j*m**4 + 0 + 4/7*m = 0.
-2, 0, 1
Suppose 0 = f - 3*b - 15, -5*f - 7*b = -6*b - 11. Factor 8/13*h + 12/13*h**2 + 2/13*h**4 + 8/13*h**f + 2/13.
2*(h + 1)**4/13
Determine g, given that -3/5 - g + 1/5*g**3 - 1/5*g**2 = 0.
-1, 3
Let a(r) be the first derivative of 1/15*r**5 - 1/6*r**2 - 1/9*r**3 + 0*r + 3 + 1/12*r**4. Find j, given that a(j) = 0.
-1, 0, 1
Let o(c) be the third derivative of -2*c**7/35 - 19*c**6/40 + 9*c**5/20 + 19*c**4/8 - 5*c**3/2 - c**2. Suppose o(n) = 0. What is n?
-5, -1, 1/4, 1
Let -8/23*z - 6/23 - 2/23*z**2 = 0. What is z?
-3, -1
Let a(o) be the first derivative of -4*o**3/9 + 4*o/3 + 1. Factor a(z).
-4*(z - 1)*(z + 1)/3
Let i(j) = -j + 3. Let b be i(0). Let x(k) = k - 1. Let o be x(b). Determine n so that -3/2*n**3 + 0 + 3/2*n**o - 1/2*n + 1/2*n**4 = 0.
0, 1
Suppose -2*p - 4*x = -4*p + 18, -2*p + 2*x + 12 = 0. Suppose -p*j - 2 = -5. Factor -3 - j + 3 + n**2.
(n - 1)*(n + 1)
Let a(j) = j**4 - 3*j**5 + 0*j**5 + 4*j**5 - j**2 - 1 + 0. Let l(k) = -k**4 - k**3 + k**2 + 1. Let g(x) = a(x) + l(x). Suppose g(s) = 0. Calculate s.
-1, 0, 1
Let w(a) = a**3 - 6*a**2 + 3*a - 6. Suppose 12 = 2*z - 0*z. Let i be w(z). Determine v, given that -6*v - i*v**2 + 0*v**4 - 3*v**4 - 20 - 10*v**3 + 19 = 0.
-1, -1/3
Let t(u) = -7*u**2 - 8*u + 4. Let q = 2 - -1. Let i(g) = 0 + 2*g**2 - g - 1 + q*g. Let h(j) = -22*i(j) - 6*t(j). Factor h(m).
-2*(m - 1)**2
Let l(r) be the second derivative of r**5/110 - r**3/11 + 2*r**2/11 + 2*r. What is w in l(w) = 0?
-2, 1
Let w(f) be the first derivative of -f**6/27 + 2*f**5/45 - 56. Find y such that w(y) = 0.
0, 1
Let u be (-1)/((-4)/((-12)/(-15))). Let p(z) be the second derivative of 0*z**3 + u*z**5 - 1/15*z**6 + 0*z**2 + 0 - 1/6*z**4 - z. Let p(l) = 0. What is l?
0, 1
Let u(i) be the third derivative of i**6/90 + i**5/20 + i**4/12 + i**3/18 + 2*i**2. Factor u(n).
(n + 1)**2*(4*n + 1)/3
Let b(k) = 110*k**4 - 175*k**3 + 220*k - 110. Let v(r) = -5*r**4 + 8*r**3 - 10*r + 5. Let h(w) = 2*b(w) + 45*v(w). Suppose h(q) = 0. What is q?
-1, 1
Let p(d) be the first derivative of -3*d**7/70 + d**6/20 + 2*d**5/15 - d**4/4 + d**3/6 + d**2/2 + 3. Let m(c) be the second derivative of p(c). Factor m(b).
-(b - 1)*(b + 1)*(3*b - 1)**2
Let j(o) be the third derivative of o**6/30 + 2*o**5/15 - o**4/6 - 4*o**3/3 + 2*o**2. Suppose j(g) = 0. What is g?
-2, -1, 1
Let f(y) = 2*y**2 - 2*y. Let i(n) = -2*n + 4. Let b be i(3). Let u(o) = -6*o**2 + 6*o. Let g(m) = b*u(m) - 7*f(m). Factor g(t).
-2*t*(t - 1)
Let y(d) be the first derivative of d**8/1680 + d**7/1260 + d**3 - 3. Let r(f) be the third derivative of y(f). Suppose r(x) = 0. Calculate x.
-2/3, 0
Let w(r) be the third derivative of -2/3*r**4 + 0*r + 2/105*r**7 + 0*r**3 + 0 - 1/6*r**6 - 2*r**2 + 8/15*r**5. Determine v so that w(v) = 0.
