 1/4, 1
Let o(u) be the second derivative of -7/10*u**4 + 6*u + 7/75*u**6 + 4/5*u**2 + 0 + 1/25*u**5 + 8/15*u**3. Find q, given that o(q) = 0.
-2, -2/7, 1
Factor 1/2*j**3 - 5/2*j**2 + 7/2*j - 3/2.
(j - 3)*(j - 1)**2/2
Let p(y) be the third derivative of 1/60*y**5 - y**2 + 0*y - 1/60*y**6 + 1/210*y**7 + 0 + 0*y**4 + 0*y**3. Suppose p(r) = 0. Calculate r.
0, 1
Let k(y) be the first derivative of y**2 - 2/3*y**3 + 0*y - 1. Factor k(o).
-2*o*(o - 1)
Let b be (-4)/7*(-14)/(-30). Let w = b - -7/15. Factor x**4 + 1/5 + 2*x**2 - 2*x**3 - x - w*x**5.
-(x - 1)**5/5
Let h = -52 + 52. Let p(s) be the second derivative of 0 - s + h*s**3 - 1/40*s**5 + 0*s**2 - 1/48*s**4 - 1/120*s**6. Let p(l) = 0. Calculate l.
-1, 0
Let z = -1265/21684 + 9/139. Let f(d) be the third derivative of 0*d**5 + 1/780*d**6 - z*d**4 + 0*d**3 + 0*d + 4*d**2 + 0. Factor f(b).
2*b*(b - 1)*(b + 1)/13
Let s = -5 - -7. Factor -j**3 + 0*j**3 - 2*j**2 - j**2 + 2*j**s.
-j**2*(j + 1)
Let m(q) be the second derivative of 4/3*q**3 - 11/6*q**4 + 6/5*q**5 + 0 + 2*q - 1/2*q**2 - 3/10*q**6. Factor m(a).
-(a - 1)**2*(3*a - 1)**2
Let r = -349 + 1403/4. Let o = -5/4 + r. Factor o*k + 0 - 1/2*k**2.
-k*(k - 1)/2
Suppose -1/4*f**4 - f**5 + f**3 + 0*f + 1/4*f**2 + 0 = 0. Calculate f.
-1, -1/4, 0, 1
Let y(q) = q - 1. Let f be y(3). Factor 2*x**f - 3*x**4 - 2*x + 5*x - 2*x**3 - 5*x**5 + 1 + 4*x**5.
-(x - 1)*(x + 1)**4
Let f = -163 - -165. Factor 3/2*k**3 + f*k**2 + 0 - 2*k.
k*(k + 2)*(3*k - 2)/2
Let t(k) be the third derivative of 1/96*k**4 - 3*k**2 - 1/1344*k**8 - 1/120*k**5 + 0*k**3 + 1/420*k**7 + 0 + 0*k + 0*k**6. What is i in t(i) = 0?
-1, 0, 1
Let d(h) be the third derivative of -h**8/40320 + h**7/2520 - h**6/360 + h**5/60 - h**2. Let p(u) be the third derivative of d(u). Suppose p(x) = 0. What is x?
2
Let d(s) = -10*s**3 - s**2 - 8*s + 12. Let m(n) = n**3. Let f(i) = -2*d(i) - 22*m(i). Solve f(v) = 0 for v.
-3, 2
Let j be 0 + (1 - (-2 + 3)). Suppose 0 = -j*c - 4*c + 8. Determine r, given that -10*r**2 - 2*r - 14*r**3 - c*r**4 - 4*r**4 + 0*r = 0.
-1, -1/3, 0
Let f = 137/10 - 66/5. Let 0*s**2 + 0 + f*s**3 - 1/2*s = 0. Calculate s.
-1, 0, 1
Let m(b) = -b**2 + 4. Let g be m(0). Suppose g*a + 15 - 27 = 0. Suppose 45/4*l**2 + 21/4*l**4 - 3/2 + 3/4*l + 57/4*l**a = 0. What is l?
-1, 2/7
Let r(j) = j**4 + j**3 - 1. Suppose 2*b - 8 + 0 = 0. Let l(c) = 2*c**3 - 5*c**b + 1 + 0*c**3 + 1 - c**2. Let u(y) = -2*l(y) - 4*r(y). Find x such that u(x) = 0.
0, 1/3, 1
Let k = -4 + 7. What is l in l**2 + 0*l**2 - k*l + 4*l - 2 = 0?
-2, 1
Let r(o) = 20*o**4 - 25*o**3 + 25*o**2 - 35*o. Let i(z) = z**4 - z**2 - z. Let x(y) = 15*i(y) - r(y). Factor x(t).
-5*t*(t - 2)**2*(t - 1)
Let a(l) be the third derivative of l**6/960 + l**5/480 - l**4/192 - l**3/48 + 46*l**2. Let a(j) = 0. What is j?
