 g + 1 = 0, 4*x - 4*g - 14 = 7*x. Solve 12*q**2 + 10*q + x - 12*q**4 + 8*q**3 + 14*q**4 - q - q = 0.
-1
Let d = -96 + 134. Let f be d/133 - (-2)/(-7). Solve 2/7*z**3 + f + 0*z**2 - 2/7*z = 0.
-1, 0, 1
Let a = -33899/300 - -113. Let m(p) be the third derivative of 0*p**4 + a*p**5 + 0*p - 2/15*p**3 - p**2 + 0. Determine k, given that m(k) = 0.
-2, 2
Let z(c) be the second derivative of 2/21*c**3 + 0*c**2 - 1/14*c**4 + 0 - 1/14*c**5 + 17*c. Factor z(i).
-2*i*(i + 1)*(5*i - 2)/7
Let z = -1875 - -1875. Factor -4/7*i + 2/7*i**2 + z.
2*i*(i - 2)/7
Solve 0 - 24 + 39 - 32 + 28*z - 31 - 2*z**2 = 0 for z.
2, 12
Let z be 8*(-1 + (-4)/(-2)). Let q(n) = n**3 + 8*n**2 + 11*n + 1. Let v be q(-6). Find m, given that -z*m + 4 + 7*m**2 - 9*m**3 + m**2 - 2*m + v*m**3 = 0.
1, 2
Let j(q) = -5*q**5 + 5*q**3 - 2*q**2 - 2. Let k be (0 - -3)*2/(-3) - -1. Let z(s) = s**2 + 1. Let i(b) = k*j(b) - 2*z(b). Factor i(r).
5*r**3*(r - 1)*(r + 1)
Let d(i) = -3*i**3 + 4*i**2 - 3*i + 5. Suppose -4*o + 2 = -6. Let z(f) = f**3 + f - 1. Let l(p) = o*d(p) + 10*z(p). Find n such that l(n) = 0.
-1, 0
Let g(o) be the second derivative of -7*o**6/225 + 11*o**5/50 + 13*o**4/5 + 316*o**3/45 + 24*o**2/5 - 2*o - 33. Suppose g(i) = 0. Calculate i.
-2, -2/7, 9
Suppose -7*h - 24 = -73. Let v(w) be the second derivative of 0*w**3 + 3/20*w**5 - 1/4*w**4 - 1/14*w**h + 0*w**2 + 1/10*w**6 + 0 - 4*w. Solve v(z) = 0.
-1, 0, 1
Suppose 15*k - 17*k = -494. Determine a so that -k*a + 207*a + 1 - 2*a**3 + 16*a**2 + 0*a**3 + 31 = 0.
2, 4
Let p(z) be the third derivative of -69*z**8/560 - 209*z**7/350 - 213*z**6/200 - 3*z**5/4 - z**4/20 + 5*z**2 + 15*z. Factor p(n).
-3*n*(n + 1)**3*(69*n + 2)/5
Suppose 538 = 10*b - 8*b. Let 165*o**4 - 234*o**5 + b*o**5 - 40*o**2 + 65*o**3 + 25*o**3 = 0. Calculate o.
-4, -1, 0, 2/7
Let p be 0/((15 + 13)/(-4)). Suppose -1/4*u**3 + 0 + 1/2*u**2 + p*u = 0. What is u?
0, 2
Let o(c) be the second derivative of -c**6/30 - 3*c**5/20 + c**4/12 + c**3/2 - 148*c. Factor o(r).
-r*(r - 1)*(r + 1)*(r + 3)
Let x(q) be the second derivative of 16/13*q**2 + 7*q + 16/39*q**3 + 0 - 4/39*q**4 - 8/65*q**5 - 7/195*q**6 - 1/273*q**7. Let x(k) = 0. What is k?
-2, 1
Determine n so that -n**4 - 15*n**3 + 4*n**4 + 2*n**4 + 39*n**3 - 19*n**3 - 10*n**2 = 0.
-2, 0, 1
Suppose 11*g = 16*g - 325. Let h = -63 + g. Let -2/3*k**h + 1/3*k**3 + 1/3*k + 0 = 0. What is k?
0, 1
Factor -45*h**2 - 1541*h**3 + 24*h + 1546*h**3 + 46*h.
5*h*(h - 7)*(h - 2)
Let z = 11 - -7. Let p be 32/z + 6/27. Solve 2 - 6*l**p + 14*l**2 - 9*l - 3*l**2 - 7*l**4 + 9*l**3 = 0.
-1, 2/7, 1
Let n(z) be the third derivative of z**9/30240 + z**8/2520 + z**5/3 - 17*z**2. Let m(b) be the third derivative of n(b). Factor m(q).