0, 1, 2
Factor 1/3*a**5 - 1/3*a**4 - 1/3*a**3 + 1/3*a**2 + 0 + 0*a.
a**2*(a - 1)**2*(a + 1)/3
Let m be ((-2)/(-60))/(4/5). Let j(p) be the second derivative of 1/24*p**3 + 0*p**2 + 0 - m*p**4 + 2*p + 1/80*p**5. Factor j(h).
h*(h - 1)**2/4
Suppose -5*h - h - 18 = 0. Let g = h - -5. Suppose -2/9*q**3 + 0*q + 0 + 0*q**g = 0. What is q?
0
Let n be -1 + 1 + 6/2. Let c = n - 1. Factor -2 + 1 + 7*h**3 - 7*h + c*h**2 - 1.
(h - 1)*(h + 1)*(7*h + 2)
Let y be 0/((-6)/(-3) - 4). Let b(n) be the third derivative of -1/105*n**7 + 1/3*n**3 + n**2 + 0*n**5 + 1/6*n**4 + y + 0*n - 1/30*n**6. Factor b(d).
-2*(d - 1)*(d + 1)**3
Let c = -420 + 841/2. Determine t, given that t**2 - 1/4 + 1/2*t**3 - c*t - 3/4*t**4 = 0.
-1, -1/3, 1
Let k = 85 + -85. Let s(v) be the third derivative of 0*v + 0 + k*v**3 - 1/120*v**6 + 1/60*v**5 + 0*v**4 - 2*v**2. Solve s(g) = 0 for g.
0, 1
Let z(m) be the first derivative of -2*m**5/25 + m**4/2 - 6*m**3/5 + 7*m**2/5 - 4*m/5 - 36. Factor z(u).
-2*(u - 2)*(u - 1)**3/5
Let a be (1/(-1 - 59))/(6/(-18)). Let n(g) be the first derivative of 1/8*g**4 - 1/4*g - a*g**5 + 4 - 1/8*g**2 + 1/6*g**3 - 1/24*g**6. What is p in n(p) = 0?
-1, 1
Let 3*g**5 + 2*g**2 - 14 + 12 + 3*g - 2*g**5 - 4*g**3 = 0. Calculate g.
-2, -1, 1
Let u = -1 - 1. Let x(q) = -6*q**4 - q**3 + q**2 + 2*q + 2. Let d(f) = -7*f**4 + f**2 + 3*f + 3. Let h(m) = u*d(m) + 3*x(m). Factor h(n).
-n**2*(n + 1)*(4*n - 1)
Let v(s) = 5*s**2 - 5*s - 5. Let r(l) = l - 1. Let d(m) = -5*r(m) + v(m). Solve d(k) = 0 for k.
0, 2
Factor 2/7*v**3 - 1/7*v**2 + 1/7*v**4 + 0 - 2/7*v.
v*(v - 1)*(v + 1)*(v + 2)/7
Suppose -15*k + 53 - 28 - 15 + 7*k**3 - 2*k**3 = 0. What is k?
-2, 1
Let h(p) = -6*p**2 - 9*p. Let r = 1 + 4. Let w(y) = y**3 - 12*y**2 - 18*y. Let u(f) = r*h(f) - 3*w(f). Factor u(m).
-3*m*(m - 3)*(m + 1)
Let j = 12 + -12. Let c(g) be the second derivative of 0 + 0*g**3 + 1/36*g**4 + j*g**2 + g. Factor c(x).
x**2/3
Let q(m) be the first derivative of 109/10*m**4 + 24/5*m**3 + 252/25*m**5 + 2 + 4/5*m**2 + 49/15*m**6 + 0*m. Factor q(s).
2*s*(s + 1)**2*(7*s + 2)**2/5
Let a = 2525/7 - 359. Find x such that 0*x + 3/7*x**2 - a*x**4 + 9/7*x**3 + 0 = 0.
-1/4, 0, 1
Let p(x) be the second derivative of x**4/8 - 3*x**2/4 - 4*x. Factor p(z).
3*(z - 1)*(z + 1)/2
Suppose 5*c + m = 8*c - 8, 0 = -5*c - 2*m + 28. Factor 0*l**c + 0*l**2 + 0 + 2/3*l**5 + 0*l - 2/3*l**3.
2*l**3*(l - 1)*(l + 1)/3
Let j(u) be the second derivative of 1/8*u**4 + 0*u**3 + 1/40*u**5 + 0 - u**2 - 3*u. Factor j(r).
(r - 1)*(r + 2)**2/2
Determine s, given that -2/7*s**3 + 0 - 8/7*s**2 - 8/7*s = 0.
-2, 0
Let m(p) = 11*p**2 - 71*p - 72. Let a(i) = 6*i**2 - 36*i - 36. Let h(y) = -5*a(y) + 3*m(y). Factor h(d).
