0 - q**4/4 - q**3/2 - q - 111. Let d(c) = 0. Calculate c.
-1, 0, 1
Let u(j) = -2*j**3 - 3*j**2 + 10*j - 9. Let z be u(-6). Let o be 4/(-18) - z/(-540). Solve 1/4*r**2 + 0 - o*r = 0.
0, 1
Let x(g) be the first derivative of -g**3/15 - 2*g**2/5 - 3*g/5 + 306. Factor x(w).
-(w + 1)*(w + 3)/5
What is w in -16594*w - 12 - 6 + 18*w**2 + 21*w**3 + 16573*w = 0?
-1, -6/7, 1
Suppose -11*g + 11536 = -3*g. Let m be g/238 + (-1 - 4). Factor -54/17*k**2 - 2/17*k**4 + m*k**3 + 54/17*k + 0.
-2*k*(k - 3)**3/17
Let 2*o**2 - 135*o + 20 + 32*o + 35*o + 46*o = 0. What is o?
1, 10
Let o = 214 - 209. Let c(a) be the third derivative of 0*a**3 + a**2 + 0 + 0*a + 0*a**4 - 1/180*a**o. Factor c(q).
-q**2/3
Let g = 1/2315 - -4623/16205. Suppose 0 + 8/7*t**2 - 8/7*t - g*t**3 = 0. What is t?
0, 2
Let q(o) = -o**3 - o**2. Let t = 41 + -40. Let g(s) = -s**3 - s**2. Let j(v) = t*q(v) - 6*g(v). Determine p so that j(p) = 0.
-1, 0
Let u(y) be the first derivative of 0*y - 3/40*y**5 - 1 + 0*y**2 + 2*y**3 + 0*y**4 + 1/24*y**6. Let a(f) be the third derivative of u(f). Factor a(n).
3*n*(5*n - 3)
Let r(n) = 20*n - 314. Let w be r(16). Let u(f) be the second derivative of 0 + w*f - 3/40*f**5 + 0*f**2 - 1/24*f**4 + 1/6*f**3. Let u(m) = 0. What is m?
-1, 0, 2/3
Let 43*i - 117*i**2 + 68*i - i**2 + 10 - 38 + 38*i**2 - 3*i**3 = 0. Calculate i.
-28, 1/3, 1
Let r(z) be the first derivative of z**7/840 + z**6/480 - z**5/60 - z**4/24 - 3*z**2 - 4*z + 51. Let h(l) be the second derivative of r(l). Factor h(b).
b*(b - 2)*(b + 1)*(b + 2)/4
Let r(t) be the first derivative of 1/28*t**4 + 40/7*t**2 - 100/7*t + 19/21*t**3 - 52. Find b such that r(b) = 0.
-10, 1
Let f(y) be the second derivative of y**9/5040 - y**7/840 + 3*y**4/4 - 4*y. Let j(b) be the third derivative of f(b). Factor j(g).
3*g**2*(g - 1)*(g + 1)
Let c(h) be the first derivative of -55/8*h**4 + 253/9*h**3 - 15/2*h**5 + 4/3*h + 38 - 31/3*h**2. What is x in c(x) = 0?
-2, 2/15, 1
Let k(u) be the first derivative of u**9/3024 - u**8/1120 + u**7/1680 - 8*u**3/3 + 1. Let b(a) be the third derivative of k(a). Suppose b(x) = 0. Calculate x.
0, 1/2, 1
Let u = 2585 - 43943/17. Find i such that 2/17*i**4 - u*i**5 + 0*i + 0 - 2/17*i**2 + 2/17*i**3 = 0.
-1, 0, 1
Let p(a) be the third derivative of a**9/161280 - a**8/53760 + a**5/3 - 37*a**2. Let z(g) be the third derivative of p(g). Factor z(c).
3*c**2*(c - 1)/8
Let a(h) be the third derivative of h**7/42 - h**6/6 + h**5/4 + 2*h**2 + 94*h. Let a(x) = 0. Calculate x.
0, 1, 3
Let o = -1 - 2. Let z(m) = -4*m + 3. Let g be z(o). Solve 8 + 3*j**2 + 40 + 9*j + g*j = 0.
-4
Let a = 143 + -138. Determine j, given that -9*j**5 - 6*j**5 + 11*j**a + 0*j**5 + 16*j**4 - 20*j**3 + 8*j**2 = 0.
0, 1, 2
Let b(t) be the first derivative of -t**6/20 + 3*t**5/20 - t**4/8 - 10*t - 10. Let h(s) be the first derivative of b(s). Determine d, given that h(d) = 0.
