 r.
-2, 1
Let t(m) be the second derivative of 1/12*m**4 + 3/2*m**2 - 10*m - 2/3*m**3 + 0. Factor t(h).
(h - 3)*(h - 1)
Let a(q) be the third derivative of -9*q**7/140 - 11*q**6/80 - q**5/20 - 12*q**2. Solve a(i) = 0 for i.
-1, -2/9, 0
Let r = -2 - -2. Suppose 6 = 3*x - r. Find h, given that 2*h**x - 2*h**2 - 2*h**2 - 2*h**3 = 0.
-1, 0
Let -3*g + 11*g**2 - 9*g**2 + 0*g - 5*g**2 = 0. Calculate g.
-1, 0
Let f(c) = c**2. Let r(o) = -4*o**3 + 7*o**2 - 12*o + 4. Let z(y) = 5*f(y) + r(y). Determine m so that z(m) = 0.
1
Let -1/2*d**3 + 3/2*d - 2*d**2 + 9 = 0. Calculate d.
-3, 2
Let a(g) be the first derivative of 16*g**3/33 + 9*g**2/11 + 2*g/11 + 25. Factor a(w).
2*(w + 1)*(8*w + 1)/11
Let o = 14 + -11. Let w(z) = -z + 8. Let u be w(5). Factor o*c**2 + u*c**4 - 9*c**2 + 6 - 3.
3*(c - 1)**2*(c + 1)**2
Suppose 5*r - 9*r = 2*c - 22, -15 = -5*r. Let s = -102/35 + 16/5. Determine z so that -12/7*z**3 - s*z**c + 8/7*z**2 + 8/7*z**4 + 0 - 2/7*z = 0.
0, 1
Factor -1/2*z**2 + 0 + 3/2*z**5 + 5/2*z**4 + 1/2*z**3 + 0*z.
z**2*(z + 1)**2*(3*z - 1)/2
Let f(q) be the second derivative of -q**6/1800 - q**5/300 - q**3/6 + 3*q. Let b(m) be the second derivative of f(m). Suppose b(k) = 0. Calculate k.
-2, 0
Let f(q) be the third derivative of 0*q**3 + 0 - 2*q**2 + 0*q**4 - 1/30*q**5 + 0*q. Suppose f(m) = 0. Calculate m.
0
Let i(g) = g - 4. Let k be i(6). Let 3*f + f**k - f - 4*f = 0. What is f?
0, 2
Let k be (-6)/(-27) + 2*1/18. Suppose 0 + 0*p**2 - k*p + 1/3*p**3 = 0. What is p?
-1, 0, 1
Let l be 2 + -5 + 1 - -2. Suppose l*o + 2*o = -3*v, -2*o = 5*v - 4. Factor 2*j - 2 + 5 - 3 - v*j**2.
-2*j*(j - 1)
Suppose 0*i - 4*i = 32. Let q(k) = -6*k**3 + 2*k - 12. Let c(y) = y**3 - y**2 + y + 1. Let b(h) = i*c(h) - q(h). Factor b(f).
-2*(f - 2)*(f - 1)**2
Suppose s - 4*s + 40 = 5*v, 0 = -5*v - 2*s + 35. Factor 0 - 2/11*x**2 + 0*x - 6/11*x**4 - 2/11*x**v - 6/11*x**3.
-2*x**2*(x + 1)**3/11
Let m(j) be the third derivative of j**8/1344 - j**7/420 - j**6/160 + j**5/30 - j**4/24 + 16*j**2. Solve m(y) = 0.
-2, 0, 1, 2
Suppose 4*o - 4 = 2*o. Suppose -15*k**2 - 12 + 4*k**3 - 3*k**2 - o*k**2 + 28*k = 0. What is k?
1, 3
Let k(g) = -6*g**3 - 9*g**2 + 8*g + 7. Let j(f) = f**3 + f**2 - f - 1. Let r(l) = 14*j(l) + 2*k(l). Factor r(s).
2*s*(s - 1)**2
Let f(t) be the first derivative of 2*t**3/9 + t**2 + 4*t/3 + 5. Factor f(y).
2*(y + 1)*(y + 2)/3
Factor 3*a**2 + 3 - a + 1 - 4*a**2 - 2.
-(a - 1)*(a + 2)
Factor 7*m**4 + 3 - 11*m**4 - 8*m**3 - 3.
-4*m**3*(m + 2)
Suppose -2*c + 3 + 1 = 0. Let 0*s + 36 - 2*s**3 - 36 + c*s = 0. Calculate s.
-1, 0, 1
Let w(p) be the first derivative of -p**3/2 - 3*p**2/4 + 3*p + 6. Factor w(n).
-3*(n - 1)*(n + 2)/2
Let y = 940 + -27270/29. Let h = 128/203 + y. Solve 2/7 + 0*k - h*k**2 = 0 for k.
