+ 140/13*f**4 - 2/13*f**5 + 0 + 144/13*f**2 + 0*f = 0.
-1, 0, 72
Let 2/19*n**3 - 60/19*n**2 - 360/19 + 22*n = 0. Calculate n.
1, 9, 20
Let g(r) = 15*r**2 + 6. Let l(w) = 8 + 6 - 39 - 32*w**2 + 12. Let b(c) = 13*g(c) + 6*l(c). Solve b(j) = 0 for j.
0
Let t(p) = 22*p - 325. Let u be t(15). Let c(q) be the first derivative of -3 + 0*q + 3*q**2 + q**3 - 3/5*q**u - 3/2*q**4. Factor c(z).
-3*z*(z - 1)*(z + 1)*(z + 2)
Let j be (2 - (8 + -13)) + (-1034)/154. Factor 64/7*m - 256/7 + 4*m**2 + j*m**3.
2*(m - 2)*(m + 8)**2/7
Let q(t) = -3*t**4 - t**3 - 2. Let f(d) = 21*d**4 + 282*d**3 - 1923*d**2 + 2286*d + 702. Let a(g) = f(g) + 3*q(g). Solve a(j) = 0.
-29, -1/4, 2, 4
Let j(k) = k**2 + 72*k + 11. Let z be j(-16). Let n = 887 + z. Factor -5/4*o + 3/4 + 1/4*o**n + 1/4*o**3.
(o - 1)**2*(o + 3)/4
Let p = 222817 + -222813. Let -7/2*i**5 + 15*i**p + 42*i - 52*i**2 + 13/2*i**3 - 8 = 0. What is i?
-2, 2/7, 1, 4
Let c(z) = 14*z**2 - 138*z - 17. Let o be c(10). Let y(w) be the first derivative of 0*w - 1 + w**2 - 2/9*w**o. What is m in y(m) = 0?
0, 3
Let i be -4 + (355/40 + -4)/((-102)/(-136)). Factor 0 + 1/2*t**4 + i*t - 1/2*t**2 - 5/2*t**3.
t*(t - 5)*(t - 1)*(t + 1)/2
Let p = 113 + -108. Suppose -2*r - 5*b - 38 = -22, p*r + 4*b = -6. Solve -2/5 + 14/15*g - 4/15*g**r = 0.
1/2, 3
Solve 393*u**2 + 2 - 453*u**3 - 2 + 274*u - 196*u - 9*u**4 - 9*u**4 = 0.
-26, -1/6, 0, 1
Let u(d) = -14*d**3 - d**2 - 2*d + 1. Let h(m) = 110*m**3 + 10*m**2 + 128*m - 8. Let w(x) = h(x) + 8*u(x). Let w(z) = 0. What is z?
-7, 0, 8
Let r(a) = 1516*a + 60642. Let f be r(-40). Let -18/11*v**f - 24/11 - 112/11*v = 0. What is v?
-6, -2/9
Let a(b) be the first derivative of 45*b**4/4 - 1970*b**3/3 + 1670*b**2 + 840*b - 4560. Factor a(h).
5*(h - 42)*(h - 2)*(9*h + 2)
Let u = -6311 + 6315. Let r(j) be the first derivative of -1/10*j**u - 8 - 2/15*j**3 + 1/5*j**2 + 2/5*j. Factor r(n).
-2*(n - 1)*(n + 1)**2/5
Let o be 12/(-9)*(4/(-4) + -14 + 621/46). Suppose -4/3 + 2/3*h**o - 2/3*h = 0. What is h?
-1, 2
Let p be 16/10*(-45)/(-18). Factor 54 - 16*i + 46 - i**2 + 2*i**2 - p*i.
(i - 10)**2
Let b(t) = -3*t**3 - 39*t**2 + 1675*t + 35. Let m be b(-31). Suppose 0 + 0*z**2 - 36/7*z**m + 0*z + 3/7*z**5 + 33/7*z**3 = 0. Calculate z.
0, 1, 11
Suppose -s = 5 - 4, 13 = 3*m - s. Let o(n) = -n**3 + 4*n**2 - n + 6. Let a be o(m). Factor 11*k - 28*k**3 + k**2 + k**2 - 70*k**a - 79*k - 4*k**4 - 24.
-4*(k + 1)**2*(k + 2)*(k + 3)
Suppose -663 = 428*g - 104*g - 1127 - 832. Determine f so that -f**2 + 1/4*f**3 - f + g = 0.
-2, 2, 4
Let s(p) be the second derivative of 93*p + 1/12*p**4 + 288*p**2 + 8*p**3 + 0. Factor s(n).
(n + 24)**2
Let z = -11518/7 + 69115/42. Factor -z*l**2 - 5/3 + 7/6*l.
