 -13 = t - 3*n, 5 = -2*t - 3*n + 2*n. Let c be t/(4/(-3)) - -17. Solve -c*z + 7*z**4 + 54*z**2 + 5*z**4 - 62*z**3 + 2*z + 2 + 12*z**4 = 0.
1/4, 1/3, 1
Suppose 0*j - 3*j = -24. Suppose 3*b = b + j. Factor p**5 + p**b + 0*p**5 - p**2 + 0*p**4 - p**3.
p**2*(p - 1)*(p + 1)**2
Suppose 1/5*v - 1/5*v**2 + 2/5 = 0. What is v?
-1, 2
Suppose 2*u - 16 = 4*a, -4*u + 19 = -2*u - 5*a. Factor 18 + m + 2*m**2 + 0*m**2 + 32*m + 7*m**u.
3*(m + 3)*(3*m + 2)
Factor -17*f - 8 + 26*f**2 - 36*f**3 - 3*f + 94*f**2 - 56*f**2.
-4*(f - 1)**2*(9*f + 2)
Let m = 77 - 75. Let n(c) be the first derivative of 1/6*c**3 + c - 3/4*c**m + 3. Find j, given that n(j) = 0.
1, 2
Suppose 7*v - 9*v = 0. Let s(x) be the second derivative of 1/12*x**3 - 1/40*x**5 + 0*x**2 + v - 3*x + 1/48*x**4 - 1/120*x**6. Solve s(r) = 0 for r.
-2, -1, 0, 1
Factor 12/5*l + 12/5 + 3/5*l**2.
3*(l + 2)**2/5
Let l be (3 + -2 + 1)*(-2)/(-12). Let c be -3 - (-1)/((-3)/(-13)). Solve -4/3*p**2 - c*p - l = 0 for p.
-1/2
Let x(j) be the third derivative of -j**6/240 + j**5/120 + 12*j**2. Factor x(s).
-s**2*(s - 1)/2
Let p(b) be the first derivative of 0*b**3 - 1/120*b**6 + 1 + 0*b - 1/2*b**2 - 1/30*b**5 - 1/24*b**4. Let r(n) be the second derivative of p(n). Factor r(w).
-w*(w + 1)**2
Let j be (-15)/30*(0 - 2 - 6). Let w(z) be the second derivative of 1/20*z**j + 2*z + 0 + 1/10*z**3 + 0*z**2. Factor w(o).
3*o*(o + 1)/5
Factor -2/3*h - 2/3*h**2 + 4/3.
-2*(h - 1)*(h + 2)/3
Determine s so that -16/5 + 16/5*s**2 + 12*s = 0.
-4, 1/4
Factor -2/7*f**2 - 4/7*f - 2/7.
-2*(f + 1)**2/7
Let w(c) be the second derivative of -c**5/12 - 5*c**4/18 + c. What is l in w(l) = 0?
-2, 0
Let t(z) = -z**3 + 7*z**2 - 4. Let a be t(7). Let f(h) = -h - 2. Let k be f(a). Find m, given that 0*m - 2/5*m**k + 0 = 0.
0
Let j(p) = -9*p**3 - 25*p**2 - 44*p - 16. Let r(i) = 26*i**3 + 75*i**2 + 131*i + 49. Let c(t) = 11*j(t) + 4*r(t). What is w in c(w) = 0?
-2, -1
Let y(j) be the third derivative of j**8/1344 - j**7/210 + j**6/80 - j**5/60 + j**4/96 - 4*j**2. Factor y(z).
z*(z - 1)**4/4
Let t(i) be the second derivative of -1/6*i**3 - i + 0*i**2 + 0 - 1/12*i**4. Factor t(z).
-z*(z + 1)
Let a(h) be the third derivative of -1/90*h**5 + 0*h - 2/27*h**3 - h**2 + 0 - 7/108*h**4. Determine q so that a(q) = 0.
-2, -1/3
Suppose 42 = 5*j + z - 5*z, 0 = 3*j - 5*z - 33. Factor 2 - j*f**3 + 0*f**3 + 10*f**4 + f + 2 - 14*f**2 + 5*f.
2*(f - 1)**2*(f + 1)*(5*f + 2)
Let o(p) = 13*p**2 + 75*p - 16. Let h(x) = x**2 + x. Let g(s) = 18*h(s) + 2*o(s). Factor g(u).
4*(u + 4)*(11*u - 2)
Let y(j) be the first derivative of -j**6/1260 + j**5/210 - 7*j**3/3 - 5. Let x(a) be the third derivative of y(a). Find v such that x(v) = 0.
