0*x**2 + 0 + 0*x**4.
-2*x**3*(x - 1)*(x + 1)/7
Let n = -24 + -39. Let x be (-5)/20 + n/(-12). Determine g, given that -2/3*g + 5/3*g**3 + 1/3*g**4 - g**x + 0 - 1/3*g**2 = 0.
-1, -2/3, 0, 1
Let t(b) be the third derivative of -1/18*b**3 - 1/180*b**6 + 0*b**5 + 4*b**2 + 0 + 1/36*b**4 + 0*b + 1/630*b**7. Factor t(n).
(n - 1)**3*(n + 1)/3
Let -l**3 - 4*l**4 - 28*l**5 + 26*l**5 - l**3 = 0. What is l?
-1, 0
Let o(n) be the first derivative of 4*n**3/7 + 11*n**2/7 - 4*n/7 - 35. What is u in o(u) = 0?
-2, 1/6
Factor 12/7 - 2/7*k**2 + 2/7*k.
-2*(k - 3)*(k + 2)/7
Let n(s) be the first derivative of -s**8/252 + s**7/63 - s**6/60 - s**5/90 + s**4/36 - 3*s**2/2 + 2. Let m(p) be the second derivative of n(p). Factor m(w).
-2*w*(w - 1)**3*(2*w + 1)/3
Let a(f) = -f**2 + 2*f - 9. Let r be a(9). Let s be (-40)/r - (-1)/(-3). Factor -s*x**2 - 2/9*x + 0.
-2*x*(x + 1)/9
Let r(k) = 10*k**3 + 45*k**2 + 165*k - 65. Let a(t) = -t**3 - 4*t**2 - 15*t + 6. Let p(g) = -65*a(g) - 6*r(g). Determine m, given that p(m) = 0.
-1, 0, 3
Let m = -13/18 + 20/9. Solve 1/2*j**4 - 1/2*j**2 + m*j**5 + 0 - 5/2*j**3 + j = 0 for j.
-1, 0, 2/3, 1
Let j(m) = 2*m**3 + 4*m**2 + 2*m + 6. Let i(z) = -3*z**3 - 5*z**2 - z - 7. Let q(h) = -3*i(h) - 4*j(h). Suppose q(t) = 0. What is t?
-1, 3
Let p(g) = 0*g - 3*g - g**2 + 2 + 0. Let y be p(-3). Factor y*j - 6*j + 2*j**2 + 2*j.
2*j*(j - 1)
Let d(w) = -w**2 + 2*w + 5. Let k be d(4). Let g be (-3)/(-6 - k)*2. Determine l so that -5*l**g + 2*l**2 - 3*l**3 + 3*l + 3*l - 3*l + 3*l**4 = 0.
-1, 0, 1
Let l be ((-1)/(-4 - 9/(-2)))/(-10). Factor -f**4 + f + l*f**5 + 2*f**3 - 1/5 - 2*f**2.
(f - 1)**5/5
Factor -20*m**2 + 15*m + 17*m**2 + 10 - 28.
-3*(m - 3)*(m - 2)
Let d(p) be the second derivative of 0 - 1/16*p**5 - 1/6*p**4 - 3*p - 1/6*p**3 + 0*p**2 - 1/120*p**6. Factor d(y).
-y*(y + 1)*(y + 2)**2/4
Let j(r) be the first derivative of 5*r**6/6 + 2*r**5 + 5*r**4/4 + 13. Factor j(z).
5*z**3*(z + 1)**2
Let i(g) be the first derivative of g**3/4 + 33*g**2/4 + 363*g/4 + 44. Determine k so that i(k) = 0.
-11
Let t(r) = -10*r**5 + 4*r**4 + 10*r**3 + 24*r**2. Let b(d) = 2*d**5 - d**4 - 2*d**3 - 5*d**2. Let a(n) = 14*b(n) + 3*t(n). Let a(l) = 0. What is l?
-1, 0, 1
Let g = 1 - -1. Let b(v) be the first derivative of -g - 4/3*v**3 + v**2 + 1/2*v**4 + 0*v. Factor b(q).
2*q*(q - 1)**2
Find f, given that 18/7 + 3/7*f**2 - 15/7*f = 0.
2, 3
Let y be (-1)/2*18/(-3). Determine s so that -5 + 2*s**y - 16*s**2 + 5 + 14*s**2 = 0.
0, 1
Let r(i) be the third derivative of i**7/70 - i**6/10 + 3*i**5/10 - i**4/2 + i**3/2 - 9*i**2. Factor r(f).
3*(f - 1)**4
Let p = 527 - 527. Factor 1/2*i**3 + p + 1/2*i**2 - 1/2*i - 1/2*i**4.
-i*(i - 1)**2*(i + 1)/2
Let u = 2/2815 + 22502/25335. Determine q so that 2/9*q - u*q**2 + 0 = 0.
