3*g**t = 0 for g.
0
Let w = 3 - -1. Suppose -w - 6 = -2*u. Let 86/3*a**2 - 22/3*a - 32/3*a**u - 146/3*a**3 + 2/3 + 112/3*a**4 = 0. What is a?
1/4, 1
Suppose 2*f - 3*p - 22 = -9, 8 = 2*f + 2*p. Let u(o) be the second derivative of 1/3*o**3 - 1/15*o**6 + o + 0 - 1/10*o**f + 1/4*o**2 + 1/8*o**4. Solve u(z) = 0.
-1, -1/2, 1
Let k = -144/13 - -445/39. Factor 1/3*f + k*f**2 - 2/3.
(f - 1)*(f + 2)/3
Let i(k) be the first derivative of k**6/27 + 2*k**5/45 - k**4/18 - 2*k**3/27 - 49. Factor i(w).
2*w**2*(w - 1)*(w + 1)**2/9
Let q(h) = h**3 + 6*h**2 - 8*h - 4. Let z be q(-7). Find i such that 3/4*i**z - 1/4*i**2 + 1/4*i**4 - 1/4*i**5 - 1/2*i + 0 = 0.
-1, 0, 1, 2
Suppose 4*k - 12 = -0*k. Factor 2*i**4 + i + i**2 + 2*i**k - 3*i**2 - 3*i.
2*i*(i - 1)*(i + 1)**2
Let y(l) = -l**2 + 4. Let s be y(2). Factor s + m - 1/2*m**2.
-m*(m - 2)/2
Let f be 2/(-9)*321/(-428). Factor f + 1/2*j + 0*j**2 - 2/3*j**3.
-(j - 1)*(2*j + 1)**2/6
Let g(u) be the third derivative of -1/420*u**7 + 0*u**4 + 0 - u**2 - 1/60*u**5 + 1/80*u**6 + 0*u + 0*u**3. Factor g(a).
-a**2*(a - 2)*(a - 1)/2
Let a(j) = -j - 3. Let x be a(-7). Suppose 7 = -h + 4*h - s, 13 = x*h - 5*s. What is q in -q**h - 5*q**2 + 2*q + 5*q**2 = 0?
0, 2
Let d(f) be the second derivative of f**4/66 - 8*f**3/33 + 7*f**2/11 - 17*f. Factor d(p).
2*(p - 7)*(p - 1)/11
Let c(h) be the first derivative of -h**5/20 + h**4/4 - h**3/4 - 17. Determine f so that c(f) = 0.
0, 1, 3
Let a(d) be the first derivative of 3*d**5 - 25*d**4/4 + 10*d**3/3 - 16. Factor a(r).
5*r**2*(r - 1)*(3*r - 2)
Let q be (-2)/(-10) + 1/(-5). Let z(o) be the second derivative of q*o**3 - 1/48*o**4 - o + 0 + 1/8*o**2. Factor z(u).
-(u - 1)*(u + 1)/4
Let w(d) be the first derivative of d**7/21 - d**6/15 - d**5/10 + d**4/6 - 3*d + 2. Let q(h) be the first derivative of w(h). Let q(m) = 0. What is m?
-1, 0, 1
Let u be (3 + -3)/3 - -5. Let o be 0/(u/(10/4)). Factor 0 + o*i + 1/2*i**2.
i**2/2
Let y(i) = i - 1. Let q(d) = 4*d**3 - 4*d**2 - 3*d - 5. Let m(w) = q(w) - 5*y(w). Let m(r) = 0. What is r?
-1, 0, 2
Let a(k) = -4*k**3 + k**2 + 2*k. Let l be a(-1). Factor -5*u - u**4 + 8*u + 2*u**2 + u**2 - 3*u**l - 2*u**4.
-3*u*(u - 1)*(u + 1)**2
Let m(o) = -o**2 - 5*o - 2. Let g be m(-4). Factor -g*n**4 + 5*n**2 + 3*n - 2*n**4 - 1 - 3*n**3 + 0*n**4.
-(n - 1)*(n + 1)**2*(4*n - 1)
Factor -20 - 144*j**3 - 142*j**3 + 15*j**2 + 266*j**3 + 5*j**4 + 20*j.
5*(j - 2)**2*(j - 1)*(j + 1)
Let z(v) be the second derivative of v**6/165 + v**5/55 - 12*v. Factor z(u).
2*u**3*(u + 2)/11
Let q = 6 - 53/9. Let a(j) be the first derivative of 1 + 0*j - q*j**6 + 0*j**2 - 4/27*j**3 - 7/18*j**4 - 16/45*j**5. Solve a(t) = 0 for t.
-1, -2/3, 0
Solve -d**2 - 3*d**2 + d**4 - 2*d**4 - 4*d**3 + 8*d**2 + d**5 = 0 for d.
