+ 4*x - 109, -3*f + 3*x = a*x - 89. What is i in 4*i**2 - f*i + 36*i - 9*i**2 - 10*i**3 = 0?
-1, 0, 1/2
Let n = -68203 + 136417/2. Suppose -121/4 - n*q - 1/4*q**2 = 0. Calculate q.
-11
Let i(l) be the third derivative of l**7/490 - 3*l**6/280 - 9*l**5/140 - 5*l**4/56 - 2*l**2 + 471. Solve i(f) = 0 for f.
-1, 0, 5
Let m be (2/(-4))/((-63)/12). Let c be 204/(-42)*(-202)/1717. Let -10/21 - m*u**2 - c*u = 0. What is u?
-5, -1
Suppose -8/3*c**2 + 16*c + 0 - 5/3*c**3 + 1/3*c**4 = 0. What is c?
-3, 0, 4
Let m be ((-360)/32)/(-15) + 564/16. Let r be m/(-144)*(2/1 - 6). Determine i, given that 2/3*i + 1/3*i**2 - r = 0.
-3, 1
Let t(c) = -c**3 - 35*c**2 + 38*c + 72. Let k be t(-36). Let g(d) be the third derivative of 15*d**2 + 0*d - 1/30*d**5 + k - 4/3*d**3 + 1/3*d**4. Factor g(h).
-2*(h - 2)**2
Let y(u) be the first derivative of 11*u**3 - 12*u - 9*u**4 - 21/5*u**5 + 205 + 18*u**2. Suppose y(r) = 0. What is r?
-2, -1, 2/7, 1
Let y be ((-224)/360 + 4/18)*-5. Let 134*j**y - 17*j + 22*j - 139*j**2 = 0. Calculate j.
0, 1
Let q(u) be the first derivative of -u**4/12 + 1415*u**3/9 + 2833*u**2/6 + 1417*u/3 + 5791. Factor q(i).
-(i - 1417)*(i + 1)**2/3
Suppose 846957 = 205*m + 846957. Find s, given that 5/2*s**3 + m + 30*s - 65/2*s**2 = 0.
0, 1, 12
Let s(t) be the first derivative of t**4/6 + 4*t**3/9 - 11*t**2/3 - 8*t - 2730. Determine i so that s(i) = 0.
-4, -1, 3
Let g = -99173 - -991731/10. What is c in -g + 8/5*c**2 - 3/2*c = 0?
-1/16, 1
Determine c so that -68*c + 208/3*c**3 - 344/3*c**2 + 120 - 16/3*c**4 - 4/3*c**5 = 0.
-10, -1, 1, 3
Let p(m) = 11*m**2 + 311*m + 644. Let q(c) = -100*c**2 - 2795*c - 5795. Let k(n) = -55*p(n) - 6*q(n). Factor k(d).
-5*(d + 2)*(d + 65)
Find s, given that -116*s**3 + 1/2*s**4 + 7059*s**2 - 37516*s - 89383/2 = 0.
-1, 7, 113
Suppose -85*f - 57*f = 174*f - 948. What is n in 4/9*n**4 - 8/9*n**2 + 4/9*n**f + 4/9 - 2/9*n - 2/9*n**5 = 0?
-1, 1, 2
Let r(a) = a**2 + 3052*a - 30617. Let z be r(10). Factor -9*d - 54/5*d**2 - 12/5 - 21/5*d**z.
-3*(d + 1)**2*(7*d + 4)/5
Suppose -36*p - 109*p = 0. Let d(j) be the third derivative of 0*j + p*j**3 - 13*j**2 - 1/420*j**5 + 1/84*j**4 + 0. Factor d(g).
-g*(g - 2)/7
Let l(q) be the second derivative of q**5/5 - 23*q**4/34 + 12*q**3/17 - q**2/17 - 3160*q. Find n, given that l(n) = 0.
1/34, 1
Let s(f) be the third derivative of f**7/840 - 9*f**6/160 + 23*f**5/120 + 9*f**4/8 - 25*f**3/3 - 6137*f**2. Factor s(v).
(v - 25)*(v - 2)**2*(v + 2)/4
Let i(l) be the second derivative of -l**6/40 - 27*l**5/80 - 11*l**4/16 + 21*l**3/8 + 173*l - 6. Solve i(u) = 0 for u.
-7, -3, 0, 1
Let t(b) be the first derivative of b**6/12 - 43*b**5/10 + 333*b**4/4 - 2171*b**3/3 + 10309*b**2/4 - 6591*b/2 - 3199. Factor t(c).
(c - 13)**3*(c - 3)*(c - 1)/2
Let w(m) be the first derivative of 7/12*m**3 - 1/20*m**5 - 1/8*m**4 + 3*m + 15 + 5/2*m**2. Factor w(j).
