 -2*r + 4*i = 3308. Let n = r + 8313/5. Suppose 0 + 3/5*x**3 - n*x + 0*x**2 = 0. Calculate x.
-1, 0, 1
Let b be -2 + -4 - -6*(-8)/(-6). Let y(t) be the first derivative of 1/9*t**3 + 0*t - 15 + 1/12*t**b + 1/24*t**4. Let y(w) = 0. What is w?
-1, 0
Let y = 314 - -23. What is c in -5933*c + y*c**3 + 338*c**3 + 12 + 6125*c + 855*c**2 = 0?
-1, -2/15
Let t(k) = -k + 17. Let j be t(15). Factor -4*g**2 + 4*g**3 - 39*g**4 - 1 + 41*g**4 + 1 - j*g**3.
2*g**2*(g - 1)*(g + 2)
Factor -9*k - 1 - 15*k + 154*k - 3 + 42*k**2 + 24*k**2.
2*(k + 2)*(33*k - 1)
Let x be ((8 - (-216)/(-9))/(24/(-4)))/2. Let h(b) be the third derivative of -1/12*b**5 + x*b**3 - 1/120*b**6 - 1/12*b**4 + 0*b + 0 - 46*b**2. Solve h(w) = 0.
-4, -2, 1
Let q(w) be the third derivative of -w**5/90 + 37*w**4/36 - 70*w**3/9 + w**2 - 91*w. Factor q(m).
-2*(m - 35)*(m - 2)/3
Suppose -72*c + 58*c = -406. Suppose 37*k - 214 = -c. What is y in 0*y**2 - 2/5*y**4 + 0 + 0*y**3 + 1/5*y**k + 0*y = 0?
0, 2
Let w(y) be the first derivative of -5*y**3/3 - 385*y**2/2 - 1110*y - 12852. Factor w(u).
-5*(u + 3)*(u + 74)
Suppose 6 - 60 = -2*m. Let a = m - 27. Suppose -i**3 + 2*i**4 + i**5 + a*i**3 + 4*i**5 - 6*i**5 = 0. Calculate i.
0, 1
Suppose -5*t + 3*j + 1496 = 1499, -4*t + 3 = 3*j. Factor 9*o**2 + 27/2*o**3 + 6*o**4 + t + 3/2*o.
3*o*(o + 1)**2*(4*o + 1)/2
Let j(l) = -21*l - 70. Let u be j(-4). Let c be (16/(-28))/((-12)/u). Find h, given that 0 + c*h**2 + 2*h = 0.
-3, 0
Suppose -o + 5 = 0, -4*g - 3*o + 12 = o. Let k(x) = -42*x**2 + 4*x. Let f(u) = 2*u**2 - u. Let c(q) = g*k(q) - 44*f(q). Factor c(j).
-4*j*(j - 9)
Let f = 4/875 - 593/168000. Let x(p) be the third derivative of 1/480*p**5 + 0 + 0*p**4 - 15*p**2 + 0*p + f*p**6 + 0*p**3. Factor x(w).
w**2*(w + 1)/8
Let s(z) be the second derivative of -z**6/195 - 37*z**5/65 - 431*z**4/26 + 2812*z**3/39 - 1444*z**2/13 + 228*z - 2. Factor s(v).
-2*(v - 1)**2*(v + 38)**2/13
Let m = -559250 + 559250. Let a = -38/63 + 8/9. Factor m - 16/7*w**2 + 12/7*w**3 + 0*w**4 - a*w**5 + 6/7*w.
-2*w*(w - 1)**3*(w + 3)/7
Let j(i) be the third derivative of -28/9*i**3 - 1/30*i**6 + 17*i + 2/3*i**4 + 11/90*i**5 - 1/315*i**7 + 0 + 5*i**2. What is w in j(w) = 0?
-7, -2, 1, 2
Let m(g) be the first derivative of 65*g**4 - 70*g - 235/2*g**2 + 28*g**5 - 70/3*g**3 + 126 - 25/6*g**6. Determine a so that m(a) = 0.
-1, -2/5, 1, 7
Suppose -12 = 8*o - 11*o. Factor 150*x**3 - 268*x**5 + 38*x**4 + 47*x**o + 273*x**5 - 75 - 155*x - 10*x**2.
5*(x - 1)*(x + 1)**3*(x + 15)
Suppose -j + 4424 = 2*c, -4*c = -0*j - 2*j - 8856. Factor 3101 + 168*m**2 + 751 + 2352*m + c + 4*m**3 + 4911.
4*(m + 14)**3
Let z(j) be the second derivative of j**6/240 - j**5/60 - j**4/16 - 36*j**2 + j + 42. Let t(k) be the first derivative of z(k). Suppose t(h) = 0. Calculate h.