-2, 0, 1, 2
Let r(t) be the first derivative of t**6/2 + 6*t**5/5 - 2*t**3 - 3*t**2/2 + 31. Factor r(d).
3*d*(d - 1)*(d + 1)**3
Let x(m) be the first derivative of 8/5*m - 14/15*m**3 + 2 - 12/5*m**2. What is k in x(k) = 0?
-2, 2/7
Let p(k) be the third derivative of 0*k + 4/3*k**3 + 1/3*k**4 + 0 + 1/30*k**5 - 2*k**2. Let p(g) = 0. Calculate g.
-2
Let x(f) be the third derivative of f**7/70 - f**6/20 - f**5/20 + f**4/4 + 9*f**2. Suppose x(j) = 0. What is j?
-1, 0, 1, 2
Let t(u) = -35*u**2 + 120*u - 435. Let n(p) = p**2 - p + 1. Let o(x) = -30*n(x) - t(x). Factor o(q).
5*(q - 9)**2
Let d(c) = -c**3 - 16*c**2 - 15*c + 2. Let x be d(-15). Factor 2 - 4*g**x - 16*g - 10 - 6 + 2.
-4*(g + 1)*(g + 3)
Let x be 3/2*20/(-15). Let c be ((-51)/15 + 3)/x. Factor 0*a + c*a**4 + 0*a**2 + 0 + 0*a**3.
a**4/5
Let c(p) = 3*p**5 - 7*p**4 - 5*p**3 + 3*p**2 + 2*p - 2. Let t(v) = -v**4 + v**3 - v**2 - v. Let l(n) = 2*c(n) - 6*t(n). Find k, given that l(k) = 0.
-1, 1/3, 1, 2
Let q = 542 - 541. Factor -2*y**2 + 1/2*y**3 - q + 5/2*y.
(y - 2)*(y - 1)**2/2
Suppose -a = 8 - 28. Let x be -4 - ((-92)/a - 1). Suppose -8/5*z + x - 6/5*z**2 = 0. Calculate z.
-2, 2/3
Let z(v) be the third derivative of v**5/390 - v**4/156 + 4*v**2. Factor z(i).
2*i*(i - 1)/13
Let k(v) = -v**2 - v - 2. Let o be k(0). Let u be (-12)/o*(-5)/(-105). Factor u*g**5 - 4/7*g**2 + 2/7 + 2/7*g - 4/7*g**3 + 2/7*g**4.
2*(g - 1)**2*(g + 1)**3/7
Let u(a) be the second derivative of a**9/6048 - a**7/840 + a**5/240 - a**3/2 + 2*a. Let r(b) be the second derivative of u(b). Factor r(x).
x*(x - 1)**2*(x + 1)**2/2
Let d be (-12)/(-4) - 2 - -3. Factor 9*t**d + t**3 + 3*t**3 + 12*t**4 - 7*t**4.
2*t**3*(7*t + 2)
Let d(n) be the second derivative of -2*n**2 - n + 0*n**3 + 1/4*n**4 + 1/20*n**5 + 0. Factor d(u).
(u - 1)*(u + 2)**2
Let g = 293/70 + -39/10. Suppose 0*q**3 + 0*q**2 + 0 - 2/7*q**5 - g*q**4 + 0*q = 0. Calculate q.
-1, 0
Let d(p) be the second derivative of -p**8/6720 + p**6/720 - 7*p**4/12 - 4*p. Let i(k) be the third derivative of d(k). Factor i(c).
-c*(c - 1)*(c + 1)
Let v be (-2 - 0)/10*-1. Determine q, given that -2/5*q**4 + 2/5*q**2 + 1/5*q + 0*q**3 + 0 - v*q**5 = 0.
-1, 0, 1
Suppose -4*o - 180 = -4*j, 22 = -5*o + 2*j - 206. Let b be o/(-14) - 2/7. Factor 2/5*l**b + 0*l + 0 - 2/5*l**5 + 2/5*l**4 - 2/5*l**2.
-2*l**2*(l - 1)**2*(l + 1)/5
Let a = -4 + 8. Let x = -2 + a. Solve -l - x*l + l - 3*l**2 - l**4 + 6*l**2 = 0.
-2, 0, 1
Let f be 15*(-7)/21 + 7. Factor 4/3 - 2*b - 4/3*b**f.
-2*(b + 2)*(2*b - 1)/3
Factor 0*u - 2*u - u**2 + 2*u - u.
-u*(u + 1)
Let c(w) be the third derivative of w**5/270 - 2*w**4/27 + 7*w**3/27 + 11*w**2 + w. Determine n so that c(n) = 0.
1, 7
Let t(a) be the first derivative of -1 + 2/5*a + 0*a**2 - 2/15*a**3. Factor t(l).
