 + 29241*x**3/2 + x + 233. Suppose c(q) = 0. What is q?
-171, 0, 1
Let a(b) be the first derivative of -2*b**6/3 + 436*b**5/5 - 2800*b**4 - 12544*b**3 - 6. Factor a(t).
-4*t**2*(t - 56)**2*(t + 3)
Let k be (8/48)/(1/18). Solve t**k + 9 - 3*t - 9*t**2 + 2*t**3 + 0*t**3 = 0 for t.
-1, 1, 3
Let c = -629321 - -629325. Determine x so that -16*x**2 - 15*x + 1/2*x**c - x**3 + 63/2 = 0.
-3, 1, 7
Let a(c) be the first derivative of 5*c**4/4 + 35*c**3 - 3592. Suppose a(r) = 0. What is r?
-21, 0
Find s, given that -1161/5 - 1164/5*s - 3/5*s**2 = 0.
-387, -1
Let o(h) be the second derivative of -11*h**6/120 - 29*h**5/16 + 293*h**4/48 - 107*h**3/24 - 15*h**2/4 - 667*h. Suppose o(u) = 0. Calculate u.
-15, -2/11, 1
Let n(o) = -o**2 + o - 8. Let a(g) = 24*g**2 - 1678*g - 340930. Let w(i) = 2*a(i) + 52*n(i). Factor w(x).
-4*(x + 413)**2
Determine m so that -1/2*m**2 - 27/2*m - 55 = 0.
-22, -5
Let t(m) be the third derivative of 0 + 0*m**3 + 0*m**4 + 1/14*m**7 - 13*m**2 + 7/12*m**5 + 5/12*m**6 + 0*m. Find z such that t(z) = 0.
-7/3, -1, 0
Let w(s) be the first derivative of -s**5/10 - 4*s**4 + 44*s**3 + 2080*s**2 - 33800*s + 3386. Solve w(k) = 0 for k.
-26, 10
Let a(c) = -c**2 - c - 9. Let w be a(-3). Let m be -6 - (w - -3 - -6). Factor -1/6 + 1/6*v**2 + m*v.
(v - 1)*(v + 1)/6
Solve 4/7*o**4 + 228/7*o**2 - 12*o**3 + 72/7 - 220/7*o = 0.
1, 18
Let m(i) be the third derivative of -3*i**6/80 - i**5/2 - 517*i**4/192 - 121*i**3/16 + 200*i**2. Factor m(x).
-(x + 3)*(6*x + 11)**2/8
Let k = -237 + 240. Suppose 0 = -4*o + 3*d - 4, 3*o - 3*d = 2*d - 14. Factor 3*i**4 + 6 + 31*i**2 + 37*i**o + k*i - 3*i**3 - 77*i**2.
3*(i - 2)*(i - 1)*(i + 1)**2
Let v(l) be the second derivative of l**6/105 - 3*l**4/14 + 4*l**3/21 + 12*l**2/7 + 731*l. Factor v(k).
2*(k - 2)**2*(k + 1)*(k + 3)/7
Suppose -4*l + 3*i = -8*l - 7, -3*l = 4*i + 14. Let 60*m**5 + 3*m**2 + 6*m**3 + 3*m**2 - 3*m**4 - m**2 - 66*m**5 - 2*m**l = 0. Calculate m.
-1, -1/2, 0, 1
Let k be ((-56)/(-33) + -2)*((-4)/(-3))/((-7796)/17541). Find g such that -24/11 - k*g**2 - 64/11*g = 0.
-6, -2/5
Let l = -448 - -796. Solve -370*f**2 + l*f**2 - 25*f**5 + 35*f**3 + 65*f**5 + 2*f - 98*f**4 + 43*f**3 = 0.
0, 1/5, 1/4, 1
Let a be -2*1/8 + 90/8. Suppose -8*s + 4*s = a*s. Let s*i**2 - 1/5*i**3 + 0*i + 0 = 0. What is i?
0
Let x be (-975)/(-245) - (-573)/28077. Factor 364/9*y**2 + 62/9 + 6*y**x - 82/3*y + 2/9*y**5 - 236/9*y**3.
2*(y - 1)**4*(y + 31)/9
Let f(j) be the first derivative of j**6/90 - j**5/2 + 13*j**4/3 - 4*j**3/3 - 10*j - 269. Let q(v) be the third derivative of f(v). Factor q(b).
4*(b - 13)*(b - 2)
Let o(t) be the second derivative of -t**7/441 + t**6/21 + 71*t**5/210 + 31*t**4/42 + 38*t**3/63 - 96*t - 3. Suppose o(j) = 0. Calculate j.
-2, -1, 0, 19
Let h(f) be the third derivative of 11*f**5/12 + 35*f**4/12 + 667*f**2. Factor h(s).
