Determine r so that 6/7*r + 6/7*r**2 + 2/7 + 2/7*r**g = 0.
-1
Let p(r) be the second derivative of -2/9*r**3 + 1/36*r**4 - 5*r + 2/3*r**2 + 5. What is j in p(j) = 0?
2
Suppose 0 = 3*o + o + 72. Let a be o/(-13)*3 + (-14)/91. Let 9*z**2 - 4 - 6*z - 3*z**2 + 3*z**4 - z**a - 4*z**2 + 6*z**3 = 0. Calculate z.
-2, -1, 1
Let x = -767657/3 + 255899. Determine n, given that 100/3 + 4/3*n**2 - x*n = 0.
5
Factor 4/5*r**2 + 9716180 - 5576*r.
4*(r - 3485)**2/5
Let y(b) be the first derivative of 1/2*b**4 + 13*b**3 - 159/16*b**2 - 168 + 5/2*b. Suppose y(a) = 0. What is a?
-20, 1/4
Let h(z) be the second derivative of 0 - 28*z - 5/16*z**4 + 3/80*z**5 - 21/8*z**2 - 13/8*z**3. Factor h(w).
3*(w - 7)*(w + 1)**2/4
Let r = -1742743 - -8713727/5. Factor -16/5*v - 2/5*v**4 + 0 + r*v**2 + 6/5*v**3.
-2*v*(v - 4)*(v - 1)*(v + 2)/5
Let n = -199 + 221. Let z be (-172)/(-220) - 4/n. Solve 12/5*h**2 + 3*h + z*h**3 + 6/5 = 0 for h.
-2, -1
Let x(b) be the second derivative of b**6/120 + b**5/60 - 5*b**4/24 + b**3/3 - 3*b**2 - 3*b - 3. Let n(s) be the second derivative of x(s). Factor n(a).
(a - 1)*(3*a + 5)
Let a = -2217 - -19958/9. Let k(d) be the second derivative of -2/3*d**2 - a*d**3 - 22*d + 0 - 1/30*d**5 - 2/9*d**4. Factor k(f).
-2*(f + 1)**2*(f + 2)/3
Let l(w) = -92*w - 7. Let t be l(-1). Factor 860*m + 60 - 516*m**2 + 60 + 2126*m**2 + t*m**3 + 160*m**3.
5*(m + 6)*(7*m + 2)**2
Let s be (-1)/(-7)*4 + 11514/(-133). Let d = s - -89. Factor -63*v**2 - 2 - 15*v + v - 8*v - 7*v**2 - 50*v**d.
-2*(v + 1)*(5*v + 1)**2
Let j(w) be the first derivative of w**8/112 + w**7/35 - w**5/10 - w**4/8 + 24*w**2 - 2*w + 33. Let l(b) be the second derivative of j(b). Solve l(d) = 0.
-1, 0, 1
Suppose 0 = 5*i, 2*i = -3*r + 5*r - 8. Factor 150*w**3 - 70*w + 45*w**4 + 7*w**4 + 15 - 7*w**r + 20*w**2.
5*(w + 1)*(w + 3)*(3*w - 1)**2
Determine c, given that -71 + 1/2*c**2 - 69/2*c = 0.
-2, 71
Let j = -107/3 - -4405/123. Let c = j + 4/533. Factor -c*l**2 + 4/13 - 2/13*l.
-2*(l - 1)*(l + 2)/13
Let b(t) be the third derivative of 102*t - 55/18*t**3 + 1/36*t**5 + 0 - 25/36*t**4 - t**2. Determine q, given that b(q) = 0.
-1, 11
Suppose 7*y + 9*y - 80 = 0. Factor 65*k - 37 + 8*k**2 + 79 - y*k**2.
(k + 21)*(3*k + 2)
Let b(s) = -2*s**2 + 12*s + 9. Let o(t) = -9*t**2 + 53*t + 39. Let y(m) = -26*b(m) + 6*o(m). Let y(z) = 0. What is z?
0, 3
Solve 0 + 364/11*w + 2/11*w**2 = 0.
-182, 0
Suppose 0 = 82*c - 77*c + 4345. Let a = c + 7829/9. Find s such that 0*s**2 - 2/3*s**3 + 0 + a*s + 2/9*s**4 = 0.
-1, 0, 2
Let o(r) be the third derivative of r**6/1260 - r**5/70 + 2*r**4/21 - 28*r**3/3 + 95*r**2. Let b(u) be the first derivative of o(u). What is f in b(f) = 0?
2, 4
Let -3/2*s**5 + 216*s + 84*s**2 + 24*s**4 - 213/2*s**3 + 0 = 0. Calculate s.
