 - 6)*(l - 2)*(l - 1)/2
Let p(q) = q**3 + 10*q**2 + 12*q + 2. Suppose 9*y = 2*y - 56. Let x be p(y). Find v, given that 31*v**2 - x*v**2 + v**4 + 2*v**4 = 0.
-1, 0, 1
Let n(p) be the first derivative of -41 + 22/15*p**3 + 2/5*p**4 + 9/5*p + 1/25*p**5 + 12/5*p**2. Factor n(f).
(f + 1)**2*(f + 3)**2/5
Let q(j) = -31*j - 102. Let g be q(-4). Let t be (-37)/370 - g/(-60). Factor 0*w + 2/15*w**2 + 0 + 2/15*w**4 - t*w**3.
2*w**2*(w - 1)**2/15
Let m be 517/(-470) - (-2 + (-3)/(6/(-1))). Let d(o) be the first derivative of -1/5*o**4 + 25 + 0*o + m*o**2 + 0*o**3. Solve d(p) = 0.
-1, 0, 1
Let v(z) be the third derivative of z**7/630 + z**6/216 + 59*z**4/24 - 41*z**2 + z. Let d(l) be the second derivative of v(l). Factor d(t).
2*t*(6*t + 5)/3
Factor 3/5*z**2 - 984/5*z + 80688/5.
3*(z - 164)**2/5
Let i(m) = -10*m + 70. Let d be i(6). Let 5 - 2 + 8*x + x**2 + d + 6*x = 0. Calculate x.
-13, -1
Suppose -3760*r + 3710*r + 100 = 0. Let f(h) be the second derivative of 0 + 0*h**3 + 0*h**r - h + 1/20*h**4. Factor f(q).
3*q**2/5
Let n = 7431650/7 - 1061664. Factor 5408/7 + n*d**2 + 208/7*d.
2*(d + 52)**2/7
Let t(m) be the third derivative of -1/100*m**6 + 27*m**2 + 0*m**3 - 3/20*m**4 + 0*m + 2/25*m**5 + 0. Solve t(z) = 0.
0, 1, 3
Let j(g) be the third derivative of -8 - 39/8*g**4 - 45/2*g**3 + 0*g - 1/200*g**6 + 29/100*g**5 - 3*g**2. Factor j(y).
-3*(y - 15)**2*(y + 1)/5
Let a be (-3 - 0)/(((-306)/17 - -21)*3/(-9)). Let n = 11 + -7. What is m in 1/3*m**n + 0 - 1/3*m**a + 0*m + 0*m**2 = 0?
0, 1
Suppose -3*g + 3*w = 0, -5*w + 25 = 2*g + 4. Let q be g/7 - (-6)/35. Let -29/5*x**3 - 4/5*x - q*x**5 + 4*x**2 + 16/5*x**4 + 0 = 0. Calculate x.
0, 1/3, 1, 2
Let q be (-2)/(-5) - (-530)/50. Suppose -19 + q = -4*n. Find s, given that -4*s**n - 8*s + 0*s**2 + 10*s**2 - 12 - 2*s**2 = 0.
-1, 3
Suppose 28*i + 3*i = -192*i. Let m(c) be the third derivative of i*c + 0*c**3 + 0*c**4 + 1/270*c**6 - 4/135*c**5 + 0 + 21*c**2. Find w, given that m(w) = 0.
0, 4
Let j(s) = -s**2 + 13*s - 40. Let o be j(7). Factor 62*m**3 - 38*m**4 - 3 - 3*m**2 + 19 - m**2 + 6*m**5 - 28*m - 14*m**o.
2*(m - 4)*(m - 1)**3*(3*m + 2)
Find z, given that 11/2*z**4 + 0 + 43/2*z**3 + 1/2*z**5 + 69/2*z**2 + 18*z = 0.
-4, -3, -1, 0
Suppose 40/9*j**3 - 56/3 - 176/9*j + 26/9*j**2 + 2/3*j**4 = 0. What is j?
-14/3, -3, -1, 2
Suppose 80*r = 71*r + 27. Let u(w) = w**4 - w**2 - w + 1. Let t(c) = 8*c**4 - 28*c**3 + 65*c**2 - 74*c + 29. Let m(i) = r*t(i) - 12*u(i). Solve m(d) = 0 for d.
1, 5/2
Factor -1134/5*t - 3/5*t**2 - 107163/5.
-3*(t + 189)**2/5
Find k such that -2/9*k**2 - 50/9 - 52/9*k = 0.
-25, -1
Let p be (((-12)/(-63))/(28/42))/((-90)/(-756)). Factor 0*r + 0 + 2/5*r**4 - 2*r**3 + p*r**2.
