*6/45 + f**5/30 - f**4/9 - f - 10. Let p(x) = 0. What is x?
-1, 0, 1, 2
Let c = -1244 + 1248. Let b(m) be the first derivative of c + 2/5*m**2 + 2/15*m**3 + 2/5*m. Factor b(p).
2*(p + 1)**2/5
Solve 2/9*z**2 + 26/9 + 28/9*z = 0 for z.
-13, -1
Let c = 551 + -545. Let b(h) be the second derivative of c*h**2 + 17/4*h**4 + 3*h**5 - 3*h + 0 - 10*h**3 - 21/10*h**6. Find p such that b(p) = 0.
-1, 2/7, 2/3, 1
Let k(x) be the third derivative of 0*x**3 + 3*x**2 + 1/270*x**5 + 0 - 1/540*x**6 + 0*x + 0*x**4 - 2/945*x**7. Factor k(t).
-2*t**2*(t + 1)*(2*t - 1)/9
Factor 21 - 11 - 3*j**2 + 38 - 18*j.
-3*(j - 2)*(j + 8)
Let p(g) = -7*g**2 + 8*g - 7. Let s(r) be the second derivative of -r**4/6 + r**3/3 - r**2 + 26*r. Let l(q) = 6*p(q) - 22*s(q). Determine f so that l(f) = 0.
-1
Let o(a) be the third derivative of -a**5/140 - 43*a**4/28 - 1849*a**3/14 + 3*a**2 - 48. Factor o(j).
-3*(j + 43)**2/7
Let s = 201 - 195. Suppose s*d = 4*d - 3*j + 10, 0 = 5*d - 5*j. Solve -1/3*b**d - 2/3 + b = 0 for b.
1, 2
Suppose -12 = 3*r - 9*r. Solve 334*h + 30*h**4 - 6*h**5 + h**5 + 10 - 70*h**3 - 379*h + 80*h**r = 0 for h.
1, 2
Let r(x) be the third derivative of -x**7/4620 - x**6/660 - x**5/220 - x**4/132 + 5*x**3/6 - 16*x**2. Let m(f) be the first derivative of r(f). Factor m(j).
-2*(j + 1)**3/11
Let o(x) = x**2 + 2*x - 2. Let t be o(-4). Let a = -5626 + 5626. Determine y, given that -t*y**3 - 3*y**2 - 1/2*y - 5*y**4 - 3/2*y**5 + a = 0.
-1, -1/3, 0
Let p(w) = -7*w**3 - 105*w**2 + w + 114. Let v(k) = 6*k**3 + 106*k**2 - 2*k - 112. Let t(j) = 2*p(j) + 3*v(j). Factor t(g).
4*(g - 1)*(g + 1)*(g + 27)
Let n be (-6)/8 + 44/16. Suppose 5*k + 35 = n*q + 7, 0 = 3*k + 12. Factor 0 + 1/4*y**q - 3/4*y**3 + 0*y**2 + y.
y*(y - 2)**2*(y + 1)/4
Let 2/7*s**3 - 8/7*s**2 + 0 + 8/7*s = 0. What is s?
0, 2
Suppose 0 = -u - 7 + 10. Find m such that 3*m**3 - 39*m + 8*m**2 + 16 - m**u + 11*m + 2*m**3 = 0.
-4, 1
Let s(f) be the second derivative of 5*f**4/24 - 7*f**3/12 - 70*f. Factor s(x).
x*(5*x - 7)/2
Determine k so that 4/9*k**2 + 15376/9 - 496/9*k = 0.
62
Let v(z) be the first derivative of -1 - 1/12*z**3 - 3/8*z**2 + 1/20*z**5 + 3/16*z**4 + 0*z. Factor v(s).
s*(s - 1)*(s + 1)*(s + 3)/4
Let s(w) = 14*w**4 - w**3 + 2*w**2 + 5. Let h(l) = -11*l**4 - l**2 - 4. Let z(g) = -5*h(g) - 4*s(g). Factor z(d).
-d**2*(d - 3)*(d - 1)
Let g = 16 - 12. Suppose g*m + 5 - 53*m**3 + m + 48*m**3 - 5*m**2 = 0. Calculate m.
-1, 1
Let i(v) be the first derivative of v**3/12 + 13*v**2/8 - 15*v/2 - 140. Suppose i(z) = 0. Calculate z.
-15, 2
Let l(s) = -5*s**2 - 409*s - 94. Let q(z) = -6*z**2 - 404*z - 92. Let t(j) = 3*l(j) - 4*q(j). Factor t(n).
(n + 43)*(9*n + 2)
Let b(k) be the second derivative of -5*k**4/12 - 20*k**3/3 - 30*k**2 + 83*k. Factor b(v).
-5*(v + 2)*(v + 6)
Let d(m) = -10*m**2 - 98*m + 22. Let k be d(-10). Factor -5/2*h**3 + 5 + 0*h**k + 15/2*h.
