. Let r(o) = 3*a(o) - u(o). Suppose r(x) = 0. Calculate x.
-1, 0, 3
Let o be 3324/60 + 4/(-10). Factor -111 + o + 12*a - 2*a**2 + 38.
-2*(a - 3)**2
Let k(m) be the second derivative of m**5/12 - 5*m**3/6 + 4*m**2 + 11*m. Let p(n) be the first derivative of k(n). Suppose p(z) = 0. Calculate z.
-1, 1
Let p be (-20)/8*(5 - 4)*-2. Suppose -i + x - 7 = -p, -10 = -3*i - x. Determine w, given that 3/7*w**i - 6/7 - 3/7*w = 0.
-1, 2
Let a = 366559/108 - 3394. Let f(u) be the third derivative of a*u**4 - 8*u**2 - 1/54*u**5 + 0*u + 1/540*u**6 + 0 - 1/9*u**3. Find c, given that f(c) = 0.
1, 3
Let q(c) be the third derivative of c**6/80 - 17*c**5/40 + 2*c**2 + 998. Suppose q(u) = 0. What is u?
0, 17
Let q(j) = 104*j - 78. Let b be q(-3). Let a be (62/3)/(b/(-135)) - 7. What is u in 0*u**3 - 6/13*u**2 + 4/13*u + 0 + a*u**4 = 0?
-2, 0, 1
Suppose 14*r - 22*r + 96 = 0. What is l in -9*l + 15*l**2 + 1 - r*l**2 + 5 = 0?
1, 2
Let i = 21 - 17. Find b such that -b**2 - 3*b**3 + 3*b**3 - b**5 - 2*b + 7*b**3 - 4*b + b**i = 0.
-2, -1, 0, 1, 3
Let t(o) be the first derivative of -o**3 + 57*o**2/2 - 180*o - 1051. Determine p, given that t(p) = 0.
4, 15
Let f(a) be the third derivative of a**8/6720 - a**6/480 - a**5/240 - 131*a**3/3 + 3*a**2 - 13. Let v(l) be the first derivative of f(l). Factor v(n).
n*(n - 2)*(n + 1)**2/4
Let y = 689786/246345 - 4/49269. Factor 0 - 16/5*j - 2/5*j**4 - y*j**3 - 28/5*j**2.
-2*j*(j + 1)*(j + 2)*(j + 4)/5
Determine g, given that 9/5*g**5 + 81/5*g**2 + 267/5*g**4 - 84/5*g + 423/5*g**3 + 0 = 0.
-28, -1, 0, 1/3
Factor 51*k**3 - 532*k**2 + 110*k - 126 + 295*k**2 + 3*k**4 + 199*k.
3*(k - 2)*(k - 1)**2*(k + 21)
Solve -844/3*q + 13/3*q**3 - 140/3 + 431/3*q**2 = 0.
-35, -2/13, 2
Let u = -196 - -294. Factor -865*q**3 + 829*q**3 + 274 - u + 512*q + 348*q**2.
-4*(q - 11)*(3*q + 2)**2
Let w = -212 - -151. Let r = w - -70. Factor -q + 5*q + r*q**2 + 3*q**3 + 2*q.
3*q*(q + 1)*(q + 2)
Solve 6/11*r**2 - 74/11*r + 48/11 + 2/11*r**4 + 18/11*r**3 = 0.
-8, -3, 1
Find y such that -20/3*y**3 + 4/9*y + 2/9 - 58/9*y**2 = 0.
-1, -1/6, 1/5
Let s(b) be the second derivative of 3*b**5/40 - 21*b**4/8 - 17*b**3/2 + 198*b**2 - 5596*b. Factor s(y).
3*(y - 22)*(y - 3)*(y + 4)/2
Let n be (0 - -1)/(3/12) - 4284/1197. Let h be (4/57)/((-5)/(-30)). Solve -h*f**3 + 32/19*f + 6/19*f**4 - n - 22/19*f**2 = 0 for f.
-2, 1/3, 1, 2
Determine h so that -3303*h**4 + 1143*h**4 + 292*h - 3456*h**5 - 2732*h**2 - 5 - 3 + 8064*h**3 = 0.
-2, 1/24, 1/6, 1
Let u(z) be the first derivative of 80/3*z**3 - 17*z**4 - 118 + 0*z - 8*z**2 + 16/5*z**5. Determine q, given that u(q) = 0.
0, 1/4, 2
Let c(s) = -30*s**4 + 18*s**3 - 87*s**2 - 9*s + 9. Let n(u) = 17*u**4 - 8*u**3 + 43*u**2 + 5*u - 5. Let a(l) = -5*c(l) - 9*n(l). Let a(v) = 0. What is v?
