 4*m + 5*p - 3295. Let i = m + -2459/3. Factor 0 - i*q**2 + 2*q.
-q*(q - 6)/3
Let v = 36 - 36. Suppose v = 4*d + b - 4, -5*b = -11 - 9. Factor d - 4/5*w**2 + 6/5*w**4 + 2/5*w**3 + 0*w.
2*w**2*(w + 1)*(3*w - 2)/5
Let i(f) = 6*f**2 - 875*f - 48395. Let h(u) = -2*u**2 - u - 1. Let x(q) = 5*h(q) + i(q). Determine z so that x(z) = 0.
-110
Let b(d) = -d**4 + 21*d**3 - 120*d**2 + 178*d + 2. Let n(o) = -2*o**4 + 41*o**3 - 239*o**2 + 365*o + 5. Let g(a) = -5*b(a) + 2*n(a). Solve g(i) = 0.
0, 2, 5, 16
Let s(k) = -6*k + 43. Let l(v) = 9*v - 45. Let m(c) = -5*l(c) - 6*s(c). Let u be m(-4). What is t in -1/2*t - 1/4*t**u + 0 + 3/4*t**2 = 0?
0, 1, 2
Let a = 409 + -282. Let j = a - 127. Let 36/5*c**2 + j + 27/5*c - 12/5*c**4 - 6/5*c**3 + 3/5*c**5 = 0. Calculate c.
-1, 0, 3
Suppose 69 = 5*p - 17*m + 18*m, p + 2*m - 12 = 0. Let t(x) be the first derivative of 3/2*x + 0*x**2 - 1/2*x**3 - p. Factor t(j).
-3*(j - 1)*(j + 1)/2
Let w = -308 + 310. Factor 4*m**3 - 251*m**5 + w*m + 249*m**5 - 4*m.
-2*m*(m - 1)**2*(m + 1)**2
Let m(h) be the third derivative of 3*h**5/5 + 25*h**4/6 - 4*h**3 - 899*h**2. Let m(t) = 0. What is t?
-3, 2/9
Let c(m) be the first derivative of 1/2*m**4 + 4*m + 100 + m**3 - 4*m**2 - 1/5*m**5. Factor c(f).
-(f - 2)*(f - 1)**2*(f + 2)
Let b = -219 + 215. Let f(v) = 6*v**4 - 6*v**3 + 9*v**2 - 3*v + 3. Let a(c) = 7*c**4 - 5*c**3 + 10*c**2 - 4*c + 4. Let p(x) = b*f(x) + 3*a(x). Factor p(n).
-3*n**2*(n - 2)*(n - 1)
Let h(g) be the second derivative of -1/7*g**3 - 2 - 3/70*g**5 - 3*g + 37/84*g**4 + 0*g**2. Factor h(c).
-c*(c - 6)*(6*c - 1)/7
Let x(p) be the second derivative of -3*p**5/4 - 212*p**4 - 505*p**3/2 + 507*p**2 + p - 294. Factor x(s).
-3*(s + 1)*(s + 169)*(5*s - 2)
Let y = 681752/3749515 + -2/340865. Factor -14/11 - y*r**2 - 16/11*r.
-2*(r + 1)*(r + 7)/11
Let j(v) = v**2 + 5*v + 3. Let o be j(-5). Suppose 3*l = -2*s + 2 + 6, -1 = -s. Factor 5*g**3 - 27*g**l - 21 - 6*g**o + 2*g**3 + 2*g**3 + 45*g.
3*(g - 7)*(g - 1)**2
Let b(y) = -43*y + 11. Let l be b(5). Let d be ((-1)/(-4))/((-17)/l). Factor -55*x**2 + 51*x**2 + 4 - 2*x**d + 4*x - 2*x**3.
-4*(x - 1)*(x + 1)**2
Suppose 3*k + 81 = -15*n + 18*n, 85 = 5*n + 5*k. Let m be (-18)/(-63) + n/70. Factor -m + 1/5*d**3 - 1/5*d + 3/5*d**2.
(d - 1)*(d + 1)*(d + 3)/5
Suppose -73 = -3*g + 8. Factor 60*p + g*p**2 - 8*p**2 - 17*p**2 + 450.
2*(p + 15)**2
Let s(a) be the first derivative of -1/12*a**5 - 12*a**2 + 0*a - 5/24*a**4 + 27 + 5/3*a**3. Let f(b) be the second derivative of s(b). Factor f(i).
-5*(i - 1)*(i + 2)
Let c(l) be the third derivative of 1/60*l**5 + 0 + 1/960*l**6 + 5/24*l**3 + 0*l - 19/192*l**4 + 8*l**2. Suppose c(u) = 0. What is u?
