)/3
Let j(f) = -18*f**2 - 55*f - 18. Let k(b) = -63*b**2 - 192*b - 63. Let q be 5/(35/6)*21. Let u(t) = q*j(t) - 5*k(t). Let u(z) = 0. What is z?
-3, -1/3
Let n(u) = 2*u**4 - 7*u**3 - 18*u**2 - 15*u + 3. Let v(l) = 3*l**4 - 14*l**3 - 35*l**2 - 28*l + 5. Let p(f) = -5*n(f) + 3*v(f). Factor p(q).
-q*(q + 1)*(q + 3)**2
Let a = 7/59 + 31/236. Let 0 - 1/4*k**2 - 1/4*k + 1/4*k**4 + a*k**3 = 0. What is k?
-1, 0, 1
Let x(u) = u**3 + 16*u**2 - 17*u + 3. Let d be x(-17). Suppose 0 = -5*g - 0*g + 10. Let -6*b + 5*b**g - 6*b - d*b + 10*b = 0. What is b?
0, 1
What is k in 13*k**2 + 22*k**5 - 19*k**2 - 10*k**3 - 20*k**5 - 2*k**4 = 0?
-1, 0, 3
Suppose -2*p + 0*c = -c - 9, 4*p - c = 13. Factor 2 - 16*h + p*h**2 - 2*h**3 - 2*h**2 - 10*h**2 - 10.
-2*(h + 1)*(h + 2)**2
Let p be (-1 + 2)/((-1911)/(-1981)). Let i = p + -7/39. Suppose -2/7 + i*m**4 - 4/7*m**2 + 2/7*m**5 - 6/7*m + 4/7*m**3 = 0. Calculate m.
-1, 1
Let b be 1434/21 + -1 - (-7 - -3). Let a = b + -71. Factor -4/7*f - a - 2/7*f**2.
-2*(f + 1)**2/7
Let y(l) be the third derivative of l**7/735 - l**6/210 - l**5/10 - 3*l**4/14 + 349*l**2. Suppose y(v) = 0. Calculate v.
-3, -1, 0, 6
Suppose 226/11*s**2 - 4/11 - 146/11*s - 76/11*s**3 = 0. Calculate s.
-1/38, 1, 2
Let v(a) be the first derivative of 3/2*a**2 - 3/4*a**4 - 7 - 3*a + 3/20*a**5 + 3/4*a**3. Suppose v(u) = 0. Calculate u.
-1, 1, 2
Let i be 0*(13/(-39))/((-4)/6). Let l(c) be the third derivative of i*c**3 + 0*c + 1/165*c**5 - c**2 + 0 - 1/660*c**6 + 1/44*c**4. Factor l(w).
-2*w*(w - 3)*(w + 1)/11
Let -66/5*l**4 - 54/5*l**3 - 3*l**5 + 69/5*l + 18/5 + 48/5*l**2 = 0. What is l?
-3, -1, -2/5, 1
Let w = 439/1561 + 1/223. Determine c so that -4/7 + 2*c - 18/7*c**2 - w*c**4 + 10/7*c**3 = 0.
1, 2
Let m(t) be the first derivative of t**3/7 - 87*t**2/14 + 12*t - 620. Factor m(g).
3*(g - 28)*(g - 1)/7
Let t be (18/(-27))/(1/18). Let z = -9 - t. Factor z*a**5 - 3*a**3 - 60*a + 60*a.
3*a**3*(a - 1)*(a + 1)
Let 17 + 12*t**2 + 57*t + 4*t**2 + 2*t**2 + 13 - 11*t + 2*t**3 = 0. Calculate t.
-5, -3, -1
Let d be (-1)/(29/(-7) - -4) + 3. Let v be (-4)/d + (-52)/(-80). Solve v*c**4 + 1/4*c**3 + 0 + 0*c**2 + 0*c = 0 for c.
-1, 0
Let x(k) be the second derivative of -k**7/315 + k**6/90 - k**5/90 - k**2 - 29*k. Let r(l) be the first derivative of x(l). What is v in r(v) = 0?
0, 1
Suppose 2*s + 5*q + 22 - 53 = 0, 5*s - 5*q = -10. Suppose -4*u - 4 = s*j, 2*j - 7*j - 20 = 0. Factor x + x + 3 + 0*x + 0 - x**u.
-(x - 3)*(x + 1)
Suppose 5*g = 4*z - 12, -2*g - g + 5*z = 15. Let t(b) be the third derivative of -1/40*b**6 - 5*b**2 + g*b + 0*b**3 - 1/30*b**5 + 0 + 0*b**4. Solve t(l) = 0.
-2/3, 0
Let -29/6*c**3 + 64/3 + 1/6*c**4 - 16*c**2 - 2/3*c = 0. What is c?
