 - 165*h.
5*(6*h + 7)*(9*h + 2)
What is b in -30258/11 - 2/11*b**2 - 492/11*b = 0?
-123
Let z(h) = -h**2 + 104*h - 676. Let i(x) = -3*x**2 + 208*x - 1352. Let o(k) = 3*i(k) - 5*z(k). Suppose o(b) = 0. Calculate b.
13
Let c(k) be the second derivative of 0 - 2*k**3 - 13*k + 7/6*k**4 - 1/15*k**6 + 0*k**2 + 0*k**5. Suppose c(w) = 0. Calculate w.
-3, 0, 1, 2
Solve -10*n**4 + 81 + 58*n**3 + 1/2*n**5 - 117/2*n - 71*n**2 = 0 for n.
-1, 1, 2, 9
Suppose 90 = -7*s + 69. Let f be (s/(-5))/((-2)/(-5)). Factor 15/4*d**2 - f*d**3 + 3/4 - 3*d.
-3*(d - 1)**2*(2*d - 1)/4
Let u = 1367/15 - 91. Let y(r) be the first derivative of 3/5*r**2 + 4 + 4/5*r + u*r**3. Factor y(t).
2*(t + 1)*(t + 2)/5
Let u(a) = -2*a**3 - 10*a**2 + 13*a. Let d be u(-6). Let p be (10 - 1)*(-2)/d. Factor g**p - 1/2*g**2 + 0 - 1/2*g**4 + 0*g.
-g**2*(g - 1)**2/2
Let n(j) = 5*j**2 - 5*j + 3. Let s(p) be the second derivative of -7*p**4/6 + 8*p**3/3 - 5*p**2 + p - 26. Let h(t) = 8*n(t) + 3*s(t). Factor h(k).
-2*(k - 3)*(k - 1)
Let q(b) be the third derivative of 1/9*b**5 + 0 - 1/90*b**6 - 4/9*b**4 + 0*b - 23*b**2 + 8/9*b**3. Find z, given that q(z) = 0.
1, 2
Let c = -288 - -291. Let i(g) be the second derivative of -1/5*g**2 - 1/60*g**4 + 0 + 2*g + 1/10*g**c. Find s such that i(s) = 0.
1, 2
Let g = -29059/9 + 3229. Determine h, given that 0 - g*h**2 + 16/9*h = 0.
0, 8
Factor -78*b**2 - 158184 + 6084*b + 1/3*b**3.
(b - 78)**3/3
Let i be -4 + 5/(80/68). Let y be (0/((6 - 2) + -2))/2. Find r such that 0*r - 1/4*r**4 + 1/4*r**2 + 1/4*r**5 + y - i*r**3 = 0.
-1, 0, 1
Let y(f) be the second derivative of -3*f**3 + 27/2*f**2 + 0 - 6*f + 1/4*f**4. Factor y(s).
3*(s - 3)**2
Find j, given that 10*j**2 + 85*j - 2*j**3 + 48*j - 149*j + 8 = 0.
1, 2
Let q be (-12 - -18) + 686/(-119). Factor 6/17*s**2 - q + 2/17*s.
2*(s + 1)*(3*s - 2)/17
Let s(q) be the second derivative of -q**7/336 + 7*q**3/6 + 17*q. Let t(g) be the second derivative of s(g). Let t(o) = 0. What is o?
0
Let s(j) be the second derivative of j**5/20 + j**4/6 - j**3/3 - j**2/2 + 5*j. Let z be s(-2). Factor -2 - z*t - 53*t**2 + t**3 + 53*t**2.
(t - 2)*(t + 1)**2
Let t(i) be the third derivative of 0 - 1/48*i**4 + 0*i - 1/240*i**6 + 16*i**2 - 1/60*i**5 + 0*i**3. What is z in t(z) = 0?
-1, 0
Let z be ((-10)/(-60) + (-685)/(-210))/((-10)/(-7)). Suppose -27/5*j**2 - 3*j + z = 0. What is j?
-1, 4/9
Let l(t) be the first derivative of t**3/6 - 31*t**2/4 - 16*t + 105. Find o such that l(o) = 0.
-1, 32
Factor 2/11*v**2 + 21632/11 - 416/11*v.
2*(v - 104)**2/11
Let i(y) = y**2 + y - 2. Let t(n) = 5*n**3 + 40*n**2 + 75*n + 30. Let s(p) = 5*i(p) - t(p). Solve s(u) = 0 for u.
-4, -2, -1
Let w(o) be the third derivative of o**7/1365 - 7*o**6/780 + 17*o**5/390 - 17*o**4/156 + 2*o**3/13 + 79*o**2. Let w(q) = 0. What is q?