0, 2
Let g(c) = -11*c**3 + c**2 - c - 1. Let v be g(-1). Suppose 11*a - 8*a - v = 0. Factor 0*h + 4/3*h**5 - 1/3*h**3 + 0*h**2 - h**a + 0.
h**3*(h - 1)*(4*h + 1)/3
Let z(t) be the third derivative of -t**6/585 - t**5/195 - t**4/156 + 5*t**3/6 - 7*t**2. Let g(s) be the first derivative of z(s). Factor g(h).
-2*(2*h + 1)**2/13
Let w(d) = -d - d**3 + 3*d**3 - 3*d**3 + d**2. Let n be w(0). Factor -4/7*r - 2/7*r**2 + n.
-2*r*(r + 2)/7
Let i(x) = -x**3 + 5*x**2 - 3*x + 1. Let f(p) = -p**3 - p**2 + p - 1. Let s(c) = -2*f(c) - 2*i(c). Factor s(m).
4*m*(m - 1)**2
Let f(s) = 24*s**3 + s. Let k be f(1). Suppose k = 6*m - m. Find t, given that m*t**4 - 4*t**4 + 0*t**4 = 0.
0
Let g(h) be the third derivative of -h**7/315 + h**6/72 - h**5/45 + h**4/72 - h**2. Factor g(s).
-s*(s - 1)**2*(2*s - 1)/3
Let t(h) be the first derivative of -h**6/10 - 4*h**5/25 + h**4/4 + 2*h**3/15 + 7. Solve t(x) = 0.
-2, -1/3, 0, 1
Factor 3/2 + 45/4*q**2 + 39/4*q.
3*(3*q + 2)*(5*q + 1)/4
Let y(b) be the second derivative of -b**5/30 + b**3/9 + b. Let y(d) = 0. Calculate d.
-1, 0, 1
Let k(i) be the third derivative of i**5/36 + 5*i**4/18 + 5*i**3/6 - 2*i**2. What is o in k(o) = 0?
-3, -1
Find o, given that 10/3*o**2 - 4/3*o**4 - 4/3*o + 1/3*o**3 + 1/3*o**5 - 8/3 = 0.
-1, 2
Let a be ((-3)/(-10))/((-2)/(-10244)). Let t = a - 1531. Factor -21/5*p**3 + 4/5 - t*p + 11*p**2.
-(p - 2)*(3*p - 1)*(7*p - 2)/5
Let v(g) = -g**2. Let n(a) = a**3 - 3*a. Let o(y) = 5*n(y) - 10*v(y). Factor o(p).
5*p*(p - 1)*(p + 3)
Let w = 139 - 139. Let -1/3*t**3 + 1/3*t**4 + 0*t**2 + w*t + 0 = 0. What is t?
0, 1
Let a(p) be the first derivative of 4*p**5/5 + 2*p**4 + 4*p**3/3 - 5. Determine o so that a(o) = 0.
-1, 0
Factor -5*h**3 + 3*h**2 + 0*h**4 - h**4 - 8*h**3 + 12*h**3 - 2 + h.
-(h - 1)**2*(h + 1)*(h + 2)
Suppose 2*t - 34 + 0 = -4*m, 4*m = 4*t + 4. Factor -m - 2/3*y**2 - 4*y.
-2*(y + 3)**2/3
Let q(t) be the third derivative of -t**5/10 + 4*t**2. Let s(x) = -x**3 + 13*x**2 - x. Let j(m) = 10*q(m) + 4*s(m). Factor j(f).
-4*f*(f + 1)**2
Determine q so that -q**4 - 5*q**2 - q**2 + 4 + 2*q**4 + 2*q - 2*q**3 + q**4 = 0.
-1, 1, 2
Let d be (-1 + 0)/((-136)/170). Solve r**3 - 1/4 + d*r - 2*r**2 = 0.
1/2, 1
Let q(g) = -g**2 - 7*g - 3. Let l be q(-5). Let r = l - 2. Determine y so that 4*y**3 + 0*y**3 - 4*y**4 + 2*y**2 + r*y**4 + y**4 = 0.
-1, 0
Let d = 52 + -52. Let c(o) be the third derivative of 3*o**2 + 1/84*o**4 - 2/21*o**3 - 1/140*o**6 + d + 0*o + 2/105*o**5. Factor c(j).
-2*(j - 1)**2*(3*j + 2)/7
Let b(m) be the third derivative of -m**5/12 - m**4/72 + m**3/9 + 12*m**2. Factor b(q).
-(3*q - 1)*(5*q + 2)/3
Let a be (-30)/(-20) + (-3)/(-2). Find c, given that 75*c**4 - 32*c - 14*c**2 - 19*c**2 + 90*c**a + 12 - 4*c = 0.
-1, 2/5
Let p(f) = 7*f - 40. Let q be p(6). What is v in -2/3*v + 4/3 - 44/3*v**q + 14*v**3 = 0?
