1/2*z**3 + 1/2*z**c - 1/2*z.
(z - 1)*(z + 1)**2/2
Let v be -6 + -8 - (0 - 0). Let c = 16 + v. Factor -2/9*q + 0 + 4/9*q**c - 2/9*q**3.
-2*q*(q - 1)**2/9
Let s(t) be the first derivative of -t**7/105 - t**6/20 - t**5/15 - 3*t**2 + 5. Let m(f) be the second derivative of s(f). Factor m(y).
-2*y**2*(y + 1)*(y + 2)
Suppose 0 = -h + 6*h - 10. Factor 0*r**2 - 3*r + 3*r**2 + 1 + 1 - 2*r**h.
(r - 2)*(r - 1)
Let y(v) be the second derivative of v**8/4032 + v**7/630 + v**6/240 + v**5/180 + v**4/12 + 2*v. Let j(p) be the third derivative of y(p). Factor j(r).
(r + 1)**2*(5*r + 2)/3
Let i = 2 + 1. Let r(o) = o**2 + 7*o + 1. Let t(c) = 2*c**2 + 15*c + 1. Let y(h) = i*t(h) - 7*r(h). Determine w so that y(w) = 0.
-2
Let i(r) = -9*r + 7*r + 3*r + 8 + 0*r. Let u be i(-8). Factor u*b**2 - 2/11*b + 0 + 2/11*b**3.
2*b*(b - 1)*(b + 1)/11
What is q in 13/9*q**2 + 2/9 + q - 2/9*q**5 + 5/9*q**3 - 1/3*q**4 = 0?
-1, -1/2, 2
Let f be (-19)/(-4) - (-3)/(-4). Suppose 5*o = 3*o. Factor o - b**f + 0.
-b**4
Suppose 3*r - r = -0*r. Factor r*u + 3/2*u**4 + 0 - 1/2*u**5 + 1/2*u**2 - 3/2*u**3.
-u**2*(u - 1)**3/2
Suppose 0 = l + 2*l - 27. Let i = l + -7. Let -4/5*h**3 - 2/5*h**4 + 4/5*h + 2/5 + 0*h**i = 0. What is h?
-1, 1
Let z = 6 - 1. Suppose 2*c - v = 6, z*v = -2*c - 3*c. What is u in 18/11*u**4 - 24/11*u**3 - 10/11*u**c + 24/11*u - 8/11 = 0?
-1, 2/3, 1
Let r(z) = z**2 - 11*z - 4. Let v be r(8). Let p = -15 - v. Factor 4*i - 2 + 4*i - 2*i**4 + p*i**3 - 12*i**2 - 5*i**3.
-2*(i - 1)**4
Let g(f) be the second derivative of f**7/63 - f**6/15 + f**5/30 + f**4/6 - 2*f**3/9 - 8*f. What is l in g(l) = 0?
-1, 0, 1, 2
Let n(a) = 2*a - 5. Let b(v) = 2*v - 4. Let d(j) = 5*b(j) - 4*n(j). Let p be d(2). Factor 4*g**3 + 2*g**2 + 2*g**p - 4*g**4 + 4*g**4 + 0*g**4.
2*g**2*(g + 1)**2
Let x(t) be the second derivative of -t**4/36 - t**3/18 - 14*t. Determine k, given that x(k) = 0.
-1, 0
Let b(d) = d**2 + 7*d - 2. Let g be b(-8). Let m be (2/(-4) + 1)*g. Solve 1/4*t**2 + 3/4*t**4 + 0*t - 1/4*t**5 + 0 - 3/4*t**m = 0.
0, 1
Let o = 0 + 3. Let -10*n**3 + 28*n**2 - 5*n**o + 12*n + 3*n**3 - 8 - 20*n**4 = 0. Calculate n.
-1, 2/5, 1
Let c be 3/(-1 + 14/8). Let g(r) = r**3 + 8*r**2 - 10*r - 6. Let l be g(-9). Find y such that -1/4*y**5 - 3/4*y**l + 0*y + 0 - 1/4*y**2 - 3/4*y**c = 0.
-1, 0
Suppose 0 = -5*f + 2*f - 27. Let m be (-44)/(-16) - f/(-12). Let 2/3 - 2/3*r**5 + m*r - 2*r**4 + 4/3*r**2 - 4/3*r**3 = 0. Calculate r.
-1, 1
Factor -3*j + 3/4*j**4 + 0 + 6*j**2 - 15/4*j**3.
3*j*(j - 2)**2*(j - 1)/4
Find p, given that 4*p**2 - 3*p - 3*p - 2*p + 0*p**2 = 0.
0, 2
Let a(f) = -6*f + 24. Let l be a(4). Factor 0*c**3 + 3/2*c**2 + l*c - 3/4 - 3/4*c**4.
