Let x(b) = 8*b**4 - 19*b**3 - 13*b**2 + 24*b. Let f(z) = 5*h(z) - 8*x(z). Solve f(q) = 0 for q.
-1, 0, 1, 3
Let y(j) be the first derivative of j**9/9072 + j**8/1008 + j**7/315 + j**6/270 - j**3/3 - 3. Let l(x) be the third derivative of y(x). Factor l(t).
t**2*(t + 1)*(t + 2)**2/3
Factor -4*j**4 + 19*j**3 - 10*j**3 + 24*j**2 + 9*j**3 + 2*j**3.
-4*j**2*(j - 6)*(j + 1)
Let c(w) = w + 10. Let o be c(-7). Let j = 86 - 84. Solve 10/3*g**2 - 10/3*g**4 - j*g**o + 8/3*g**5 - 2/3*g + 0 = 0 for g.
-1, 0, 1/4, 1
Let p be 2/(-4)*(-20)/6. Let q = -43 - -43. Suppose -2/3*s + q + p*s**3 - s**2 = 0. Calculate s.
-2/5, 0, 1
Let v(z) = z**2. Let i(f) be the first derivative of 7*f**3/3 - 3*f**2 + 2. Let l = -24 - -23. Let g(c) = l*i(c) + 4*v(c). Factor g(a).
-3*a*(a - 2)
Let q be 148/(-90) + 1/5. Let o = q - -16/9. What is g in 0*g**2 - 2/3*g**3 + 0 + 0*g**4 + 1/3*g**5 + o*g = 0?
-1, 0, 1
Let z(i) be the third derivative of 0*i**4 + 0 + 0*i + 1/150*i**6 + 1/150*i**5 + i**2 + 1/525*i**7 + 0*i**3. Factor z(y).
2*y**2*(y + 1)**2/5
Suppose -s + 3*s = -8. Let g be (-2)/(-6)*s - -2. Factor 2/3*w**2 - g*w + 2/3*w**3 - 2/3.
2*(w - 1)*(w + 1)**2/3
Let h(y) = 13*y + 9. Let b(r) = 6*r + 5. Let l(w) = -9*b(w) + 4*h(w). Let d be l(-6). Factor 1/4*n + 0*n**2 + 1/4*n**5 - 1/2*n**d + 0 + 0*n**4.
n*(n - 1)**2*(n + 1)**2/4
Let x be 1/(4 + (-33)/9). Let a(w) be the third derivative of 0*w**x + 0*w + w**2 + 1/60*w**6 + 0 + 1/15*w**5 + 1/12*w**4. Suppose a(j) = 0. Calculate j.
-1, 0
Let d(k) be the second derivative of k**4/84 - 8*k**3/21 + 32*k**2/7 + 17*k. Find z such that d(z) = 0.
8
Let u(z) = -4*z**2 + 5*z. Let v(s) = -s. Let n(r) = u(r) + v(r). Let l(a) = a**2 - 1. Let k(w) = 2*l(w) + n(w). Factor k(p).
-2*(p - 1)**2
Let l be -2*(-2 - (-1)/2). Solve -s**5 + 0*s**l - 3*s**3 - s**2 - 3*s**4 + 0*s**3 = 0 for s.
-1, 0
Suppose -7*c + 3 = -6*c. Let o(x) be the second derivative of -3/40*x**5 - 1/12*x**c - x + 0 + 1/60*x**6 + 1/8*x**4 + 0*x**2. Factor o(n).
n*(n - 1)**3/2
Suppose 5*y = 15, -t + 0 - 18 = -4*y. Let o(d) = -14*d**2 - 17*d + 17. Let f(a) = -5*a**2 - 6*a + 6. Let p(r) = t*o(r) + 17*f(r). Factor p(u).
-u**2
Let y(u) be the second derivative of 3*u**6/10 + 3*u**5/2 + 7*u**4/4 - 2*u**3 - 6*u**2 + 20*u. Let y(f) = 0. Calculate f.
-2, -1, 2/3
Let x(h) = h**3 - 10*h**2 - 9*h - 18. Let z be x(11). Determine o so that 0 + 0*o - 6/5*o**3 - 8/5*o**z + 2/5*o**2 = 0.
-1, 0, 1/4
Solve 4/7*h**4 - 4/7*h**2 - 2/7*h + 2/7*h**5 + 0 + 0*h**3 = 0.
-1, 0, 1
Let x(w) be the second derivative of 7*w**5/30 - w**4/9 - 7*w**3/9 + 2*w**2/3 - 50*w. Factor x(k).
2*(k - 1)*(k + 1)*(7*k - 2)/3
Suppose 5*d - 9 = -4. Let s be -1 + 4/(d + 0). Factor -2*m**4 + 4 + 18*m**2 + 8*m**3 - 18*m**s + 4*m**4 - 14*m.
