 be u(-1). Let f = -2338/5 + n. Suppose -2/5*z**5 - 4/5*z**2 + 4/5*z**4 + f*z + 0*z**3 + 0 = 0. What is z?
-1, 0, 1
Let m(x) be the first derivative of -x**4/20 - 224*x**3/15 - 6272*x**2/5 - 8130. Factor m(t).
-t*(t + 112)**2/5
Let t(s) be the second derivative of -61*s + 1/6*s**4 + 0 + 0*s**2 - 1/20*s**5 + 1/2*s**3. Factor t(k).
-k*(k - 3)*(k + 1)
Let z(d) = -25222*d + 50444. Let p be z(2). Factor 2/9*o**3 - 10/9*o**2 + p + 8/9*o.
2*o*(o - 4)*(o - 1)/9
Let q(i) be the second derivative of -21*i**5/20 + 381*i**4 - 82731*i**3/2 - 35643*i**2 + 1448*i. Factor q(s).
-3*(s - 109)**2*(7*s + 2)
Let t = -90 - -93. Let -3850*i**3 - 6*i**4 - 2*i**5 + 4*i + 6*i**2 + 1926*i**t + 1922*i**3 = 0. What is i?
-2, -1, 0, 1
Let c(r) = 49*r - 58. Let k be c(1). Let s be (21/(-14))/(k/27). Let 5/2*a - 8*a**4 - 1 - s*a**5 + 9*a**2 + 2*a**3 = 0. What is a?
-1, 2/9, 1
Let c(m) = -4*m - 4. Let a(j) be the second derivative of -1/6*j**3 + 1/12*j**4 + 1/2*j**2 + 10*j + 0. Let z(q) = -4*a(q) - c(q). Factor z(v).
-4*v*(v - 2)
Let s(w) = -9*w**3 + 1409*w**2 - 2779*w + 1391. Let a(k) = 8*k**3 - 1408*k**2 + 2783*k - 1392. Let h(j) = -4*a(j) - 3*s(j). Factor h(z).
-5*(z - 279)*(z - 1)**2
Let i(j) be the first derivative of -j**4/4 + 22*j**3/3 - 53*j**2/2 - 76*j + 195. Factor i(n).
-(n - 19)*(n - 4)*(n + 1)
Let x(y) be the second derivative of -1/189*y**7 + 0*y**5 - 7/135*y**6 + 0*y**3 - 11 + y + 0*y**4 + 0*y**2. Suppose x(r) = 0. What is r?
-7, 0
Let d(o) = 11*o**3 + 41*o**2 + 67*o + 43. Let g(v) = -20*v**3 - 80*v**2 - 135*v - 85. Let f(n) = 5*d(n) + 3*g(n). Let f(s) = 0. Calculate s.
-4, -2, -1
Let 84646*n**3 - 20*n + 351*n**2 - 1460 + 14*n**2 - 84641*n**3 = 0. Calculate n.
-73, -2, 2
Let q(g) = -27*g**2 + 1664*g - 149634. Let a(d) = 5*d**2 - 334*d + 29927. Let h(w) = 11*a(w) + 2*q(w). Factor h(t).
(t - 173)**2
Let u be (-2)/104*(-1060)/530. Let y(s) be the second derivative of 1/65*s**5 + 18*s + 1/195*s**6 + 4/13*s**2 - 4/39*s**3 - u*s**4 + 0. What is j in y(j) = 0?
-2, 1
Let x(y) be the first derivative of 2*y**3/39 - 358*y**2/13 - 718*y/13 - 23. Factor x(b).
2*(b - 359)*(b + 1)/13
Let z(n) = -2*n**2 - 103*n - 856. Let f be z(-41). Let d(s) be the second derivative of -4*s + 0*s**2 + 1/33*s**4 + 0 - 3/110*s**f + 0*s**3. Factor d(m).
-2*m**2*(3*m - 2)/11
Suppose -5*y + 3*x = -0*x - 2, 5*y - 10 = 5*x. Let l be (-78)/(-12) + y*3. Determine g so that -1/2*g**2 - l*g**4 + 0*g + g**3 + 0 = 0.
0, 1
Let u be (-660)/(-35) - 165/(-385). Factor 48/7*w**2 - 486/7 - u*w - 3/7*w**3.
-3*(w - 9)**2*(w + 2)/7
Let d(s) be the first derivative of -s**6/9 + 12*s**5/5 - 18*s**4 + 48*s**3 - 1988. Factor d(l).
-2*l**2*(l - 6)**3/3
Let t(d) be the first derivative of 6/5*d**2 + 0*d + 49 - 1/5*d**3. Determine s, given that t(s) = 0.