-5*(h - 2)*(h + 1)**2/2
Let r be -2 - 102/(-14) - (-4)/(-14). Let p(f) be the second derivative of 0 + 0*f**3 + 1/10*f**r - 4*f + 0*f**2 + 1/6*f**4. Factor p(y).
2*y**2*(y + 1)
Let i(x) = 13*x**5 - 15*x**4 + 34*x**3 - 39*x**2 + 25*x - 9. Let t(a) = 3*a**5 - 4*a**4 + 9*a**3 - 10*a**2 + 6*a - 2. Let y(v) = 4*i(v) - 18*t(v). Factor y(c).
-2*c*(c - 2)**2*(c - 1)**2
Let d(i) = -2*i**2 - 1. Let p(t) = -40*t**4 + 34*t**3 + 24*t**2 - 4*t + 7. Let c(g) = -14*d(g) - 2*p(g). Suppose c(a) = 0. Calculate a.
-2/5, 0, 1/4, 1
Suppose 66*i - 38*i - 84 = 0. Determine s, given that -80*s - 32/3 - 168*s**2 - 196/3*s**i = 0.
-2, -2/7
Suppose -9*l - 216 = 3*l. Let f be (1/(-7))/(l/(-4) - 5). Factor 0*o + 2/7 - f*o**2.
-2*(o - 1)*(o + 1)/7
Let w(u) = 9*u + 10. Let z be w(2). Suppose r + 10 = 4*f, -3*r - 10 = 4*f - z. Let 2/7*o - 5/7*o**2 - o**f + 0 = 0. Calculate o.
-1, 0, 2/7
Let u = -13 + 15. Factor 36*m + 2*m**u + 82 + 0*m**2 + 80.
2*(m + 9)**2
Let i(c) = 6*c - c**2 - 17 + 26 + 0*c**2. Let z be i(7). Factor 8*k - 2*k**3 - 5*k**3 - 4*k**z - 2*k**3 + 5*k**3.
-4*k*(k - 1)*(k + 2)
Let d(y) be the second derivative of y**8/1680 - y**7/630 - y**6/90 - 5*y**4/3 - 26*y. Let l(h) be the third derivative of d(h). What is c in l(c) = 0?
-1, 0, 2
Let r(u) be the second derivative of u**6/18 + u**5/4 + 5*u**4/36 - 5*u**3/6 - 5*u**2/3 + 27*u + 2. Factor r(m).
5*(m - 1)*(m + 1)**2*(m + 2)/3
Suppose 4*j - 9*j + 60 = 0. Let v be (-4)/(-6) - 4*(-6)/j. Solve -v*k + 7/2*k**2 + 2/3 - 3/2*k**3 = 0.
2/3, 1
Let b = -3410/3 + 3412/3. Factor -4/3*d - b*d**2 + 0.
-2*d*(d + 2)/3
Factor -41*n + 1681/2 + 1/2*n**2.
(n - 41)**2/2
Let k be (-279)/2232*-12*1. Suppose 0 - k*t + 1/4*t**2 = 0. Calculate t.
0, 6
Let c(r) be the third derivative of -r**6/120 + r**5/20 + r**2 - 4. Suppose c(x) = 0. Calculate x.
0, 3
Suppose 3*m + 670 = -5*w + 6*w, -3*w = 15. Let j = 225 + m. Factor 3/4*t**2 + j - 3/4*t.
3*t*(t - 1)/4
Let r(q) be the first derivative of -q**4/14 + 2*q**3/7 - 18*q - 5. Let a(s) be the first derivative of r(s). Factor a(w).
-6*w*(w - 2)/7
Let d(y) be the first derivative of y**7/2520 - y**6/216 + 7*y**5/360 - y**4/24 - 26*y**3/3 + 13. Let o(n) be the third derivative of d(n). Factor o(j).
(j - 3)*(j - 1)**2/3
Suppose 1 = 5*b - 4*b. Let c(u) = 3*u - 1. Let y be c(b). Let -18*t + 27 - 8*t**2 - 2*t**y + 13*t**2 = 0. Calculate t.
3
Let w(y) = -6*y**3 + 27*y**2 - 6*y - 3. Let q(x) = -7*x**3 + 27*x**2 - 8*x - 4. Let m(k) = -3*q(k) + 4*w(k). Determine r, given that m(r) = 0.
0, 9
Let x(a) = 2*a**2 + 12*a - 30. Let p be x(-8). Determine h, given that 9*h**p + 0*h - 4*h**5 - 8*h**4 - h**2 + 4*h = 0.
-1, 0, 1
Let b be (-12 - -12)/((0 - -3)/3). Factor b - 4/11*v + 2/11*v**2.
