q - 36)*(q - 1)/3
Find p such that -41*p - 1/3*p**2 + 0 = 0.
-123, 0
Factor 82/3*u - 2/3*u**2 + 172/3.
-2*(u - 43)*(u + 2)/3
Let i(w) be the third derivative of -1/12*w**5 + 0 + 3*w - 115/24*w**4 + w**2 - 50*w**3. Factor i(z).
-5*(z + 3)*(z + 20)
Let i(n) be the first derivative of n**5/510 + n**4/51 - 5*n**3/51 + n**2 - 57*n + 256. Let s(l) be the second derivative of i(l). Find f such that s(f) = 0.
-5, 1
Let m(x) = -x**3 - 27*x**2 - 10*x - 12. Let i be m(-27). Let l = 1808/7 - i. Determine q, given that 0 - l*q**2 - 6/7*q**3 + 4/7*q + 2/7*q**4 + 2/7*q**5 = 0.
-2, -1, 0, 1
Suppose 12*d - 234*d - 44*d + 1064 = 0. Let g(j) be the first derivative of 6*j**2 - 8*j + 10 + 68/3*j**3 + 12*j**d. Determine w so that g(w) = 0.
-1, -2/3, 1/4
Let a(q) = 22003*q + 44006. Let g be a(-2). Determine n, given that 0*n + 22*n**4 - 24*n**3 + g - 10/3*n**5 - 40/3*n**2 = 0.
-2/5, 0, 2, 5
Let z be 1/(-7)*2982/(-7100). Let k(q) be the second derivative of 1/5*q**3 + 0*q**2 - 16*q - 1/5*q**4 + 0 + z*q**5. Determine a so that k(a) = 0.
0, 1
Suppose -47*f + 100 = -43*f. Factor -10*a**2 - 9*a**3 + f*a**3 - 5*a - a**3.
5*a*(a - 1)*(3*a + 1)
Let o(t) be the first derivative of -t**6/60 + 8*t**5/25 - 9*t**4/40 - 47*t**3/15 + 13*t**2/5 + 12*t + 6. Find p such that o(p) = 0.
-2, -1, 2, 15
Factor -10819205 + 2994*v + 450*v + 1504*v - 5*v**2 + 9762*v.
-5*(v - 1471)**2
Let g = 71 + -65. Suppose 0 = -4*n - 10 - g. Let o(s) = -2*s**5 - 2*s**4 - 3. Let w(r) = r**5 + r**4 + 1. Let f(q) = n*o(q) - 12*w(q). Factor f(i).
-4*i**4*(i + 1)
Factor -13*j**2 + 1/2*j**5 + 53/2*j**3 + 0 - 14*j**4 + 0*j.
j**2*(j - 26)*(j - 1)**2/2
Let j(o) be the third derivative of -o**7/70 + 3*o**6/5 - 51*o**5/10 + 17*o**4 - 57*o**3/2 + 498*o**2 - o + 2. Factor j(x).
-3*(x - 19)*(x - 3)*(x - 1)**2
Let j(l) be the first derivative of 56 + 0*l - 5/32*l**4 + 0*l**2 + 1/20*l**5 - 1/8*l**3. Let j(o) = 0. Calculate o.
-1/2, 0, 3
Let r(f) = 4*f**2 + 1673*f + 133956. Let z(b) = -2*b**2 - 846*b - 66978. Let p(g) = 6*r(g) + 11*z(g). Suppose p(a) = 0. What is a?
-183
Let u = -62201 + 62203. Find d, given that -3*d**u + 3/7*d**3 + 3 - 3/7*d = 0.
-1, 1, 7
Suppose 13*p - 18*p - n = -84, -60 = -3*p - 3*n. Let s be 1/(-2*(-12)/p). Determine w, given that -s + w**2 + 2/3*w**3 - w = 0.
-2, -1/2, 1
Suppose 3*j - 15*j = -240. Factor -j*g**2 - 4*g**3 - 362 + 6*g**3 - 8*g + 2*g**4 + 410.
2*(g - 2)**2*(g + 2)*(g + 3)
Let g(h) be the first derivative of 25*h**6/2 - 67*h**5 - 45*h**4/4 + 655*h**3/3 + 165*h**2 + 40*h + 7858. Suppose g(n) = 0. What is n?
-1, -1/3, -1/5, 2, 4
Factor 125/9 - 1/9*d**2 + 124/9*d.
-(d - 125)*(d + 1)/9
Let w(q) be the first derivative of -q**6/15 - 18*q**5/25 - 29*q**4/10 - 26*q**3/5 - 18*q**2/5 - 754. Find r, given that w(r) = 0.
