 k(u) = 2*u**2 - 4*u + 3. Let y be k(3). Let a = y + -6. Factor 2*c**3 - 2*c**4 - a*c**3 + c**3 + 5*c**5.
c**4*(5*c - 2)
Let l(j) be the third derivative of j**6/40 - j**5/5 + 3*j**4/8 + 17*j**2. Solve l(m) = 0.
0, 1, 3
Let i(r) be the third derivative of r**6/360 + r**5/60 + r**4/24 - r**3/3 + r**2. Let t(k) be the first derivative of i(k). Let t(a) = 0. What is a?
-1
Let v be ((-20)/15)/(0 - (-4 - -6)). Solve v + 1/3*z**3 + 0*z**2 - z = 0.
-2, 1
Let d = 179 - 177. Solve 2/5*f**d - 4/5*f + 2/5 = 0 for f.
1
Suppose 0 + 1/7*m + 1/7*m**2 = 0. What is m?
-1, 0
Solve -10*j**3 + 0*j - 15/2*j**4 - 2*j**5 + 1/2 - 5*j**2 = 0.
-1, 1/4
Let k = 77/6 + -361/30. Factor 2/5*h**4 + k*h**3 - 4/5*h + 0*h**2 - 2/5.
2*(h - 1)*(h + 1)**3/5
Suppose -5*x = 15, -2 = -4*p - 2*x - 0. Factor 0 + 0*n - 2/9*n**p.
-2*n**2/9
Let k(h) = -h**4 - h**3. Let j(a) = 10*a**4 - 16*a**3 - 2*a**2 + 4*a. Let r(t) = -j(t) + 2*k(t). Find n, given that r(n) = 0.
-1/2, 0, 2/3, 1
Let w(s) be the second derivative of 7/5*s**6 + 2*s - 1/6*s**4 + 0*s**2 + 11/5*s**5 + 0 - 2/3*s**3. Solve w(m) = 0.
-1, -1/3, 0, 2/7
Let z be 8/(-392)*-2*14. Let u(t) = -t**3 - t**2 + t + 2. Let m be u(0). Solve 6/7*k + 2/7*k**m + z = 0 for k.
-2, -1
Let q(b) be the third derivative of b**6/960 + b**5/480 - b**4/96 + 17*b**2. Solve q(p) = 0 for p.
-2, 0, 1
Let a(y) be the third derivative of 5/3*y**4 + 0 - y**2 + 4/3*y**3 + 0*y + 5/6*y**5. Suppose a(g) = 0. Calculate g.
-2/5
Let s(f) be the second derivative of f**7/84 - 3*f**5/40 - f**4/12 - 7*f. Factor s(v).
v**2*(v - 2)*(v + 1)**2/2
Let u(j) be the first derivative of -1 - 1/30*j**5 + 1/12*j**4 + j**2 + 0*j + 0*j**3. Let c(h) be the second derivative of u(h). What is w in c(w) = 0?
0, 1
Suppose 3*p - 2 = -8. Let s = p - -2. What is r in s*r**2 - r**2 + 3*r**2 - 2*r**4 = 0?
-1, 0, 1
Let l(m) = 2*m - 8. Let w be l(8). Factor -3 + w*i + 5*i**2 - i**2 + 7.
4*(i + 1)**2
Let n(v) be the first derivative of 0*v - 2/3*v**3 + 0*v**2 + 6 - 1/2*v**4. Factor n(o).
-2*o**2*(o + 1)
Let n(c) = c**2 - c - 1. Let a(w) = 3*w**4 + 3*w**3 - 11*w**2 - 13*w - 4. Let l(u) = a(u) + 2*n(u). Suppose l(m) = 0. Calculate m.
-1, 2
Let q(r) be the second derivative of -3*r**5/5 - r**4/4 + 8*r**3 + 6*r**2 + 4*r. Factor q(f).
-3*(f - 2)*(f + 2)*(4*f + 1)
Let d(o) = 5*o**2 - 6*o + 7. Let j = -13 - -7. Let t(u) = 1 - 2 - 12*u**2 + u + 11*u**2. Let p(i) = j*t(i) - d(i). Solve p(k) = 0 for k.
-1, 1
Let o(d) be the second derivative of -d**6/30 + d**5/10 + d**4/12 - d**3/3 + 5*d. Suppose o(u) = 0. What is u?
-1, 0, 1, 2
Suppose -2*g - 7*g = 0. Suppose g*p + 0 + 2/5*p**3 + 4/5*p**2 = 0. Calculate p.
-2, 0
Let u(j) be the second derivative of j**5/120 + 11*j**4/72 + 5*j**3/18 + 3*j. Let u(v) = 0. Calculate v.
