 + 31, -3*o = q. Solve -3/2*l**3 + q*l**2 - 300 - 90*l = 0 for l.
-2, 10
Let s(i) be the third derivative of -i**6/2 + 133*i**5/15 - 42*i**4 - 24*i**3 + 287*i**2 + 2*i. Determine v so that s(v) = 0.
-2/15, 3, 6
Factor -3/7*m**3 + 552/7*m + 372/7 + 177/7*m**2.
-3*(m - 62)*(m + 1)*(m + 2)/7
Suppose 2180/3*t - 16/3*t**3 + 0 - 1724/3*t**2 = 0. Calculate t.
-109, 0, 5/4
Let -8/7*s - 6/7*s**4 + 50/7*s**3 + 48/7 - 12*s**2 = 0. What is s?
-2/3, 1, 2, 6
Let o = 232 + -252. Let t(r) = r**2 + 34*r + 23. Let j(h) = -h + 1. Let d(v) = o*j(v) - 4*t(v). Determine q, given that d(q) = 0.
-28, -1
Factor -1/4*n**2 - 200704 - 448*n.
-(n + 896)**2/4
Let j be 5 + -8 + (5 - -1). Factor -3634 + 3592 + 10*i**2 + 27*i + 7*i - 2*i**j.
-2*(i - 7)*(i - 1)*(i + 3)
Let c(z) = 31*z**2 + 106*z + 2809. Suppose 9*l + 20 = -25. Let v(d) = -26*d**2 - 106*d - 2809. Let q(p) = l*c(p) - 6*v(p). Suppose q(h) = 0. What is h?
-53
Let a(t) = t**3 + 70*t**2 - 205*t + 6738. Let d be a(-74). What is w in 2/5*w**d - 4/5*w**3 + 0 + 1/5*w**5 - 2/5*w**2 + 3/5*w = 0?
-3, -1, 0, 1
Suppose -32*q - 3*r = -35*q, 0 = q - 5*r. Let v(b) be the third derivative of 5/6*b**3 + 5/6*b**4 + q + 0*b - 5/12*b**5 + 27*b**2. Factor v(n).
-5*(n - 1)*(5*n + 1)
Suppose -52/3*i**2 + 149/3*i + 1/3*i**3 - 98/3 = 0. Calculate i.
1, 2, 49
Let j(g) = -38*g**2 + g + 1. Let s(h) = -147*h**2 + 204*h + 1599. Let t(l) = 4*j(l) - s(l). Find i such that t(i) = 0.
-29, -11
Let v(c) = 18*c**3 - 297*c**2 - 152*c + 143. Let h(x) = -52*x**3 + 890*x**2 + 456*x - 430. Let k(m) = 5*h(m) + 14*v(m). Factor k(f).
-4*(f - 37)*(f + 1)*(2*f - 1)
Let b be 612/(-51)*(-2 - (-14)/8). Factor -21*y**2 + 27*y**3 + 3*y**2 - 3*y**4 - 48*y**b.
-3*y**2*(y + 1)*(y + 6)
Let m(v) be the third derivative of v**5/20 + 11*v**4/4 - 84*v**3 - 132*v**2 + v + 4. Factor m(y).
3*(y - 6)*(y + 28)
Let g(w) be the first derivative of -w**4/18 + 28*w**3/9 + 133*w**2/9 + 20*w - 1960. Factor g(t).
-2*(t - 45)*(t + 1)*(t + 2)/9
Let l(j) be the second derivative of -j**5/100 + 11*j**4/40 + 6*j**3/5 - 135*j**2/2 + 32*j + 3. Let a(r) be the first derivative of l(r). Factor a(f).
-3*(f - 12)*(f + 1)/5
Let c(r) = 142*r + 3834. Let g be c(-27). Let y(x) be the first derivative of -8/15*x**3 + 2/5*x**2 + g*x - 9. Suppose y(a) = 0. What is a?
0, 1/2
Let m = -194352 + 194354. Factor -28*o + 588 + 1/3*o**m.
(o - 42)**2/3
Let v(i) be the first derivative of 1/15*i**6 + 13/10*i**4 + 8/5*i**3 - 8 + 4/5*i**2 + 12/25*i**5 + 0*i. Factor v(r).
2*r*(r + 1)**2*(r + 2)**2/5
Suppose 132*h + 15 = 28 - 13. Find a, given that -2/11*a**4 + 4/11*a**2 + 0*a**3 - 2/11 + h*a = 0.
-1, 1
Suppose 0 - 60/11*h - 64/11*h**3 - 122/11*h**2 - 2/11*h**4 = 0. What is h?
