l**2/10 + 10*l. Solve n(c) = 0 for c.
-3, -1
Let j be (8/7)/((0 - -4) + -2). Let i(y) be the first derivative of 2/7*y**4 + j*y**3 + 2/35*y**5 + 4/7*y**2 + 2/7*y - 3. Factor i(n).
2*(n + 1)**4/7
Factor 42*w - w**3 + 6*w**3 - 47*w.
5*w*(w - 1)*(w + 1)
Let -3/5*d**3 - 33/5*d**2 - 36/5*d - 12/5 + 3/5*d**5 + 9/5*d**4 = 0. What is d?
-2, -1, 2
Let r(n) = -n**2 + 6*n + 7. Let b be r(7). Determine v, given that 4*v - 2*v + b*v + 2*v**2 = 0.
-1, 0
Let 12*p**4 - 6*p**2 + 9*p**5 + 0*p**4 - 4*p**3 + p**3 = 0. What is p?
-1, 0, 2/3
Let y(g) be the third derivative of g**5/150 + g**4/60 - 2*g**3/15 - g**2. Suppose y(f) = 0. Calculate f.
-2, 1
Suppose -9*p + 4*p + 15 = 0. Suppose 0 = -4*x - p*b + 10, -4*x = x + 5*b - 10. Factor 4/3*w**3 - 2/3*w**x + 0*w**2 + 0*w + 0 - 2/3*w**5.
-2*w**3*(w - 1)*(w + 2)/3
Suppose 0 = -3*x - x + 12. Factor 4*d - 22*d**2 + 20*d**2 + 4 + d - x*d.
-2*(d - 2)*(d + 1)
Suppose -h - 2*h + 9 = 0. Let g(o) be the first derivative of -3/5*o**2 + 3/5*o + 1/5*o**3 + h. Factor g(y).
3*(y - 1)**2/5
Let z(n) = 2*n + 1 - 5 + 8*n**3 - 2 - 2*n**2. Let o(f) = 15*f**3 - 3*f**2 + 4*f - 11. Let s(v) = 6*o(v) - 11*z(v). Factor s(r).
2*r*(r + 1)**2
Let q(w) be the first derivative of -4 - 1/3*w**3 - w**2 - w. Suppose q(m) = 0. Calculate m.
-1
Let q(v) be the second derivative of 4/3*v**4 - 4/15*v**6 - 2/3*v**3 - 2/21*v**7 + 2/5*v**5 + 3*v + 0 - 4*v**2. Find z such that q(z) = 0.
-2, -1, 1
Let h(k) be the second derivative of 2*k - 1/5*k**3 - 1/30*k**4 - 2/5*k**2 + 0. Solve h(r) = 0.
-2, -1
Let h = 9 - 4. Suppose h*k - 5 = -z, -4*k - 12 = -0*k + 4*z. What is t in k*t - 5*t - 3*t**2 - 13 + 19 = 0?
-2, 1
Determine c, given that -22/19*c + 10/19 - 2/19*c**3 + 14/19*c**2 = 0.
1, 5
Let s be -2*(-6)/4 + 2. Factor 8*u**3 + 120*u**5 + 9*u**4 - 114*u**s + 7*u**4.
2*u**3*(u + 2)*(3*u + 2)
Let o(x) be the first derivative of -x**4/24 - x**3/3 - x**2 - x - 5. Let s(p) be the first derivative of o(p). Factor s(m).
-(m + 2)**2/2
Let o = 1/213 + 17/1420. Let n(w) be the third derivative of 0*w + 1/24*w**4 + 0 - 1/120*w**6 + o*w**5 + w**2 - 1/6*w**3. Solve n(p) = 0.
-1, 1
Let k(l) be the third derivative of -l**8/1512 - 2*l**7/945 + l**6/270 + 2*l**5/135 - l**4/108 - 2*l**3/27 - 46*l**2. Solve k(u) = 0.
-2, -1, 1
Suppose 0 = 62*y - 65*y. Factor -2/9 + y*z + 2/9*z**2.
2*(z - 1)*(z + 1)/9
Solve -3*z**4 - 3/2*z + 6*z**3 + 3*z**2 + 0 - 9/2*z**5 = 0 for z.
-1, 0, 1/3, 1
Let d(t) be the third derivative of 0 - 4*t**2 + 1/4*t**4 - 1/3*t**3 - 1/168*t**8 + 0*t + 1/35*t**7 - 1/30*t**6 - 1/15*t**5. Factor d(f).
-2*(f - 1)**4*(f + 1)
Suppose 0 = 5*i - 2*i + 3*l + 3, 3*i - 5 = 5*l. Factor 2/3*d**4 + i + 0*d**3 + 0*d - 2/3*d**2.
2*d**2*(d - 1)*(d + 1)/3
Let j(i) be the third derivative of -i**5/120 + i**4/48 - 6*i**2. Factor j(a).