0, 4
Let z(i) be the third derivative of -i**7/1575 - i**6/36 - 2*i**5/9 - 2*i**2 + 203. Suppose z(f) = 0. What is f?
-20, -5, 0
Let k = 238 - 22. Let c = k + -214. Factor -6/13*r + 2/13*r**c + 4/13.
2*(r - 2)*(r - 1)/13
Let d be -32 + 9 - 611/(-26). Factor -1/6*s**3 + 2/3*s**2 - d*s + 0.
-s*(s - 3)*(s - 1)/6
Determine c, given that 72*c**2 - 340279*c**5 + 340276*c**5 + 12*c**4 - 47*c**3 + 8*c**3 - 42*c**4 = 0.
-8, -3, 0, 1
Let p be 6 + 110/(-15) + (-56)/(-6). Let j be (-3 + -6 + 9)/p. Factor j - 1/8*r**3 + 1/2*r**2 + 5/8*r.
-r*(r - 5)*(r + 1)/8
Let d(h) be the second derivative of 2/15*h**6 + 1/5*h**5 - 2*h**4 + 16*h**2 - 8/3*h**3 - 50*h + 0. Factor d(o).
4*(o - 2)*(o - 1)*(o + 2)**2
Let x = -286 - -270. Let k be x/(-18) - 1*14/63. Solve 1/3*q - k + 1/3*q**2 = 0 for q.
-2, 1
Suppose -5*d + 35 = 3*l, 5*l + 2*d - 71 = -57. Factor 0 + l*k**2 + 3/7*k**3 - 4/7*k - 1/7*k**4.
-k*(k - 2)**2*(k + 1)/7
Let b be (24/(-448))/(297/(-22)). Let q(k) be the second derivative of 0*k**4 + 0*k**2 - 1/240*k**5 + 16*k + 0 + 1/360*k**6 + 0*k**3 + b*k**7. Factor q(f).
f**3*(f + 1)*(2*f - 1)/12
Let f(b) be the first derivative of -b**5 - 5*b**4/2 + 20*b**3 - 35*b**2 + 25*b + 481. Suppose f(k) = 0. What is k?
-5, 1
Let k(d) be the second derivative of -d**7/280 + d**6/16 - 125*d**2 - 74*d. Let h(b) be the first derivative of k(b). What is p in h(p) = 0?
0, 10
Let o(h) = -7*h**4 + h**3 - 24*h**2 - 8*h + 8. Let r(s) = -s**4 - s**2 + s + 1. Let w(d) = -3*o(d) + 24*r(d). Suppose w(m) = 0. Calculate m.
-4, -1, 0, 4
Let q(s) be the second derivative of s**4/3 + 5624*s**3/3 + 3953672*s**2 - 2818*s. Factor q(t).
4*(t + 1406)**2
Let q(s) be the second derivative of s**6/24 + 5*s**5/8 - 115*s**4/48 + 5*s**3/2 - 15*s - 43. Let q(j) = 0. Calculate j.
-12, 0, 1
Let b(k) be the third derivative of 0*k**4 + 0*k**3 - 1/630*k**7 - 32*k + k**2 - 7/180*k**5 + 1/45*k**6 + 0. Determine x so that b(x) = 0.
0, 1, 7
Let r(g) be the second derivative of 174*g + 3/5*g**2 + 0 + 3/10*g**3 + 1/20*g**4. Factor r(f).
3*(f + 1)*(f + 2)/5
Solve 20/17*w + 2/17*w**2 + 0 = 0 for w.
-10, 0
Let a(c) be the second derivative of c**4/12 - 18*c**3 + 8*c + 42. Factor a(s).
s*(s - 108)
Let i = -1140893/6 + 190149. Factor i*f - 1/6 + 1/6*f**2 - 1/6*f**3.
-(f - 1)**2*(f + 1)/6
Let x(p) = -p**2 - 4506*p + 13529. Let w be x(3). Let -w*g - 2/5*g**2 + 0 = 0. Calculate g.
-5, 0
Suppose 0*o + 10 = -3*i + o, 4*o = -5*i + 6. Let r = 6 + i. Factor -4*x**5 + 704*x + 292*x**3 + 41*x**r + 8*x**5 - 97*x**4 - 256 - 688*x**2.
4*(x - 4)**3*(x - 1)**2
Let h be 3/(-24*14/(-224)). Let b(j) be the second derivative of 7*j + 2*j**h + 1/3*j**3 + 0 + 1/48*j**4. Determine s so that b(s) = 0.
-4
Let y(s) be the third derivative of 5*s**8/336 - 23*s**7/42 - 137*s**6/24 - 31*s**5/4 + 105*s**4/2 - 207*s**2 + 2*s. Solve y(u) = 0.