-(l - 5)*(l - 2)/6
Let 16/13*f**4 + 2/13*f**5 + 18/13*f + 0 - 16/13*f**2 - 20/13*f**3 = 0. Calculate f.
-9, -1, 0, 1
Let b = -34724/45 + 6988/9. Let m(l) = l**3 + 7*l**2 - 9*l - 5. Let i be m(-8). Factor 18/5*y + 2*y**i - b*y**2 - 4/5.
2*(y - 1)**2*(5*y - 2)/5
Let v(u) = -23*u - 2. Let f(o) = o**2 + 348*o + 566. Let a(d) = -4*f(d) - 28*v(d). Factor a(y).
-4*(y + 3)*(y + 184)
Let p be 535 - 530 - (49/12 + (-1)/(-4)). Let a(x) be the second derivative of 0 - 3/2*x**2 - 1/12*x**4 - 44*x - p*x**3. Suppose a(f) = 0. What is f?
-3, -1
Let j be 4214/42 + (-12)/(-9)*-1. Suppose -95*v = -j*v. Solve 1/3*s**2 + 2/3*s + v = 0 for s.
-2, 0
Factor -18432 - 128*q - 2/9*q**2.
-2*(q + 288)**2/9
Let k(w) be the second derivative of 9/8*w**2 + 113*w + 1 - 11/48*w**3 + 1/96*w**4. Factor k(p).
(p - 9)*(p - 2)/8
Let k(l) be the third derivative of 56*l - 1/8*l**4 + 0 + 1/40*l**6 - 2*l**2 + l**3 - 1/10*l**5. Factor k(j).
3*(j - 2)*(j - 1)*(j + 1)
Factor 1/5*t**5 + 18*t**3 + 25*t + 0 + 40*t**2 + 16/5*t**4.
t*(t + 1)*(t + 5)**3/5
Let j be 56/10 + (-4)/(-10). Suppose -j*s - 8 = -3*q - 10*s, -5 = 5*s. Factor -20/9*x**q + 0 - 4/9*x**2 + 8/9*x - 32/9*x**3.
-4*x*(x + 1)**2*(5*x - 2)/9
Let t(l) be the second derivative of 0 - 5*l - 1/900*l**6 + 23/6*l**3 - 1/75*l**5 + 0*l**2 + 0*l**4. Let i(n) be the second derivative of t(n). Factor i(b).
-2*b*(b + 4)/5
Suppose 0 = -4*y + y + 27. Suppose -4*b + y = -b. Find o, given that -2*o**3 - o**3 + 5*o**5 + 2*o**b - 4*o**3 = 0.
-1, 0, 1
Let o(l) be the first derivative of -l**4/2 + 76*l**3 - 113*l**2 + 2847. Solve o(j) = 0 for j.
0, 1, 113
Let q(z) be the third derivative of 5*z**6/48 - 17*z**5/20 - 39*z**4/16 + 5*z**3/6 - 812*z**2 - 2. Let q(s) = 0. What is s?
-1, 2/25, 5
Let t be (-1764)/(-2940) + (-17)/(-5). Suppose 0 - 24/7*m**3 + 4/7*m + 2*m**t + 6/7*m**2 = 0. Calculate m.
-2/7, 0, 1
Let t = 1719/145 - 4411/580. Factor 1/4*c**2 + t*c + 21/2.
(c + 3)*(c + 14)/4
Let w(o) be the first derivative of o**6/240 - o**5/40 + o**4/16 - 23*o**3/3 - 66. Let s(r) be the third derivative of w(r). Factor s(y).
3*(y - 1)**2/2
Let d(i) = -i**2 - i + 11. Let b(c) = -5*c**3 + 32*c**2 + 347*c - 792. Let m(a) = -b(a) - 2*d(a). Factor m(h).
5*(h - 11)*(h - 2)*(h + 7)
Let q(o) be the second derivative of o**7/42 - 7*o**6/24 - 21*o**2 - o + 26. Let s(p) be the first derivative of q(p). Suppose s(y) = 0. What is y?
0, 7
Let j(a) be the first derivative of -2/3*a**3 - 1/8*a**4 - 18 - 7*a - 5/2*a**2 + 1/60*a**5. Let q(b) be the second derivative of j(b). Factor q(m).
(m - 4)*(m + 1)
Let r(k) be the third derivative of 34*k**2 + 0*k - 1/90*k**5 + 7/180*k**6 + 0 + 1/1008*k**8 + 1/2*k**3 - 1/90*k**7 - 5/24*k**4. Suppose r(c) = 0. Calculate c.
-1, 1, 3
Suppose 6823 = -3*q + 6*q - 5*b, -2*q + 4540 = b. Factor -1136 - 14*x - 1135 + q + 2*x**2.