1, 2, 3
Let w(o) be the third derivative of -o**6/24 + o**5/12 + 15*o**4/8 - 15*o**3/2 + 15*o**2. Factor w(s).
-5*(s - 3)*(s - 1)*(s + 3)
Let l = -19 - -25. Suppose -2*h + l = 0, -3*v - 5*h = -37 - 2. Let i**2 - 16*i - 2*i**3 - v + 2*i**2 - 13*i**2 = 0. What is i?
-2, -1
Let o be 0 + 0 - -3*344/264. Let u = o + -181/66. Let 1/3*g + 0 - 5/6*g**2 - u*g**3 = 0. Calculate g.
-1, 0, 2/7
Let g(a) be the third derivative of a**8/6720 + a**7/1680 - a**6/1440 - a**5/240 - 29*a**3/6 + 6*a**2. Let t(l) be the first derivative of g(l). Factor t(i).
i*(i - 1)*(i + 1)*(i + 2)/4
Find y such that -12*y**5 + 656*y + 192 - 40*y**4 + 1984/3*y**2 + 428/3*y**3 = 0.
-3, -2/3, 4
Let u(s) be the second derivative of s**6/60 + 31*s**5/10 + 661*s**4/4 + 1891*s**3/3 + 3721*s**2/4 - 708*s - 2. Solve u(v) = 0 for v.
-61, -1
Suppose -223*i + 222*i = -4*m - 8, -m = 1. Factor 3/7*g + 0*g**3 + 6/7*g**2 + 0 - 3/7*g**5 - 6/7*g**i.
-3*g*(g - 1)*(g + 1)**3/7
Solve -124/9*j + 88/3 - 4/9*j**2 = 0 for j.
-33, 2
Let s(q) = 43*q**4 + 99*q**3 + 62*q**2 - 16*q. Let n(f) = 15*f**4 + 33*f**3 + 21*f**2 - 6*f. Let o(x) = -8*n(x) + 3*s(x). Let o(t) = 0. What is t?
-3, -2/3, 0
Factor 1/4*w**2 - 1/2*w + 1/2*w**3 + 0 - 1/4*w**4.
-w*(w - 2)*(w - 1)*(w + 1)/4
Let l = 6 + -7. Let v(t) = -2*t**3 - t**2 + 1. Let j be v(l). Factor -14*u - 36*u**3 - 36*u**j - 6*u**5 - 8*u**3 - 18*u**4 - 2 - 8*u**4.
-2*(u + 1)**4*(3*u + 1)
Let p(g) be the second derivative of 5*g**4/3 - 32*g**3 - 40*g**2 - 294*g. Factor p(d).
4*(d - 10)*(5*d + 2)
Suppose 12 = -5*c + 27. Let 97*j**3 - 85*j**2 + 79 - 7*j**c - 25*j**4 - 59 = 0. What is j?
-2/5, 1, 2
Let z(q) be the first derivative of 2*q**5/105 - 13*q**4/42 + 235. Find i such that z(i) = 0.
0, 13
Let d(z) be the second derivative of z**5/10 - 29*z**4/6 + 26*z**3/3 + 56*z**2 + 29*z + 8. Factor d(o).
2*(o - 28)*(o - 2)*(o + 1)
Let h(k) = 115*k**2 - 819*k + 34434. Let d(q) = 21*q**2 - 164*q + 6887. Let r(p) = 22*d(p) - 4*h(p). Factor r(t).
2*(t - 83)**2
Let y(b) = -b + 4. Let v be y(1). Let -9*g**2 + 20*g + 12 - 20*g + 3*g**v = 0. What is g?
-1, 2
Suppose 2/7*k**2 - 2/7*k**4 + 4/7*k - 4/7*k**3 + 0 = 0. What is k?
-2, -1, 0, 1
Let i(w) be the second derivative of -w**5/240 - w**4/96 + w**3/12 + w**2 + 34*w. Let t(f) be the first derivative of i(f). Factor t(j).
-(j - 1)*(j + 2)/4
Let d be (66/77)/((-90)/(-70)). Factor 4/9*r + 1/9*r**4 - 5/9*r**3 - 8/9 + d*r**2.
(r - 2)**3*(r + 1)/9
Factor 342*d**2 - d**3 - 282*d**2 - 2*d**3 - 57*d.
-3*d*(d - 19)*(d - 1)
Let x(g) be the first derivative of 3*g**6/7 + 48*g**5/35 + 11*g**4/7 + 16*g**3/21 + g**2/7 - 44. Factor x(s).
2*s*(s + 1)**2*(3*s + 1)**2/7
Let k(l) be the first derivative of -5*l**4 - 212*l**3/3 - 310*l**2 - 300*l + 26. Suppose k(v) = 0. What is v?
