 the second derivative of -r**7/6300 - r**6/450 - r**5/100 + r**4/6 + 20*r. Let d(s) be the third derivative of q(s). Let d(a) = 0. Calculate a.
-3, -1
Let d = 676/3069 - -2/1023. Let n(k) be the first derivative of 0*k**2 + 4 - d*k + 2/27*k**3. Factor n(l).
2*(l - 1)*(l + 1)/9
Let r(u) be the third derivative of 1/90*u**5 - 2/27*u**3 + 17*u**2 + 0*u + 5/108*u**4 + 0. Factor r(c).
2*(c + 2)*(3*c - 1)/9
Let p(s) = 18*s**3 + 104*s**2 + 84*s - 146. Let x(y) = 53*y**3 + 312*y**2 + 252*y - 439. Let b(z) = -7*p(z) + 2*x(z). Factor b(g).
-4*(g + 3)**2*(5*g - 4)
Suppose 0*j**2 - 6*j + 2*j**2 - 4*j + 0*j**2 - 4*j**2 + 28 = 0. What is j?
-7, 2
Factor -4/9*n + 0*n**2 + 1/9*n**3 + 0.
n*(n - 2)*(n + 2)/9
Let f(j) = -j**3 + 6*j**2 - 5*j - 6. Let g be f(5). Let u be (-9)/g*24/9. Determine z, given that 1/2*z + 5/4*z**2 - 1/4*z**5 + 3/4*z**3 - 1/4*z**u + 0 = 0.
-1, 0, 2
Let k(z) = 3*z**3 - 10*z**2 - 15*z + 22. Let s(u) = -6*u**3 + 19*u**2 + 30*u - 43. Let j(a) = -7*k(a) - 4*s(a). Suppose j(q) = 0. Calculate q.
-2, 1, 3
Suppose 0 = -5*c + 117 - 77. Let v(m) be the first derivative of 8/3*m**3 - 3*m**2 - 2*m - c. Factor v(z).
2*(z - 1)*(4*z + 1)
Let z(q) be the third derivative of 0*q**3 + 0 + 3*q**2 - 1/15*q**5 + 0*q**4 + 0*q + 1/30*q**6 + 1/70*q**7. Find t such that z(t) = 0.
-2, 0, 2/3
Let l = -40705/13 + 3135. Let 2/13*j**2 - 20/13*j + l = 0. What is j?
5
Let i = -76 - -100. Factor -38 + 0*z**3 + 4*z**3 - i*z**2 + 28*z + 28 + 2*z**4.
2*(z - 1)**3*(z + 5)
Let 2/5*l**4 + 2/5*l**5 - 6/5*l**3 + 0 + 4/5*l - 2/5*l**2 = 0. What is l?
-2, -1, 0, 1
Let c(o) be the first derivative of -1/12*o**4 + 0*o**2 - 6*o - 3 + 1/6*o**3. Let t(h) be the first derivative of c(h). Determine j so that t(j) = 0.
0, 1
Let c be (-2)/(60/8*((-11)/3 + 3)). What is p in -c*p**2 - 2/5 + 4/5*p = 0?
1
Let h(x) be the first derivative of 2*x**5/35 - 2*x**3/21 - 48. Factor h(j).
2*j**2*(j - 1)*(j + 1)/7
Let g(d) be the first derivative of -4*d**5/15 + 2*d**4/3 + 4*d**3 - 12*d**2 - 315. Factor g(u).
-4*u*(u - 3)*(u - 2)*(u + 3)/3
Let s(b) = 2*b**3 - b**2 + 6*b + 8. Let c be s(-2). Let n be 2/6 - c/9. Determine g, given that 6/7*g + 2/7 + 2/7*g**n + 6/7*g**2 = 0.
-1
Suppose -4*w + 9 = -w. Suppose -4*m + 2 = -3*b, 5*m + 4 = -2*b + 18. Find v such that 4 - 2*v**2 + v**2 + 3*v + w*v + 3*v**b = 0.
-2, -1
Let n(f) = -f**3 - f**2 + f - 1. Let x be (-62)/10 - (-6)/30. Let y(m) = -9*m**3 + 28*m**2 - 34*m + 6. Let t(r) = x*n(r) + 3*y(r). What is p in t(p) = 0?
2/7, 2
Let x = -143 - -161. Suppose x*c - 21 = 11*c. Suppose -3/2*f - 9/4*f**2 + 0 - 3/4*f**c = 0. What is f?
-2, -1, 0
Factor 3/2 - 3*j + 9/8*j**2.
3*(j - 2)*(3*j - 2)/8
Let b = -2275/62 + 6/31. Let c = 37 + b. Suppose 0*z**2 - z**3 + 0 + 3/2*z**5 + c*z**4 + 0*z = 0. What is z?
