**5/5 - 33*i**4/4 - 26*i**3 + 66*i**2 + 24*i + 537. Determine b so that s(b) = 0.
-2, -1/6, 2
Suppose 0*u = -3*u. Let t = 3 - u. Let 114*b + b**3 + 0*b**t - 116*b + 0*b**2 + b**2 = 0. Calculate b.
-2, 0, 1
Let x(c) be the first derivative of -21*c**5/5 + 93*c**4/4 - 29*c**3 - 21*c**2/2 + 36*c - 43. Let x(r) = 0. What is r?
-4/7, 1, 3
Let k = 17/133 - -2/133. Let r(u) be the first derivative of -6 - 3/14*u**4 + 18/35*u**5 - 10/21*u**3 - k*u**2 + 0*u. Determine c, given that r(c) = 0.
-1/3, 0, 1
Let u(b) be the first derivative of -b**5 + 65*b**4/4 + 145*b**3/3 + 75*b**2/2 - 62. Solve u(f) = 0.
-1, 0, 15
Let p(o) = -9*o**2 + 3*o + 3. Let z(m) = -m**3 + m + 1. Suppose 9 = 4*w - w. Let c(b) = w*z(b) - p(b). Find d such that c(d) = 0.
0, 3
Let y be 32*29/14848 - (-62)/32. Solve -1/4*o**3 + 1/8*o**y + 0 + 0*o + 1/8*o**4 = 0.
0, 1
Let w(j) be the second derivative of -3*j**5/100 - 3*j**4/10 - 9*j**3/10 - 6*j**2/5 - 18*j. Suppose w(a) = 0. What is a?
-4, -1
Factor 56*w**2 - 26/3*w**3 + 119/3 + 1/3*w**4 - 262/3*w.
(w - 17)*(w - 7)*(w - 1)**2/3
Let i(d) be the second derivative of -1/12*d**4 + 7*d + d**2 + 1/6*d**3 + 0. Find m, given that i(m) = 0.
-1, 2
Factor -5*k**2 - 30*k - 124 + 249 + 3*k**2 - 125.
-2*k*(k + 15)
Let c be (104/24 - 5)/(18/(-81)). Factor -2/11*p**2 + 0 + 2/11*p**c + 0*p.
2*p**2*(p - 1)/11
Let o(g) = g**4 + 16*g**3 - 125*g**2 + 360*g - 402. Let s(j) = -6*j**4 - 79*j**3 + 627*j**2 - 1800*j + 2011. Let r(u) = -11*o(u) - 2*s(u). Factor r(m).
(m - 5)**2*(m - 4)**2
Determine c, given that 98*c**4 + 17*c**5 - 56*c**2 - 18*c**4 + 6*c**5 + 21*c**5 - 192*c**3 - 24 + 148*c = 0.
-3, -1, 2/11, 1
Suppose -92*s + 88*s + 16 = 0. Let g(n) be the third derivative of 0*n**3 + 1/30*n**5 + 0 + 0*n - 1/3*n**s - 2*n**2. Let g(h) = 0. What is h?
0, 4
Let a(u) be the first derivative of -35*u**4/16 - 65*u**3 - 955*u**2/8 - 105*u/2 + 442. Determine i, given that a(i) = 0.
-21, -1, -2/7
Let r(h) be the first derivative of h**6/1620 + h**5/540 - h**4/54 - 19*h**3/3 - 18. Let g(d) be the third derivative of r(d). Find x such that g(x) = 0.
-2, 1
Let k be ((-18)/21)/3 - (6 - 88/14). Let -1/2*d**3 - 3/2*d**2 + k + 0*d = 0. What is d?
-3, 0
Let q(c) = -c**3 + 7*c**2 + c - 5. Let y be q(7). Let k(g) = 2*g - 31. Let b be k(17). Find u such that -7*u**2 + 12*u**2 + 5*u**y - 2*u**3 - 3*u**b = 0.
0, 2
Factor -1/5*x**3 + 4/5*x**2 + 3*x - 18/5.
-(x - 6)*(x - 1)*(x + 3)/5
Let g = -84513/7 - -11951. Let a = -122 - g. Factor 32/7*p + a*p**5 + 38/7*p**3 + 2*p**4 + 8/7 + 50/7*p**2.
2*(p + 1)**3*(p + 2)**2/7
Let x(s) = s**3 + 3*s**2 - s - 1. Let r be x(-3). Determine v, given that -219*v**4 + 183*v**4 + 6 - 27*v + 15*v**5 + 12*v**3 + 0*v**5 + 30*v**r = 0.
-1, 2/5, 1
Let x = 41 - 21. Suppose -6*j + j = -x. Let m + j*m**3 + m - 14*m + 10 - 2 = 0. Calculate m.
-2, 1
Suppose -3*r + 4 = -8. Let b be -2 + 4 + r + -3. Determine m so that 0*m - m**b + 1 + 1 + 4*m**2 + 0*m - 5*m = 0.
1, 2
Suppose -5*x = 5*n - x - 2, -1 = -n - x. Let t(a) = 7*a**3 - 7*a**2 + 3*a + 2. Let k(b) = -3*b**3 + 3*b**2 - b - 1. Let q(m) = n*t(m) - 5*k(m). Factor q(j).
