)**2
Let t = -182/25 - -4964/675. Let x(q) be the first derivative of 0*q + 13 + t*q**3 + 1/18*q**4 + 0*q**2. What is k in x(k) = 0?
-1, 0
Let x(l) be the third derivative of -l**7/8820 + l**6/420 - l**5/84 + 19*l**4/24 - 21*l**2. Let q(v) be the second derivative of x(v). What is r in q(r) = 0?
1, 5
Let 9/4*k**5 - 29/4*k**4 + 1/2*k + 33/4*k**3 - 15/4*k**2 + 0 = 0. Calculate k.
0, 2/9, 1
Let t(h) be the first derivative of 5*h**3/3 - 480*h**2 + 46080*h - 150. Factor t(f).
5*(f - 96)**2
Let s(a) = 6*a + 13. Let g be s(-5). Let z = g + 17. Factor -2/3*b**3 + 0*b - 4/3*b**2 + z.
-2*b**2*(b + 2)/3
Let y(i) be the second derivative of 4*i**6/15 - 9*i**5/5 + 7*i**4/3 + 4*i**3 - 13*i - 1. Determine f so that y(f) = 0.
-1/2, 0, 2, 3
Suppose -43 = -c - 27. Let y be (-1)/(-21)*c + 1/(-3). Let 9/7*v**3 + 0 + y*v**4 + 9/7*v**2 + 3/7*v = 0. Calculate v.
-1, 0
Factor -3 - 25/4*u + 6*u**3 + 7/2*u**4 - 1/2*u**2 + 1/4*u**5.
(u - 1)*(u + 1)**3*(u + 12)/4
Let k(w) be the third derivative of -1/132*w**4 + 0*w**3 + 1/165*w**5 + 7/660*w**6 + 3*w**2 + 0*w + 0 + 4/1155*w**7. Determine h, given that k(h) = 0.
-1, 0, 1/4
Let y(i) be the second derivative of -i**4/66 - 3*i**3/11 - i + 9. Factor y(w).
-2*w*(w + 9)/11
Let u = -176 + 181. Let v(y) be the second derivative of 8/7*y**2 + 129/70*y**u + 20/7*y**3 + 1/3*y**6 - 5*y + 73/21*y**4 + 0. Determine i so that v(i) = 0.
-2, -1, -2/5, -2/7
Factor -113*y**2 - y**5 + 2 + 1 + 103*y**2 - 21*y**3 - 3 - 12*y**4.
-y**2*(y + 1)**2*(y + 10)
Let j(u) be the third derivative of u**5/30 + 11*u**4 + 1452*u**3 + 253*u**2. What is x in j(x) = 0?
-66
Let l(d) = d**2 + 57*d - 100. Let w(z) = 4*z**2 + 114*z - 199. Let g(v) = 5*l(v) - 2*w(v). Determine u so that g(u) = 0.
2, 17
Let x(n) be the first derivative of n**7/42 + n**6/12 - 5*n**4/12 - 5*n**3/6 + 19*n**2 - 1. Let k(u) be the second derivative of x(u). Factor k(y).
5*(y - 1)*(y + 1)**3
Let a(m) be the second derivative of -7*m**7/540 + 7*m**6/90 - m**5/9 + 2*m**4/27 + 13*m**3/6 - 15*m. Let t(x) be the second derivative of a(x). Factor t(o).
-2*(o - 2)*(7*o - 2)**2/9
Let z = -1106/9 + 123. Let h(v) be the first derivative of 2 - v**2 - z*v**3 - 3*v. Let h(x) = 0. Calculate x.
-3
Let x(t) be the first derivative of t**6/2 + 3*t**5/5 - 3*t**4/4 - t**3 - 76. Factor x(o).
3*o**2*(o - 1)*(o + 1)**2
Let k(g) be the third derivative of g**7/70 - 3*g**6/40 - 19*g**5/20 + 3*g**4/8 + 9*g**3 - 4*g**2 + 48. Suppose k(x) = 0. Calculate x.
-3, -1, 1, 6
Let y(r) be the second derivative of r**4/36 - 7*r**3/6 - 11*r**2/3 - 57*r. Factor y(d).
(d - 22)*(d + 1)/3
Let u(o) = -o**3 + 5*o**2 - 3*o + 19. Suppose -24*m + 22*m + 10 = 0. Let v be u(m). Find z such that 1/4*z**3 + 1/4*z**v - 1/4*z**2 + 0 - 1/4*z = 0.
