erivative of r**9/15120 - r**8/1344 + r**7/315 - r**6/180 - r**4/2 + 20*r**2. Let u(g) be the second derivative of b(g). Factor u(w).
w*(w - 2)**2*(w - 1)
Let 0 - 63/8*r - 1/8*r**2 = 0. What is r?
-63, 0
Let d(o) be the third derivative of 7*o**5/60 + 11*o**4/24 - 4*o**3/3 - 4*o**2 + 2*o. Let w(r) = 6*r**2 + 12*r - 10. Let b(s) = 4*d(s) - 5*w(s). Factor b(m).
-2*(m - 1)*(m + 9)
Let v(x) = -x**2 - 29*x + 301. Let l be (684/30)/3 - 4/(-10). Let u be v(l). Factor 0*r**2 + 0 + 0*r**3 + 0*r - 2/19*r**u - 2/19*r**4.
-2*r**4*(r + 1)/19
Let y(a) be the first derivative of -a**3/5 - 177*a**2/5 + 2021. Let y(r) = 0. What is r?
-118, 0
Let u(j) be the first derivative of j**5/15 - 5*j**4/12 + j**3 + 37*j**2/2 + 243. Let x(a) be the second derivative of u(a). Suppose x(t) = 0. What is t?
1, 3/2
Let n be 5*10/(-125)*-10. Let z(i) be the first derivative of -18 + 0*i**3 - n*i - 1/2*i**4 + 3*i**2. Factor z(b).
-2*(b - 1)**2*(b + 2)
Let l(n) be the second derivative of n**4/32 - 219*n**3/16 + 972*n. Solve l(r) = 0 for r.
0, 219
Suppose 60*y - 717 = -717. Let b(p) be the second derivative of 23*p - 7/12*p**3 + y - 3/2*p**2 + 1/40*p**5 + 0*p**4. Solve b(c) = 0.
-2, -1, 3
Let w(p) be the first derivative of p**4/4 - 4*p**3 - 31*p**2/2 + 42*p + 120. Solve w(o) = 0.
-3, 1, 14
Let j = -4991 + 4995. Let v(f) be the second derivative of 0 + 11/30*f**5 + 4/45*f**6 + 9*f + 2/3*f**j + 1/2*f**3 + 1/126*f**7 + 0*f**2. Solve v(t) = 0 for t.
-3, -1, 0
Let z(n) be the second derivative of -n**5/110 + 9*n**4/22 - 16*n**3/3 + 252*n**2/11 + 6263*n. Find q such that z(q) = 0.
2, 7, 18
Let m(v) = 14*v**2 - 83*v + 74. Let k be m(5). Suppose k*s**3 + 0 + s - 10*s**5 - 13/2*s**4 + 13/2*s**2 = 0. Calculate s.
-1, -2/5, -1/4, 0, 1
Let r be 9636/8760*(-4)/(-66). Let p(g) be the first derivative of 0*g + r*g**3 - 1/5*g**2 + 25. Factor p(j).
j*(j - 2)/5
Determine l, given that -267/5*l**2 + 9/5 - 258/5*l = 0.
-1, 3/89
Let u(z) = 16*z - 39. Let k be u(-8). Let w = k - -169. Factor -3/2*n**w - 24 - 36*n - 3/2*n**4 + 9*n**3.
-3*(n - 4)**2*(n + 1)**2/2
Let p(z) be the third derivative of -z**7/45 - z**6/9 + 11*z**5/15 - 11*z**4/9 + 5*z**3/9 - 74*z**2. Suppose p(h) = 0. What is h?
-5, 1/7, 1
Let f(d) be the first derivative of d**4/8 + 473*d**3/6 + 118*d**2 - 3794. Factor f(x).
x*(x + 1)*(x + 472)/2
Suppose -5*i - 120 = -5*j - 0*j, 2*j - 50 = 3*i. Factor 24*s**3 - 1 + j*s**2 + 21*s + 6 + 4*s**4 - 1 + 15*s**2.
(s + 1)*(s + 4)*(2*s + 1)**2
Let j(d) be the first derivative of 0*d + 11/2*d**2 + 4*d**3 + 41 + 1/4*d**4. Factor j(r).
r*(r + 1)*(r + 11)
Solve -15 + 50*j**3 - 11 - 130*j**2 + 10 - 158*j**2 + 31*j**3 - 140*j = 0 for j.
-2/9, 4
Let d(l) be the second derivative of -1/28*l**4 + 17*l + 0 + 0*l**3 + 0*l**2 - 1/140*l**5. Let d(a) = 0. Calculate a.
