*i**2 + 24*i + 75. Let v(k) = 5*h(k) - 6*s(k). Solve v(l) = 0.
-9
Suppose -42/13 + 2/13*l**2 + 8/13*l = 0. What is l?
-7, 3
Let x(s) = s**3 + s - 3. Let o(m) = -15*m**3 + 220*m**2 - 255*m - 390. Let t(f) = -o(f) - 20*x(f). What is y in t(y) = 0?
-45, -1, 2
Let r(h) = 24*h**2 + 548*h + 524. Let c(x) = -7*x**2 - 182*x - 175. Let p(b) = -20*c(b) - 6*r(b). What is f in p(f) = 0?
-1, 89
Let d = -4238 - -4240. Let o(f) be the first derivative of 0*f**d + 0*f - 16 - 1/3*f**3. Factor o(i).
-i**2
Let m be 0/(-4)*(98/(-147) + (-2)/(-6)). Let j(i) be the third derivative of m*i**3 - 1/200*i**6 + 0 + 0*i + 0*i**5 + 1/10*i**4 - 26*i**2. Factor j(c).
-3*c*(c - 2)*(c + 2)/5
Let f(c) be the third derivative of c**7/105 - 68*c**6/5 + 82823*c**5/15 + 27812*c**4 + 167281*c**3/3 + 5*c**2 + 48*c + 3. Factor f(a).
2*(a - 409)**2*(a + 1)**2
Let k(x) be the second derivative of 4*x**7/189 - 11*x**6/135 - x**5/6 + 25*x**4/54 + 31*x**3/27 + 2*x**2/3 + 898*x. Let k(s) = 0. What is s?
-1, -1/4, 2, 3
Suppose 244*l + 114 = 282*l. Let k(q) be the first derivative of -29 - 4/3*q**4 - 56/9*q**l - 25/6*q**2 - q. Find n such that k(n) = 0.
-3, -1/4
Let h(g) be the second derivative of 64/3*g**3 - 1 + 0*g**2 - 1/3*g**4 + 83*g. Suppose h(k) = 0. What is k?
0, 32
Let x = -605250 + 5449700/9. Factor 560*s + 94/3*s**2 + x + 4/9*s**3.
2*(s + 35)**2*(2*s + 1)/9
Factor -2/21*a**5 + 0 - 8/21*a**2 + 10/21*a**4 - 4/7*a**3 + 16/21*a.
-2*a*(a - 2)**3*(a + 1)/21
Factor -18 + 3/8*v**3 - 21*v - 21/8*v**2.
3*(v - 12)*(v + 1)*(v + 4)/8
Let j(s) be the first derivative of 0*s**3 + 4 + 1/9*s**4 + 0*s**5 - 1/27*s**6 - 1/9*s**2 + 0*s. Factor j(z).
-2*z*(z - 1)**2*(z + 1)**2/9
Suppose 15*a - 104*a = -356. Let m(g) be the first derivative of 43 + 0*g + 2/35*g**5 + 0*g**2 - 1/14*g**a - 4/21*g**3. Let m(w) = 0. What is w?
-1, 0, 2
Find g such that 36*g**2 - 6224 + 2*g**4 + 6224 + 30*g**3 - 216*g + g**4 = 0.
-6, 0, 2
Suppose -5*q = -2646*f + 2648*f - 4, 5*q + 5*f = -5. Determine y, given that -46/13*y + 100/13 - 2/13*y**q = 0.
-25, 2
Let y = 508203/5 + -101640. Let j be -5*(4/(-10) + 0). Factor 3/5*n**3 + 0 - 6/5*n**j + y*n.
3*n*(n - 1)**2/5
Let r(q) be the first derivative of 18/5*q**5 + q**2 + 89 - 6*q**3 - 1/2*q**4 + 0*q. Suppose r(i) = 0. What is i?
-1, 0, 1/9, 1
Let y(m) be the second derivative of -4/33*m**3 + 0*m**2 + 4*m + 1/66*m**4 + 0. What is d in y(d) = 0?
0, 4
Let a(k) = 36*k - 435. Let o(r) = 2*r + 1. Let b(n) = a(n) + 6*o(n). Let s be b(9). Determine z so that 3/4*z**2 + 9/4 - s*z = 0.
1, 3
Let x(l) be the second derivative of -l**4/48 - 43*l**3/2 - 1781*l. Let x(a) = 0. Calculate a.
-516, 0
Let c be (-2 + -8 + 160/15)*6. Let w(i) be the second derivative of 0 + 1/6*i**c + 4*i**2 + 4*i + 4/3*i**3. What is h in w(h) = 0?
-2
Let j be 20/25*-1*5/(-2). Suppose j*r + 7*r - 4*r**3 + 12*r - r - 16*r**2 = 0. Calculate r.