-3, -2, -1, 0
Suppose 14253*h = 14270*h - 306. Factor h*g - 6/5*g**2 + 96/5.
-6*(g - 16)*(g + 1)/5
Let d(s) be the first derivative of s**6/36 - 59*s**5/30 - 5*s**4/2 - 2710. Find p such that d(p) = 0.
-1, 0, 60
Let t = 33910497617/51220 + -8606724/13. Let q = t + 1/788. Find f, given that -1/10*f**3 + 1/10 + q*f - 1/10*f**2 = 0.
-1, 1
Let j(f) be the second derivative of 8*f**7/21 + 102*f**6/5 - 118*f**5/5 - 13*f**4 - 335*f - 2. Let j(w) = 0. Calculate w.
-39, -1/4, 0, 1
Let q(u) = -2*u**3 - 6*u**2 + 2*u - 1. Let w(b) = 5*b**3 + 1350*b**2 - 87130*b + 5. Let g(a) = -5*q(a) - w(a). What is i in g(i) = 0?
0, 132
Let a = -15177 - -364333/24. Let z(x) be the second derivative of -5/168*x**7 - 13/8*x**5 - 35/8*x**3 - 25/8*x**2 - a*x**4 + 0 - 4*x - 3/8*x**6. Solve z(d) = 0.
-5, -1
Let x(j) be the third derivative of 15*j**3 + 0 + 0*j - 1/2*j**4 + 1/150*j**5 - 36*j**2. Determine l so that x(l) = 0.
15
Suppose 12*c + 4*v = 2*c + 186, -4*v + 60 = 4*c. Let g(p) be the first derivative of 0*p - 2*p**2 + 2/5*p**5 - c - 2*p**4 + 10/3*p**3. Factor g(m).
2*m*(m - 2)*(m - 1)**2
Determine y, given that 49*y**2 - 4*y**2 - 720*y - 129600 - 12*y**2 - 13*y**2 - 21*y**2 = 0.
-360
Let c = -38876 - -38879. Solve -12/11 - 38/11*j**2 - 58/11*j + 8/11*j**c = 0 for j.
-1, -1/4, 6
Let c(z) be the first derivative of 3*z**4/16 - 17*z**3/4 - 3*z**2/2 + 51*z - 2913. Solve c(n) = 0 for n.
-2, 2, 17
Let m(h) be the third derivative of -h**8/13440 - h**7/1680 + 17*h**5/15 - 6*h**2 - 4*h. Let p(n) be the third derivative of m(n). Factor p(c).
-3*c*(c + 2)/2
Let a = 100870 + -100867. Find t such that -5/3*t**a - 70/3*t + 35/3*t**2 + 40/3 = 0.
1, 2, 4
Factor -2/7*z**4 - 65498/7*z**2 + 270840/7*z - 732/7*z**3 - 273800/7.
-2*(z - 2)**2*(z + 185)**2/7
Let 59/8*o**2 + 27/4*o - 53/8*o**3 + 13/8*o**4 - 9 - 1/8*o**5 = 0. What is o?
-1, 1, 3, 4, 6
Suppose 41*f - 15*f - 910 = 0. Let 3 + f*z**2 - 21803*z + 21833*z - 3 + 5*z**3 = 0. Calculate z.
-6, -1, 0
Factor 81*x + 3*x**2 - 140*x**4 - 12*x**3 - 1 + 55 + 285*x**4 - 9*x**3 - 142*x**4.
3*(x - 6)*(x - 3)*(x + 1)**2
Factor -1/5*a**2 - 60 - 13*a.
-(a + 5)*(a + 60)/5
Let q(h) be the first derivative of h**6/480 + h**5/20 + 3*h**4/8 + 16*h**2 + 2*h - 38. Let i(a) be the second derivative of q(a). Factor i(w).
w*(w + 6)**2/4
Suppose -3*k = 2*b - 7, -5 + 6 = -b + 3*k. Suppose 98*c**b + 4*c**3 - 54*c**2 - 3*c**3 - 52*c**2 = 0. Calculate c.
0, 8
Let q = -2068/5 - -4141/10. Determine t, given that -2/3*t**3 + 5/3 - 3/2*t**2 + q*t = 0.
-2, -5/4, 1
Let g(m) = -1415*m + 11324. Let q be g(8). Determine o, given that 74/3*o**3 + 122/15*o**q + 32/5*o + 86/3*o**2 - 24/5 + 14/15*o**5 = 0.
-3, -2, -1, 2/7
Suppose 0 = -5*o - 4*j + 64, -2*o - 2*o = -j - 68. Let m be o/24 + (-20)/(-6). Find t, given that -92*t**5 + 88*t**5 - 12*t**3 + t**4 + 11*t**m + 4*t**2 = 0.
