1)*(u + 3)/7
Let j(b) = -8*b**2 - 18*b - 10. Let f(q) = 15*q**2 + 35*q + 20. Let p = -105 + 102. Let y(l) = p*f(l) - 5*j(l). Factor y(x).
-5*(x + 1)*(x + 2)
Let n be 2/13 + (-1084)/(-52). Suppose 2*a = -5*p - n, -3*a + 8*a = 5*p + 35. What is z in 4*z + 4 - 2*z**2 - 2*z**3 - 2 - a = 0?
-2, 0, 1
Let o(j) = 2*j**2 + 3*j. Let q(m) = -9*m**2 - 13*m. Suppose 0 = -0*z - 3*z - 3*n - 18, -5*n + 6 = -z. Let s(a) = z*q(a) - 26*o(a). Solve s(b) = 0.
0
Let o(y) be the first derivative of -12 - 5*y**3 - 9 - 6*y**2 - 20 + y**5 + y**2. Determine s so that o(s) = 0.
-1, 0, 2
Let w(h) be the second derivative of 3*h**6/40 - h**5/3 + 13*h**4/24 - h**3/3 - 11*h**2/2 - h. Let i(z) be the first derivative of w(z). Factor i(s).
(s - 1)**2*(9*s - 2)
Suppose -z - 5*f = 5, 0 = -5*z - 0*f + 5*f + 95. Find v, given that -z*v**4 - 121*v - 21*v**2 - v**5 + 4*v**5 + 27*v**3 + 127*v = 0.
0, 1, 2
Suppose 4*m + 3*v = 8, 0*v = -v + 4. Let s be 8 - 11 - (-2 - -10)/m. Find a, given that -4/3*a**2 - 2*a**3 + a**s + 2/3*a**4 + 2/3 + a = 0.
-1, -2/3, 1
Let u(d) be the first derivative of -d**3/6 + 33*d**2/4 + 35*d - 255. Factor u(j).
-(j - 35)*(j + 2)/2
Let p(j) = -4*j**2 + 24*j + 44. Let u(q) = q**2 - 2*q + 1. Let s(c) = -2*p(c) - 10*u(c). Solve s(r) = 0 for r.
-7
Let i be (4134/572)/((-1)/(-4)*-7). Let p = i - -58/11. Find z such that 2/7*z**2 + p + 8/7*z = 0.
-2
Let s(m) be the second derivative of m**6/90 + 2*m**5/15 + 5*m**4/9 + 8*m**3/9 + m - 3. Factor s(f).
f*(f + 2)**2*(f + 4)/3
Suppose 3*j - 5*g + 11 = 0, 3*j - 17 = -4*g + 2*g. Factor -18*h**4 + 12*h + 6*h**3 + 3*h**3 + 30*h**3 - 47*h**2 + j*h**5 + 11*h**2.
3*h*(h - 2)**2*(h - 1)**2
Factor 4 - 6*b**2 - 84*b - 8*b**2 - 2 - 30*b**2 + 6.
-4*(b + 2)*(11*b - 1)
Let g be (30 + -36)*4/(-12). Factor -3/8*w + 3/8 - 3/8*w**5 + 3/8*w**4 + 3/4*w**3 - 3/4*w**g.
-3*(w - 1)**3*(w + 1)**2/8
Factor -35/4*f - 9/4*f**3 - 1/4*f**4 + 3 + 33/4*f**2.
-(f - 1)**3*(f + 12)/4
Let t = 2225 - 8897/4. Factor -x + 1/4*x**4 + x**3 - 1 + t*x**2.
(x - 1)*(x + 1)*(x + 2)**2/4
Let r(q) be the first derivative of 4*q**5/5 - 12*q**3 - 8*q**2 + 48*q - 17. Factor r(w).
4*(w - 3)*(w - 1)*(w + 2)**2
Let m(o) be the first derivative of -7/15*o**4 - 3/5*o**2 + 32/45*o**3 - 1/45*o**6 + 4/25*o**5 + 4/15*o - 6. Find n such that m(n) = 0.
1, 2
Let x(a) be the second derivative of -a**5/70 - 13*a**4/42 + 11*a**3/3 + 1089*a**2/7 - 186*a + 4. Suppose x(l) = 0. Calculate l.
-11, 9
Let o(a) be the third derivative of 0*a**3 + 0*a + 0*a**5 + 0*a**4 - 1/600*a**6 + 4*a**2 + 0. Factor o(m).
-m**3/5
Solve -1373*z**2 - 128*z + 2744*z**2 - 1367*z**2 + 124 = 0.
1, 31
Let y(g) be the first derivative of 0*g + 16 - g**2 + 7/2*g**4 - 4/3*g**3 - 8/5*g**5. Factor y(v).