-8, 0, 2
Let a = -488704 + 5375762/11. Factor 1/11*h**4 - a*h + 29/11*h**2 - 12/11*h**3 + 0.
h*(h - 9)*(h - 2)*(h - 1)/11
Determine z so that -667*z + 0 - 1/2*z**2 = 0.
-1334, 0
Let t = -64955 - -64958. Solve 3/4*d**t - 3/4*d**2 - 3/2*d + 0 = 0 for d.
-1, 0, 2
Let z(a) be the third derivative of -a**7/70 + 115*a**6/8 - 1147*a**5/20 + 573*a**4/8 - 8810*a**2. Factor z(l).
-3*l*(l - 573)*(l - 1)**2
Let l(i) = 2*i**3 - 2*i**2 + 7*i - 5. Let p(t) = -5*t + 2. Let o be p(0). Let j be l(o). Factor -2*u**2 + 13*u - 54*u - 6 + 16*u + j*u.
-2*(u + 1)*(u + 3)
Let t = -119 + 115. Let k be 20/(-14) + t/(-16)*8. Factor 3/7*g + 1/7*g**3 + 0 - k*g**2.
g*(g - 3)*(g - 1)/7
Let l(m) be the first derivative of -m**4/10 + 92*m**3/5 - 924*m**2 - 3920*m + 3939. Factor l(n).
-2*(n - 70)**2*(n + 2)/5
Let z(r) = -r**2 - r - 3. Let w be z(3). Let u = w - -130. Factor 5*d - 47 - 58 - 5*d**2 + u.
-5*(d - 2)*(d + 1)
Factor -112 - 1/3*p**3 - 57*p**2 - 506/3*p.
-(p + 1)*(p + 2)*(p + 168)/3
Find w such that -12*w**4 + 2*w**5 + 48*w**3 - 24 + 12*w + 30*w**2 - w**5 - 4*w**5 - 51*w**3 = 0.
-2, 1
Let g(u) be the third derivative of -u**5/15 - 360*u**4 - 777600*u**3 - 84*u**2. Factor g(m).
-4*(m + 1080)**2
Suppose 3 = 4*h + 61*h - 192. Factor 15/2*i**h - 5/6*i + 0 - 25/6*i**4 - 5/2*i**2.
-5*i*(i - 1)**2*(5*i + 1)/6
Suppose -4*w + 6 - 6 = 0. Let d(k) = w*k + 0*k - 1 - 312*k**2 + 311*k**2. Let p(n) = -n**3 + n**2 - 3*n - 1. Let z(g) = 6*d(g) - 3*p(g). Factor z(b).
3*(b - 1)**3
Let r = -332 + 334. Factor -43 + 7 + 9*s + 2*s**r + s + 5*s - s**3.
-(s - 3)**2*(s + 4)
Let z(r) be the first derivative of r**3/15 + 53*r**2/5 + 21*r - 988. Suppose z(c) = 0. What is c?
-105, -1
Let 2/9*j**2 - 2/9*j**4 + 2/3*j**3 + 0 - 2/3*j = 0. Calculate j.
-1, 0, 1, 3
Solve -40892278*j**4 - 428642477 - 1476748148 + 7873500*j**2 + 1897506250*j + 10870*j**3 + 40892283*j**4 = 0 for j.
-725, 1
Factor 10/7*k**2 - 2/7*k**3 - 2/7*k**4 + 0 - 6/7*k.
-2*k*(k - 1)**2*(k + 3)/7
Let v = -159813 - -1118706/7. Factor -v*p**3 - 9/7*p**2 + 3/7 - 6/7*p**4 + 3/7*p.
-3*(p + 1)**3*(2*p - 1)/7
Let v = 57963/968 + -7200/121. Find x, given that 33/8*x + 39/8*x**2 - 33/8*x**3 - 9/2 - v*x**4 = 0.
-12, -1, 1
Let z(d) be the second derivative of 1/12*d**3 + 51*d + 0 + 1/120*d**4 + 3/10*d**2. Factor z(l).
(l + 2)*(l + 3)/10
Suppose 899 - 7*y**3 - 446 - 1538*y**2 - 591361*y - 453 + 6*y**3 = 0. Calculate y.
-769, 0
Let q(v) be the third derivative of 5*v**8/1344 + 13*v**7/84 + 2*v**6 + 6*v**5 - 387*v**2 - 3*v. Factor q(j).
5*j**2*(j + 2)*(j + 12)**2/4
Let n(y) = -7*y - 9. Let m be n(-5). Suppose 5*z - 2*k - m = 0, 3*z + 0*z + 2*k - 6 = 0. Factor 2*t**4 - 2*t**4 - 20*t - 40*t**2 + 2*t**4 - 7*t**z - 25*t**3.