-2, 1, 32
Let h(x) be the first derivative of x**3/12 + 31*x**2/8 + 15*x/2 + 550. Factor h(s).
(s + 1)*(s + 30)/4
Let y be 0 + (-2)/(-4) - 0. Let v be (1/(-5))/(70/(-25) - -2). Factor 1/4*q**3 + 0 + y*q**2 + v*q.
q*(q + 1)**2/4
Let p(b) be the second derivative of 1849*b**5/12 + 215*b**4/6 + 10*b**3/3 + 28*b**2 - 41*b. Let i(w) be the first derivative of p(w). Factor i(m).
5*(43*m + 2)**2
Let k = 2489/3 + -860. Let u = k + 31. Factor 5/6*a - u*a**2 - 1/3 + 1/6*a**3.
(a - 2)*(a - 1)**2/6
Suppose 0 = u - 5 + 1. Let m be (48/64)/(1/u). Factor 13 - 1 + 4*j - j - m*j**2 + 6*j.
-3*(j - 4)*(j + 1)
Let p(y) = 9*y**3 - 702*y**2 + 1311*y - 640. Let j(w) = 2*w**3 - 140*w**2 + 262*w - 128. Let k(m) = -11*j(m) + 2*p(m). Factor k(h).
-4*(h - 32)*(h - 1)**2
Find l, given that -2*l**5 + 20*l**2 - 605*l + 2*l**4 - 600*l + 6*l**3 - 10*l**4 + 1189*l = 0.
-4, -2, 0, 1
Factor -4/9*w**3 + 40/9 + 52/9*w + 8/9*w**2.
-4*(w - 5)*(w + 1)*(w + 2)/9
Let h(y) be the first derivative of -3*y**4/4 + 16*y**3 - 231*y**2/2 + 294*y + 61. Factor h(k).
-3*(k - 7)**2*(k - 2)
Let n(u) be the first derivative of u**2/2 - 7*u - 11. Let s be n(9). Factor -12*j**2 + 12 - j + s*j + 8*j**3 - 5*j - 4*j.
4*(j - 1)*(j + 1)*(2*j - 3)
Let n(t) = -4*t**2 + 96*t + 4. Let s(a) = 2*a**2 - 98*a - 3. Let c(v) = 3*n(v) + 4*s(v). Suppose c(y) = 0. What is y?
-26, 0
Let k(u) = -u**3 - 6*u**2 - 4*u - 22. Let y(o) = -o**3 + o. Let d be y(2). Let j be k(d). Factor 0 + 0*t**4 - 4/3*t**3 + 0*t**j + 2/3*t**5 + 2/3*t.
2*t*(t - 1)**2*(t + 1)**2/3
Let z = -962/63 - -110/7. Factor -8/9*i**4 + 8/9*i**2 + 0*i**3 - z*i + 0 + 4/9*i**5.
4*i*(i - 1)**3*(i + 1)/9
Let h(k) be the first derivative of -2/5*k**2 + 2/5*k + 0*k**3 - 7 - 2/25*k**5 + 1/5*k**4. Factor h(m).
-2*(m - 1)**3*(m + 1)/5
Let u = 119 + 11. Let x be (-17)/(-20) - 13/u. Determine g, given that -1/4*g**5 - x*g**3 + 0 + 1/4*g**2 + 3/4*g**4 + 0*g = 0.
0, 1
Suppose g = 2*m + 11, 0*m - 8 = -g + m. Let 5*d**g - 55*d**2 - 7*d - 45*d**3 - 12*d - d - 9*d**4 + 4*d**4 = 0. What is d?
-1, 0, 4
Suppose -4 = -r - 0. Factor 48*i**3 - 44*i**3 - 3*i + 3*i - r*i**4.
-4*i**3*(i - 1)
Let p be 24/(-15) - (-8)/(-20). Let u be (-36)/2*p/3. Factor -3 + 2*o**3 - o**3 + 2 + u*o + 6*o**2 + 9.
(o + 2)**3
Let u = -569 + 574. Let j(n) be the first derivative of 0*n**2 + 0*n + 1 - 3/8*n**4 + 3/10*n**u - 1/2*n**3 + 1/4*n**6. Let j(v) = 0. What is v?
-1, 0, 1
Suppose -137*d = -132*d - 70. Let j = -11 + d. Factor 0*t + 0*t**j - 1/3*t**4 + 1/3*t**2 + 0.
-t**2*(t - 1)*(t + 1)/3
Suppose -2*l + 123 - 31 = -5*z, 0 = -2*z - 2*l - 48. Let d be (9/(-10))/(24/z). Let 1/4*o**2 - d*o + 1/2 = 0. What is o?
1, 2
Find m, given that -882/11 - 2396/11*m**2 - 2/11*m**5 - 2562/11*m + 78/11*m**4 - 636/11*m**3 = 0.
