5 + a**3 + a**2 - 5*a**5 + 3*a**4 - 4*a**3 = 0.
0, 1
Factor -3/4*a**3 + 57/2*a + 0 - 169/4*a**2.
-a*(a + 57)*(3*a - 2)/4
Let t(h) be the second derivative of h**6/10 - 9*h**4/4 + 2*h + 58. Factor t(k).
3*k**2*(k - 3)*(k + 3)
Let g(n) be the second derivative of -5/12*n**4 + 3*n + 0 + 5/3*n**3 + 15/2*n**2. Factor g(y).
-5*(y - 3)*(y + 1)
Let i(j) be the first derivative of j**6/3060 + j**5/510 + 16*j**3/3 + 13. Let r(z) be the third derivative of i(z). Solve r(y) = 0.
-2, 0
Factor -4*s**4 - 21255*s**2 + 3511808 - 31011*s**2 + 904*s**3 + 1617280*s - 15222*s**2.
-4*(s - 76)**3*(s + 2)
Solve -8*c**2 - 5*c - 4*c**3 + 6*c + 14*c**2 - 3*c**2 = 0 for c.
-1/4, 0, 1
Let w(q) be the second derivative of -q**7/84 + q**5/20 - q**3/12 - 120*q. Determine g so that w(g) = 0.
-1, 0, 1
Let j(l) be the second derivative of l**7/112 - 7*l**6/40 + 57*l**5/40 - 25*l**4/4 + 16*l**3 - 24*l**2 + 490*l. Factor j(o).
3*(o - 4)**2*(o - 2)**3/8
Let t(c) = -4*c**2 - 149*c - 180. Let a be t(-36). Factor 2/5*o**2 + a + 4/5*o.
2*o*(o + 2)/5
Let q(j) be the first derivative of j**6/21 - j**5/35 - 5*j**4/28 + j**3/21 + 3*j**2/14 - 73. Suppose q(o) = 0. What is o?
-1, 0, 1, 3/2
Let y(r) be the second derivative of -1/18*r**4 - 5/2*r**2 + 4*r - 2/9*r**3 - 1/180*r**5 + 0. Let t(s) be the first derivative of y(s). What is d in t(d) = 0?
-2
Suppose h - 4 = -2*n, n + 10 = 3*h + 6*n. Let l be (-20)/(-6) - (h - (-3 - -1)). Let 2/3*i**4 + 2/3 - l*i**2 + 4/3*i**3 - 2/3*i**5 - 2/3*i = 0. Calculate i.
-1, 1
Let s(i) be the second derivative of -i**5/5 + 99*i**4 - 19602*i**3 + 1940598*i**2 + 178*i. Determine k so that s(k) = 0.
99
Let d(j) be the third derivative of -j**7/840 + j**6/160 - 31*j**2 + j. Find x such that d(x) = 0.
0, 3
Factor 0*y**4 - 5*y**4 + 20 - 233*y**3 + 40*y + 15*y**2 + 223*y**3.
-5*(y - 2)*(y + 1)**2*(y + 2)
Suppose -624/5*a**3 + 592240896/5 + 146016/5*a**2 - 15185664/5*a + 1/5*a**4 = 0. What is a?
156
Let b(y) be the second derivative of -y**4/12 - 3*y**3/2 + 5*y**2 + 595*y. Factor b(p).
-(p - 1)*(p + 10)
Let i(g) be the third derivative of g**8/1512 - 5*g**7/189 + 107*g**6/270 - 328*g**5/135 + 32*g**4/27 + 1024*g**3/27 - 26*g**2 - 2*g. Factor i(j).
2*(j - 8)**3*(j - 2)*(j + 1)/9
Factor -26/3*j**2 + 22/3*j + 4/3.
-2*(j - 1)*(13*j + 2)/3
Let t = -253 + -212. Let w be 62/t*(-10)/6. Solve -w*i - 2/9*i**4 - 2/3*i**2 - 2/3*i**3 + 0 = 0 for i.
-1, 0
Let q(b) = -2*b**2 - 10*b. Let g be ((-45)/6)/(-5)*2. Let o(p) = 5*p**2 + 30*p. Let y(z) = g*o(z) + 10*q(z). Factor y(d).
-5*d*(d + 2)
Suppose -45*b = -11*b. Let z(m) be the second derivative of -1/3*m**3 - 1/2*m**2 - 8*m + b - 1/12*m**4. Factor z(o).
-(o + 1)**2
Let b(n) = n**3 - 9*n**2 - 4*n + 6. Let d be ((-27)/(-2))/(-3)*(-168)/(-126). Let c(f) = f**2 + f - 1. Let a(x) = d*c(x) - b(x). Factor a(j).