-2*v*(v - 1)**2*(4*v + 1)
Solve 192*f**3 + 512/15*f**4 + 6 + 1426/15*f**2 - 284/5*f = 0.
-5, -1, 3/16
Let c = 29941 - 29938. What is r in -82/21*r - 14/3*r**c + 8*r**2 + 4/7 = 0?
2/7, 3/7, 1
Let u = 31 - 17. Suppose -3*f = 2 - u. Factor 4*l**2 + 2*l**3 + 2*l**3 + 0*l**2 - 4*l**5 - 2*l**f - 2*l**4.
-4*l**2*(l - 1)*(l + 1)**2
Let w = 2/3459 + 41482/44967. Let -w + 14/13*v**2 - 38/13*v = 0. What is v?
-2/7, 3
Let o(v) be the third derivative of -v**7/168 + v**6/24 - 5*v**4/6 + 17*v**3/6 + 12*v**2. Let n(y) be the first derivative of o(y). Let n(g) = 0. Calculate g.
-1, 2
Let r(w) be the second derivative of -29*w**6/90 - w**5/60 + 29*w**4/36 + w**3/18 - 5*w - 68. Find n such that r(n) = 0.
-1, -1/29, 0, 1
Let s be (0 - -1)/((-7)/8 + 1). Let f be (-1 - -4) + 10/s*-2. Suppose 0 - 1/2*g**2 + f*g = 0. What is g?
0, 1
Let p(q) be the second derivative of -q**5/10 - q**4/2 + 4*q**2 + 78*q. Determine o, given that p(o) = 0.
-2, 1
Let q(t) be the third derivative of -t**7/210 - t**6/15 - t**5/30 + 10*t**4/3 + 25*t**3/2 + 4*t**2. Let q(d) = 0. What is d?
-5, -1, 3
Let d = -113 - -65. Let c = d + 340/7. Determine m so that -2/7*m**2 - c*m + 0 = 0.
-2, 0
Let w be 26/(-65) + (-44)/(-10). Suppose j - u - 3*u - 15 = 0, -3*u = w*j - 3. Factor 2*y + 1 + 0 + 0*y - j*y**2.
-(y - 1)*(3*y + 1)
Let c(l) = -4*l**3 - 14*l**2 - 19*l - 8. Let i be c(-4). Factor -i*u**4 - 48*u**2 + 120*u**3 + 0 + 32/5*u.
-4*u*(5*u - 2)**3/5
Let r(i) be the second derivative of -i**7/12600 + i**6/900 + i**5/120 + 17*i**4/6 - 40*i - 2. Let g(z) be the third derivative of r(z). Factor g(h).
-(h - 5)*(h + 1)/5
Suppose -s + 3*s = 5*y + 622, 4*s = -4*y - 492. Let t = y - -127. Suppose 0 + 6/7*i**4 + 2/7*i + 8/7*i**5 - 6/7*i**2 - 10/7*i**t = 0. Calculate i.
-1, 0, 1/4, 1
Determine h so that 18/7*h - 6/7*h**3 + 0 + 12/7*h**2 = 0.
-1, 0, 3
Let l(g) be the second derivative of -3/20*g**5 + 34*g + 0 + 81/2*g**2 + 9/4*g**4 - 27/2*g**3. Suppose l(t) = 0. Calculate t.
3
Let f(n) be the first derivative of -1/180*n**6 + 0*n + 0*n**2 + 1/12*n**4 + 0*n**5 + 1 - n**3. Let k(q) be the third derivative of f(q). What is y in k(y) = 0?
-1, 1
Let n(m) be the second derivative of -m**7/126 - 2*m**6/45 - m**5/10 - m**4/9 - m**3/18 + 106*m. Factor n(d).
-d*(d + 1)**4/3
Let i(w) be the third derivative of w**5/72 + 35*w**4/48 + 25*w**3/9 + 4*w**2 + 22*w. Factor i(k).
5*(k + 1)*(k + 20)/6
Let a(w) be the first derivative of 1/8*w**4 + 0*w - 5 + 0*w**2 - 1/6*w**3. Factor a(r).
r**2*(r - 1)/2
Let g = 2869 + -2864. Determine u so that -1/3*u**3 + 0 + u**4 - u**2 + 0*u + 1/3*u**g = 0.
-3, -1, 0, 1
Let s(i) = -i**3 - i - 1. Suppose 9*h - 11*h = 4. Let c(v) = 4*v**4 + 2*v**3 - 2*v - 2. Let z(d) = h*s(d) + c(d). Let z(j) = 0. Calculate j.
-1, 0
Let g = 55 - 63. Let j be (-42)/g - (5 + -3). Suppose 7*i**3 + 13/4*i**2 + 1/2 - j*i = 0. Calculate i.
