ctor t(l).
-3*l*(l + 1)**2/4
Let s = -21 + 27. Suppose 0 = -5*l + 5 + 20. Suppose 2*g**2 - g**4 - l*g**4 + s*g**2 + 2*g**5 = 0. What is g?
-1, 0, 2
Let l = -14013 + 41656/3. Let x = l - -129. Solve -8/3*j - 16/9 - x*j**2 - 2/9*j**3 = 0.
-2
Let t(h) be the third derivative of h**5/18 - h**4/18 - h**3/3 + 109*h**2. Factor t(g).
2*(g - 1)*(5*g + 3)/3
Let t be (8/(-6))/((-6)/9). Let m be 35/14 + (-1)/t. Solve -18*a + 16 + 4*a**2 - 2*a**2 + 2*a + 2*a**m = 0.
2
Let l(z) = -z**3 - 18*z**2 + 22*z + 62. Let f be l(-19). Let b(k) be the second derivative of -1/6*k**4 + 5*k + 4*k**2 + 2/3*k**3 + 0 - 1/20*k**f. Factor b(v).
-(v - 2)*(v + 2)**2
Let t(b) be the first derivative of 0*b + 3 + 1/2*b**2 + 5/24*b**4 - 1/3*b**3 + 7/60*b**5. Let i(o) be the second derivative of t(o). Factor i(w).
(w + 1)*(7*w - 2)
Factor 18*p**2 - 135*p**3 - p**4 + 16*p + 67*p**3 - 17 + 52*p**3.
-(p - 1)**2*(p + 1)*(p + 17)
Let h(y) be the second derivative of -1/54*y**4 - 4*y + 0*y**2 + 1/45*y**5 + 0 - 1/135*y**6 + 0*y**3. Factor h(x).
-2*x**2*(x - 1)**2/9
Let f(x) = 125*x**3 + 127*x**2 - 471*x - 600. Let j(w) = 42*w**3 + 42*w**2 - 158*w - 200. Let n(i) = -6*f(i) + 17*j(i). Factor n(o).
-4*(o - 2)*(3*o + 5)**2
Let a be 1176/88 + ((-4)/((-12)/(-6)) - 5). Factor 0*s + a*s**4 - 52/11*s**3 + 0 + 49/11*s**5 + 8/11*s**2.
s**2*(s + 2)*(7*s - 2)**2/11
Let d(r) be the first derivative of r**5/150 - 2*r**4/15 + 16*r**3/15 - r**2/2 - 2. Let k(z) be the second derivative of d(z). Factor k(w).
2*(w - 4)**2/5
Factor -3*n**2 - 2*n**3 - 4*n**3 + 7*n**3 + 5*n**4 - 4*n**4 - 2 - 5*n.
(n - 2)*(n + 1)**3
Let b = 1/67 - -257/737. Let s = -813/44 - -79/4. Factor -s*k - 6/11 - b*k**2.
-2*(k + 3)*(2*k + 1)/11
Let t = 193 + -156. Let y be (t/(-111))/(10/(-48)). Suppose 0 + 4/5*h + y*h**3 + 2/5*h**4 + 2*h**2 = 0. What is h?
-2, -1, 0
Let i be 1157/468 + 9*(-5)/20. Let -16/9*j - 14/9*j**2 - i = 0. What is j?
-1, -1/7
Let f be (1 + 2)/((-7)/14). Let b = 9 + f. Solve 7*u**2 + 8*u**2 - b*u**3 - 12*u**2 = 0.
0, 1
Let u be 8/28 + 78/21. Let r be 28/u - 9/3. Suppose -9/7*j**5 + 3*j - 24/7*j**r + 6/7 + 18/7*j**2 - 12/7*j**3 = 0. What is j?
-1, -2/3, 1
Let h(b) be the first derivative of -b**4/10 - 16*b**3/15 - 13*b**2/5 - 12*b/5 + 80. Factor h(k).
-2*(k + 1)**2*(k + 6)/5
Let b(f) be the first derivative of -f**3/2 - 9*f**2/2 - 12*f + 404. Factor b(x).
-3*(x + 2)*(x + 4)/2
Suppose -b - 4*a + 22 = b, -5*b - 4*a = -25. Let h be (b - 3) + -1 + 50/15. Factor 0 - h*v + 0*v**4 - 1/3*v**5 + 2/3*v**3 + 0*v**2.
-v*(v - 1)**2*(v + 1)**2/3
Let h(s) be the second derivative of -s**4/96 - s**3/12 - s**2/4 + 26*s. What is d in h(d) = 0?
-2
Suppose -1090 = 10*z - 12*z. Factor -2*k**2 + k**2 - 4 + 549*k - z*k.
-(k - 2)**2
Let p(k) be the third derivative of -1/48*k**5 + 0*k - 5/24*k**3 - 5/48*k**4 + 0 + 4*k**2. Solve p(v) = 0.
