 - q**6/210 + q**4/84 + q**2 + 4*q. Let h(i) be the first derivative of p(i). What is d in h(d) = 0?
-1, 0, 1
Let f(b) = -b**3 - 8*b**2 - b - 3. Let r be f(-8). Let z(g) be the third derivative of 0 + 0*g**4 + g**2 - 1/60*g**r + 1/6*g**3 + 0*g. Let z(c) = 0. What is c?
-1, 1
Let t = -6 - -8. Factor -2*r**2 - r + t + r**2 + 1 - 1.
-(r - 1)*(r + 2)
Let 4/5 + 12/5*j + 13/5*j**2 + 6/5*j**3 + 1/5*j**4 = 0. Calculate j.
-2, -1
Suppose x + 4*x - n - 10 = 0, 6 = 3*x - 4*n. Suppose 6*q - 6*q**x + 5*q**3 + 0*q**3 - 2 - 3*q**3 = 0. What is q?
1
Let q be ((-3)/10)/((-6)/4). Let l = -34/5 + 7. What is s in -2/5 + q*s + l*s**2 = 0?
-2, 1
Let p be 0*(-3 + 2)*3/3. Let s(l) be the first derivative of 0*l + p*l**2 + 3 - 1/6*l**3 - 1/10*l**5 - 1/4*l**4. Let s(i) = 0. Calculate i.
-1, 0
Let q(c) be the first derivative of 1/2*c**6 + 3/2*c**2 + 0*c + 4*c**3 + 2 + 12/5*c**5 + 9/2*c**4. Let q(l) = 0. What is l?
-1, 0
Let v(y) be the first derivative of -y**6/1260 + y**5/420 - 4*y**3/3 - 4. Let t(u) be the third derivative of v(u). Find h, given that t(h) = 0.
0, 1
Suppose -11*p = -6*p - 15. Suppose g - 5*h = -3, 3*g - 3*h - p + 0 = 0. Factor 4/7*r**4 - 2/7*r**5 - 4/7*r**g + 0 + 2/7*r + 0*r**3.
-2*r*(r - 1)**3*(r + 1)/7
Let t(q) be the first derivative of 0*q**2 + 3/8*q**4 + 7/40*q**5 + 1/6*q**3 - 2 - q. Let h(x) be the first derivative of t(x). Find f, given that h(f) = 0.
-1, -2/7, 0
Let j(r) be the first derivative of -1/9*r**2 + 3 + 2/27*r**3 + 1/18*r**4 - 2/9*r. Factor j(b).
2*(b - 1)*(b + 1)**2/9
Let j(n) be the second derivative of n**8/36960 - n**6/3960 + n**4/12 + n. Let k(l) be the third derivative of j(l). Factor k(b).
2*b*(b - 1)*(b + 1)/11
Suppose -2*z + 3*z = 4*i + 3, -5*z - 3*i = -15. Suppose z*g - g = 6. Suppose -1/2*d**2 + 0*d + 0 + 1/2*d**g = 0. What is d?
0, 1
Let z(q) be the third derivative of -1/180*q**5 + 1/630*q**7 + 0 - 1/1008*q**8 + 1/360*q**6 + 0*q**4 + 0*q**3 + 0*q + 2*q**2. Factor z(w).
-w**2*(w - 1)**2*(w + 1)/3
Factor 181*u**3 - 171*u**3 - u**5 - 5*u - 4*u**5.
-5*u*(u - 1)**2*(u + 1)**2
Suppose 5*w + 4 = 9. Let v be (-6)/((-2)/1) - w. What is m in -1 - 4*m - 10*m**v + 0 + 7*m**2 = 0?
-1, -1/3
Factor -2/17*i**2 - 16/17*i - 32/17.
-2*(i + 4)**2/17
Let n be (-5)/(-20)*14 - 3. Suppose 0*a**2 + 0 + 1/2*a - n*a**3 = 0. Calculate a.
-1, 0, 1
Suppose 2*l + l = -r - 9, 3*r = 2*l + 28. Let a be ((-1)/(-2))/(r/300). Determine y so that 36*y**2 + 9*y**2 - 2 + 6 + a*y**3 + 24*y = 0.
-1, -2/5
Let k(c) = -3*c**2 + 6*c - 3. Let x(w) = 9*w**2 - 19*w + 10. Let z(o) = 17*k(o) + 6*x(o). Factor z(l).
3*(l - 3)*(l - 1)
Let k(m) be the third derivative of m**6/1320 - m**5/132 - 13*m**2 - 1. Factor k(j).
j**2*(j - 5)/11
Let z(t) be the second derivative of 5*t**7/42 - t**6/6 - t**5 + 5*t**4/3 - 23*t. Factor z(a).
5*a**2*(a - 2)*(a - 1)*(a + 2)
Let r(o) be the third derivative of o**6/660 - o**5/330 - o**4/66 + 10*o**2. Factor r(y).
