**8/28 + g**7/10 - 11*g**6/30 - g**5/6 + 2*g**4/3 - g**3/2 + 2*g**2 - 7*g. What is r in h(r) = 0?
-1, 1/3, 3/4
Let n(c) be the second derivative of c**6/6 - c**5/2 - 65*c**4/12 + 95*c**3/3 - 60*c**2 - c - 80. What is k in n(k) = 0?
-4, 1, 2, 3
Let t(p) be the second derivative of p**6/75 + 3*p**5/25 - p**4/10 - 16*p**3/15 + 12*p**2/5 + 651*p. Factor t(m).
2*(m - 1)**2*(m + 2)*(m + 6)/5
Let w(f) = -4*f**2 + 2*f + 2. Let d(o) = 3*o + 5 - 2*o - 6. Suppose -2*g = -3*g + 1. Let a(r) = g*w(r) + 3*d(r). Determine l so that a(l) = 0.
1/4, 1
Let t(u) be the first derivative of u**6/15 + 14*u**5/25 - 9*u**4/5 + 4*u**3/15 + 17*u**2/5 - 18*u/5 - 108. Let t(z) = 0. What is z?
-9, -1, 1
Factor 15*v**2 - 2 + 9 - 10 + 3*v**3 + 22 + 2 - 39*v.
3*(v - 1)**2*(v + 7)
Let c be (-3)/(27/357) - 4. Let a = c - -44. Factor 0*l**2 + 2/3*l**3 + l**4 + 0*l + a*l**5 + 0.
l**3*(l + 1)*(l + 2)/3
Let j be 7*200/5250*(1 + 4/8). Factor -j*b**5 + 4/5*b**3 + 0 + 0*b**2 + 0*b + 2/5*b**4.
-2*b**3*(b - 2)*(b + 1)/5
Let u(k) be the first derivative of k**6/360 + k**5/90 - k**4/72 - k**3/9 - 25*k**2/2 + 5. Let w(a) be the second derivative of u(a). Factor w(j).
(j - 1)*(j + 1)*(j + 2)/3
Let d(f) be the third derivative of 32*f**2 + 1/660*f**6 + 0*f + 1/44*f**4 + 1/55*f**5 + 0 - 10/33*f**3. Factor d(z).
2*(z - 1)*(z + 2)*(z + 5)/11
Let p(t) be the first derivative of t**6/540 + t**5/45 + t**4/9 + 8*t**3/27 - 3*t**2/2 + 1. Let o(x) be the second derivative of p(x). Factor o(i).
2*(i + 2)**3/9
Suppose 0 = -s + 4*l + 7, -4*l = 3*s - 5. Let m be 6*1 + s + -5. Let -4*r**2 + 3*r**4 - r - 2*r**2 - 6*r**3 - 5*r**m - r = 0. Calculate r.
-1, 0
Factor 0 + 0*z**2 - 2/7*z**5 + 0*z - 4/7*z**4 - 2/7*z**3.
-2*z**3*(z + 1)**2/7
Let u(v) be the first derivative of -v**6/2 + 18*v**5/5 - 6*v**4 - 6*v**3 + 27*v**2/2 + 215. Let u(h) = 0. Calculate h.
-1, 0, 1, 3
Let c(q) = q**3 + 4*q**2 - 4*q + 5. Let f be c(-5). Suppose f = -z + 64 - 60. Factor 0 + 0*t - 1/3*t**2 - 1/3*t**z - 2/3*t**3.
-t**2*(t + 1)**2/3
Let m(d) = d**2 + 30*d - 71. Let j be m(-17). Let s = -292 - j. Suppose s*f**2 + 0 + 3/5*f**4 + 2/5*f**3 + 1/5*f**5 + 0*f = 0. What is f?
-2, -1, 0
Let x(z) = z**3 + 25*z**2 + 24*z + 2. Suppose -7*c - 121 = -3*c + 5*t, -c - 4 = -4*t. Let w be x(c). Factor 5*i**3 - 1/2 - 3/2*i**4 - 6*i**w + 3*i.
-(i - 1)**3*(3*i - 1)/2
Suppose 0*z - 12 = -6*z. Find w, given that -20*w**z + 9*w**3 - 8*w - 187 - 21*w**3 + 187 = 0.
-1, -2/3, 0
Let d be (-11 - 580/(-50))*5. Suppose -d*n - 9/4*n**2 - 3/4 = 0. What is n?
-1, -1/3
Suppose 0 = -2*w - 4*h - 2, -2*w + 6*h - 24 = 21*h. Factor -12/7*x + 0 + 3/7*x**w - 12/7*x**2 + 3/7*x**4.
3*x*(x - 2)*(x + 1)*(x + 2)/7
Solve 1/3*u**2 + 8/3*u + 7/3 = 0 for u.