-3*(c - 1)**2*(c + 1)**2/4
Let k = -2/2895 - 96691/2895. Let w = k + 34. Solve -w*m**5 + 0 + 0*m**2 + 0*m + 1/5*m**3 - 2/5*m**4 = 0 for m.
-1, 0, 1/3
Let q(t) be the third derivative of t**8/2352 - t**7/735 + t**6/840 - 10*t**2. Solve q(s) = 0 for s.
0, 1
Let a be (18/20)/((-168)/(-70)). Let f(o) be the first derivative of -a*o**2 + 1 + 1/4*o**3 - 3/2*o. Factor f(u).
3*(u - 2)*(u + 1)/4
Let z(t) be the second derivative of -t**7/126 + t**6/18 - t**5/30 - 7*t**4/18 + t**3/6 + 3*t**2/2 - 15*t. Find i, given that z(i) = 0.
-1, 1, 3
Suppose 5*v - 32 = -7. Factor 8*x**2 + 2*x - x**v - x**4 + 10*x**2 + 3*x**3 - 13*x**2.
-x*(x - 2)*(x + 1)**3
Let w(z) be the first derivative of -z**7/21 + z**6/15 + z**5/10 - z**4/6 - z + 2. Let r(d) be the first derivative of w(d). Factor r(t).
-2*t**2*(t - 1)**2*(t + 1)
Let x(d) be the second derivative of d**7/630 - d**6/540 - 2*d**3/3 - 2*d. Let t(h) be the second derivative of x(h). Factor t(v).
2*v**2*(2*v - 1)/3
Let v = 19/4 + -125/28. Find g, given that v*g**2 + 4/7*g + 0 = 0.
-2, 0
Let f(y) be the third derivative of y**6/40 - 2*y**5/5 + 2*y**4 - 8*y**2. Suppose f(u) = 0. What is u?
0, 4
Let h(n) = 5*n**2 - n**3 + 2*n**3 + n**2 + 2 - 3*n**2. Let p be h(-3). Let -v**5 + 0*v**2 + v**p - v - 2*v**4 + v**2 + 2*v**5 = 0. What is v?
-1, 0, 1
Let c = -3275/18 - -182. Let r(j) be the third derivative of -1/180*j**5 + 0*j + 0 - c*j**3 - 1/36*j**4 - j**2. Factor r(i).
-(i + 1)**2/3
Let m(v) be the second derivative of v**4/12 + v**3 + 2*v**2 - 2*v. Let s be m(-6). Let -2/7*j**2 + 2/7*j**s + 0 + 0*j + 0*j**3 = 0. What is j?
-1, 0, 1
Let o(s) = s**4 - s**2 + s. Let y(b) = b**5 + 4*b**4 - 2*b**3 - 3*b**2 + 6*b - 1. Let i(u) = -15*o(u) + 3*y(u). Suppose i(d) = 0. What is d?
-1, 1
Let c(t) be the second derivative of -t**5/10 + t**4/3 - t**3/3 + 6*t. Factor c(o).
-2*o*(o - 1)**2
Let r(j) = j + 2. Let u be r(-4). Let o(z) = 9*z + 21 + 18 - 30. Let s(i) = i**3 - 9*i - 8. Let d(h) = u*o(h) - 3*s(h). What is g in d(g) = 0?
-1, 2
Suppose 3*s - s - 6 = 0. Suppose z - 5*b = -13, s*z = -b + 5*b - 6. Factor -21*j**3 + j - 7*j**3 - z - 8*j**4 + 2*j**3 - 30*j**2 - 15*j.
-2*(j + 1)**3*(4*j + 1)
Let o(j) be the second derivative of j**4/84 - j**3/21 + j**2/14 - 24*j. Factor o(r).
(r - 1)**2/7
Let n(k) be the third derivative of -k**5/15 + 5*k**4/2 + k**2 + 3*k. Let n(m) = 0. Calculate m.
0, 15
Suppose -5*p + 3 = -12. Let m(g) be the first derivative of 4/3*g**p + 3/2*g**4 + 2 - 3*g**2 - 4*g. Factor m(b).
2*(b - 1)*(b + 1)*(3*b + 2)
Find x, given that -1/8*x**5 + 1/2*x**3 + 1/4 - 1/4*x**2 - 3/8*x + 0*x**4 = 0.
-2, -1, 1
Let x(i) be the third derivative of i**5/160 - 5*i**4/64 + 3*i**3/8 + 4*i**2 - 3*i. Factor x(j).
3*(j - 3)*(j - 2)/8
Let m be 4/14 + 61/7. Suppose l = m*l. Factor 4/5*a + l + 2/5*a**4 - 4/5*a**3 - 2/5*a**2.