-1, 1
Let d = 5 - 9. Let l = 7 + d. Find z, given that 4*z + 21*z**4 - 5*z**3 - z**l - 21*z**2 + 7*z - 5*z = 0.
-1, 0, 2/7, 1
Let a(s) = -s**2 - 4*s + 7. Suppose -c = -4*q + 4*c - 45, -5*c = -q - 30. Let o be a(q). Let p + 2 - 3 + 0 - p**3 + p**o = 0. What is p?
-1, 1
Let o be (0/1)/(-10 + (10 - -1)). Let q(i) be the second derivative of 0*i**3 + o - 1/50*i**5 + 1/30*i**4 - 3*i + 0*i**2. Suppose q(c) = 0. Calculate c.
0, 1
Let i(o) = 8*o. Let p(l) = 7*l + 1. Let a(n) = 5*i(n) - 6*p(n). Let b be a(-4). Factor u**b - 1 + 3*u - 3*u.
(u - 1)*(u + 1)
Let j be 1/4 - (-22)/8. Solve u**3 + u - 3*u**2 - 3*u**2 + j*u**2 + u = 0 for u.
0, 1, 2
Let z = 436/7 - 62. Factor 0 + 4/7*v**4 + 0*v + 2/7*v**3 + 0*v**2 + z*v**5.
2*v**3*(v + 1)**2/7
Let k(m) be the second derivative of -5*m**7/42 + m**5/2 - 5*m**3/6 + 14*m. Factor k(b).
-5*b*(b - 1)**2*(b + 1)**2
Suppose 0 + 2/21*t**2 - 2/7*t = 0. Calculate t.
0, 3
Let j be (-2)/4*(2 + 14). Let s = -5 - j. Determine n so that 8*n**4 - 10*n**2 - 5 - 4*n**s - 2*n**3 + 7 + 6*n = 0.
-1, -1/4, 1
Let h be (9/(-12))/(7/4 + -2). Let n(b) be the second derivative of -1/6*b**4 + 2/3*b**h - b + 1/15*b**6 + 0 - 3/10*b**5 + 0*b**2 + 1/21*b**7. Factor n(u).
2*u*(u - 1)**2*(u + 1)*(u + 2)
Let n(a) = -3*a**2 + 10*a + 5. Let d(r) = 3*r**2 - 9*r - 6. Let u(z) = 4*d(z) + 3*n(z). Suppose u(i) = 0. What is i?
-1, 3
Let k(u) be the third derivative of 1/12*u**4 - 1/60*u**6 + 3*u**2 - 1/3*u**3 + 1/30*u**5 + 0 + 0*u. Factor k(c).
-2*(c - 1)**2*(c + 1)
Let t(x) be the third derivative of x**5/195 + 5*x**4/156 + 2*x**3/39 - 2*x**2. Determine h, given that t(h) = 0.
-2, -1/2
Suppose 3*k - 15 = 2*k - 4*g, -2*g = 0. Suppose k = -3*b - 5*w, -4*w - 1 = 11. Factor b*f + 0 + 0*f**3 - 1/4*f**4 + 1/4*f**2.
-f**2*(f - 1)*(f + 1)/4
Let q(r) = 3*r**2 + 3*r. Let l(g) = 3*g - 7*g**2 - 19*g - 9*g**2. Let k(u) = -2*l(u) - 11*q(u). Factor k(f).
-f*(f + 1)
Let f(q) be the third derivative of -q**7/120 + 2*q**6/45 - 11*q**5/120 + q**4/12 + q**3/3 + 6*q**2. Let l(v) be the first derivative of f(v). Factor l(n).
-(n - 1)**2*(7*n - 2)
Let k(l) be the third derivative of l**6/450 - l**5/450 - l**4/180 - 3*l**2. Let k(h) = 0. Calculate h.
-1/2, 0, 1
Let g be (27/30)/((-2)/(-10)). Let r(q) = -q**2 - 3*q + 1. Let k be r(-2). Factor g*w**2 + 0 + 7/2*w**k + w.
w*(w + 1)*(7*w + 2)/2
Let f be (2/4)/(6/(-456)). Let u be 6/(-24) - f/24. Factor -u*q + 4/3*q**3 - 2/3 + 0*q**2 + 2/3*q**4.
2*(q - 1)*(q + 1)**3/3
Let a = 1127 - 135239/120. Let g(t) be the second derivative of 1/48*t**4 - a*t**6 - 2*t + 0*t**2 - 1/80*t**5 + 1/168*t**7 + 0 + 0*t**3. Factor g(f).
f**2*(f - 1)**2*(f + 1)/4
Let l be ((-10)/(-24)*5/(-25))/(-1). Let f(m) be the second derivative of 0 + 0*m**3 + 0*m**2 - l*m**4 + 3*m. Let f(a) = 0. Calculate a.
