 of d**4/20 - 2*d**3/5 - 3*d**2/2 - 26*d. Let m(z) = 0. What is z?
-1, 5
Let z be 15/(-2)*8/(-10). Let g = -4 + z. Suppose 8/3 - 16/3*x + 10/3*x**g - 2/3*x**3 = 0. Calculate x.
1, 2
Let l(u) be the second derivative of -1/25*u**5 + 1/30*u**4 + 1/75*u**6 + 0*u**2 + 0 + 0*u**3 + u. Factor l(b).
2*b**2*(b - 1)**2/5
Let w(t) = 10*t**2 - 15*t + 5. Let h(p) = -p**2 - 1. Let i(y) = -5*h(y) - w(y). Factor i(n).
-5*n*(n - 3)
Let s(v) be the third derivative of v**5/140 + 3*v**4/28 - v**3/2 + 2*v**2 - 17*v. Factor s(x).
3*(x - 1)*(x + 7)/7
Let h be (2 - 2) + (3 - 2). Let l = h - -4. What is j in -j + 4 + 2*j + 0*j - j**3 + j**2 - l = 0?
-1, 1
Let b(y) = -3*y**4 + 2*y**3 + 3*y**2 - 4*y + 2. Let k(p) = 4*p**4 - 2*p**3 - 4*p**2 + 5*p - 3. Let q(n) = 6*b(n) + 4*k(n). Factor q(w).
-2*w*(w - 2)*(w - 1)*(w + 1)
Factor 6/11*c**2 + 2/11*c**3 - 8/11 + 0*c.
2*(c - 1)*(c + 2)**2/11
Let n = 7 + -4. Let k = -3 + n. Factor k - 2/7*x + 2/7*x**2.
2*x*(x - 1)/7
Suppose 0 = 6*p - 5*p. Let t(g) be the second derivative of 0 + 0*g**2 + 1/12*g**4 + 2*g + p*g**3 + 1/20*g**5. Let t(o) = 0. What is o?
-1, 0
Let u(j) be the first derivative of -2*j**6/3 - 4*j**5 - 3*j**4 + 12*j**3 - 44. Factor u(g).
-4*g**2*(g - 1)*(g + 3)**2
Factor -2/9*a**2 - 4/3*a - 2.
-2*(a + 3)**2/9
Solve 2/3*f**5 + 4/3*f**2 + 0 + 0*f**3 - 2/3*f - 4/3*f**4 = 0.
-1, 0, 1
Suppose -4*g - 12 = -5*a, 0*g - 9 = -a + 3*g. Let x be (1 - (-7)/(-3))/((-20)/60). Factor 1/4*d**2 + 0*d + a - 1/2*d**3 + 1/4*d**x.
d**2*(d - 1)**2/4
Let g(s) = -6*s**3 + 6*s**2 + 6*s - 2. Let q(y) = 25*y**3 - 25*y**2 - 25*y + 7. Let j(t) = -9*g(t) - 2*q(t). Determine a, given that j(a) = 0.
-1, 1
Let x(v) be the first derivative of -v**9/10584 + v**7/980 - v**6/630 - 4*v**3/3 - 1. Let i(y) be the third derivative of x(y). Solve i(g) = 0 for g.
-2, 0, 1
Let i(h) be the first derivative of -5*h**6/6 - h**5 + 5*h**4/4 + 5*h**3/3 + 15. Solve i(l) = 0 for l.
-1, 0, 1
Solve -32/9*d**2 - 34/9*d**3 + 0 - 8/9*d - 10/9*d**4 = 0 for d.
-2, -1, -2/5, 0
Let x(q) be the first derivative of 0*q**3 + 3*q**2 + 4*q - 1/2*q**4 + 4. What is f in x(f) = 0?
-1, 2
Let d be 12/(-27)*(-9)/2. Suppose 0 = 2*z + d*z. Find q, given that -2/5*q + z - 2/5*q**4 + 2/5*q**3 + 2/5*q**2 = 0.
-1, 0, 1
Let y(a) be the second derivative of 3*a**7/7 - 37*a**6/4 + 2919*a**5/40 - 1845*a**4/8 + 475*a**3/4 + 375*a**2/2 + 4*a - 5. Solve y(n) = 0 for n.
-1/4, 2/3, 5
Let y(g) = -g**3 - 2*g**2 + 2*g - 2. Let x(p) = 4*p**3 + 9*p**2 - 9*p + 9. Let h(o) = 3*o + 15. Let l be h(-11). Let q(a) = l*y(a) - 4*x(a). Factor q(b).
2*b**3
Let f be 310/40 + 0 + -7. Factor 0 + f*n + 1/4*n**2.
n*(n + 3)/4
Let a(b) be the third derivative of -b**7/4620 + b**6/1980 - b**3/3 - 4*b**2. Let u(w) be the first derivative of a(w). Let u(t) = 0. What is t?
