**2 - 3/5 - 4/5*t = 0 for t.
-3, -1
Suppose -2*m + 6*m - 8 = 0. Find h, given that -3*h**m - 12*h - 64 - 20*h + 3*h**2 - 4*h**2 = 0.
-4
Let y be ((-25)/15)/(2/(-6)). Let t = -3 + y. Factor -3*m**2 - m**4 - 3*m**3 + 6*m**2 - m + 0*m**3 + t*m**4.
m*(m - 1)**3
Let k(m) = m**3 - 8*m**2 - 7*m - 6. Let n be k(9). Let w be -4 - 1*(-52)/n. Suppose w*b**2 + 3 - 2*b = 0. What is b?
3
Let c be (-2)/(5/(-3) - -1). Factor 5*s**2 - s - 5*s**3 + s**c + 3*s**4 - 3*s**3.
s*(s - 1)**2*(3*s - 1)
Let c(n) = -n**4 - n**3 - n - 1. Let z(o) = 5*o**4 + 11*o**3 + 3*o + 9. Let m(f) = 14*c(f) + 2*z(f). Let m(q) = 0. Calculate q.
-1, 1
Let y(c) be the second derivative of 0 + 2*c**2 + 3*c - 1/6*c**4 + 1/3*c**3. Factor y(x).
-2*(x - 2)*(x + 1)
Let c(a) be the first derivative of 3 + 1/2*a**4 + 0*a**3 + 0*a + 0*a**2. Suppose c(v) = 0. What is v?
0
Let u(n) be the first derivative of n**3/3 + 3*n**2 + 9*n + 12. Determine t, given that u(t) = 0.
-3
Let y(i) be the first derivative of -3*i**4/16 + i**3/4 - 5. Factor y(j).
-3*j**2*(j - 1)/4
Let l = -27 + 43. Suppose 0 = -4*a + 16, -l = -5*g - 3*a - a. Let -4/5*v**4 - 2/5*v**3 + 0*v - 2/5*v**5 + 0 + g*v**2 = 0. What is v?
-1, 0
Let c be (6/(-1))/(12/16). Let y(w) = w + 10. Let f be y(c). Suppose 1/2*r**f + r + 1/2 = 0. Calculate r.
-1
Solve -1/2 + 1/2*b + 39/8*b**2 - 37/4*b**3 + 35/8*b**4 = 0 for b.
-2/7, 2/5, 1
Let v(c) = -c**4 - c**2 - c + 1. Let m(d) = 6*d**4 - 2*d**3 + 4*d - 4. Let h(l) = -m(l) - 4*v(l). Determine w, given that h(w) = 0.
-1, 0, 2
Suppose 4*h + 25 = 33. Let q = -28/11 + 296/99. Factor -2/9*r - 8/9*r**h + 0 - q*r**4 - 10/9*r**3.
-2*r*(r + 1)**2*(2*r + 1)/9
Let c(d) be the third derivative of 0*d - 3*d**3 - 1/30*d**5 + 0 + 1/2*d**4 - 4*d**2. Suppose c(x) = 0. Calculate x.
3
Let f(w) be the first derivative of w**6/12 - w**4/4 + w**2/4 + 4. Factor f(i).
i*(i - 1)**2*(i + 1)**2/2
Solve 6/13*u**2 - 4/13*u - 6/13*u**4 - 4/13*u**5 + 0 + 8/13*u**3 = 0.
-2, -1, 0, 1/2, 1
Suppose 3*k - 21 + 3 = 0. Factor 3*x**4 - k*x**2 + x**3 + 3*x**2 + x**3 - 2*x.
x*(x - 1)*(x + 1)*(3*x + 2)
Suppose 3*p - 16 = -p, 4*l - p = 12. Let h(s) be the third derivative of 0*s - 1/180*s**5 - 2*s**2 + 0*s**3 + 0*s**l + 0 + 1/360*s**6. Factor h(m).
m**2*(m - 1)/3
Let k = -475 + 475. Find b such that 2/9*b - 4/9*b**2 + k + 2/9*b**3 = 0.
0, 1
Let b(p) be the second derivative of -p**4/6 + p**3 - 2*p**2 - 19*p. What is h in b(h) = 0?
1, 2
Let w(z) = z**3 - 3*z**2 - z - 3. Let a be w(3). Let f be 18/30*(-2)/a. Factor 1/5*l - 1/5 + 1/5*l**2 - f*l**3.
-(l - 1)**2*(l + 1)/5
Let k(h) be the first derivative of -h**6/3 - 28*h**5/5 - 69*h**4/2 - 280*h**3/3 - 100*h**2 + 67. Solve k(r) = 0 for r.
-5, -2, 0
Factor -3/4*q**4 - 27/4*q**2 - 3/2 + 21/4*q + 15/4*q**3.