2*x*(x - 7)
Let s(z) be the second derivative of z**7/42 - 3*z**6/10 + 3*z**5/4 + 25*z**4/12 + 515*z - 4. Solve s(v) = 0.
-1, 0, 5
Suppose -1738 = 22*h - 11*h. Let z be (-2 - h/30) + 57/(-95). Determine l, given that 2*l**2 - 8/3*l - z = 0.
-2/3, 2
Let w(s) = 2*s**3 - 51*s**2 + 24*s + 42. Let r be w(25). Factor 15*z**2 + 85*z + 55*z**2 - r*z + 2*z**3.
2*z*(z + 1)*(z + 34)
Let f(s) be the first derivative of s**6/120 - s**5/20 - s**4 - 27*s**3 + 9. Let g(b) be the third derivative of f(b). Solve g(k) = 0 for k.
-2, 4
Determine q, given that -535*q**2 - 4070*q**4 + 540 - 31*q**3 + 136*q**3 + 4065*q**4 - 105*q = 0.
-1, 1, 9, 12
Suppose p - 2*y = 6, -2*p + 51 = 2*p + y. Suppose -18*m = -p*m - 12. What is q in 2/9 - 2*q**5 + 20/3*q**m - 92/9*q**3 - 2*q + 22/3*q**4 = 0?
1/3, 1
Let t(b) = 8*b**2 + 591*b + 1633. Let f be t(-71). Let j**4 + 0 + 1/2*j**5 - 1/2*j**3 - j**2 + f*j = 0. What is j?
-2, -1, 0, 1
Suppose 97768*q - 98611*q + 2529 = 0. Let -17*z - 26/3 - 8*z**2 + 1/3*z**q = 0. What is z?
-1, 26
Factor 1767*t + 2*t**2 + 115 + 21 + 64 - 1709*t.
2*(t + 4)*(t + 25)
Let a = 6 + -15. Let b(n) = 28 + 25 + n + 7*n**2 + 22 - 79. Let s(i) = 15*i**2 + 3*i - 9. Let x(f) = a*b(f) + 4*s(f). Let x(v) = 0. Calculate v.
0, 1
Let c(t) be the first derivative of t**5/150 - t**4/12 - 8*t**3/5 - t**2 - 52*t - 177. Let r(v) be the second derivative of c(v). What is u in r(u) = 0?
-3, 8
Let l(i) be the third derivative of 0 + 25*i + 1/420*i**6 - 13/210*i**5 - 3*i**2 + 5/12*i**4 + 7/3*i**3. Factor l(w).
2*(w - 7)**2*(w + 1)/7
Let y(o) be the third derivative of o**8/672 + o**7/6 + 11*o**6/40 - 53*o**5/30 - 347*o**4/48 - 23*o**3/2 - 295*o**2. Factor y(x).
(x - 2)*(x + 1)**3*(x + 69)/2
Let r = 7863438/5 + -1572621. Let 66/5 + r*a + 3*a**2 = 0. What is a?
-22, -1/5
Let y be (-912)/884 - 10980/(-7930). Factor 0*o - 2/17*o**4 - y*o**2 - 8/17*o**3 + 0.
-2*o**2*(o + 1)*(o + 3)/17
Suppose -5/2*n**2 - 10 - 1/6*n**3 - 28/3*n = 0. Calculate n.
-10, -3, -2
Let y = -190927 + 190931. Factor 8/5 - 3/5*u**3 + 2/5*u**2 - 1/5*u**y + 12/5*u.
-(u - 2)*(u + 1)*(u + 2)**2/5
Let o(p) = 7*p**2 + 1793*p + 800932. Let r(c) = -2*c**2 - c + 31. Let m(b) = 2*o(b) + 6*r(b). Suppose m(s) = 0. What is s?
-895
Let n(k) = 23*k**4 - 306*k**3 + 3860*k**2 + 19200*k + 20474. Let j(r) = -3*r**4 + r**3 + 1. Let p(i) = -6*j(i) - n(i). Factor p(y).
-5*(y - 32)**2*(y + 2)**2
Solve -2577*h - 1/2*h**2 - 6640929/2 = 0.
-2577
Let k(z) = 3*z**3 + 9*z**2 + 10*z - 28. Let r(t) = -79*t**3 - 236*t**2 - 261*t + 744. Let d(f) = -159*k(f) - 6*r(f). Factor d(m).
-3*(m + 1)*(m + 2)**2
Let c = -6025 - -6027. Let h(d) be the first derivative of 12*d**c - 4/3*d**3 - 3 + 0*d. Find q, given that h(q) = 0.
0, 6
Let t = -63908 - -447374/7. Determine x so that 8/7*x**5 - 4/7 - 26/7*x**3 + 6/7*x**