-2*(l - 1)*(l + 1)/5
Let b = -2/862339 + -1653932/30503517447. Let j = 5305936/247611 - b. Let -8/7 + 24/7*i + 26/7*i**2 - 50/7*i**5 - 142/7*i**3 + j*i**4 = 0. What is i?
-2/5, 2/5, 1
Let y = -1/59 + 123/295. Suppose 5*f - 82 = -72. What is w in -4/5*w**3 + 4/5*w - 2/5*w**4 + 0 + y*w**f = 0?
-2, -1, 0, 1
Let t(v) be the second derivative of 9*v**5/70 - 19*v**4/28 + 15*v**3/14 - 3*v**2/7 - 24*v. Solve t(x) = 0 for x.
1/6, 1, 2
Let y = -1442 + 7214/5. Factor 1/5 + y*s + 3/5*s**2.
(s + 1)*(3*s + 1)/5
Let p(c) be the first derivative of 0*c**2 + 5 + 4/25*c**5 + 0*c - 1/5*c**4 - 8/15*c**3. Factor p(d).
4*d**2*(d - 2)*(d + 1)/5
Let n be (-6)/(-5) + (-4)/10. Let c be (-8)/(-24) + 14/30. Factor n*w + 1/5*w**2 + c.
(w + 2)**2/5
Let x(n) be the first derivative of n**4/14 - 4*n**3/7 + 9*n**2/7 - 12. Find t such that x(t) = 0.
0, 3
Factor -12*v**3 + 370*v + 9 - 174*v + 21*v**2 - 154*v.
-3*(v - 3)*(v + 1)*(4*v + 1)
Let b(j) = 5*j**2 - 6*j - 11. Let i(g) = -2*g**2 + 3*g + 5. Let c(m) = -3*b(m) - 7*i(m). Factor c(k).
-(k + 1)*(k + 2)
Suppose 5*j - 2*j = 9. Suppose 6*o = 3*o + 288. Factor o*t - 16 - 25*t**4 - 24*t**4 - 88*t**2 - 73*t**j - 95*t**3.
-(t + 2)**2*(7*t - 2)**2
Let z be (-2380)/1185 + (0 - -2). Let q = 464/1185 - z. Factor 0*k + 2/5*k**2 - q.
2*(k - 1)*(k + 1)/5
Let y(k) = -k**2 + 5*k + 2. Let c(o) = -2*o**2 + 16*o + 7. Let d(t) = -4*c(t) + 11*y(t). Factor d(v).
-3*(v + 1)*(v + 2)
Let s be 0/(-3*(-2)/(-6)). Let x(m) be the second derivative of 0 + 1/9*m**3 + 0*m**2 + 0*m**4 + 1/63*m**7 + s*m**6 + 2*m - 1/15*m**5. Factor x(b).
2*b*(b - 1)**2*(b + 1)**2/3
Suppose 2*v + 0*v - i = 2, 8 = 4*i. Determine z so that -2*z - 2*z**2 + 2*z**2 - v*z**2 = 0.
-1, 0
Suppose -2*c - 1 + 5 = -j, 4*c - j = 10. Let -2/11 + 4/11*k**2 + 0*k - 2/11*k**4 + 0*k**c = 0. Calculate k.
-1, 1
Factor -1/2 - 3/4*n + n**3 + 1/2*n**2 - 1/4*n**5 + 0*n**4.
-(n - 2)*(n - 1)*(n + 1)**3/4
Let m be (640/(-105))/(-4) - (-2)/(-3). Determine x, given that -9/7 - m*x - 1/7*x**2 = 0.
-3
Let x be 10/6 + -1 + 0. Suppose -6*y + 3*y = -5*k - 12, 2*k = -3*y + 12. Factor -2/3*f**3 + k + 0*f - x*f**2.
-2*f**2*(f + 1)/3
Determine q, given that -5/6*q + 1/6*q**3 + 1/2 + 1/6*q**2 = 0.
-3, 1
Let s(q) be the first derivative of -q**4/4 - 2*q**3/3 + 3. Solve s(h) = 0 for h.
-2, 0
Let c(u) = -4*u**3 + u**2 + u - 4. Let h(l) = l**3 + 1. Let t(z) = -6*c(z) - 26*h(z). Let t(d) = 0. Calculate d.
-1
Let w(d) be the second derivative of 1/147*d**7 + 0 - 2/35*d**5 + 0*d**6 - 1/21*d**4 + 1/7*d**3 + 4*d + 2/7*d**2. Factor w(r).
2*(r - 2)*(r - 1)*(r + 1)**3/7
Let z(v) be the first derivative of -3/7*v**4 - 4/7*v**3 - 2/7*v**2 - 4/35*v**5 + 0*v - 8. Find y, given that z(y) = 0.
-1, 0
Let f(t) = -3*t**3 + 4*t**2 - 4*t - 4. Let a(y) = y**3 - 2*y**2 + 2*y + 2. Let d(v) = 7*a(v)