 h(b).
(b - 1)**2*(b + 1)*(3*b - 1)/2
What is l in 6*l**3 - 103 + 39*l + 91 + 9*l**3 - 42*l**2 = 0?
4/5, 1
Let n(d) be the first derivative of -d**3/4 + 177*d**2/4 - 10443*d/4 - 89. Let n(v) = 0. What is v?
59
Let c be (-1)/4 - 25/(-20). Let d be (-2)/(-6)*0*c. Let d*p**2 + 1/2*p**3 + 0 - 1/2*p = 0. What is p?
-1, 0, 1
Let z(o) be the third derivative of o**6/240 + 7*o**3/2 - 13*o**2 - 3. Let i(c) be the first derivative of z(c). Factor i(k).
3*k**2/2
Let i = -2177 + 2182. Let o(n) be the third derivative of 0*n + 2/15*n**i + 0 + 5/12*n**4 - 3*n**2 + 2/3*n**3 + 1/60*n**6. Factor o(u).
2*(u + 1)**2*(u + 2)
Let h(g) be the second derivative of g**4/3 + 116*g**3 + 15138*g**2 - 70*g - 2. Solve h(s) = 0.
-87
Let l(f) = 7*f**4 + 57*f**3 + 184*f**2 + 122*f - 72. Let w(i) = -9*i**4 - 56*i**3 - 184*i**2 - 121*i + 76. Let j(v) = 3*l(v) + 2*w(v). Factor j(h).
(h + 2)**2*(h + 16)*(3*h - 1)
Let g(p) be the first derivative of -p**6/240 + 3*p**5/40 - p**4/2 - 38*p**3/3 + 22. Let o(r) be the third derivative of g(r). Factor o(h).
-3*(h - 4)*(h - 2)/2
Let f = 65 + -111. Let w = 46 + f. Suppose 1/2*l + 3/4*l**4 - 3/4*l**2 + w - 1/2*l**3 = 0. Calculate l.
-1, 0, 2/3, 1
Let b(t) be the third derivative of t**7/210 + t**6/30 + t**5/20 - 2*t**2 - 171*t. Solve b(q) = 0 for q.
-3, -1, 0
Solve -389*g**4 + 10*g**3 - 6*g**5 - 4*g**5 + 397*g**4 + 8*g**5 = 0.
-1, 0, 5
Let f = 78 + -46. Suppose -2 = -f*h + 31*h. Factor 2/3*r**3 - h*r**4 + 0 + 0*r + 0*r**2 + 4/3*r**5.
2*r**3*(r - 1)*(2*r - 1)/3
Let j(v) = 12*v**2 + 100*v - 32. Suppose -15 = b - 6*b. Let d(t) = -t**2 - 9*t + 3. Let r(w) = b*j(w) + 32*d(w). What is p in r(p) = 0?
-3, 0
Let f(v) = -v**2 + 3*v - 4. Let b(l) = -1. Let t = -17 + 14. Let g(n) = t*f(n) + 6*b(n). Find a such that g(a) = 0.
1, 2
Let r(y) be the third derivative of -y**6/30 - y**5/15 + 5*y**4/6 - 2*y**3 - 19*y**2. Factor r(o).
-4*(o - 1)**2*(o + 3)
Let t(u) = 55*u**3 + 115*u**2 + 69*u + 1. Let c(x) = -55*x**3 - 115*x**2 - 70*x. Let l(b) = -4*c(b) - 5*t(b). Factor l(s).
-5*(s + 1)**2*(11*s + 1)
Suppose 620 + 612 - 1238 = -3*x. Let 2/13*k**x - 2/13*k - 4/13 = 0. What is k?
-1, 2
Let n = 26 - 24. Suppose 0 = -3*o - 7*u + n*u - 1, -2*o + 10 = -2*u. Factor -2*p**3 - 2*p**3 + 3*p**2 - p**2 + o*p**3 - p.
-p*(p - 1)**2
Factor -s - 3*s + 353*s**3 + 29*s**2 - 56*s**4 - 392*s**3 + 6*s**5 + 10*s**5.
s*(s - 4)*(s + 1)*(4*s - 1)**2
Let o(a) = 9*a - 25. Let q be o(7). Let x = 40 - q. Solve 2/13*j**4 - 2/13*j**x - 2/13*j**5 + 0 + 2/13*j**3 + 0*j = 0.
-1, 0, 1
Let f = 17 - 5. Let s(m) = 2*m**2 - 2*m. Let v(b) = -b**2 + 1. Let u(j) = f*v(j) + 4*s(j). Solve u(d) = 0.
-3, 1
Let t = -164 - -167. Let j be 2/t + (-132)/(-99). Find q, given that -2/9*q + 2/9*q**3 - 4/9 + 4/9*q**j = 0.