-1, 0, 2/3
Let j(h) be the third derivative of h**6/480 + h**5/120 - h**4/32 + 120*h**2. Factor j(l).
l*(l - 1)*(l + 3)/4
Let z = 4604 - 4600. Let l be (3/(-5))/(1/(-2)). What is i in l + 81/5*i**2 + 21/5*i**z + 39/5*i + 69/5*i**3 = 0?
-1, -2/7
Find u such that u - 6/5*u**2 + 0 + 1/5*u**3 = 0.
0, 1, 5
Let -36*m**4 + 80*m**2 - 66*m + 65*m**3 - 44*m**4 - 45*m**5 + 46*m = 0. Calculate m.
-2, -1, 0, 2/9, 1
Let i(n) be the third derivative of n**6/24 + 7*n**5/12 + 5*n**4/3 - 40*n**3/3 - 59*n**2. Find h, given that i(h) = 0.
-4, 1
Let o = -1/1695 - -1085/339. Factor 7/5*u**4 - 16/5*u - o + 1/5*u**5 + 16/5*u**3 + 8/5*u**2.
(u - 1)*(u + 2)**4/5
Factor 2/19*a**2 + 6050/19 - 220/19*a.
2*(a - 55)**2/19
Let c(h) be the first derivative of -h**6/6 - 3*h**5/4 - 5*h**4/12 + 5*h**3/2 + 5*h**2 + 13*h - 2. Let b(u) be the first derivative of c(u). Factor b(s).
-5*(s - 1)*(s + 1)**2*(s + 2)
Factor 57*r**3 - 60*r**3 - 3*r**4 - 147*r**2 - 39*r**3.
-3*r**2*(r + 7)**2
Let o(l) be the first derivative of -l**3/3 + l**2/2 + 8*l - 3. Let q be o(3). Factor -4/3*j**q + 1 + 11/3*j.
-(j - 3)*(4*j + 1)/3
Let i(r) = -12*r**5 + 8*r**4 - 11*r**3 + 39*r**2 - 17*r + 4. Let h(m) = m**5 - m**3 - m**2. Let a(z) = 22*h(z) + 2*i(z). Solve a(y) = 0 for y.
1, 4
Let f(w) be the second derivative of -2/7*w**2 + 1/35*w**5 - 2/21*w**3 + 11*w + 1/21*w**4 - 2. Factor f(b).
4*(b - 1)*(b + 1)**2/7
Solve 4 - x + 2*x**2 - 7*x**3 - 10*x**2 - 11*x**2 - 7*x + 0*x**2 = 0.
-2, -1, 2/7
Suppose 3/2*g**3 - 23*g**2 + 8 - 33/2*g = 0. Calculate g.
-1, 1/3, 16
Let b(n) = 10*n - 38. Let y be b(4). Factor -7*q - 469*q**2 - y*q + 466*q**2.
-3*q*(q + 3)
Let u(v) be the first derivative of -2*v**5/45 - 7*v**4/18 - 8*v**3/27 + 4*v**2/3 + 71. Factor u(r).
-2*r*(r - 1)*(r + 2)*(r + 6)/9
Suppose 2*z - 135 = -7*z. Let c = z - 13. Solve -4/9*t + 0 - 2/9*t**c = 0 for t.
-2, 0
Let h(b) = -155*b - 463. Let m be h(-3). Let -3/5*i + 0 + 3/5*i**m = 0. Calculate i.
0, 1
Let b = 2187/19 - 115. Determine p so that -b*p**2 + 4/19*p - 2/19 = 0.
1
Solve 9/2*b + b**2 + 7/2 = 0 for b.
-7/2, -1
Suppose 630*m**3 - 5145*m - 75*m**4 - 219*m**5 + 222*m**5 - 1470*m**2 + 34923 - 13314 = 0. What is m?
-3, 7
Let c(r) = 15*r**4 - 146*r**5 - 10*r**3 + 144*r**5 + 3*r**4. Let z(k) = 25*k**5 - 235*k**4 + 130*k**3. Let g(l) = -40*c(l) - 3*z(l). Let g(n) = 0. What is n?
0, 1, 2
Let r(d) = d - 3. Let j be r(7). Let p(n) = n - 3. Let q be p(8). Factor 2*x**j + 28*x**2 - 2*x**q - 28*x**2.
-2*x**4*(x - 1)
Let u(c) be the first derivative of 2*c**3/15 - 3*c**2/5 + 4*c/5 + 55. Suppose u(f) = 0. What is f?
1, 2
Let q(a) be the second derivative of -a**7/8820 + 3*a**5/140 - 5*a**4/6 + 35*a. Let z(h) be the third derivative of q(h). Solve z(k) = 0 for k.
-3, 3
Factor -1/3*g**2 + g + 40/3.