-1
Let u(n) be the second derivative of -n**7/630 + n**6/72 - 2*n**5/45 + n**4/18 + n**2/2 - 10*n. Let b(g) be the first derivative of u(g). Solve b(x) = 0 for x.
0, 1, 2
Suppose 0*b - 2*b = -r - 5, -3*b = -5*r + 3. Determine n so that 16*n + 15*n**5 - 10*n**r + n**4 + n**4 - 8 - 2*n**2 - 13*n**5 = 0.
-2, 1
Find y, given that -22/5*y**4 + 68/5*y**2 - 5*y - 1/5*y**5 + 26/5*y**3 - 46/5 = 0.
-23, -1, 1, 2
Let z(a) = -2*a**3 + 14*a**2 - 2*a - 8. Let l be z(6). Factor -40 - l*f + 12*f**3 - 8*f**3 - 4*f**2 - 4*f**2.
4*(f - 5)*(f + 1)*(f + 2)
Let g(i) = i + 0*i**3 - 7*i**3 - 9 + 5*i**4 + i**2 + 6*i + 3. Let z(d) = -4*d**4 + 6*d**3 - d**2 - 6*d + 5. Let m(o) = 3*g(o) + 4*z(o). Let m(c) = 0. What is c?
-1, 1, 2
Let v(d) be the third derivative of 0 - 1/10*d**5 + 0*d + 3*d**2 + 0*d**6 + 1/2*d**3 + 0*d**4 + 1/70*d**7. Factor v(x).
3*(x - 1)**2*(x + 1)**2
Let f(b) = -b**4 - 6*b**3 - 6*b**2 + 10*b. Let c(l) = 4*l**4 + 20*l**3 + 19*l**2 - 31*l. Let w(k) = 2*c(k) + 7*f(k). Factor w(m).
m*(m - 2)**2*(m + 2)
Suppose -3*k = -k - 5*x + 1, -3*k = -5*x - 11. Let 4/3*f**2 + k - 8*f = 0. Calculate f.
3
Let d(q) be the third derivative of -q**8/112 + q**7/70 + q**6/20 + 2*q**2 + 16*q. Factor d(f).
-3*f**3*(f - 2)*(f + 1)
Let u(q) be the first derivative of 4*q**6/15 - 6*q**5/25 - 17*q**4/10 + 8*q**3/5 + 4*q**2/5 + 787. Determine w so that u(w) = 0.
-2, -1/4, 0, 1, 2
Let m(h) be the third derivative of 1/330*h**5 - 6*h**2 + 0 + 0*h + 0*h**3 + 1/132*h**4. Determine s so that m(s) = 0.
-1, 0
Factor -9/2*o + 1/2*o**2 - 5.
(o - 10)*(o + 1)/2
Let f = -17072/5 + 3415. Factor 2/5*m + 0 - f*m**2 + 1/5*m**3.
m*(m - 2)*(m - 1)/5
Factor 2/3*u**5 + 10/3*u**4 + 0*u + 0*u**2 + 0 + 0*u**3.
2*u**4*(u + 5)/3
Let o be (-26)/(-6) + -3 + (-7)/(-6). Determine k, given that -1/2*k**4 - 9/2*k**2 + 7/2*k + o*k**3 - 1 = 0.
1, 2
Let d(j) = 10*j**3 + 5*j**2 - 15*j - 10. Let i(w) = -11*w**3 - 5*w**2 + 16*w + 12. Let h(q) = 6*d(q) + 5*i(q). Suppose h(z) = 0. Calculate z.
-2, 0, 1
Suppose 3*h - 40 - 18 = t, t + 60 = 2*h. Let n = t + 64. Solve -1/2*q**4 - 1/4*q**5 - 1/4*q**3 + 0*q**2 + 0*q + n = 0 for q.
-1, 0
Factor 1/8*t**5 + 3/8*t + 0 - 1/4*t**2 + 1/4*t**4 - 1/2*t**3.
t*(t - 1)**2*(t + 1)*(t + 3)/8
Let o(u) = 4*u**3 + 51*u**2 + 99*u + 244. Let i be o(-11). Factor 0 + 2/3*k**3 + i*k**2 + 0*k.
2*k**2*(k + 3)/3
Let k be (-6)/2*(51 + -8 + 4). Let c = 144 + k. Determine g, given that 2/5*g + 3/5*g**2 + 0 + 1/5*g**c = 0.
-2, -1, 0
Let s(f) be the third derivative of -f**7/105 + 17*f**6/60 + 3*f**5/5 - 66*f**2 - 6*f. Let s(n) = 0. Calculate n.
-1, 0, 18
Let y = -1379 - -6899/5. Let q(r) be the first derivative of 2 + 0*r + 4/3*r**3 - 4*r**2 - y*r**5 + 2*r**4. Find m such that q(m) = 0.
