- 1)/11
Let u(r) be the first derivative of -r**6/160 + 3*r**5/160 + 3*r**4/64 - r**3/8 + 3*r**2 + 1. Let x(h) be the second derivative of u(h). Factor x(i).
-3*(i - 2)*(i + 1)*(2*i - 1)/8
Let s(x) be the third derivative of 1/420*x**6 + 1/105*x**5 + 0 + 2*x**2 + 0*x - 1/84*x**4 - 2/21*x**3. Determine l, given that s(l) = 0.
-2, -1, 1
Let q(m) = m**2 - 6*m + 2. Suppose -a = -0 + 3. Let n(j) = -j**2 + j + 5. Let g be n(4). Let y(v) = -2*v**2 + 13*v - 4. Let i(f) = a*y(f) + g*q(f). Factor i(b).
-(b - 2)*(b - 1)
Let s(p) be the second derivative of -2*p**5/45 + 23*p**4/54 - 14*p**3/27 - 5*p**2/9 - 4*p. Factor s(i).
-2*(i - 5)*(i - 1)*(4*i + 1)/9
Let f(y) be the third derivative of -y**5/480 - y**4/64 + 12*y**2. Solve f(p) = 0 for p.
-3, 0
Let i = 10 - 7. Suppose 4*o - 15 = -i. Suppose 2*y - 4*y**2 - 2*y**5 + 4*y**4 - 2*y**o + 2*y**3 = 0. What is y?
-1, 0, 1
Suppose 12/7*l**2 + 6/7 + 16/7*l - 2/7*l**4 + 0*l**3 = 0. Calculate l.
-1, 3
Let j = 59/315 + -2/45. Let v(q) be the third derivative of q**2 + 0 + 4/21*q**3 + 0*q + 3/70*q**5 + j*q**4. Let v(m) = 0. Calculate m.
-2/3
Suppose -4*t + 3*w = 3 - 0, 2*t + 2*w = 16. Let f = 29/108 - 1/54. Suppose -1/4*k**t + f*k + 0*k**2 + 0 = 0. What is k?
-1, 0, 1
Let a(f) = f**4 - 5*f**3 + 3*f**2 + f. Let q(k) = 4*k**4 - 21*k**3 + 13*k**2 + 3*k + 1. Let l(d) = -18*a(d) + 4*q(d). Factor l(c).
-2*(c - 2)*(c - 1)**2*(c + 1)
Let p(k) be the second derivative of 0*k**3 + 0*k**2 - 1/12*k**4 + 0 - 1/10*k**5 + 2*k - 1/30*k**6. Factor p(r).
-r**2*(r + 1)**2
Suppose 0 = -u - 3*u + 24. Let i(s) = 3*s**3 + 7*s**2 - 5*s. Let p(m) = -4*m**3 - 8*m**2 + 6*m. Let c(g) = u*i(g) + 5*p(g). What is o in c(o) = 0?
0, 1
Let t(q) be the third derivative of 7*q**6/120 - 3*q**5/20 - q**4/2 + 2*q**3/3 - 5*q**2. Let t(a) = 0. Calculate a.
-1, 2/7, 2
Let 8 - 37*c**3 + 401*c**4 - 36*c**2 + 4*c - 421*c**4 - 15*c**3 = 0. Calculate c.
-1, 2/5
Suppose -2/13*l**2 - 50/13 + 20/13*l = 0. What is l?
5
Determine u, given that -3*u + 27*u + u**3 - 15 + 9*u**2 + 31 = 0.
-4, -1
Let c = 159 - 159. Suppose -3/5*s**2 + c + 2/5*s**3 - 2/5*s = 0. What is s?
-1/2, 0, 2
Suppose -3*l = -3*c - 3, -3 = 5*l + 2*c - 29. Let a be (-3)/l - (-135)/36. Factor d - 1/2*d**4 - d**a + 1/2*d**2 + 0.
-d*(d - 1)*(d + 1)*(d + 2)/2
Factor 2/7*t + 0 + 2/7*t**2.
2*t*(t + 1)/7
Let s(v) be the first derivative of -v**6/60 - v**5/40 + 2*v - 3. Let q(j) be the first derivative of s(j). Factor q(p).
-p**3*(p + 1)/2
Let c(j) be the second derivative of -j**6/20 + 3*j**5/8 - 7*j**4/8 + 3*j**3/4 - 6*j. Factor c(b).
-3*b*(b - 3)*(b - 1)**2/2
Let w(v) = v**2 - 2*v - 1. Suppose -6*i - 6 = -0. Let b be w(i). Determine q so that -21/5*q + 6/5 + 3*q**b = 0.
2/5, 1
Solve -12/7 + 87/7*m - 3*m**2 = 0 for m.