3*(d - 12)*(d + 1)
Let q(s) = -s**2 + 7*s - 4. Let a(z) = -z**2 + 6*z - 4. Let v(k) = -3*a(k) + 2*q(k). Factor v(b).
(b - 2)**2
Let k(h) be the third derivative of -h**6/480 - h**5/120 - 5*h**2 - 3. Let k(p) = 0. Calculate p.
-2, 0
Let 1/3*f**2 - 4/3*f + 4/3 = 0. What is f?
2
Find z, given that 0*z + 1/5 - 1/5*z**2 = 0.
-1, 1
Let c be (-4)/(-12) + (-62)/(-30). Let g = c + 4/15. Factor -2*o**2 + g + 6*o**3 - 16/3*o.
2*(o + 1)*(3*o - 2)**2/3
Let m(k) = -5*k**2 + 4*k - 2. Let w(l) = 2*l + 6. Let u be w(-6). Let v(p) = p**3 - 6*p**2 + 5*p - 3. Let x(f) = u*m(f) + 4*v(f). Factor x(t).
2*t*(t + 2)*(2*t - 1)
Factor 3*i**5 + 14*i**5 + i**2 - 2*i**3 + 3*i**4 - 16*i**5 + 5*i**3.
i**2*(i + 1)**3
Let l = 3 - 1. Let u(k) = -4*k + 7*k**2 + l + 5 + 0. Let g(o) = -11*o**2 + 6*o - 11. Let r(v) = 5*g(v) + 8*u(v). Factor r(q).
(q - 1)**2
Let n be (-1)/((6/(-4))/3). Let c = n + 1. Factor 5*s**c - 4*s**3 + s**2 + 0*s**3.
s**2*(s + 1)
Solve 12*t + 16*t**4 - 35*t**2 + 8*t + 27*t**2 - 4*t**5 - 16*t**3 - 8 = 0 for t.
-1, 1, 2
Suppose 3*g = 5*c + 8*g - 15, -c + 3 = -2*g. Factor 4/7*w**c + 2/7*w**2 + 0*w + 0 + 2/7*w**4.
2*w**2*(w + 1)**2/7
Let u(r) be the first derivative of -r**6/10 + 3*r**5/25 + 3*r**4/20 - r**3/5 - 13. Solve u(g) = 0.
-1, 0, 1
Let z(a) be the second derivative of -a**6/6 + a**5/2 + 5*a**4/3 - 5*a**3/3 - 15*a**2/2 - 16*a. Factor z(y).
-5*(y - 3)*(y - 1)*(y + 1)**2
Let u(o) = 3*o**3 - 2*o + 6. Let y(z) = 3*z**3 - 3*z + 6. Let l(a) = 6*u(a) - 7*y(a). Factor l(m).
-3*(m - 1)**2*(m + 2)
Let q(n) be the second derivative of n**5/25 + n**4/15 - 22*n. Solve q(l) = 0 for l.
-1, 0
Let s(a) be the third derivative of a**8/80640 + a**7/10080 + a**6/2880 + a**5/60 - 4*a**2. Let b(q) be the third derivative of s(q). Factor b(y).
(y + 1)**2/4
Let a(q) be the third derivative of -q**5/60 + q**4/12 - q**3/6 + 7*q**2. Find k such that a(k) = 0.
1
Let w(f) be the first derivative of 0*f + 1/3*f**3 - f**2 - 2. Let w(x) = 0. What is x?
0, 2
Let z(r) be the third derivative of -r**5/30 + r**4/2 - 3*r**3 - 8*r**2 - 2*r. What is g in z(g) = 0?
3
Let k(z) be the first derivative of 1/90*z**5 + 0*z - 2 - 1/12*z**4 + 2/9*z**3 - 3/2*z**2. Let n(h) be the second derivative of k(h). Factor n(s).
2*(s - 2)*(s - 1)/3
Let r = 3 + 0. Suppose -5 = -r*y + 7. Determine v, given that -2*v**3 - v**2 + 2*v**y + 0*v**4 - 3*v**4 = 0.
-1, 0
Let p(r) be the second derivative of 0*r**2 + 1/9*r**6 - 1/30*r**5 - 1/21*r**7 + 0*r**3 - 4*r - 1/18*r**4 + 0. Factor p(u).
-2*u**2*(u - 1)**2*(3*u + 1)/3
Let t(a) be the third derivative of a**5/105 - a**4/12 + a**3/7 + 16*a**2. Determine q so that t(q) = 0.
1/2, 3
Let -12/5*c - 4/5*c**2 + 0 = 0. Calculate c.
-3, 0
Factor 0*b**3 + 10*b**3 + 10*b**2 - 5*b**3.
5*b**2*(b + 2)
Find s such that -s + 0*s**3 - 6*s**2 + 4*s**3 + 8*s**2 - 5*s**3 = 0.
0, 1
Let q(m)