-5*t*(t + 1)*(t + 2)**2
Let f = 507 - 245. Let a = f - 155. Suppose a*j**2 - 17*j**2 + 50*j**3 - 135 - 35*j**4 + 5*j**5 - 2129*j + 1994*j = 0. What is j?
-1, 3
Let f(r) = r**2 - 234*r + 695. Let z be f(3). Let n(g) be the second derivative of 0 - 3/8*g**z + 20*g + 1/12*g**3 + 1/48*g**4. Factor n(l).
(l - 1)*(l + 3)/4
Find t such that 0 + 177/5*t**3 + 33/5*t + 81/5*t**4 + 27*t**2 + 6/5*t**5 = 0.
-11, -1, -1/2, 0
Let w = -15935 + 334639/21. Let f(v) be the third derivative of -1/210*v**5 + 0 - 1/21*v**4 + 0*v - w*v**3 - 16*v**2. Factor f(t).
-2*(t + 2)**2/7
Let d(j) = 18*j**2 + 34*j + 16. Suppose -154 + 77 = 7*t. Let r(l) = 6*l**2 + 11*l + 5. Let c = -3 + 7. Let p(x) = c*d(x) + t*r(x). Factor p(i).
3*(i + 1)*(2*i + 3)
Factor 76/5 + 1/5*k**2 - 23/5*k.
(k - 19)*(k - 4)/5
Let y(v) be the first derivative of v**3/18 - 827*v**2/6 + 683929*v/6 - 1719. Let y(o) = 0. Calculate o.
827
Let q(k) = -494*k**2 - 486*k + 53. Let o(u) = -5. Let i(h) = 9*o(h) + q(h). Solve i(w) = 0 for w.
-1, 4/247
Determine b, given that 283/4*b**3 + 0 + 281/4*b**2 - 1/2*b = 0.
-1, 0, 2/283
Determine a so that 6/5*a**2 + 3792/5 - 1908/5*a = 0.
2, 316
Let f be 7/14*-30 + 15. Let n(b) be the second derivative of 1/10*b**3 + f + 1/100*b**5 + 1/10*b**2 + 1/20*b**4 + 27*b. Let n(s) = 0. Calculate s.
-1
Let h = -122 - -125. Suppose 2*w + h*y = -0*w, 4*w - y - 14 = 0. Determine s, given that 17*s**3 - 2*s**3 - 14*s**w = 0.
0
Let a(b) be the third derivative of -b**6/840 - 29*b**5/420 + 79*b**4/24 - 301*b**3/6 + 2*b**2 - 155. Factor a(p).
-(p - 7)**2*(p + 43)/7
Factor -2/9*j**2 - 70/9 - 8*j.
-2*(j + 1)*(j + 35)/9
Let u = 432437 + -432435. Factor 5/2*v**5 + 5*v**u + 25/2*v**3 + 0 + 0*v + 10*v**4.
5*v**2*(v + 1)**2*(v + 2)/2
Suppose 34*q + 31*q - 62*q = 12, -5*f + 3*q = -238. Find y such that 30*y**2 + 2/5 - 6*y - f*y**3 = 0.
1/5
Let o(s) = s**4 - 12*s**3 + 3*s**2 + 20*s. Let a(c) = -c**4 + c. Let b be (19/(-152))/((-1)/8). Let r(q) = b*o(q) - 2*a(q). Find p such that r(p) = 0.
-1, 0, 2, 3
Suppose 0 = -34*y + 38*y - 56. Determine v, given that -y + 36 + 16 + 35 + 6*v - 17 - 2*v**2 = 0.
-4, 7
Suppose -17*h - 112 = -78. Let x(o) = o**3 + o**2 - o + 1. Let z(t) = -6*t**2 - 20*t + 22. Let c(w) = h*x(w) - z(w). Find v such that c(v) = 0.
-3, 1, 4
Let b(r) be the second derivative of r**5/220 + 37*r**4/11 + 8214*r**3/11 - 16*r + 5. Determine w so that b(w) = 0.
-222, 0
Let s = 4605 + -4593. Let g(v) be the first derivative of -1/14*v**4 - 2/21*v**3 - s + 0*v**2 + 0*v. Factor g(y).
-2*y**2*(y + 1)/7
Suppose -31*a - 758*a**2 - 29 + 756*a**2 + 301*a + 577 = 0. Calculate a.
-2, 137
Suppose -5*v - 37 = -4*t, 9*v = 5*t + 5*v - 44. Solve -12 - 6*d**2 - 18 - t*d + 6*d**2 + 6 + 2*d**3 + 6*d**2 = 0.
-3, -2, 2
Let f = -1/685 - -2467/685. Factor 3/5*b - 1/5*b**3 - 4/5*b**2 + f.
-(b - 2)*(b + 3)**2/5
Let l b