-7, -1
Factor 20736 + 17675*v + 9*v**2 + 96*v**4 + 423*v**2 - 3*v**5 - 2123*v - 876*v**3.
-3*(v - 12)**3*(v + 2)**2
Let t(q) be the second derivative of 0*q**2 + 0 + 1/108*q**4 + 15*q - 1/18*q**3. Determine p so that t(p) = 0.
0, 3
Let u = 167 - 161. Let m(i) be the third derivative of -5*i**2 + 0*i**4 + 0*i + 0*i**3 + 1/20*i**u - 1/20*i**5 + 0. Let m(c) = 0. Calculate c.
0, 1/2
Let g(h) be the second derivative of h**6/24 - 7*h**5 + 490*h**4 - 54880*h**3/3 + 384160*h**2 - 295*h. Solve g(z) = 0.
28
Let s(i) be the third derivative of 0*i**3 + 28*i**2 + 1/40*i**6 + 0 - 1/35*i**7 - 1/112*i**8 + 0*i**4 + 0*i + 1/10*i**5. Solve s(b) = 0.
-2, -1, 0, 1
Suppose 0 = 10*u - 33*u + 92. Let v(i) be the second derivative of 1/78*i**4 - 2/39*i**3 + 1/13*i**2 + 0 - u*i. Find m such that v(m) = 0.
1
Let l = -7937 + 7939. Let -4/3*p**l + 4/9*p + 0 = 0. What is p?
0, 1/3
Let c(d) be the first derivative of -3*d**5/20 + 15*d**4/8 - 9*d**3/4 - 81*d**2/2 + 81*d - 142. Suppose c(i) = 0. Calculate i.
-3, 1, 6
Let u(l) be the first derivative of 5*l**4/6 - 46*l**3/9 + 20*l**2/3 + 8*l + 79. Factor u(f).
2*(f - 3)*(f - 2)*(5*f + 2)/3
Solve -2/5*y**2 - 12/5*y + 14/5 = 0 for y.
-7, 1
Let y be ((-2)/8*9)/(6/24). Let f(z) = -3*z**5 + 45*z**4 - 48*z**2 - 9. Let r(o) = -o**5 + 11*o**4 - 12*o**2 - 2. Let v(u) = y*r(u) + 2*f(u). Factor v(t).
3*t**2*(t - 2)**2*(t + 1)
Let j(i) be the first derivative of i**5/270 + i**4/36 + 2*i**3/27 - i**2/2 + 10. Let g(r) be the second derivative of j(r). Solve g(t) = 0 for t.
-2, -1
Suppose r = -c + 4*c - 8, 4*c - 18 = 5*r. Let f be -2 + (3 + 1)/c. Suppose 4*z**2 + z**4 + 2*z - 7*z**4 + 6*z**5 + f*z**4 - 8*z**3 + 2*z**4 = 0. What is z?
-1, -1/3, 0, 1
Let v(z) = -2*z - 62. Let u be v(-32). Let b(f) be the second derivative of 2/3*f**3 + 8*f + 0*f**u + 1/6*f**4 + 0. Factor b(p).
2*p*(p + 2)
Suppose -1 = -17*n + 64*n - 1. Let k be (-3)/((-15)/4 + 0). Find m such that n*m + 0 - 16/5*m**4 + 0*m**3 - k*m**5 + 0*m**2 = 0.
-4, 0
Factor 8*c - 63/4*c**2 + 1/4*c**4 + 0 + 15/2*c**3.
c*(c - 1)**2*(c + 32)/4
Let a(z) = 5*z**3 - 2*z + 1. Let u be a(1). Suppose 21 = u*q + 3*r, r - 6 = -4*q + 3*q. Find d, given that -d + 3 - d**2 - 3*d**q - 3*d**2 - d**2 - 2 = 0.
-1, 1/3
Let t be (6/4)/(4/152). Find f, given that 33*f**3 - 192 + 5*f + 43*f + f**4 + 51*f**2 + t*f**2 + 2*f**4 = 0.
-4, 1
Let p(y) be the first derivative of -2*y**3/51 + 168*y**2/17 - 14112*y/17 - 72. Determine m so that p(m) = 0.
84
Suppose q - 2*q = 0. Let d = -632/21 - -213/7. Factor q - d*r - 1/3*r**2.
-r*(r + 1)/3
Let s(j) be the first derivative of -j**5/60 + j**4/24 + j**3/3 + j**2 - 8. Let x(a) be the second derivative of s(a). Factor x(o).
-(o - 2)*(o + 1)
Let o(w) be the third derivative of w**5/12 + 65*w**4/24 + 10*w**3 + 10*w**2 - 7. Factor o(h).
5*(h + 1)*(h + 12)
Let l be (180 + -181)*(-1 + 1)*2/(-4). Find a, given that -2/21*a**2 + 4/21*a + l - 2/21*a**3 = 0.
