0 - 8/3*t**2.
-2*t*(t + 1)**4/3
Let b(r) be the third derivative of -r**5/30 + r**4/3 - r**3 - 4*r**2. What is i in b(i) = 0?
1, 3
Let c(g) be the first derivative of -7*g**3/12 + 23*g**2/8 - 3*g/2 - 4. Factor c(i).
-(i - 3)*(7*i - 2)/4
Let g(l) = -l**2 - l + 1. Let n(x) = -5*x**2 + x - 2. Let t(a) = 4*g(a) - n(a). Factor t(h).
(h - 3)*(h - 2)
Determine z so that -1/8*z**2 - 1/2*z + 1/8*z**3 + 1/2 = 0.
-2, 1, 2
Let c be (-3 + 3)/(-2) - -1. Let d(a) = a**2 + 2*a - 3. Let r(p) = p**2 - 1. Suppose 0 = 2*i + 1 + 5. Let m(j) = c*d(j) + i*r(j). Factor m(u).
-2*u*(u - 1)
Let i(f) be the first derivative of f**6/9 - 4*f**5/15 + f**4/6 + 9. Factor i(g).
2*g**3*(g - 1)**2/3
Determine u so that -5*u**2 + 4*u - 5 + 12*u - 2*u - 4*u = 0.
1
Let n = -418 + 421. Suppose -l**4 - 8/5*l**n + 2/5*l + 0 - 1/5*l**2 = 0. Calculate l.
-1, 0, 2/5
Let z(p) be the first derivative of -9*p**3/4 - 9*p**2 - 12*p - 17. Determine i so that z(i) = 0.
-4/3
Let g(x) = 5*x**5 - 12*x**4 - 7*x**3 - 14*x**2 - 8. Let y(p) = -3*p**5 + 8*p**4 + 5*p**3 + 9*p**2 + 5. Let h(c) = 5*g(c) + 8*y(c). Solve h(j) = 0.
-2, -1, 0
Let c(l) be the third derivative of 1/66*l**4 - 2*l**2 + 0*l - 1/33*l**3 - 1/330*l**5 + 0. Factor c(t).
-2*(t - 1)**2/11
Let v be (-13)/((-78)/28) + -4. Solve -4/3*r**3 - 2*r**4 - 2/3*r**5 + 4/3*r**2 + v + 2*r = 0.
-1, 1
Let h be -1*1*(-2 + -1). Factor o**4 + 2*o**3 - o**2 + o**4 - h*o**4.
-o**2*(o - 1)**2
Suppose -14*u = -17*u + 3. Factor -1/3*n**2 + u + 2/3*n.
-(n - 3)*(n + 1)/3
Let u(k) be the third derivative of k**7/5040 - k**6/2160 - k**5/360 + k**3/6 + 3*k**2. Let b(r) be the first derivative of u(r). Factor b(t).
t*(t - 2)*(t + 1)/6
Let u(o) be the first derivative of o**6/360 - o**5/120 - 4*o**3/3 + 3. Let m(f) be the third derivative of u(f). Determine y so that m(y) = 0.
0, 1
Let c(x) be the third derivative of 0 + 17/210*x**5 + 4/21*x**3 - 2*x**2 + 0*x - 4/21*x**4 - 1/84*x**6. Find f such that c(f) = 0.
2/5, 1, 2
Let p = -33665 - -6362707/189. Let g = p + 20/27. What is h in -2/7*h**5 - g*h**3 - 2/7*h**2 + 0 + 0*h - 6/7*h**4 = 0?
-1, 0
Suppose 0 = -4*d - 2 + 6. Let k be (2*d)/(20/30). Factor -3/5*g**2 + 0 - 6/5*g**k + 0*g - 3/5*g**4.
-3*g**2*(g + 1)**2/5
Suppose 0 = 5*m - 1 - 4. Suppose -3*t - 3*t - 3*t**2 - 4 + m = 0. What is t?
-1
Let z(t) = -t**5 + t**3 + t + 1. Let j(o) = 7*o**5 - 4*o**3 - 2*o**2 - 11*o - 6. Let b(r) = 3*j(r) + 24*z(r). Factor b(q).
-3*(q - 1)**3*(q + 1)*(q + 2)
Let z(m) = m**2 - 19*m + 2. Let v be z(19). Let -2/3*t**v - 2 + 8/3*t = 0. Calculate t.
1, 3
Factor -12*k - 8*k**2 - 1 - 19*k**2 - 9*k**2.
-(6*k + 1)**2
Let n(g) = -55*g**2 + 165*g - 65. Let w(m) = -5*m**2 + 15*m - 6. Let y(s) = -4*n(s) + 45*w(s). Find t, given that y(t) = 0.
