4/7*f**4 = 0?
-1, -2/11
What is z in -27/5*z + 3/5*z**4 - 21/5*z**3 + 9*z**2 + 0 = 0?
0, 1, 3
Factor -1/7*d**2 - 3/7*d + 3/7*d**3 + 0 + 1/7*d**4.
d*(d - 1)*(d + 1)*(d + 3)/7
Suppose 3*v = -15, -3*b + v + 24 = -2*v. Factor 17 + 2*l**2 + 2*l**4 - 4*l**b - 17.
2*l**2*(l - 1)**2
Factor 0 + 1/4*p**3 - 1/2*p**2 + 0*p.
p**2*(p - 2)/4
Let p(l) be the second derivative of -l**7/231 - l**6/165 - 7*l. Factor p(t).
-2*t**4*(t + 1)/11
Factor -2/3*w**2 + 0 + 2/3*w.
-2*w*(w - 1)/3
Let c(y) = y**3 + 6*y**2 + 5*y + 6. Let v be c(-5). Let 4*h - h - 2*h**3 + 2 - 9*h + v*h**2 = 0. Calculate h.
1
Let x(l) be the second derivative of -l**6/10 + 5*l**4/4 - 6*l**2 - 2*l - 1. Let x(h) = 0. Calculate h.
-2, -1, 1, 2
Let t(c) be the second derivative of -3*c**5/80 + c**3/2 + 44*c. Factor t(p).
-3*p*(p - 2)*(p + 2)/4
Let v(y) be the first derivative of 4*y**2 + 0*y - 8/3*y**3 - 4 + 1/2*y**4. Let v(t) = 0. Calculate t.
0, 2
Let w = 55 + -164/3. Factor 2/3*i + 0 + w*i**2.
i*(i + 2)/3
Let j be 200/48 + (-1)/6. Suppose -c = j*c. Suppose 2/3*x**5 - 4/9*x**4 + c - 2/3*x**3 + 4/9*x**2 + 0*x = 0. What is x?
-1, 0, 2/3, 1
Let a(t) be the second derivative of 0 - 2*t + 2*t**3 - 9*t**4 + 7/2*t**7 - 63/5*t**6 + 0*t**2 + 327/20*t**5. Solve a(s) = 0 for s.
0, 2/7, 1
Let c(u) be the third derivative of -u**8/336 - u**7/105 + u**6/60 + u**5/15 - u**4/24 - u**3/3 - 7*u**2. Factor c(r).
-(r - 1)**2*(r + 1)**2*(r + 2)
Let k be (4/3)/(4/18). Suppose 3*p + 0*p = k. Factor -h - 3*h**4 + 6*h**p - 6*h**3 + 5*h**4 - h.
2*h*(h - 1)**3
Let y(x) be the third derivative of -x**4/12 - 2*x**3/3 - x**2. Let f be y(-3). Factor -3*a**2 + 0*a**3 - 2*a**3 - a**2 - f*a + 0*a**3.
-2*a*(a + 1)**2
Let b(p) = -p**5 + 7*p**4 - 19*p**3 + 18*p**2 - 9*p + 4. Let h(c) = -c**5 + 7*c**4 - 19*c**3 + 19*c**2 - 10*c + 4. Let x(k) = 6*b(k) - 7*h(k). Factor x(i).
(i - 2)**2*(i - 1)**3
Let o = 45 + -43. Factor r - 1/2 - 1/2*r**o.
-(r - 1)**2/2
Let q be (3/3)/((-2)/16). Let k(d) = -d - 6. Let y be k(q). Solve -40*b - 14*b**3 - 16 - 27*b**2 - 22*b**2 + 13*b**2 - y*b**4 = 0.
-2, -1
Let r(k) = 2*k**2 - 4*k + 2. Let c(v) = -2*v**2 + 5*v - 3. Let h(n) = 4*c(n) + 5*r(n). Suppose h(a) = 0. What is a?
-1, 1
Let t(c) = -2*c**4 + 3*c**3 - 2*c**2 - 2*c + 1. Let d(k) = k**4 + k**2 - k + 1. Let f(g) = -d(g) - t(g). Solve f(h) = 0 for h.
-1, 1, 2
Let r(j) = 8*j**3 + j**2 - 2*j**3 + 2*j**3. Let c(a) = 7*a**3 + 2*a**2. Let f(t) = -5*c(t) + 4*r(t). Factor f(u).
-3*u**2*(u + 2)
Let o(w) be the second derivative of 2*w + 0*w**2 + 0*w**4 - 1/10*w**3 + 0 + 3/100*w**5. Factor o(f).
3*f*(f - 1)*(f + 1)/5
Let h(a) = 14*a**4 - 14*a**2 - 8*a. Let i(u) = -9*u**4 + 9*u**2 + 5*u. Suppose -3*l = -l - 10. Let g(n) = l*h(n) + 8*i(n). Factor g(w).
