c) = 0 for c.
-2, 0, 1/5
Let k(l) = 7*l**2 - 2*l. Let f be k(2). Let c be (-16)/f*(-3)/5. Factor -c*g + 1/5*g**2 + 1/5.
(g - 1)**2/5
Let z(k) = -10*k**2 + 11 - k**2 + 6*k - k - 7*k**3 + 6*k - 5*k**4. Let l(m) = 2*m**4 + 2*m**3 + 4*m**2 - 4*m - 4. Let h(i) = -11*l(i) - 4*z(i). Factor h(g).
-2*g**3*(g - 3)
Let w(h) = 11*h**3 - 55*h**2 + 160*h - 140. Let x(m) = 155*m**3 - 770*m**2 + 2240*m - 1960. Let n(c) = -85*w(c) + 6*x(c). Factor n(y).
-5*(y - 7)*(y - 2)**2
Let f = 10936/11 + -994. Determine i so that 0 - f*i + 2/11*i**3 - 2/11*i**2 + 2/11*i**4 = 0.
-1, 0, 1
Suppose 65*v = 6 - 6. Let -4/5*h**3 + 0*h**2 + v + 4/5*h = 0. Calculate h.
-1, 0, 1
Let c(n) be the first derivative of n**3/3 - 2*n**2 + 3*n - 7. Factor c(d).
(d - 3)*(d - 1)
Let q = 19 - 19. Let o(h) be the first derivative of q*h + 2/3*h**3 + 0*h**2 - 3 - 1/2*h**4. Solve o(u) = 0.
0, 1
Let a = -1 + 9. Let y be a/(-28) + 2/7. Factor 0 + 3/4*q**4 + 3/4*q**3 + 1/4*q**2 + 1/4*q**5 + y*q.
q**2*(q + 1)**3/4
Suppose 2*o = -h + 1, 2*o + 4 = -2*o. Find n such that -25*n**5 - 6*n**4 - 2*n**2 + 22*n**5 + 2*n**2 - h*n**3 = 0.
-1, 0
Let z(n) be the first derivative of n**6/180 - n**5/90 - 2*n**2 + 3. Let f(g) be the second derivative of z(g). Factor f(u).
2*u**2*(u - 1)/3
Let z be 2/(-3) + 4/6. Suppose -3*p = r + 3*r - 4, -4*r = -4. Factor 2/5*j**5 + z + 0*j**2 + 2/5*j**4 + 0*j**3 + p*j.
2*j**4*(j + 1)/5
Factor 6*q**2 - 16*q - q**3 - 4*q**3 + q**3 + 10*q**2.
-4*q*(q - 2)**2
Let i be (9 - 0)*(15/9 - 1). Solve -12*p + i + 15/2*p**2 - 3/2*p**3 = 0.
1, 2
Let r(m) be the third derivative of 1/40*m**4 + 0*m + 2*m**2 + 0 - 1/75*m**5 + 1/30*m**3. Determine y so that r(y) = 0.
-1/4, 1
Let j = 140/219 + 2/73. Suppose -4*g + 8 = -0*g. Find x, given that -j*x**g - 4/3*x + 0 = 0.
-2, 0
Let i(z) be the first derivative of -1/2*z**3 - 3 + 2*z - 1/8*z**4 + 0*z**2. Determine v, given that i(v) = 0.
-2, 1
Let y = -3 - -9. Let q(o) be the second derivative of -2/3*o**3 + 1/5*o**5 + 0*o**4 - 2*o + o**2 + 0 - 1/15*o**y. Determine f, given that q(f) = 0.
-1, 1
Let y be -773*(-1 - (-7)/9). Let a = 172 - y. Determine d, given that a*d - 2/9*d**2 + 0 = 0.
0, 1
Determine q so that 0*q + 2/5*q**4 + 0*q**3 + 0 - 2/5*q**2 = 0.
-1, 0, 1
Let p(q) = 2*q**2 - 5*q - 4. Let m be p(4). Factor 3*n**2 - n**2 - 10*n**3 + m*n**3.
-2*n**2*(n - 1)
Let p(d) be the second derivative of 5*d**7/147 + 17*d**6/105 + 8*d**5/35 + 2*d**4/21 - d. Let p(n) = 0. What is n?
-2, -1, -2/5, 0
Let t(n) = 4*n**2 + 34*n + 14. Let u = -8 + 10. Let q(p) = 3 + u*p - p + 6*p + p**2. Let b(j) = -14*q(j) + 3*t(j). Factor b(l).
-2*l*(l - 2)
Let t = 80/117 + -6/13. Factor t*s**2 - 2/9*s - 4/9.
2*(s - 2)*(s + 1)/9
Let f = 22 + -15. Let w(y) be the third derivative of 0*y + 0*y**3 + 0*y**4 + 1/480*y**6 + 1/240*y**5 - 1/840*y**f + 0 + 2*y**2 - 1/1344*y**8. Factor w(s).