-j*(j - 2)*(j - 1)
Let o(k) be the third derivative of -k**7/735 - 2*k**6/105 - 2*k**5/35 - 56*k**2 - 2*k. Factor o(z).
-2*z**2*(z + 2)*(z + 6)/7
Let s(w) = 2*w**2 - 3*w + 4. Let c be s(1). Suppose 0 = -c*j - 4*n + 16, 3*j + 6*n - 10*n - 8 = 0. Solve 0*r**2 - 4/5*r**3 + 0 + 0*r + 6/5*r**j - 2/5*r**5 = 0.
0, 1, 2
Let c(d) be the first derivative of -d**6/480 + d**5/80 - 29*d**3/3 - 11. Let r(p) be the third derivative of c(p). Factor r(o).
-3*o*(o - 2)/4
Let p(s) be the third derivative of -s**8/672 + s**6/240 - 2*s**2 - 173*s. Determine t so that p(t) = 0.
-1, 0, 1
Let q = 4439/2 + -2215. Suppose -3/2 + 6*g**4 - 15/2*g**3 + 15/2*g - q*g**2 = 0. Calculate g.
-1, 1/4, 1
Suppose -2/7*l**2 + 4/7*l - 2/7 = 0. Calculate l.
1
Let 40*r + 16*r**2 + 27*r - 27*r**2 + 16*r**2 + 3*r = 0. What is r?
-14, 0
Let a(q) = -q**2 + 14*q + 178. Let o be a(22). Let i(l) be the first derivative of 0*l**3 - 4/5*l**5 + 0*l**o + 0*l - 8 - l**4. Let i(m) = 0. What is m?
-1, 0
Factor -18*a**2 - 1/4*a**3 - 432*a - 3456.
-(a + 24)**3/4
Suppose 337*u + 18*u = 40*u + 630. Factor -2/13*n**3 + 2/13*n**u + 10/13*n + 6/13.
-2*(n - 3)*(n + 1)**2/13
Let y(h) = -h**3 + 4*h**2 - 4*h + 3. Let x be y(2). Factor -x*r - 5*r**2 + 5*r + 3*r**2.
-2*r*(r - 1)
Let p = -39 + 65. Find o, given that 55*o**2 - 4 - 6*o - 31*o**2 - p*o**2 = 0.
-2, -1
Let v = 1119 + -1115. Let h(s) be the second derivative of 3/100*s**5 - 7/30*s**3 - 7*s - 1/30*s**v + 0 - 1/5*s**2. Factor h(f).
(f - 2)*(f + 1)*(3*f + 1)/5
Let v(h) be the first derivative of 4 + 2/21*h**3 - 12/7*h**2 + 72/7*h. Factor v(x).
2*(x - 6)**2/7
Let u(h) be the second derivative of 1/3*h**4 - 8/11*h**3 - 4/55*h**5 + 9/11*h**2 + 1/165*h**6 + 0 + 10*h. Find m, given that u(m) = 0.
1, 3
Let t(a) = -12*a**4 - 100*a**3 - 580*a**2 - 1380*a + 8. Let r(o) = -o**4 - 2*o**3 + o**2 - o + 1. Let m(x) = -8*r(x) + t(x). Let m(g) = 0. Calculate g.
-7, 0
Let a(l) be the second derivative of l**5/35 - 5*l**4/42 + 2*l**3/21 + 39*l. Determine f, given that a(f) = 0.
0, 1/2, 2
Let u(g) = g - 1. Let b(n) = 0*n**2 + 3*n**3 + n + 7*n - 2*n**2 - 2*n - 6. Let r(x) = b(x) - 6*u(x). Factor r(d).
d**2*(3*d - 2)
Let x(k) be the first derivative of 2*k**3/45 - 26*k**2/15 - 112*k/15 - 347. Factor x(j).
2*(j - 28)*(j + 2)/15
Let j = 1014/7 - 144. Factor -3/7*s - 3/7*s**2 + j.
-3*(s - 1)*(s + 2)/7
Let i be ((-3)/12 - 12/(-80))/(-6). Let y(q) be the second derivative of -5*q - 1/2*q**3 + 0*q**2 + 0 - 1/6*q**4 - i*q**5. Factor y(l).
-l*(l + 3)**2/3
Let g(v) be the second derivative of -v**5/230 + 7*v**4/46 - 40*v**3/23 + 100*v**2/23 + 34*v - 1. Find w such that g(w) = 0.
1, 10
Let v = -1/1542 + -31607/6168. Let g = 229/40 + v. Factor 12/5*t**3 - 18/5*t**2 - 3/5 - g*t**4 + 12/5*t.
-3*(t - 1)**4/5
Factor 0 - 6/13*u**2 - 4/13*u**3 + 18/13*u.