0
Suppose 2*w - 1 = 5. Suppose -9*y**3 - 3*y**4 + 0*y**2 + 3*y**3 - w*y**2 = 0. Calculate y.
-1, 0
Let j = -9739 - -48908/5. Let f = -42 + j. Factor f*i**3 + 0*i + 3/5*i**4 + 0 + 0*i**2.
3*i**3*(i + 1)/5
Factor 5*v + 7/3 + 1/3*v**3 + 3*v**2.
(v + 1)**2*(v + 7)/3
Let f(k) be the second derivative of 0 + 0*k**2 + 0*k**4 - 1/15*k**3 - 3*k + 1/50*k**5. Factor f(x).
2*x*(x - 1)*(x + 1)/5
Let c(q) = q**3 - 5*q**2 - 6*q + 2. Let y be -1 + (-1)/((-2)/14). Let g be c(y). Determine r, given that -4*r**2 - 15*r - r**g - 6*r**2 - r**2 - 3 = 0.
-1, -1/4
Let r(z) be the first derivative of z**7/2520 - z**5/120 + z**4/36 + 2*z**3/3 + 4. Let h(p) be the third derivative of r(p). Suppose h(x) = 0. What is x?
-2, 1
Let k be 94/(-4) + 2/(-4). Let l be ((-1)/4)/(3/k). Suppose -2/9*u**l - 2/9 + 4/9*u = 0. What is u?
1
Suppose -3*u = 3*c - 6 - 30, 0 = 2*u - 8. Factor -c + 14*v**2 + 4*v - 8*v**3 - v**3 + 12*v - v**3.
-2*(v - 2)*(v + 1)*(5*v - 2)
Let a = 4/17 - 10/187. Factor a*x**2 + 8/11 - 16/11*x + 6/11*x**3.
2*(x - 1)*(x + 2)*(3*x - 2)/11
Let x(d) = -30*d**4 - 50*d**3 - 8*d**2 - 6*d - 6. Let n(k) = k**4 - k**3 - k - 1. Let m(a) = -6*n(a) + x(a). Factor m(f).
-4*f**2*(f + 1)*(9*f + 2)
Determine c so that 0*c**2 + 0*c + 0 + 1/7*c**4 - 1/7*c**3 = 0.
0, 1
Let t(b) = 0 - 2*b - 5 - 3 + 6. Let i be t(-2). Factor -1/2*v + 1/2*v**5 + 0*v**3 - v**i + v**4 + 0.
v*(v - 1)*(v + 1)**3/2
Let a = -5 - -7. Factor -5*t - 4*t**2 + t + 5*t**2 + t**a.
2*t*(t - 2)
Let n = 2 - 5. Let z = -1 - n. Factor 2/5*y + 1/5*y**z + 1/5.
(y + 1)**2/5
Let t(b) be the third derivative of -b**8/420 + b**7/105 + b**6/75 - 19*b**5/150 + 4*b**4/15 - 4*b**3/15 + 4*b**2. Solve t(z) = 0.
-2, 1/2, 1, 2
Let x(o) = -4*o**4 - 8*o**3 + 8*o**2 - 6*o - 5. Let t(i) = -i**4 - i**3 + i**2 - i - 1. Let j(r) = 5*t(r) - x(r). Factor j(m).
-m*(m - 1)**3
Let t = -232/3 - -78. Factor 0*q**2 - t*q + 2/3*q**3 + 0.
2*q*(q - 1)*(q + 1)/3
Let c(w) be the first derivative of -w**6/75 + w**5/25 - 2*w**3/15 + w**2/5 - 2*w + 1. Let j(o) be the first derivative of c(o). Factor j(p).
-2*(p - 1)**3*(p + 1)/5
Let k be (-182)/(-8) - (-2)/8. Suppose -k = -2*v - 2*v - 3*n, 5*v = 5*n - 15. Factor -2*x**2 - 5*x**v + 6*x**2 + x**4.
x**2*(x - 1)*(x + 1)
Suppose 0*d + d - 4 = 0. Suppose -7*a - 10*a**3 + 17*a + 2*a**2 - 2*a**d + 4 - 4*a**4 = 0. Calculate a.
-1, -2/3, 1
Let n = 59/90 + -5/9. Let a(f) be the second derivative of -1/63*f**7 + 0*f**3 + 1/15*f**6 + 0 + 1/18*f**4 + 0*f**2 - n*f**5 - f. Factor a(b).
-2*b**2*(b - 1)**3/3
Let g(j) = 5*j**2 - j. Let h(m) be the second derivative of m**4/4 - 5*m. Let t(c) = -3*g(c) + 4*h(c). Solve t(q) = 0 for q.
0, 1
Let h(t) be the second derivative of t**6/180 - t**5/120 - t**4/24 + t**3/36 + t**2/6 - t. Suppose h(a) = 0. Calculate a.
-1, 1, 2
Let 