, -1/3, 1
Factor -10/13*m**2 - 4/13*m + 14/13*m**3 + 0.
2*m*(m - 1)*(7*m + 2)/13
Solve -f**5 + 1/4*f**2 + 11/4*f**4 + 1/4*f - 9/4*f**3 + 0 = 0.
-1/4, 0, 1
Let w(q) = q**2 + q. Let s(y) = -y**3 + 15*y**2 + 7*y. Let g(z) = 2*s(z) - 22*w(z). Factor g(u).
-2*u*(u - 2)**2
Let n be ((-30)/4)/(-5)*2. Let z**2 - 5*z**2 + 2*z**n + 5 - 5 = 0. What is z?
0, 2
Let m(n) be the second derivative of -7*n**6/600 - n**5/100 + n**3/6 - 3*n. Let i(p) be the second derivative of m(p). Factor i(t).
-3*t*(7*t + 2)/5
Let w(k) = 4*k - 4. Let t be w(5). Let u = t - 11. Let -3*c**u - 28*c**2 - 22*c + 32*c**4 + 8*c**3 + 9*c**5 + 8*c**5 - 4 = 0. What is c?
-1, -2/7, 1
Let x = -74/65 + 20/13. Let v be (6/9)/(5/3). Factor -x*a**5 + 4/5*a**4 - 4/5*a**2 + 0 + 0*a**3 + v*a.
-2*a*(a - 1)**3*(a + 1)/5
Let t be -19 - ((-4)/4 + -2). Let l = 18 + t. Solve 3/2*k**l - 3/2*k**3 + 0 + 0*k = 0 for k.
0, 1
Suppose -2/15*o**2 + 4/5 - 2/15*o = 0. What is o?
-3, 2
Suppose -2*k + 15 = k. Suppose -k*x + 6 = -4. Suppose 0*w + 0 + 2/5*w**3 + 0*w**x = 0. Calculate w.
0
Suppose 2*d = -y - 3, -4*d = -7*y + 3*y - 12. Let j be ((-3)/(-4))/((-6)/(-3*8)). Let d + 3/2*a**5 + 15/2*a**j - 6*a**4 + 0*a - 3*a**2 = 0. Calculate a.
0, 1, 2
Let i(m) be the first derivative of -m**7/560 + 3*m**6/160 - 3*m**5/40 + m**4/8 + 8*m**3/3 - 5. Let o(x) be the third derivative of i(x). Solve o(r) = 0 for r.
1/2, 2
Let a(i) = 7*i + 23. Let q be a(-3). Determine x, given that 0*x**q + 8/7*x**5 + 2/7*x**4 + 0*x**3 + 0 + 0*x = 0.
-1/4, 0
Suppose -6*r - 12 = -4*k - 7*r, 5*k = -2*r + 18. Suppose 4*x + f + 1 = -2, 0 = -x - f - 3. Determine j so that 2/9*j**3 + 0*j**k + x - 2/9*j = 0.
-1, 0, 1
Let i(n) be the second derivative of 0 + 1/78*n**4 + 1/130*n**5 + 3*n - 1/39*n**3 - 1/195*n**6 + 0*n**2. Determine k so that i(k) = 0.
-1, 0, 1
Suppose -3*y + 5 = -7. Suppose c + 2*o = y, -4*c + c + 1 = -5*o. Factor -c*x + x**2 + 2*x + 0*x**2.
x**2
Let x be (-9 - 1)*2/(-4). Let b(i) be the first derivative of -2/3*i**3 - 2/5*i**x - 1 + 0*i**2 + 0*i + i**4. Factor b(v).
-2*v**2*(v - 1)**2
Let r(f) = 4*f**3 - 8*f**2 - 5. Let o(g) = -2*g**3 + 4*g**2 + 2. Let l be -3*(64/6)/(-4). Let i = l + -3. Let y(d) = i*o(d) + 2*r(d). Factor y(x).
-2*x**2*(x - 2)
Solve -14*l**2 + 26 - 5 + 15*l**4 - 1 - 20*l**3 - 21*l**2 + 20*l = 0.
-1, -2/3, 1, 2
Suppose 0 = 3*m - 5*v - 26, 0 = m - 3*v - 19 + 5. Factor -3/2*k**3 + 3/2*k + 3/2*k**m - 3/2*k**4 + 0.
-3*k*(k - 1)*(k + 1)**2/2
Factor 3*a**5 + 82 - 6*a**5 + 6*a**3 - 82 - 3*a.
-3*a*(a - 1)**2*(a + 1)**2
What is k in -6*k + 9*k**5 - 8*k**2 + 0*k**5 + 2*k + 8*k**4 - 5*k**5 = 0?
-1, 0, 1
Let m(x) be the first derivative of x**2/2 + 11*x + 2. Let g be m(-9). Determine a so that 0 + 0*a + 1/2*a**3 + 0*a**g = 0.