-3, 0
Let h(x) = 100*x**3 + 125*x**2 - 1070*x - 1150. Let g(v) = 11*v**3 + 14*v**2 - 119*v - 128. Let c(q) = -55*g(q) + 6*h(q). Solve c(n) = 0.
-7, -1, 4
Let p be -2 + -5 + 1 + -757. Let h = -763 - p. Let -2/5*k**5 + 1/5*k**3 + h + 1/5*k - 3/5*k**2 + 3/5*k**4 = 0. Calculate k.
-1, 0, 1/2, 1
Let a(d) = 201*d**2 + 23*d + 37. Let t be a(-2). Let q be 11 - (-9 + t/40). Determine m, given that q*m**2 + 3/8*m + 0 = 0.
-3, 0
Let v(z) = 6*z + 9. Let l(g) = -3*g - 6. Let o(s) = -9*l(s) - 4*v(s). Let p be o(-5). Determine y so that -49/5*y**4 + 0 - 12*y**2 - 126/5*y**p - 8/5*y = 0.
-2, -2/7, 0
Factor 0 + 1001/3*q + 1/3*q**2.
q*(q + 1001)/3
Let w(y) be the third derivative of y**7/42 + y**6/2 - 15*y**5/2 - 1265*y**4/6 + 1815*y**3/2 + 788*y**2. Factor w(p).
5*(p - 9)*(p - 1)*(p + 11)**2
Let l(p) be the third derivative of -1/168*p**8 + 0*p**7 - 52*p**2 + 1/15*p**6 + 0 + 0*p**5 + 0*p + 0*p**4 + 0*p**3. Factor l(f).
-2*f**3*(f - 2)*(f + 2)
Suppose 7*w = 2*w, -4*s + 3*w = -68. Suppose 0 = 21*a - s*a - 36. Solve 2*d**4 + a*d**3 + 12*d**4 + 9*d**3 + 4*d**2 = 0 for d.
-1, -2/7, 0
Let g(q) = 5*q**2 + 2 + 0 + 7*q**3 + 6 + 6*q**2 + 4*q - 22*q. Let j(m) = -15*m**3 - 23*m**2 + 36*m - 16. Let u(k) = 9*g(k) + 4*j(k). What is c in u(c) = 0?
-4, 2/3, 1
Let g be (3 - (-3 + 22/3))*(-6)/20. Let z(o) be the first derivative of 1/4*o**2 - g*o - 1/30*o**3 - 9. Factor z(q).
-(q - 4)*(q - 1)/10
Let n = 120 + -116. Find j, given that -18*j - n - 54*j - 35 - 25*j**2 + 9 - 13*j = 0.
-3, -2/5
Factor -2/13*b**3 + 92/13 + 4*b**2 - 142/13*b.
-2*(b - 23)*(b - 2)*(b - 1)/13
Let b(j) be the third derivative of j**8/2352 + j**7/490 - 11*j**6/420 - 37*j**5/210 - 25*j**4/56 - 25*j**3/42 - 41*j**2. Find l, given that b(l) = 0.
-5, -1, 5
Let n(i) be the first derivative of i**6/60 - 2*i**5/45 + i**4/36 - 22*i**2 - 69. Let r(a) be the second derivative of n(a). Factor r(y).
2*y*(y - 1)*(3*y - 1)/3
Let t(n) be the first derivative of 132 + 9/2*n**4 - 3/5*n**5 - 150*n**2 + 15*n**3 + 0*n. What is g in t(g) = 0?
-4, 0, 5
Let x(d) be the third derivative of d**6/120 + 33*d**5/10 + 833*d**4/2 + 9604*d**3/3 + 202*d**2 + d. Solve x(z) = 0.
-98, -2
Let v(i) be the first derivative of -i**5/15 + 11*i**4/3 - 694*i**3/9 + 770*i**2 - 3675*i - 158. Suppose v(p) = 0. What is p?
7, 15
Let z(a) = 1495*a - 479*a - 294*a - 258*a**2 + 1200*a - 16072 + 488*a. Let o(w) = -23*w**2 + 219*w - 1461. Let h(p) = 68*o(p) - 6*z(p). Factor h(d).
-4*(2*d - 27)**2
Suppose 0 - 2/7*o**2 + 178/7*o = 0. What is o?
0, 89
Let z be (-1)/(-9) - -3*(-78)/(-81). Suppose z*u + 66 = 25*u. Suppose 3/2*s**4 + u*s - 3/2*s**5 + 9/2*s**3 + 0 - 15/2*s**2 = 0. What is s?
-2, 0, 1
Suppose 165/2*w**3 + 12 + 9/2*w**5 + 3*w - 135/2*w**2 - 69/2*w**4 = 0. What is w?