2*r**2*(r - 3)*(r - 2)/5
Let d = -36 - -51. Suppose -4*t + 5*o + 50 = t, o + d = 2*t. Factor -4*v**2 + t*v**2 + 3*v**2 - 8*v.
4*v*(v - 2)
Let i(g) be the second derivative of 0 + 99*g - 3/7*g**2 + 1/140*g**5 + 11/42*g**3 - 1/14*g**4. Factor i(r).
(r - 3)*(r - 2)*(r - 1)/7
Let m(x) be the third derivative of -x**7/1260 + 16*x**6/45 - 1847*x**5/45 - 4288*x**4/3 - 17956*x**3 + 580*x**2 + 1. What is y in m(y) = 0?
-6, 134
Let v be (9 + -3)/((4 + -6)/4 + 2). Let u(b) be the first derivative of v*b - 1/2*b**4 - 5*b**2 + 8/3*b**3 + 25. Factor u(d).
-2*(d - 2)*(d - 1)**2
Let x = -60 - -79. Suppose 0*t - 2*w + 15 = t, 5*t - 4*w - x = 0. Factor 2*c**2 - 4072 + 0*c + 4107 - t*c**2 + 30*c.
-5*(c - 7)*(c + 1)
Let 663/2*l**2 - 441/2*l + 0 - 891/8*l**3 + 3/8*l**4 = 0. What is l?
0, 1, 2, 294
Let u be -3*((-280)/(-12))/(-5) - 3. Suppose 0 = -a + 3*x - 4, -4*a + 3*x = -u. Factor -18*i - a*i**2 - 15 - 2*i - 5*i + 0*i**2 + 5*i**3.
5*(i - 3)*(i + 1)**2
Let d(s) be the third derivative of 4/9*s**3 - 37*s + 2*s**2 + 1/15*s**5 - 5/18*s**4 + 0. Determine t so that d(t) = 0.
2/3, 1
Factor 2/3*w**2 - 334/3*w - 112.
2*(w - 168)*(w + 1)/3
Suppose -93879*k**3 - 408*k - 312*k - 619 - 29 + 93877*k**3 - 74*k**2 = 0. Calculate k.
-18, -1
Let z be 12/(-2268)*-981 + -1*(7 + -2). Let q(h) be the second derivative of 4/7*h**2 + 1/42*h**4 + 11*h + z*h**3 + 0. Factor q(k).
2*(k + 2)**2/7
Find o, given that 2280*o + 2867840 + 290*o**2 - 5*o**3 + 202*o**2 - 2867840 + 253*o**2 = 0.
-3, 0, 152
Let p(h) be the first derivative of h**5/5 + 17*h**4/4 - 19*h**3/3 - 17*h**2/2 + 18*h + 870. Let p(f) = 0. Calculate f.
-18, -1, 1
Factor -17*b**2 + 2*b**3 - 36*b + 2172 - 1992 - 3*b**2 + 2*b**3.
4*(b - 5)*(b - 3)*(b + 3)
Let p be ((-3856)/360 - (-62)/1395)*(-4)/8. Let w be (-1 - 2/(-4))*-4. Let -t**5 + 0 - 4/3*t - 23/3*t**3 - 14/3*t**4 - p*t**w = 0. Calculate t.
-2, -1, -2/3, 0
Let c be (-329)/(-188) - (-4557)/156. Let h = -396/13 + c. Factor 0*x**3 + 0 - h*x**5 + 0*x**2 + 0*x + x**4.
-x**4*(x - 2)/2
Suppose -6*f = 205 - 235. Let j be (6/(-45))/(f/(-50)). Determine q so that -95*q**2 - j - 64/3*q - 75*q**3 = 0.
-1, -2/15
Let n(z) = -2*z**2 + 2*z + 2. Let l(u) = 7*u + 37*u**2 + 28*u**2 - 44*u - 58*u - 30. Let w(y) = l(y) + 30*n(y). Solve w(m) = 0 for m.
1, 6
Let x(j) be the third derivative of 89*j**2 - 2/21*j**7 + 0 - 5/224*j**8 - 1/12*j**5 + 0*j**3 - 7/48*j**6 + 0*j**4 + 0*j. Let x(l) = 0. Calculate l.
-1, -2/3, 0
Suppose -406*a = 71*a + 25*a - 42*a. Factor 0*k + a - k**4 + 1/4*k**5 - 1/2*k**2 + 5/4*k**3.
k**2*(k - 2)*(k - 1)**2/4
Suppose 2*c - 4 = -z + 3, 4*z = -4*c + 12. Determine x so that -20*x**c + 72*x + 39*x**2 - 117*x**2 + x**5 + x**5 - 42*x**2 + 74*x**3 = 0.
0, 2, 3
Let 15/2*w + 1/2*w**2 - 27 = 0. Calculate w.