-(j - 3)*(j + 1)*(j + 2)**2/4
Let g(x) be the second derivative of x**5/160 + 7*x**4/8 - 29*x**3/16 - 85*x**2/8 + 1749*x. Factor g(q).
(q - 2)*(q + 1)*(q + 85)/8
Let z be 330/(-70) - (-1 + (-18)/(-14)). Let s be ((-60)/9)/z*18. What is b in -9 - s*b - 2*b**2 + 7 - 20 = 0?
-11, -1
Let f(b) = -3*b**5 - b**4 + 3*b**3 - b**2 - b. Let z(n) = -58*n**5 + 279*n**4 - 507*n**3 + 245*n**2 + 93*n. Let c(s) = 6*f(s) - 2*z(s). Factor c(v).
2*v*(v - 2)**3*(49*v + 12)
Let s = -5/10242 + 29599415/71694. Let p = -412 + s. Factor -20/7*j**2 - p*j - 12/7*j**4 + 0 - 24/7*j**3 - 2/7*j**5.
-2*j*(j + 1)**3*(j + 3)/7
Let i(o) be the first derivative of -7*o**5/80 + 5*o**4/16 + o**3 - 7*o**2/2 - 6*o + 13. Let k(t) be the second derivative of i(t). Factor k(r).
-3*(r - 2)*(7*r + 4)/4
Let a be ((-3)/138)/(((-6060)/16)/(-15)). Let g = 2311/13938 - a. Determine x, given that -g*x + 0 + 2/3*x**2 = 0.
0, 1/4
Let n be -1 + 3/(-1) - 3. Let i(f) = f + 12. Let m be i(n). Factor -m*r**3 - 5*r - 23*r - 30*r**2 - 32*r - 40.
-5*(r + 2)**3
Let w(q) be the third derivative of -q**8/1344 - 5*q**7/252 - q**6/16 - q**4/24 - q**3/3 + 68*q**2. Let x(y) be the second derivative of w(y). Factor x(m).
-5*m*(m + 1)*(m + 9)
Find a, given that -152/9*a - 44/9 - a**3 + 205/9*a**2 = 0.
-2/9, 1, 22
Suppose 57*c = 575 + 109. Suppose c + 32*l + 31*l - 19 + 33 - 5*l**2 = 0. What is l?
-2/5, 13
Let f = 19/65353 + 2483319/326765. Factor -f*w + 12/5 - 14/5*w**2.
-2*(w + 3)*(7*w - 2)/5
Let w(b) = b**3 - 7*b + 2. Let l be w(3). Let o be (l/144)/((-4)/(-16)). Suppose 2/9*u**2 - o*u**4 - 2/9*u**5 + 2/3*u**3 - 4/9*u + 0 = 0. Calculate u.
-2, -1, 0, 1
Let y(x) be the second derivative of 67*x**6/150 + 69*x**5/50 - 59*x**4/60 - 23*x**3/5 - 4*x**2/5 + 10*x - 123. Let y(o) = 0. Calculate o.
-2, -1, -4/67, 1
Let v(u) be the second derivative of u**5/50 + 5*u**4/3 - 212*u**3/15 + 216*u**2/5 + 3*u - 18. Let v(g) = 0. What is g?
-54, 2
Factor -426*n**2 + 423*n**2 - 189 + 19*n + 173*n.
-3*(n - 63)*(n - 1)
Let i(f) = -11*f**2 - 27*f - 6. Let v(n) = 10*n**2 + 25*n + 5. Suppose -11*z + 62 = -4. Let q(d) = z*v(d) + 5*i(d). Factor q(a).
5*a*(a + 3)
Factor -1/2*o**2 + 99/2 - 15*o.
-(o - 3)*(o + 33)/2
Determine u, given that -u**5 + 22*u**2 - 6*u**5 + 10*u**2 + 39*u**4 + 40*u**3 + 3*u**5 - 35*u**4 = 0.
-2, -1, 0, 4
Let p(j) = 4*j**2 + 2*j + 8. Let m be p(-2). Suppose f - 2*t = 12, -2*f + t = -7 - m. Factor -4081*g**4 - f*g**3 + 39*g**3 + 13*g**2 + 17*g**2 + 4086*g**4.
5*g**2*(g + 2)*(g + 3)
Suppose 2*u + 3*j = 0, -6 = -u + j - 1. Suppose 3*d = u*x + 30, 2*x - 10 = d + 5*x. Find q, given that 4*q**3 - 6 + 10*q**2 + q**3 - 4 - d*q = 0.
-2, -1, 1
Let v(i) = 15*i**2 + 3460*i + 6770. Let w(n) = 10*n**2 + 2308*n + 4513. Let x(y) = -7*v(y) + 10*w(y). Suppose x(b) = 0. What is b?