0, 1
Let b be 4 - (1696/(-12) + -2). Let f = b - 146. Factor -8/3 + 2*p**2 + 8/3*p - f*p**3 - 2/3*p**4.
-2*(p - 1)**2*(p + 2)**2/3
Let h(y) be the first derivative of -y**7/2940 + y**6/1260 + y**5/210 + y**3/3 - 5. Let f(b) be the third derivative of h(b). Determine k, given that f(k) = 0.
-1, 0, 2
Let j be (1 + -1)/(17 + -20). Let b = 67 + -199/3. Factor b*l**4 + 0*l**2 + 0 + j*l**3 + 0*l.
2*l**4/3
Let b(y) be the third derivative of 4*y**7/105 - y**6/10 + 3*y**5/40 - y**4/48 + y**2. Suppose b(a) = 0. Calculate a.
0, 1/4, 1
Let g(d) = d**4 + d**3 + d - 1. Let o(n) = -6*n**4 - 6*n**3 + 4*n**2 + 2*n + 2. Let r(p) = 2*g(p) + o(p). Determine f, given that r(f) = 0.
-1, 0, 1
Suppose 4*j = j + 9. Let g(w) be the first derivative of 0*w**4 - 2/9*w**j + 0*w**2 + 1/15*w**5 - 2 + 1/3*w. Factor g(u).
(u - 1)**2*(u + 1)**2/3
Let w(g) be the second derivative of 0 + 1/21*g**4 + 0*g**2 - 1/21*g**3 - 5*g - 1/70*g**5. Let w(s) = 0. What is s?
0, 1
Let d(m) be the first derivative of 3*m**4 + 76*m**3/3 + 66*m**2 + 36*m + 12. Factor d(u).
4*(u + 3)**2*(3*u + 1)
Let a(b) be the third derivative of b**5/180 - b**4/24 - 5*b**3/9 - 2*b**2 - 5*b. What is j in a(j) = 0?
-2, 5
Let o be (-6 + 2)*(1 + 1)/(-12). Factor -4/3*t**3 + 4/3*t + 0 - o*t**4 + 2/3*t**2.
-2*t*(t - 1)*(t + 1)*(t + 2)/3
Let s = 155 - 149. Let z(d) be the third derivative of 0*d**3 - 1/72*d**4 - 2*d**2 + 0*d - 1/360*d**s + 0 + 1/90*d**5. Factor z(o).
-o*(o - 1)**2/3
Suppose 0 = -2*x - 4*v + 8, 6*x - v - 9 = x. Factor -4*a - 1/2*a**3 + 5/2*a**x + 2.
-(a - 2)**2*(a - 1)/2
Let m(r) be the first derivative of 2*r**5/5 + r**4 + 2*r**3/3 + 7. Factor m(s).
2*s**2*(s + 1)**2
Let h be ((-2)/4)/(30/(-20)). Factor 1/2*u - 1/6*u**3 + 0*u**2 - h.
-(u - 1)**2*(u + 2)/6
Let u(n) be the second derivative of n**6/180 + n**5/60 + n**3/3 + 2*n. Let b(j) be the second derivative of u(j). Find t such that b(t) = 0.
-1, 0
Let z be 8/(-36) - (-88)/234. Factor -2/13*n - 2/13 + 2/13*n**2 + z*n**3.
2*(n - 1)*(n + 1)**2/13
Let m be (-5)/(-10)*-2*1*-2. Let n(c) be the first derivative of 0*c + 1 + 0*c**3 + 1/6*c**4 + 0*c**m + 7/15*c**5. Factor n(o).
o**3*(7*o + 2)/3
Let v(j) = -j**2 + 4*j. Let y be 0 + 8/(3 + 1). Let x be v(y). Factor 0*r**3 - 2/3*r**x + 4/3*r**2 + 0*r - 2/3.
-2*(r - 1)**2*(r + 1)**2/3
Let n(l) = 14*l - 40. Let v be n(3). Solve 2/3*z**3 - 2/3*z + 0*z**v + 0 = 0 for z.
-1, 0, 1
Let q(m) be the third derivative of -m**7/210 - m**6/300 + m**5/15 + m**4/15 - 66*m**2. Suppose q(c) = 0. What is c?
-2, -2/5, 0, 2
Factor 132*c + 504*c**2 + 735*c**3 + 1029/4*c**4 + 12.
3*(c + 2)*(7*c + 2)**3/4
Let u(p) be the third derivative of -3*p**6/40 - p**5/4 + 4*p**4/3 - 2*p**3 - 3*p**2 + p. Find z such that u(z) = 0.
-3, 2/3
Suppose 5*b + 6 = -v, 0 = -5*v - 3*b + 6 + 8. Factor -16*n**3 - 16*n**2 + 14*n**4 - 3*n**4 + n**v.