-3*(q - 2)*(q - 1)**3/4
Let j(k) be the third derivative of k**7/420 - k**6/90 + k**3/3 - k**2. Let n(p) be the first derivative of j(p). Determine d, given that n(d) = 0.
0, 2
Let w = -32/9 - -214/45. What is k in -6/5*k**4 + 2/5*k**5 + w*k**3 + 0 + 0*k - 2/5*k**2 = 0?
0, 1
Let w be (-58)/80 + 6/8. Let m(f) be the second derivative of 1/2*f**2 + 5/12*f**3 + w*f**5 + 0 + 1/6*f**4 + f. Suppose m(x) = 0. What is x?
-2, -1
Factor 1/2*f**3 + 0*f - f**2 + 0.
f**2*(f - 2)/2
Let o = 7673/16 + -480. Let x = -31/144 - o. Solve -8/9*b - 8/9 - x*b**2 = 0 for b.
-2
Let n(x) be the third derivative of -2*x**2 + 0*x + 1/80*x**5 + 1/96*x**4 + 0*x**3 + 0 - 1/120*x**6. Factor n(z).
-z*(z - 1)*(4*z + 1)/4
Let b(o) be the first derivative of -12*o**5/5 + 25*o**4 - 32*o**3/3 + 59. Determine j, given that b(j) = 0.
0, 1/3, 8
Let v(x) be the second derivative of -9*x**4/4 + 3*x**3/2 - 3*x**2/8 + 3*x. Factor v(k).
-3*(6*k - 1)**2/4
Factor 27*o**2 + 46 - 7*o**2 - 18*o - 27*o - 36.
5*(o - 2)*(4*o - 1)
Factor 15*p + 40*p**2 + 12 - 19*p**2 - 18*p**2.
3*(p + 1)*(p + 4)
Let w(b) be the first derivative of -b**4/6 + b**3 - 2*b**2 - 3*b - 3. Let m(h) be the first derivative of w(h). Factor m(d).
-2*(d - 2)*(d - 1)
Let d be 1092/(-90) - (3 - 0). Let b = 46/3 + d. Find y such that b*y**2 - 1/5*y + 0 = 0.
0, 1
Let p(b) be the second derivative of -1/5*b**5 + 2/3*b**3 - b**2 + 0 + 0*b**4 - 3*b + 1/15*b**6. Factor p(x).
2*(x - 1)**3*(x + 1)
Suppose 7*h - 21 = 4*h. Factor -5 + h + 3*a**2 - 5.
3*(a - 1)*(a + 1)
Factor 0 - 2/7*h**3 + 4/7*h**2 - 2/7*h.
-2*h*(h - 1)**2/7
Let o be (-1)/(15/(-10)*4/6). Let m(n) = -n**2 + 4*n + 7. Let c be m(5). Factor -o - c*a - 1/4*a**3 - 5/4*a**2.
-(a + 1)*(a + 2)**2/4
Let r(w) be the first derivative of 5*w**5/8 - 5*w**4/6 + w**3/3 - 2*w + 1. Let n(q) be the first derivative of r(q). What is z in n(z) = 0?
0, 2/5
Let n(s) = 3 + 3*s + s**2 - 3*s**2 + 3*s**2. Let h be n(-3). Let 2*l**3 - 4*l**3 + 2*l**3 - 3*l**2 + 3*l - h*l**3 + 3 = 0. What is l?
-1, 1
Let f be 4/(4 + -3 + 0). Let s(o) be the first derivative of 0*o - o**2 + 7/3*o**3 - 3/4*o**f - 2. Factor s(c).
-c*(c - 2)*(3*c - 1)
Let k(r) be the first derivative of -1 + 3/2*r**2 - 2*r**3 + 0*r**4 + 0*r + 6/5*r**5 - 1/2*r**6. Factor k(f).
-3*f*(f - 1)**3*(f + 1)
Let m(q) = -q**3 + 3*q**2 + q + 1. Suppose 5*v = 13 - 3, 2*h = 3*v. Let l be m(h). Suppose -2*d**3 - 17*d - 3*d**l + 4*d**4 - 1 + 19*d = 0. Calculate d.
-1, 1
Suppose 3*y = -4*y + 28. Let o(j) be the second derivative of 3*j - 1/50*j**5 + 0*j**2 + 0*j**3 + 0*j**y + 1/105*j**7 + 0*j**6 + 0. Factor o(k).
2*k**3*(k - 1)*(k + 1)/5
Let y(o) = 2*o**2 - o. Let q(l) = -7*l**2 + 10*l + 8. Let m(t) = -2*q(t) - 6*y(t). Find c, given that m(c) = 0.
-1, 8
Let a(m) be the first derivative of 2*m**6 + 21*m**5/5 - 3*m**4/2 - 8*m**3 - 3*m**2 + 3*m + 8. Suppose a(o) = 0. What is o?