-10, -1, 0
Let l(k) = k**3 - 8*k**2 + 9*k - 10. Let q be l(7). Let -2*i**2 - i**q + 4*i**5 + i**4 - 10*i**4 + 12*i**3 - 4*i**3 = 0. What is i?
0, 1/2, 1
Let z be 126/30 - 4/(-5). Let y(w) be the third derivative of 0 - 3*w**2 + 0*w**4 + 0*w + 0*w**3 - 1/200*w**6 + 1/100*w**z. Factor y(x).
-3*x**2*(x - 1)/5
Let h(b) = 1. Let v = 5 + -10. Let f(y) = y**2 + y - 5. Let n be ((-2)/4)/(4/8). Let l(u) = n*f(u) + v*h(u). Solve l(s) = 0.
-1, 0
Let u(h) be the second derivative of h**4/72 - h**3/12 + 4*h. Suppose u(a) = 0. Calculate a.
0, 3
Suppose 0*m + 45 = 5*m. Factor -i + 6*i - 6*i**3 + 2*i + 4 - 3*i + m*i**4 - 11*i**2.
(i - 1)**2*(3*i + 2)**2
Let z(i) = -37*i**2 + 57*i - 20. Let w(c) = -c**2 + c. Let h(v) = -2*w(v) + z(v). Factor h(f).
-5*(f - 1)*(7*f - 4)
Let h = -11 + 19. Suppose 6 - 42*j**3 + 4*j + 16*j**4 + 48*j**2 - 3*j**5 - h*j + 2*j**4 - 23*j = 0. Calculate j.
1, 2
Let b(l) be the third derivative of 0 + l**2 + 1/8*l**4 + 0*l**3 + 1/20*l**5 + 0*l. Factor b(x).
3*x*(x + 1)
Factor 2 + 1/2*x**2 + 2*x.
(x + 2)**2/2
Let q(d) be the second derivative of 1/4*d**4 + 0*d**3 + 3/10*d**6 + 0*d**2 + 0 + 9/20*d**5 + 1/14*d**7 - 4*d. Factor q(t).
3*t**2*(t + 1)**3
Let p(y) = -y**3 + y**2 + y - 1. Let g(u) = 4*u**3 - 4*u**2 - 3*u + 5. Let z(x) = g(x) + 5*p(x). Find l, given that z(l) = 0.
-1, 0, 2
Suppose 23*d - 25 - 21 = 0. Let q(b) be the third derivative of 0 - 4*b**d + 0*b**4 + 0*b**6 + 0*b + 1/105*b**5 - 1/21*b**3 - 1/735*b**7. Factor q(r).
-2*(r - 1)**2*(r + 1)**2/7
Let u be 2/(-2) + (1 + -7)/(-6). Determine w, given that u + 0*w - 1/2*w**2 = 0.
0
Let a(i) be the second derivative of -4*i**2 + 8/3*i**3 - 3*i + 0 + 59/6*i**4 - 63/10*i**5. Determine v so that a(v) = 0.
-2/7, 2/9, 1
Let u be (134/2)/(-1 + 6). Let o = u - 13. Factor -o*g**3 - 2/5*g**2 + 0*g + 0.
-2*g**2*(g + 1)/5
Let a(y) be the second derivative of 0 - 1/66*y**4 - 2*y + 1/11*y**2 - 1/33*y**3 + 1/110*y**5. Factor a(p).
2*(p - 1)**2*(p + 1)/11
Let f = -1/75 - -101/75. Let y be ((-4)/(-30))/((-1)/(-5)). Factor y*j**2 - 2/3*j**3 + 0 + f*j.
-2*j*(j - 2)*(j + 1)/3
Let j(x) be the third derivative of x**5/20 + x**4/4 - x**2. Factor j(i).
3*i*(i + 2)
Let l(h) be the second derivative of h**6/90 + h**5/15 - h**4/2 + 3*h**3/2 - 7*h. Let f(m) be the second derivative of l(m). Suppose f(s) = 0. Calculate s.
-3, 1
Let l(x) = 2*x**2 - 3*x. Let b be l(2). What is n in -n**b - 1/2 - 3/2*n = 0?
-1, -1/2
Suppose 0 = 3*l - 19 + 10. Suppose 4*p - 20 = 0, -l*x + 6*p - 2*p - 5 = 0. Factor 1/2*z**4 + 0*z**3 + 0*z + 0*z**2 + 0 - 1/2*z**x.
-z**4*(z - 1)/2
Let x(f) = -f**3 - 54*f**2 + 56*f + 58. Let z be x(-55). Factor 0*a + 16/3 - 4/3*a**z - 4*a**2.
-4*(a - 1)*(a + 2)**2/3
Let x = 918/1631 - -2/233. Solve -2/7*u**2 + x*u**4 - 6/7*u - 2/7 + 6/7*u**3 = 0.