-1, 1/4, 2/7
Let n(a) = 25*a**3 - 22*a**2 - 15*a + 24. Let m(g) = -25*g**3 + 20*g**2 + 15*g - 25. Let x(s) = 4*m(s) + 5*n(s). Solve x(j) = 0 for j.
-4/5, 1
Let z(o) = 3*o**2 - 16*o + 21. Let m be z(10). What is y in 161 - 8*y + 4*y**3 + 4*y**2 - m = 0?
-2, 0, 1
Let b(l) be the third derivative of -l**5/480 + l**4/192 - 27*l**2 - 2. Factor b(f).
-f*(f - 1)/8
Let a(g) be the second derivative of g**7/21 + 8*g**6/15 + 26*g**5/15 + 4*g**4/3 - 19*g**2/2 + 8*g + 3. Let z(i) be the first derivative of a(i). Factor z(y).
2*y*(y + 2)*(y + 4)*(5*y + 2)
Let j(a) be the first derivative of 0*a - 5 - 1/60*a**5 + 0*a**3 - 7/2*a**2 + 1/96*a**4. Let p(f) be the second derivative of j(f). Find s, given that p(s) = 0.
0, 1/4
Let i(g) be the second derivative of g**4/12 + 5*g**3/3 + 21*g**2/2 - 1012*g. Factor i(w).
(w + 3)*(w + 7)
Let i(l) be the first derivative of 3/10*l**5 + 0*l - 3/2*l**2 + 0*l**4 - 6 - 3/2*l**3. Solve i(s) = 0.
-1, 0, 2
Let s(o) be the second derivative of o**6/35 + 18*o**5/35 + 27*o**4/14 - 4*o**3/7 - 108*o**2/7 + 5*o - 5. Factor s(q).
6*(q - 1)*(q + 2)**2*(q + 9)/7
Find k such that 2/7*k - 2/7*k**3 + 8/7 - 8/7*k**2 = 0.
-4, -1, 1
Let h = 12 - 10. Suppose -6*j**3 - 4*j + h*j - 5*j**4 - 6*j**2 + 3*j**4 + 0*j**2 = 0. Calculate j.
-1, 0
Let q(k) be the first derivative of k**6/18 - 2*k**5/3 + 11*k**4/4 - 4*k**3 - 59. Factor q(p).
p**2*(p - 4)*(p - 3)**2/3
Let r(o) = o**2 - 8*o + 4. Let c be r(7). Let t be c - (9/(-7 - -4) - 4). Factor 2*w**3 + 2/9*w**5 + 4/9*w + 14/9*w**2 + 0 + 10/9*w**t.
2*w*(w + 1)**3*(w + 2)/9
Let c(x) be the third derivative of -x**6/60 + 7*x**5/6 - 24*x**4 - 108*x**3 - x**2 - 56*x. Factor c(l).
-2*(l - 18)**2*(l + 1)
Let k be (-9)/((-495)/341) + -6. Let h(r) be the first derivative of 0*r - 1/4*r**2 + 1/12*r**6 - 2 + k*r**5 + 0*r**4 - 1/3*r**3. Factor h(s).
s*(s - 1)*(s + 1)**3/2
Determine s, given that 8*s**2 + 8*s + 4*s + 1031*s**3 - 1035*s**3 = 0.
-1, 0, 3
Solve 1 + 3/4*x - 1/4*x**2 = 0 for x.
-1, 4
Suppose 5*c + 3*x + 2 = -28, -c + 2 = -x. Let a(v) = v**2 - v + 1. Let f(m) = -9*m. Let g(s) = c*a(s) + f(s). Find z, given that g(z) = 0.
-1
Suppose 2*t**3 + 52 + 68*t - 12*t + 26*t + 32*t**2 = 0. What is t?
-13, -2, -1
Let h = -780 + 784. Suppose -4*u**3 - 1/2*u - 11/4*u**2 + 0 - 7/4*u**h = 0. What is u?
-1, -2/7, 0
Let k = -25069 - -25069. What is b in 0*b**3 + 0 + 3/5*b**4 - 3/5*b**5 + k*b + 0*b**2 = 0?
0, 1
Find t, given that -12 + 1835*t**2 - 3730*t**2 + 1832*t**2 - 255*t = 0.
-4, -1/21
Let p be ((-1)/((-18)/(-30)))/((-2)/12). Factor 5*d**5 - p*d**3 + 45*d - 4*d**4 - 40*d**2 - 20*d**2 + 24*d**4.
5*d*(d - 1)**2*(d + 3)**2
Let m(a) be the first derivative of -39 - 2/57*a**3 + 0*a**2 + 0*a - 1/38*a**4. Factor m(p).
-2*p**2*(p + 1)/