2*q**2*(q + 4)
Let x(t) be the third derivative of 0*t**5 + 0*t**3 - 1/105*t**7 - 1/90*t**6 + 0*t**4 + 0*t - 1/504*t**8 + 0 + 15*t**2. Determine c so that x(c) = 0.
-2, -1, 0
Let k(o) = -o**2 - o - 1. Let y(c) = -3*c + 1. Let i(t) = t**2 + t - 1. Let j be i(-2). Let d(w) = j*k(w) + y(w). Solve d(a) = 0.
-4, 0
Let w(p) be the second derivative of p**5/190 - 11*p**4/114 + p**3/3 - 9*p**2/19 - 5*p - 2. Solve w(b) = 0.
1, 9
Let o(z) be the third derivative of 0*z**3 - 10*z**2 + 0 + 0*z - 1/20*z**5 + 1/4*z**4 - 1/40*z**6. Factor o(k).
-3*k*(k - 1)*(k + 2)
Suppose 0 = 5*d - 12 - 8. Factor 36 - 12 - 8*i**2 + 15*i**3 - 3*i**d + 69*i - 11*i**2 + 82*i**2.
-3*(i - 8)*(i + 1)**3
Let y(m) be the third derivative of 0*m**3 + 0*m**4 + 0*m + 0 - 1/40*m**6 + 0*m**5 + 10*m**2. Factor y(i).
-3*i**3
Let u(l) be the second derivative of l**7/175 + l**6/100 - 15*l**2/2 - 3*l. Let t(j) be the first derivative of u(j). Factor t(o).
6*o**3*(o + 1)/5
Let g(z) = -2*z**2 - 19*z. Let j be g(-8). Let i be 8/(-12)*(-8)/j. Factor 4/9*s**3 - 2/9*s**4 + 4/9*s**2 - 2/9 - i*s**5 - 2/9*s.
-2*(s - 1)**2*(s + 1)**3/9
Let m(z) = 2*z**4 + 17*z**3 - 42*z**2 - 14*z + 55. Let c(j) = j**4 + j**3 + 2*j**2 + 2. Let x(q) = 6*c(q) - 2*m(q). Factor x(s).
2*(s - 7)**2*(s - 1)*(s + 1)
Suppose -5 = 5*f - 4*z, -26 = f - 3*f - 4*z. Let s be f/15 - (-88)/10. Determine o so that -3*o - 2 - 2*o - s*o**4 + 7*o**2 + 9*o**3 + 0 + 0*o = 0.
-2/3, -1/3, 1
Let p(w) = w**3 - w - 1. Let g(x) = 8*x**3 - 4*x**2 + 6*x - 10. Let i(o) = -2*g(o) + 20*p(o). Factor i(k).
4*k*(k - 2)*(k + 4)
Let i(v) be the first derivative of -3*v**4/4 - 61*v**3 + 216. What is p in i(p) = 0?
-61, 0
Suppose 3/2 + 17/4*x + 7/2*x**2 + 3/4*x**3 = 0. What is x?
-3, -1, -2/3
Let t(l) = l**3 - 15*l**2 - 5*l + 1. Let d be t(15). Let q = d + 74. Factor -8/5*m**4 - 8/5*m**3 + 0 - 2/5*m**2 + q*m.
-2*m**2*(2*m + 1)**2/5
Let n(g) be the third derivative of 0*g**3 - 1/72*g**4 + 0*g + 1/720*g**6 + 0 + 1/2016*g**8 - 1/120*g**5 + 42*g**2 + 1/420*g**7. Solve n(o) = 0.
-2, -1, 0, 1
Let h(u) be the third derivative of -u**6/300 - u**5/150 + u**4/30 - 144*u**2. Let h(f) = 0. What is f?
-2, 0, 1
Let u(s) = 2*s**4 - s**2 - 2*s - 1. Let p(i) = 4*i**5 - 60*i**4 + 32*i**3 + 50*i**2 - 16*i + 10. Let n(d) = p(d) + 10*u(d). Factor n(c).
4*c*(c - 9)*(c - 1)**2*(c + 1)
Let l be -4 - 2/(-2) - (1 - 3). Let h be (112/(-70))/(l/4*3). Factor 2/15*x**2 + 16/15*x + h.
2*(x + 4)**2/15
Factor -5/2*t + 0 + 2*t**2 + 1/2*t**3.
t*(t - 1)*(t + 5)/2
Let g(n) be the first derivative of -14 - 2/9*n - 8/27*n**3 + 1/12*n**4 + 7/18*n**2. Factor g(d).
(d - 1)**2*(3*d - 2)/9
Let c = -2 - -5. Let r = -179 - -185. Factor 3*u + 3*u + 3 - r*u - c*u**2.
-3*(u - 1)*(u + 1)
Suppose 60 = 2*y - 2*u, -y - 38 = -2*y + 3*u. Let h = y + -24. Find s, given that 2/5*s**4 + 0*s**3 + 0 - 6/5*s**h + 4/5*s = 0.