4*n**2*(n - 2)*(3*n + 2)
Suppose 1/2*d**4 - 1/3*d**3 + 1/2 + 1/6*d + 1/6*d**5 - d**2 = 0. What is d?
-3, -1, 1
Let u(i) be the first derivative of -i**6/6 + 3*i**5/5 - 3*i**4/4 + i**3/3 - 1. Factor u(p).
-p**2*(p - 1)**3
Factor -1/7*v**2 + 1/7 + 0*v.
-(v - 1)*(v + 1)/7
Let r(s) be the second derivative of -s**7/15 - 4*s**6/25 - 3*s**5/50 + s**4/15 - 3*s. Suppose r(x) = 0. What is x?
-1, 0, 2/7
Suppose 529 - 266 + 30*c**2 - 267 + 26*c = 0. What is c?
-1, 2/15
Suppose c + 8 = 5*c. Suppose 6*g = c*g + 3*x - 4, 10 = -5*g + 5*x. Find i, given that 3*i**2 + 1 - 2*i + 2*i**3 - 4*i**g + 0*i = 0.
-1, 1/2, 1
Let d(m) be the first derivative of 0*m + 1/7*m**2 + 2 - 10/21*m**3 + 2/7*m**4. What is c in d(c) = 0?
0, 1/4, 1
Let q be 1/3*6/7. Suppose -j = 3*l + 6 - 17, 5*j - 19 = -3*l. Factor 0 + 2/7*h**4 - q*h**2 + 0*h + 0*h**l.
2*h**2*(h - 1)*(h + 1)/7
Suppose 378 = v - 7*v. Let a be 15/(-10)*24/v. Factor -8/7*f**2 - 2/7*f**3 - a - 10/7*f.
-2*(f + 1)**2*(f + 2)/7
Let r(t) be the first derivative of -9*t**6/2 + 21*t**4 + 18*t**3 - 9*t**2/2 - 6*t - 6. Let r(m) = 0. Calculate m.
-1, -1/3, 1/3, 2
Let o be (-11)/(-33) + (-4)/(-18). Let b(u) be the first derivative of 1/2*u**2 + 2/3*u - o*u**3 - 1/2*u**4 + 3. Factor b(m).
-(m + 1)*(2*m + 1)*(3*m - 2)/3
Let d be ((-40)/(-15))/(2/3). Let x(q) be the second derivative of 3*q - 1/54*q**d - 1/27*q**3 + 0 + 2/9*q**2. Solve x(p) = 0.
-2, 1
Let l(p) = p**2 - p. Let v(c) = c**2 - c. Let i(f) = -3*l(f) + 2*v(f). Find y, given that i(y) = 0.
0, 1
Factor 0 + 2/5*h**2 - 1/5*h**4 + 0*h - 1/5*h**3.
-h**2*(h - 1)*(h + 2)/5
Let h(m) be the first derivative of m**3/3 - 5*m**2 + 13*m + 1. Let g be h(9). Factor 6*d - d**2 - d**2 - g + 0*d.
-2*(d - 2)*(d - 1)
Let q be 6/4 + 0/(-3). Let v = q - 1. Determine t so that 1/2*t**3 + 0 - v*t + 0*t**2 = 0.
-1, 0, 1
Let c(t) be the first derivative of t**4/60 + t**3/30 - t**2/5 + 2*t - 1. Let n(y) be the first derivative of c(y). Determine a, given that n(a) = 0.
-2, 1
Let m be (-16 + 4)/(1*-2). Let l be 10/8 + m/(-8). What is g in g + l + 1/2*g**2 = 0?
-1
Let y be 521*-2*(-1)/(-8). Let c = 131 + y. Factor 0 - 1/2*x - c*x**2 - 1/4*x**3.
-x*(x + 1)*(x + 2)/4
Let n(b) = b**3 + 7*b**2 - 9*b - 5. Let d be n(-8). Factor 2/7*y**d - 4/7*y**2 + 2/7*y + 0.
2*y*(y - 1)**2/7
Let l(c) be the first derivative of c**6/3 - 2*c**5/5 - c**4/2 + 2*c**3/3 + 9. Factor l(y).
2*y**2*(y - 1)**2*(y + 1)
Let w be 8/12 + 4/3. Let p(g) be the second derivative of -1/24*g**4 + 0*g**5 + 2*g + 1/60*g**6 + 0*g**3 + 0 + 0*g**w. Solve p(d) = 0 for d.
-1, 0, 1
Let f be -4 + 3 + (-1 - -2). Factor 0*m - 1 + f*m - 4*m**2 + 2*m**4 + 3*m + 3*m**2 - 3*m**3.
(m - 1)**2*(m + 1)*(2*m - 1)
Let m be (1/14)/(6/408).