2*y*(y - 2)*(y + 1)/11
Let h = 4 + -8. Let l be (8/10)/(h/(-20)). Determine g so that 0 + 5/2*g**3 + 9/2*g**5 + l*g**2 - 2*g - 9*g**4 = 0.
-2/3, 0, 2/3, 1
Suppose 4 = 4*c - 5*f + 33, c + 5*f = -1. Let h(i) = 5*i**2 + 5*i + 8. Let k(y) = 6*y**2 + 6*y + 9. Let q(d) = c*k(d) + 7*h(d). Factor q(r).
-(r - 1)*(r + 2)
Let k(i) = i**2 - 4*i. Let g be k(3). Let u(y) = -7*y**2 + 9*y - 5. Let l(z) = -4*z**2 + 5*z - 3. Let j(c) = g*u(c) + 5*l(c). Determine s, given that j(s) = 0.
0, 2
Let z be (6/7)/((-10)/(-28)). Factor -z*d + 18/5 + 2/5*d**2.
2*(d - 3)**2/5
Let g(z) = -z**3 - 7*z**2 + 8*z + 6. Let l be g(-8). Let l*v**2 - 4*v - 2*v**2 + 0*v**2 - 2*v**2 = 0. What is v?
0, 2
Let z = 50 - 546/11. Let b(s) = s**2 - 5*s + 6. Let r be b(4). Factor -2/11*f - z + 2/11*f**r.
2*(f - 2)*(f + 1)/11
Factor 1/2*m - 1/2*m**5 + m**4 + 0*m**3 + 0 - m**2.
-m*(m - 1)**3*(m + 1)/2
Let b(z) = 14*z**2 - 8. Let u(a) = 2 - 4 + 6*a**2 + 3*a**2 - 3. Let c(f) = 5*b(f) - 8*u(f). Let c(s) = 0. What is s?
0
Let t(a) = -44*a**4 - 320*a**3 - 1000*a**2 - 1024*a - 364. Let o(q) = -4*q**4 - 29*q**3 - 91*q**2 - 93*q - 33. Let c(x) = -32*o(x) + 3*t(x). Factor c(z).
-4*(z + 1)**2*(z + 3)**2
Let p = 182 + -182. Factor 4/3*y**3 + 8/9*y**4 + 2/9*y + 2/9*y**5 + 8/9*y**2 + p.
2*y*(y + 1)**4/9
Let z(o) be the third derivative of o**5/120 + o**4/16 - 13*o**2. Determine a, given that z(a) = 0.
-3, 0
Suppose 32*x = 37*x - 20. Let v(i) be the first derivative of 1 + 0*i - 1/2*i**2 + 2/3*i**3 - 1/4*i**x. Factor v(o).
-o*(o - 1)**2
Let o = -106 - -532/5. Solve 0 + 4/5*p + o*p**2 = 0.
-2, 0
Suppose 2*w - 4 = -j, 3*j + 32 = w + 4*w. Let r(a) = a**2 + 2*a - 4. Let m be r(j). Solve 17/3*c**3 - 2/3 - 7*c**2 - 5/3*c**m + 11/3*c = 0 for c.
2/5, 1
Let a = -583/5 + 118. Factor 7/5*z**3 + 2/5*z**2 - 2/5 - a*z.
(z - 1)*(z + 1)*(7*z + 2)/5
Let x(n) be the second derivative of 1/2*n**3 + 0 - 2*n + 0*n**2 + 5/12*n**4. Factor x(q).
q*(5*q + 3)
Let o(v) = 153 - 16*v**3 + 4*v - 8*v**2 - 153. Let n be (-10)/(2*(-2)/4). Let i(b) = -b**3 - b**2. Let z(q) = n*i(q) - o(q). Determine f so that z(f) = 0.
-2/3, 0, 1
Let a = 33 + 30. Let c be 77/a - (1 - 0). Determine w, given that 0 - c*w**2 + 2/3*w**4 + 4/9*w**3 + 0*w = 0.
-1, 0, 1/3
Let k be -3 + ((-3)/(-3))/(-1). Let q(x) = x**2 + 2*x - 5. Let j be q(k). Factor 9/2*u - j*u**4 + 1/2*u**5 - 1 - 8*u**2 + 7*u**3.
(u - 2)*(u - 1)**4/2
Let f**2 + 1/2 + 1/4*f**3 + 5/4*f = 0. What is f?
-2, -1
Let a(q) be the second derivative of -q**6/135 + q**5/45 + 2*q**4/27 - 2*q**3/27 - q**2/3 - 2*q + 3. Suppose a(v) = 0. What is v?
-1, 1, 3
Let m = -2/289 + 584/867. Factor -4/3*c**2 + m*c + 0.