0, 1
Suppose 3*q + 5*y - 23 = 20, -5*q - 2*y + 40 = 0. Let u be q/(27/90*4). Suppose -8/13*w - 2/13*w**u - 2*w**3 - 12/13*w**4 - 24/13*w**2 + 0 = 0. Calculate w.
-2, -1, 0
Let c(g) be the second derivative of g**7/180 + 4*g**6/45 + 4*g**5/15 + 121*g**4/12 - g + 25. Let d(m) be the third derivative of c(m). Factor d(z).
2*(z + 4)*(7*z + 4)
Let c(d) be the first derivative of -d**5/5 - 15*d**4 - 1318*d**3/3 - 6270*d**2 - 43681*d - 3348. Factor c(g).
-(g + 11)**2*(g + 19)**2
Suppose -24*i - 10 = -29*i. Find t such that -4*t**4 + 3*t**i + 9*t**2 + 34*t - 18*t - 8*t**3 - 5 - 11 = 0.
-2, 1
Let a(n) be the first derivative of -67 - 2*n**4 + 0*n - n**2 - 3/5*n**5 - 7/3*n**3. Factor a(r).
-r*(r + 1)**2*(3*r + 2)
Let r = -50 + 2. Let t be 0 + (-33)/(-12) - r/(-32). Factor 0 + 0*q**3 + 5/4*q - t*q**5 + 5/2*q**2 - 5/2*q**4.
-5*q*(q - 1)*(q + 1)**3/4
Let k = 6701 - 6698. Factor 0 + 0*g + 16/11*g**5 - 18/11*g**4 + 0*g**2 + 2/11*g**k.
2*g**3*(g - 1)*(8*g - 1)/11
Let q = -49 - -395/8. Let p = 1007939 + -1007937. Factor -q*t**p - 15/8*t + 9/4.
-3*(t - 1)*(t + 6)/8
Let i = -1533321/5 + 304489. Let w = -2168 - i. Suppose 32*y - 48/5 + w*y**3 - 156/5*y**2 = 0. What is y?
2/3, 3
Let i(p) be the third derivative of p**5/60 + 665*p**4/12 + 442225*p**3/6 + 4*p**2 - 2*p - 21. Factor i(t).
(t + 665)**2
Determine h so that 5/2*h**3 + 177/2*h + 43 + 48*h**2 = 0.
-86/5, -1
Let r(k) = k**3 - 16*k**2 + k - 9. Let a be r(16). Let j be (2/a)/(((-15)/(-21))/5). Find g, given that 0*g + 69 - 69 + g - g**j = 0.
0, 1
Let w(x) be the first derivative of x**3 - 7*x**2/2 + 2*x + 97. Let m(i) = -i**2 + 3*i. Let k(a) = -2*m(a) - 2*w(a). Suppose k(h) = 0. What is h?
1
Let o be (2 - (-2 - -3))*0. Let c(q) be the second derivative of -4*q - 1/25*q**5 + 0 + o*q**2 - 1/15*q**4 + 0*q**3. Determine y, given that c(y) = 0.
-1, 0
Let p be 64 + -44 + 8 + -26. Determine g so that 9 - 3/5*g**p + 6/5*g = 0.
-3, 5
Suppose -59 = 16*b - 91. Let r(g) be the second derivative of 0*g**b - 15*g + 8/3*g**3 + 8/3*g**4 + g**5 + 0 + 2/15*g**6. Factor r(l).
4*l*(l + 1)*(l + 2)**2
Let y(n) be the second derivative of 0 + 5*n**2 + 0*n**3 + 3/80*n**5 - 9*n - 1/48*n**4. Let s(u) be the first derivative of y(u). Determine w so that s(w) = 0.
0, 2/9
Let r(m) be the second derivative of -m**6/70 - 297*m**5/140 - 97*m**4/28 + 99*m**3/14 + 21*m**2 - 2*m - 2257. Find f, given that r(f) = 0.
-98, -1, 1
Find h, given that 8/3*h + 28/3*h**2 + 2*h**4 - 26/3*h**3 - 16/3 = 0.
-2/3, 1, 2
Let -25*u**3 - 117*u**3 + 11*u**4 + 5*u**4 + 211*u**2 + 14*u**3 - 117*u + 627445 - 627427 = 0. Calculate u.
1/4, 3/4, 1, 6
Factor -2230*d**4 - 286928*d**3 - 2729*d**5 + 2724*d**5 + 38283*d**3.
-5*d**3*(d + 223)**2
Suppose 4*v - 337 