-1, 0, 3
Let n(x) = 2*x**3 + 17*x**2 + 12*x - 16. Let s(y) = y**3 + 8*y**2 + 6*y - 8. Let g(c) = 2*n(c) - 5*s(c). Let z be g(-4). Factor 3/4*p**2 - 1/4*p**3 - 1/2*p + z.
-p*(p - 2)*(p - 1)/4
Let l(y) be the first derivative of -256*y - 404/3*y**3 + 324*y**2 + 3*y**4 - 87. Let l(m) = 0. What is m?
2/3, 1, 32
Factor -1/2*q**2 + 9*q - 28.
-(q - 14)*(q - 4)/2
Solve -15*g**2 + 3354*g - 25*g**2 + 5547 + 150*g**2 + 397*g**2 = 0.
-43/13
Let c be 12 + -18 - (-4 - (-1 + 7)). Let y be (3/2 - 0)*6. Factor -21*f**4 - 12 + 6*f**3 + y*f**2 + 40*f**c - 12*f - 22*f**4.
-3*(f - 2)**2*(f + 1)**2
Let w be 19/12 - 4/(-6). Let b be ((-60)/88)/(-5)*8217/1494. Factor 9/4 + 3/4*t**3 - b*t - w*t**2.
3*(t - 3)*(t - 1)*(t + 1)/4
Let q(g) be the first derivative of 4*g**5/5 + g**4 - 20*g**3/3 + 6*g**2 + 1069. Let q(r) = 0. What is r?
-3, 0, 1
Let g be (8/(-5) + 2)/(1/10). Determine p, given that -8*p**2 - 4*p + 0*p**5 - p**g - 3*p**3 + p**5 + 7*p**4 - 4*p**4 = 0.
-2, -1, 0, 2
Let h(o) be the third derivative of 1/12*o**4 - 96*o**2 + 0 + 10/7*o**3 - 1/210*o**5 + 0*o. Factor h(j).
-2*(j - 10)*(j + 3)/7
Let m be 1604/882 + 132/(-190806)*59. Factor -8/9*s**3 - 1/9*s**4 - 5/9 - m*s - 2*s**2.
-(s + 1)**3*(s + 5)/9
Let h be 10/(-30)*(7 - (93/12 - (-15)/(-20))). Determine q so that -185/3*q**3 + h*q - 65/3*q**4 + 20/3*q**5 + 50/3*q**2 + 0 = 0.
-2, 0, 1/4, 5
Let i(l) be the first derivative of 156 + 2/115*l**5 + 0*l**2 + 0*l - 4/23*l**4 + 14/69*l**3. Factor i(h).
2*h**2*(h - 7)*(h - 1)/23
Let u(m) = -7*m**2 + 4569*m + 9366. Let o(p) = -p**2 + 652*p + 1338. Let x(l) = -20*o(l) + 3*u(l). Find k such that x(k) = 0.
-2, 669
Suppose -5*m + 6*u = 2*u - 5793, -3*m = -5*u - 3481. Solve 8*l**3 + 2*l**4 + 1149*l - l**2 - m*l - l**2 = 0.
-4, -1, 0, 1
Let l be (-24)/(-10) - 4/10. Let i = -1081 - -1085. Factor v**l + i*v - 3 + 5 + 0 + v**2.
2*(v + 1)**2
Let d(o) = -35*o**2 + 7935*o - 73690. Let j(p) = -3*p**2 + 690*p - 6408. Let y(g) = -7*d(g) + 80*j(g). Determine c so that y(c) = 0.
11, 58
Let q be -9 + (-16)/(-8) - -3. Let r be (q/(-6))/(45/(-216)) + 4. Suppose 1/5*s**4 + 8/5*s**2 - r*s - s**3 + 0 = 0. Calculate s.
0, 1, 2
Let k(p) be the third derivative of -p**8/84 + 4*p**7/15 + 16*p**6/15 - 706*p**2. Let k(a) = 0. Calculate a.
-2, 0, 16
Let r be ((-11)/((-550)/(-5284)))/(5/(-225)). Let c = r - 4734. Factor -36/5*l + c + 3/5*l**2.
3*(l - 6)**2/5
Let x(z) = -z**3 + 16*z**2 - 21*z - 231. Let c be x(6). Factor 20/3*a + 2/9*a**5 + 16/9 + 58/9*a**c + 2*a**4 + 86/9*a**2.
2*(a + 1)**3*(a + 2)*(a + 4)/9
Let j = -63 + 44. Let g = -17 - j. Let 91*y**2 + 2*y**3 - 7*y**3 - 91*y**g + 20*y**4 = 0. What is y?
0, 1/4
Find g, given that -34 + 17/2*g**2 - g + 1/4*g**3 = 0.