-1, 1/4, 1
Let a be ((-2)/9)/(36/(-108)). Factor a*j + 2/9*j**2 + 4/9.
2*(j + 1)*(j + 2)/9
Let m be 4 + -2 - (-5)/(-4). Suppose 8*a - 14*a = -12. Factor -5/4*n**3 + 0 + 1/2*n + m*n**a.
-n*(n - 1)*(5*n + 2)/4
Suppose 1 = -4*l + 13. Let o(x) be the second derivative of 7/90*x**5 + 4/135*x**6 + 1/27*x**4 + 0*x**2 + 2*x + 0 - 1/27*x**l. Factor o(y).
2*y*(y + 1)**2*(4*y - 1)/9
Factor -4/3 - 2/3*h + 2/3*h**2.
2*(h - 2)*(h + 1)/3
Let n = 1166 + -8159/7. Determine y, given that -9/7*y**3 + 9/7*y - 6/7 + n*y**2 + 3/7*y**4 = 0.
-1, 1, 2
Factor 3/4 - 3/2*q + 3/4*q**2.
3*(q - 1)**2/4
Factor 8000/7 + 1200/7*o + 1/7*o**3 + 60/7*o**2.
(o + 20)**3/7
Solve 1/3*k**5 + 5/3*k**4 + 0 + 0*k + 4/3*k**2 + 8/3*k**3 = 0 for k.
-2, -1, 0
Let x(p) be the third derivative of p**6/10 - 13*p**5/20 + 11*p**4/8 - p**3 + p**2. Let x(n) = 0. What is n?
1/4, 1, 2
Let k be (-36)/(-30) + 1 + (2 - 4). Factor 0*l**2 + 1/5*l**4 + 0 - k*l**3 + 0*l.
l**3*(l - 1)/5
Let m(i) be the third derivative of 3/40*i**5 - 3/16*i**4 + 3*i**2 + 1/4*i**3 - 1/80*i**6 + 0 + 0*i. What is z in m(z) = 0?
1
Suppose 0 = p - 5*j + 11, -5*p + p + 4*j = -4. Suppose -2*t = 5*d + 22 - 3, -p*t = -5*d - 37. Find n such that -n + 3 - n**t - 2*n**2 - 3 = 0.
-1, 0
Suppose 10*f - 50 = 8*f. Let m be (10/f)/((-3)/(-5)). Factor 2/3*v**4 + 4/3*v**3 - 2/3*v**5 - m*v - 4/3*v**2 + 2/3.
-2*(v - 1)**3*(v + 1)**2/3
Let s(n) = n. Let c(g) = 22*g - 1. Let l(q) = c(q) - 6*s(q). Let a be l(1). Solve j**2 - a*j + 9 - 2*j**3 - j**2 + 7*j**2 + j**3 = 0.
1, 3
Let i be ((-3)/(-1) + -2)*4. Suppose 4*f - 3*j - 17 = 0, -i*f + 1 = j - 4. Solve 3*s**2 - s**f + 0*s**2 + 2*s = 0.
-1, 0
Suppose 0 = -0*p - 2*p - 2. Let u be 0/(3 + 1/p). Factor 2/9*n + u + 2/9*n**2.
2*n*(n + 1)/9
Let t(j) be the first derivative of -2*j**5/25 - j**4/10 - 2. Factor t(a).
-2*a**3*(a + 1)/5
Let d = 296/273 + -2/273. Factor 12/13 - 36/13*i**2 + 10/13*i**3 + d*i.
2*(i - 3)*(i - 1)*(5*i + 2)/13
Let x(n) = 2*n**2 + 8*n + 2. Let f be x(-4). Let g(t) be the first derivative of -4/3*t**3 + 4/5*t**5 - 1/3*t**6 - f + 0*t + t**2 + 0*t**4. Factor g(s).
-2*s*(s - 1)**3*(s + 1)
Let o = 3/118 - -87/59. What is q in -o*q**2 - 1 + 5/2*q = 0?
2/3, 1
Let x(b) be the second derivative of -b**6/2520 - b**5/105 - 2*b**4/21 - 3*b**3/2 + 8*b. Let z(f) be the second derivative of x(f). Factor z(g).
-(g + 4)**2/7
Let y = 213/4 + -53. Factor 0*w + 0 - y*w**2.
-w**2/4
Let j(c) be the third derivative of -c**7/210 + 7*c**6/480 - c**5/120 - c**4/96 - 6*c**2. Suppose j(s) = 0. What is s?
-1/4, 0, 1
Let z(h) = -12*h**4 - 19*h**3 + 19*h**2 + 5*h + 7. Let x(b) = 4*b**4 + 6*b**3 - 6*b**2 - 2*b - 2. Let j(m) = -7*x(m) - 2*z(m). Let j(f) = 0. What is f?
-1, 0, 1
Factor 4/3*w + 0 + 2/3*w**