+ 1)*(3*g + 1)
Let c(x) be the third derivative of x**7/1260 + x**6/720 - x**5/20 - 13*x**4/36 - 10*x**3/9 - 219*x**2. Factor c(a).
(a - 5)*(a + 2)**3/6
Suppose -2*l - 3*j + 4 = 0, 2*l - 10 = -3*l + 3*j. Let c(w) be the first derivative of 3 - w**l - 1/3*w**3 + 0*w. Solve c(b) = 0 for b.
-2, 0
Let 2/7*p**5 + 2/7*p**4 - 6/7*p**3 + 0 - 2/7*p**2 + 4/7*p = 0. Calculate p.
-2, -1, 0, 1
Let o(z) = z**3 + 9*z**2 - 11*z - 2. Let t be o(-10). Suppose 0 = -4*i + 4*g + 28, -i = -g + 3*g + t. Factor 4*k**i - 14*k**3 + 7*k**4 + 2*k - 5*k**4 + 6*k**4.
2*k*(k - 1)**2*(4*k + 1)
Factor 0*r - 10/11*r**2 + 47/11*r**3 - 9/11*r**4 + 0.
-r**2*(r - 5)*(9*r - 2)/11
Let a be (-2 - (-2 + -2)) + -2. Suppose 0*v - v + 2 = a. Factor 4*t**3 - 3*t - 15*t**v + 3*t**2 + 7*t + 4*t.
4*t*(t - 2)*(t - 1)
Let u(s) be the second derivative of 0*s**4 - 7*s + 1/210*s**7 + 0 + 1/100*s**5 + 1/75*s**6 + 0*s**2 + 0*s**3. Factor u(o).
o**3*(o + 1)**2/5
Let r(t) be the first derivative of -3 - 1/2*t - 1/2*t**3 + 1/8*t**4 + 3/4*t**2. Factor r(k).
(k - 1)**3/2
Let p(b) = 12*b + 53. Let z be p(-15). Let t = z + 897/7. Factor -4*d - 16/7*d**2 + t.
-4*(d + 2)*(4*d - 1)/7
Let d(w) be the second derivative of -1/20*w**5 + 0 - 1/2*w**2 + 1/12*w**4 - 4*w + 1/6*w**3. Factor d(v).
-(v - 1)**2*(v + 1)
Let r = -454 - -3186/7. Solve r*z**4 + 0 + 0*z + 4/7*z**2 + 2/7*z**5 + 10/7*z**3 = 0 for z.
-2, -1, 0
Let d(i) be the third derivative of -i**8/1176 - 4*i**7/735 + i**6/84 - 19*i**2 - 2*i. Factor d(q).
-2*q**3*(q - 1)*(q + 5)/7
Let -2*h + 0 + 7/2*h**2 - 3/2*h**3 = 0. Calculate h.
0, 1, 4/3
Let a be 30/(-18) + 77/21. Factor 0 - 1/4*t**a + 1/4*t.
-t*(t - 1)/4
Let c(o) be the second derivative of o**6/165 - 2*o**5/5 + 73*o**4/11 + 92*o**3/3 + 529*o**2/11 - 48*o. Factor c(k).
2*(k - 23)**2*(k + 1)**2/11
Let u = 18 + -24. Let h be -4*u/8 - -3. Factor -p**4 + 2*p**4 - p**5 - 6*p**4 + 8*p + 4*p**2 - h*p**3.
-p*(p - 1)*(p + 2)**3
Suppose 9 = 2*o + o. Determine c, given that c**3 + 6*c**2 + c**o - 16*c**2 + 72 - c**5 + 13*c**3 - 60*c = 0.
-3, 2
Let r(k) be the second derivative of k**8/5040 + k**7/1890 - k**6/270 - 2*k**4/3 + 2*k. Let y(q) be the third derivative of r(q). Find j such that y(j) = 0.
-2, 0, 1
Let z(o) = 273*o + 1096. Let h be z(-4). Let -2/5*d**h - 1/5*d**5 + 2/5*d**2 + 0*d**3 + 1/5*d + 0 = 0. What is d?
-1, 0, 1
Let v = 2311/688 - 53/16. Let d = 166/129 + v. Factor -2/3 + 1/3*f**3 + 5/3*f - d*f**2.
(f - 2)*(f - 1)**2/3
Let x(q) be the first derivative of -q**4/3 + 18*q**2 - 45*q + 35. Let k(n) be the first derivative of x(n). Factor k(a).
-4*(a - 3)*(a + 3)
Let l(n) be the third derivative of 0*n + 2*n**2 + 0*n**3 + 1/24*n**6 + 0 - 1/2*n**5 + 15/8*n**4. Factor l(m).
5*m*(m - 3)**2
Let r = -302 - -304. Let q(b) be the third derivative of -1/60*b**6 + 1/12*b**4 + 0*b**3 + 0*b**5 + 0*b + 0 - b**r. Factor q(t).