-3, 0, 1, 28
Determine p, given that -819/2*p - 3/2*p**2 + 411 = 0.
-274, 1
Let h(j) = 4*j**4 + 33*j**3 - 392*j**2 + 689*j - 314. Let r(s) = s**4 - s**3 + s**2 + s + 2. Let p(w) = -h(w) + 5*r(w). Factor p(u).
(u - 18)**2*(u - 1)**2
Let y = -115 + 111. Let m be (1 + 0 - 4)/(y + 3). Factor 162/7*r + 81/7 + 3/7*r**4 + 108/7*r**2 + 30/7*r**m.
3*(r + 1)*(r + 3)**3/7
Suppose -4*c = h - 2*h - 53, 0 = 5*c - 5*h - 70. Suppose -c*b = -10*b - 51. Factor 3*j**3 - 20*j**5 - 3*j + b*j**5 + 3*j**3.
-3*j*(j - 1)**2*(j + 1)**2
Factor 92*p**3 + 36*p**4 - 1407*p - 1379*p + 2754*p + 24*p**2.
4*p*(p + 1)*(p + 2)*(9*p - 4)
Let q be (0/3)/((-30)/(4 + -10)). Let m(c) be the second derivative of 1/70*c**6 - 2/7*c**3 + 0 + q*c**2 + 2/7*c**4 - 19*c - 3/28*c**5. Factor m(k).
3*k*(k - 2)**2*(k - 1)/7
Let r(n) be the third derivative of 1/15*n**5 + 0 + 10/3*n**4 - 14*n**3 + 0*n - 66*n**2. Factor r(a).
4*(a - 1)*(a + 21)
Suppose -197/2*i**3 - 37609/4*i**2 - 1/4*i**4 + 59100*i - 90000 = 0. Calculate i.
-200, 3
Let m = 2303 - 4526. Let r = -2220 - m. Factor -4/7 - 1/7*p**r + 0*p + 3/7*p**2.
-(p - 2)**2*(p + 1)/7
What is b in 374/21*b**3 + 152/21*b + 2/3*b**5 + 32/21 - 64/3*b**2 - 124/21*b**4 = 0?
-1/7, 1, 2, 4
Let y = -5728 + 229121/40. Let w(j) be the second derivative of -y*j**5 + 1/8*j**2 - 1/120*j**6 + 0*j**4 - 6*j + 1/12*j**3 + 0. Solve w(a) = 0 for a.
-1, 1
Suppose 1/3*h**3 + 331/3*h + 167/3*h**2 + 55 = 0. Calculate h.
-165, -1
Let h(u) be the second derivative of u**4/24 + 289*u**3/6 + 83521*u**2/4 - 528*u - 2. Factor h(d).
(d + 289)**2/2
Let b be 0*(-1)/4 - (-296)/915. Let h = b - -3/305. Factor 0*s + 2/3*s**2 + 1/3*s**3 - h*s**4 + 0.
-s**2*(s - 2)*(s + 1)/3
Let b(q) = 16*q**2 - q**3 - 3*q**3 - 3 + 5 - 6*q + 2*q**3. Let u(o) = -o**3 + 16*o**2 - 5*o + 2. Let g = 254 - 259. Let v(l) = g*u(l) + 6*b(l). Factor v(t).
-(t - 1)**2*(7*t - 2)
Let l(q) be the second derivative of 0 - 131*q + 1/14*q**5 + 0*q**2 - 1/3*q**4 + 0*q**3 + 1/105*q**6. Factor l(h).
2*h**2*(h - 2)*(h + 7)/7
Let c(y) = -y**3 + 3*y**2 + 21*y - 14. Let n be c(6). Suppose -19*p + n*p + 3*p**2 + 2 + 8 + 2 = 0. What is p?
1, 4
Let a(n) = -n**3 - 3*n**2 + 10*n - 3. Let m be a(-9). Let l = m - 235. Solve -13*h**4 - 5*h**4 - 104*h - 10*h**3 - 86*h**3 - 34 + 10 - l*h**2 = 0.
-3, -1, -2/3
Let h be 40/6 - 3584/3072 - -7. Factor 3/2*i**2 + 2*i**3 - h*i + 3.
(i - 2)*(i + 3)*(4*i - 1)/2
Let o(u) be the second derivative of -u**6/70 - 9*u**5/35 - 39*u**4/28 - 2*u**3 + 248*u - 6. Suppose o(i) = 0. What is i?
-7, -4, -1, 0
Let q(w) be the second derivative of 45*w + 0 + 7*w**2 - 5/8*w**4 + 0*w**3 - 1/80*w**6 - 11/40*w**5. Let c(k) be the first derivative of q(k). Factor c(z).
-3*z*(z + 1)*(z + 10)/2
Let p(s) = -3