-34, -2, 2
Let g(d) be the first derivative of -109 - 81/2*d**6 + 16/3*d - 32*d**2 - 9*d**4 + 656/9*d**3 - 567/5*d**5. Solve g(y) = 0 for y.
-2, -1, 2/9
Let m = -289 + 291. Determine b, given that -3*b**4 + 235 - m*b**4 + 28*b + 17*b**2 - 223 - 3*b**3 - b**5 = 0.
-3, -2, -1, 2
Let a(r) be the first derivative of 2*r**3/21 + 53*r**2/14 - 12*r - 4731. Factor a(s).
(s + 28)*(2*s - 3)/7
Find r, given that 63648*r**2 + 2/7*r**4 + 40691200/7*r + 40247296/7 + 1634/7*r**3 = 0.
-272, -1
Let x(b) = -46*b**2 + 6790*b + 1716. Let f(r) = 3*r**2 - r - 2. Let l(k) = 10*f(k) + x(k). Factor l(g).
-4*(g - 424)*(4*g + 1)
Factor -11*h**2 - 8*h**2 + 103*h - 210 + 35*h**2 - 15*h**2.
(h - 2)*(h + 105)
Let o = -12/4799 + 43287/38392. Factor -o*t - 3/8*t**2 - 3/4.
-3*(t + 1)*(t + 2)/8
Let a = 10347 + -175657/17. Factor 128/17 + 1344/17*l - 1848/17*l**3 + 3176/17*l**2 + a*l**4.
2*(l - 4)**2*(11*l + 2)**2/17
Let x be 0*5/(-5) - (-2 - 0). Let u(v) be the first derivative of 1466*v**x - 2 + 4*v**3 - 2*v**4 + 3 - 1462*v**2. Factor u(z).
-4*z*(z - 2)*(2*z + 1)
Let i(p) = 2*p**3 - 88*p**2 - 288*p + 12674. Let l be i(44). Determine u so that -3/2*u**4 - 6*u - 20*u**3 + 0 - 49/2*u**l = 0.
-12, -1, -1/3, 0
Factor -19/2*m + 1/4*m**2 + 60.
(m - 30)*(m - 8)/4
Suppose 0 = i + 5*w - 279, 5286*i - w = 5286*i - 15. Factor 248/5*c - 16/5 - i*c**2 + 90*c**3.
2*(c - 2)*(15*c - 2)**2/5
Let s(m) be the second derivative of -m**6/1080 + m**5/90 - m**4/18 + 9*m**3/2 - 128*m. Let l(n) be the second derivative of s(n). Solve l(q) = 0 for q.
2
Let c(w) be the second derivative of -w**4/9 - 28*w**3/9 - 32*w**2 + 726*w + 2. Determine r, given that c(r) = 0.
-8, -6
Let o = 766126 - 766124. Factor 4/7 + 2/7*j**4 + 18/7*j**2 - 10/7*j**3 - o*j.
2*(j - 2)*(j - 1)**3/7
Let s be 5 + (-5 - (4025/(-2) + 7)). Let q = -1989 + s. Solve 15*m - q*m**3 + 3/2*m**4 + 21/2*m**2 - 12 + 3/2*m**5 = 0 for m.
-4, -1, 1, 2
Suppose 5*m - 3*k - 176 = 7, 2*m - 67 = -5*k. Suppose 0 = 9*v - m. Find y, given that 10*y**2 - v*y + y**4 + 9*y**4 - 8*y**3 - 8*y**4 = 0.
0, 1, 2
Let w = 76394/3 - 26083. Let l = -617 - w. Factor -4/3*d**2 - l - 8/3*d.
-4*(d + 1)**2/3
Factor -56*k**2 - 10*k**2 - 22*k**2 - 448 - 440*k + 2*k**3 - 16*k**2.
2*(k - 56)*(k + 2)**2
Let i be (-170)/(-6) + 12 + -27. Let g(c) be the first derivative of -17 - 51*c**2 + 25/2*c**4 - 36*c - i*c**3. Suppose g(u) = 0. What is u?
-3/5, 2
Factor -20*l**2 - 4/3*l**4 + 0 - 32/3*l**3 + 0*l.
-4*l**2*(l + 3)*(l + 5)/3
Let q = 13209 - 13206. Let r = 19 + -37/2. Factor -1/2*i**q + 0 - r*i + i**2.
-i*(i - 1)**2/2
Let v be (-7)/(-5) + 24/(-60) - -5. Let s(m) = -3*m**2 + 20*m. Let r(y) = -4*y**2 + 18*y. Let h(c) = v*s(c) - 5*r(c). Factor h(p).
2*p*(p + 15)
Suppose 0 = 48*z - 44*z - 5*w + 8, -26 = -2*z - 5*w. Let f(l) be the first derivative of -8*l**z - 3*l**4 + 33/2*l**2 - 9