2*v*(v - 2)/11
Let n(y) be the second derivative of -y**6/360 - y**5/180 - y**2 + 3*y. Let b(t) be the first derivative of n(t). Let b(u) = 0. Calculate u.
-1, 0
Let o be 1/6*3 - 1/2. Let m(v) be the first derivative of 0*v**2 - 8*v**4 - 7 + 4*v**5 + 16/3*v**3 + o*v - 2/3*v**6. What is q in m(q) = 0?
0, 1, 2
Let m be 4/((-48)/60) + 6 + 1. Let z(d) be the first derivative of 5/11*d**m - 4/11*d + 1/22*d**4 - 8/33*d**3 + 2. Factor z(w).
2*(w - 2)*(w - 1)**2/11
Let x be 91/35 - (-2)/5. Suppose 11*j**2 - 25*j**x + 5*j**4 + 24*j**2 + 6*j**2 - 6*j**2 - 15*j = 0. What is j?
0, 1, 3
Factor 11/4*z**3 - 9/4*z**2 - 6*z - 1.
(z - 2)*(z + 1)*(11*z + 2)/4
Suppose 2*j + 64 - 74 = 0, -3*j = 2*n - 21. What is c in -4/5*c**n + 18/5 + 2*c**4 - 28/5*c**2 - 2/5*c**5 + 6/5*c = 0?
-1, 1, 3
Let n(t) be the first derivative of t**6/36 + t**5/6 - 13*t**4/24 + 7*t**3/18 + 299. Determine i so that n(i) = 0.
-7, 0, 1
Let a(j) be the third derivative of -1/2*j**3 + 0 - 3/40*j**6 + 0*j + 11*j**2 - 7/20*j**5 - 5/8*j**4. Factor a(m).
-3*(m + 1)**2*(3*m + 1)
Let n(b) be the first derivative of -b**6/2 - 21*b**5/5 - 3*b**4/2 + 28*b**3 + 36*b**2 + 702. Determine w, given that n(w) = 0.
-6, -2, -1, 0, 2
Let -72*j + j**3 - 15 + 9*j**2 + 6*j**3 - 4*j**3 + 99 + 0*j**3 = 0. Calculate j.
-7, 2
Let m(b) = -b**3 - 10*b**2 - b - 4. Suppose -2*h - 22 = 2*z, 5*z + 2*h = 4*h - 48. Let f be m(z). Factor 5*s + 21*s**2 + 0*s - 2*s - f + 12*s.
3*(s + 1)*(7*s - 2)
Let i(w) = 6*w**2 + 3*w - 2. Let g(l) = -l**2 - 7*l + 35. Let r be g(-10). Let x(m) = m**2 - m + 1. Let v(j) = r*i(j) - 35*x(j). Factor v(z).
-5*(z - 9)*(z - 1)
Let f(w) = 2*w**3 + w**2 - w**3 - 11*w**4 + 18*w**4 - 8*w**4. Let g(y) = -14*y**4 + 18*y**3 + 10*y**2 - 16*y + 4. Let b(s) = 2*f(s) - g(s). Factor b(d).
4*(d - 1)**2*(d + 1)*(3*d - 1)
Suppose 1 = 4*v - 7. Let o(y) = -y**3 - 6*y**2 - 5*y. Let i be o(-5). Factor 2 + i - 2*b**2 + 3*b**2 - 3*b**v.
-2*(b - 1)*(b + 1)
Suppose -4*g + 53 - 9 = 0. Suppose -3*q + 13 = -m, g = -3*m + m + 3*q. Factor f**3 + 2*f**2 + 1 - 2 - 5*f**3 + f**4 - m + 4*f.
(f - 3)*(f - 1)**2*(f + 1)
Suppose -2*f - 3*r + 7 = -8, f + 3*r = 9. Let d be 91/28 + f/8. Suppose -2/11*z**3 + 0 + 0*z - 6/11*z**d + 4/11*z**2 = 0. Calculate z.
-1, 0, 2/3
Let t(d) = 13*d**2 + 16*d - 5. Let j(p) = -72*p**2 - 88*p + 28. Let m(y) = 5*j(y) + 28*t(y). Factor m(i).
4*i*(i + 2)
Let l(d) be the first derivative of -d**6/2 + 9*d**5/5 + 3*d**4/4 - 3*d**3 + 14. Let l(u) = 0. Calculate u.
-1, 0, 1, 3
Let m be 8/(-6) + 429/99. Factor 0*s**m + 10/3*s**5 + 0*s**2 + 4/3*s**4 + 0 + 0*s.
2*s**4*(5*s + 2)/3
Let h be 1 - (-1)/(-2)*6. Let v be (3/h)/(19/(-4) - -1). Factor 2/5*w**3 - v*w**4 - 2/5*w + 0 + 2/5*w**2.
-2*w*(w - 1)**2*(w + 1)/5
Suppose -4*i