-2*t*(t - 1)*(t + 1)
Let o(i) = i. Let g(q) be the second derivative of -3*q**4 - 6*q**3 - 4*q**2 - 14*q. Let x(a) = -g(a) + 8*o(a). What is s in x(s) = 0?
-1, -2/9
Let m be 20/(-39) + 4/6. Let z(v) = -2*v**3 + 71*v + 10. Let d be z(6). Factor m*f**2 - 4/13*f**3 + 0*f + 0 + 2/13*f**d.
2*f**2*(f - 1)**2/13
Suppose 0 = z - 5*a - 3 - 4, -3*z + 1 = 5*a. Solve -7*f**2 - 12*f**z + 18 + 4*f**2 - 39*f = 0 for f.
-3, 2/5
Let k(h) be the first derivative of 3*h**5/5 - 3*h**4/4 + h**3/4 - 45. Factor k(s).
3*s**2*(2*s - 1)**2/4
Let t be (7/420)/((-10)/(-125)). Let o(v) be the third derivative of -7/240*v**5 + t*v**4 - 1/6*v**3 + v**2 - 3/160*v**6 + 0 + 0*v. Factor o(c).
-(c - 1)*(c + 2)*(9*c - 2)/4
Let n(x) be the second derivative of 29*x + 1/6*x**3 + 0 - 1/20*x**5 - 1/2*x**2 + 1/12*x**4. Factor n(f).
-(f - 1)**2*(f + 1)
Suppose -4*l - j + 17 = 0, -l + 2*j - 7 = -0*l. Suppose -3*f + 9 - l = 0. Find w such that 2*w**3 + 2*w**4 - 5/2*w + 1/2*w**5 - 1 - w**f = 0.
-2, -1, 1
Factor -224/3*r**3 - 332/3*r**4 + 2*r**5 + 0*r**2 + 0*r + 0.
2*r**3*(r - 56)*(3*r + 2)/3
Let z be 6/(3 + -1) + 17/(-16 - 1). Factor 0*u**z + 0*u + 3/8*u**3 + 3/4*u**4 + 0 + 3/8*u**5.
3*u**3*(u + 1)**2/8
Let q(a) = a**2 - a + 1. Let r(k) = -5*k - 1. Let j be r(-9). Let b(s) = -2*s**4 - 2*s**3 + 24*s**2 - 20*s + 22. Let u(y) = j*q(y) - 2*b(y). Factor u(i).
4*i*(i - 1)*(i + 1)**2
Let f(q) be the third derivative of -2*q**6/15 + 29*q**5/25 - 5*q**4/6 - 8*q**3/5 - 3*q**2 - 91*q. Let f(h) = 0. Calculate h.
-1/4, 3/5, 4
Suppose 8*b + 5/2*b**2 - 32/3 + 1/6*b**3 = 0. What is b?
-8, 1
Let l(f) be the first derivative of -1/3*f**2 + 0*f + 2/9*f**3 - 6. Factor l(z).
2*z*(z - 1)/3
Let m be 4/(-6) - 320/(-48). Suppose -5*p + 18 = 4*y, 2*y + m = -2*p + 7*y. Find n, given that 0 - 12/5*n**p - 3/5*n = 0.
-1/4, 0
Let k(s) be the second derivative of 4*s**6/15 + 13*s**5/10 + s**4/2 + 5*s + 1. Determine f so that k(f) = 0.
-3, -1/4, 0
Let u(t) be the third derivative of -t**7/42 + 3*t**6/8 - 5*t**5/4 - 125*t**4/24 + 235*t**2. Factor u(y).
-5*y*(y - 5)**2*(y + 1)
Let s(f) = -f**3 + f**2 - f - 1. Let c(r) = 7*r**3 - 14*r**2 + 19*r. Let b(t) = c(t) + 6*s(t). Factor b(k).
(k - 6)*(k - 1)**2
Let j(b) be the first derivative of b**4/18 - 2*b**3/3 + 3*b**2 + 6*b + 13. Let q(d) be the first derivative of j(d). Factor q(c).
2*(c - 3)**2/3
Let f(a) be the first derivative of 7 + 57/16*a**4 + 25/8*a**6 + 21/2*a**5 - 6*a - 31/2*a**3 - 33/2*a**2. What is r in f(r) = 0?
-2, -1, -2/5, 1
Suppose 0 = -j - 30 + 30. Let o(g) be the third derivative of 5*g**2 + 0*g + 2/33*g**3 - 1/330*g**5 + 1/132*g**4 + j. Factor o(b).
-2*(b - 2)*(b + 1)/11
Suppose 3/4*j**2 + 3 + 4*j - 1/4*j**3 = 0. Calculate j.
