ctor 3/7*i**2 + 0 + d*i.
3*i*(i + 1)/7
Suppose y = -0 + 4. Let l(t) = 2*t**2 + 4*t - 2. Let q(o) = -o. Let a(i) = y*q(i) + l(i). Solve a(s) = 0.
-1, 1
Let t(s) = -s**3 + s**2 + 1. Let j(r) = 8*r**3 + 16*r**2 + 48*r + 31. Let u(z) = j(z) + 5*t(z). Determine f so that u(f) = 0.
-3, -2
Let h(c) be the third derivative of -c**6/120 + c**5/120 + 2*c**2. Factor h(s).
-s**2*(2*s - 1)/2
Suppose 32/3 + 2/3*p**3 + 16*p + 6*p**2 = 0. Calculate p.
-4, -1
Let j(p) be the first derivative of -5*p**6/6 - 4*p**5 - 25*p**4/4 - 10*p**3/3 - 1. Factor j(h).
-5*h**2*(h + 1)**2*(h + 2)
Let u(s) be the first derivative of -4*s - 2/3*s**3 + 3*s**2 - 1. Factor u(n).
-2*(n - 2)*(n - 1)
Factor 0 + 2/5*k + 2/5*k**2 - 8/5*k**5 + 22/5*k**4 - 18/5*k**3.
-2*k*(k - 1)**3*(4*k + 1)/5
Let j = 177585 + -1600486/9. Let z = j - -247. Factor -2/9*c**2 + 0 - z*c**3 + 2/9*c**4 + 2/9*c.
2*c*(c - 1)**2*(c + 1)/9
Let q(v) = -3*v**3 - 5*v**2 - 7*v + 5. Let o(p) = 61*p**3 + 66*p**3 - 129*p**3 + 3 - 4*p - 3*p**2. Let t(l) = 5*o(l) - 3*q(l). Factor t(g).
-g*(g - 1)*(g + 1)
Factor 9/2*z - 3/4*z**2 - 27/4.
-3*(z - 3)**2/4
Let f = -151/4355 + 8/201. Let u(m) be the second derivative of 0 + 0*m**3 + 1/130*m**5 + 2*m - f*m**6 + 0*m**4 + 0*m**2. Solve u(l) = 0 for l.
0, 1
Let x(l) = -3*l**3 + 13*l**2 + 3*l. Let m(w) = -w**3 + 6*w**2 + 2*w. Suppose -s + 25 = -6*s. Let p(a) = s*m(a) + 2*x(a). Find o, given that p(o) = 0.
-2, 0
Let w be (-4)/(-2) - ((-882)/56)/(-9). Let i be 0 + 0*(-1)/2. Factor 0 + w*c**3 + 0*c**2 + i*c.
c**3/4
Let v(n) = n**3 + n**2 + 1. Let f(c) = 5*c**4 + 18*c**3 + 29*c**2 + 20*c. Let h(q) = f(q) + 4*v(q). Factor h(k).
(k + 1)**2*(k + 2)*(5*k + 2)
Let m(h) be the second derivative of h**6/40 - 3*h**5/10 + 3*h**4/2 - 4*h**3 + 6*h**2 - 5*h. Factor m(q).
3*(q - 2)**4/4
Let f(q) be the third derivative of q**9/30240 + q**8/5760 - q**7/5040 - q**5/20 + q**2. Let l(r) be the third derivative of f(r). Factor l(a).
a*(a + 2)*(4*a - 1)/2
Let b(g) = -16*g - 1. Let j(s) = 3*s. Let w(r) = 2*b(r) + 11*j(r). Let y be w(6). Find h such that 1/6*h**5 + 0*h + 1/6*h**3 + 0*h**2 + 0 + 1/3*h**y = 0.
-1, 0
Let a(w) = -35*w**4 - 13*w**3 + 167*w**2 - 155*w + 36. Let u(f) = 17*f**4 + 7*f**3 - 83*f**2 + 77*f - 18. Let y(o) = 2*a(o) + 5*u(o). Factor y(t).
3*(t - 1)**2*(t + 3)*(5*t - 2)
Let h = 29 - 24. Let x(b) = -b**4 - 4*b**3 - b**2. Let z(s) = 3*s**4 + 9*s**3 + 3*s**2. Let u(a) = h*x(a) + 2*z(a). Factor u(k).
k**2*(k - 1)**2
Let p(m) = m**4. Let k(v) be the first derivative of -4*v**5/5 + v**4 + 14*v**3/3 + 4*v**2 - 2. Let n(c) = 2*k(c) + 4*p(c). Factor n(b).
-4*b*(b - 4)*(b + 1)**2
Let p(j) = 8*j. Let y be p(1). Suppose 6*l - y = 2*l. What is f in 6*f**3 + 0*f - 3*f**4 - l*f - f**4 = 0?
-1/2, 0, 1
Let j = 2/19 - -24/133. Factor 4/7*n + j + 2/7*n**2.
