+ 1)*(i + 3)/3
Let z(w) be the first derivative of -w**7/105 + w**6/60 + 33*w**2 - 10. Let g(y) be the second derivative of z(y). Solve g(b) = 0 for b.
0, 1
Let k(a) be the first derivative of a**7/105 + a**6/10 + a**5/10 - 5*a**4/6 - 65*a**2/2 - 23. Let p(h) be the second derivative of k(h). Solve p(u) = 0 for u.
-5, -2, 0, 1
Suppose 8*f + 5*c + 10 = 9*f, -15 = -2*f + 5*c. Find s, given that -6*s**3 + 2*s**2 + 629*s**f - 627*s**5 + 0 + 4*s - 2*s**4 + 0 = 0.
-1, 0, 1, 2
Let r be 5/10 - (3 + (-133)/50). Let u(j) be the first derivative of 0*j + 1/15*j**6 + r*j**5 + 1 + 0*j**2 - 3/10*j**4 + 0*j**3. Factor u(f).
2*f**3*(f - 1)*(f + 3)/5
Let n(d) be the first derivative of d**3/3 + 27*d**2 + 200*d + 4309. Solve n(j) = 0.
-50, -4
Let r be (-131)/(-6) + ((-13)/6)/(-13). Factor -r*k**3 + 12*k**2 + 8*k**2 + 27*k**3.
5*k**2*(k + 4)
Let p be 10 - ((-3)/(-66) + ((-23452)/(-121))/26). Factor 0*b + 0 - p*b**2 - 5/2*b**3.
-5*b**2*(b + 1)/2
Let c be 6/84*128/(-96) - 6/(-14). Let p(t) be the first derivative of 1/8*t**4 + c*t**3 - 3/4*t**2 + 0*t - 20. Let p(l) = 0. What is l?
-3, 0, 1
Determine a so that -15*a**4 + 240 - 3*a**5 + 1528*a - 2*a**5 - 1968*a - 35*a**3 + 135*a**2 + 120*a**3 = 0.
-4, 1, 3
Suppose 0 = -3*n + 2*v + 12, 44*v + 16 = 4*n + 41*v. Find f, given that 4/3*f**n - 19/3*f**3 - 23/3*f + 32/3*f**2 + 2 = 0.
3/4, 1, 2
Let a(z) be the third derivative of -z**7/105 + 9*z**6/5 + 109*z**5/30 - 4179*z**2. Determine n, given that a(n) = 0.
-1, 0, 109
Suppose -8/15 + 0*g + 22/5*g**3 + 46/15*g**2 + 34/15*g**4 + 2/5*g**5 = 0. Calculate g.
-2, -1, 1/3
Let m(x) be the first derivative of -4*x**3/3 - 113*x**2/2 + 3*x - 55. Let y(o) = 4*o**2 + 114*o - 2. Let s(d) = -2*m(d) - 3*y(d). Find v such that s(v) = 0.
-29, 0
Let l(f) be the third derivative of 0*f - 1/90*f**6 + 52/9*f**3 - 53/18*f**4 + 28/45*f**5 + 0 - 78*f**2. Factor l(k).
-4*(k - 26)*(k - 1)**2/3
Suppose -5*p + 99 = 84. Let -3*q**4 + 41*q**2 + 3*q**3 - 77*q**2 + 39*q**2 + 2*q**5 - 5*q**p + q**3 - q = 0. What is q?
-1, 0, 1/2, 1
Let i(j) be the first derivative of j**4/14 - 76*j**3/21 + 396*j**2/7 - 1296*j/7 - 615. Factor i(u).
2*(u - 18)**2*(u - 2)/7
Suppose 0 = -27*z + 16*z + 44. Suppose -o = -4*w + 5 + 4, 4*o + z = 0. Suppose -1 + 5/2*m - w*m**2 + 1/2*m**3 = 0. What is m?
1, 2
Let -4156/5*b**2 - 692/5 - 696/5*b**4 + 2769/5*b + 2774/5*b**3 + 1/5*b**5 = 0. Calculate b.
1, 692
Let w(v) be the first derivative of -v**3/12 + 259*v**2/8 + 261*v/2 + 2260. Factor w(b).
-(b - 261)*(b + 2)/4
Let t = 6879 - 6877. Let f(l) be the third derivative of 0*l - 6*l**t + 16/3*l**3 + 0 - 7/30*l**5 + 2/3*l**4 + 1/60*l**6. Suppose f(q) = 0. Calculate q.
-1, 4
Find y, given that 1168*y**2 + 372*y + 9303*y - 1280*y**3 - 2835 + 889*y**2 - 9577*y**2 = 0.
