/(-7) - -1)/(i/(-2)). Factor -u**3 + v*u**2 - 1/2*u**4 + 1/2 + u.
-(u - 1)*(u + 1)**3/2
Let d(h) be the first derivative of -h**3/3 - 11*h**2/2 + 15*h + 52. Let r be d(-12). Factor 0*j + 0 - 3/8*j**r + 1/4*j**2.
-j**2*(3*j - 2)/8
Factor -390*l**4 + 105*l**2 + 772*l**4 - 20*l**3 - 387*l**4.
-5*l**2*(l - 3)*(l + 7)
Let v(y) = -y**3 + 5*y**2 + 6. Let g = -16 - -21. Let b be v(g). Determine x, given that -b*x**3 - 3*x**2 + 4*x**4 - 4*x**4 + x**4 - 4*x**4 = 0.
-1, 0
Suppose 7 + 1 = 4*w. Factor 11*r**2 + 2*r + 16 + 12*r - 15*r**2 - w*r.
-4*(r - 4)*(r + 1)
Let p(q) be the third derivative of q**4/24 + q**3 - q**2 + q. Let a be p(-4). Factor -2/5*c**a + 2*c - 8/5.
-2*(c - 4)*(c - 1)/5
Let s = 2556 + -2553. What is u in -1/6*u - 1/3*u**2 + 1/3*u**s + 1/6 + 1/6*u**4 - 1/6*u**5 = 0?
-1, 1
Let w(z) = 9*z**2 + 6*z. Suppose 0 = -o + 3 + 3. Let v(r) = 2*r**2 - 11063*r + 2*r**2 + 11066*r. Let k(c) = o*w(c) - 14*v(c). Determine q so that k(q) = 0.
-3, 0
Let j(r) be the first derivative of 35*r**6/4 + 36*r**5/5 - 93*r**4/8 - 12*r**3 - 3*r**2 + 61. Solve j(i) = 0 for i.
-1, -2/5, -2/7, 0, 1
Let a(n) be the second derivative of n**5/50 + n**4/3 + 9*n**3/5 + 18*n**2/5 + 7*n - 2. Factor a(z).
2*(z + 1)*(z + 3)*(z + 6)/5
Let b(n) = -6*n + 32. Let p be b(5). Let f(d) be the first derivative of 1/14*d**4 - 2/21*d**3 - 1/7*d**p + 2/7*d - 4. Factor f(u).
2*(u - 1)**2*(u + 1)/7
Let z(k) be the first derivative of -k**7/168 + k**6/40 - k**5/40 + 11*k - 5. Let f(d) be the first derivative of z(d). Factor f(c).
-c**3*(c - 2)*(c - 1)/4
Let n(f) be the first derivative of 5/6*f**3 - 2/5*f**5 + 3/8*f**4 - 3/4*f**2 - 1/2*f - 21. Determine a so that n(a) = 0.
-1, -1/4, 1
Let z(u) = -19*u**4 + 29*u**3 + 74*u**2 - 96*u - 44. Let d(q) = q**4 - q**3 - q**2 - q + 1. Let g(a) = 4*d(a) + z(a). Solve g(j) = 0.
-2, -1/3, 2
Factor -352*m - 549*m**2 - 547*m - 709*m + 930*m**3 - 972*m**3 + 3*m**4 - 1104.
3*(m - 23)*(m + 1)*(m + 4)**2
Let i be (12 - 737/66)*(-132)/15 + 8. Find o, given that 0 - 8/3*o - i*o**2 = 0.
-4, 0
Let i(b) be the third derivative of b**8/168 - 13*b**7/105 + 29*b**6/30 - 53*b**5/15 + 85*b**4/12 - 25*b**3/3 + 247*b**2. Determine z so that i(z) = 0.
1, 5
Let h be (18/4)/(9/8). Let c(a) be the first derivative of 9 - 16/7*a - 7/3*a**3 - h*a**2. Factor c(q).
-(7*q + 4)**2/7
Determine q so that 4/7*q**2 - 20/7*q**5 - 4/7*q**4 + 0*q + 20/7*q**3 + 0 = 0.
-1, -1/5, 0, 1
Let f(p) be the first derivative of -p**3/9 - p**2 - 8*p/3 + 79. Suppose f(b) = 0. What is b?
-4, -2
Suppose 4/5*v**2 + 16/5*v - 84/5 = 0. What is v?
-7, 3
Let k be (28 + -13)/30*4. Solve 32/3 - 16/3*b + 2/3*b**k = 0.
4
Let b(i) be the second derivative of -i**5/20 - i**4/6 + i**3/2 + 751*i. Let b(p) = 0. What is p?
-3, 0, 1
Let -19/4*s - 1/4*s**2 + 21/2 = 0. Calculate s.
