+ 2*y(i). Let p be c(-9). Solve -1/4*x + 1/4*x**3 + 0*x**p + 0 = 0.
-1, 0, 1
Let v(l) be the second derivative of 0 - 5/21*l**3 - 1/70*l**5 + 2/7*l**2 - 6*l + 2/21*l**4. Factor v(o).
-2*(o - 2)*(o - 1)**2/7
Factor -1/3*o**4 + 0 - 7/3*o**2 + o + 5/3*o**3.
-o*(o - 3)*(o - 1)**2/3
Suppose 3*m = -m - 4, -5*m = -3*i + 32. Factor -i*h**2 - 8*h**2 - h**2 - 21*h**3 - 3*h - 9*h**4 + 3*h**2.
-3*h*(h + 1)**2*(3*h + 1)
Determine t so that 0 + 2/3*t**4 + 0*t + 4/3*t**3 + 2/3*t**2 = 0.
-1, 0
Let g = 75 - 75. Let f(a) be the second derivative of 0*a**5 + 0*a**2 + 3*a - 1/36*a**4 + 1/90*a**6 + 0*a**3 + g. Factor f(l).
l**2*(l - 1)*(l + 1)/3
Factor 8/7 - 2/7*o**3 - 16/7*o + 10/7*o**2.
-2*(o - 2)**2*(o - 1)/7
Let q(z) be the third derivative of z**5/12 - 13*z**4/24 + 4*z**2. Let w(m) = -2*m**2 + 6*m. Let c(l) = 4*q(l) + 9*w(l). Factor c(g).
2*g*(g + 1)
Let p(u) = 2*u**2 - 34*u + 3. Let a be p(17). Find g such that 13/2*g + 1 + 10*g**2 + 9/2*g**a = 0.
-1, -2/9
Let o(k) be the second derivative of k**3/3 - 5*k**2/2 - k. Let w be o(5). What is g in 0*g**3 - 2*g**w + g**5 + g**3 = 0?
-1, 0, 1
Let a(k) = 8*k + 91. Let c be a(-11). Determine g so that 4/5*g**2 + 0 - 2/5*g**c - 2/5*g = 0.
0, 1
Let d be ((-1)/3)/(2*(-5)/100). Factor 5/3*r + 5/3*r**4 + 1/3 + d*r**3 + 1/3*r**5 + 10/3*r**2.
(r + 1)**5/3
Let v(k) be the third derivative of 0 + 0*k**3 - 1/840*k**7 + 0*k**4 - 4*k**2 - 1/160*k**6 + 0*k - 1/120*k**5. Factor v(j).
-j**2*(j + 1)*(j + 2)/4
Let f be ((-7)/(-2))/(12/6). What is n in 0*n + 4*n**4 + 11/4*n**3 + 1/2*n**2 + 0 + f*n**5 = 0?
-1, -2/7, 0
Let o(c) be the second derivative of 1/36*c**4 + c**2 + 2/45*c**5 + 0*c**3 + 0 + 2*c. Let t(u) be the first derivative of o(u). What is n in t(n) = 0?
-1/4, 0
Let w(v) be the third derivative of 4/35*v**7 + 0*v**3 + 0 + 2*v**2 + 1/10*v**5 - 17/60*v**6 + 1/6*v**4 + 0*v. Let w(h) = 0. What is h?
-1/4, 0, 2/3, 1
Let x(q) be the first derivative of -1/9*q**6 + 0*q**2 + 1 + 2/9*q**3 + 0*q + 2/5*q**5 - 1/2*q**4. Determine v so that x(v) = 0.
0, 1
Let u be (-8)/2 + -1 + 5. Let a(x) be the second derivative of 0 + u*x**4 - 1/21*x**3 + 1/70*x**5 + 3*x + 0*x**2. Let a(v) = 0. Calculate v.
-1, 0, 1
Let x(q) be the third derivative of -1/20*q**5 - 6*q**2 + 0 + 1/4*q**4 + 0*q**3 - 3/40*q**6 + 0*q + 1/112*q**8 + 1/70*q**7. Factor x(u).
3*u*(u - 1)**2*(u + 1)*(u + 2)
Let p(h) be the third derivative of -h**8/1680 - 2*h**7/525 - h**6/100 - h**5/75 - h**4/120 - 17*h**2. What is a in p(a) = 0?
-1, 0
Let k(t) be the third derivative of -9*t**8/28 + 20*t**7/7 + 106*t**6/45 + 8*t**5/15 - 33*t**2. Determine x, given that k(x) = 0.
-2/9, 0, 6
Let s = 27/70 - -4/35. Determine b, given that -s*b**2 + 1/2 + 1/2*b**3 - 1/2*b = 0.
-1, 1
Let u(y) = 3*y**3 + 13*y**2 + 3*y - 7. Let d(j) = j**3 + 4*j**2 + j - 2. Let p(t) = -7*d(t) + 2*u(t). Solve p(i) = 0 for i.