-226, -2
Let i be (270*15/150)/4. What is d in 3/4*d**2 - 33/2 + i*d = 0?
-11, 2
Let -14/9*b**3 - 10/9*b**4 + 116/9*b**2 + 0 + 16/3*b = 0. What is b?
-4, -2/5, 0, 3
Let x = 76 + -74. Solve -24*u + 0*u**4 + 205*u**3 + 210*u**3 - 16*u**2 + x*u**4 + 0*u**4 - 413*u**3 = 0.
-2, 0, 3
Suppose 431*r - 15 = 426*r. Let a be ((-588)/18)/(-7) - (-2)/(-3). Determine l, given that -13/2*l - 3 - 1/6*l**a - 29/6*l**2 - 3/2*l**r = 0.
-3, -2, -1
Let f = 51/25 - 41/25. Let c(o) be the first derivative of 1/10*o**2 + 34/25*o**5 + 3/10*o**6 - f*o - 24 + 23/10*o**4 + 8/5*o**3. Let c(j) = 0. Calculate j.
-1, 2/9
Factor 12/11*n**4 - 64/11*n**2 + 0*n + 2/11*n**5 + 0*n**3 + 0.
2*n**2*(n - 2)*(n + 4)**2/11
Let r be ((-1245)/5312)/((-220)/352). Factor -r*x**2 - 165/8*x + 21.
-3*(x - 1)*(x + 56)/8
Let h be ((392/35)/8 + 1)*5/3. Let x(z) be the first derivative of 9/4*z**3 + 12*z + 9*z**2 + 23 + 3/16*z**h. Factor x(c).
3*(c + 1)*(c + 4)**2/4
Factor 26*i**3 + 25*i**4 + 5*i**5 + 867 + 815 - 1682 - 6*i**3.
5*i**3*(i + 1)*(i + 4)
Suppose -6*c = 5*s - 7*c - 16, -5*s - 4*c + 11 = 0. Determine a, given that -11*a - 5*a - s*a**3 + a - 15*a**2 + 11 - 2*a**3 - 16 = 0.
-1
Suppose -91/2*m**3 + 179/2*m**2 - 89/2*m + 0 + 1/2*m**4 = 0. Calculate m.
0, 1, 89
Suppose -89*d + 318*d - 104*d - d**2 - 97*d = 0. What is d?
0, 28
Let f(d) be the second derivative of -d**4/24 - 1055*d**3/6 - 1113025*d**2/4 - 1353*d. Factor f(a).
-(a + 1055)**2/2
Let g(c) be the first derivative of -14/3*c**3 + 0*c - 4*c**4 + 1/6*c**6 - 224 + 14/5*c**5 + 15/2*c**2. Suppose g(y) = 0. Calculate y.
-15, -1, 0, 1
Let n(o) = 35*o**2 - 20*o + 140. Let w(q) = -43*q**2 + 21*q - 140. Let j(z) = -6*n(z) - 5*w(z). Factor j(c).
5*(c - 4)*(c + 7)
Let u(r) be the first derivative of 3*r**5/40 - 69*r**4/8 - 93*r**3/8 - 633. Factor u(k).
3*k**2*(k - 93)*(k + 1)/8
Let f(n) = 8*n**3 + 6*n**2 - 54*n + 50. Let w(q) = 11*q**3 + 8*q**2 - 55*q + 51. Let p(t) = 3*f(t) - 2*w(t). Factor p(x).
2*(x - 4)*(x - 1)*(x + 6)
Suppose 0 = -4*b + 9*b. Suppose -6*r + t = -7*r + 11, 3*r - 33 = -4*t. Factor 2 + 4*v - 2*v + r*v**2 - 13*v**2 - 2*v**3 + b*v.
-2*(v - 1)*(v + 1)**2
Let o(s) be the third derivative of 7*s**5/30 + 16585*s**4/12 + 4738*s**3/3 + 36*s**2 - 22*s. Find k, given that o(k) = 0.
-2369, -2/7
Let g be (7 - 2)*1 + -1. Suppose -g*d = 16, -d = -5*j + j + 12. Factor 6 + 0 - 5*k**2 + 25*k**j + 20*k - 1.
5*(2*k + 1)**2
Let g(k) be the second derivative of k**4/48 - 1807*k**3/12 + 3265249*k**2/8 + 3552*k. Factor g(j).
(j - 1807)**2/4
Let j = -1578 - -1554. Let v be (-576)/(-88) - j/(-44). Suppose 105/2*i**2 + v + 75/4*i**3 + 33*i = 0. Calculate i.
-2, -2/5
Let v(b) be the firs