0, 1
Let z(s) = -4*s**2 - 56*s - 5. Let t(b) = -4*b**2 - 53*b - 6. Let n(r) = -5*t(r) + 4*z(r). Suppose n(j) = 0. What is j?
-10, -1/4
Suppose 13 = 4*a - 3, -2*j + 16 = 2*a. Let i(r) be the second derivative of 1/4*r**j + 3*r**2 + 3/2*r**3 + 5*r + 0. Factor i(l).
3*(l + 1)*(l + 2)
Let p(q) = 156*q**3 + 80*q**2 - 16*q + 7. Let r = -99 + 93. Let y(i) = 156*i**3 + 80*i**2 - 16*i + 6. Let t(x) = r*p(x) + 7*y(x). Factor t(f).
4*f*(3*f + 2)*(13*f - 2)
Let v(y) be the first derivative of y**7/70 - 7*y**6/90 + 2*y**4/3 + 4*y**3/3 + 43. Let t(i) be the third derivative of v(i). Solve t(l) = 0.
-2/3, 1, 2
Suppose 24/11*n**2 - 60/11*n**3 + 34/11*n**4 + 0 + 16/11*n - 6/11*n**5 = 0. Calculate n.
-1/3, 0, 2
Factor 3/2*g**2 - 53/2 - 79*g.
(g - 53)*(3*g + 1)/2
Let x(q) be the first derivative of 5/4*q**4 + 11 + 0*q + 0*q**2 + 5*q**3. Suppose x(r) = 0. Calculate r.
-3, 0
Suppose -s = -5*g + 193, -462 = 3*s - 5*g + 137. Let m be (-3)/30*(7 + s/14). Factor 0 + 1/4*c**4 + 0*c**2 + m*c**3 - c.
c*(c - 1)*(c + 2)**2/4
Let a(d) be the second derivative of -d**6/60 + d**5/10 - d**4/8 - d**3/3 + d**2 + 57*d - 2. Solve a(t) = 0.
-1, 1, 2
Let p = 5/114 + 299/114. Find c, given that -4*c**2 + 0 + 4*c**3 + p*c**4 - 8/3*c = 0.
-2, -1/2, 0, 1
Factor 396*l - 222*l**2 + 19 - 3*l**4 - 5*l**3 - 23 - 212 + 50*l**3.
-3*(l - 6)**2*(l - 2)*(l - 1)
Let s(m) be the first derivative of 0*m + 1/3*m**3 - 1/4*m**2 + 0*m**4 + 3 - 1/5*m**5 + 1/12*m**6. What is c in s(c) = 0?
-1, 0, 1
Suppose -5*n - 20 = -5*p + 4*p, -3*n = 9. Let w = 5 - p. Find m such that w*m**2 - 6*m**3 + 2*m**2 + 4*m**3 = 0.
0, 1
Let z = -6 - -8. Factor -4*o - 2*o - 4*o**2 + 4*o + 2*o**z.
-2*o*(o + 1)
Let z = -74 - -77. Let p be 2*z/(-20)*-2. Factor -p*h + 3/5*h**2 + 0.
3*h*(h - 1)/5
Let m(d) be the first derivative of 4 + 0*d + 4/3*d**6 + 0*d**2 + 7*d**4 - 8/3*d**3 - 28/5*d**5. Suppose m(f) = 0. Calculate f.
0, 1/2, 1, 2
Let a(j) = j**2 - 1. Let n(m) = -m**2 + 3. Let y(z) = -2*a(z) - n(z). Let g(b) = 2*b**2 + 4. Let l(q) = -2*g(q) - 6*y(q). Factor l(u).
2*(u - 1)*(u + 1)
Let h(b) be the first derivative of b**4 + 40*b**3/3 + 50*b**2 - 6. Factor h(x).
4*x*(x + 5)**2
Let u(y) = -y**2 - 1. Let a(k) = -k**3 - 7. Let p(l) = a(l) - 3*u(l). Let c be p(2). Factor m**2 - 2/3*m - 1/3*m**3 + c.
-m*(m - 2)*(m - 1)/3
Let r(t) be the second derivative of t**5/30 - t**4/3 + 8*t**3/9 + t - 21. Determine k so that r(k) = 0.
0, 2, 4
Let t(u) = -16*u**4 - 238*u**3 + 23*u**2 + 662*u - 451. Let v(g) = -23*g**4 - 356*g**3 + 34*g**2 + 994*g - 677. Let f(k) = -7*t(k) + 5*v(k). Factor f(i).
-3*(i - 1)**2*(i + 2)*(i + 38)
Let a(r) be the first derivative of 1/2*r**4 - 2/3*r**3 - 8 + 2/5*r**5 + 0*r - r**2. Find k such that a(k) = 0.