-1, 1
Let y(l) be the third derivative of 0*l + 1/45*l**5 + 0*l**4 + 1/315*l**7 + 0*l**3 + 1/60*l**6 + 0 + 3*l**2. Determine n so that y(n) = 0.
-2, -1, 0
Let z(v) be the second derivative of -v**5/120 - v**4/18 + 5*v**3/36 + 22*v. Factor z(j).
-j*(j - 1)*(j + 5)/6
Factor -12*q + 0*q + 4*q**3 - 3 + 11.
4*(q - 1)**2*(q + 2)
Let j(m) be the second derivative of m**9/10584 + m**8/2940 - m**6/630 - m**5/420 - m**3/6 + 2*m. Let w(b) be the second derivative of j(b). Factor w(u).
2*u*(u - 1)*(u + 1)**3/7
Let y be (((-15)/(-18))/5)/((-1)/(-4)). Factor -1/3*m**2 + 0 + y*m.
-m*(m - 2)/3
Let 15/4*d**3 - 3/2*d**2 + 3/2 - 15/4*d = 0. What is d?
-1, 2/5, 1
Let f(r) = -4*r - 27. Let p be f(-8). Let i(a) be the second derivative of 0*a**4 + 0*a**3 + a + 0*a**2 + 0 - 1/40*a**p. Determine b, given that i(b) = 0.
0
Let l(z) be the second derivative of -z**7/840 - z**6/180 + z**5/40 - z**3/6 + 5*z. Let f(n) be the second derivative of l(n). Factor f(p).
-p*(p - 1)*(p + 3)
Suppose -13 = i - 4*q, -5*i + 4*q - 2*q = -7. Determine g so that g - g + i*g**3 - 4*g**3 + g**4 = 0.
0, 1
Let i(a) be the second derivative of -3*a + 1/4*a**2 + 0*a**3 + 0 - 1/24*a**4. Let i(c) = 0. What is c?
-1, 1
Let m(n) be the first derivative of -3*n**2 + 3. Let b be m(-3). Let -4*g**2 - 18 + 2*g**3 + b = 0. What is g?
0, 2
Let m(r) be the first derivative of 3*r**5 + 17*r**4/4 - 13*r**3/3 - 17*r**2/2 - 2*r + 10. Determine a so that m(a) = 0.
-1, -2/15, 1
Let f = 48 + -47. Let g be f - (35/(-10))/(-7). Suppose -1/2 + g*w**2 + 0*w = 0. What is w?
-1, 1
Let g(u) = 30*u**2 - 14*u. Suppose 2 + 2 = -4*d. Let z(n) = 2*n**2 + 2 + n - 3 - 3*n**2. Let k(v) = d*g(v) + 2*z(v). Factor k(i).
-2*(4*i - 1)**2
Let q = 289/4 - 72. Let y(u) be the second derivative of -4*u + 0*u**2 + 1/10*u**6 + 0 + 3/10*u**5 + 0*u**3 + q*u**4. Solve y(m) = 0.
-1, 0
Let b(d) be the first derivative of -d**5/40 - d**4/32 + d**3/8 + 5*d**2/16 + d/4 - 2. Factor b(o).
-(o - 2)*(o + 1)**3/8
Let l(u) = 4*u**3 - 3*u**2 + 6*u - 7. Let s(g) = -6*g + 6*g**2 + 8 + 0*g**2 - 2*g**2 - g - 5*g**3. Let t(w) = -7*l(w) - 6*s(w). Factor t(k).
(k - 1)**2*(2*k + 1)
Factor 5*y**3 + 9*y**3 - 12*y**3 - 2*y**2.
2*y**2*(y - 1)
What is j in j**4 + 0 - 3/4*j**2 + 0*j + 11/4*j**3 = 0?
-3, 0, 1/4
Let f(l) be the second derivative of -l**5/60 + l**3/18 - 2*l. What is u in f(u) = 0?
-1, 0, 1
Factor 0 - 10/3*a**3 - 4/3*a**2 + 0*a.
-2*a**2*(5*a + 2)/3
Let -1/9*r**5 - 1/3*r**3 + 0*r - 1/3*r**4 - 1/9*r**2 + 0 = 0. What is r?
-1, 0
Let v(m) = m**2 - 13*m - 4. Let r(x) = -x**3 + x**2 + 6*x - 6. Let o be r(3). Let q(g) = -g**2 + 7*g + 2. Let y(c) = o*v(c) - 10*q(c). Factor y(b).
4*(b + 1)**2
Let t(x) be the first derivative of x**4/8 - x**3 + 9*x**2/4 + 4. Let t(y) = 0. Calculate y.
0, 3
Let n be (-4)/(-2) - -6 - -1. Factor -3 + 3*q**3 + 4*q + 3*q - n*q**2 + 2*q.