-21, 2
Let s(g) = -3*g**3 - 63*g**2 + 45*g - 9. Suppose 13*d = 17*d - 60. Let c(m) = -m**3 - 16*m**2 + 11*m - 2. Let h(f) = d*c(f) - 4*s(f). Let h(i) = 0. What is i?
1, 2
Suppose -b = 2*b - 45. Suppose b = 3*z + 6. Suppose 2*a**4 - 15*a**2 + 5 - 12*a**z - 24*a + 41*a**2 + 3 = 0. What is a?
1, 2
Determine f so that -341*f - 1/3*f**3 + 363 - 65/3*f**2 = 0.
-33, 1
Suppose 7*d = 6*d + 20. Let s be ((-12)/d)/((-4)/110). What is a in 21/2*a**3 + 6*a**5 + 33/2*a**2 - 39/2*a**4 - s*a + 3 = 0?
-1, 1/4, 1, 2
Solve 17 - 67/2*h + 1/2*h**3 + 16*h**2 = 0.
-34, 1
Let p(d) = -3*d**3 - 24*d**2 + 6*d + 63. Let x(w) = w**2 + 1. Let q(i) = p(i) + 9*x(i). Factor q(j).
-3*(j - 2)*(j + 3)*(j + 4)
Let d(j) be the third derivative of -j**6/540 - j**5/90 + 4*j**3/27 - 122*j**2. Solve d(s) = 0.
-2, 1
Suppose 4410*y**3 + 2932*y**4 + 14480*y**2 + 4084101 + 972405*y - y**5 - 2827*y**4 + 2*y**5 + 78130*y**2 = 0. Calculate y.
-21
Let m(a) = -2*a**2 + 7*a - 10. Let h(q) = -q**2 + 8*q - 9. Let f(j) = 3*h(j) - 2*m(j). Let b be f(-11). Factor -504 + 4*d**5 - 4*d**2 - 4*d**3 + 504 + b*d**4.
4*d**2*(d - 1)*(d + 1)**2
Let q(z) be the second derivative of z**4/60 + 38*z**3/5 + 6498*z**2/5 - 452*z. Solve q(n) = 0.
-114
Let a be (-4)/(-2)*(-2)/(-4)*-117. Let p = a - -477/4. Factor -5/4*m**4 - p*m**2 + 1/2 + 1/4*m - 13/4*m**3.
-(m + 1)**3*(5*m - 2)/4
Factor -592*v**2 + 179*v**3 + 916*v**2 + 4*v**5 + v**3 + 216*v + 44*v**4.
4*v*(v + 2)*(v + 3)**3
Suppose -2*y - 2*y - 2*c - 44 = 0, -2*y + c - 30 = 0. Let p = y - -15. What is s in -11/6*s - 73/6*s**3 - 8/3*s**5 - 28/3*s**4 - 1/6 - 43/6*s**p = 0?
-1, -1/4
Let u(v) be the first derivative of v**2/2 - v - 5. Let i be u(5). Let -2*g**5 + 2*g**2 - 6*g**4 + i*g - 2*g**2 + 6*g**2 - 5*g**3 + 3*g**3 = 0. What is g?
-2, -1, 0, 1
Let u(n) be the second derivative of 0*n**2 + 0 + 19*n - 1/114*n**4 - 1/57*n**3. Find s such that u(s) = 0.
-1, 0
Let d(j) = j**3 + 28*j**2 + 28*j + 30. Let r be d(-27). Let b be -28*5/(-40) - r. Solve -b*z**5 + 5/2*z**3 - 1/2*z**2 - 4*z - 2 + 1/2*z**4 = 0.
-1, 2
Factor -3/2*s**5 + 0*s**2 + 0*s + 3*s**3 + 0 - 3/2*s**4.
-3*s**3*(s - 1)*(s + 2)/2
Let k(u) be the second derivative of 0*u**2 + 0 - 1/5*u**5 - 4/3*u**3 + 2*u + u**4. Solve k(n) = 0.
0, 1, 2
Let l(v) be the second derivative of 3*v**5/20 + 5*v**4/4 - 3*v**3 + 2*v + 16. Factor l(z).
3*z*(z - 1)*(z + 6)
Let l(k) be the first derivative of -k**8/840 + k**7/140 - k**6/90 + 8*k**3/3 + 2. Let g(x) be the third derivative of l(x). Suppose g(q) = 0. What is q?
0, 1, 2
Let l(z) be the first derivative of -2*z**4 + 61*z**3/3 - 16*z**2 - 21*z + 172. Let l(j) = 0. Calculate j.
-3/8, 1, 7
Let h(s) be the third derivative of -s**6/18 - s**5/5 - 3*s**4/10 - 2*s**3/3 + 36*s**2. Let a(z) be the first derivative of h(z). Factor a(q).