1, 2
Let o(d) be the second derivative of d**7/21 - 2*d**6/15 - d**5/10 + d**4/3 + 7*d. What is v in o(v) = 0?
-1, 0, 1, 2
Let s(x) be the third derivative of x**10/60480 + x**9/15120 + x**4/24 - x**2. Let m(i) be the second derivative of s(i). What is g in m(g) = 0?
-2, 0
Let i(g) be the first derivative of g**6/8 - 7*g**5/20 + g**4/4 + g**2/2 - 4. Let a(b) be the second derivative of i(b). Let a(v) = 0. Calculate v.
0, 2/5, 1
Solve -5*q**3 + 3*q**4 - q**5 - q**3 + q**2 + 3*q**3 = 0 for q.
0, 1
Let v(k) be the first derivative of -2*k**5/25 + k**4/5 - 2*k**2/5 + 2*k/5 + 2. Factor v(p).
-2*(p - 1)**3*(p + 1)/5
Let l = -5 + 10. Let f be 1/l - (-18)/60. Find g such that 1/2*g + 0 - f*g**2 = 0.
0, 1
Let n be (-1)/1 + 6 + -3. Let k = n + 0. Factor -2*a + 0*a - a**k + 3*a - 2*a.
-a*(a + 1)
Let s be -4 + 1 + (-3)/(-1). Let o(p) be the first derivative of -3/2*p**4 - 2*p**3 + 2 + s*p - p**2 - 2/5*p**5. Suppose o(q) = 0. What is q?
-1, 0
Let b(t) be the third derivative of t**5/240 - t**4/48 + t**3/24 + 11*t**2. Factor b(x).
(x - 1)**2/4
Let o = 5197/5 - 60261/58. Let p = o - 1/58. Factor p*t**5 - 2/5*t**4 - 2/5*t**3 + 2/5*t**2 + 0*t + 0.
2*t**2*(t - 1)**2*(t + 1)/5
Factor -x + 16/9*x**2 - 1/9*x**5 + 2/9 + 2/3*x**4 - 14/9*x**3.
-(x - 2)*(x - 1)**4/9
Let k(a) be the second derivative of -a**6/90 - a**5/60 + 12*a. Factor k(u).
-u**3*(u + 1)/3
Suppose 8*r - 65 = -5*q + 3*r, -3*r + 15 = 0. Find x, given that -q*x**2 + 6*x**2 + 0*x**3 - 2*x**3 = 0.
-1, 0
Let i(y) be the second derivative of -y**7/42 + y**6/30 + y**5/4 - y**4/12 - 4*y**3/3 - 2*y**2 - 6*y. Factor i(j).
-(j - 2)**2*(j + 1)**3
Let w be (-6)/4 + (-380)/(-252). Let l = w - -3/14. Factor l*d + 0 - 2/9*d**3 + 0*d**2.
-2*d*(d - 1)*(d + 1)/9
Let z(r) be the third derivative of -r**6/90 - 2*r**5/45 - r**4/18 + 14*r**2. Factor z(a).
-4*a*(a + 1)**2/3
Let r(s) be the first derivative of 0*s - 2 - 1/10*s**2 + 1/15*s**3. Factor r(d).
d*(d - 1)/5
Let o(b) be the first derivative of 25/2*b**4 + 15/2*b**2 + 6*b**5 + 40/3*b**3 + 7/6*b**6 + 3 + 2*b. Determine h, given that o(h) = 0.
-1, -2/7
Let h(w) be the first derivative of 0*w + 0*w**2 - 4 - 9/5*w**5 - 9/4*w**4 - w**3 - 1/2*w**6. Factor h(j).
-3*j**2*(j + 1)**3
Let y(f) be the second derivative of f**5/30 + f**4/18 - 2*f**3/9 - f. Solve y(s) = 0.
-2, 0, 1
Let y(r) be the third derivative of -5*r**8/336 + r**7/21 - r**5/6 + 5*r**4/24 - 13*r**2. Let y(s) = 0. Calculate s.
-1, 0, 1
Let m = 23 - 19. Factor 2/9*s**m + 2*s**2 - 10/9*s**3 + 4/9 - 14/9*s.
2*(s - 2)*(s - 1)**3/9
Suppose 3*p - 6*s - 6 = -3*s, s = 3. Solve -w**3 - 1/3*w**2 - 1/3*w**p - w**4 + 0 + 0*w = 0 for w.
-1, 0
Let x(m) = -85*m**3 + 120*m**2 + 85*m - 50. Let s(y) = 5*y**3 - 7*y**2 - 5*y + 3. Let u(h) = -35*s(h) - 2*x(h). Factor u(w).
-5*(w - 1)**2*(w + 1)
Suppose -15*l = -12*l. Find h, given that -1/4*h**4 + 0 + 1/4*h**2 + 0*h**3 + l*h = 0.