-30, -1, 0
Let u(h) = -h**3 + 20*h**2 + h - 1. Let r(n) = 6*n**3 - 500*n**2 + 1374*n + 1861. Let a(m) = r(m) + u(m). Find f such that a(f) = 0.
-1, 4, 93
Let k(w) = 6*w**2 + 9. Let m(f) = -42*f**2 - 25. Let q(d) = 8*d**2 + 5. Let c(h) = -2*m(h) - 11*q(h). Let b(g) = -5*c(g) - 3*k(g). Factor b(x).
2*(x - 1)*(x + 1)
Let s(j) = -3*j**2 + 2086*j - 216322. Let c(o) = -2*o**2 - 6*o + 2. Let x(g) = c(g) + s(g). Factor x(w).
-5*(w - 208)**2
Let i(s) = s**5 - 10*s**4 - 101*s**3 - 106*s**2 + 88*s + 120. Let w(j) = -j**5 + j**3 + j**2 - 3*j. Let g(f) = i(f) - 4*w(f). Suppose g(r) = 0. Calculate r.
-2, -1, 1, 6
Let v(z) be the first derivative of -z**5 - 105*z**4/4 + 5*z**3/3 + 105*z**2/2 + 6774. Factor v(p).
-5*p*(p - 1)*(p + 1)*(p + 21)
Let g(l) be the second derivative of 5/4*l**4 - 1 + 10*l - 12*l**2 + 3/20*l**5 + l**3. Suppose g(x) = 0. What is x?
-4, -2, 1
Let l(v) be the third derivative of -v**8/84 + 22*v**7/105 + 13*v**6/30 - 11*v**5/15 - 2*v**4 + v**2 + 1206*v. Solve l(i) = 0 for i.
-1, 0, 1, 12
Let z(x) be the first derivative of 4*x**6/27 + 2*x**5/3 - 22*x**4/3 + 64*x**3/27 + 1113. Solve z(t) = 0 for t.
-8, 0, 1/4, 4
Let u(n) be the second derivative of -5*n**4/24 - 1065*n**3/2 - 2041605*n**2/4 - 1343*n. Find t, given that u(t) = 0.
-639
Let z(n) be the second derivative of -4/21*n**3 - 1/21*n**4 - 12*n + 1 + 16/7*n**2. Factor z(l).
-4*(l - 2)*(l + 4)/7
Let i(s) be the second derivative of -15*s + 0*s**2 - 7/2*s**3 - 9/8*s**4 - 3/40*s**5 - 2. Factor i(p).
-3*p*(p + 2)*(p + 7)/2
Let c be (-4)/(-10)*10 - 1. Determine t so that 3*t**5 + 3*t**4 - c*t**3 - 115*t**2 + 112*t**2 + 0*t**3 = 0.
-1, 0, 1
Let 25*f**2 + 953*f**3 - 1973*f**3 + 74*f**2 + 336*f + 978*f**3 + 192 + 3*f**4 = 0. Calculate f.
-1, 8
Factor -118/3*z + 116/3 + 2/3*z**2.
2*(z - 58)*(z - 1)/3
Let u = 26 + -24. Suppose -531 = -f + 3*y, 5*y = -2*f - 0*y + 1018. Factor -5*w**3 + f*w**u - 519*w**2 + 5*w.
-5*w*(w - 1)*(w + 1)
Let l(x) be the first derivative of -x**5/3 + 35*x**4/3 - 205*x**3/3 + 470*x**2/3 - 460*x/3 + 2186. Determine k so that l(k) = 0.
1, 2, 23
Factor 0 - 1/7*a**3 - 31/7*a**2 - 12*a.
-a*(a + 3)*(a + 28)/7
Suppose -8*d + 61 = -5*d - f, 5*d = 4*f + 97. Suppose -4*a + 18 = b - 6, -4*b - a + d = 0. Let 15/7*o**2 - o**3 + 0 + 1/7*o**b - 9/7*o = 0. What is o?
0, 1, 3
Let p(t) be the second derivative of t**6/120 + t**5/40 - 2*t**3/3 - 9*t**2 + t + 33. Let s(u) be the second derivative of p(u). Factor s(v).
3*v*(v + 1)
Let i = 37 + -30. Suppose -4*s - i = -15. Let o + o - 14*o**3 - 6*o**s + 18*o**3 = 0. Calculate o.
0, 1/2, 1
Let o = -2642 - -55486/21. Let n(g) be the first derivative of o*g**3 - 4/7*g + 0*g**2 - 12. Factor n(s).
4*(s - 1)*(s + 1)/7
Let c(y) = y**3 - y**2 - 5*y + 2. Let w be c(3). Solve -11*b**5 - 4*b**w - 20*b + 40*b**4 - 60*b**2 - 54*b**3 + 69*b**3 = 0 for b.