-7, 9/16
Let x(z) be the second derivative of 1/6*z**4 + 7*z + 2/3*z**3 - 7*z**2 + 0 + 1/60*z**5. Let s(n) be the first derivative of x(n). Factor s(c).
(c + 2)**2
Factor 11745*y**2 - 3*y**3 + 3*y**4 - 5947*y**2 - 5945*y**2 + 147*y.
3*y*(y - 7)*(y - 1)*(y + 7)
Let j(u) = u**3 + 17*u**2 - 62*u - 35. Let b be j(-20). Let s(z) be the second derivative of 0 + 0*z**2 + 3/20*z**b + 18*z - z**3 - 1/4*z**4. Factor s(r).
3*r*(r - 2)*(r + 1)
Let s(a) be the first derivative of 2*a**5/5 + 107*a**4/2 - 220*a**3/3 - 216*a**2 - 430. Let s(m) = 0. Calculate m.
-108, -1, 0, 2
Suppose -23*o - 85 = 30. Let y(l) = 2*l**3 + 6*l**2 - 3*l. Let r(b) = -9*b. Let f(u) = 5*u. Let d(p) = 11*f(p) + 6*r(p). Let n(z) = o*d(z) + y(z). Factor n(m).
2*m*(m - 1)*(m + 4)
Let z be (-1 - 12/(-8))*(2 - 2). Let f(s) be the third derivative of -1/18*s**3 + z + 0*s - 1/36*s**4 + 5*s**2 - 1/180*s**5. Factor f(y).
-(y + 1)**2/3
Suppose 4180/3*n + 5/3*n**2 + 4175/3 = 0. Calculate n.
-835, -1
Let v(h) = -6*h**3 - 2*h**2 + 493*h + 1126. Let d(q) = q**3 - 82*q - 188. Let s(p) = 39*d(p) + 6*v(p). Factor s(r).
3*(r - 12)*(r + 4)**2
Let u(k) = k**2 + 32*k + 64. Let w be (20/(-8))/(-2 - 25/(-12)). Let p be u(w). Find j such that 9/7*j**2 + 3/7*j**p + 15/7*j**3 - 27/7*j + 0 = 0.
-3, 0, 1
Factor 294 - 12*z**2 - 800*z - 135 - 19 + 73 + 55.
-4*(z + 67)*(3*z - 1)
Suppose 46*p - 119*p = 113*p. Let o(g) be the second derivative of -g + 0*g**2 + 5/3*g**4 + p*g**3 + 1/6*g**6 + 0 + 5/4*g**5. Let o(c) = 0. What is c?
-4, -1, 0
Suppose 4*h = 5*i + 80, 2*i - 5*h + 8 = -7. Let f = i + 56. Solve -36*c**3 - f*c**3 + 87*c**3 - 10*c**2 = 0.
0, 2/3
Suppose 0 = -m + 1 + 3. Suppose 0 = -2*j + 5*a + 3387, 4*a - 5090 = -3*j + 2*a. What is h in 1696 - j - m*h - 16*h**2 = 0?
-1/4, 0
Let x(q) be the first derivative of -2*q**3/3 + 89*q**2 - 176*q + 220. What is p in x(p) = 0?
1, 88
Let s(y) be the third derivative of y**9/1008 - 3*y**8/560 - y**7/280 + y**6/40 - 35*y**3/3 + 11*y**2. Let j(x) be the first derivative of s(x). Factor j(q).
3*q**2*(q - 3)*(q - 1)*(q + 1)
Let u = -322 - -326. Suppose 0 = -y, u*l + y + 3 = 5*l. Determine g so that 0 + 3*g**l + 11/4*g**4 + g**2 + 3/4*g**5 + 0*g = 0.
-2, -1, -2/3, 0
Let w(k) be the third derivative of k**6/300 - 133*k**5/150 - 269*k**4/60 - 9*k**3 - 2*k**2 - 63. Let w(u) = 0. What is u?
-1, 135
Suppose 17*k + 3 = 37. Let y(s) = s**3 - 2*s**2 + 6*s - 12. Let p be y(k). Let 0*x + 1/4*x**2 + p - 1/4*x**3 = 0. Calculate x.
0, 1
Let v(p) be the second derivative of -p**4/30 + 13*p**3/15 + 28*p**2 + 888*p. Find u, given that v(u) = 0.
-7, 20
Let d(r) = r - 5. Let w(h) = 2*h - 9. Let u be w(12). Let n be d(u). Suppose -8*y**3 + n*y**4 - 20*y**2 - 2 + 23*y**3 - 15*y + 12 = 0. Calculate y.
-2, -1, 1/2, 1
Let d(u) = -200*u - 26 + 10*u**3 - 198*u + 392*u + 6*u**2. Let r(l) = l**2 + l + 2. Let a(w) = -d(w) - 12*r(w). Factor a(q).