-1, 0, 4, 9
Let u(x) = -6*x + 28. Let j be u(-4). Suppose 56*k - j*k - 12 = 0. What is d in -3*d**2 - 2*d + d**2 + 2 + 5*d**3 - 6*d**3 + k*d**3 = 0?
-1, 1
Let -51 + 1/2*u**2 - 11/2*u = 0. What is u?
-6, 17
Suppose 3*m = -9*u + 10*u + 15, -2*u - 5*m = -25. Let s(n) be the second derivative of 0 + 7*n + 1/160*n**5 + u*n**2 + 1/48*n**4 + 1/48*n**3. Factor s(d).
d*(d + 1)**2/8
Let h(y) = -y**2 + 14*y - 39. Let x be h(5). Suppose -8*u + 4 = -x*u. Determine a, given that 4/3*a + 2/3*a**u - 2 = 0.
-3, 1
Let t(n) be the third derivative of -1/720*n**6 + 50*n**2 + 0 + 19/144*n**4 + 0*n - 1/45*n**5 - 5/18*n**3. Factor t(b).
-(b - 1)**2*(b + 10)/6
Let i(g) be the second derivative of -g**4/144 - 14*g**3/9 + 113*g**2/24 + 71*g - 6. Factor i(p).
-(p - 1)*(p + 113)/12
Let m = 182 - 192. Let z be (14/35*-2)/(2/m). Find c, given that 10/13*c**3 - 6/13*c**2 + 2/13 - 4/13*c**z - 2/13*c = 0.
-1/2, 1
Let g(n) = n**3 - 40*n**2 + 321*n - 19. Let b be g(11). Let o(a) be the second derivative of -1/84*a**4 - 2/21*a**b + 0 - 2/7*a**2 - 31*a. Factor o(f).
-(f + 2)**2/7
Let r(p) be the third derivative of 0*p + 1/2*p**3 + 2 + 74*p**2 - 1/12*p**4 - 1/60*p**5. Suppose r(m) = 0. Calculate m.
-3, 1
Let v(f) be the first derivative of f**2/2 - f - 69. Let d be v(4). Factor -1/2*p**4 - 3/2*p + 1 + 3/2*p**d - 1/2*p**2.
-(p - 2)*(p - 1)**2*(p + 1)/2
Suppose 5*b - 5*j = 45, 0 = 5*j + 19 + 6. Suppose b*u = -6 + 14. Suppose -21*i**2 + 11*i**3 + 6*i + 5*i**u - 34*i**3 + 17*i**3 = 0. Calculate i.
-3, 0, 1/3
Suppose -8/9*i**5 + 20/3*i**3 + 130/9*i**2 - 50/9*i**4 + 28/9*i + 0 = 0. Calculate i.
-7, -1, -1/4, 0, 2
Let j = 297 + -1477/5. Let d be (5 - (5 - 5)) + (-138)/30. Factor -2*p + j + d*p**2.
2*(p - 4)*(p - 1)/5
Let z(r) be the third derivative of -r**5/42 - 31*r**4/14 - 72*r**3/7 - 2*r**2 + 3*r - 698. Factor z(t).
-2*(t + 36)*(5*t + 6)/7
Let m(g) be the first derivative of 1/3*g**5 - 5/2*g**2 + 5/9*g**3 + 66 - 10/3*g + 5/4*g**4. Solve m(k) = 0 for k.
-2, -1, 1
Let b(x) be the first derivative of 1/10*x**5 + 9/4*x**2 + 239 - 1/6*x**3 + 0*x - 9/8*x**4. Determine u, given that b(u) = 0.
-1, 0, 1, 9
Let y be (5497/207 - 26) + 5/(-9). Suppose 4/5*u + 8/5*u**2 + y + u**3 + 1/5*u**4 = 0. What is u?
-2, -1, 0
Let r be 2 + (2 - (0 - 1)). Suppose -4 + r = z. Factor -28*c + 12*c - 3 + c**2 + z + 15*c.
(c - 2)*(c + 1)
Let h(t) = -14*t + 180. Let a be h(12). Suppose 18*l**3 - a*l**5 + 0*l + 12*l**2 + 18*l**3 + 4*l**4 - 8*l = 0. Calculate l.
-1, 0, 1/3, 2
Let x(a) be the first derivative of -a**4/2 + 56*a**3/15 - 13*a**2/5 - 4*a - 4133. Suppose x(n) = 0. Calculate n.
-2/5, 1, 5
Let u(j) be the first derivative of 14*j**3/33 - 1783*j**2/11 - 1020*j/11 - 1296. Factor u(n).
2*(n - 255)*(7*n + 2)/11
Let h(v) = v**3 + 5*v**2 + 4. Let x(c) = -8*c**3 - 84*c**2 - 252*c - 16. Let o(f) = -4*h(f) - x(f). Factor o(p).