5*s*(11*s + 14)
Solve -23*z**3 - z**3 - 11 + 28*z**3 + 43 + 24*z**2 + 48*z = 0 for z.
-2
Suppose 704*f - 1337*f - 174 = -720*f. Determine c, given that -18/7*c + 18/7*c**3 - 2/7*c**4 + 0 + 2/7*c**f = 0.
-1, 0, 1, 9
Let h be -3 + 56/8 + -1. Let s be ((5/15 + 0)*0)/h. Determine v so that s - 3/2*v**2 + 0*v**3 - 3/4*v**5 + 3/2*v**4 + 3/4*v = 0.
-1, 0, 1
Factor -115*h - 235/2*h**2 - 5/2*h**3 + 0.
-5*h*(h + 1)*(h + 46)/2
Factor -367/7*i + 6/7 - 123/7*i**2.
-(i + 3)*(123*i - 2)/7
Let u(r) = -3*r**2 - 32*r - 8. Let m be u(-13). Let q be 36/16*(-22)/m. Suppose -2/3*y + q*y**2 + 1/6 = 0. What is y?
1/3, 1
Let h be 169/5 - (-6)/30. Suppose 4*f - h = -3*b - f, -2*b + f + 14 = 0. Suppose b*j**2 + 8*j**4 - 3*j**4 - 4*j**2 + 0*j**5 + 8*j**3 + j**5 = 0. What is j?
-2, -1, 0
Factor 3*m**4 - 2*m**4 - 5*m**5 - 7*m**5 + 3*m**2 - m**3 + 11*m**5 - 4*m**4 + 2*m.
-m*(m - 1)*(m + 1)**2*(m + 2)
Solve 7/4*b**2 + b - b**3 + 1/8*b**4 - 15/8 = 0 for b.
-1, 1, 3, 5
Find h, given that 2*h + 3*h + 3*h + 5*h**2 - 15 + 9*h - 27*h = 0.
-1, 3
Let q = -33 + 47. Let v(j) = -j**3 + 16*j**2 - 29*j + 18. Let y be v(q). Determine k, given that -2*k**3 + k**3 + 6*k**y - 5*k**4 = 0.
0, 1
Let f be 7/(-2) - 13/(-26). Let c be f/(9/(-7)) + 2/3. Factor 3*s + 2*s + c*s + 0*s + 4*s**2.
4*s*(s + 2)
Let b(q) be the first derivative of -110 + 0*q - 57/2*q**2 - q**3. Factor b(i).
-3*i*(i + 19)
Let q(v) be the first derivative of -v**3/6 - 7*v**2/2 - 49*v/2 - 5552. Factor q(f).
-(f + 7)**2/2
Let w(a) be the first derivative of 22 + 0*a - 35/4*a**4 + 95/3*a**3 - 25*a**2. Let w(g) = 0. What is g?
0, 5/7, 2
Suppose 0*w = 4*w - 2*h, 4 = -4*w + 4*h. Let c be 5*((-16)/(-10) - w). Factor -10*y**2 + 5*y**c - 15 + 5*y + 11 + 4.
5*y*(y - 1)**2
Suppose i = -d + 9, -128 = -2*i + 6*d - 166. Let -4/5*b**i - 2/5*b**5 - 22/5*b**3 + 16/5 + 24/5*b - 12/5*b**4 = 0. What is b?
-2, -1, 1
Let m(k) be the third derivative of k**6/300 - 238*k**5/75 + 19039*k**4/20 - 37446*k**3/5 - 2*k**2 + 567*k + 3. Suppose m(i) = 0. What is i?
2, 237
Suppose 109*o - 646 = 126*o. Let u be (19 - -2)*o/171 - -6. Factor 0 + 8/3*i + 2/3*i**5 + 8/3*i**2 - 2*i**3 - u*i**4.
2*i*(i - 2)**2*(i + 1)**2/3
Let j(u) be the first derivative of -2*u**3/3 + 251*u**2 - 908. Factor j(a).
-2*a*(a - 251)
Let n(j) be the second derivative of j**7/42 + j**4/12 - 3*j - 7. Let w(l) = 5*l**5 + 9*l**4 - 12*l**3 - 46*l**2 + 48. Let k(o) = 2*n(o) - w(o). Factor k(f).
-3*(f - 2)*(f - 1)*(f + 2)**3
Let h(g) be the first derivative of -g**4/14 - 184*g**3/21 - 2645*g**2/7 - 48668*g/7 - 3620. Determine k, given that h(k) = 0.
-46, -23
Let g(q) = -q - 1. Let n(h) = 24*h - 73. Let u be n(3). Let m(y) = -4*y**2 - 76*y - 328. Let c(b) = u*m(b) + 4*g(b). Factor c(t).