1/7, 4
Let u(m) = -m**3 + m**2 - m + 1. Let y(g) = -11*g**3 + 7*g**2 + 3*g + 1. Let l(x) = u(x) - y(x). Factor l(t).
2*t*(t - 1)*(5*t + 2)
Let h(q) be the third derivative of -q**2 + 1/240*q**5 + 0 - 1/160*q**6 + 0*q**4 + 1/420*q**7 + 0*q**3 + 0*q. Factor h(i).
i**2*(i - 1)*(2*i - 1)/4
Let m(b) be the first derivative of -b**4/10 + 2*b**3/3 - 8*b**2/5 + 8*b/5 + 12. Factor m(o).
-2*(o - 2)**2*(o - 1)/5
Suppose 3*s + 3 - 9 = 0. Factor -2*n**2 + 3*n + 0*n + 0*n**s - 5*n.
-2*n*(n + 1)
Let n(q) be the second derivative of -q**7/6300 + q**6/600 - q**5/150 - q**4/4 + 3*q. Let d(z) be the third derivative of n(z). Factor d(x).
-2*(x - 2)*(x - 1)/5
Suppose 4*l = 3*q - 6, -5*l + 6 = -2*l + 3*q. Let b(i) be the second derivative of 0*i**2 - 1/20*i**4 + l - 1/10*i**3 - i. Solve b(g) = 0.
-1, 0
Let h be ((-1)/(-2))/(4 - 75/20). Let j(g) be the second derivative of -1/27*g**4 + 1/9*g**2 + 0*g**3 - h*g + 1/135*g**6 + 0 + 0*g**5. Factor j(k).
2*(k - 1)**2*(k + 1)**2/9
Suppose 3*z - z = 12. Let g(r) = -r + 10. Let l be g(z). Factor -1/3*s**2 + 0 - 2/3*s**3 - 1/3*s**l + 0*s.
-s**2*(s + 1)**2/3
Let d(w) = w**2 - 1. Let p(a) = 7*a**2 - 3*a - 4. Let m(o) = -6*d(o) + p(o). Suppose m(h) = 0. What is h?
1, 2
Let j = 275 - 3021/11. Factor 2/11*d**3 - 2/11*d + 4/11 - j*d**2.
2*(d - 2)*(d - 1)*(d + 1)/11
Let q(y) = 7*y**3 + 12*y**2 + 5*y. Let f(d) = 14*d**3 + 25*d**2 + 11*d. Let w be (-6)/(-2*(-2)/4). Let c(j) = w*f(j) + 14*q(j). Determine n so that c(n) = 0.
-1, -2/7, 0
Find d such that -2/3*d**3 + 0*d + 0 - 2/3*d**2 = 0.
-1, 0
Let s(x) be the third derivative of -x**6/960 + x**4/192 + 4*x**2. Let s(v) = 0. Calculate v.
-1, 0, 1
Suppose 2 = 2*j - 2. Factor 6*a - j*a**2 + 2*a**3 - a**2 - 2 - 7*a**2 + 4*a**2.
2*(a - 1)**3
Let q(k) be the first derivative of -2*k**3/21 + k**2/7 - 4. Factor q(o).
-2*o*(o - 1)/7
Let f(q) be the second derivative of q**5/50 + q**4/30 - 12*q. Factor f(x).
2*x**2*(x + 1)/5
Let b(k) be the first derivative of k**5/5 - k**4/4 - 7*k**3/3 + 13*k**2/2 - 6*k - 20. Suppose b(q) = 0. What is q?
-3, 1, 2
Let f(q) = -q**3 + 8*q**2 - q - 6. Let h(a) = a**3 - 7*a**2 + a + 5. Suppose -3*z + 8 = -z. Let w = -1 - z. Let u(d) = w*f(d) - 6*h(d). Let u(i) = 0. What is i?
0, 1
Let y(v) be the third derivative of -v**7/1575 + v**6/450 + v**5/450 - v**4/90 + 12*v**2. Let y(m) = 0. What is m?
-1, 0, 1, 2
Let f = 5911/11 + -537. Factor 2/11*i**3 - 2/11*i + 4/11 - f*i**2.
2*(i - 2)*(i - 1)*(i + 1)/11
Let j be (0/(-3))/2*1. Let o(i) be the third derivative of -1/40*i**6 + 0*i + 0 + 1/70*i**7 + 2*i**2 + j*i**4 + 0*i**3 + 1/60*i**5 - 1/336*i**8. Factor o(z).
-z**2*(z - 1)**3
Let g(w) = 2*w**3 + w**2 - 14*w + 1. Let u(v) = -v**3 - v**2 + 7*v. Let q(a) = 6*g(a) + 11*u(a). Let n be q(6). Factor 0 + 2/9*i**2 + n*i.