-4*(5*q + 3)**2/5
Let v(u) = -90*u**2 - 48*u - 27. Let t(z) be the first derivative of 13*z**3/3 + 7*z**2/2 + 4*z + 10. Let g(w) = -27*t(w) - 4*v(w). Factor g(r).
3*r*(3*r + 1)
Let z = 196 - 77. Let j = -1067/9 + z. Determine y, given that -j - 2/3*y**2 + 34/9*y**4 + 14/9*y - 4/3*y**5 - 26/9*y**3 = 0.
-2/3, 1/2, 1
Let n = -81/4 + 2675/132. Let v(l) be the third derivative of n*l**4 - 1/33*l**3 + l**2 + 0 - 1/330*l**5 + 0*l. Solve v(s) = 0.
1
Let o(n) = -5*n**4 - 18*n**3 + 48*n**2 - 19*n - 3. Let p(y) = y**4 - 2*y**2 - y + 1. Let l(t) = o(t) + 3*p(t). Solve l(f) = 0 for f.
-11, 0, 1
Let t = -1175 - -1179. Let c(m) be the second derivative of -5/6*m**t + 0 + 1/4*m**5 - 13*m + 5/6*m**3 + 0*m**2. Let c(l) = 0. Calculate l.
0, 1
Factor 2/13*m**4 + 8/13*m + 12/13*m**2 + 8/13*m**3 + 2/13.
2*(m + 1)**4/13
Let y(a) be the second derivative of -5*a**6/14 - a**5/70 - a - 151. Factor y(i).
-i**3*(75*i + 2)/7
Let n(h) be the second derivative of 10/21*h**7 + 0 - 10/3*h**4 + 2*h - 2/3*h**3 + 4*h**2 - 4/5*h**5 + 16/15*h**6. Factor n(m).
4*(m - 1)*(m + 1)**3*(5*m - 2)
Suppose -2*h = -5*k - 0*h + 16, -3*k + 2*h = -12. Let j be (-16)/(-16)*(k + 3). Factor 2/9*s**j + 0 + 0*s - 2/9*s**3 + 2/9*s**4 - 2/9*s**2.
2*s**2*(s - 1)*(s + 1)**2/9
Factor 5/2*b**2 + 0 + 1/8*b**4 - 3/2*b - 9/8*b**3.
b*(b - 6)*(b - 2)*(b - 1)/8
Let c = -51966/7 - -7438. Suppose 40*q**2 - c*q**3 + 32/7 - 176/7*q = 0. What is q?
2/5, 2
Suppose -20*h - 10 = -22*h. Let o(y) be the second derivative of y + 1/12*y**3 + 1/24*y**4 + 0 - 1/4*y**2 - 1/40*y**h. Suppose o(w) = 0. What is w?
-1, 1
Let m(l) be the second derivative of -l**7/336 - l**6/15 - 97*l**5/160 - 139*l**4/48 - 95*l**3/12 - 25*l**2/2 - 56*l. Factor m(g).
-(g + 2)**3*(g + 5)**2/8
Suppose 5/3*y**4 + 14/3*y**2 + 0*y - 37/3*y**3 + 0 = 0. Calculate y.
0, 2/5, 7
Suppose -24 = -x - 5*q, -4*x - 5*q + 2*q = -28. Determine m so that -15*m**x + 5*m**2 + 66*m**5 - 40*m**3 + 15*m**2 - 21*m**5 = 0.
-1, 0, 2/3
Suppose -1/5*d**3 + 1/5*d + 7/5*d**2 - 7/5 = 0. What is d?
-1, 1, 7
Let a be ((-14112)/(-1365))/(-16) + 14/5 + -2. Find t, given that -2/13*t**2 - a*t**3 + 8/13 + 8/13*t = 0.
-2, -1, 2
Let z(q) be the third derivative of q**6/280 + 3*q**5/70 + 11*q**4/56 + 3*q**3/7 + 4*q**2 - 9*q. Determine k, given that z(k) = 0.
-3, -2, -1
Let b(q) be the second derivative of q**5/100 + q**4/10 + q**3/6 + 19*q. Factor b(z).
z*(z + 1)*(z + 5)/5
Let c(z) = -z**3 - 8*z**2 - 3*z - 15. Let t be c(-8). Factor -t*v**2 + 383 - 3*v**3 + 12*v - 383.
-3*v*(v - 1)*(v + 4)
Let a be (-63)/(-15) - 1 - 2. Let o be (14/(-21) + 2/(-15))/(-2). Find p, given that a*p - o*p**2 - 4/5 = 0.
1, 2
Factor 11/2*c**4 + 0 + 1/2*c**5 + 33/2*c**3 + 7*c + 37/2*c**2.
c*(c + 1)**2*(c + 2)*(c + 7)/2