-a*(a - 1)/2
Let m(v) = -3*v**4 + 4*v**3 + 8*v**2 + 4*v. Let q(l) = 8*l**4 - 3*l**3 + 2*l**3 - 7*l - 2*l**4 - 7*l**3 - 15*l**2. Let r(o) = -7*m(o) - 4*q(o). Factor r(k).
-k**2*(k - 2)*(3*k + 2)
Suppose -3*o + 12 = 0, 0*o = 2*j - 4*o - 68. Let z be 1/3 + j/90. Let 4/5*h - 2/5*h**4 - z*h**3 + 2/5 + 0*h**2 = 0. What is h?
-1, 1
Suppose -3*b = -3*u, 4*b = -b - 5*u + 20. Let m(a) be the first derivative of 2*a + 5/2*a**b + 1 + 9/5*a**5 - 9/4*a**4 - 7/3*a**3. Factor m(d).
(d - 1)**2*(3*d + 1)*(3*d + 2)
Factor -1 + 11*m - 22*m - 112*m**3 + 32*m**4 + 120*m**2 + 9 - 41*m.
4*(m - 2)*(2*m - 1)**3
Let k(r) be the first derivative of -r**6/120 + r**5/40 + r**3 + 1. Let m(b) be the third derivative of k(b). Find a, given that m(a) = 0.
0, 1
Let s be (6/8)/((-67)/(-268)). Find d such that -3/2*d**2 + s*d - 3/2 = 0.
1
Factor -64/3*h + 512/3 + 2/3*h**2.
2*(h - 16)**2/3
Let u(i) = -7*i - 33. Let m be u(-5). Suppose 8/3 - 56/3*x + 98/3*x**m = 0. Calculate x.
2/7
Let k(u) = -u**3 + 3*u**2 + 4*u + 32. Let c be k(5). Suppose 8/3*q - 16/3 - 1/3*q**c = 0. What is q?
4
Let h(a) be the first derivative of 5*a**4/4 - 5*a**3/3 - 16. Factor h(d).
5*d**2*(d - 1)
Let v(l) be the second derivative of 4*l**7/273 - 17*l**6/195 + 12*l**5/65 - l**4/6 + 2*l**3/39 - 22*l. Solve v(o) = 0.
0, 1/4, 1, 2
Let h = 4 - 2. Let m = 30 - 28. Find d, given that 4*d + 0*d**2 - m*d - d**h = 0.
0, 2
Factor -6 + 2/3*n**3 + 2*n + 10/3*n**2.
2*(n - 1)*(n + 3)**2/3
Suppose -b**2 + 12 - 12 - b**2 + 8 = 0. What is b?
-2, 2
Let f = 1 + 5. Let q(d) = 9*d**5 + 11*d**4 + 7*d**3 + 3*d**2 + 5*d. Let t(b) = -4*b**5 - 5*b**4 - 3*b**3 - b**2 - 2*b. Let p(k) = f*q(k) + 14*t(k). Factor p(y).
-2*y*(y - 1)*(y + 1)**3
Let l = 406/3 - 134. Let b(i) be the second derivative of 2*i**2 + i + 0 - l*i**3 - 5/12*i**4. Factor b(q).
-(q + 2)*(5*q - 2)
Let v = 319 - 2549/8. Let i(x) be the first derivative of 1/12*x**3 + 1/2*x - v*x**2 + 4. Factor i(g).
(g - 2)*(g - 1)/4
Find h, given that 7 + 12 - 8*h - 7 - 4*h**2 = 0.
-3, 1
Let g(f) = -3*f**3 + 10*f**2 + 6*f - 23. Let k(z) = z**3 - 5*z**2 - 3*z + 11. Let u(x) = 2*g(x) + 5*k(x). Find h such that u(h) = 0.
-3, 1
Let b(m) = -10*m**3 + 230*m**2 + 45*m. Let k(y) = -y**3 + 21*y**2 + 4*y. Let w(i) = 6*b(i) - 65*k(i). What is h in w(h) = 0?
-2, -1, 0
Suppose -5*u - h - 2 = -18, -2*u + 9 = 3*h. Let t(v) be the second derivative of 2/15*v**6 + 3/10*v**5 - 1/3*v**u - 2*v + 0*v**2 + 0*v**4 + 0. Factor t(z).
2*z*(z + 1)**2*(2*z - 1)
Factor 5/3*g - 4/3*g**3 - 1/3*g**5 - 2/3 + 4/3*g**4 - 2/3*g**2.
-(g - 2)*(g - 1)**3*(g + 1)/3
Factor -6*d**3 + 21*d**3 + 12 - 12*d**3 + 15*d**2 + 24*d.
3*(d + 1)*(d + 2)**2
Let s be ((-18)/(-4))/9 - 0. Factor 0 + 0*c - s*c**3 + 1/2*c**2.