-2/7, 1/3, 1
Let o(y) be the first derivative of -3*y**6/5 + 6*y**5/25 + 7*y**4/5 - 4*y**3/15 - y**2 - 2*y/5 + 16. What is p in o(p) = 0?
-1, -1/3, 1
Suppose -14 + 4 = -5*w. Let j(l) be the second derivative of 1/60*l**6 - 1/12*l**3 + 1/40*l**5 + 0 + 0*l**w - 1/24*l**4 + l. Find p such that j(p) = 0.
-1, 0, 1
Suppose -3*m + 8 = m. Let i(z) be the second derivative of 1/100*z**5 + 0 + 1/10*z**m + 1/20*z**4 + 3*z + 1/10*z**3. Factor i(q).
(q + 1)**3/5
Let n(w) be the second derivative of 3*w**4/4 + w**3 + 5*w + 1. Let n(p) = 0. Calculate p.
-2/3, 0
Let h(a) be the first derivative of 4*a**5/15 - a**4/3 - 4*a**3/3 + 10*a**2/3 - 8*a/3 - 1. Let h(i) = 0. What is i?
-2, 1
Let d(g) be the first derivative of -1/4*g**4 + 2*g - 4 - 2/3*g**3 + 1/2*g**2. Let d(p) = 0. What is p?
-2, -1, 1
Let 6*i**5 - 8*i**4 - 24*i - 46/3*i**3 + 36*i**2 + 16/3 = 0. Calculate i.
-2, 2/3, 1
Determine j so that 20/9*j**2 + 52/9*j - 8/3 = 0.
-3, 2/5
Factor 8/11*u - 2/11*u**2 - 8/11.
-2*(u - 2)**2/11
Suppose 252 - 244 + 2*i + 4*i - 2*i**2 = 0. Calculate i.
-1, 4
Let u(i) be the second derivative of i**6/720 - i**4/48 + i**3/2 + i. Let n(o) be the second derivative of u(o). Find a such that n(a) = 0.
-1, 1
Determine t, given that 2/5*t**4 + 4/5*t + 0*t**2 - 4/5*t**3 - 2/5 = 0.
-1, 1
Let j(p) = -2*p**2 + 2*p + 6. Let l = 12 - 8. Suppose l*n = -n + 30. Let x(g) = 6*g**2 - 6*g - 17. Let m(f) = n*x(f) + 17*j(f). Solve m(k) = 0 for k.
0, 1
Let n(t) be the second derivative of -t**6/6 + 7*t**5/4 - 65*t**4/12 - 5*t**3/2 + 45*t**2 - 11*t. Factor n(y).
-5*(y - 3)**2*(y - 2)*(y + 1)
Let p(c) be the third derivative of -c**8/168 + c**6/15 - c**5/15 - c**4/4 + 2*c**3/3 - 14*c**2. Factor p(s).
-2*(s - 1)**3*(s + 1)*(s + 2)
Let o be (1/3)/(4/72). Solve 1 - 9 + o - 2*k**2 + 0*k**2 - 4*k = 0.
-1
Let b(i) be the second derivative of i**5/150 - i**4/30 + i**3/15 - i**2/15 - 48*i. Factor b(p).
2*(p - 1)**3/15
Let v = 39 - 39. Let a(h) be the second derivative of 1/24*h**3 + 1/48*h**4 + h - 1/4*h**2 + v. Factor a(k).
(k - 1)*(k + 2)/4
Find a, given that -2/5*a**2 - 4/5*a - 2/5 = 0.
-1
Let k(p) = 59*p**3 + 119*p**2 + 61*p + 1. Let f(w) = -29*w**3 - 59*w**2 - 31*w - 1. Let d(o) = -9*f(o) - 4*k(o). Factor d(y).
5*(y + 1)**2*(5*y + 1)
Let g(r) = 17*r**3 + 38*r**2 + 27*r + 4. Let k(d) = -52*d**3 - 115*d**2 - 81*d - 11. Let y(i) = -7*g(i) - 2*k(i). Suppose y(h) = 0. Calculate h.
-1, -2/5
Suppose -4 = -u - 2. Suppose -i + u*i = 2. Find m such that -m**3 - m**3 - 2*m**3 + 2*m**3 - i*m**2 = 0.
-1, 0
Let s be 10 + -8 - (0 - 1). Let h = -76 + 155/2. Factor -3/2*l**s + 0*l + h*l**2 + 0.
-3*l**2*(l - 1)/2
Let r(a) = -a**4 - a**3 - a - 1. Let x(z) = -8*z**4 - 6*z**3 - 6*z - 6. Let o(u) = -6*r(u) + x(u). Solve o(m) = 0.
0
Factor 4*p**4 - 8*p**2 + 8*p**3 - 4*p**3 + 0*p*