2*(m - 2)*(m - 1)**3
Let b(p) = -2*p - 18. Let n be b(-11). Factor 0*l + 0 + 4/13*l**3 + 2/13*l**2 + 2/13*l**n.
2*l**2*(l + 1)**2/13
Let d = 55 + -163/3. Let d*x**5 - 8/3*x**2 + 4*x**3 + 0 + 2/3*x - 8/3*x**4 = 0. Calculate x.
0, 1
Let r be (-2)/(-6) - 92/6. Let o be r/(-9)*4/10. Determine d, given that -2/3*d + 0 - 2/3*d**4 + o*d**3 + 2/3*d**2 = 0.
-1, 0, 1
Let z(k) be the first derivative of -k**6/480 - k**5/96 - k**4/48 - 7*k**3/3 - 3. Let h(m) be the third derivative of z(m). Let h(b) = 0. What is b?
-1, -2/3
Let a(q) be the second derivative of q**4/3 - 2*q**3 - 7*q. Factor a(y).
4*y*(y - 3)
Factor 3*t - 3*t**3 - 6963 + 6963.
-3*t*(t - 1)*(t + 1)
Let n(d) be the third derivative of 1/90*d**6 + 1/180*d**5 + 0 + 0*d - 1/18*d**3 - 1/18*d**4 + 3*d**2. Factor n(i).
(i - 1)*(i + 1)*(4*i + 1)/3
Let x(u) be the first derivative of u**9/9072 + u**8/5040 - u**7/840 - u**6/216 - u**5/180 + u**3 + 2. Let l(s) be the third derivative of x(s). Factor l(q).
q*(q - 2)*(q + 1)**3/3
Let c be (-1)/(-4 - (-22)/6). Suppose 1/2*g**4 + 0*g - 1/2*g**2 + 0 + 1/2*g**5 - 1/2*g**c = 0. What is g?
-1, 0, 1
Let d(j) be the first derivative of -5*j**3/18 + 5*j**2/4 - 5*j/3 + 33. Let d(c) = 0. Calculate c.
1, 2
Let x(i) be the first derivative of 21*i**4/8 + 9*i**3/2 + 3*i**2/2 - 14. Solve x(b) = 0.
-1, -2/7, 0
Let d(i) be the second derivative of -i**5/4 - 5*i**4/3 + 37*i. Solve d(z) = 0.
-4, 0
Let v(m) be the second derivative of -m**6/150 - m**5/25 + m**4/30 + 2*m**3/5 - 9*m**2/10 - 18*m. Factor v(h).
-(h - 1)**2*(h + 3)**2/5
Determine n, given that -2/3*n**2 - 1/3*n + 1/3*n**3 + 2/3 = 0.
-1, 1, 2
Let j(g) = -21*g**4 + 36*g**3 - 9*g**2 - 14*g + 8. Let t(s) = s - 3*s**2 - 7*s**4 + 0*s**2 + 3 - 6*s + 12*s**3. Let c(a) = 3*j(a) - 8*t(a). Factor c(f).
-f*(f - 1)**2*(7*f + 2)
Let q(j) be the third derivative of 0*j**3 + 0*j - 1/8*j**4 - 1/40*j**6 + j**2 - 1/10*j**5 + 0. Factor q(b).
-3*b*(b + 1)**2
Let k(j) = 2*j**3 - 4*j**2 + 4*j - 2. Let h be 2/1 + 0/3. Let u be k(h). Determine t, given that 0*t + u*t**2 + 3 - 11 + 8*t = 0.
-2, 2/3
Find j, given that 15*j - 5 + 11*j**3 - 5 - 16*j**3 = 0.
-2, 1
Let l = -85 + 145. Let k be -2 + 0 + l/18. What is n in -2/3*n**3 - k + 2/3*n + 2*n**2 - 2/3*n**4 = 0?
-2, -1, 1
Let -76/13*k + 18/13*k**2 + 16/13 = 0. Calculate k.
2/9, 4
Let u(p) be the second derivative of 1/54*p**4 + 4/27*p**3 + 0 + 4/9*p**2 + p. Factor u(h).
2*(h + 2)**2/9
Factor 0*f + 1/3*f**2 - 1/3.
(f - 1)*(f + 1)/3
Let y = 10/9 - 4/9. Let n be 4/(-12)*(1 - 2). Solve -y*g + 1/3*g**4 - n + 0*g**2 + 2/3*g**3 = 0 for g.
-1, 1
Let j(i) be the third derivative of 3*i**2 - 7/90*i**5 + 1/630*i**7 - 1/6*i**3 + 11/72*i**4 + 0*i + 0 - 1/1008*i**8 + 1/60*i**6. Factor j(m).
-(m - 1)**4*(m + 3)/3
Factor 3/4*f - 1/2 - 1/4*f**2.