2*i**2/9
Let u(g) = 3*g**2 - 15*g + 6. Let q(n) = n**2 - n + 1. Let b(s) = -6*q(s) + u(s). Solve b(v) = 0.
-3, 0
Let f(q) be the first derivative of q**8/120 - 4*q**7/105 + 11*q**6/180 - q**5/30 + q**3 + 5. Let v(a) be the third derivative of f(a). Factor v(s).
2*s*(s - 1)**2*(7*s - 2)
Factor -259 - 25*r**2 - 2*r + 259.
-r*(25*r + 2)
Let h = 7595/2 + -40497/10. Let q = h - -254. What is a in -7/5*a - a**3 - q*a**2 - 1/5*a**4 - 2/5 = 0?
-2, -1
Let a = -21 - -23. Let t(i) be the second derivative of 0*i**3 - 1/5*i**5 + 0*i**a + 0*i**4 + 0 + 2*i + 1/15*i**6. Factor t(q).
2*q**3*(q - 2)
Let k(r) = r**4 - r**2 - 1. Let q(u) = -10*u**4 - 66*u**3 - 89*u**2 - 24*u - 5. Let j(t) = 5*k(t) - q(t). Solve j(c) = 0.
-2, -2/5, 0
Let g(q) be the third derivative of q**5/270 + q**4/108 + 6*q**2. Factor g(i).
2*i*(i + 1)/9
Let a(z) = z**4 - 7*z**3 - z**2 - z + 4. Let t(c) = -3*c**4 + 20*c**3 + 2*c**2 + 3*c - 11. Let f(k) = -11*a(k) - 4*t(k). Factor f(d).
d*(d - 1)**3
Let i be (-3)/(-9) - 3/(-45). Suppose -k - 4*s = 0, -3*k = -2*k - 4*s - 8. Suppose -k*j**2 + 4/5 + 16/5*j**4 - 8/5*j**3 + 2*j**5 - i*j = 0. What is j?
-1, 2/5, 1
Let b = 750 + -750. Suppose 0*z + 2/3*z**2 + b = 0. Calculate z.
0
Suppose 0 = -3*b - 4*t - 7, 2*b - 3*b + t + 7 = 0. Determine r so that -3/2*r**2 - 1/2*r + 0 - r**b = 0.
-1, -1/2, 0
Determine t, given that -14*t**4 + t**2 + 6*t**5 + 2*t**2 + 5*t**4 = 0.
-1/2, 0, 1
Determine d so that -15*d - 51 - 2*d - 13*d - 24 - 3*d**2 = 0.
-5
Let a(c) be the third derivative of -c**6/420 + c**4/28 + 2*c**3/21 - 7*c**2. Factor a(q).
-2*(q - 2)*(q + 1)**2/7
Factor 2*p + 0*p**4 - 15 + 6*p**2 - 2*p**3 - 2*p**4 + 11.
-2*(p - 1)**2*(p + 1)*(p + 2)
Let d(z) be the first derivative of -z**6/24 + z**4/8 - z**2/8 - 7. Factor d(v).
-v*(v - 1)**2*(v + 1)**2/4
Let m(u) be the third derivative of -1/105*u**5 + 6*u**2 - 2/21*u**3 - 1/21*u**4 + 0*u + 0. Factor m(h).
-4*(h + 1)**2/7
Let l = -382 - -384. What is x in 0 + 0*x - 1/2*x**l - 1/2*x**4 + x**3 = 0?
0, 1
Let a(n) = -n + 6. Let v be a(4). Let o be (-2)/(-10)*(-175)/(-15). Solve o*t + 2/3 - 3*t**v = 0.
-2/9, 1
Suppose 6*n - 3*s = 3*n - 12, -3*n - 5*s + 12 = 0. Let x(j) = j**2 - 6*j - 1. Let o(i) = i. Suppose -d - 7 + 1 = 0. Let b(f) = d*o(f) + n*x(f). Factor b(m).
-(m - 1)*(m + 1)
Determine l so that -310/3*l**2 - 50/3*l**3 + 272/3*l - 56/3 = 0.
-7, 2/5
Let m(b) = 2*b**2 + 5*b. Let c(t) = -t. Let h(u) = -6*c(u) - 2*m(u). Solve h(n) = 0.
-1, 0
Let i = 7/2 + -3. Let f(o) be the first derivative of -i*o**4 - 3 - 4/3*o**3 + 0*o - o**2. Determine l so that f(l) = 0.
-1, 0
Factor 32*d**4 + 30*d**4 - 58*d**4 - 4 - 8*d**3 + 8*d.
4*(d - 1)**3*(d + 1)
Let o(d) be the third derivative of -d**7/1260 + d**6/135 - d**5/45 - d**3/6 - 3*d**2. Let h(x) be the first derivative of o(x). Suppose 