-1, 0, 1
Let l be (90/(-50))/(45/(-30)). Factor -2/5*m**3 + 0 + 0*m - l*m**2.
-2*m**2*(m + 3)/5
Let t be (-91)/(-440) + (-10)/55. Let w(k) be the third derivative of t*k**4 - 1/200*k**6 - 1/15*k**3 + 1/150*k**5 + 0*k + k**2 + 0. Factor w(r).
-(r - 1)*(r + 1)*(3*r - 2)/5
Let j(c) = -5 + 0*c - 2*c - 9 + 11*c. Let x be j(2). Determine v so that 0 - 3/4*v**3 + 3/4*v**5 + 1/2*v**2 - 1/2*v**x + 0*v = 0.
-1, 0, 2/3, 1
Let m be 12/(-3) + 0 - -7. Factor 90*r**m + r**5 + 8*r**4 + 4*r**5 - 100*r**2 - 43*r**4 + 40*r.
5*r*(r - 2)**3*(r - 1)
Let r(d) = d**3 + 7*d**2 + d. Let n be r(-6). Find o such that 2*o**2 - 5*o - 3*o**2 + 0*o + 6*o**2 - n = 0.
-2, 3
Let i be ((-168)/(-198)*9/2)/(-1 - -2). Factor -i*n + 36/11 + 6/11*n**3 + 0*n**2.
6*(n - 2)*(n - 1)*(n + 3)/11
Let m(o) be the third derivative of o**8/1260 - 37*o**7/1575 + 179*o**6/900 - 7*o**5/50 - 9*o**4/20 + 97*o**2. Let m(p) = 0. Calculate p.
-1/2, 0, 1, 9
Let u(m) be the third derivative of m**5/240 - 5*m**4/48 - 11*m**3/24 - 23*m**2 + 3. What is x in u(x) = 0?
-1, 11
Determine d, given that 2/11*d**3 + 222/11*d**2 - 6272/11 + 6048/11*d = 0.
-56, 1
Let c(p) be the first derivative of p**3/9 + 5*p**2/6 - 12*p - 300. Factor c(m).
(m - 4)*(m + 9)/3
Factor -1/6*b**2 - 1083/2 + 19*b.
-(b - 57)**2/6
Let y(i) be the third derivative of -1587*i**5/130 - 23*i**4/26 - i**3/39 - 248*i**2. Factor y(s).
-2*(69*s + 1)**2/13
Let g = 36 + -15. What is h in -1 + 3*h**4 - g*h + 16*h - 12*h**3 - 11 + 17*h + 9*h**2 = 0?
-1, 1, 2
Let g(v) be the first derivative of v**6/40 + 3*v**5/20 - 2*v**3 - 2*v**2 + 19. Let o(q) be the second derivative of g(q). Let o(y) = 0. What is y?
-2, 1
Let a be 2/((-9)/(135/(-2))). Suppose a = -4*t + 27. Let -12*f**3 + 12*f**5 - f**3 + 2*f**4 + 4*f**t - 3*f**4 - 2*f**2 = 0. What is f?
-2/3, -1/4, 0, 1
Let v(d) = -2*d**2 + 11*d + 9. Let u be v(6). Factor -13*w**3 - 17*w**3 + 3*w**4 + 30*w**2 - u*w**3.
3*w**2*(w - 10)*(w - 1)
Let x be (-3 + -2 - -5)/1. Let n(b) be the third derivative of 0*b**3 + 2*b**2 - 1/60*b**5 + x + 0*b - 1/96*b**4. Solve n(y) = 0.
-1/4, 0
Let h(g) be the second derivative of -15*g + 1/96*g**4 + 1/4*g**2 + 0 - 5/48*g**3. Factor h(s).
(s - 4)*(s - 1)/8
Let c(s) = -3*s + 1. Let a be c(-1). Let r be (-27 - 0)/((-3)/a). Solve 3*p**2 - 27*p**4 - 3*p**5 - 9*p**3 + 1 - 1 + r*p**4 = 0.
0, 1
Let r(g) = -g + 4. Let f be r(-3). Suppose -4 = 3*l - f*l. Find t, given that 0 - 2*t + t + l - 3 + t**2 = 0.
-1, 2
Let a(r) be the third derivative of -r**6/240 - r**5/5 - r**2 + 79. Factor a(k).
-k**2*(k + 24)/2
Suppose 13814*t - 6 = 13811*t. Factor -5/3 + 2*q - 1/3*q**t.
-(q - 5)*(q - 1)/3
Find p, given that 96/7 + 104/7*p + 32/7*p**2 + 2/7*p**3 = 0.
-12, -2
Let y(j) be the seco