-5, 0, 1
Let r be (-2 + 1/1)*5. Let m be (2/(-12)*(14 + r))/(-5). Factor m + 1/10*u**2 - 2/5*u.
(u - 3)*(u - 1)/10
Let x(t) be the second derivative of t**6/80 + 3*t**5/20 + 23*t**4/32 + 7*t**3/4 + 9*t**2/4 - 13*t - 5. Determine p so that x(p) = 0.
-3, -2, -1
Let x = 705873/282350 - -1/141175. Factor 3*j**3 - x*j**4 - 7/2*j + j**2 + 3/2 + 1/2*j**5.
(j - 3)*(j - 1)**3*(j + 1)/2
Let a = 37687/16 + -37647/16. Find k, given that -6 + 1/4*k**3 + a*k + 13/4*k**2 = 0.
-12, -2, 1
Factor -354*d**2 - 2*d**4 - 8*d + 18*d**3 + 314 + 258 - 100 + 106*d**3.
-2*(d - 59)*(d - 2)**2*(d + 1)
Factor -11/4*s**3 - 9/2*s**2 + 2*s + 0.
-s*(s + 2)*(11*s - 4)/4
Find r such that 121*r**3 - 21/5*r**4 - 2496/5 + 5552/5*r - 3639/5*r**2 - 1/5*r**5 = 0.
-39, 1, 8
Let d be ((-11)/22)/(2036/(-2032) - -1). Factor 15*z - d*z**2 + 255*z**2 - z + z - 16.
(z - 1)*(z + 16)
Let l = -657 - -653. Let o be ((-68)/40 + 3)*4 + l. Find k, given that -o*k + 2/5*k**2 + 2/5*k**4 - 4/5 + 6/5*k**3 = 0.
-2, -1, 1
Suppose 5*s - q - 20 = -2, -10 = -2*s - q. Factor -3*z**5 + 57*z**2 + 10*z**s - 14*z**3 + 4*z**5 - 51*z**2 - 3*z**5.
-2*z**2*(z - 3)*(z - 1)**2
Let y(p) be the third derivative of -p**8/24 + 86*p**7/105 + 389*p**6/60 + 214*p**5/15 + 17*p**4/3 - 64*p**3/3 - 3*p**2 - 67*p + 1. Solve y(f) = 0 for f.
-2, -1, 2/7, 16
Let l = 263 - 261. Factor 10*y - 15*y**l + 2*y**3 - 4*y**3 + 15*y**4 + 6*y**3 - 14*y**3.
5*y*(y - 1)*(y + 1)*(3*y - 2)
Let u(a) be the second derivative of 0 + 0*a**3 - 1/6*a**4 + 28*a + 23/2*a**2 - 1/30*a**5. Let v(f) be the first derivative of u(f). Let v(i) = 0. What is i?
-2, 0
Suppose 0 - 1195/3*u**3 - 140*u**2 - 35*u**4 + 220/3*u = 0. What is u?
-11, -2/3, 0, 2/7
Let t(a) be the first derivative of 52 + 5/9*a**3 - 95/3*a + 15*a**2. Suppose t(x) = 0. Calculate x.
-19, 1
Let f(m) be the third derivative of -m**6/20 - 19*m**5/15 + 37*m**4/4 + 30*m**3 + m**2 + 963*m. Find s, given that f(s) = 0.
-15, -2/3, 3
Suppose 0*n - 18 = -5*n - 2*z, 5*n + 10 = 5*z. Let q(d) be the first derivative of d**4 - 3396*d - 38 - 2*d**n + 3396*d. Factor q(o).
4*o*(o - 1)*(o + 1)
Let o(n) = 7*n - 179. Let s = -1017 + 1043. Let k be o(s). Suppose -1/3*d + 1/3*d**k - 1/3*d**2 + 1/3 = 0. Calculate d.
-1, 1
Let c(o) = -63*o**2 - 70*o**2 + 136*o**2 - 67*o + 1089. Let t(u) = 2*u**2 - u. Let z(g) = -c(g) + t(g). Find w such that z(w) = 0.
33
Factor 30285104848/7 + 14844/7*b**2 + 2/7*b**3 + 36724056/7*b.
2*(b + 2474)**3/7
Let b = -279 + 283. Suppose 4*k = 3*y + 14 + 1, -y - 13 = -b*k. Suppose 5/6*d**4 - 1/3*d**k - 2/3*d - 5/2*d**2 + 2/3 = 0. What is d?
-1, 2/5, 2
Let y(u) be the third derivative of u**6/75 - 212*u**5/15 - 2123*u**4/60 - 177*u**3/5 + 2*u**2 + 379. Factor y(s).