-10, 1
Let a(r) be the third derivative of r**6/270 + 854*r**5/135 + 1705*r**4/54 + 568*r**3/9 - 2*r**2 - 1153*r - 1. Let a(p) = 0. What is p?
-852, -1
What is r in -2/5*r**5 + 0 + 1286/5*r**3 + 0*r - 644/5*r**2 - 128*r**4 = 0?
-322, 0, 1
Let t(u) be the first derivative of 101 - 47/8*u**2 + 35/4*u - 1/16*u**4 + 13/12*u**3. Factor t(q).
-(q - 7)*(q - 5)*(q - 1)/4
Let k be 8 - 2/(3/3). Let q be (-99)/(-15) - k - 57/195. Determine s so that 0*s**2 + 2/13*s**3 + 0 + q*s**4 + 0*s = 0.
-1/2, 0
Let y(q) be the first derivative of -5*q**6/6 - 232*q**5 - 29335*q**4/2 + 332920*q**3 - 3706605*q**2/2 - 4594. What is m in y(m) = 0?
-123, 0, 7
Let x(p) be the second derivative of -143/10*p**5 - 292/3*p**3 + 5/7*p**7 + 60*p**2 + 0 + 421/6*p**4 - 61/15*p**6 - 190*p. Suppose x(n) = 0. Calculate n.
-3, 2/5, 2/3, 1, 5
Let v = -111772 + 558958/5. Let 32/5*s**3 + 224/5*s - 2/5*s**4 - v - 156/5*s**2 = 0. What is s?
1, 7
Suppose 3*q - 35 = -3*t - 2*q, 14 = 2*t + q. Let s be ((-1)/3)/((-172)/258)*6. Factor -4*g - t*g + 4 - g**2 + 3*g + s*g**2.
2*(g - 2)*(g - 1)
Suppose -2 + 7/3*q**2 - 4/3*q**3 + 5/3*q = 0. Calculate q.
-1, 3/4, 2
Factor -2/11*y**3 + 180/11*y**2 - 38416/11 - 294*y.
-2*(y - 49)**2*(y + 8)/11
Let a(p) be the first derivative of 25/2*p**2 + 5/6*p**6 - 10/3*p**3 + 15*p - 15/2*p**4 - p**5 - 82. Factor a(o).
5*(o - 3)*(o - 1)*(o + 1)**3
Let r be -16*(-1)/5*(-220)/(-88). Suppose 5*f**2 - 5 + f**3 - 8*f**2 - 6*f + 5 + r = 0. Calculate f.
-2, 1, 4
Let r(w) be the first derivative of -4*w**4 + 388*w**3/3 - 688*w**2 + 320*w - 128. Solve r(d) = 0 for d.
1/4, 4, 20
Let q(r) = -r**2 - 23*r. Let l(z) = -6*z**2 + 8*z. Let g(d) = -l(d) + 7*q(d). Suppose g(v) = 0. Calculate v.
-169, 0
Let u(a) = 24*a**2 + 1311*a - 1299. Let q(b) = 11*b**2 + 655*b - 650. Let g(s) = -9*q(s) + 4*u(s). Factor g(j).
-3*(j - 1)*(j + 218)
Let q(c) be the first derivative of 121*c**7/42 - 77*c**6/30 - 2*c**5 - c**4/3 + 119*c - 6. Let o(a) be the first derivative of q(a). Factor o(y).
y**2*(y - 1)*(11*y + 2)**2
Factor 48*p + 146/3 - 2/3*p**2.
-2*(p - 73)*(p + 1)/3
Let x be (-2542)/(-8856) - 2/8. Let j(t) be the second derivative of 0*t**2 + x*t**4 + 8*t + 0 + 1/27*t**3 + 1/90*t**5. Factor j(f).
2*f*(f + 1)**2/9
Let c(s) be the third derivative of -s**7/420 + s**6/15 + 41*s**5/40 + 97*s**4/24 + 22*s**3/3 - 303*s**2. What is y in c(y) = 0?
-4, -1, 22
Find g, given that -92 + g**3 + 38*g**2 - 719*g + 9*g**2 + 763*g = 0.
-46, -2, 1
Let r(d) = d**3 + 8*d**2 + 10*d + 18. Let q be r(-7). Let o(m) = 16*m - 28. Let n(l) = l**2 + 18*l - 28. Let t(x) = q*o(x) + 4*n(x). Let t(b) = 0. What is b?
-7, 1
Suppose -7*w - 14*w - 672 = 0. Let f be w/(-16) - 3/9. Find h such that f + 20/3*h**3 - 5*h + 0*h**2 = 0.
-1, 1/2
Factor 54*o**2 + 50*o + 17*o**3 - 33*o**2 - 15*o**3 + 108 - 45*o**2 - 32*o**2.