-(g - 8)*(g + 5)/3
Let d(t) be the first derivative of 3*t**5/5 + 27*t**4/4 - 63*t**3 + 285*t**2/2 - 126*t - 354. Solve d(c) = 0.
-14, 1, 3
Let p(k) be the second derivative of -k**5/300 - k**4/24 - 2*k**3/15 - 3*k**2 + 2*k. Let y(f) be the first derivative of p(f). Factor y(r).
-(r + 1)*(r + 4)/5
Let y be ((-4)/40)/1*(12 - 17). Let b(s) be the first derivative of -y*s**4 + 0*s**2 - 2 + 0*s - 2/3*s**3. Suppose b(a) = 0. What is a?
-1, 0
Suppose 76*a - 47 = 103 + 154. Let 0 + 4/3*v - 14/3*v**a - 4/3*v**3 + 14/3*v**2 = 0. What is v?
-1, -2/7, 0, 1
Let z(m) = -401*m**3 + 370*m**2 - 121*m + 8. Let q(l) = 400*l**3 - 368*l**2 + 122*l - 7. Let u(k) = -4*q(k) - 5*z(k). Factor u(g).
3*(3*g - 1)**2*(15*g - 4)
Let y be 22/10*(2/2 + 9). Suppose 0*j + 8 = 4*o - 2*j, 6 = 3*o + 4*j. Solve 3*h**o - y*h**4 - h**2 + 20*h**4 = 0.
-1, 0, 1
Suppose 17*j - 14*j - 15 = 0. Let d(n) be the first derivative of -2*n**2 + 0*n + j + 2/5*n**5 - 2*n**3 + 0*n**4. Factor d(o).
2*o*(o - 2)*(o + 1)**2
Let i(j) be the second derivative of j**7/231 + 2*j**6/55 + j**5/22 + 264*j. Factor i(h).
2*h**3*(h + 1)*(h + 5)/11
Factor -36/7*y**2 + 66/7*y - 32/7 + 2/7*y**3.
2*(y - 16)*(y - 1)**2/7
Let z(h) be the first derivative of -h**3/12 - h**2/4 - 33. Factor z(y).
-y*(y + 2)/4
Let l(g) be the second derivative of 5*g**9/3024 + g**8/168 - g**6/36 - g**5/24 + 13*g**3/3 + 7*g. Let a(m) be the second derivative of l(m). Factor a(n).
5*n*(n - 1)*(n + 1)**3
Suppose -60*r + 61*r - 4 = -3*j, 0 = -2*j + r + 6. Let -8/3 + 28/3*y + 16/3*y**j = 0. What is y?
-2, 1/4
Suppose 57*w - 3 = 56*w. Let b be (-1)/4 + 20/48. Factor -1/3*s**w + 0*s - b*s**4 + 0 - 1/6*s**2.
-s**2*(s + 1)**2/6
Suppose -603 = 3*o + 3*x, -2*o - x - 405 = -0*x. Let t be (-4 - -2)/(o/36). Factor -2/17*p**2 + t*p + 0.
-2*p*(p - 3)/17
Suppose -3*n - 3 = 0, -4*n = -4*w + 7 + 9. Factor 0 + w*m**2 - 16*m + 17*m - m**3 + 2 - 5*m**2.
-(m - 1)*(m + 1)*(m + 2)
Let g(s) be the first derivative of 2*s**5/25 - s**4/2 + 14*s**3/15 - 3*s**2/5 - 392. Factor g(t).
2*t*(t - 3)*(t - 1)**2/5
Let y(x) be the first derivative of -7 - 12*x - 3/4*x**4 - 12*x**2 - 5*x**3. Determine h so that y(h) = 0.
-2, -1
Factor 32/7 - 32/7*f - 1/7*f**3 + 10/7*f**2.
-(f - 4)**2*(f - 2)/7
Let d(s) be the third derivative of -s**7/105 - s**6/20 + s**5/30 + s**4/4 + 86*s**2. Factor d(a).
-2*a*(a - 1)*(a + 1)*(a + 3)
Let a be 16/(-2)*(30 + 2178/(-72)). Factor 0*z**4 + 0*z**3 + 0*z + 0 + 0*z**a - 2/5*z**5.
-2*z**5/5
Let p = 3 + 0. Suppose p*r + 4 = 10. Factor -7*w + 2 + 9*w - r*w**2 + 0*w**2 - 2*w**3.
-2*(w - 1)*(w + 1)**2
Let u(t) be the first derivative of -t**4/10 - 2*t**3/5 + 2*t**2 - 178. Solve u(m) = 0 for m.
-5, 0, 2
Let l(w) be the second derivative of 7*w**4/36 + w**3/18 - w**2 + 4*w + 5. Suppose l(n) = 0. Calculate n