 2/3*g + 4/3*g**2 + y*g**k.
2*g*(g + 1)**2/3
Let 0 - 3/8*l**5 - 9/4*l + 9/8*l**4 - 21/8*l**2 + 9/8*l**3 = 0. Calculate l.
-1, 0, 2, 3
Let k(h) be the first derivative of 26*h**3/3 + 18*h**2 + 16*h + 5. Let o(w) = 5*w**2 + 7*w + 3. Let x(z) = -3*k(z) + 16*o(z). What is m in x(m) = 0?
-2, 0
Suppose -4*u + 8 = -4*q, 3*u + 2 = 2*u. Let i be (q/28)/((-8)/28). Factor 0*t - 1/2*t**4 + t**2 + 0 - i*t**3.
-t**2*(t - 1)*(t + 2)/2
Let p be (12/9 - 1)*0. Factor 6*c**3 + 0*c + 9*c - 20*c**2 - c + p*c + 9*c**4.
c*(c + 2)*(3*c - 2)**2
Let t(r) be the second derivative of -2*r**7/105 - r**6/10 - r**5/5 - r**4/6 + r**2/2 - 13*r. Let c(v) be the first derivative of t(v). Factor c(b).
-4*b*(b + 1)**3
Let h = 13 + -15. Let c be (3/h)/((-6)/8). Factor -10*f + 5*f**2 - 7*f**c + 4*f.
-2*f*(f + 3)
Let b = -15 - -12. Let i = b + 5. Factor 5 + 29*l**2 - 25*l**i - 16*l + 11.
4*(l - 2)**2
Let q(p) be the second derivative of -p**5/25 + p**4/6 - 4*p**3/15 + 4*p**2 - 7*p. Let z(o) be the first derivative of q(o). Suppose z(j) = 0. What is j?
2/3, 1
Let p be 50/4*(-112)/(-70). Suppose w = -5*v + 12 + 2, 4*w = -2*v + p. Factor -v*o - o - 2 - 16*o**2 + 15*o**2.
-(o + 1)*(o + 2)
Suppose -3*c = -3, -4 + 7 = -3*u + 3*c. Let b(s) be the first derivative of 11/18*s**4 + u*s**2 + 2 + 0*s - 4/27*s**3. Determine d, given that b(d) = 0.
0, 2/11
Let q(c) = c**3 + 11*c**2 + 12*c + 22. Let x be q(-10). Factor 789*a**4 + 0*a**2 - a**x - 788*a**4.
a**2*(a - 1)*(a + 1)
Let p(q) be the first derivative of 8*q**5/3 + 2*q**4/3 - 26*q**3/15 - 4*q**2/15 + 8*q/15 - 88. Factor p(n).
2*(2*n + 1)**2*(5*n - 2)**2/15
Let w(a) = -a**2 + 9*a - 9. Suppose y - 6 = 1. Let h be w(y). Factor -5*m**2 - 4*m**h + 4*m**3 - 4*m**4 + 3*m**2 + 6*m**2.
-4*m**2*(m - 1)*(m + 1)**2
Suppose 0 = 3*l - v + 4*v, 0 = -4*l - 5*v - 2. Suppose 0 = n - a - l, -3*n - 2*a = -4 + 8. Factor 14/11*m**3 + 0*m + n + 4/11*m**2 + 10/11*m**4.
2*m**2*(m + 1)*(5*m + 2)/11
Let s(o) be the second derivative of 0 - 4/3*o**4 + 2/3*o**3 + o + 6/5*o**5 + 2/21*o**7 - 8/15*o**6 + 0*o**2. Factor s(w).
4*w*(w - 1)**4
Let u(d) be the first derivative of 3*d**5/5 - 20*d**4/9 + 26*d**3/9 - 4*d**2/3 - 11*d - 8. Let j(g) be the first derivative of u(g). Factor j(v).
4*(v - 1)**2*(9*v - 2)/3
Let f be (140/(-21))/(5/(-6)). Let v(p) be the second derivative of 2/9*p**3 + 0*p**2 + 1/36*p**4 + 0 - f*p. Solve v(t) = 0 for t.
-4, 0
Suppose 0*t + 2/13*t**3 + 2/13*t**2 + 0 - 2/13*t**5 - 2/13*t**4 = 0. What is t?
-1, 0, 1
Let v(f) be the first derivative of 8*f**2 - 9 + f**4 + 0*f + 16/3*f**3. Find a such that v(a) = 0.
-2, 0
Suppose 2*k = 3*f + 130, 0 = 3*k - f - 0*f - 209. Solve 5*x**2 - k*x + 4 + 32*x - 19 + 29*x = 0 for x.
-1, 3
Let z(u) be the first derivative of -49/4*u + 13 + 7/4*u**2 - 1/12*u**3. Find t such that z(t) = 0.