-1, 0, 1
Let w(r) be the first derivative of 25/4*r**2 - 5/3*r**3 + 1/8*r**4 + 5 + 0*r. Factor w(i).
i*(i - 5)**2/2
Suppose 3*a + 23 = -5*v + 54, 4*a = -4*v + 44. Suppose 0 = 2*b - b - 2*x, 4*b + 4*x - a = 0. Factor 15/4*d**4 + 3*d**b + 0 - 3/4*d**5 + 0*d - 6*d**3.
-3*d**2*(d - 2)**2*(d - 1)/4
Suppose 13*w = 12*w + 2. Suppose -w*g - 4*b = -20, 4*b - 5 = -g + 15. Find m, given that 2/5*m**2 + 2/5*m**3 + 0 + g*m = 0.
-1, 0
Let h = 47305 + -235742/5. Let u = h - 155. Factor -u*q**2 - 6/5*q + 0.
-2*q*(4*q + 3)/5
Let m(g) be the first derivative of -7/3*g + g**2 + 1/9*g**3 - 26. Factor m(l).
(l - 1)*(l + 7)/3
Let u(k) be the first derivative of -k**4/10 + 2*k**3/15 + 13*k**2 - 90*k + 302. Suppose u(i) = 0. Calculate i.
-9, 5
Suppose 0 = -v - 48 + 50. Let w(t) be the third derivative of 0 + 0*t**3 + 1/4*t**4 + 0*t - 1/20*t**5 - 1/40*t**6 - 5*t**v. Factor w(l).
-3*l*(l - 1)*(l + 2)
Let o(q) = q**2 - q + 2. Let u be o(0). Let z be u - 12/((-16)/4). Factor -2*n + 4*n - n**2 + 0*n**2 + 4 - z*n**2.
-2*(n - 1)*(3*n + 2)
Let o(a) = 16*a + 6*a**2 + 2*a**2 - 12 - 769*a**3 + 757*a**3. Let r(c) = -c**4 + c**3 + c**2 - 1. Let q(h) = o(h) + 4*r(h). Let q(m) = 0. What is m?
-2, 1
Let d(n) be the third derivative of -7*n**6/60 + 19*n**5/30 - 2*n**4/3 - 4*n**3/3 - 41*n**2. Factor d(t).
-2*(t - 2)*(t - 1)*(7*t + 2)
Let n be (2322/(-3096))/(0 + (-21)/36). Let n - 10/7*z**3 - 1/7*z**4 + 10/7*z - 8/7*z**2 = 0. Calculate z.
-9, -1, 1
Let j be 1/(((-5)/(-4))/5). Factor -2*k + j*k**2 - 3*k**3 + 4*k + 2*k**3 - 6*k.
-k*(k - 2)**2
Let d(w) be the second derivative of 5*w**7/14 + 14*w**6/5 + 27*w**5/4 - w**4/2 - 26*w**3 - 36*w**2 - 594*w. Solve d(r) = 0 for r.
-2, -3/5, 1
Let d(p) be the first derivative of -p**3/3 + 6*p**2 - 9*p - 11. Let m(j) = 3*j**2 - 48*j + 36. Let n(y) = -9*d(y) - 2*m(y). Determine l, given that n(l) = 0.
1, 3
Let y(a) be the first derivative of a**6/40 - 39*a**5/20 + 507*a**4/8 - 2197*a**3/2 - 22*a**2 - 51. Let n(c) be the second derivative of y(c). Factor n(q).
3*(q - 13)**3
Let j(d) be the third derivative of d**8/10080 - d**7/2520 - d**6/180 + d**5/12 + d**4/6 - 49*d**2. Let k(n) be the third derivative of j(n). Factor k(g).
2*(g - 2)*(g + 1)
Let f(l) = -119*l - 24. Let u be f(-6). Find q such that 686 + 9*q - 35*q - 26*q**2 - u + 56*q**3 = 0.
-2/7, -1/4, 1
Let c(a) be the second derivative of 10*a**2 - 5/42*a**7 + 7/6*a**6 + 125/12*a**4 + 4*a + 0 - 19/4*a**5 - 40/3*a**3. Solve c(t) = 0.
1, 2
Let m be (112/882)/(8/14). Suppose z = 2*l - 2, 0 = 3*z - 0*z + 4*l - 14. Let 0*s + m*s**z - 2/9 = 0. What is s?
-1, 1
Let n(c) = 5*c + 18. Let h be n(-3). Suppose -4*z**3 - 12*z - 28*z**3 - 38*z**3 + 6*z**h + 48*z**2 + 1 = 0. What is z?
1/4
Let z(y) be the second derivative of -9/80*y**5 - 7/8*y**4 + 4*y + 17/6*y**3 + 0 - 3*y**2. Factor z(w).