2*(n + 1)**2/7
Let n = -1/224 - 575/224. Let q = 20/7 + n. Find t such that 2/7*t**3 + 0*t - q*t**5 + 0 - 2/7*t**4 + 2/7*t**2 = 0.
-1, 0, 1
Let g(r) = -19*r**4 - 88*r**3 - 43*r**2 + 30*r - 4. Let h(s) = 18*s**4 + 87*s**3 + 42*s**2 - 30*s + 3. Let z(x) = 3*g(x) + 4*h(x). Find t such that z(t) = 0.
-5, -1, 0, 2/5
Let m(f) = f - 2. Let n be m(2). Let 1/4*p**2 + 1/2*p + n = 0. What is p?
-2, 0
Suppose 2*q = 4*d - 0*d + 22, -29 = 5*d - q. Let s be (-1)/(-6) - 35/d. Let -2*g**2 + 2 + 0*g**3 + 2 - s*g**3 - 2*g**4 + 6*g = 0. What is g?
-2, -1, 1
Let z(v) be the third derivative of -v**7/735 + v**6/420 + v**5/210 - v**4/84 + v**2. Factor z(r).
-2*r*(r - 1)**2*(r + 1)/7
Let -3*r + 2 - r**2 - 5 + 1 = 0. What is r?
-2, -1
Let c(d) be the second derivative of -d**6/120 + d**5/16 - d**4/16 - 3*d**3/8 + 20*d. Suppose c(q) = 0. Calculate q.
-1, 0, 3
Let r(q) be the second derivative of -1/30*q**6 + 1/10*q**5 - 1/12*q**4 + 0*q**2 + 0 - 4*q + 0*q**3. Factor r(y).
-y**2*(y - 1)**2
Let h(v) = v**3 + 3*v**2 - 3*v - 3. Let l be h(-3). Suppose -9*s = -l*s. Let 0*i + 2/7*i**5 - 2/7*i**4 - 2/7*i**3 + 2/7*i**2 + s = 0. Calculate i.
-1, 0, 1
Let k be 12/9*2 - 6/(-18). Let q(a) be the third derivative of 0*a - 1/3*a**k - 1/30*a**5 - 1/6*a**4 + 0 + 3*a**2. Find y such that q(y) = 0.
-1
Let d(l) = -4*l**3 - 2*l**2 + 4 + 3*l**3 + 2*l**3 + l**3. Let s(b) = b**3 - b**2 + 1. Let j(p) = d(p) - 4*s(p). Factor j(m).
-2*m**2*(m - 1)
Suppose -15 = -4*y + 1. Let g(j) = 2*j**2 - 6*j. Let n be g(y). Factor -24*s**3 - 10*s**2 + 18*s**4 + 8*s - n + 10*s + 6*s.
2*(s - 1)*(s + 1)*(3*s - 2)**2
Suppose -r = 3*t - 25, -3*t + 4*r + 23 = 3*r. Suppose t*v - 3*v = 0. Factor v + 2/9*u**2 + 0*u.
2*u**2/9
Suppose -5*g = 5*q - 15, 6*g - 11 = 2*g - 5*q. Let p be 0 - (-32)/6 - g. Factor -p - 2/3*l + 2/3*l**2.
2*(l - 2)*(l + 1)/3
Suppose 4*q = 6*q. Suppose -7*z + 8*z = q. Suppose 4/3*f**3 + 0*f + 14/3*f**4 + z + 0*f**2 = 0. What is f?
-2/7, 0
Let i(q) = q**3 + 15*q**2 + 15*q + 14. Let m be i(-14). Find d such that -6/5*d**3 + 2/5*d + 4/5*d**2 + m = 0.
-1/3, 0, 1
Let y = -5 - 0. Let t be (5 + y)*(-2)/(-4). Find d, given that -1/2*d**2 + t + 1/2*d = 0.
0, 1
Let k be (0 + (3 - 2))*(-4)/(-2). Factor -1/2*s**2 - 2 - k*s.
-(s + 2)**2/2
Suppose 3*y = -28 - 26. Let z be (y/15)/(-2)*1. Solve -2/5 - z*c**2 + 7/5*c + c**4 - 7/5*c**3 = 0.
-1, 2/5, 1
Let d be 3/2*60/135. Solve d*p - 2/3 + 2/3*p**2 - 2/3*p**3 = 0.
-1, 1
Let b(w) be the third derivative of w**7/525 - w**6/75 + w**5/25 - w**4/15 + w**3/15 - 25*w**2. Let b(o) = 0. What is o?
1
Let o(f) be the first derivative of f**4/8 + f**3/2 + 3*f**2/4 - f + 1. Let z(h) be the first derivative of o(h). Factor z(b).
3*(b + 1)**2/2
Let f(l) be the first derivative of 4 + 0*l**2 + 1/20*l**5 + 0*l - 1/16*l**4 - 1/6*l**3. Solve f(m) = 0 for m.