-18, 3
Suppose -3*z - 6 = 0, 11*q - 10*q + 326 = z. Let p be ((-3)/4)/(123/q). Let -5*m - 5*m**p - 5/3 - 5/3*m**3 = 0. Calculate m.
-1
Suppose 3*k - 22 = -7*u, 0*u + 4*k - 20 = -0*u. Factor 3/4*b**3 - u - b + 5/4*b**2.
(b - 1)*(b + 2)*(3*b + 2)/4
Suppose 0 + 0*z + 2/13*z**2 + 60/13*z**3 - 2/13*z**4 - 60/13*z**5 = 0. What is z?
-1, -1/30, 0, 1
Let y(u) be the third derivative of -u**8/6720 + u**7/630 - u**6/240 + 5*u**4/24 + 2*u**3/3 - 51*u**2. Let s(g) be the second derivative of y(g). Factor s(d).
-d*(d - 3)*(d - 1)
Suppose 0 = -9*x + 45, -12*q - 21 = -13*q + 3*x. Let j(w) be the second derivative of -1/6*w**4 - 19*w - q*w**2 + 4*w**3 + 0. Solve j(h) = 0 for h.
6
Let c = 860611 + -859571. Factor -6656*v - 100/3*v**4 + c*v**3 - 23056/3*v**2 - 4096/3.
-4*(v - 16)**2*(5*v + 2)**2/3
Let b(y) be the third derivative of -3*y**7/980 + y**6/840 + y**5/280 - 5*y**3/2 + 55*y**2. Let k(v) be the first derivative of b(v). Find s such that k(s) = 0.
-1/3, 0, 1/2
Let a(t) be the first derivative of -2*t**2 - 3*t**4 + 0*t - 4*t**3 - 4/5*t**5 + 27. Suppose a(i) = 0. Calculate i.
-1, 0
Let l be (0/4 + -92)/(4 + -6). Suppose -12*f + l = 11*f. Factor -8/17*b + 10/17 - 2/17*b**f.
-2*(b - 1)*(b + 5)/17
Let y(r) be the third derivative of 1/10*r**6 + 2/105*r**7 + 0*r**4 + 2/15*r**5 + 0*r + 70*r**2 + 0*r**3 + 0. Suppose y(a) = 0. Calculate a.
-2, -1, 0
Factor 35912 + 1/2*m**3 - 132*m**2 + 8442*m.
(m - 134)**2*(m + 4)/2
Let l(f) be the third derivative of -f**5/180 - 79*f**4/8 + 713*f**3/9 + 3892*f**2. What is i in l(i) = 0?
-713, 2
Let t = -378 - -383. Let 36*b**3 - t*b**4 + 225 + b**4 + 108*b - 265 - 100*b**2 = 0. What is b?
1, 2, 5
Let -214/3*w**2 - 104/3*w + 2/3 - 36*w**3 = 0. Calculate w.
-1, 1/54
Let x = 876 + -549. Let z = x - 325. Factor 8/5*k + 0*k**z + 2/5*k**4 - 6/5*k**3 + 0.
2*k*(k - 2)**2*(k + 1)/5
Suppose -70 = 2*x + 5*l, -389*l + 384*l + 170 = -4*x. Let i be (144/x)/6 + 1. Suppose -i*g**4 + 0 + 2/5*g**3 - 8/5*g + 8/5*g**2 = 0. What is g?
-2, 0, 1, 2
Let m(p) be the second derivative of -p**4/66 + 76*p**3/33 - 219*p**2/11 + 973*p. Factor m(j).
-2*(j - 73)*(j - 3)/11
Factor 16*t - 8 + 3/4*t**3 - 13/2*t**2.
(t - 4)**2*(3*t - 2)/4
Let z = 352129/494 + 170/247. Let u = 718 - z. Solve 0*d + u*d**4 + 0*d**2 + 15/2*d**5 - 3*d**3 + 0 = 0.
-1, 0, 2/5
Let l(d) = 7921*d**2 + 1246*d + 3. Let r(y) = 47526*y**2 + 7476*y - 5. Let z(x) = 39*l(x) - 6*r(x). Solve z(k) = 0.
-7/89
Suppose -4*o = 4, 202*o - 200*o + 2 = 2*g. Let m(p) be the second derivative of 38*p - 1/14*p**3 + 0*p**2 + g + 1/28*p**4. Factor m(n).
3*n*(n - 1)/7
Let t = -202 - -282. Factor 6*h - 50*h**2 + 165*h**3 - h - 255*h**4 + t*h**5 + 55*h**4.
5*h*(h - 1)**2*(4*h - 1)**2
Let k = -26 - -55. What is v in 16*v**2 - 31*v**5 + 0 + k*v**5 + 0 + 8*v - 4*v**4 + 6*v**3 = 0?
-2, -1, 0, 2
Let v(c) be the first derivative of 81 - 7/