-2, -1, 1
Solve 1/2*r**2 + 5/6*r + 1/3 - 1/6*r**4 - 1/6*r**3 = 0.
-1, 2
Let t(m) be the second derivative of m**6/540 - m**5/90 - m**4/12 - 5*m**3/27 - 31*m**2/2 + 35*m. Let d(l) be the first derivative of t(l). Factor d(h).
2*(h - 5)*(h + 1)**2/9
Suppose 7*c = 8 + 20. Let g(r) be the second derivative of -5/6*r**3 + 4*r + 0 - 1/3*r**c - 1/2*r**2. Suppose g(k) = 0. Calculate k.
-1, -1/4
Factor 1/3*m**2 + 121/3 - 22/3*m.
(m - 11)**2/3
Let q be ((-14)/6 + 3)/12. Let x(y) be the first derivative of 8/27*y**3 + 1 + 4/9*y**2 + 0*y + q*y**4. Let x(m) = 0. What is m?
-2, 0
Factor 14/5*n**4 - 54/5*n**3 + 0 - 4*n + 2/5*n**5 + 58/5*n**2.
2*n*(n - 1)**3*(n + 10)/5
Let a(f) be the first derivative of -f**4 + 1348*f**3/3 - 56446*f**2 - 114244*f + 527. Find s such that a(s) = 0.
-1, 169
Let b(w) = -26*w**3 - 7*w**2 + 129*w + 9. Let d(l) = -12*l**3 - 4*l**2 + 64*l + 4. Let u(y) = 4*b(y) - 9*d(y). Factor u(m).
4*m*(m - 3)*(m + 5)
Let c(a) be the second derivative of a**5/5 + 34*a**4/3 + 248*a**3/3 + 240*a**2 - 206*a. Find w, given that c(w) = 0.
-30, -2
Let q be ((-8)/(-10))/(34/(-2975)). Let z be (-62)/q + (-5)/70*4. Factor -9/5*h + z*h**4 - 6/5 + 3/5*h**2 + 9/5*h**3.
3*(h - 1)*(h + 1)**2*(h + 2)/5
Let t(o) be the third derivative of 0*o + 0 + 1/6*o**4 - 11*o**2 + 1/60*o**5 + 2/3*o**3. Determine w so that t(w) = 0.
-2
Factor -g**2 + 8/3 - 1/3*g**3 + 2*g.
-(g - 2)*(g + 1)*(g + 4)/3
Let w be 2 + 4493/(-2415) + (-32)/240. Let h = w + 157/644. Factor h*c**2 + 1/4*c - 1/4 - 1/4*c**3.
-(c - 1)**2*(c + 1)/4
Suppose -r - 5*f - 5 = 0, 3*r - 5*f - 4 = 21. Factor -30*m**3 - 40*m**4 + 22*m - 15*m**r - 4*m - 13*m.
-5*m*(m + 1)**3*(3*m - 1)
Let i(s) be the second derivative of -s**5/180 - s**4/18 + 2*s**3/3 - 20*s**2/9 + 102*s. Factor i(z).
-(z - 2)**2*(z + 10)/9
Let f(d) be the second derivative of d**6/10 + 7*d**5/30 - d**4/3 + 4*d**3/3 + 4*d. Let p(i) be the second derivative of f(i). Suppose p(l) = 0. What is l?
-1, 2/9
Let o(q) be the third derivative of 11*q**7/630 - q**6/36 - q**5/180 + 166*q**2. Find z, given that o(z) = 0.
-1/11, 0, 1
Let g(m) be the first derivative of -m**3/3 + 187*m**2/2 + 188*m + 552. Determine q so that g(q) = 0.
-1, 188
Let p(r) be the third derivative of 5*r**2 + 0*r + 0 - 1/40*r**5 + 1/120*r**6 - 1/3*r**3 - 1/4*r**4. Let m(q) be the first derivative of p(q). Factor m(h).
3*(h - 2)*(h + 1)
Let f be ((-672)/(-70) - 10)*(-50)/15. Let -f*o + 2/9*o**2 - 14/9 = 0. Calculate o.
-1, 7
Suppose -7*a = -3*a + 16. Let y(f) = -46*f**2 + 176*f + 50. Let q(o) = -9*o**2 + 35*o + 10. Let r(p) = a*y(p) + 22*q(p). Factor r(u).
-2*(u - 5)*(7*u + 2)
Let v(f) = 3*f - 35. Let p be v(13). Factor -12*w**2 + w**4 - 29*w**3 + 4 + 4*w**4 + 9*w**3 + 4*w - 13*w**p.
-4*(w + 1)**3*(2*w - 1)
What is f in -400/7*f**3 - 4/7*f + 80/7*f**2 + 0 = 0?
0, 1/10
Let d(a) be the second derivative of -a**5/70 + 17*a**4/14 - 289*a**3/7 + 4913*a**2/7 - 25*a. Factor d(k).