-2*w**2*(w - 1)*(w + 1)
Let u(j) be the first derivative of j**5/180 + j**4/72 + 7*j**2/2 - 2. Let s(t) be the second derivative of u(t). Factor s(x).
x*(x + 1)/3
Let o(f) be the third derivative of -f**8/112 - f**7/14 - f**6/5 - f**5/5 - 17*f**2. Factor o(k).
-3*k**2*(k + 1)*(k + 2)**2
Factor 0*w + 0*w**4 + 1/7*w**3 + 0 - 1/7*w**5 + 0*w**2.
-w**3*(w - 1)*(w + 1)/7
Let j(a) = -2*a**3 - 4*a - 3. Let t(m) = -m**2 + m + 1. Let s be (-48)/(-15) + 4/(-20). Let b(w) = s*t(w) + j(w). Factor b(y).
-y*(y + 1)*(2*y + 1)
Suppose 635*l - 646*l = 0. Solve l*k + 1/4*k**4 + 1/4 + 0*k**3 - 1/2*k**2 = 0.
-1, 1
Let q(j) be the first derivative of j**4/30 - j**3/15 + 3*j - 1. Let y(u) be the first derivative of q(u). Find v such that y(v) = 0.
0, 1
Let f(o) = -1 - 9 + 4 + 12*o**2 - 22*o. Let v(l) = 11*l**2 - 21*l - 5. Let b(h) = -h**2 - 3. Let r be b(0). Let s(m) = r*f(m) + 2*v(m). Factor s(n).
-2*(n - 2)*(7*n + 2)
Find w such that -2*w - 2*w + w**2 + 5*w**2 - 2*w**2 = 0.
0, 1
Let n(x) be the second derivative of 1/300*x**6 + 2*x**2 - x - 2/15*x**3 + 1/75*x**5 - 1/60*x**4 + 0. Let d(i) be the first derivative of n(i). Factor d(h).
2*(h - 1)*(h + 1)*(h + 2)/5
Factor 26*i**2 - 32*i**3 - 2*i**2 - 24*i**4 + 28*i**4 + 4*i**2.
4*i**2*(i - 7)*(i - 1)
Factor 0 + 0*s - 2/13*s**2.
-2*s**2/13
Let b(w) be the third derivative of -w**5/12 - 5*w**4/24 + 5*w**3/3 + 7*w**2. Factor b(p).
-5*(p - 1)*(p + 2)
Let p(i) be the third derivative of i**3/6 - 2*i**2. Let t(v) = -7*v**2 - 26*v + 19. Let j(h) = 22*p(h) - 2*t(h). Let j(c) = 0. What is c?
-4, 2/7
Suppose -2/5*o**4 + 4/5*o**2 - 2/5 - 1/5*o**5 + 2/5*o**3 - 1/5*o = 0. Calculate o.
-2, -1, 1
Let v(l) be the second derivative of 2/9*l**2 + 1/9*l**3 + 0 + l - 1/30*l**5 - 1/27*l**4. Let v(s) = 0. Calculate s.
-1, -2/3, 1
Let v = -82/5 - -84/5. Factor 2/5*b + 2/5*b**2 + 0 - v*b**3 - 2/5*b**4.
-2*b*(b - 1)*(b + 1)**2/5
Let l(f) be the second derivative of f**6/20 + 3*f**5/5 + 15*f**4/8 - 2*f**3 - 12*f**2 + 7*f. Factor l(x).
3*(x - 1)*(x + 1)*(x + 4)**2/2
Let f(g) be the first derivative of -g**6/42 + g**4/14 - g**2/14 + 1. Factor f(u).
-u*(u - 1)**2*(u + 1)**2/7
Let g(l) = -1 - 7*l**3 - 4*l - 3 + 0*l + 3*l**2. Let w(m) = -15*m**3 + 6*m**2 - 9*m - 9. Let o(h) = 9*g(h) - 4*w(h). Factor o(p).
-3*p**2*(p - 1)
Suppose v = 1 + 3. Let w(s) = 7*s**4 + 6*s**3 - 25*s**2 - 16*s. Let f(p) = -7*p**4 - 5*p**3 + 24*p**2 + 17*p + 1. Let b(c) = v*f(c) + 3*w(c). Factor b(r).
-(r - 2)*(r + 1)**2*(7*r + 2)
Suppose -6*x + 19 + 35 = 0. Let y(r) = -r**3 + r**2 - 1. Let k(f) = -1 - f**3 - 5*f**3 + 4. Let v(b) = x*y(b) - k(b). Let v(z) = 0. What is z?
-1, 2
Let t(p) be the third derivative of -p**7/210 - 4*p**6/15 - 32*p**5/5 - 256*p**4/3 - 2048*p**3/3 + 4*p**2 - 5*p. Let t(c) = 0. What is c?