-(f - 2)*(f - 1)/4
Let o(u) be the first derivative of 256/45*u**6 + 512/75*u**5 - 5 + 32/45*u**3 + 1/15*u**2 + 16/5*u**4 + 0*u. Factor o(z).
2*z*(4*z + 1)**4/15
Let w(d) be the second derivative of -d**6/180 - d**5/120 + d**4/18 + d**3/9 - 10*d. Factor w(i).
-i*(i - 2)*(i + 1)*(i + 2)/6
Find b, given that 0 - 5/2*b - 17/4*b**2 + 11/2*b**3 + 5/4*b**4 = 0.
-5, -2/5, 0, 1
Factor -2/3*y + 2/3*y**3 - 1/3 + 1/3*y**4 + 0*y**2.
(y - 1)*(y + 1)**3/3
Let b(d) = -3*d**5 - 7*d**4 - 8*d**3 - 2*d**2 + 2. Let h(a) = 7 - 6*a**3 - 3*a**2 - 10*a**3 - 2 - 7*a**5 - 15*a**4. Let v(k) = 5*b(k) - 2*h(k). Solve v(g) = 0.
-2, -1, 0
Factor 26/5*o + 8/5 + 18/5*o**2.
2*(o + 1)*(9*o + 4)/5
Suppose 10 + 2*r**2 + 14*r + r + 2*r**2 + r**2 = 0. What is r?
-2, -1
Let s(y) = y**2 - 154 + 152 - y**3 + 4*y - 6*y**2. Let h(o) = -4*o**3 - 16*o**2 + 13*o - 7. Let f be (2/(-3))/(1/3). Let r(j) = f*h(j) + 7*s(j). Factor r(k).
k*(k - 2)*(k - 1)
Let q(w) be the third derivative of w**7/3780 + w**4/8 + 2*w**2. Let x(r) be the second derivative of q(r). What is l in x(l) = 0?
0
Let t(x) be the first derivative of x**6/42 - 2*x**5/35 + x**4/28 - 19. Factor t(b).
b**3*(b - 1)**2/7
Factor -50/3 - 10/3*j - 1/6*j**2.
-(j + 10)**2/6
Let b(a) = 8*a**4 + 9*a**3 + 11*a**2. Let t(r) = -33*r**4 - 36*r**3 - 45*r**2. Let f(v) = -21*b(v) - 5*t(v). Let f(l) = 0. Calculate l.
-2, -1, 0
Factor -2/7*r - 2/7*r**2 + 0.
-2*r*(r + 1)/7
Let t be (-182)/(-210) + (-2)/(-15). Let j(m) be the first derivative of t - 1/3*m + 1/6*m**4 + 1/3*m**3 + 0*m**2. Find o such that j(o) = 0.
-1, 1/2
Suppose -5*d = -3*x + 15, 5*x + 15 = 3*x - 5*d. Let w(o) be the second derivative of 0*o**3 - 2*o + x*o**2 - 1/18*o**4 + 0. Factor w(u).
-2*u**2/3
Solve -9*d**5 - 9*d**3 + 3*d**3 - 9*d**4 - 12*d**4 = 0.
-2, -1/3, 0
Let r(x) be the second derivative of 0*x**4 + 0*x**2 - 2/3*x**3 + 0 + 1/21*x**7 - 3*x + 11/20*x**5 + 3/10*x**6. Suppose r(s) = 0. Calculate s.
-2, -1, 0, 1/2
Let t(v) be the third derivative of v**7/735 + v**6/70 + 13*v**5/210 + v**4/7 + 4*v**3/21 - v**2. Find f, given that t(f) = 0.
-2, -1
Let b(u) be the second derivative of u**4/30 - u**3/15 - 2*u**2/5 - u. Suppose b(c) = 0. What is c?
-1, 2
Determine c, given that 0 - 1/3*c**2 + 0*c - 1/3*c**3 = 0.
-1, 0
Let r be (3/(-9) - -1)*1. Find y, given that 0 + 2/3*y - r*y**2 = 0.
0, 1
Let m be (-3)/3 + ((-7)/(-3) - 1). Let g(s) be the second derivative of -1/12*s**4 + 0 + m*s**3 + 0*s**2 - 2*s. Factor g(l).
-l*(l - 2)
Let i(o) be the first derivative of 3*o**4/4 - 6*o**3 + 15*o**2/2 + 31. Find q, given that i(q) = 0.
0, 1, 5
Factor -7/4*v + 1/2*v**2 + 3/4*v**3 + 1/2.
(v - 1)*(v + 2)*(3*v - 1)/4
Let u(t) be the first derivative of 2/7*t**2 + 0*t - 2/21*t**3 - 1/14*t**4 - 2. Solve u(h) = 0 for h.
-2, 0, 1
Let s = -59/64 + -4057/320. Let k = -194/15 