2)/(-42). Suppose 3*r - 4*r = 0. Let 1/3*d**3 + v*d**5 - 2/3*d**4 + 0*d + r*d**2 + 0 = 0. What is d?
0, 1
Let x(m) be the third derivative of -m**6/24 + m**5/4 + 5*m**4/24 - 5*m**3/2 - 163*m**2. Factor x(i).
-5*(i - 3)*(i - 1)*(i + 1)
Let t(l) be the third derivative of l**6/60 + l**5/20 + l**4/24 + 179*l**2 - 2. Let t(x) = 0. What is x?
-1, -1/2, 0
Let l(o) be the first derivative of -2*o**3/9 + 17*o**2/3 - 32*o/3 + 35. Factor l(i).
-2*(i - 16)*(i - 1)/3
Suppose -7/9*p - 4/9*p**2 + 2/9 = 0. Calculate p.
-2, 1/4
Let g(s) be the second derivative of 0*s**3 + 1/6*s**4 + 1/40*s**5 + 0 + 0*s**2 + 7*s. What is n in g(n) = 0?
-4, 0
Suppose -5*s + k + 142 = 0, 0 = -2*s - 4*k + 5*k + 58. Suppose s - 118 = -5*l. Find i such that 4*i**2 + i**2 - 28 + l*i + 1 - 8*i**2 = 0.
3
Suppose 0*r + 0 - 4/7*r**3 + 60/7*r**2 + 4/7*r**5 - 60/7*r**4 = 0. Calculate r.
-1, 0, 1, 15
Let k be (-8 - -2)*41/(-2). Factor w**3 - 10*w**2 + 123 - 266 + k + 35*w - 6*w**3.
-5*(w - 1)**2*(w + 4)
Let i(f) be the third derivative of f**7/168 + 5*f**6/48 + 23*f**5/48 + 35*f**4/48 + 8*f**2. Factor i(b).
5*b*(b + 1)*(b + 2)*(b + 7)/4
Let z be 10/3*117/65. Let i(y) be the second derivative of 3/4*y**4 - 6*y**3 + 6/5*y**5 + 0 - 6*y**2 - 3/10*y**z + 6*y. Suppose i(x) = 0. What is x?
-1, -1/3, 2
Suppose 65*j = 4*a + 66*j - 10, 1 = -3*a - 5*j. Factor 2/11 + 6/11*s**2 - 2/11*s**a - 6/11*s.
-2*(s - 1)**3/11
Let x(d) be the second derivative of 7*d**5/4 - 230*d**4/3 + 1135*d**3/6 - 125*d**2 + d - 261. Factor x(s).
5*(s - 25)*(s - 1)*(7*s - 2)
Let d(o) be the third derivative of -o**8/75600 + o**7/4200 - o**6/1350 + o**5/60 - 19*o**3/6 + 22*o**2. Let t(v) be the third derivative of d(v). Factor t(s).
-2*(s - 4)*(2*s - 1)/15
Let r(m) = m**2 + m + 1. Let g(q) = 3*q**3 + 2*q**2 - 13*q - 4. Let h(j) = 3*j - 2. Let c be h(2). Let o(b) = c*r(b) + g(b). Suppose o(z) = 0. Calculate z.
-3, 0, 1
Let s be (-714)/(-441) + 16/(-12). Factor -s*n**3 - 4/7 - 6/7*n**2 + 10/7*n + 2/7*n**4.
2*(n - 1)**3*(n + 2)/7
Let k(m) be the third derivative of m**5/180 + 7*m**4/24 + 10*m**3/9 - 5*m**2 - 3. Solve k(n) = 0.
-20, -1
Let j(q) be the third derivative of q**8/224 + 13*q**7/840 + q**6/160 - 11*q**5/240 - 3*q**4/32 - q**3/12 - 3*q**2 - 2*q. Suppose j(v) = 0. Calculate v.
-1, -2/3, -1/2, 1
Factor -39/4*s - 1/8*s**2 - 1521/8.
-(s + 39)**2/8
Find j, given that -1/4*j**2 - 7/4*j - 3/2 = 0.
-6, -1
Suppose -u + 3*g = -1 - 1, g = -3*u + 16. Solve -8*c**3 - u*c - 10*c**2 - 2*c**3 + 3*c**3 + 2*c**3 = 0.
-1, 0
Let x(h) be the second derivative of -9*h**5/80 + 119*h**4/8 - 235*h**3/6 + 39*h**2 - 9*h - 6. Factor x(s).
-(s - 78)*(3*s - 2)**2/4
Let i = -74 - -68. Let b(o) = -7*o - 39. Let v be b(i). Let -2*g - 2*g**v + 1/2*g**4 + 3*g**2 + 1/2 = 0. What is g?