-2, 0, 1
Let w be (-3 - (-3)/21)*14/(-4). Suppose 2*r = z - 3, -5*z - 4*r = -w*z + 21. Factor 2/5*v**4 - 4/5*v**3 + 0 + 0*v**2 + 6/5*v**z + 0*v.
2*v**3*(v + 1)*(3*v - 2)/5
Let q be -11 - -2 - (56 + -70). Let y(g) be the first derivative of -9 + 0*g + 0*g**2 + 0*g**3 + 0*g**4 + 1/21*g**6 - 2/35*g**q. What is r in y(r) = 0?
0, 1
Let o be 16/(-72) - (-33)/27. Let s(q) be the first derivative of -10*q**2 + 8/3*q**3 - 8*q + 5*q**4 - o. Factor s(g).
4*(g - 1)*(g + 1)*(5*g + 2)
Let p(u) be the first derivative of u**4/8 - 3*u**3/2 - 5*u**2/2 + 65. Factor p(v).
v*(v - 10)*(v + 1)/2
Let q(u) be the first derivative of 49*u**5 - 280*u**4 + 1315*u**3/3 - 250*u**2 + 60*u + 161. Factor q(m).
5*(m - 3)*(m - 1)*(7*m - 2)**2
Let o be 3 + ((-25)/5 - -8). Let a(k) be the third derivative of -o*k**2 + 4/15*k**3 + 1/150*k**6 + 0*k + 0 - 1/30*k**4 - 1/25*k**5 + 2/525*k**7. Factor a(g).
4*(g - 1)**2*(g + 1)*(g + 2)/5
Factor -13/7*r**4 + 6*r**3 + 37/7*r - 58/7*r**2 - 9/7 + 1/7*r**5.
(r - 9)*(r - 1)**4/7
Let i(s) be the second derivative of 2*s**7/189 + 2*s**6/27 - 13*s**5/45 + 7*s**4/27 + 25*s + 1. Let i(h) = 0. What is h?
-7, 0, 1
Factor 30*t + 2419 - 2419 + 47*t**2 - 11*t**4 + t**5 - 2*t**3 - t**3 + 8*t**3.
t*(t - 10)*(t - 3)*(t + 1)**2
Let b be 15/35 + 27/(-14) + 2. Let p(v) be the second derivative of 8/9*v**4 - 2/3*v**2 - b*v**5 + 0 + 4*v + 4/45*v**6 - 1/3*v**3. Solve p(y) = 0.
-1/4, 1, 2
Let a(v) be the second derivative of v**6/60 - 3*v**5/8 - 13*v**4/6 - 3*v**3 - 8*v - 1. Let a(x) = 0. Calculate x.
-2, -1, 0, 18
Let s = 130 - 125. Let r be (4 - s) + 6/4. Factor r*k - 1/4 - 1/4*k**2.
-(k - 1)**2/4
Let z(v) = 29*v**3 - 76*v**2 + 36*v + 48. Let o(m) = -56*m**3 + 151*m**2 - 72*m - 96. Let f(x) = 4*o(x) + 7*z(x). Factor f(w).
-3*(w - 2)**2*(7*w + 4)
Let v(m) be the second derivative of m**5/4 + 425*m**4/4 + 36125*m**3/2 + 3070625*m**2/2 + 66*m + 2. Find w, given that v(w) = 0.
-85
Let i(y) be the first derivative of y**5/50 + 9*y**4/40 - y**3/10 - 5*y**2/4 + 9*y/5 - 81. Factor i(b).
(b - 1)**2*(b + 2)*(b + 9)/10
Let u(o) be the second derivative of -o**4/54 + 6*o**3 + 163*o**2/9 + 165*o - 2. Factor u(c).
-2*(c - 163)*(c + 1)/9
Factor 0 + 1/5*k**4 + 60*k - 17/5*k**3 + 8*k**2.
k*(k - 10)**2*(k + 3)/5
Let w(v) be the second derivative of v**4/32 + v**3/2 + 3*v**2 + 182*v. Suppose w(g) = 0. What is g?
-4
Let x = 326123/125 - 2609. Let m = 121/250 - x. Find c, given that 5/4*c - 1/4*c**3 + 1/4*c**4 - 3/4*c**2 - m = 0.
-2, 1
Factor -9*l + 14 - 48 + 14 - l**2 + 12.
-(l + 1)*(l + 8)
Let b(m) be the third derivative of -m**2 + 1/21*m**7 + 1/30*m**6 + 0*m**5 + 0*m**4 + 0*m + 0*m**3 + 0. Factor b(g).
2*g**3*(5*g + 2)
Let w = 5 + -21. Let x(l) = 12*l**2 + 4*l. Let p(u) = -4*u**2 - u. Let r(m) = w*p(m) - 