2/7*n**4 - 2/7*n**5 + 0 + 0*n - 2/7*n**2 = 0. What is n?
-1, 0, 1
Factor -94*j**3 + 2*j**2 + 4*j**2 - 3*j + 91*j**3.
-3*j*(j - 1)**2
Let f = 1 + -4. Let s(u) = -2*u**2 - 4. Let k(a) = 3*a**2 + 5. Let v(h) = f*k(h) - 4*s(h). Factor v(r).
-(r - 1)*(r + 1)
Suppose -5*u - 2*u + 1 - u - 2*u**2 - 7 = 0. Calculate u.
-3, -1
Suppose 4*s - 20 = 3*s. Suppose f - s = 3*f - 5*a, -5*f + 3*a = 12. Solve 0 - 10/3*i**4 + 4/3*i**2 - 2*i**3 + f*i = 0 for i.
-1, 0, 2/5
Let s(k) be the third derivative of 0 + 0*k + 1/280*k**6 - 1/35*k**5 + 1/14*k**4 - 4*k**2 + 0*k**3. Suppose s(g) = 0. Calculate g.
0, 2
Let b(t) be the first derivative of 2*t**5/5 - 3*t**4/2 + 4*t**3/3 - 2. What is i in b(i) = 0?
0, 1, 2
What is s in 0 + 16 - 20*s**2 + 11 + 3 - 115*s = 0?
-6, 1/4
Let c(a) = -a - 2. Suppose -4*t = i + 15, -3*i = -2*t + 5*t. Let x be c(t). Find q, given that 0*q - 7/4*q**5 - 1/2*q**2 - 4*q**4 - 11/4*q**x + 0 = 0.
-1, -2/7, 0
Let b(k) be the first derivative of -k**6/1080 - k**5/180 - k**4/72 + 2*k**3/3 + 5. Let i(j) be the third derivative of b(j). Factor i(d).
-(d + 1)**2/3
Let s = -49 - -52. Let x(l) be the second derivative of 1/24*l**6 + 0*l**s + 0*l**2 - 3/80*l**5 + 3*l - 1/24*l**4 + 0. What is z in x(z) = 0?
-2/5, 0, 1
Let h(s) = -4*s + 15. Let w be h(3). Factor 0 + 4/7*t**2 + 2/7*t + 2/7*t**w.
2*t*(t + 1)**2/7
Let d(y) be the second derivative of 8*y**3 + 0 + 9/4*y**4 - 6*y**2 + 6*y. What is b in d(b) = 0?
-2, 2/9
Let w(m) be the first derivative of -11*m**3/3 - 3*m**2/2 - 5*m + 2. Let o(c) = 17*c**2 + 5*c + 8. Let i(k) = -5*o(k) - 8*w(k). Let i(a) = 0. Calculate a.
0, 1/3
Let p(y) be the second derivative of -2*y + 1/2*y**3 + 2*y**2 - 1/12*y**4 + 0. Factor p(n).
-(n - 4)*(n + 1)
Suppose -4*u + 16 + 36 = 0. Let l = u - 35/3. Factor 2/3*s**5 + 2/3*s**4 + 2/3 - 4/3*s**2 - l*s**3 + 2/3*s.
2*(s - 1)**2*(s + 1)**3/3
Let b(h) be the third derivative of -2*h**7/525 + h**5/75 - 4*h**2. Let b(i) = 0. What is i?
-1, 0, 1
Suppose 2 + 4 = x - 3*f, -3 = 3*f. Factor -16*n + 8 + 18*n**4 + 48*n**2 - 4*n**2 - 48*n**x - 6.
2*(n - 1)**2*(3*n - 1)**2
Let g(k) be the first derivative of -k**6/180 - k**5/45 - k**4/36 - 2*k**2 - 7. Let d(h) be the second derivative of g(h). Factor d(i).
-2*i*(i + 1)**2/3
Let 1/3*q**2 + 0*q - 1/6*q**3 + 0 = 0. What is q?
0, 2
Let r(z) be the first derivative of -2 + 1/3*z**4 - 1/10*z**5 - 1/3*z**3 + 0*z**2 - 2*z. Let g(m) be the first derivative of r(m). Find y such that g(y) = 0.
0, 1
Let q be (-20)/(-16)*-2 + 310/100. Factor q*d - 1/5*d**2 - 3/5*d**3 + 1/5.
-(d - 1)*(d + 1)*(3*d + 1)/5
Let v(r) be the second derivative of -r**7/39 - 2*r**6/15 - 17*r**5/65 - 8*r**4/39 + r**3/39 + 2*r**2/13 + 3*r. Factor v(d).