1
Factor 0 + 1/6*x**3 + 0*x + 1/6*x**4 - 1/3*x**2.
x**2*(x - 1)*(x + 2)/6
Let h(v) be the first derivative of -5*v**3 + 3/2*v**2 + 12 + 9/4*v**4 + 3*v. Solve h(l) = 0.
-1/3, 1
Let g(i) be the second derivative of -i**5/15 + 20*i**4/9 - 206*i**3/9 + 56*i**2 + 22*i + 5. Factor g(y).
-4*(y - 12)*(y - 7)*(y - 1)/3
Let f = -2/9041 - -144698/189861. Suppose 8/21*z + 2/7*z**3 + 4/21*z**4 - 2/21*z**5 - f*z**2 + 0 = 0. Calculate z.
-2, 0, 1, 2
Solve 4*z**2 - 4*z**2 + 347*z + 123*z + 5*z**2 + 3268 + 7777 = 0 for z.
-47
Let l be ((-4)/(-2))/(-1 - -2). Factor g + 2*g - 2*g**l - 4*g - g.
-2*g*(g + 1)
Suppose 6*v + 2*v + 56 = 0. Let p be (9/v - -1)*-7. Factor 0 - 2/7*q**p - 4/7*q.
-2*q*(q + 2)/7
Let s(d) be the third derivative of 4*d**2 - 1/15*d**5 + 0 + 0*d + 0*d**3 + 1/4*d**4 - 1/60*d**6. Factor s(w).
-2*w*(w - 1)*(w + 3)
Let k(r) be the second derivative of r**6/72 - 5*r**4/24 - 5*r**3/9 - 11*r**2/2 + 8*r. Let y(h) be the first derivative of k(h). Solve y(o) = 0.
-1, 2
Let s(l) be the second derivative of -5*l**4/12 + 85*l**3/3 - 1445*l**2/2 - l + 148. Solve s(o) = 0.
17
Determine x, given that 1/4*x**2 + 0 + 1/2*x**4 + 5/8*x**3 + 0*x + 1/8*x**5 = 0.
-2, -1, 0
Let x(q) be the third derivative of 0*q - 1/120*q**5 + 7*q**2 - 1/140*q**7 + 0 + 0*q**4 - 1/672*q**8 + 0*q**3 - 1/80*q**6. Factor x(p).
-p**2*(p + 1)**3/2
Let y(c) be the third derivative of -c**6/24 - 21*c**5/4 + 40*c**4/3 - c**2 + 19. Factor y(o).
-5*o*(o - 1)*(o + 64)
Let d(w) = 2*w**2 - 13*w - 30. Let u be d(11). Let k = u + -69. Factor k + 2*z**4 + 0*z - 2/3*z**5 + 0*z**3 - 8/3*z**2.
-2*z**2*(z - 2)**2*(z + 1)/3
Let n(k) = -3*k - 3. Let t be n(-2). Suppose -7*g = -8*g + t. Let -20*z**2 - 3*z + z**g + 7*z**3 - 5*z + 20*z**4 = 0. Calculate z.
-1, -2/5, 0, 1
Let v be (-23)/(-4) + 4/(96/(-18)). Let c(r) = -r + 1. Let d be c(-2). Let 5*o**3 + 5*o**v - 9*o**5 + d*o**4 - 3*o**2 + 0*o - 3*o + 2*o = 0. Calculate o.
-1, -1/4, 0, 1
Let x(c) = c**3 - 9*c**2 + 6*c + 21. Let j be x(8). Let m be 4/36*(-6)/(-4). Solve 1/6 - m*q**j + 1/3*q**2 + 1/2*q - 1/3*q**3 - 1/2*q**4 = 0.
-1, 1
Solve 1/2*d**5 - 2*d - 2*d**2 + 3/2*d**3 + 0 + 2*d**4 = 0 for d.
-2, -1, 0, 1
Let k be 2/4 + (-26)/(-4)*161/(-2737). Let 10/17*i**2 + 2/17*i**3 - 10/17 - k*i = 0. Calculate i.
-5, -1, 1
Let t = 2/86783 + 2082782/433915. Find g such that t*g**2 + 12/5*g**4 + 0 - 2/5*g**5 - 26/5*g**3 - 8/5*g = 0.
0, 1, 2
Let r(l) be the second derivative of -l**5/270 - l**4/36 - 25*l**2/2 + 23*l. Let f(n) be the first derivative of r(n). Solve f(z) = 0 for z.
-3, 0
Let r(l) be the third derivative of l**7/945 - l**6/90 - l**5/270 + l**4/18 + 158*l**2. Factor r(h).
2*h*(h - 6)*(h - 1)*(h + 1)/9
Let c = -4 - -9. Suppose 0 = -c*n + 80 - 30. Find a such that n*a - 10*a - 3*a**2 = 0.