0
Let p(k) = -k**3 - 4*k**2 - 11*k - 2. Let l = -24 - -10. Let b(h) = -3*h**3 - 11*h**2 - 34*h - 7. Let u(y) = l*p(y) + 4*b(y). Factor u(x).
2*x*(x + 3)**2
Let y(t) = -2*t**3. Let m be y(-1). Let p be (-1 - -1) + (2 - 1). Find c, given that -p - 7*c**m + 3 - 4*c**2 - 7*c**2 = 0.
-1/3, 1/3
Let n(j) be the first derivative of -j**4/4 - 7. Suppose n(f) = 0. What is f?
0
Let w(a) = a**2 + a + 4. Let t be w(0). Let n(p) = 4 + t - 3 - 2 - 2*p. Let b(o) = -o**2 + o + 1. Let c(q) = 2*b(q) - 2*n(q). Determine j, given that c(j) = 0.
1, 2
Solve 9*q**5 - 14*q**5 + 40*q**2 + 24 - 14 + 10*q**3 - 10*q**4 + 35*q = 0 for q.
-1, 2
Let z(o) be the third derivative of -o**7/105 - o**6/60 + o**5/30 + o**4/12 - 54*o**2. Determine p so that z(p) = 0.
-1, 0, 1
Solve 4/3*u + 8/3 - 4/3*u**2 = 0 for u.
-1, 2
Let l be 2/4*(-16 - -6). Let p be 33/55 + 3/l. Factor 2/7 - 2/7*o**2 + p*o.
-2*(o - 1)*(o + 1)/7
Suppose 4*g - 28 = -2*n - 6, 4*n + g - 16 = 0. Let 8*a**2 - 3*a**2 + 8*a + 4 + 0*a + 0*a**n + a**3 = 0. What is a?
-2, -1
Let s(m) be the first derivative of -4/9*m**3 + m**2 + 1/30*m**5 + 0*m + 2 + 1/180*m**6 + 0*m**4. Let z(n) be the second derivative of s(n). Factor z(j).
2*(j - 1)*(j + 2)**2/3
Let x(g) = -2*g + 6. Let n be x(3). Let o be 2/(-5) - (-44)/60. Let n*i**3 + 1/3*i**5 + 0 + o*i**4 + 0*i**2 + 0*i = 0. What is i?
-1, 0
Determine l so that -15/2*l**2 - 54*l - 21/2 = 0.
-7, -1/5
Let a be (6 - 7)*10*(-2)/4. Find h, given that 10/3*h**a + 14/3*h**4 + 0*h + 0 + 4/3*h**3 + 0*h**2 = 0.
-1, -2/5, 0
Let h(r) be the third derivative of r**8/168 + r**7/21 + 7*r**6/60 - r**5/30 - 2*r**4/3 - 4*r**3/3 + 15*r**2. Let h(u) = 0. What is u?
-2, -1, 1
Let a(x) = -x**2 - 14*x + 4. Let g be a(-14). Determine h, given that h**g - h**2 - 1/3*h**5 - 1/3*h**3 + 2/3*h + 0 = 0.
-1, 0, 1, 2
Let f(r) be the second derivative of -1/5*r**2 + 1/25*r**5 - 2/15*r**3 + 0*r**4 - r + 0 + 1/75*r**6. Suppose f(b) = 0. Calculate b.
-1, 1
Factor -1/5*r**4 - 1/5*r**3 + 0 + 4/5*r + 4/5*r**2.
-r*(r - 2)*(r + 1)*(r + 2)/5
Let c(n) be the first derivative of -n**5/5 + n**4/4 + n**3/3 - n**2/2 - 3. Solve c(d) = 0 for d.
-1, 0, 1
What is r in 29/4*r**3 - 2 - 5*r - 21/4*r**4 + 19/2*r**2 = 0?
-1, -2/7, 2/3, 2
Suppose 4*o + 12 = 0, -3*m + 1 = -2*o - 14. Suppose 4*x - 2 = -2*p + p, -x - 6 = -m*p. Solve -8/3*f**5 - 2/3*f**3 + 0*f**p + 0 + 0*f - 10/3*f**4 = 0 for f.
-1, -1/4, 0
Let u(n) be the first derivative of -n**6/14 + 9*n**5/35 + 9*n**4/14 - 10*n**3/7 - 9*n**2/2 - 27*n/7 + 12. Suppose u(o) = 0. What is o?
-1, 3
Let u(v) be the third derivative of -v**10/151200 + v**8/33600 + v**4/24 + 5*v**2. Let x(y) be the second derivative of u(y). Suppose x(d) = 0. Calculate d.