4*(t + 9)**2
Let p(k) be the third derivative of k**6/24 + 379*k**5/4 + 718205*k**4/8 + 272199695*k**3/6 + 539*k**2 + 2*k. Factor p(s).
5*(s + 379)**3
Let z be 44396/3027 - (-3 + 20/8)*-16. What is a in 32/3 + 2/3*a**2 + z*a = 0?
-8, -2
Suppose 52*a - 41*a = 0. Let k be (-116)/145*(-1 + a). Factor -k*b**2 - 4*b + 24/5.
-4*(b - 1)*(b + 6)/5
Let z(y) = 3*y**3 - 13*y**2 + 39*y - 15. Let f(d) = -4*d**3 + 20*d**2 - 59*d + 21. Let w(l) = 5*f(l) + 7*z(l). Suppose w(m) = 0. What is m?
-11, 0, 2
Let i(s) be the third derivative of s**8/1344 + 11*s**7/840 + 7*s**6/96 + 5*s**5/48 - 3*s**4/8 - 3*s**3/2 + 404*s**2. Find v, given that i(v) = 0.
-6, -3, -2, -1, 1
Let u(n) be the first derivative of 1/15*n**6 + 0*n**2 + 1/2*n**5 - 13 + 7/6*n**4 - 22*n + n**3. Let d(g) be the first derivative of u(g). Factor d(r).
2*r*(r + 1)**2*(r + 3)
Let a be (2015/135 - 15) + (-140)/(-675). Determine p so that 0*p**2 - a*p**3 + 0*p - 4/15*p**4 + 0 - 2/15*p**5 = 0.
-1, 0
Let s be ((-459)/(-1683))/(14/154). Find j such that -2146/3*j**s - 6728/3*j**4 + 0 - 2/3*j - 124/3*j**2 = 0.
-1/4, -1/29, 0
Let z(t) be the first derivative of 3*t**4/10 - 484*t**3/15 - 81*t**2/5 - 858. Factor z(c).
2*c*(c - 81)*(3*c + 1)/5
Let i be 581/166 - ((-18)/(-4))/3. Find w, given that -52*w + 21*w**2 + 10*w**3 - 13*w**2 + 20*w**i + 46*w = 0.
-3, 0, 1/5
Let s(y) = -y**2 + y - 2. Let q(f) be the second derivative of 35*f**5/4 + 49*f**4/12 - 4*f**3/3 + 6*f**2 + 2*f - 23. Let g(o) = -5*q(o) - 30*s(o). Factor g(i).
-5*i*(7*i + 2)*(25*i - 1)
Suppose -1214*d - 4 = -1210*d. Let j be ((-5)/3 - 4) + (d - -7). Solve -j*o + 1/12*o**2 + 0 = 0 for o.
0, 4
Let j be (4 + 119/(-28))*-12. Let f(s) = -4*s**2 + 32*s - 4. Let r(m) = 4*m**2 - 31*m + 3. Let i(v) = j*f(v) + 4*r(v). Let i(g) = 0. Calculate g.
0, 7
Let q be 2574/52*(-528)/(-72). Factor -231/2*i - q + 30*i**2 - 3/2*i**3.
-3*(i - 11)**2*(i + 2)/2
Let f be (1308/(-9) - -3)/(11/(-297)). Suppose -f*u - 14 = -3850*u. Solve 2/7*p + 0 - 2/7*p**u = 0 for p.
0, 1
Let s(c) = -c**2 + 21*c + 34. Let x be s(22). Suppose -57 = -x*g - 21. Solve 1/9*r**g + 0 + 0*r - 4/9*r**2 = 0.
0, 4
Let s(u) = -u**2 - 7*u - 9. Let l be s(-4). Let j be l/(-1) - (1 + -6). Factor -16*z - 53*z**j - 27*z**2 + 10 - 10 - 84*z**3.
-4*z*(3*z + 2)*(7*z + 2)
Suppose -5*a + 3*s + 18 = -3*a, -5*s - 29 = -3*a. Factor -6*n**2 + a*n**3 - 98*n + 18 - 83*n + 166*n.
3*(n - 3)*(n - 1)*(n + 2)
Let n(m) = -7*m**2 - 2*m - 6. Let k(d) be the second derivative of d**4/12 - d**3/6 - d**2/2 - d + 70. Let i(z) = -6*k(z) - n(z). Factor i(l).
(l + 2)*(l + 6)
Let x(o) = 3*o + 2. Let q be x(4). Suppose -n - 22 = -29. Suppose 5*l - 9*l**2 + n + q - 6*l**2 - 5*l**3 - 6 = 0. Calculate l.
-3, -1, 1
Let r(y) be the third derivative of -y