0
Let i(m) = -3*m - 1. Let z = 10 - 11. Let c be i(z). Factor -p**2 + 0*p**4 + 2*p**c - 2*p**3 + p**4.
p**2*(p - 1)**2
Suppose 248*c = 250*c. Factor c*i + 1/7*i**2 + 0.
i**2/7
Suppose -i - 627 + 634 = 0. Let z(o) be the second derivative of 1/5*o**5 + 0*o**6 + 0 + 0*o**4 + 2*o - 1/21*o**i - 1/3*o**3 + 0*o**2. Solve z(v) = 0.
-1, 0, 1
Let c(z) be the first derivative of -16*z**5 + 25 - 30*z**3 - 1080*z + 5/6*z**6 - 810*z**2 + 365/4*z**4. Factor c(a).
5*(a - 6)**3*(a + 1)**2
Let p(y) = -y**2 + 7*y + 18. Let s(b) = 6 + 0*b + 21 - 2*b**2 + 0*b + 11*b. Let l(i) = -7*p(i) + 5*s(i). Factor l(j).
-3*(j - 3)*(j + 1)
Let p(d) = d**3 - d**2 - d + 1. Let s(n) = -21*n**3 - 45*n**2 - 33*n + 9. Let f(z) = -14*p(z) - 2*s(z). What is g in f(g) = 0?
-2, 2/7
Let j be (-4 - -3 - 1) + 105/72. Let m = 9/8 - j. Factor 2/3 - 4/3*l**4 + 2/3*l**2 - 1/3*l**5 + m*l - 4/3*l**3.
-(l - 1)*(l + 1)**3*(l + 2)/3
Suppose 0 = -2*b + 9*b - 21. Let c be b - -3 - 4 - (-24)/(-14). Factor -4/7*m - c - 2/7*m**2.
-2*(m + 1)**2/7
Let c = 154 + -130. Let j be ((-1)/10)/(8 - 195/c). Factor -3/5*f**3 + 2/5*f**4 + 4/5*f - j*f**2 + 0 + 1/5*f**5.
f*(f - 1)**2*(f + 2)**2/5
Let j(l) be the third derivative of l**7/360 - 37*l**6/720 + l**5/12 - 13*l**4/24 + 14*l**2. Let z(u) be the second derivative of j(u). Factor z(x).
(x - 5)*(7*x - 2)
Suppose -757*c**2 + 373*c**2 - 1 + 385*c**2 + 8*c - 8*c**3 = 0. Calculate c.
-1, 1/8, 1
Let c(f) be the second derivative of -1/126*f**4 + 0*f**3 + 0*f**2 + 0 - 2*f. Let c(b) = 0. What is b?
0
Let w(h) be the third derivative of -1/168*h**8 + 0*h**3 + 0*h**4 + 0*h - 1/120*h**5 + 0 - 6*h**2 - 3/140*h**7 - 1/40*h**6. Suppose w(s) = 0. Calculate s.
-1, -1/4, 0
Let i(g) be the third derivative of -g**5/60 + 2*g**3/3 - 263*g**2. Solve i(c) = 0 for c.
-2, 2
Solve -7401*z**3 - 30*z**2 + 7398*z**3 - 19*z - 56*z = 0 for z.
-5, 0
Let y(f) be the second derivative of -f**5/90 - 7*f**4/54 - 14*f**3/27 - 8*f**2/9 + 4*f - 3. Determine r so that y(r) = 0.
-4, -2, -1
Suppose 37*z + 5500 = 5611. Factor 2/5*t - 3/5*t**4 + 1/5*t**2 + 0 - 4/5*t**z.
-t*(t + 1)**2*(3*t - 2)/5
Find d such that 343 + 1701*d**2 - 729*d**3 - 4431*d + 8452*d - 5344*d = 0.
7/9
Suppose 7*y = -16*y. Let g(x) be the third derivative of 1/480*x**6 + 5/32*x**4 + 3/8*x**3 - 3*x**2 + 0 + 7/240*x**5 + y*x. Factor g(f).
(f + 1)*(f + 3)**2/4
Suppose 4*z - 7 - 5 = 0. Determine b so that -6 + 6 + 2 - 1 + 2*b**z - 2*b - b**2 = 0.
-1, 1/2, 1
Let i be 3*1 + 30/(-10). Suppose i = -0*c + c - 4*x + 7, 2*x - 6 = 0. Factor 5*w - 12 + 6*w + c*w - 4*w**2.
-4*(w - 3)*(w - 1)
Let u(v) be the first derivative of -1/6*v**6 - 4/5*v**5 + 5/2*v**2 - v**4 + 2*v - 22 + 2/3*v**3. Solve u(r) = 0.
-2, -1, 1
Let f(t) be the first derivative of 0*t + 19 + 0*t**2 - 1/7*t**4 - 4/7*t**3. Find v, given 