-1, 21
Find q such that 1/6*q**2 - 17/6 - 8/3*q = 0.
-1, 17
Let g = 3000 + -3000. Let 0*x - 2/7*x**3 + 0*x**2 + g = 0. What is x?
0
Let u = -554 - -2121/4. Let b = 24 + u. Find t such that 1/2 + b*t**2 - 3/4*t = 0.
1, 2
Let b(p) be the second derivative of 23/30*p**6 + 1 - 27/20*p**5 + 13/12*p**4 - 1/6*p**7 - 1/3*p**3 - 3*p + 0*p**2. Find m such that b(m) = 0.
0, 2/7, 1
Let z = 29626 + -29624. Let 2/9*t**z - 2/9*t + 0 = 0. Calculate t.
0, 1
Determine a, given that 27/2*a + 81/2*a**2 + 0 + 15/2*a**4 + 69/2*a**3 = 0.
-3, -1, -3/5, 0
Let n(k) be the first derivative of 0*k**2 + 0*k + 22 - 1/20*k**5 - 1/8*k**4 + 0*k**3. Solve n(i) = 0.
-2, 0
Let v(s) be the second derivative of 13*s**7/21 - 58*s**6/45 - 83*s**5/30 + 11*s**4/3 + 44*s**3/9 - 8*s**2/3 + 38*s. Suppose v(o) = 0. What is o?
-1, -2/3, 2/13, 1, 2
Factor -1196 - 10*m**2 + 3*m**3 + 599 + 9*m + 595.
(m - 2)*(m - 1)*(3*m - 1)
Let p(q) = q**2 + 122*q - 1079. Let j(n) = 2*n**2 + 124*n - 1078. Let g(h) = -4*j(h) + 5*p(h). Let g(m) = 0. What is m?
19
Factor -8 + z**2 + 34/3*z - 4*z**3 - 1/3*z**4.
-(z - 1)**2*(z + 2)*(z + 12)/3
Let l = 8694 - 182566/21. Let 0 - 2/21*n**2 - l*n = 0. What is n?
-4, 0
Let d(h) be the first derivative of -4/5*h**5 - 80/3*h**3 + 0*h - 8*h**4 - 15 - 32*h**2. Find c, given that d(c) = 0.
-4, -2, 0
Let h = 4139/35 + -577/5. Find z, given that -h*z**3 + 20/7*z + 12/7*z**2 + 4/7 - 16/7*z**4 = 0.
-1, -1/4, 1
Let u(a) be the second derivative of 3*a**5/160 - 11*a**4/32 + 3*a**3/2 + 27*a**2/4 + 36*a. Factor u(c).
3*(c - 6)**2*(c + 1)/8
Let q(r) be the third derivative of -r**8/4480 - r**7/336 - 7*r**4/8 + 13*r**2. Let z(m) be the second derivative of q(m). Factor z(i).
-3*i**2*(i + 5)/2
Let u(g) be the third derivative of -g**6/60 - 3*g**5 - 225*g**4 - 9000*g**3 + 2*g**2 + g. Let u(k) = 0. Calculate k.
-30
Find c, given that 3*c**5 + 294310*c + 137144 + 3342*c**3 + 243*c**4 + 1438*c**3 + 2660*c**3 + 342856 + 103200*c**2 + 281690*c = 0.
-20, -1
Suppose -p = 4*b, 0*b + b - 21 = -2*p. Let z = p + -8. Solve 4*x**4 - x**3 - 2*x**4 + 0*x**z = 0.
0, 1/2
Let n be ((-4)/(-14))/(((-756)/(-98))/18). Suppose n*k**2 + 2/3*k**3 + 0 + 0*k = 0. Calculate k.
-1, 0
Let t(y) = 80*y**3 + 35*y**2. Let w(n) = -13*n**3 - 6*n**2. Let u(s) = 4*t(s) + 25*w(s). Factor u(v).
-5*v**2*(v + 2)
Let y(z) = -4*z**2 - 12*z + 22. Let a(t) = -t**2 + 2. Let c(i) = 6*a(i) - y(i). Factor c(m).
-2*(m - 5)*(m - 1)
Let y = -99 + 111. Let o = y + -9. Factor 0*g + 0 + 2*g**o - 1/2*g**4 - 2*g**2.
-g**2*(g - 2)**2/2
Let h be (-2)/6 - 244/(-12). Suppose h = u + 4*u. Determine j, given that 25*j**2 + 41 + 3*j**3 - 14 - u*j**2 + 45*j = 0.
-3, -1
Let n(o) be the third derivative of -o**7/420 - o**6/12 - 13*o**5/30 + 10*o**4 - 48*o**3 - 2*o**2 - 16*o. Factor n(y).
-(y - 2)**2*(y + 12)**2/2
Let x(n) be the second derivative of 0 - 1/4*n**4 - 1/42*n**7 + 1/3*n**