-c**2*(c - 1)/2
Let r(d) be the first derivative of -d**6/2700 + d**4/180 - 5*d**3/3 + 8. Let j(p) be the third derivative of r(p). Factor j(q).
-2*(q - 1)*(q + 1)/15
Factor -1/2*w**3 - 1/2*w**4 - 11/2*w + 9/2*w**2 + 2.
-(w - 1)**3*(w + 4)/2
Let 1/7*q**3 + 3/7*q + 9/7 - 5/7*q**2 = 0. What is q?
-1, 3
Let c(l) = -4*l**4 + 2*l**2 - 3*l - 7. Let a(n) = 15*n**4 - n**3 - 9*n**2 + 12*n + 27. Let f(k) = 6*a(k) + 22*c(k). Solve f(u) = 0.
-1, 1, 4
Suppose 27 = 5*g + 3*p, -3*g = g + 2*p - 20. Let a = -2/2505 - -2006/2505. Factor -a - x**2 + 7/5*x**g - 16/5*x.
(x - 2)*(x + 1)*(7*x + 2)/5
Let m(f) be the first derivative of -f**3/6 + f**2/4 + f - 3. Find w, given that m(w) = 0.
-1, 2
Let y(p) be the second derivative of p**7/280 + p**6/40 + p**5/20 + 7*p**3/6 + 7*p. Let i(l) be the second derivative of y(l). Determine u so that i(u) = 0.
-2, -1, 0
Let s = -18/5 + 136/35. Factor 0*w - s + 2/7*w**2.
2*(w - 1)*(w + 1)/7
Let q be (-5)/((-3 - 1) + 3). Determine h, given that 0 - 2/3*h**2 - 1/3*h**q + 0*h**3 + 1/3*h + 2/3*h**4 = 0.
-1, 0, 1
Suppose -2*i = 2*c + 1 - 5, i = -3*c + 14. Let x be (c/8)/((-18)/(-12)). Solve 0 + 0*o - x*o**4 + 0*o**2 - 1/2*o**3 = 0.
-1, 0
Let p(i) be the third derivative of -1/1800*i**6 + 0*i + 0 + 1/600*i**5 + 1/60*i**4 + 1/3*i**3 + i**2. Let j(t) be the first derivative of p(t). Factor j(c).
-(c - 2)*(c + 1)/5
Factor 23 - 19 + 6*r - 18*r - 4*r**3 + 12*r**2.
-4*(r - 1)**3
Suppose p + 39 = 14*p. Factor -6/7*i**2 + 0 + 2/7*i**4 + 0*i**p + 4/7*i.
2*i*(i - 1)**2*(i + 2)/7
Let 8 + 3*k**2 + 4 - 5*k + 11*k + 9*k = 0. Calculate k.
-4, -1
Let n = -6 + 9. Determine y so that 3*y - 4*y + n*y + 2 + 3*y + 4*y**2 + y**3 = 0.
-2, -1
Let p = 11 + 0. Let u = 15 - p. Factor 2/3*w**u + 0*w**3 - 2/3*w**2 + 0*w + 0.
2*w**2*(w - 1)*(w + 1)/3
Let v(t) be the third derivative of 2*t**7/1155 + t**6/132 + t**5/110 - t**4/132 - t**3/33 - 2*t**2. Factor v(d).
2*(d + 1)**3*(2*d - 1)/11
Factor -8/9 - 20/9*w - 16/9*w**2 - 4/9*w**3.
-4*(w + 1)**2*(w + 2)/9
Suppose -8*q = -7*q. Factor -1/2*n**2 + q + 1/4*n - 1/4*n**5 + 1/2*n**4 + 0*n**3.
-n*(n - 1)**3*(n + 1)/4
Let d(m) be the first derivative of 0*m**4 - 1/300*m**5 + 2*m**2 + 1/30*m**3 - 2 + 0*m. Let u(o) be the second derivative of d(o). Solve u(x) = 0 for x.
-1, 1
Let k(d) be the second derivative of -1/18*d**4 + 0 + 0*d**3 + 1/3*d**2 + 2*d. Determine i so that k(i) = 0.
-1, 1
Let s(t) be the third derivative of -t**8/1008 + t**7/126 - t**6/45 + t**5/45 - 8*t**2. Suppose s(z) = 0. Calculate z.
0, 1, 2
Let w(m) = -m + 10. Suppose -5*n - 2 = -42. Let b be w(n). Suppose -1/2 - 1/2*j + 1/2*j**3 + 1/2*j**b = 0. What is j?
-1, 1
Let s(r) be the first derivative of 9 + 36*r - 30*r**2 - r**4 + 28/3*r**3. Solve s(p) = 0.
1, 3
Suppose 7 = 5*j - 2*j - 2*k, -2*k - 4 = 0. Factor -1/3*o**2 + 2/3*o + j.
-(o - 3)*