-2, 0, 1
Let a be -2 + -4 + ((-31)/(-5))/(4/4). Find x, given that 0 + 0*x - 6/5*x**2 + a*x**3 = 0.
0, 6
Let u(t) be the third derivative of t**6/480 + 3*t**5/80 + 5*t**4/24 + t**3/2 - 30*t**2. Find r, given that u(r) = 0.
-6, -2, -1
Factor 165*v + 5*v + 2*v - 576*v**2 - 27 + 512*v**3 + 44*v.
(8*v - 3)**3
Suppose 10*o + 0*o + 27*o + 12*o = 0. Let -1/3*l**2 + o + 1/3*l**4 + 4/3*l**3 - 4/3*l = 0. Calculate l.
-4, -1, 0, 1
Let y be (28/(-20))/(2/(-10)). Let s = y + -4. Let -1/4*p**s + 0 + 1/4*p + 1/4*p**4 - 1/4*p**2 = 0. Calculate p.
-1, 0, 1
Suppose -5*z = 3*n - 129, -109 = -5*z - 2*n + 17. Let u = -10 + 16. Solve -2*i + 25*i**4 + u*i**2 - z*i**5 - 31*i**4 + 27*i**3 - i = 0 for i.
-1, -1/2, 0, 1/4, 1
Let d be (6591/715 + -9)*(-20)/(-6). Let m(r) be the first derivative of 2/33*r**3 + 4/11*r**2 - 8 + d*r. Solve m(g) = 0 for g.
-2
Factor 0 - 2/7*a**4 + 0*a - 8/7*a**3 - 8/7*a**2.
-2*a**2*(a + 2)**2/7
Solve -23/4*h**3 + 3/4*h - 19/4*h**4 - h**5 + 0 - 5/4*h**2 = 0 for h.
-3, -1, 0, 1/4
Let g(k) be the third derivative of 0 + 1/48*k**4 - 25*k**2 + 1/480*k**5 + 0*k**3 + 0*k. Factor g(n).
n*(n + 4)/8
Let q(y) be the third derivative of y**6/1140 + 13*y**5/190 + 30*y**4/19 - 400*y**3/57 - 2*y**2. Suppose q(c) = 0. What is c?
-20, 1
Suppose i - 8 - 2 = 0. Solve 777*u + i*u**2 - 782*u - 4*u**3 - u**3 = 0 for u.
0, 1
Let u(d) be the first derivative of 2*d**3/21 - 3*d**2/7 - 20*d/7 + 81. Solve u(c) = 0.
-2, 5
Let c(b) be the first derivative of -b**4/30 + 2*b**3/45 + 8*b**2/15 - 8*b/5 - 11. Factor c(k).
-2*(k - 2)**2*(k + 3)/15
Let v(z) be the second derivative of z**5/90 + z**4/9 + 5*z**3/27 - z + 62. Solve v(d) = 0 for d.
-5, -1, 0
What is w in -94 + 200*w + 15*w**2 - 291*w - 274*w - 156 = 0?
-2/3, 25
Suppose 2*n + 5*i = -21, -2*n - 17*i + 19*i = -14. Factor 2/13*t**n + 4/13*t - 2/13*t**3 + 0.
-2*t*(t - 2)*(t + 1)/13
Suppose 9*s - 3*q = 14*s + 2, 4*s + 8 = -4*q. Let f(p) be the third derivative of 9/20*p**4 + 0 - 9/5*p**3 + 0*p + 1/300*p**6 + 3*p**s - 3/50*p**5. Factor f(k).
2*(k - 3)**3/5
Let m(h) = -20*h**4 + 38*h**3 + 20*h**2 - 2*h + 18. Let x(c) = c**4 - c**3 - c**2 - c - 1. Let n(b) = -m(b) - 18*x(b). Solve n(q) = 0 for q.
-1, 0, 1, 10
Let k(a) = -a - 1. Let p(o) = o + 1. Let i(s) = k(s) + 3*p(s). Let w be i(1). Factor w*r - 4 + 5 + 2*r**2 - 1.
2*r*(r + 2)
Let q(i) be the third derivative of 1/120*i**5 - 14*i**2 + 0*i - 1/6*i**3 + 0 + 1/48*i**4. Determine y, given that q(y) = 0.
-2, 1
Suppose 18*n + 0*n**5 - 3*n**5 - 73*n**3 + 82*n**3 + 33*n**2 - 9*n**4 = 0. Calculate n.
-3, -1, 0, 2
Let g(s) = -s**2 - s - 10. Let b(o) = -2*o + 9*o**2 - 4 - 7 - 11*o**2. Let f(r) = -4*b(r) + 5*g(r). Factor f(v).
3*(v - 1)*(v + 2)
Let