-2, -1, 6
Let u(f) be the first derivative of 1/2*f**3 + 0*f**4 - 4*f + 9 + 0*f**2 - 3/20*f**5. Let g(o) be the first derivative of u(o). Suppose g(j) = 0. Calculate j.
-1, 0, 1
Let l = -59725683/254 + 235141. Let u = l + -2/127. Solve -u*o**2 + 0 + 1/2*o = 0 for o.
0, 1
Let r(t) = -5*t**2 + 30*t - 45. Let m(a) be the third derivative of a**5/12 - 5*a**4/4 + 15*a**3/2 - 7*a**2. Let n(x) = 5*m(x) + 6*r(x). Factor n(d).
-5*(d - 3)**2
Suppose -o + 25 = 4*o. Let n be o + (-1)/(1/1). Solve -5*t**5 - 12*t**n + 3*t**4 + 7*t**4 + 3*t**5 = 0 for t.
-1, 0
Let y be 53/((-265)/(-30)) - 9/(-12). Suppose y*c**2 - 3/2*c + 0 - 3*c**3 = 0. What is c?
0, 1/4, 2
Suppose p = 8*q - 3*q + 724, 5*q - 2871 = -4*p. Let y = -5024/7 + p. Determine r, given that 3/7*r**2 - 12/7*r + y = 0.
1, 3
Let z(h) = 0*h**2 + 0*h**2 + 3 + h**3 - 8*h**2 - 1. Let n be z(8). Let 25*f - f - 8*f + 44*f**4 + 132*f**3 + 80*f**n + 44*f**4 + 20*f**5 = 0. What is f?
-2, -1, -2/5, 0
Let l = 405 - 8917/22. Let i = l - -79/110. Determine q so that 0 - 2/5*q + 2/5*q**3 + 2/5*q**4 - i*q**2 = 0.
-1, 0, 1
Suppose 6 = 7*f - 15. Factor 4*c**3 - 8*c**2 + 5*c**4 + 4*c**5 - 4*c - 4*c**f + 3*c**4.
4*c*(c - 1)*(c + 1)**3
Let b be (-18)/6165*10/(-1 - -3). Let o = b + 151/959. Factor o*i**2 + 0 + 0*i.
i**2/7
Let f = 55 + -51. Factor -46*i**2 + 2*i + 6*i + 58*i**2 + f*i**3.
4*i*(i + 1)*(i + 2)
Let q(m) be the first derivative of 13 + 5/4*m**2 - 25/4*m - 1/12*m**3. Let q(y) = 0. What is y?
5
Suppose 18 - 52 + 14 + m**2 + 3*m**2 - 2*m + 2*m**3 + 16 = 0. Calculate m.
-2, -1, 1
What is d in -20*d**3 - 65*d**2 - 5/4*d**4 + 0 - 60*d = 0?
-12, -2, 0
Suppose 7*g - 8*g = -3. Factor 6*l**3 + l + 2*l**2 - g*l**3 - 4*l**3 - 2.
-(l - 2)*(l - 1)*(l + 1)
Let o be (20 - (-1792)/(-84))*((-27)/(-26))/(-3). Suppose o - 4/13*a**2 + 2/13*a = 0. Calculate a.
-1, 3/2
Let c = -6 - -9. Suppose 4*f = g + 7, -4*f + 2*g - 8 + 14 = 0. Suppose 1/4*k**f - 1/4*k**c + 0 + 1/4*k - 1/4*k**4 = 0. Calculate k.
-1, 0, 1
Suppose -32*u = -10*u - 66. Let n(z) be the third derivative of -7*z**2 - 1/8*z**u - 1/48*z**5 - 1/12*z**4 + 0*z + 0. Let n(w) = 0. Calculate w.
-1, -3/5
Suppose -10*c + 2 = -6*c - 3*y, -2*c - 3*y + 10 = 0. Let u(a) be the second derivative of 0*a**c + 0 - 1/3*a**4 + 14*a + 2/3*a**3. Factor u(j).
-4*j*(j - 1)
Suppose -4*g + 24 = 2*y, 4*g + 6*y - y - 30 = 0. Let q(s) be the first derivative of 25/2*s**2 + 10*s - 10/3*s**3 - 25/4*s**4 - g. Factor q(w).
-5*(w - 1)*(w + 1)*(5*w + 2)
Solve n**2 - 55 - 4 - 32 - 90*n = 0.
-1, 91
Let i(a) = -13*a**2 + 97*a. Let u(l) = 2*l**2 + 2*l. Let r(m) = -5*i(m) - 30*u(m). Let r(h) = 0. Calculate h.
0, 109
Let r(d) be the third derivative of 1/48*d**4 + 0 + 0*d**3 - 1/120*d**5 + 0*d + 7*d**2. Factor r(f).
-f*(f - 1)/2
Let p(g) = -g + 1. Su