-2*(k - 17)**3/7
Let r(d) = 3*d**2 - 35*d - 58. Let m(z) = z**2 - 17*z - 29. Let o(x) = -5*m(x) + 2*r(x). Let b be o(-13). Solve 0 - 3/5*p**2 - 3/5*p**4 + 0*p - 6/5*p**b = 0.
-1, 0
Factor -1/7*x**2 + 80/7*x - 1600/7.
-(x - 40)**2/7
Let n = -57 + 60. Determine d, given that 42*d**3 - 19*d**4 - 10*d**5 - 40*d**5 + 40*d**2 + 8*d - 18*d**4 - n*d**4 = 0.
-1, -2/5, 0, 1
Let y(m) be the second derivative of m**4/42 + 5*m**3/7 - 22*m. Factor y(l).
2*l*(l + 15)/7
Suppose 3*a - 26 = 5*u, 5*a + 11*u - 7*u - 31 = 0. Let x be 1/(-3)*2 + 14/a. Factor 0*o + x + o**3 - 7/3*o**2.
(o - 2)*(o - 1)*(3*o + 2)/3
Let -363*h + 483*h + 1099*h - 79524 - 4*h**2 - 91*h = 0. Calculate h.
141
Suppose -12*f + 17*f + 60 = 0. Let v be (-4)/(-3*4) - (-2)/f. Let 5/6*g**4 + 5/6*g + 5/3*g**2 + 1/6*g**5 + 5/3*g**3 + v = 0. What is g?
-1
Factor -2*j**3 + 0*j**3 - 6*j**3 - j**4 - 3*j**3 - 30*j**2.
-j**2*(j + 5)*(j + 6)
Let y(v) be the second derivative of 0 + 169/4*v**4 + 57*v - 39*v**3 + 27/2*v**2. Solve y(l) = 0 for l.
3/13
Factor 61*o**3 - 4 + 62*o**3 - 124*o**3 + 7*o - 2*o**2.
-(o - 1)**2*(o + 4)
Let r = 74 - 69. Suppose 0 = -2*t - 5*c + 14, -2*c + 5 + 9 = r*t. Let -3/7 - 6/7*z - 3/7*z**t = 0. Calculate z.
-1
Let m be 3/(-63)*-3*2257. Let b = 323 - m. Factor 2/7*i**2 - 2/7*i**3 + 0 + b*i.
-2*i*(i - 2)*(i + 1)/7
Let c(r) = -r**3 - r**2 + 8*r - 6. Let o be c(-4). Suppose o*m - 3 = 9*m. Factor 4*q**3 - m*q**2 + 2/3*q - 5/3*q**4 + 0.
-q*(q - 1)**2*(5*q - 2)/3
Let w(l) be the first derivative of 2/45*l**5 - 4/9*l**2 + 4/9*l**3 - 2/9*l**4 + 10 + 2/9*l. Solve w(g) = 0.
1
Let p = -1052 - -1055. Let v(w) be the second derivative of 0 + 7*w + 0*w**6 + 1/21*w**7 + 0*w**4 + 0*w**2 + 1/3*w**p - 1/5*w**5. Factor v(m).
2*m*(m - 1)**2*(m + 1)**2
Suppose 3*x + 3*y + 15 = 0, 7*y - 20 = -5*x + 11*y. Let d(n) be the first derivative of -n**2 - 3/2*n**4 + x*n - 2/5*n**5 - 2*n**3 + 9. Factor d(a).
-2*a*(a + 1)**3
Let l(n) be the third derivative of -n**8/96 - 23*n**7/420 + 73*n**6/120 - 23*n**5/12 + 149*n**4/48 - 35*n**3/12 - 408*n**2. Let l(f) = 0. What is f?
-7, 5/7, 1
Let h(a) = a**3 + 7*a**2 + 10*a + 3. Let s be h(-5). Suppose 0 = 2*w - 3*m - 2, -3*w + s*m + 18 = 6*m. Solve 2/9*y**2 + 4/9*y**3 + 0 - 4/9*y - 2/9*y**w = 0.
-1, 0, 1, 2
Let y(h) be the third derivative of -h**5/30 + 11*h**4/6 - 40*h**3/3 - 3*h**2 - 2. Let y(p) = 0. What is p?
2, 20
Let w(n) = 5*n - 10. Let k be w(4). Factor 2*z + 0*z - 12*z**3 + k*z**3.
-2*z*(z - 1)*(z + 1)
Let r(t) = -2*t**3 + 2*t**2 + 2*t - 6. Let o(w) = 2*w**3 - 2*w**2 - 2*w + 7. Let y = 7 - 3. Let q(a) = y*o(a) + 5*r(a). Factor q(u).
-2*(u - 1)**2*(u + 1)
Let m(a) be the second deri