-1, 0
Let r(c) be the first derivative of -2*c**3/9 + 2*c**2 - 6*c - 3. Factor r(b).
-2*(b - 3)**2/3
Let t(v) = 2*v**4 + 4*v**3 - v**2. Suppose 4 - 1 = b. Let m(i) = -20*i**3 + 13*i**2 + 1 - 7*i**2 - 1 - 10*i**4. Let l(u) = b*m(u) + 16*t(u). Factor l(f).
2*f**2*(f + 1)**2
Factor -15*m**2 + 10*m**3 - 5*m**4 - 12*m**3 + 6*m**3 - 24*m**3.
-5*m**2*(m + 1)*(m + 3)
Let p(q) = 3*q + 1 - 1 + 2*q**2. Let m(y) = 7*y - 14*y + 8*y. Let s(h) = -5*m(h) + p(h). Find o, given that s(o) = 0.
0, 1
Let n(v) be the second derivative of 1/9*v**3 + 0*v**4 + 1/90*v**6 - 1/30*v**5 - 1/6*v**2 + 0 - 5*v. Factor n(f).
(f - 1)**3*(f + 1)/3
Factor 12/13 + 10/13*x + 2/13*x**2.
2*(x + 2)*(x + 3)/13
Let t(u) = 5*u**3 + 6*u**2 + 9*u - 1. Let k(q) = -q**3 - q + 1. Let g(c) = 3*k(c) + t(c). Solve g(b) = 0.
-1
Let o(h) be the third derivative of h**8/13440 - h**6/480 + h**5/120 - h**4/8 + 3*h**2. Let y(t) be the second derivative of o(t). Factor y(c).
(c - 1)**2*(c + 2)/2
Let p(g) be the second derivative of g**6/195 + 3*g**5/130 + g**4/26 + g**3/39 - 8*g. Factor p(m).
2*m*(m + 1)**3/13
Let s(m) be the second derivative of -m**7/231 + m**6/165 + m**5/110 - m**4/66 - 4*m. Find c such that s(c) = 0.
-1, 0, 1
Let i(v) be the first derivative of -4*v**3/3 - 3*v**2 - 2*v - 3. Determine f, given that i(f) = 0.
-1, -1/2
Let p(h) be the second derivative of -h**6/360 + h**5/90 + h**4/72 - h**3/9 + 5*h**2/2 - 7*h. Let i(f) be the first derivative of p(f). Factor i(j).
-(j - 2)*(j - 1)*(j + 1)/3
Suppose 0 = 2*z - 7 - 1. Let v(h) be the third derivative of -1/90*h**5 + 0*h**z - h**2 + 0*h**3 + 0*h + 0. Suppose v(q) = 0. Calculate q.
0
Let h(z) = -37*z**4 - 101*z**3 - 149*z**2 - 35*z + 24. Let f(i) = 6*i**4 + 17*i**3 + 25*i**2 + 6*i - 4. Let j(d) = 39*f(d) + 6*h(d). Factor j(x).
3*(x + 1)*(x + 2)**2*(4*x - 1)
Suppose -h + 2 = h. Let u be 24/32 - h/2. Let -1/4*p**2 + 0 - u*p = 0. Calculate p.
-1, 0
Let z(d) be the first derivative of d**9/10584 + d**8/1960 + d**7/980 + d**6/1260 - 2*d**3/3 - 4. Let c(p) be the third derivative of z(p). Factor c(b).
2*b**2*(b + 1)**3/7
Suppose 4 = -6*y + 8*y. Factor 0*x + 1/4 - 1/4*x**y.
-(x - 1)*(x + 1)/4
Suppose 4*r + 63 = 5*c, -c - 3*r - 50 = -5*c. Suppose c*y = 6*y + 10. Let 0*w + 0 - 2/7*w**y = 0. Calculate w.
0
Let z be (-61)/4 + (-4)/(-16). Let o be (-4)/z + 4/10. Factor 0 - o*x + x**4 + 2/3*x**3 - x**2.
x*(x - 1)*(x + 1)*(3*x + 2)/3
Let k(t) be the first derivative of 2*t**3/3 + 3*t**2 + 9*t/2 + 41. Find g such that k(g) = 0.
-3/2
Determine z so that 0*z**3 + 0 + 4/5*z**4 + 2/5*z**5 - 2/5*z - 4/5*z**2 = 0.
-1, 0, 1
Let t = 8 + -6. Factor -2*l**3 - 4*l**5 - 5*l**3 - l**3 + 10*l**4 + t*l**2.
-2*l**2*(l - 1)**2*(2*l - 1)
Suppose 5*d - 25 = -5*j, -4*j = -0*j - 4*d - 4. Find g, given that 0 - 2/3*g**2 - 1/3*g**j - 1/3*g = 0.