-2*u*(u + 3)*(2*u - 3)/13
Let x(s) be the third derivative of s**7/42 - 5*s**6/24 + s**5/2 + 5*s**4/6 - 20*s**3/3 - 10*s**2 - s. Factor x(m).
5*(m - 2)**3*(m + 1)
Let m(a) = -a**3 - 13*a**2 + 96*a - 62. Let d(w) = 6*w**2 - 48*w + 30. Let c(o) = 5*d(o) + 3*m(o). Find h such that c(h) = 0.
-6, 1, 2
Let a(s) be the third derivative of -s**7/630 - s**6/360 + s**5/90 - 94*s**2. Solve a(y) = 0 for y.
-2, 0, 1
Let g(x) be the second derivative of x**7/30 - 37*x**6/90 + 19*x**5/15 - 4*x**4/3 - 14*x**3/3 + 17*x. Let h(w) be the second derivative of g(w). Factor h(d).
4*(d - 4)*(d - 1)*(7*d - 2)
Let g be (-5)/(-5) + 6 + 0. Factor 5*q**3 + 2*q + g*q + 20*q**2 + 6*q.
5*q*(q + 1)*(q + 3)
Let p(l) be the third derivative of l**5/450 - 5*l**4/36 - 6*l**3/5 - 5*l**2 - 14*l. Suppose p(x) = 0. What is x?
-2, 27
Let b = -12615 - -12615. What is q in 2/23*q**5 + b*q**2 + 0 - 4/23*q**3 + 2/23*q + 0*q**4 = 0?
-1, 0, 1
Suppose 7*a = 3*a + 12. Factor -3*f**a - 13*f + 27 - f + 5*f - 15*f**2.
-3*(f - 1)*(f + 3)**2
Let g(r) be the second derivative of -r**6/40 + 3*r**5/20 + 3*r**4/4 - 4*r**3 - 24*r**2 + 74*r. Determine d, given that g(d) = 0.
-2, 4
Suppose -2*v = 4*i + 2*v - 24, 0 = -2*i + 2*v + 20. Let g be 95/(-38)*i/(-70). Find j, given that g*j**2 + 2/7*j**3 - 4/7*j + 0 = 0.
-2, 0, 1
Let o(d) be the second derivative of 0 + 0*d**3 - 2/15*d**5 - 2/63*d**7 - 1/9*d**6 + 15*d + 0*d**2 - 1/18*d**4. Find u, given that o(u) = 0.
-1, -1/2, 0
Suppose -4*h = 3*p - 8, -32*p + 37*p - 5*h + 10 = 0. Let x(w) be the second derivative of -1/27*w**3 - w - 2/9*w**2 + p + 1/54*w**4. Factor x(c).
2*(c - 2)*(c + 1)/9
Let t(f) = 21*f - 21. Let a be t(1). Let j(l) be the first derivative of 6 + 1/34*l**4 - 4/51*l**3 + 1/17*l**2 + a*l. What is w in j(w) = 0?
0, 1
Let v = 1 - 5. Let w be ((-6)/v)/((7 - 16)*-1). Factor -1/6 + 0*y + w*y**2.
(y - 1)*(y + 1)/6
Suppose 0 = -5*r + 4*y + 346, 2*r - r - 75 = -5*y. Let i = -38 + r. Suppose i*a**3 + 46*a**2 + 4 - 20 - 32*a - 20*a**4 - 10*a**2 = 0. Calculate a.
-1, -2/5, 1, 2
Let c(g) = 2*g**2 + 5*g. Let r(i) = i**2 + 4*i. Suppose 0*x - 3*x = -5*b + 67, 4*b = 2*x + 52. Let z = b + -15. Let y(h) = z*c(h) + 5*r(h). Factor y(l).
-3*l**2
Let g(r) be the first derivative of r**4/2 - 26*r**3/15 + 6*r**2/5 + 74. Factor g(s).
2*s*(s - 2)*(5*s - 3)/5
Let f be 297/81 + -2*(-1)/(-3). Solve -8*b**f + 17*b**3 - 12 + 12*b**2 - 6*b**3 - 6*b + 3*b = 0.
-4, -1, 1
Suppose -3*m + 8 = -m. Suppose 2*w = -m*c - 2*w + 32, -w = 4*c - 17. Find g, given that -9*g**3 + 3*g - 4*g**2 + 10*g**c + g = 0.
0, 2
Let q(c) = -3*c**2 - 94*c + 96. Let d(y) = y**2. Let x(t) = -d(t) - q(t). Suppose x(a) = 0. Calculate a.
-48, 1
Suppose -q - 107 = -2*p - 105, -5*p + 8 = -q