-5, -3/5
Let c be (-10)/(-15) + 7/3. Factor 16*z**2 + 8*z**5 - 3*z**3 + 0*z**c - 2 - 4*z - 14*z**4 - z**3 + 0*z**3.
2*(z - 1)**3*(z + 1)*(4*z + 1)
Let m(r) = 2*r**2 + 21*r + 12. Let k be m(-10). Factor 8*h + 5*h**k - 2*h**3 + 23*h**2 + 7*h**3 + 7*h**3.
4*h*(h + 2)*(3*h + 1)
Determine k, given that 737 + 14*k**3 - 18*k**3 - 721 - 28*k**2 + 12*k**4 + 4*k**5 = 0.
-2, -1, 1
Let g(c) be the first derivative of c**4/18 + 76*c**3/27 + 35*c**2/3 + 287. Factor g(d).
2*d*(d + 3)*(d + 35)/9
Let t = -4828 - -463495/96. Let f(i) be the third derivative of -1/480*i**6 - 2*i**2 + 0 + 0*i - t*i**4 + 1/8*i**3 + 1/48*i**5. Find x, given that f(x) = 0.
1, 3
Let q(p) be the third derivative of -p**7/1050 - p**6/120 - 3*p**5/100 - 7*p**4/120 - p**3/15 - 78*p**2. Factor q(b).
-(b + 1)**3*(b + 2)/5
Determine a, given that -28*a**3 - 11 + 11 + 15*a**5 - a**5 + 94*a**4 = 0.
-7, 0, 2/7
Let 155*r + 13*r - 228*r**2 - 3*r**5 + 8*r**4 - 11*r**4 + 90*r**3 = 0. Calculate r.
-7, 0, 2
Factor 201*m + 108 - 131*m - 109*m + 3*m**2.
3*(m - 9)*(m - 4)
Let p(l) be the first derivative of -2*l**3/33 - 24*l**2/11 - 6. Factor p(f).
-2*f*(f + 24)/11
Let s = -25 - -42. Let g = 19 - s. Suppose 15*f**2 + 14*f**2 - 26*f**g - 6*f + 0 + 3 = 0. What is f?
1
Let w(c) = -c**2 + 29*c + 62. Let p(d) = -d - 2. Let n(b) = 12*p(b) + 3*w(b). Factor n(h).
-3*(h - 27)*(h + 2)
Let b(j) be the third derivative of 11/728*j**8 - 1/78*j**4 + 0*j**3 + 0 - 8*j**2 + 7/260*j**6 - 61/1365*j**7 + 3/130*j**5 + 0*j. Solve b(a) = 0 for a.
-1/3, 0, 2/11, 1
Suppose -12*g - 104 = -128. Let k(r) be the second derivative of 1/30*r**4 + 0*r**3 + 0*r**g + 0 + 4*r + 1/25*r**6 + 1/105*r**7 + 3/50*r**5. Factor k(p).
2*p**2*(p + 1)**3/5
Factor 3*g**2 + 0*g + 3*g**4 + 1/2*g**5 + 11/2*g**3 + 0.
g**2*(g + 1)*(g + 2)*(g + 3)/2
Let 3/5*o**2 + 9/5*o + 6/5 = 0. Calculate o.
-2, -1
Let v(n) be the first derivative of -n**6/9 + 4*n**5/5 + 4*n**4/3 - 4*n**3/3 - 7*n**2/3 - 154. Let v(q) = 0. Calculate q.
-1, 0, 1, 7
Let a(d) be the second derivative of d**5/140 + 95*d**4/84 + 329*d**3/6 + 2209*d**2/14 - 2*d + 28. Suppose a(h) = 0. What is h?
-47, -1
Factor 8/5*b**2 + 12/5 + 22/5*b - 2/5*b**3.
-2*(b - 6)*(b + 1)**2/5
Let k(l) be the second derivative of 0 + 1/2*l**4 + 0*l**2 + 0*l**3 + 1/10*l**5 - 5*l. Let k(a) = 0. Calculate a.
-3, 0
Let d = -23 - -43. Let f be (12/d)/(1/5). Factor 2*j**2 - 3*j**3 - 3*j**3 - 2 - 2*j + 8*j**f.
2*(j - 1)*(j + 1)**2
Suppose 0*r = -2*r + 6. Suppose -r*x = 4*d - 5 - 0, 4*d = 5*x + 13. Factor 2*q**2 + 2*q**d + 12*q + 0*q.
4*q*(q + 3)
Let q(v) be the second derivative of -32*v**6/15 + 56*v**5/5 + 991*v**4/3 + 968*v**3/3 + 120*v**2 + 299*v. Suppose q(g) = 0. Calculate g.
-6, -1/4, 10
Let r(a) be the first derivative of 3*a**5/35 - 3*a**4/7 + 2