-1, 0
Let y be (-1)/2 + (-49)/14. Let f(k) = 6*k**2 - 2*k + 4. Let n(c) = 5*c**2 - 2*c + 3. Let i(b) = y*n(b) + 3*f(b). Solve i(g) = 0.
0, 1
Let m(i) be the second derivative of -1/28*i**4 + 2*i - 1/7*i**3 + 0 + 3/70*i**5 + 3/14*i**2. Factor m(s).
3*(s - 1)*(s + 1)*(2*s - 1)/7
Let d(b) = b**3 + 4*b**2 + 7*b. Let u(w) = -w**3 - 4*w**2 - 8*w + 1. Let h(r) = 3*d(r) + 2*u(r). Suppose h(k) = 0. Calculate k.
-2, -1
Let p(b) be the first derivative of b**3/6 - 9*b**2/2 + 81*b/2 + 17. Factor p(q).
(q - 9)**2/2
Let r = -142 + 853/6. Factor 0 - r*h**3 + 0*h - 1/6*h**2.
-h**2*(h + 1)/6
Let i(f) = -8*f**5 - 8*f**4 + 8*f**2 + 14*f - 6. Let t(z) = -z**5 + z**3 + z - 1. Let n = -21 + 15. Let d(v) = n*t(v) + i(v). Solve d(k) = 0.
-2, -1, 0, 1
Let y = 772/415 + -5/83. Determine r, given that -y*r**2 - 3/5 - 3/5*r**3 - 9/5*r = 0.
-1
Let c(r) be the second derivative of 121*r**6/120 + 77*r**5/80 - 5*r**4/6 + r**3/6 + 6*r. Solve c(t) = 0.
-1, 0, 2/11
Let k = 0 + 2. Suppose -3*q = 2*w + k, 2*q - q + 12 = 5*w. Factor -4*l**3 + 0*l**w + 5*l**3 + 2*l**2.
l**2*(l + 2)
Let b(w) = 4*w**2 + 4*w - 5. Let l(q) = 7*q**2 + 7*q - 9. Let p(r) = 10*b(r) - 6*l(r). Factor p(u).
-2*(u - 1)*(u + 2)
Let p(m) be the third derivative of 0*m + 0 - 1/12*m**4 + 0*m**3 + 1/60*m**5 + 7*m**2. What is y in p(y) = 0?
0, 2
Let z = 39/2 + -19. Factor 0*c**2 - c - 1/2 + z*c**4 + c**3.
(c - 1)*(c + 1)**3/2
Suppose 2*j + 2*b = 34, j - 2*j - 2*b = -19. Suppose 0 = 3*f + 15, 3*d + f - j = -d. Factor 1/2*z**3 + 1/2*z**2 - 1/2*z**d - 1/2*z**4 + 0 + 0*z.
-z**2*(z - 1)*(z + 1)**2/2
Let f(l) be the first derivative of l**6/7 - 4*l**5/7 + 6*l**4/7 - 4*l**3/7 + l**2/7 - 2. Factor f(p).
2*p*(p - 1)**3*(3*p - 1)/7
Let a(o) be the second derivative of -2/9*o**2 + 1/9*o**3 + 1/45*o**6 + 1/18*o**4 - o - 7/90*o**5 + 0. Solve a(p) = 0.
-2/3, 1
Suppose 3*h = t + 44, -h + t + 12 = 2*t. Let v = h + -9. Find f such that -1/6*f**v + 0 - 1/3*f + 1/6*f**4 + 1/2*f**3 - 1/6*f**2 = 0.
-1, 0, 1, 2
Let x(y) be the first derivative of 3 + 0*y**2 + 0*y**3 - 2/15*y**5 - 1/6*y**4 + 0*y. Factor x(l).
-2*l**3*(l + 1)/3
Let k be ((-10)/3)/((-2)/3). Let b be (k/3)/(-5)*-6. Find y, given that y - y - 5*y**4 + 4*y - 6*y**2 + b*y**2 - 13*y**3 = 0.
-2, -1, 0, 2/5
Let p(i) be the third derivative of -i**8/560 - i**3 + 2*i**2. Let j(n) be the first derivative of p(n). Solve j(g) = 0.
0
Let o = 2 + -1. Let v(j) = j**4 + j. Let l(n) = -3*n**5 + 10*n**4 - 4*n**3 - 6*n**2 + 9*n - 2. Let w(m) = o*l(m) - 2*v(m). What is b in w(b) = 0?
-1, 2/3, 1
Let c(h) = -h**2 + 4. Let w be c(0). Solve 8 - 4*u - u**3 - 28*u**w - 34*u**2 + 5*u**5 + 26*u**3 + 28*u**3 = 0 for u.
-2/5, 1, 2
Suppose 12 