4*p*(p + 7)*(p + 9)
Let g(q) be the first derivative of 10*q**3/9 - 12*q**2 - 64*q/3 + 1660. Factor g(b).
2*(b - 8)*(5*b + 4)/3
Let q(c) be the first derivative of -9/2*c**4 + 0*c + 12/5*c**5 + 8/3*c**3 + 0*c**2 - 1/3*c**6 + 228. Factor q(k).
-2*k**2*(k - 4)*(k - 1)**2
Let v be 1668/195 - (-18)/(-117). Let g = v - 284/35. Let 6/7*m**3 - 20/7*m**2 + g*m + 12/7 = 0. Calculate m.
-2/3, 1, 3
Suppose 54*l = 85 - 62 + 193. Let z(o) = o**2 - 4*o + 2. Let b be z(4). Factor -6*s**2 + l*s**2 + 6*s**b + 5 - 9*s**2.
-5*(s - 1)*(s + 1)
Let k(l) = 37*l**2 + 13*l - 32. Let p be k(4). Let o = p + -612. Factor o - 2/5*n + 2/5*n**4 + 6/5*n**2 - 6/5*n**3.
2*n*(n - 1)**3/5
Let y be (-2)/17 - 2570/(-170). Find h, given that 12*h + 31*h**3 - y*h**3 - 3*h**4 - 25*h**3 = 0.
-2, 0, 1
Let i be -4 + (-19)/(95/(-30)). Factor 51*w**2 - 1158*w - 206*w**i + 1058*w - 55*w**3.
-5*w*(w + 1)*(11*w + 20)
Let o(m) be the third derivative of m**8/1008 - m**7/105 - 7*m**6/360 + m**5/3 + 40*m**2 + 8*m. Suppose o(x) = 0. What is x?
-3, 0, 4, 5
Let y(p) be the first derivative of -36*p**5/25 + 57*p**4/5 - 517*p**3/15 + 247*p**2/5 - 169*p/5 + 3433. Factor y(a).
-(a - 1)**2*(6*a - 13)**2/5
Let v(f) be the first derivative of -f**4/38 - 2*f**3/57 + 5*f**2/19 - 6*f/19 - 53. Factor v(l).
-2*(l - 1)**2*(l + 3)/19
Let l(y) = -38*y**4 + 491*y**3 - 467*y**2 - 504*y + 466. Let z(i) = 6*i**4 - 82*i**3 + 78*i**2 + 84*i - 78. Let x(g) = 2*l(g) + 13*z(g). Factor x(v).
2*(v - 41)*(v - 1)**2*(v + 1)
Let l(d) = 9*d**3 + 3939*d**2 + 32*d - 4. Let h(x) = 190*x**3 + 82720*x**2 + 680*x - 85. Let s(v) = 4*h(v) - 85*l(v). Suppose s(r) = 0. What is r?
-787, 0
Let -1/7*r**2 + 67/7*r + 138/7 = 0. What is r?
-2, 69
Suppose -5*a = 5*h + 5035, -11*a - 2*h + 3036 = -14*a. Let k = -1008 - a. Factor -3/7 - 4/7*f**k + 13/7*f.
-(f - 3)*(4*f - 1)/7
Let r = -218/211 + -9427/14770. Let y = r + 29/14. Factor -y*z**3 + 0 + 6/5*z - 4/5*z**2.
-2*z*(z - 1)*(z + 3)/5
Let n(z) be the second derivative of -3*z + 3/20*z**5 - 7/6*z**3 - z**2 - 19 - 1/6*z**4. Factor n(u).
(u - 2)*(u + 1)*(3*u + 1)
Let x = 685412/3795 + -7/759. Let d = x + -179. Let -8/5*t + d + 2/5*t**2 = 0. What is t?
2
Let v be ((-170)/595)/(((-3)/(-6))/(-1)). Let w(y) be the first derivative of v*y**2 + 2/7*y**3 - 27 - 2/7*y**4 - 6/7*y. Determine x so that w(x) = 0.
-1, 3/4, 1
Let b(i) be the second derivative of -2*i**3 - 5 + 5/4*i**4 + 2*i + 0*i**2 - 3/20*i**5. Factor b(c).
-3*c*(c - 4)*(c - 1)
Let c be ((-40)/270*36)/(-2). Factor 2/3*d**3 - 8/3*d - c + 2/3*d**2.
2*(d - 2)*(d + 1)*(d + 2)/3
Let j(s) = 4*s**2 - 26*s - 9. Let y be j(7). Find o, given that -45*o**5 + 8*o**4 + 44*o**y - 10*o**4 - 6*o**3 + 7*o**4 = 0.
0, 2, 3
Let l(i) be th