3*(q - 1)**3
Let s be (((-10)/8)/5 + 0)*-6. Suppose 0*l**2 + s*l - 3/2*l**3 + 0 = 0. What is l?
-1, 0, 1
Let d be ((-99)/12 - -9)/(1/4). Factor 0*t - 2/7*t**4 - 4/7*t**d + 0 - 2/7*t**2.
-2*t**2*(t + 1)**2/7
Let r be 5 + 5/((-10)/4). Suppose -2*o - 9 = -r*o. Let 0*c**2 - c + 6*c**2 - 5*c - 3 - o*c**2 = 0. What is c?
-1
Let n = -3/11 + 26/55. Suppose 0*r**2 - 3/5*r + 2/5 + n*r**3 = 0. What is r?
-2, 1
Suppose -5 = q - 0*q. Let u be (-10)/(-25)*q/(-8). Factor -u*b**2 - 1/4*b + 0.
-b*(b + 1)/4
Suppose 0 = -2*h - 0*h. Suppose 3*q - 8 = -3*w + 7*q, -4*q - 8 = h. Factor 2/3*i**4 + 2/3*i**2 + 0*i + 4/3*i**3 + w.
2*i**2*(i + 1)**2/3
Let q be 0 + (3/(-3) - -1). Let x(p) be the first derivative of -1 - 1/4*p**6 + 0*p**5 + 3/4*p**4 - 3/4*p**2 + q*p + 0*p**3. Solve x(b) = 0 for b.
-1, 0, 1
Let u be 4/1 + 7/(-2). Factor 1/2*i - i**2 + 0 + u*i**3.
i*(i - 1)**2/2
Let z(k) be the third derivative of k**7/315 + k**6/108 + k**5/270 - k**4/108 - 13*k**2. Let z(c) = 0. Calculate c.
-1, 0, 1/3
Factor 2/13*x**2 - 2/13*x**3 + 0*x + 0 - 12/13*x**4.
-2*x**2*(2*x + 1)*(3*x - 1)/13
Determine j so that 0*j - 2/7*j**3 + 2/7*j**5 + 2/7*j**4 + 0 - 2/7*j**2 = 0.
-1, 0, 1
Suppose 22 = 3*p + 4. Let q = p - 3. Factor -3*d - 4*d**3 - 8 + 9*d - 2*d**2 + 6 + 4*d**4 - 2*d**q.
2*(d - 1)**2*(d + 1)*(2*d - 1)
Let c(l) = 17*l**5 - 5*l**4 - 11*l + 11. Let b(r) = -6*r**5 + 2*r**4 + 4*r - 4. Let a(n) = 11*b(n) + 4*c(n). Factor a(y).
2*y**4*(y + 1)
Suppose 3 = 2*x - 7. Suppose 0 = -4*h + 3*h + 3*t, -h + x*t = 0. Factor h - 2/13*u + 2/13*u**2.
2*u*(u - 1)/13
Let v(y) = 3*y**3. Let x(s) be the second derivative of -3*s**5/20 - s**4/12 - s**3/6 + s**2/2 + 2*s. Let r = 34 + -38. Let f(m) = r*v(m) - 3*x(m). Factor f(l).
-3*(l - 1)**2*(l + 1)
Let g be 6/(-1)*(-7 - -6). Let v be 20 + 5/((-15)/g). Find q such that q**3 + v*q**2 + 0*q - 4*q - 11*q**3 + 14*q**5 - 18*q**4 + 0*q = 0.
-1, 0, 2/7, 1
Suppose 0 = 2*n + 3*q + 3, 3*n - 18 = -n + 2*q. Suppose -h = -2*x + 2, -n = -2*x - h + 3. Factor -2*s**x - 2 + 2 + 0.
-2*s**2
Let q be (42 + 0)*(-6)/(-12). Let b be 4*(-3 + q/6). Let 0 - 2/3*s + 5/3*s**b = 0. Calculate s.
0, 2/5
Let l(y) be the third derivative of -y**7/8820 + y**6/1260 - y**5/420 + y**4/12 + 7*y**2. Let u(n) be the second derivative of l(n). Solve u(q) = 0.
1
Factor 0*n**2 - 3/2*n**5 + 2*n**4 + 0*n - 1/2*n**3 + 0.
-n**3*(n - 1)*(3*n - 1)/2
Let w = 13391/3 - 4524. Let b = 61 + w. Factor -2/3*x**2 + 0 + 2/3*x**4 - b*x**3 + 2/3*x.
2*x*(x - 1)**2*(x + 1)/3
Let f(j) be the second derivative of j**5/90 - 5*j**4/108 - 2*j**3/27 + j**2 + 3*j. Let o(c) be the first derivative of f(c). Let o(h) = 0. What is h?
-1/3, 2
Let d(r) be the first derivative of