-1, 0, 2
Factor -9/2*d + 6 - 21/2*d**2.
-3*(d + 1)*(7*d - 4)/2
Let m(a) be the third derivative of a**9/3024 - a**7/840 - 2*a**3/3 - a**2. Let z(q) be the first derivative of m(q). Factor z(d).
d**3*(d - 1)*(d + 1)
Let d(r) be the third derivative of r**7/3360 + r**6/720 - r**3/6 - 2*r**2. Let c(b) be the first derivative of d(b). Solve c(w) = 0.
-2, 0
Suppose -m - 4 = 0, -4*m - 61 = -i - 4*i. Let o be (-8)/(-3) - 6/i. Factor d**2 - 2*d**o - 2*d**3 + 2*d + d**2.
-2*d*(d - 1)*(d + 1)
Let i = 5083/7 - 725. Let q be (-24)/(-14) - (-1 - -1). Let -2/7*y**4 - i*y - 8/7*y**3 - 2/7 - q*y**2 = 0. What is y?
-1
Factor 4*b**2 + b - 8*b - 6*b + 12 - 3*b.
4*(b - 3)*(b - 1)
Let b be 8/(-10)*(-95)/38. Factor 0 - l**4 - 2*l**b + 5/2*l**3 + 1/2*l.
-l*(l - 1)**2*(2*l - 1)/2
Factor 0 - 4*u**2 - 2*u - 3/2*u**3.
-u*(u + 2)*(3*u + 2)/2
Let m(u) be the first derivative of 3 + 1/20*u**5 + 5/8*u**2 - 1/4*u**3 - 1/2*u - 1/16*u**4. Factor m(i).
(i - 1)**3*(i + 2)/4
Suppose -4 = 11*c - 59. Let m(f) be the second derivative of -1/35*f**7 + 0 - 27/100*f**c + 0*f**2 + 1/4*f**4 + 3*f - 1/10*f**3 + 7/50*f**6. Factor m(n).
-3*n*(n - 1)**3*(2*n - 1)/5
Let y = -9 + 12. Determine s, given that -2*s**4 - 9*s**3 - 3*s - 9*s**2 - y*s**4 + 2*s**4 = 0.
-1, 0
Factor 3/4*o - 3/4*o**3 - 3/4*o**4 + 3/4*o**2 + 0.
-3*o*(o - 1)*(o + 1)**2/4
Suppose -15*k = -16*k. Find n, given that k*n - 2/5*n**2 + 2/5 = 0.
-1, 1
Suppose 4*z - o = 6, -2 = -2*z + 3*o - 2*o. Find i, given that i**4 + 3*i**3 + i**4 - 3*i**3 - z*i**2 = 0.
-1, 0, 1
Let d(f) = -f + 4. Let t be d(6). Let n be t + (-13 + 1)/(-3). Find z such that n + 2*z**2 + 0 - 4*z**2 = 0.
-1, 1
Let i(v) be the third derivative of v**7/280 - 3*v**6/160 + v**5/80 + 3*v**4/32 - v**3/4 - 18*v**2. Factor i(s).
3*(s - 2)*(s - 1)**2*(s + 1)/4
Let m be 1 - (2/(-8) - (-30)/(-8)). What is j in 8/3*j**2 - 6*j**4 + 0*j - 9*j**m + 0 + 4*j**3 = 0?
-2/3, 0, 2/3
Let -3/2*y + 0*y**2 + 0 + 0*y**4 - 3/2*y**5 + 3*y**3 = 0. What is y?
-1, 0, 1
Let n = -16/5 + 18/5. Find z such that -4/5*z**3 - n*z**2 - 2/5*z**4 + 0*z + 0 = 0.
-1, 0
Let m(a) = -a**3 - a**2 - a - 10. Let b be m(0). Let k be -2 + (-1 - b - 2). Suppose -k*d - d**3 - 2 - 4*d**2 - d**3 + d**3 = 0. What is d?
-2, -1
Let z be 74/24 + -6 + 3. Let k(h) be the first derivative of -1/4*h + z*h**3 - 2 + 0*h**2. What is n in k(n) = 0?
-1, 1
Let q(o) = 2 - 26*o - 12 + 23*o. Let w be q(-8). Determine g so that 2*g + g**5 + 7*g**2 - 3*g**3 - w*g**2 - 5*g**4 + 12*g**3 = 0.
0, 1, 2
Let a = 5 + 27. Let u be (-19)/(-40) + 4/a. Factor -3/5*d**2 - 3/5*d**3 + 0 + 3/5*d**5 + 0*d + u*d**4.
3*d**2*(d - 1)*(d + 1)**2/5
Suppose r = -2*r. Let t(g) be the first derivative of 2/15*g**3 + r*g**2 - 2/5*g - 2. Determine a so that