0, 1/4
Let x(w) be the third derivative of -w**5/30 - w**4/2 - 3*w**3 + 20*w**2. Factor x(h).
-2*(h + 3)**2
Suppose q - 3*q = 2*q + o, 0 = 5*o. Suppose q*s + 0 + 3/4*s**4 + 0*s**3 + 0*s**2 = 0. Calculate s.
0
Let c = 31075/812 - 4/203. Let g = -38 + c. Factor 1/4*o + g - 1/4*o**3 - 1/4*o**2.
-(o - 1)*(o + 1)**2/4
Let n(h) = 2*h**3 - 2*h**2 + h + 2. Let g be n(2). Suppose -4 + g = 4*d. What is y in 2/3 + 2*y**d + 2*y + 2/3*y**3 = 0?
-1
Suppose 4*b - x - 11 = 17, 4*x + 22 = b. Let p = -4 - -7. Factor -p*y**4 + 5*y**4 - y - y - b*y**3 + 6*y**2.
2*y*(y - 1)**3
Determine x, given that x + x**3 + 1 + x**3 - x**4 + 0*x**4 - 3*x = 0.
-1, 1
Factor 14*t**3 + 24*t**2 + 34 - 16 + 6*t - 22.
2*(t + 1)**2*(7*t - 2)
Let d(x) be the first derivative of x**6 - 8*x**5/5 - x**4 + 8*x**3/3 - x**2 - 3. Find y such that d(y) = 0.
-1, 0, 1/3, 1
Let d(j) = j + 9. Let o be d(-6). Suppose 12*q + 37*q**2 - 84*q**3 + 23*q**2 + 234*q**o - 4*q + 125*q**4 = 0. Calculate q.
-2/5, 0
Let y(w) be the first derivative of 22*w**6 + 15*w**5 - 183*w**4/4 - 23*w**3 + 51*w**2/2 - 6*w - 8. Determine q, given that y(q) = 0.
-1, 2/11, 1/4, 1
Let d be 1 + 0 - (5 + -4). Solve d*q**2 - 1/2 + q**3 + 1/2*q**4 - q = 0 for q.
-1, 1
Suppose 0*b + 2*b = h + 1, -h = -5. Determine n so that 6*n**b + n + n**5 + 4*n**4 - n**2 + 0*n + 0*n**2 + 5*n**2 = 0.
-1, 0
Let p(j) be the first derivative of 2*j**5/35 - j**4/14 - 4*j**3/7 + 4*j**2/7 + 16*j/7 + 5. Find g, given that p(g) = 0.
-2, -1, 2
Let q(w) be the third derivative of w**5/100 + w**4/5 + 8*w**3/5 - 11*w**2. Solve q(p) = 0 for p.
-4
Let o(w) be the second derivative of 0 + 7*w - 6*w**2 + 0*w**3 + 1/4*w**4. Factor o(i).
3*(i - 2)*(i + 2)
Let j be ((-12)/(-10))/((-2)/(-5)). Let h = 4 - 1. Let w**2 + h*w**2 + 2*w - 4*w**j - 6*w**2 = 0. What is w?
-1, 0, 1/2
Let o = -15 - 0. Let q = o + 31/2. Factor -q*m**2 - 2*m - 2.
-(m + 2)**2/2
Suppose -n = 43 - 43. Let k(l) be the second derivative of 1/3*l**3 + 2*l + n*l**2 + 0 + 1/12*l**4. Determine f, given that k(f) = 0.
-2, 0
Let m(y) be the second derivative of 2*y**7/21 - 4*y**6/15 - 4*y**5/5 + 2*y**4/3 + 2*y**3 - 33*y. Solve m(g) = 0 for g.
-1, 0, 1, 3
Let q be (-6 + 0 + 0)/(-2). Suppose 0 = q*b - 5 - 1. Solve 6*g + g**2 - 2 + g**b + 6 = 0 for g.
-2, -1
Let d(c) = -2*c - 6. Let a be d(-7). Suppose 0 = 3*n + t - 15, n - 3*t + a = t. Let -2*s**n + 5*s**3 - 5*s**3 + 2*s**3 = 0. Calculate s.
0, 1
Let v(k) be the third derivative of -k**8/5040 + k**6/540 - k**4/72 - k**3/3 + k**2. Let z(b) be the first derivative of v(b). Find c, given that z(c) = 0.
-1, 1
Let h be (4 - 3) + 21 - -2. Suppose -3*o - o = -h. Factor 4*n**3 + 4*n**4 + n**2 - 2*n**3 + 3*n**4 - o*n**4.
n**2*(n + 1)**2
Suppose 2*q = -3*q + 3*u + 7, -5*u + 7 = q. Suppose 4/3 + 2/3*h - 2/3*h**q = 0. Calculate h.