-8
Let s(j) be the first derivative of -2*j**6 - 11*j**5/5 + 5*j**4/2 + 11*j**3/3 + j**2 - 2. Suppose s(c) = 0. Calculate c.
-1, -2/3, -1/4, 0, 1
Suppose -4*d - a + 105 = 0, a = 2*d - 3*a - 30. Suppose -5*c - 7*l - d = -2*l, -3*c - 5*l - 25 = 0. Factor 1/2*t**5 + t**4 + 1/2*t**3 + 0*t + 0 + c*t**2.
t**3*(t + 1)**2/2
Let k(x) be the second derivative of -x**5/10 - 5*x**4/6 - 7*x**3/3 - 3*x**2 + 3*x. Find b, given that k(b) = 0.
-3, -1
Suppose 5*m = 3*h + 22, 2*m + 3*m + 2 = -3*h. Suppose m*q - 10 = -3*q. What is d in -1 - d**3 - 18*d + 13*d - 4*d**q - 1 = 0?
-2, -1
Let n = -12 + 12. Let l(g) be the third derivative of n*g**3 - 1/90*g**7 + 0*g**4 + 1/45*g**5 + 0*g**6 + 0*g - 2*g**2 + 0 + 1/336*g**8. What is p in l(p) = 0?
-2/3, 0, 1, 2
Let c = 0 - 5. Let w(f) = f + 7. Let b be w(c). Solve 2*r**4 + 0*r**3 - 3*r + b*r**3 + 6*r**3 + 2 + 12*r**2 + 11*r = 0 for r.
-1
Factor 0 + 4/7*y**3 - 24/7*y + 4/7*y**2.
4*y*(y - 2)*(y + 3)/7
Determine r so that 45 - 15*r + 5/4*r**2 = 0.
6
Suppose 5*t + 3*d + 1 = 33, 4*t - 12 = d. Let o be (-6 - -2) + (8 - -1). Suppose -t*h**2 + 4*h**4 - 2*h**o + 6*h - h - 3*h + 0*h**4 = 0. Calculate h.
-1, 0, 1
Let m(t) = 19*t - 129. Let l be m(7). Determine n, given that 16/3*n**l - 2/3*n + 0 + 4*n**3 + 0*n**2 + 2*n**5 = 0.
-1, 0, 1/3
Factor 2/3 + 1/3*k**3 - 1/3*k - 2/3*k**2.
(k - 2)*(k - 1)*(k + 1)/3
Suppose 6/11*s - 2/11*s**3 - 4/11 + 0*s**2 = 0. Calculate s.
-2, 1
Let p be (-8)/36 - (-80)/252. Let d(k) be the second derivative of 0*k**2 + 0 - p*k**3 + 1/6*k**4 + k. Factor d(w).
2*w*(7*w - 2)/7
Let f(z) be the third derivative of z**8/504 + 4*z**7/315 + z**6/60 - 2*z**5/45 - z**4/9 - 21*z**2 - 3*z. Find b, given that f(b) = 0.
-2, -1, 0, 1
Let s(r) be the third derivative of r**5/480 - r**4/96 - r**3/16 - 12*r**2. Factor s(m).
(m - 3)*(m + 1)/8
Let c(f) be the second derivative of -f**7/1155 - f**6/660 + f**2 + 2*f. Let y(l) be the first derivative of c(l). Factor y(w).
-2*w**3*(w + 1)/11
Let m be (0 - 0) + 0 - -5. Suppose m = 4*c + c. Suppose -c + 1 + 3*v**3 - 4*v**2 - v + 2 = 0. Calculate v.
-2/3, 1
Let z(i) be the second derivative of i**7/98 - i**6/35 - 3*i**5/140 + i**4/14 + i. Find t such that z(t) = 0.
-1, 0, 1, 2
Let x be (-2 + 6)*((-54)/60)/(-9). Solve -2/5 - x*c + 2/5*c**2 + 2/5*c**3 = 0 for c.
-1, 1
Let s(p) be the first derivative of -2*p**5/5 - p**4 + 2*p**2 + 2*p - 14. Let s(j) = 0. What is j?
-1, 1
Let i = -5/21 - -233/273. Factor 0*g + 2/13*g**3 + 0 + i*g**4 + 0*g**2.
2*g**3*(4*g + 1)/13
Factor -1/6 + 2/3*t**5 + 4/3*t**2 - 1/3*t**3 - 7/6*t**4 - 1/3*t.
(t - 1)**3*(t + 1)*(4*t + 1)/6
Let c(a) be the third derivative of 0*a**3 + 0 - 5*a**2 + 0*a**4 - 1/112*a**8 + 0*a + 0*a**5 - 3/70*a**7 - 1/20*a**6. Factor c(n).
-3*n**3*(n + 1)*(n + 2)
Let a(o) be the first derivative of 2*o**5/25 - 3*o**4/10 - 2*o**3/15 