-1, -1/3, 0, 2
What is i in -10404/5 + 66/5*i**2 - 357/5*i + 3/5*i**3 = 0?
-17, 12
Let z be (7 - -15)/(1/(-2)). Let w be (z/66)/((-1)/3). Determine o so that -8*o**2 + 5*o**2 + 3*o - 9*o**w - o**4 + 15*o**3 - 5*o**4 = 0.
0, 1/2, 1
Let c(p) be the first derivative of -p**6/540 - 17*p**5/90 - 289*p**4/36 - 4913*p**3/27 + 13*p**2/2 - 3. Let r(d) be the second derivative of c(d). Factor r(f).
-2*(f + 17)**3/9
Let f = 45 - 47. Let y(n) = -2*n**3 - n**2 + 2*n + 2. Let d be y(f). What is a in 0*a**2 + 4*a**3 + a**3 - 5*a - d + 10*a**2 + 0*a**2 = 0?
-2, -1, 1
Factor 276*b + 66*b + 60*b**2 + 3*b**3 + 226 - 33*b + 242.
3*(b + 3)*(b + 4)*(b + 13)
Factor -247*v - 5*v**2 - 148*v - 1645 + 2223 + 652.
-5*(v - 3)*(v + 82)
Let j = 2/9 - -10/9. Let q = 31254 + -31251. Factor -2/3*w**q + 2/3*w + 4/3 - j*w**2.
-2*(w - 1)*(w + 1)*(w + 2)/3
Let h(j) be the first derivative of -3*j**4/2 - 41*j**3 - 303*j**2 - 840*j - 7622. Suppose h(s) = 0. Calculate s.
-14, -4, -5/2
Let z = 133 + -119. Let 16*g + 2*g**5 - 44*g**3 - 76*g**2 - 78*g - z - 6*g**4 + 8*g = 0. What is g?
-1, 7
Let u(c) be the first derivative of -c**6 - 9*c**5 - 21*c**4/2 + 51*c**3 - 30*c**2 - 7224. Let u(z) = 0. Calculate z.
-5, -4, 0, 1/2, 1
Factor -3*q**2 + 4569*q + 4041125 - 4041125.
-3*q*(q - 1523)
Suppose 12*r - 11*r = 18. Find t such that -13*t**2 + 9*t**2 + r + 63*t + t**2 + 48 = 0.
-1, 22
Let x(k) be the first derivative of k**8/4200 + k**7/350 + k**6/225 - k**5/50 - k**4/12 + 11*k**3 + 43. Let t(p) be the third derivative of x(p). Factor t(w).
2*(w - 1)*(w + 1)**2*(w + 5)/5
Suppose 33*c - 1126 + 961 = 0. Factor -6/7*j**3 + 0*j - 4/7*j**2 + 2/7*j**c + 0 + 0*j**4.
2*j**2*(j - 2)*(j + 1)**2/7
Suppose 0 = 141*w - 872*w - 21*w + 1504. Factor -2 - 5/4*d**3 + 3/2*d**w + 1/4*d**4 + d.
(d - 2)**3*(d + 1)/4
Let l(y) = -y**2 + 8*y - 10. Let c be l(6). Suppose 3 = 3*g + 5*m + 24, -4*g + 2*m = -24. Factor 2/7*r - 2/7*r**c + 2/21*r**g - 2/21.
2*(r - 1)**3/21
Let w(b) be the third derivative of b**5/420 + 1051*b**4/21 + 8836808*b**3/21 - b**2 + 22*b - 70. Suppose w(j) = 0. Calculate j.
-4204
Suppose -5*l - 11*u = -4*l, 0 = -3*l - 2*u. Let m(f) be the first derivative of -6*f**2 + 36 - f**4 + l*f + 16/3*f**3. Factor m(y).
-4*y*(y - 3)*(y - 1)
Let a(q) = -q**2 - q - 1. Let b(d) = 6*d**2 + 159*d - 1866. Let x be ((-2)/(16/(-12)))/((-1)/6). Let w(v) = x*a(v) - b(v). Factor w(p).
3*(p - 25)**2
Let j(v) be the third derivative of 11/35*v**7 + v**6 - 80*v**2 + 0*v**5 + 0*v**4 + 0*v + 0*v**3 + 1/112*v**8 + 0. Suppose j(m) = 0. What is m?
-20, -2, 0
Let o(j) be the first derivative of -j**4/2 + 1884*j**3 - 2662092*j**2 + 1671793776*j - 5926. Factor o(k).
-2*(k - 942)**3
Let a(j) = j**4 - 2*j**3 - j**2 - 1. Let w(n) = -2*n**3 + 38*n**2 - 2. Let i(m) = -4*a(m) + 2*w(m). Let i(c