-2*(d + 1)**4*(7*d - 2)/13
Let c = -407/4 + 102. Let -c*u**3 + 1/4*u**5 + 1/4*u**4 - 1/4*u**2 + 0 + 0*u = 0. Calculate u.
-1, 0, 1
Suppose 16 = 5*f - 4. Let p = f + -2. Factor 0*o**3 - 3*o**3 + 2*o**3 - o + p*o**2.
-o*(o - 1)**2
Determine c so that 93*c**5 - 174*c**5 + 84*c**5 = 0.
0
Let o be (-1 - (-87)/27) + -2. Factor 2/3*i**3 - 2/3*i**2 + 0 + 2/9*i - o*i**4.
-2*i*(i - 1)**3/9
Let r(b) be the second derivative of -b**5/90 - b**4/36 + 2*b**3/9 + b**2/2 + 2*b. Let t(n) be the first derivative of r(n). Find w such that t(w) = 0.
-2, 1
Let j be 2 + (2 - 4 - -3). Let -z**3 + 9*z**2 - 2*z**3 - 12 + 6*z**j = 0. Calculate z.
-2, 1
Suppose -2*p - 10 = 3*p. Let z be p/4 + (-17)/(-18). Factor 2/9 + z*x + 2/9*x**2.
2*(x + 1)**2/9
Let s(b) be the second derivative of b**8/20160 + b**7/7560 - b**6/2160 - b**5/360 - b**4/4 - 4*b. Let x(h) be the third derivative of s(h). Factor x(i).
(i - 1)*(i + 1)**2/3
Let y(n) be the first derivative of -n**5 + 5*n**4 - 25*n**3/3 + 5*n**2 + 5. Factor y(w).
-5*w*(w - 2)*(w - 1)**2
Let t = 3 - 0. Suppose -t*b = -0*b - 6. Suppose 0*w - 1/4*w**b + 0 = 0. What is w?
0
Suppose -2*z + x = -0*x + 3, x - 3 = -4*z. Suppose z = -4*m - 4 + 12. Solve 4 - 2 - 4 + 3*g**4 + 5*g - 5*g**3 - g**m = 0 for g.
-1, 2/3, 1
Factor 4/9*g**3 + 2/9*g + 0 + 2/3*g**2.
2*g*(g + 1)*(2*g + 1)/9
Suppose 4*v + 19 = -0*g + 5*g, 2*v = 4*g - 20. Suppose -4*j = -g*j. Solve -2*y**3 + j*y + y**2 - 2*y + 3*y**2 = 0.
0, 1
What is b in -1/2*b**2 - 5/2 - 3*b = 0?
-5, -1
Let q(r) = r**3 - 6*r**2 + 5*r + 7. Let k be q(5). Suppose -4*n + k = -1. Solve f**2 - 6*f - f**3 - n + f - 5*f**2 = 0 for f.
-2, -1
Suppose -n + 7 = 2. Let b(p) = p**2 - 5*p - 4. Let c be b(n). Let s(y) = -y**2 + 2*y + 4. Let t(z) = z**2 - 2*z - 5. Let x(l) = c*t(l) - 5*s(l). Factor x(o).
o*(o - 2)
Determine n so that -47*n**2 - 25*n - 8 + 25*n - 48*n - 23*n**2 = 0.
-2/5, -2/7
Let k(i) be the third derivative of -3*i**2 + 0*i - 1/60*i**5 + 0 - 1/6*i**3 + 1/12*i**4. What is t in k(t) = 0?
1
Let p(d) = -24*d**2 + 9*d + 1. Let o(w) = w**2 - w + 1. Let k(l) = -o(l) + p(l). Factor k(u).
-5*u*(5*u - 2)
Let r(x) be the second derivative of x**8/1344 + x**7/210 + x**6/120 + x**2/2 - 2*x. Let n(k) be the first derivative of r(k). Solve n(a) = 0.
-2, 0
Let o(h) be the third derivative of -3*h**2 - 1/6*h**3 + 0*h + 1/120*h**5 + 0 - 1/48*h**4. Factor o(v).
(v - 2)*(v + 1)/2
Let y be 86*(-1)/(-28) - (4 - 1). Let n(d) be the second derivative of -4/21*d**3 - y*d**4 + 0 - d + 4/7*d**2. Factor n(l).
-2*(l + 2)*(3*l - 2)/7
Let s be (-54)/(-28)*((-330)/(-72) + -4). Let y(z) be the first derivative of 1/24*z**6 + 4/3*z**3 + s*z**2 + 7/8*z**4 + 1/2*z + 1 + 3/10*z**5. Factor y(d).
(d + 1)**4*(d + 2)/4
Suppose -13/3*h - 5/3*h**2 + 2 = 0. What is h?
-3, 2/5
What is w in 2/5*w + 77/10*w**3 + 0 - 121/10*w**4 + 4*w**2 = 0?