-s**2*(s - 1)*(s + 1)**2/4
Let m = -589/5 + 119. Factor 2/5*r**2 + 6/5*r**4 - m*r**3 + 0 + 0*r - 2/5*r**5.
-2*r**2*(r - 1)**3/5
Factor 0*p + 2/7*p**5 - 2/7*p**3 + 0*p**4 + 0 + 0*p**2.
2*p**3*(p - 1)*(p + 1)/7
Let u(r) = 12*r**2 - 21*r - 9. Let g(v) = -3*v**2 + 5*v + 2. Let q(a) = -9*g(a) - 2*u(a). Factor q(c).
3*c*(c - 1)
Let b(w) be the first derivative of -6*w**5/35 - 5*w**4/7 - 2*w**3/21 + 6*w**2/7 + 4. What is f in b(f) = 0?
-3, -1, 0, 2/3
Let l = 35 - 20. Let u(z) = -z**4 + 1. Let y(r) = 7*r**4 - r**3 - 2*r**2 + r - 5. Let v(g) = l*u(g) + 3*y(g). Factor v(t).
3*t*(t - 1)*(t + 1)*(2*t - 1)
Let k = 2/57 + 49/228. Factor -1/4*h - k*h**2 + 0.
-h*(h + 1)/4
Let q(y) = -2*y**4 + 3*y**3 - y**2 + 6*y. Let o(x) = -4*x**4 + 6*x**3 - 2*x**2 + 11*x. Let c(j) = -6*o(j) + 11*q(j). Find g such that c(g) = 0.
0, 1/2, 1
Let f be 5*((-84)/20 - -3). Let b(o) = 0 - 5*o - 5*o**2 + 0*o + 6. Let v(u) = 6*u**2 + 6*u - 7. Let n(w) = f*v(w) - 7*b(w). Suppose n(q) = 0. What is q?
-1, 0
Let f be (-3 + 4)/((-3 + 0)/(-6)). Determine l, given that -l - 1/4*l**f - 1 = 0.
-2
Let i(k) be the first derivative of -k**4/14 + 2*k**3/21 - 7. Find a such that i(a) = 0.
0, 1
Let x(t) be the first derivative of t**6/1440 - t**5/240 + t**4/96 - 2*t**3/3 + 3. Let a(r) be the third derivative of x(r). Factor a(m).
(m - 1)**2/4
Let d(x) = -5*x**2 - 31*x - 3. Let a be d(-6). Determine h, given that -1/4*h**2 - 1/4*h + 1/4*h**a + 1/4 = 0.
-1, 1
Suppose -u + 2 = -2. Let p(z) be the first derivative of -14/5*z**5 + 9/2*z**u - 4/3*z**3 + 2 + 0*z**2 + 0*z. Factor p(l).
-2*l**2*(l - 1)*(7*l - 2)
Factor 4/7*f + 0 - 2/7*f**2.
-2*f*(f - 2)/7
Let k(l) be the first derivative of l**4/2 - 8*l**3/3 + 5*l**2 - 4*l - 15. Factor k(w).
2*(w - 2)*(w - 1)**2
Suppose 0 = -7*w + 2*w + 5. Let h be (25/(-20))/(w/(-4)). Factor 0*f**4 - 2/3*f - 2/3*f**h + 4/3*f**3 + 0*f**2 + 0.
-2*f*(f - 1)**2*(f + 1)**2/3
Suppose -3*w + 0 = -9. Let a be 24/9 + (-2)/(-6). Factor -4*m + 2 + w*m**2 - a*m**2 - 2*m**4 + 4*m**3.
-2*(m - 1)**3*(m + 1)
Let y be 0/((-7)/(-1 - -8)). Let -1/2*k**2 + y*k + 1/2*k**4 + 3/2*k**5 + 0 - 3/2*k**3 = 0. What is k?
-1, -1/3, 0, 1
Let n(h) be the first derivative of -h**6/30 - h**5/5 - h**4/3 + 2*h + 3. Let i(a) be the first derivative of n(a). Let i(y) = 0. What is y?
-2, 0
Let m = -1 - -3. Suppose 0 = 3*f + 9, f - 4 = p + 4*f. Determine z so that -z**2 + p*z**2 - 3*z**m = 0.
0
Factor 63*u**4 - 33*u**4 - 4*u**3 - 34*u**4.
-4*u**3*(u + 1)
Let y(u) = -2*u**2 - u - 5. Let l(v) = -2*v**2 - 6. Let c(i) = 3*l(i) - 4*y(i). Factor c(q).
2*(q + 1)**2
Suppose -5*q - 2*d - 3*d = -40, 2*q - 20 = -3*d. Let 8 - 1 - q*x**2 + 1 + 6*x**2 - 8*x = 0. What is x?