(j - 1)**2*(j + 1)
Suppose -5*x + 25 = 0, 4*t + 4*x = 8 + 24. Suppose -3*p + 2*c + 2 = 0, 5*p - 5*c - 2 = t. Factor 4*l**2 + l - 9*l - 12 + p*l.
4*(l - 3)*(l + 1)
Let f(b) = -2*b**2 + 8*b - 13. Let a(k) = -6 - k**2 + 0*k**2 + 12*k - 8*k. Let g(o) = -7*a(o) + 3*f(o). Find j such that g(j) = 0.
1, 3
Factor 28/3*u - 1/3 - 196/3*u**2.
-(14*u - 1)**2/3
Let d(s) be the second derivative of s**4/24 - 15*s**3/4 - 165*s. Factor d(r).
r*(r - 45)/2
Let f(o) = 5*o**2 + 29*o - 30. Let a(t) be the third derivative of 7*t**5/6 + 135*t**4/8 - 70*t**3 + 20*t**2. Let b(m) = -4*a(m) + 55*f(m). Factor b(y).
-5*(y - 1)*(y + 6)
Let h be -6 - (5/((-10)/26) + 7). Factor 3/5*p**2 - 3/5*p + 3/5*p**3 - 3/5*p**4 + h.
-3*p*(p - 1)**2*(p + 1)/5
Let v = -63 - -10. Let z = 55 + v. Factor 0 + 2/11*w + 2/11*w**z.
2*w*(w + 1)/11
Let y(b) = -b**4 - b**3 - b**2 + 1. Let v(k) = 3*k**4 - 134 + 14*k**2 + 16*k**3 + 4*k**4 - 5*k + 124. Let c(r) = -4*v(r) - 44*y(r). Factor c(s).
4*(s - 1)**2*(s + 1)*(4*s - 1)
Suppose 22 = 3*o - 4*u, 2*o + 2*u = -2 - 2. Factor 16 - 47*k - 15*k - 214*k**o - 2*k + 242*k**2.
4*(k - 2)*(7*k - 2)
Let p(q) = -5*q + 15. Let s be p(0). Let 250 - 50*a**3 + 147*a**2 + s*a**3 + 213*a**2 - 975*a = 0. What is a?
2/7, 5
Let q(g) be the first derivative of -5/14*g**2 + 0*g + 13 + 1/21*g**3. Factor q(b).
b*(b - 5)/7
Suppose -694 = -10*y - 664. Let f(m) be the first derivative of -2 + 0*m - 2/15*m**y + 0*m**2. Factor f(a).
-2*a**2/5
Factor 23/5*m + 1/5*m**2 + 0.
m*(m + 23)/5
Let w be 56/75 + (0 - (-12)/(-18)). Let r(o) be the first derivative of 0*o**2 - 1/5*o**4 + w*o**5 + 6 + 0*o + 2/15*o**3. Factor r(d).
2*d**2*(d - 1)**2/5
Let g(x) be the third derivative of -x**7/315 + x**6/135 - 185*x**2. Find r such that g(r) = 0.
0, 4/3
Let j(a) be the second derivative of 1/105*a**6 + 0*a**2 - 1/21*a**4 - 1/70*a**5 + 5*a + 0*a**3 + 0. Let j(n) = 0. Calculate n.
-1, 0, 2
Let z(c) be the third derivative of -c**5/30 - c**4/6 + 8*c**3/3 - 208*c**2. Let z(h) = 0. Calculate h.
-4, 2
Let v(s) = 2*s**2 - 75*s + 536. Let w be v(28). Solve 3/2 - 9/4*c**w + 3/4*c**2 + 15/4*c - 15/4*c**3 = 0.
-1, -2/3, 1
Suppose 0 = 4*p - 8, -13 = -4*k + p - 3. Suppose k*h = -3*b, -b - 3*b = -5*h + 18. Factor -9*v**3 + 2*v**2 + 13*v**h - 5*v**2 + 5*v**2 - 6*v.
-3*v*(v - 1)*(3*v - 2)
Let p(j) = -10*j**2 - j + 21. Let w be p(-9). Let y be (-104)/w - 28/(-15). Let -1/3*n**y + 2/3 + 1/3*n = 0. Calculate n.
-1, 2
Let o(g) = 16*g**3 - 7*g**2 - 13*g + 4. Let s(w) = 7*w**3 - 3*w**2 - 6*w + 2. Let m(b) = 6*o(b) - 14*s(b). Factor m(h).
-2*(h - 1)**2*(h + 2)
Let q(a) be the second derivative of -a**4/6 + 11*a**3 - 32*a**2 - 174*a. Factor q(u).
-2*(u - 32)*(u - 1)
Solve -10*b + 4/5 + 24/5*b**2 = 0 for b.
1/12, 2
Let i be (-13)/(-4) - (-1 + 4). Let t be (-48)/(-216) - (82/(-36) + 1). Let -t*q - q**3 - 9/4*q**2 - i = 0. Calculate q.
-1, -1/4
Suppose 0 = -0*r + 5*r - 5*c - 5, -2*c - 6 = -3*r. Suppose 4*g - 32 - 8 = 0. Factor 4*d**3 - 3*d + g*d**3 - 11*d + 10