-2/11, 0, 1
Let c(a) be the second derivative of -4*a**4/27 - 2*a**3/27 - 24*a. Let c(l) = 0. Calculate l.
-1/4, 0
Let h(j) be the third derivative of -j**5/420 - j**4/168 + j**3/7 + 7*j**2. Suppose h(o) = 0. What is o?
-3, 2
Let h be 4/(-28)*1*(0 - 2). Let 2/7*w**2 + 0*w - h = 0. Calculate w.
-1, 1
Suppose -18*j - 24 + 2*j**2 + 4*j + 25 + 19 = 0. What is j?
2, 5
Let j(x) = -25*x - 7. Let l be j(-3). Let n be 1 + l/20 - 4. Factor 18/5 - 12/5*r + n*r**2.
2*(r - 3)**2/5
Let d(b) = 3*b**2 + 12*b - 6. Let i(r) = r**2 - 1. Let m(k) = d(k) - 6*i(k). Factor m(s).
-3*s*(s - 4)
Factor -16/3*v + 32 + 2/9*v**2.
2*(v - 12)**2/9
Let a = 90 - 628/7. Let x(l) be the first derivative of 2 - a*l + 2/21*l**3 + 1/14*l**4 - 1/7*l**2. Solve x(b) = 0 for b.
-1, 1
Let r(f) be the second derivative of 5*f**4/24 + 2*f**3/3 - f**2 + 3*f. Determine b so that r(b) = 0.
-2, 2/5
Let m(r) = -7*r**3 - 9*r**2 - 7*r - 5. Let y(p) = p**3 + p**2 + p + 1. Let g(h) = m(h) + 5*y(h). Find c, given that g(c) = 0.
-1, 0
Let t(i) be the second derivative of -i**7/252 + i**5/120 - 5*i. Factor t(f).
-f**3*(f - 1)*(f + 1)/6
Let d(l) be the third derivative of l**9/30240 - l**5/30 + 3*l**2. Let k(c) be the third derivative of d(c). Factor k(s).
2*s**3
Let i(w) = w**3 - 6*w**2 + 6*w - 6. Let z be i(5). Let n be (-6)/((-9)/(-3))*z. Find j such that 4 - 3*j**n + j**3 + 0 + 0 = 0.
-1, 2
Factor -4/13*m**3 + 2/13*m**5 - 2/13*m**4 + 0*m + 0 + 0*m**2.
2*m**3*(m - 2)*(m + 1)/13
Let h(l) = 5*l**4 + 29*l**3 + 50*l**2 - 35*l - 44. Let x(d) = 2*d**4 + 10*d**3 + 17*d**2 - 12*d - 15. Let q(t) = -6*h(t) + 17*x(t). Let q(v) = 0. What is v?
-1, 3/2
Let d(q) = 70*q**3 - 280*q**2 + 435*q - 140. Let k(h) = 5*h**3 - 20*h**2 + 31*h - 10. Let m(a) = -6*d(a) + 85*k(a). Factor m(u).
5*(u - 2)*(u - 1)**2
Let t(l) be the second derivative of l**2 - 1/105*l**7 - l + 1/30*l**6 + 0*l**3 + 0 - 1/30*l**5 + 0*l**4. Let g(c) be the first derivative of t(c). Factor g(d).
-2*d**2*(d - 1)**2
Suppose -4*a = -a. Let g = a + 5. Solve -i**2 - 1/5*i + i**4 - 3/5*i**3 + 4/5*i**g + 0 = 0.
-1, -1/4, 0, 1
Let c = 194/5 + -38. Factor 0 - c*m + 2/5*m**2.
2*m*(m - 2)/5
Let u(b) be the second derivative of 3*b**5/20 - b**4/2 + b**3/2 + 5*b. Factor u(a).
3*a*(a - 1)**2
Let 12*w**2 + w + 16*w - 9*w + 4*w**3 = 0. Calculate w.
-2, -1, 0
Let o be (-6)/(-10) - 18/30. Determine c so that o - 2/11*c**2 + 0*c = 0.
0
Let s be (-10)/55 + 0 + 146/77. Suppose s*i**3 - 2/7*i + 0 - 2/7*i**2 = 0. What is i?
-1/3, 0, 1/2
Let s(b) be the second derivative of -b**7/63 - b**6/180 + b**5/30 + b**4/72 - 10*b. Find x, given that s(x) = 0.
-1, -1/4, 0, 1
Let h(x) be the third derivative of 0*x**5 - 1/3*x**3 + 0*x + 0*x**4 + 3*x**2 - 1/360*x**6 + 0. Let k(o) be the first derivative of h(o). What is u in k(u) = 0?
0
Le