2*(s - 531)*(2*s + 1)**2/5
Let l(v) = -4*v**2 - 114*v - 799. Let o(m) = -3*m**2 - 114*m - 798. Let c(x) = -6*l(x) + 7*o(x). Factor c(u).
3*(u - 44)*(u + 6)
Let h be (-24)/(-28) + 276/21. Factor -25 + 30*o - h + 19 - 30*o**3 + 24*o**2 + 3*o**4 - 7.
3*(o - 9)*(o - 1)**2*(o + 1)
Let g = 394/143 + -372/143. Find m, given that g*m**2 + 6/13 - 8/13*m = 0.
1, 3
Let o = -287414 + 287418. Suppose 0 - 108/5*l**2 + 108/5*l - 4/5*l**o + 36/5*l**3 = 0. What is l?
0, 3
Let i = 127 + -157. Let v be ((-4)/i)/(16/48). Factor 8/5 - 2*s + v*s**2.
2*(s - 4)*(s - 1)/5
Suppose 8*p + 2*w = 10*p + 6, -2*p - 21 = -5*w. Factor 11*o + 2*o**2 + 9*o + 2*o**3 - p - 22*o.
2*(o - 1)*(o + 1)**2
Let -1/7*f**3 + 12/7*f**2 - 29/7*f + 18/7 = 0. Calculate f.
1, 2, 9
Let f(c) be the third derivative of c**6/240 + 127*c**5/120 - c**4/48 - 127*c**3/12 + 5378*c**2. Find b such that f(b) = 0.
-127, -1, 1
Let w(y) be the third derivative of y**3 - 6*y**2 - 2/45*y**5 + 1/360*y**6 - 11/72*y**4 + 0 + 8*y. What is n in w(n) = 0?
-2, 1, 9
Let y = 6866923/476870 + 1/95374. Factor -y - 3/5*u**2 + 42/5*u.
-3*(u - 12)*(u - 2)/5
Factor 336/5*d + 339/5 - 3/5*d**2.
-3*(d - 113)*(d + 1)/5
Let o(d) = -2*d**3 - 71*d**2 - 198*d - 144. Let z(m) = 3*m**3 + 144*m**2 + 397*m + 291. Let h(w) = -7*o(w) - 3*z(w). Factor h(r).
5*(r + 1)*(r + 3)*(r + 9)
Let l(t) = -5*t**2 + 26*t - 13. Let j be l(-6). Let n = -3837/11 - j. What is o in n - 2/11*o**4 + 4/11*o - 4/11*o**3 + 0*o**2 = 0?
-1, 1
Suppose 2*g = -4*x + 48, 6*x - 102 = -4*g + 4*x. Factor -14*d**4 - 45*d**2 + g*d**4 + 21*d**3 - 12*d**5 + 51*d**2.
-3*d**2*(d - 2)*(2*d + 1)**2
Suppose 0 = 4*p - 3*n - 46 - 86, -p + 33 = n. Factor 29*o + 35*o**2 - 5*o**3 - 26*o - p*o.
-5*o*(o - 6)*(o - 1)
Let l(y) be the second derivative of -y**4/42 - 53*y**3/21 + 354*y**2/7 - 677*y. Solve l(n) = 0.
-59, 6
Let g(z) be the third derivative of -98*z**2 + 0 + 1/42*z**7 + 0*z**4 - 3/8*z**6 + 0*z**3 + 0*z**5 + 0*z. Factor g(r).
5*r**3*(r - 9)
Suppose -166*k = -141*k - 400. Let o(g) be the second derivative of k*g - 1/5*g**5 - 8*g**3 + 0 - 2*g**4 - 16*g**2. Factor o(p).
-4*(p + 2)**3
Let h(y) = 52*y + 1513. Let z be h(-29). Let b(u) be the first derivative of u**2 + 10/27*u**3 - 14/45*u**z - 5 - 1/2*u**4 + 4/9*u. What is n in b(n) = 0?
-1, -2/7, 1
Suppose -d + 5*d = o - 221, -4*o + d + 809 = 0. Suppose 0 = -o*g + 198*g. What is v in g*v - 1/8*v**3 + 0*v**2 - 1/8*v**4 + 0 = 0?
-1, 0
Let u be (-30)/4*(-30)/45. Suppose g + 3*b = 5 + 21, u*g - 4*b - 92 = 0. Factor 9*s**2 - g*s + 5*s**3 - 4*s**3 + 12*s - 25 + 23*s.
(s - 1)*(s + 5)**2
Factor -376/5 + 2/5*c**2 - 86/5*c.
2*(c - 47)*(c + 4)/5
Let v(h) = 299*h + 1198. Let l be v(-4). Let -3*w**3 - 9/5*w + 24/5*w**l + 0 = 0. Calculate w.
0, 3/5, 1
Let a(k) be the t