7
Let g be -2 + (-2 - 11)*1. Let m(z) = 27*z**4 - 51*z**2 - 39*z - 15. Let c(w) = -7*w**4 + 13*w**2 + 10*w + 4. Let y(i) = g*c(i) - 4*m(i). Factor y(f).
-3*f*(f - 2)*(f + 1)**2
Let g(w) be the second derivative of -10/27*w**3 + 1/90*w**5 - 5 + 0*w**2 - 1/6*w**4 + 7*w. Solve g(i) = 0 for i.
-1, 0, 10
Let x = 15648 + -125181/8. Factor -1/2 - x*m**2 + m + 1/8*m**4 - 1/4*m**3.
(m - 2)*(m - 1)**2*(m + 2)/8
Let l(p) = -19*p**3 - 56*p**2 - 23*p - 39. Let x(c) = -3*c**3 - 9*c**2 - 4*c - 6. Let g(z) = 6*l(z) - 39*x(z). Factor g(d).
3*d*(d + 2)*(d + 3)
Let z = 1/9919 - -29755/19838. Let m be 145/10 + -1 + 0. Factor -21/2*x - 15/2*x**3 + m*x**2 + z*x**4 + 3.
3*(x - 2)*(x - 1)**3/2
Suppose -4*q**2 + 14*q**2 + 222*q - 2*q**4 + 0*q**2 + 4*q**3 - 234*q = 0. What is q?
-2, 0, 1, 3
Let o = -55 + 57. What is x in 7*x**2 + 45*x - 25*x - 5*x**3 - 20 - 2*x**o = 0?
-2, 1, 2
Suppose 0 = 2*p + 3*o - 7, 56*p - 52*p - 2*o - 6 = 0. Solve -392/3 - 2/3*r**p + 56/3*r = 0.
14
Let -6*i**3 - 79*i**3 - 30 + 74*i - 15*i**4 + 45*i**2 + 107*i - 96*i = 0. Calculate i.
-6, -1, 1/3, 1
Let r(a) = 2*a + 0*a - a. Let v(x) = 3*x**2 + 8*x + 2*x**2 - 7*x**2. Let k(c) = -4*r(c) + v(c). Suppose k(f) = 0. What is f?
0, 2
Let t(l) be the second derivative of l**6/5 - 39*l**5/20 + 6*l**4 - 17*l**3/2 + 6*l**2 + 196*l. Let t(s) = 0. What is s?
1/2, 1, 4
Let c = 94 + -77. Find p such that 3*p**4 + c - 3*p + p**3 - 36*p - 35 + 2*p**3 - 21*p**2 = 0.
-2, -1, 3
Suppose -b + 14 = -5*x, b + b + 17 = -5*x. Let k be 4/6 + (-6)/(-9)*b. Factor 2/9*w + 0*w**3 + 4/9*w**2 - 2/9*w**5 + k - 4/9*w**4.
-2*w*(w - 1)*(w + 1)**3/9
Factor -t**2 + 1/3*t**3 + 0*t + 4/3.
(t - 2)**2*(t + 1)/3
Let z(o) be the first derivative of 2*o**5/5 - 2*o**3 + 2*o**2 - 358. Factor z(x).
2*x*(x - 1)**2*(x + 2)
Let i(j) = 3*j**3 - 2*j**2 + 2*j + 2. Let k be i(0). Solve -2/3*m**5 + 0*m - 4/3*m**4 + 2/3*m**3 + 4/3*m**k + 0 = 0.
-2, -1, 0, 1
Let r(m) = -m**3 + 2*m**2 - m - 1. Let z(u) = 4*u**3 - 114*u**2 - 216*u - 107. Let g(n) = -3*r(n) - z(n). Factor g(j).
-(j - 110)*(j + 1)**2
Let m(k) = 120*k - 478. Let w be m(4). Find c such that 0 + 2/5*c + 1/5*c**w = 0.
-2, 0
Let d be ((-8)/2928)/(1/(-232)). Let q = d - -2/61. Find w, given that q*w - 4/9 - 2/9*w**2 = 0.
1, 2
Let k = 19999 + -19999. Determine b, given that 2/3*b**2 + 2/3*b**3 + k*b + 0 = 0.
-1, 0
Let y(f) = f**2 - 143*f + 162. Let l(u) = -2*u**2 + 214*u - 244. Let g(b) = 5*l(b) + 8*y(b). Determine q so that g(q) = 0.
-38, 1
Let u(c) be the third derivative of -c**5/270 + c**4/36 - 2*c**3/27 + 160*c**2. Factor u(d).
-2*(d - 2)*(d - 1)/9
Let v(x) be the third derivative of -1/48*x**4 + 0*x + 1/6*x**3 + 0 + 6*x**2 - 1/120*x**5. Factor v(y).