-1, 0, 1
Let y(r) be the second derivative of r**7/336 - r**6/240 - 3*r**5/160 + r**4/96 + r**3/24 + 6*r. Factor y(k).
k*(k - 2)*(k - 1)*(k + 1)**2/8
Factor -15/4 + 5/4*w**2 + 5/2*w.
5*(w - 1)*(w + 3)/4
Let h = -18/7 - -20/7. Solve -h*f**2 + 0*f + 2/7 = 0.
-1, 1
Suppose 4 = -a - 3*x, -6*a + 14 = -2*a - 3*x. Let s be 1/(-18)*-3*a. Factor 2/3*g - s*g**4 - 2/3*g**3 + 1/3 + 0*g**2.
-(g - 1)*(g + 1)**3/3
Find v, given that -2*v**2 - 2/3 + 2*v + 2/3*v**3 = 0.
1
Let y(b) be the third derivative of -b**5/180 - b**4/36 - b**3/18 + 16*b**2. Factor y(d).
-(d + 1)**2/3
Let y(q) be the second derivative of q**6/3 - 7*q**5/4 + 5*q**4/4 + 20*q**3/3 - 10*q**2 - 26*q. Factor y(r).
5*(r - 2)**2*(r + 1)*(2*r - 1)
Let a = 8 + -6. Factor 13 - 13 - a*c**3 - c**3.
-3*c**3
Let g(t) be the third derivative of t**8/112 - t**7/70 - 7*t**6/40 + 13*t**5/20 - 3*t**4/4 - 35*t**2. Find d such that g(d) = 0.
-3, 0, 1, 2
Let h(m) be the third derivative of 0*m**5 - 1/784*m**8 + 0*m**4 + 0*m - 1/245*m**7 - 1/280*m**6 + 0 + 0*m**3 + m**2. Find x, given that h(x) = 0.
-1, 0
Suppose -5*b = -6*f + 2*f - 14, 5*b + 5*f = 5. Let m be 21/15*4/14. Factor 6/5*c + 4/5 + m*c**b.
2*(c + 1)*(c + 2)/5
Let g(x) = x**4 + x**3 + x. Let c(d) = -4*d**5 - 44*d**4 - 92*d**3 + 128*d**2 + 376*d + 200. Let t(l) = c(l) + 4*g(l). Determine j, given that t(j) = 0.
-5, -1, 2
Let k(l) be the third derivative of l**6/120 - l**5/12 + 2*l**3/3 - 2*l**2. Let x be k(5). Let 2*o**3 - 4*o**2 + 2*o**2 - o**x + 3*o**4 - 2*o = 0. What is o?
-1, 0, 1
Suppose 22*v - 13*v - 18 = 0. Factor -80/3*a**v + 32/3*a**3 - 46/3*a - 2.
2*(a - 3)*(4*a + 1)**2/3
Factor 2/7*t**2 - 16/7*t + 2.
2*(t - 7)*(t - 1)/7
Let k(u) be the second derivative of -u**4/15 - 8*u**3/15 - 8*u**2/5 - 4*u + 5. What is s in k(s) = 0?
-2
Find w such that -16/11 + 2/11*w**4 + 10/11*w**3 - 8/11*w + 12/11*w**2 = 0.
-2, 1
Let v = -16 - -18. Let m(y) be the third derivative of 1/105*y**7 + 0*y**3 + 0*y**6 - y**v - 1/30*y**5 + 0 + 0*y + 1/336*y**8 - 1/24*y**4. Factor m(o).
o*(o - 1)*(o + 1)**3
Let k(p) = p**2 + 3*p - 28. Let u be k(4). What is d in 0 + 0*d**4 + 1/2*d**5 - 1/2*d**3 + u*d**2 + 0*d = 0?
-1, 0, 1
Let y(w) = -w**3 - 6*w**2 + 7*w + 3. Let j be y(-7). Suppose -j*m**3 + 5*m**3 - 8*m**2 - 4*m + 2*m**2 + 8*m = 0. What is m?
0, 1, 2
Let z(u) = u**3 + 6*u**2 + 8*u + 2. Let d be z(-3). Suppose -1 + d = -l + 4*n, -l + 3*n - 3 = 0. Let -1/3*q**2 + 0*q + l - 1/3*q**3 = 0. Calculate q.
-1, 0
Factor 653 - g**3 - 653 - 2*g**2.
-g**2*(g + 2)
Let g(f) be the third derivative of f**8/6720 - f**7/2520 + f**5/30 - 3*f**2. Let c(l) be the third derivative of g(l). Factor c(p).
p*(3*p - 2)
Let l(c) be the second derivative of c**5/90 + c**4/18 