-1, -1/2, 1
Let a(w) = 6*w**3 + 5*w + 11. Let u be (8 + 12/4)*1. Let j(g) = -2*g**3 - 2*g - 4. Let i(v) = u*j(v) + 4*a(v). Suppose i(p) = 0. What is p?
-1, 0, 1
Let r(u) be the first derivative of 4 + 0*u**2 + 0*u - 1/12*u**3. Find s such that r(s) = 0.
0
Suppose f**2 + 0*f**2 - 8 + 4*f + f**2 + 2*f**2 = 0. What is f?
-2, 1
Let n(k) be the first derivative of 5 + k - 1/6*k**3 - 3/8*k**4 - 1/10*k**5 + 3/4*k**2. Find y such that n(y) = 0.
-2, -1, 1
Let f(i) be the first derivative of -i**3 - 3*i**2 - 3*i + 20. Factor f(g).
-3*(g + 1)**2
Let y(s) be the second derivative of 1/84*s**7 + 1/10*s**5 - 7*s + 0*s**3 + 0*s**2 - 1/15*s**6 + 0*s**4 + 0. Factor y(l).
l**3*(l - 2)**2/2
Let j(v) be the second derivative of 1/21*v**7 + 0 + 0*v**5 - 1/3*v**3 - 2*v + 0*v**2 + 1/3*v**4 - 2/15*v**6. Suppose j(g) = 0. Calculate g.
-1, 0, 1
Let j(v) be the second derivative of -v**5/50 + 2*v**4/15 - v**3/3 + 2*v**2/5 - 5*v. Find n, given that j(n) = 0.
1, 2
What is k in -3*k - 7*k + k - 4*k**4 + 12*k**2 + k = 0?
-2, 0, 1
Find z, given that 2*z**5 + z + 31*z**2 - 1 - 29*z**2 - 3*z**5 + 2*z**3 - 2*z - z**4 = 0.
-1, 1
Let a(z) be the third derivative of 0*z**3 + 0*z + 1/120*z**5 + 0*z**4 - 1/420*z**7 + 2*z**2 - 1/240*z**6 + 1/672*z**8 + 0. Factor a(w).
w**2*(w - 1)**2*(w + 1)/2
Let g be (-49)/(-4) - (-6)/(-24). Suppose 15*m**3 + m**2 - 3*m**4 + 10*m**5 + 2*m**2 - 24*m + g - 13*m**5 = 0. Calculate m.
-2, 1
Let c(p) = -5*p + 2. Let o be c(1). Let v(t) = -t**3 + t - 1. Let r(m) = 6*m**3 + 2*m**2 - 8*m + 7. Let y(x) = o*r(x) - 21*v(x). Determine q so that y(q) = 0.
0, 1
Factor -64 + 2*v**2 - 1585*v + 1617*v - 6*v**2.
-4*(v - 4)**2
Let a be (-1 + 1)*(-8)/(-16). Let d(u) be the third derivative of 0*u**4 + 0*u**3 + 0 + 1/120*u**6 + a*u + 1/120*u**5 - u**2 + 1/420*u**7. Factor d(c).
c**2*(c + 1)**2/2
Factor -1 + 0*f**2 - 3/2*f + 1/2*f**3.
(f - 2)*(f + 1)**2/2
Suppose -3*u + 3 + 15 = 3*a, 5*u = 15. Let g(b) be the third derivative of 2/9*b**a - 7/180*b**5 + 0*b + 3*b**2 + 0 - 1/6*b**4. Let g(k) = 0. What is k?
-2, 2/7
Let o(r) = r**2 + 12*r - 10. Let a be o(-14). Let x be (2/(-6))/((-1)/a). Factor -4/3 - 8/3*w**2 + x*w.
-2*(w - 2)*(4*w - 1)/3
Let r be 87/(-27) - 6/(-27). Let d be ((-3)/r)/1*3. Factor 4*w**2 - 3*w**d + 0*w**3 + w**3.
-2*w**2*(w - 2)
Let x be (75/42 + -2)/(15/(-10)). Let s(h) be the second derivative of -1/7*h**2 - 1/70*h**5 - x*h**3 - 2*h - 1/14*h**4 + 0. Factor s(t).
-2*(t + 1)**3/7
Let w(y) be the third derivative of -169*y**7/840 - 91*y**6/96 - 31*y**5/40 + 23*y**4/24 - y**3/3 + 2*y**2. What is c in w(c) = 0?
-2, -1, 2/13
Let z be (-4)/(-14) - (-162)/21. Let y = 17/2 - z. Find x such that -21/2*x**3 + 9/2*x + 1 + y*x**2 + 9/2*x**4 = 0.
-1/3, 1, 2
Suppose -5*p = i - 5 - 9, 5*p = 5*i - 10. Let t(w) be the second derivative