2
Factor -3/4*y**3 - 6*y + 15/4*y**2 + 3.
-3*(y - 2)**2*(y - 1)/4
Let c(q) be the third derivative of q**6/780 - q**5/195 + q**4/156 + 2*q**2. Solve c(f) = 0 for f.
0, 1
Suppose 4*d = 3*d - 4*v - 24, 3*v + 3 = 0. Let r = d + 23. Factor 1/2 - 1/2*h**2 + 1/4*h**r - 1/4*h.
(h - 2)*(h - 1)*(h + 1)/4
Factor 128/7 + 2/7*x**3 + 96/7*x + 24/7*x**2.
2*(x + 4)**3/7
Let f = 19/85 + 3/17. Solve -f*m**2 + 0 - 4/5*m = 0 for m.
-2, 0
Let u = -4 - -6. Let n = -52 + 158/3. Factor -8/3*x - 8/3 - n*x**u.
-2*(x + 2)**2/3
Let x(z) be the third derivative of 0*z**4 + 0*z + 0 - 1/1260*z**6 - 1/420*z**5 + 2*z**2 + 1/2*z**3. Let y(r) be the first derivative of x(r). Factor y(d).
-2*d*(d + 1)/7
Let k = 865 + -865. Factor -2/15*x**3 + k - 2/15*x - 4/15*x**2.
-2*x*(x + 1)**2/15
Let 20/3*o**2 - 5/3*o - 5/3*o**3 - 10 = 0. Calculate o.
-1, 2, 3
Suppose -1 + 11 = 5*p. Suppose t - p*t = -4. Factor -5*l**4 + l**5 + l**5 + 3*l**t.
2*l**4*(l - 1)
Let k(q) be the first derivative of 1/3*q**3 - 1/5*q**5 + 1/4*q**4 + 3 + 0*q - 1/2*q**2. Factor k(f).
-f*(f - 1)**2*(f + 1)
Let s = -412019/540 + 763. Let f(a) be the third derivative of 0*a + 0 - 1/135*a**5 + 2/27*a**3 - a**2 - s*a**6 + 1/108*a**4. Solve f(i) = 0 for i.
-2, -1, 1
Suppose -2*h - 6 = -5*h + 3*f, -5*h - 5*f = -50. Let j be (-20)/(-6) - 4/h. What is g in 8/3 + 2/3*g**2 - j*g = 0?
2
Suppose 3*d + r + 29 = -2*d, 4*d + 19 = -5*r. Let q(z) = z**2 + 5*z - 4. Let g be q(d). Let -g*i**4 + 3 - 3 + 2*i**3 = 0. What is i?
0, 1
Let p(l) be the second derivative of -l**7/231 + l**6/55 - l**5/55 - l**4/33 + l**3/11 - l**2/11 - 8*l. Suppose p(x) = 0. What is x?
-1, 1
Let j(m) be the third derivative of -3/8*m**4 - 1/2*m**3 - 1/20*m**5 + 3/40*m**6 + 0*m + 1/35*m**7 - 3*m**2 + 0. Determine f so that j(f) = 0.
-1, -1/2, 1
Let w(d) = 5*d**2 - 7*d + 3. Let r(x) = 11*x**2 + 5*x - 5. Let a(u) = -7*u**2 - 3*u + 3. Let l(c) = -8*a(c) - 5*r(c). Let s(h) = 3*l(h) - w(h). Factor s(g).
-2*g*(g - 2)
Let i(q) be the second derivative of 5/24*q**4 + 0*q**2 + 0 - 1/10*q**5 - 1/12*q**3 + 2*q. Factor i(u).
-u*(u - 1)*(4*u - 1)/2
Let y = -672 - -3378/5. Let l be -6*(4/(-3) - -1). Factor 0 - 14/5*z**4 + y*z**3 + 0*z - 4/5*z**l.
-2*z**2*(z - 1)*(7*z - 2)/5
Find l, given that 9*l**2 - 6*l**2 + 3*l**4 + 0*l**2 - 6*l**3 = 0.
0, 1
Let f(o) be the second derivative of -o**6/15 + o**4/2 + 2*o**3/3 + 4*o. Determine k so that f(k) = 0.
-1, 0, 2
Let y(a) be the first derivative of a**3/9 - 10*a**2/3 + 100*a/3 - 1. Solve y(c) = 0.
10
Let q(u) be the third derivative of -u**8/2240 - u**7/280 - u**6/80 - u**5/40 + u**4/24 - u**2. Let a(s) be the second derivative of q(s). Factor a(w).
-3*(w + 1)**3
Let f be (-413)/102*4/(-7). Let w = f + 57/17. Solve 5/3*l**4 + 11/3*l + 2/3 + w*l**3 + 7*l**2 = 0.
-1, -2/5
Factor 2/13*x**2 + 2/13*x**3 - 12/1