-1, 0, 1, 2
Suppose 11094*w**2 + 3631*w**3 + 534*w**3 + 866*w**3 - 252*w**4 + 3*w**5 = 0. Calculate w.
-2, 0, 43
Suppose 0 = 10*v - 8 - 32. Let w(o) be the first derivative of 7 - 1/2*o**v + 2/5*o**5 + 0*o**2 + 0*o + 1/3*o**6 - 2/3*o**3. Factor w(a).
2*a**2*(a - 1)*(a + 1)**2
Solve -50*z - 38*z**2 - 37*z**2 + 76*z**2 - 51 = 0.
-1, 51
Let v(m) = 7*m + 6. Let h be v(0). Solve 7*f**2 + 0*f**2 + 4*f**2 - 25 + 20*f - h*f**2 = 0 for f.
-5, 1
Let a = 361/528 - 3/176. Factor 4/3*m - 2 + a*m**2.
2*(m - 1)*(m + 3)/3
Let l(o) be the second derivative of -o**5/20 + 91*o**4/12 + 24*o - 12. Suppose l(y) = 0. Calculate y.
0, 91
Suppose 7*r - 31 = 4. Let z(q) be the second derivative of 0 - 1/30*q**6 + 0*q**2 - 5/12*q**4 + 1/5*q**r + 2*q + 1/3*q**3. Factor z(f).
-f*(f - 2)*(f - 1)**2
Let d = 56 - 54. Solve 18*p - 5*p**5 + 6*p + 20*p**d - 4*p - 15*p**3 - 20*p**4 = 0 for p.
-2, -1, 0, 1
Let j(v) = -2*v**3 + 6*v**2 - 6*v - 2. Let f(q) = 4*q**3 - 8*q**2 + 12*q + 4. Let r(u) = -3*f(u) - 5*j(u). Suppose r(d) = 0. What is d?
-1
Let f be (-12)/(-2 - 2) + -3. Let b be (f - -1)*(-1 - -1). Find v such that -3*v**3 + 12*v + b*v**3 - 9 + 7*v**3 + 5 - 12*v**2 = 0.
1
Let i(p) = -7*p + 10*p**4 + p + p - 10*p**2 + 5*p**3 - 5. Let v(b) = 11*b**4 + 6*b**3 - 11*b**2 - 6*b - 6. Let g(t) = 6*i(t) - 5*v(t). Factor g(k).
5*k**2*(k - 1)*(k + 1)
Suppose -8 - 2 = -5*i. Find u such that -4 - u + 2 + i + u**3 = 0.
-1, 0, 1
Let w(q) be the second derivative of 1/3*q**3 + 0*q**2 + 1/12*q**4 - 1/20*q**5 + 0 + 16*q. What is i in w(i) = 0?
-1, 0, 2
Let i = 4 - 1. Suppose 0 - 2 - 12*q**2 + i - 24*q - 17 - 2*q**3 = 0. What is q?
-2
Let l(z) = -55*z**4 + 210*z**3 - 165*z**2 + 10*z. Let p = 35 + 10. Let a(q) = 5*q**4 - 19*q**3 + 15*q**2 - q. Let x(i) = p*a(i) + 4*l(i). Factor x(o).
5*o*(o - 1)**3
Let g(z) be the first derivative of 7 + 44/51*z**3 - 6/17*z**5 + 2/17*z**4 - 6/17*z**2 - 14/17*z + 2/51*z**6. Suppose g(u) = 0. What is u?
-1, -1/2, 1, 7
Suppose -11*h = -14*h. Let z(p) be the first derivative of 1/15*p**3 + h*p + 0*p**2 - 3. Determine m, given that z(m) = 0.
0
Let i(y) = y**2 - 2*y - 12. Let d = -21 + 26. Let w be i(d). Factor -2/3*r**w - 8/3*r + 0 + 8/3*r**2.
-2*r*(r - 2)**2/3
Suppose -4*t = t + 125. Let f be (t/(-15))/((-2)/(-6)). Solve -3*g**f + 6*g**4 + 3*g - 6*g**2 + 2*g - 2*g = 0 for g.
-1, 0, 1
Let j(a) be the second derivative of -a**7/12600 - a**6/720 - 5*a**4/2 - 32*a. Let o(w) be the third derivative of j(w). Factor o(s).
-s*(s + 5)/5
Suppose 59*m = 12*m + 235. Let a(o) be the first derivative of 2/45*o**3 + m - 2/15*o**4 - 2/15*o + 4/15*o**2. Solve a(i) = 0.
-1, 1/4, 1
Let n(p) be the second derivative of p**5/150 + p**4/18 + 4*p**3/45 - 102*p. Factor n(h).
2*h*(h + 1)*(h + 4)/15
Let p(b) = 5*b**3 - 38*b**2 - 24