-1, 0, 1
Factor 1/5*o**4 - 1/5*o**2 + 1/5*o - 1/5*o**3 + 0.
o*(o - 1)**2*(o + 1)/5
Factor 7/5*b**3 + 12/5*b**2 - 2/5 + 3/5*b.
(b + 1)**2*(7*b - 2)/5
Let o(f) be the first derivative of -2*f**3/15 - f**2/3 - 4*f/15 + 6. Suppose o(h) = 0. What is h?
-1, -2/3
Let d(m) be the third derivative of 1/96*m**4 + 0 + 1/240*m**5 + 0*m**3 - 9*m**2 + 0*m. Find l such that d(l) = 0.
-1, 0
Factor 1 + 0*x + 1/4*x**3 - 3/4*x**2.
(x - 2)**2*(x + 1)/4
Let u(s) be the first derivative of s**6/6 - 4*s**5/5 + s**4 + 2*s**3/3 - 5*s**2/2 + 2*s + 28. Solve u(q) = 0 for q.
-1, 1, 2
Let x(c) be the second derivative of -c**5/30 - c**4/6 + 4*c**2/3 - 5*c. Factor x(w).
-2*(w - 1)*(w + 2)**2/3
Let s = -18001985/893 + 20159. Let f = s + 8916/6251. Let -4/7*w + f*w**3 + 0 + 6/7*w**2 = 0. Calculate w.
-1, 0, 2/5
Factor -16*h + 16/3 + 12*h**2.
4*(3*h - 2)**2/3
Let f be (-2)/6 + 2*(-34)/(-192). Let w(m) be the third derivative of 1/120*m**5 - f*m**4 + 0*m - m**2 + 0 + 0*m**3. What is l in w(l) = 0?
0, 1
Let o be 50/60 + 3/(-9). Determine u so that 1/2*u**2 + 0 + o*u = 0.
-1, 0
Let f be 42/18 + (-1)/3. Find h such that h**3 + 2 - 2 + f*h**2 - 2*h**3 - h = 0.
0, 1
Let k(s) be the first derivative of -12*s**5/5 - 14*s**4 - 80*s**3/3 - 16*s**2 + 18. Factor k(x).
-4*x*(x + 2)**2*(3*x + 2)
Let m be (-2)/((10/(-3))/5). Let -u - 5 + 4*u + 7 + 0*u**m - u**3 = 0. What is u?
-1, 2
Let h(f) be the third derivative of f**5/12 - 25*f**4/12 + 15*f**3/2 + 2*f**2 - f. Determine v so that h(v) = 0.
1, 9
Let u(p) be the third derivative of -p**6/24 + p**5/4 + 5*p**4/24 - 5*p**3/2 + 18*p**2. Solve u(k) = 0.
-1, 1, 3
Solve 35*k**4 - 22*k + 150*k + 19*k**4 - 32 - 144*k**2 = 0 for k.
-2, 2/3
Let y = -163/90 - -11/6. Let d(l) be the second derivative of -1/9*l**3 - y*l**6 + 0*l**2 - 4*l + 0 + 1/30*l**5 + 1/18*l**4. Factor d(v).
-2*v*(v - 1)**2*(v + 1)/3
Factor -2/3*o + 0*o**3 + 0 - o**2 + 1/3*o**4.
o*(o - 2)*(o + 1)**2/3
Let p(b) be the first derivative of -2*b**5/5 + 4*b**4 - 44*b**3/3 + 24*b**2 - 18*b - 4. Solve p(i) = 0 for i.
1, 3
Let f(o) = 3*o**4 + 8*o**3 + 5*o**2. Let d(w) = -15*w**4 - 39*w**3 - 24*w**2. Let c(i) = 5*d(i) + 24*f(i). Let c(x) = 0. Calculate x.
-1, 0
Suppose 0 = -25*o + 26*o - 6. Let x(k) be the third derivative of 0*k + 0 + 1/60*k**5 - 1/120*k**o + 0*k**4 - 2*k**2 + 0*k**3. Suppose x(a) = 0. Calculate a.
0, 1
Let k(h) be the first derivative of h**3 - h**2/2 + 2. Let d(n) = -4 + n + 0*n**2 + 4 - 4*n**2. Let o(c) = -4*d(c) - 5*k(c). Let o(f) = 0. What is f?
-1, 0
Let x(h) be the second derivative of h**7/3780 - h**6/1620 + h**3/3 + 3*h. Let m(c) be the second derivative of x(c). Solve m(n) = 0.
0, 1
Let g(i) be the third derivative of 1/120*i**6 + 0 - 1/24*i**4 + 0*i - 1/210*i**7 + 0*i**3 + 1/60*i**5 + 9*i**2. Determine z so that g(z) = 0.
-1, 0, 1
Factor 6/5*c**3 - 24/5*c + 0 + 0*c**2.
6*c*(c - 2)*(c + 2)/5
Let v(d) = -d - 4. Let t be v(-