-1, 2
Let r(x) be the second derivative of 1/10*x**5 + x**2 - 4*x - 1/3*x**3 - 1/6*x**4 + 0. Factor r(w).
2*(w - 1)**2*(w + 1)
Let x(f) = -f**3 - 10*f**2 + 14*f + 33. Let k be x(-11). Let m = 0 + 0. Factor -2/9*d**3 + m*d + k - 2/9*d**2.
-2*d**2*(d + 1)/9
Let j(l) = -l**3 + 7*l**2 - 6*l + 1. Let k be j(6). Suppose k = -2*x + 5. Let -3*c + 4*c + 4*c**x - 3*c**2 = 0. What is c?
-1, 0
Let f = -847/12 - -205/3. Let p = -41/20 - f. Solve 1/5*y**2 + 0 + p*y = 0.
-1, 0
Let -3*y**3 + 2*y**5 - 3*y**4 + 3*y**2 + 0*y**5 + y**5 = 0. Calculate y.
-1, 0, 1
Determine v, given that -1 - 3*v**2 - 2*v + 0 + 2*v**2 = 0.
-1
Let 0 + 16/5*q**2 + 0*q**4 + 12/5*q**3 - 2/5*q**5 + 6/5*q = 0. Calculate q.
-1, 0, 3
Let a(y) be the second derivative of y**5/100 + y**4/20 + y**3/10 + 5*y**2/2 - y. Let d(n) be the first derivative of a(n). Solve d(g) = 0 for g.
-1
Factor -1/6*c**5 + 3/2 + 3/2*c**4 + 23/3*c**2 - 5*c**3 - 11/2*c.
-(c - 3)**2*(c - 1)**3/6
Let z(t) be the third derivative of -t**6/40 - t**5/20 + t**4/8 + t**3/2 + 26*t**2. Factor z(p).
-3*(p - 1)*(p + 1)**2
Let j be ((-2)/1)/(-1 - 0). Suppose j*b + 2*g = -b - 4, -10 = -5*b + 5*g. Factor 12*h - 4 - 1 + 7*h**2 + b + 1.
(h + 2)*(7*h - 2)
Let w(n) be the first derivative of -n**5/210 - n**4/14 - 3*n**3/7 + 3*n**2/2 + 5. Let q(a) be the second derivative of w(a). Factor q(j).
-2*(j + 3)**2/7
Suppose -3*x + 11 = 44. Let f = x - -11. Factor f + 0*a + 1/4*a**2.
a**2/4
Let d(g) be the first derivative of -g**5/210 + g**4/14 - 3*g**3/7 + g**2 - 1. Let t(n) be the second derivative of d(n). Factor t(z).
-2*(z - 3)**2/7
Let v**2 + 0 + 0 - 2*v**2 - 4*v = 0. Calculate v.
-4, 0
Let k = -4/51 + 7/17. Factor -k + 10/3*o**3 + 5/3*o + 1/3*o**5 - 10/3*o**2 - 5/3*o**4.
(o - 1)**5/3
Let k be 80/36 + 6/(-27). Let z(i) = -i**3 + i**2 + i + 2. Let a be z(k). Factor -5 - 1 + 0*m + a*m + 6*m**2 - 3*m**3 + 3*m.
-3*(m - 2)*(m - 1)*(m + 1)
Let u = 4673/140 + -117/28. Find g, given that -8/5 + 154/5*g**4 - 34/5*g**3 - 64/5*g - u*g**2 + 98/5*g**5 = 0.
-1, -2/7, 1
Let n = 1/31 + 489/217. Factor 32/7 - n*g + 2/7*g**2.
2*(g - 4)**2/7
Solve 3 + 21*b**2 - 10*b - 2*b**3 + 1 - 4*b**2 - 9*b**2 = 0.
1, 2
Let v be 3/9 + 57/(-9). Let r = 9 + v. Factor 4*f**4 + f**r + 2 - 2 - 2*f**4 + f**5.
f**3*(f + 1)**2
What is m in 7*m**4 + 28*m - 6*m**2 - 11 + 0*m**3 - 19*m**3 + 9 + 10 = 0?
-1, -2/7, 2
Suppose -n - 2*v - 3*v = 11, 2*n - 3*v - 17 = 0. Suppose n*f - 4 = 2*f. Suppose 0 + 2/7*y**f - 2/7*y**3 + 0*y = 0. What is y?
0, 1
Suppose 0 = 6*t - t. Let q(v) be the third derivative of 1/72*v**4 + t*v + 2*v**2 + 0 - 7/180*v**5 - 1/70*v**7 + 1/24*v**6 + 0*v**3. Factor q(b).
-b*(b - 1)*(3*b - 1)**2/3
Let f be (-1)/(12/14 - 1). Factor 0*n**2 + f*n**2 + 5 + 1 - 2 - 16*n.
(n - 2)*(7*n - 2