2*a*(a - 2)*(a - 1)*(a + 1)/5
Factor 5/2*f**2 + 15/2*f + 5.
5*(f + 1)*(f + 2)/2
Let q(z) be the third derivative of -z**8/2352 + z**7/490 + z**6/168 - z**5/140 - z**4/42 + 25*z**2. Let q(x) = 0. Calculate x.
-1, 0, 1, 4
Let a(h) be the second derivative of 7*h**4/24 - 3*h**3/4 + h**2/2 + 20*h. Factor a(j).
(j - 1)*(7*j - 2)/2
Factor 0*p**3 + 0*p + 0 + 2/11*p**4 - 2/11*p**2.
2*p**2*(p - 1)*(p + 1)/11
Let s(j) be the second derivative of 1/5*j**5 + 0 + 0*j**2 + 0*j**4 - 2/15*j**6 - 6*j + 0*j**3. Let s(v) = 0. Calculate v.
0, 1
Let x(l) be the second derivative of -l**8/15680 + l**7/2520 - l**6/1008 + l**5/840 + l**4/3 + 3*l. Let t(w) be the third derivative of x(w). Solve t(g) = 0.
1/3, 1
Let q be -4 + -4 - (0 + -2). Let v = -4 - q. Determine o so that 2*o**5 - 13/3*o**4 - 2/3*o + o**v + 0 + 2*o**3 = 0.
-1/2, 0, 2/3, 1
Let b(i) be the third derivative of -2*i**7/525 - 2*i**6/75 - i**5/15 - i**4/15 - 13*i**2. Factor b(h).
-4*h*(h + 1)**2*(h + 2)/5
Let n(x) be the third derivative of -x**7/1155 - x**6/660 + x**5/165 - 2*x**2. Factor n(g).
-2*g**2*(g - 1)*(g + 2)/11
What is t in 2*t**5 - 29 - 6*t**4 - 3*t**5 - 14*t**3 - 16*t**2 - 9*t + 27 = 0?
-2, -1
Factor -96*m - m**4 + 96*m**2 + 12*m**3 - m**4 - 42*m**3 + 5*m**4.
3*m*(m - 4)**2*(m - 2)
Let t(k) = -3*k**2 - 24*k - 32. Let c be t(-6). Let 1/6*q**2 - 1/6*q**5 + 1/2*q**c + 0 - 1/2*q**3 + 0*q = 0. What is q?
0, 1
Suppose -2*s - 9 - 3 = 0. Let a = s - -6. Determine c, given that 0*c - 1/3*c**2 - 1/3*c**3 + a = 0.
-1, 0
Suppose -3*o + 12 = -0*o. Let m be (-6)/15*(-5)/o. Solve 1/2*d**3 + 1/2*d**4 + 0*d - 1/2*d**2 + 0 - m*d**5 = 0.
-1, 0, 1
Let k(c) be the first derivative of -c**5/540 + c**4/108 - c**3/54 - c**2/2 + 8. Let t(i) be the second derivative of k(i). Let t(p) = 0. Calculate p.
1
Solve 3/5*w**4 + 4*w - 26/5*w**2 - 1/5*w**3 + 24/5 = 0 for w.
-3, -2/3, 2
Let k = 396/1015 + 2/203. Factor k*s + 4/5*s**2 + 2/5*s**3 + 0.
2*s*(s + 1)**2/5
Let m = -48 - -52. Let o(v) be the second derivative of -1/12*v**3 + 4*v + 1/40*v**5 + 0*v**m + 1/120*v**6 + 0 - 1/8*v**2. Determine u so that o(u) = 0.
-1, 1
Let p(k) = -28*k**3 - 31*k**2 - 3*k. Let i(z) = z**2 + z. Let g be (-45)/10 - 1/2. Let t(o) = g*i(o) + p(o). Let t(h) = 0. What is h?
-1, -2/7, 0
Let i(l) be the third derivative of 0*l - 1/30*l**5 + 0 - 3*l**2 + 0*l**4 - 1/105*l**7 - 1/30*l**6 + 0*l**3. Find s such that i(s) = 0.
-1, 0
Let i(d) be the first derivative of -d**5/20 - d**4/8 + d**2/4 + d/4 + 3. Factor i(b).
-(b - 1)*(b + 1)**3/4
Let k(u) be the first derivative of u**8/168 - u**7/105 - u**6/60 + u**5/30 + u**2 - 2. Let o(g) be the second derivative of k(g). Factor o(p).
2*p**2*(p - 1)**2*(p + 1)
Let w be (9 - 8)*(0 - (-2)/48). Let u(y) be the second derivative of 0 + 3/4*y**2 + w*y**4 + 1/3*y**3 + 4*y. What is z in u(z) = 0?
-3, -1
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