-(y - 1)*(y + 2)/2
Let p(r) be the third derivative of -r**5/12 - 5*r**4/6 - 20*r**2 - r. Find q, given that p(q) = 0.
-4, 0
Let l(j) = -j**3 - 13*j**2 + 13*j + 2. Let f be l(-14). Let h = -10 + f. Solve -2*x**3 - 3*x**4 + 3*x**5 + x**3 + 3*x**2 - 8*x**3 + h*x = 0.
-1, 0, 1, 2
Let w(r) be the second derivative of -r**5/96 + 11*r**4/192 - r**3/24 + 6*r**2 + 22*r. Let f(o) be the first derivative of w(o). What is c in f(c) = 0?
1/5, 2
Suppose -14 = -5*n + 16*g - 18*g, g = 3*n - 4. Factor n*r - r - 5*r**2 + 10*r - 26*r.
-5*r*(r + 3)
Suppose -5*d + 150 = 5*q, 9*d = 13*d + 12. Suppose -4*w - q = -45. Factor 0 + 1/2*l + 1/2*l**w + l**2.
l*(l + 1)**2/2
Let u(v) = 25*v - 448. Let d be u(18). Let z(n) be the first derivative of 4/3*n**3 + 64*n - 16*n**d + 11. What is j in z(j) = 0?
4
Let u = -1207 - -1211. Let r(f) be the first derivative of 0*f**3 + 6*f**2 - 1 + 0*f - 9/4*f**u - 3/5*f**5. Solve r(b) = 0.
-2, 0, 1
Let w = -940 + 943. Let v(f) be the first derivative of -3 - 1/5*f**w + 0*f + 3/5*f**2. Factor v(d).
-3*d*(d - 2)/5
Suppose -2*s - 64*s - s = -201. What is t in 720*t - 288 + 500/3*t**s - 600*t**2 = 0?
6/5
Let g(v) be the second derivative of -v**7/105 - v**6/30 - v**5/30 - 16*v**2 + 3*v. Let y(k) be the first derivative of g(k). Factor y(n).
-2*n**2*(n + 1)**2
Let l(w) be the third derivative of -w**6/180 + 4*w**5/135 + w**4/27 - 16*w**3/27 - 166*w**2. Factor l(j).
-2*(j - 2)**2*(3*j + 4)/9
Suppose -6*y = 5 - 23. Let c(h) be the second derivative of -16/3*h**y + 5/6*h**4 + 5*h + 4*h**2 + 0 + 7/10*h**5. Factor c(g).
2*(g - 1)*(g + 2)*(7*g - 2)
Let g = 8 + -23. Let j = 19 + g. Factor -7*n**2 - 27*n**5 + 24*n**5 + 3*n + n**2 + 6*n**j.
-3*n*(n - 1)**3*(n + 1)
Let j(o) be the third derivative of o**8/5040 + o**7/252 + o**6/45 - o**5/4 - 2*o**2. Let h(y) be the third derivative of j(y). Factor h(z).
4*(z + 1)*(z + 4)
Factor 24*c + 48*c**2 + 45*c**2 - 60 + 45*c**2 + 44*c**2 - 179*c**2.
3*(c - 2)*(c + 10)
Let y(f) be the third derivative of -f**5/270 + f**4/108 + 2*f**3/27 + 42*f**2 - 3. Factor y(t).
-2*(t - 2)*(t + 1)/9
Let l(z) = -4*z**3 + 12*z**2 - 8*z - 8. Suppose -9 = -2*n - 11. Let o(p) = -1. Let b(u) = n*l(u) + 8*o(u). Suppose b(i) = 0. What is i?
0, 1, 2
Let b(r) be the third derivative of r**8/35280 + r**7/8820 - r**6/630 - r**5/6 + 4*r**2. Let j(z) be the third derivative of b(z). Let j(w) = 0. Calculate w.
-2, 1
Solve -8*u**2 + 24/7*u**3 - 2/7*u**5 + 0 + 2/7*u**4 + 32/7*u = 0.
-4, 0, 1, 2
Let y(k) = -2*k + 40. Let q be y(7). Factor -6*r**4 - 16*r**3 - 50*r - q*r**2 + 38*r + r**4 + 3*r**4.
-2*r*(r + 1)**2*(r + 6)
Let f be (2/(-10) - (-171)/(-45))/6 - -1. Suppose u**2 - 2/3*u - f*u**3 + 0 = 0. Calculate u.
0, 1, 2
Let z be (-3)/2 - (5 + 51/(-6)). Factor 2*k - 1 + 3 + 3*k - k**3 - 2*k**z - 4*k.
-(k - 1)*(k + 1)*(k + 2)
Let v = -528 + 5