-2*c*(2*c - 1)/3
Let k(u) = -3*u - 2. Let g be k(-2). Determine h, given that -g*h**3 + 6*h**2 - 15*h + 5*h + 2*h**2 + 6*h = 0.
0, 1
Suppose -24*g + 37 + 11 = 0. Factor -1/2*t**g + 0 - 1/4*t - 1/4*t**3.
-t*(t + 1)**2/4
Let c = 71/4 - 61/4. Factor c*y**4 - 7/2*y**3 - 3/2*y**2 + 7/2*y - 1.
(y - 1)**2*(y + 1)*(5*y - 2)/2
Let d = -698 + 41881/60. Let b(c) be the third derivative of -d*c**5 + 0 + 0*c + 1/6*c**3 - 1/24*c**4 - c**2 + 1/120*c**6. Find x, given that b(x) = 0.
-1, 1
Let c be 2/4*(11 - 1). Factor -c*o - 12*o**2 + 2 - 7 + 17*o + 2.
-3*(2*o - 1)**2
Let u be (-7)/(210/(-4)) - 8/(-15). Let -2/3*h**3 + 0*h + 0 + u*h**2 = 0. What is h?
0, 1
Suppose 0 = -5*s + o + 7, -s - o + 14 = 3*o. Factor 3*c - 3/4 - 3/4*c**4 - 9/2*c**s + 3*c**3.
-3*(c - 1)**4/4
Let t be 0 - (2 + -6)*1. Factor -3*r**2 + 5*r**4 - 4*r**t + 4*r**4 - 2*r**4.
3*r**2*(r - 1)*(r + 1)
Let s = 4204201/600 + -7007. Let y(h) be the third derivative of h**2 - s*h**6 - 1/120*h**4 + 0 + 0*h - 1/150*h**5 + 0*h**3. Factor y(z).
-z*(z + 1)**2/5
Let z be 65/(-15)*-1 + (-1)/3. Solve -2/5*m**2 + 4/5*m**3 + 0*m - 2/5*m**z + 0 = 0.
0, 1
Factor 94 + 6*b**2 - b**2 + 6 - b**2 - 40*b.
4*(b - 5)**2
Solve -3/5 + 3/5*s**2 - 1/5*s + 1/5*s**3 = 0 for s.
-3, -1, 1
Let z(d) be the second derivative of 0 - 7*d + 0*d**3 + 0*d**2 - 9/20*d**5 + 3/10*d**6 + 1/4*d**4 - 1/14*d**7. What is m in z(m) = 0?
0, 1
Let p(f) = -f**3 - f**2 - 1. Let k(q) be the first derivative of -q**4/2 - 4*q**3/3 - 3*q**2 - 8*q - 10. Let m(v) = k(v) - 4*p(v). Let m(u) = 0. Calculate u.
-1, 2
Let s = 15 - 11. Let t be 4 + -4 + s + -1. What is j in 0*j**t - 3 + 3 - j**3 = 0?
0
Suppose 0 = 3*k - g - 16, 0*k + 3*g = 5*k - 32. Let z = -4 + k. Let 0*n**2 - 2/9*n**3 + 0 + z*n = 0. Calculate n.
0
Factor 2/9*z**2 - 2/9*z**3 + 2/9*z - 2/9.
-2*(z - 1)**2*(z + 1)/9
Determine j so that -4*j**4 + 4*j - 39 - 4*j**3 + 4*j**2 + 39 = 0.
-1, 0, 1
Let w(r) be the first derivative of -r**5/10 - r**4/8 + r**3/2 + r**2/4 - r - 2. Factor w(u).
-(u - 1)**2*(u + 1)*(u + 2)/2
Find m such that -5 - 9*m + 4*m**3 - m**3 - 7 - 12*m - 6*m**2 = 0.
-1, 4
Let t = 2 + -2. Let c(d) = d**3 + 11. Let u be c(t). Factor k**2 - k**3 + u*k - 11*k.
-k**2*(k - 1)
Let v = -12 + 14. Let x(l) be the first derivative of -2/27*l**3 + 0*l**v + 2 + 2/9*l. Determine j so that x(j) = 0.
-1, 1
Let q be (6 + 4)*-3*1/(-6). Let t(u) be the second derivative of 0*u**2 + 0 + 0*u**3 + 3*u - 3/50*u**q - 1/25*u**6 - 1/105*u**7 - 1/30*u**4. Factor t(p).
-2*p**2*(p + 1)**3/5
Suppose -172*h - 4 = -173*h. Suppose 0*x + 2/9*x**3 - 2/9*x**h + 0 - 2/9*x**5 + 2/9*x**2 = 0. What is x?
-1, 0, 1
Let v(c) be the second derivative of c**4/36 - c**2/6 + 5*c. Suppose v(h) = 0. What is h?
-1, 1
Find b, given that 10/7*b + 4/7 + 8/7*b**2 + 2/7*b**3 = 0.
-2, 