-(w + 6)*(3*w - 2)**2/4
Let f(c) = c**2 + 2*c - 20. Let z be f(-6). Find j such that -5*j**3 - 155*j**5 + 78*j**5 + 15*j**2 + 82*j**5 - 15*j**z = 0.
-1, 0, 1, 3
Suppose 2*q + z + 495 = -4*z, -3*q + 4*z = 708. Let l = -1199/5 - q. Determine b so that 2/5*b**4 + 0*b + 0*b**2 + 0 - 1/5*b**3 - l*b**5 = 0.
0, 1
Suppose -11*p - 48 = 18. Let x be 8/(-14)*3/p. Determine b, given that -1/7*b**2 - x*b - 1/7 = 0.
-1
Let i(t) be the third derivative of t**5/270 + 5*t**4/54 + t**3/3 - 9*t**2 - 2*t. Factor i(v).
2*(v + 1)*(v + 9)/9
Let z(s) be the first derivative of -6 + 0*s + 5/3*s**3 + 0*s**2 + 0*s**4 - s**5. Factor z(g).
-5*g**2*(g - 1)*(g + 1)
Let r(c) be the second derivative of -1/34*c**4 + 1/170*c**5 + 0*c**3 + 0*c**2 + 0 + 34*c. Factor r(n).
2*n**2*(n - 3)/17
Let h = 894857 + -562864860/629. Let r = h - 7/37. Solve 2/17*i**2 + 0*i - r = 0 for i.
-1, 1
Let d(t) be the third derivative of -2*t**7/735 - 29*t**6/210 + 94*t**5/105 - 32*t**4/21 - 813*t**2. Determine n so that d(n) = 0.
-32, 0, 1, 2
Let h = -1908/23 + 9563/115. Let h + 7/10*f - 39/10*f**2 = 0. What is f?
-2/13, 1/3
Suppose -7*p = -2*p - d - 11, -2*p - d = -10. Suppose -7 = p*o - 16. Solve -9 + 36 + 9 + t**3 + 12*t - 20*t**2 + o*t**3 = 0.
-1, 3
Let i(b) = -9*b**3 - 7*b**2 - 4*b + 5. Let f(d) = -7*d**3 - 6*d**2 - 3*d + 4. Let h(m) = -5*f(m) + 4*i(m). Let h(z) = 0. Calculate z.
0, 1
Let l = -19680 + 39365/2. Find j, given that 0 + l*j - 1/2*j**2 = 0.
0, 5
Let m = 19 + -23. Let s be (m/6)/(17/(-85)). Factor -5/3*p**3 - 5/3*p**5 + s*p**4 + 0*p + 0 + 0*p**2.
-5*p**3*(p - 1)**2/3
Let o(i) be the first derivative of -i**4/12 + i**3/3 + 72. Find j such that o(j) = 0.
0, 3
Let z(r) = r**2 - 48*r - 7. Let f(v) = -v**2 + 24*v + 4. Let k(p) = -7*f(p) - 4*z(p). Solve k(n) = 0.
-8, 0
Let g(c) = c**2 - 7*c - 5. Let d be g(8). Factor 14*p**3 - 28*p**d + 9*p**3.
-5*p**3
Suppose 5*i = 20, 0*i = 5*g - 5*i - 25. Factor 6*k**2 - 3*k**5 - 12 + 6*k**5 + 12 - g*k**3.
3*k**2*(k - 1)**2*(k + 2)
Let r(u) be the second derivative of -u**2 - 1/2*u**3 - 3*u + 1/20*u**5 + 0*u**4 + 0. Factor r(s).
(s - 2)*(s + 1)**2
Let i(a) be the second derivative of a**6/40 - 3*a**4/4 + 2*a**3 + 398*a. Find y such that i(y) = 0.
-4, 0, 2
Let u = -954/85 - -62/5. What is j in -50/17 - 2/17*j**2 + u*j = 0?
5
Let 2/5*g**3 + 2/5*g + 4/5*g**2 + 0 = 0. What is g?
-1, 0
Let l be -3 + 3 + -1 + 2. Let b(u) = 3*u**2 + 4*u - 7. Let p be -8*(3/(-6) - -1). Let h(x) = x**2 - 1. Let c(y) = l*b(y) + p*h(y). Factor c(d).
-(d - 3)*(d - 1)
Let v = 301529/2204 - 33/551. Let h = -136 + v. Factor h*t**4 - 1/4 - 1/4*t**5 + 3/4*t - 1/2*t**3 - 1/2*t**2.
-(t - 1)**4*(t + 1)/4
Let a(i) be the first derivative of -i**4/4 - 13*i**3/3 - 31*i**2/2 + 45*i - 212. Factor a(z).
-(z - 1)*(z + 5)*