2*(o - 27)*(o - 2)*(o + 1)
Let g = -638 + 642. Find u, given that -1600 + 13*u**4 - 22*u**4 - u**4 - u**g + 96*u**3 + 1920*u + 7*u**4 - 736*u**2 = 0.
2, 10
Factor 5008*q**3 - 7200*q**2 - 5302*q**3 + 216*q + 7203 - 3*q**4 + 78*q.
-3*(q - 1)*(q + 1)*(q + 49)**2
Let s be (-14)/(-49) - 10/(-14). Let v(n) = 12*n**2 - 3*n + 1. Let l be v(s). Factor -19*u**2 + 20*u**3 + 28*u**2 + 15*u**4 - l*u - 14*u**2.
5*u*(u + 1)**2*(3*u - 2)
Let s(m) = -10*m**2 - m. Let o(q) = 90*q**2 - 2412*q - 121. Let c(f) = -o(f) - 7*s(f). Factor c(v).
-(v - 121)*(20*v + 1)
Let z(t) be the first derivative of 36*t**5/5 + 77*t**4 + 132*t**3 + 6*t**2 - 112*t + 62. Factor z(k).
4*(k + 1)**2*(k + 7)*(9*k - 4)
What is z in 4*z**5 - 274*z**3 - 131*z**3 - 129*z**4 + 180*z - 18*z**5 - 15*z**4 - 264*z**2 - z**5 = 0?
-5, -3, -2, 0, 2/5
Let u(g) = -g**3 + g**2 - 2*g - 1. Suppose 46 = -5*m + 51. Let w(s) = -2*s**5 - 8*s**4 - 8*s**3 + 10*s**2 + 4*s - 2. Let y(h) = m*w(h) - 2*u(h). Solve y(f) = 0.
-2, -1, 0, 1
Suppose -2*d + c + 4 + 3 = 0, 5 = 2*d + c. Let m be (-1)/(5/(-15)*d). Solve 33*q - 4*q**2 - 21*q - m - 7 = 0 for q.
1, 2
Let t(d) be the first derivative of -1/21*d**3 - 43 + 1/7*d**4 - 2/7*d**2 + 1/35*d**5 + 0*d. Factor t(o).
o*(o - 1)*(o + 1)*(o + 4)/7
Suppose -300 + 55*k - 6*k**2 - 28*k**2 + 57*k**2 - 22*k**2 = 0. What is k?
-60, 5
Let k(a) be the second derivative of -a**6/10 - 3*a**5/4 + 11*a**4/2 + 28*a**3 + a - 17. Suppose k(x) = 0. Calculate x.
-7, -2, 0, 4
Let s be 6/(-9) - (-1)/((-1)/((-175)/150)). Let -25/2 + s*k**2 + 0*k = 0. What is k?
-5, 5
Let d(f) be the third derivative of f**6/300 - 6*f**5/25 + 11*f**4/20 + 14*f**3/3 + 12*f**2 + 71. Factor d(v).
2*(v - 35)*(v - 2)*(v + 1)/5
Let z(i) be the first derivative of 36*i**5/5 + 861*i**4 - 1172*i**3/3 - 962*i**2 - 384*i + 2766. Solve z(b) = 0 for b.
-96, -1/3, 1
Let l(d) = -d**2 - 17*d - 28. Let r be l(-9). Let -40*q**3 + 36*q**3 - 80*q**2 + r*q**2 = 0. Calculate q.
-9, 0
Let x(w) be the first derivative of w**6/10 + 3*w**5/10 - 11*w**4/4 - 6*w**3 - 308*w + 282. Let n(a) be the first derivative of x(a). Factor n(v).
3*v*(v - 3)*(v + 1)*(v + 4)
Let m(n) be the third derivative of 0*n + 19*n**3 + 287*n**2 - 21/8*n**4 + 0 + 1/20*n**5. Factor m(j).
3*(j - 19)*(j - 2)
Suppose 463630911 + 50254*f**4 - 50246*f**4 + 4845862285 - 26380*f**3 - 10633480004*f + 29000412*f**2 = 0. What is f?
1/2, 1099
Let 225*l - 49*l**3 - 740*l + 176 + 160*l**2 + 174 + 54*l**3 = 0. Calculate l.
-35, 1, 2
Let w(r) be the second derivative of -2*r**6/45 + 5*r**5/3 + 6*r**4 + 1695*r. Suppose w(n) = 0. What is n?
-2, 0, 27
Let y be (-118)/(-16) - (-7)/(-4). Let z(i) be the second derivative of 1/4*i**6 + 28*i - y*i**4 + 0*i**3 + 1/28*i**7 + 0 + 81*i**2 - 3/8*i**5. Factor z(t).
3*(t - 2)**2*(t + 3)**3/2
Suppose 2/13*z**2 + 1219922/13 + 3124/13*z =