-2*(q + 1)**2*(5*q - 1)
Let s(k) = -5*k**3 - 33*k**2 - 64*k + 3. Let i(y) = -14*y**3 - 100*y**2 - 192*y + 8. Let m(h) = 3*i(h) - 8*s(h). What is z in m(z) = 0?
-16, -2, 0
Suppose -189*b - 35721/2 - 1/2*b**2 = 0. What is b?
-189
Factor 174/7*q - 153 - 3/7*q**2.
-3*(q - 51)*(q - 7)/7
Let v(m) be the third derivative of m**5/30 - m**4/24 - m**3/3 - 9*m**2. Let y be v(2). Find b such that b**2 + b**4 - y*b + 4*b**3 - 2*b**2 + b**4 - b**2 = 0.
-2, -1, 0, 1
Let n be 3 + 219/146*4/3. Let z(w) be the first derivative of -31 - 5/11*w**2 + 4/11*w + 1/22*w**4 - 2/55*w**n + 2/11*w**3. Suppose z(k) = 0. What is k?
-2, 1
Let h(t) be the third derivative of -t**5/90 - t**4/4 + 4*t**3 - 988*t**2. Factor h(q).
-2*(q - 3)*(q + 12)/3
Solve 116/5 + 118/5*f + 2/5*f**2 = 0 for f.
-58, -1
Let h(c) = c**4 + c**3 + 1. Let j(n) = -n**5 - 7*n**4 - 14*n**3 + 28*n**2 + 3. Let x(d) = 3*h(d) - j(d). Solve x(z) = 0 for z.
-7, -4, 0, 1
Let y(q) = -q**3 + 12*q**2 - q + 7. Let v be y(11). Let t be (-6)/v*-3 + (-176)/(-715). Factor t + 0*c**2 - 1/5*c**3 + 3/5*c.
-(c - 2)*(c + 1)**2/5
Let h be 11/(110/170) - (-30 - -45). Factor -3/4*l**4 + l + 3*l**h - 1/4*l**3 + 0.
-l*(l - 2)*(l + 2)*(3*l + 1)/4
Let i(h) be the second derivative of -h**4/4 - 4461*h**3/14 - 273*h**2 - 7030*h. Factor i(f).
-3*(f + 637)*(7*f + 2)/7
Let w(o) be the third derivative of o**5/45 + 188*o**4/9 + 70688*o**3/9 - 2*o**2 + 163*o. Factor w(q).
4*(q + 188)**2/3
Let h(m) be the third derivative of -m**6/360 - m**5/90 + 9*m**4/8 + 9*m**3 - 1443*m**2 + 2*m. Factor h(q).
-(q - 9)*(q + 2)*(q + 9)/3
Find b such that -3/5*b**4 + 20328/5 + 306/5*b**2 + 93/5*b**3 - 20724/5*b = 0.
-14, 1, 22
Suppose 336*t = 754*t - 836. Determine r so that 93750*r**3 - 16/9 - 7500*r**t + 200*r = 0.
2/75
Factor 439*s**2 + 300 + 394*s - 91*s**2 - 86*s**2 - 170*s**2 - 2*s**3.
-2*(s - 50)*(s + 1)*(s + 3)
Suppose -254/15*l - 14/5 - 16/15*l**3 - 116/5*l**2 = 0. Calculate l.
-21, -1/2, -1/4
Let j(w) be the second derivative of -12/5*w**4 - 1/150*w**6 - 216/5*w**2 + 0 + 157*w - 72/5*w**3 - 1/5*w**5. Factor j(s).
-(s + 2)*(s + 6)**3/5
Let c be (-6)/27 - 672/(-1080). Let g(q) be the first derivative of -c*q**5 + 4/3*q**3 + 14 - 1/2*q**4 + 0*q + 0*q**2. Factor g(k).
-2*k**2*(k - 1)*(k + 2)
Let l(i) be the second derivative of 0*i**2 - 1/14*i**4 + 2/21*i**3 + 0 + 1/70*i**5 + 101*i. Factor l(x).
2*x*(x - 2)*(x - 1)/7
Let x(z) = z**2 + 20*z + 49. Let l(p) = -p**2 - 21*p - 40. Let a be l(-19). Let t(v) = -v**2 - 1. Let y(f) = a*x(f) + 2*t(f). Factor y(b).
-4*(b + 5)**2
Let v = -5/1636 - 1053569/4908. Let o = 215 + v. Factor 1/3*h**3 + h**2 - 1/3*h - 2/3 - o*h**4.
-(h - 2)*(h - 1)*(h + 1)**2/3
Let