-1/3, 1, 2, 4
Let s(j) = -5*j**3 - 14*j**2 - 37*j - 8. Let b(t) = 11*t**3 + 29*t**2 + 76*t + 13. Let i(a) = -4*b(a) - 9*s(a). Solve i(q) = 0.
-5, -4, -1
Let s = -493168 - -493168. Let 0*b + 0*b**2 + 1/11*b**4 - 3/11*b**3 + s = 0. What is b?
0, 3
Let g(z) be the first derivative of 2*z**3/3 + 1002*z**2 + 502002*z + 1783. Let g(c) = 0. What is c?
-501
Suppose 23*r = 13*r + 1300. Let g = -130 + r. Factor g + 3/4*u**3 - u + u**2 - u**4 + 1/4*u**5.
u*(u - 2)**2*(u - 1)*(u + 1)/4
Suppose -69*r + t - 19 = -74*r, -1 = r - t. Let n(f) be the first derivative of -4/21*f**r - 15 + 0*f + 5/14*f**2 - 1/28*f**4. Factor n(x).
-x*(x - 1)*(x + 5)/7
Let o(c) be the third derivative of -c**6/300 - 26*c**5/225 + 1027*c**4/180 + 116*c**3/15 + 5*c**2 + 7*c + 2. Determine w, given that o(w) = 0.
-29, -1/3, 12
Let m(s) = -5*s - 25. Suppose -x + r = 5, 11*x = 8*x - 5*r - 15. Let d be m(x). Factor d*y + 2*y + 15 - y + 4*y - 20*y**2.
-5*(y - 1)*(4*y + 3)
Suppose 3*z - z + 5*q - 23 = 0, z = 5*q + 19. Let f = 17 - z. Find s such that -4 - 2*s**f + 4*s**3 + 7*s - 13*s = 0.
-1, 2
Let h(f) be the second derivative of -f**6/30 - 39*f**5/10 - 1801*f**4/12 - 1820*f**3 - 9800*f**2 - 2793*f. Suppose h(u) = 0. What is u?
-35, -4
Let j(y) be the third derivative of 9*y**2 - y**4 + 0 - 2/21*y**7 + 0*y + 1/84*y**8 + 0*y**3 + 1/3*y**5 + 1/6*y**6. Determine c, given that j(c) = 0.
-1, 0, 1, 2, 3
Let q(s) be the first derivative of 20*s**4 + 0*s + 40*s**2 - 12*s**5 + 80*s**3 + 48 - 25/6*s**6. Let q(m) = 0. What is m?
-2, -2/5, 0, 2
Let j(q) be the third derivative of 13 + 1/20*q**6 - 1/210*q**7 + 0*q + 0*q**3 - 3/20*q**5 + 1/6*q**4 - 2*q**2. Factor j(d).
-d*(d - 4)*(d - 1)**2
Let g = -36420 + 36468. Let p(a) be the second derivative of 2*a**3 + 18*a**2 - 11/12*a**4 - 1/10*a**5 + g*a + 1/30*a**6 + 0. Determine j, given that p(j) = 0.
-2, 3
Suppose -2*s = 5*j - 3495, -3*j + 3*s = -2215 + 97. Let z = -2095/3 + j. Factor -32/3*i**2 + 0*i + 0 - z*i**3 + 4/3*i**4.
4*i**2*(i - 4)*(i + 2)/3
Let q(l) = 19*l**3 + 2*l**2 + 15*l - 18. Let o be q(1). Let u(s) be the first derivative of -3/4*s**4 - 2*s**3 + o - 3/2*s**2 + 0*s. Let u(f) = 0. Calculate f.
-1, 0
Let x(n) be the first derivative of n**8/1344 - 17*n**7/3360 - 7*n**6/720 + n**5/60 - n**3/3 + 17*n + 64. Let p(r) be the third derivative of x(r). Factor p(v).
v*(v - 4)*(v + 1)*(5*v - 2)/4
Suppose -56 - 438 = -13*w. Let -18*n**2 + w*n**3 - 2*n - 6*n - 53*n**3 + 5*n = 0. Calculate n.
-1, -1/5, 0
Let s(w) be the second derivative of w**7/63 + w**6/45 - w**5/6 - w**4/18 + 8*w**3/9 - 4*w**2/3 - 861*w. Suppose s(c) = 0. What is c?
-2, 1
Find h, given that 62*h**2 + 6952/5*h + 3872/5 + 7/10*h**3 = 0.
-44, -4/7
Determine m, given that -4900/3 - 143*m**2 + 34/3*m**3 - 1/3*m**4 + 2380/3*m = 0.
7, 