- 2*k**r.
-3*k*(k - 1)**2
Suppose -4*u = 5*b - 85, 3*b + 2*u = 4*u + 29. Factor -16*y**3 - 21 + 8*y**2 + 4*y + 12*y**3 + b.
-4*(y - 2)*(y - 1)*(y + 1)
Find a such that -150/19*a**3 - 4/19*a**4 - 466/19*a**2 + 272/19 + 348/19*a = 0.
-34, -4, -1/2, 1
Let p be -7 - ((-5083)/(-26))/(-23). Let a(s) be the first derivative of 4*s - 1/3*s**3 - 9 - p*s**2. Solve a(l) = 0.
-4, 1
What is x in 52/5*x**2 - 128/5*x + 64/5 - 6/5*x**3 = 0?
2/3, 4
Let w be (27/30)/((-427506)/(-2969365)). Let x = -2/1657 + w. Solve -x*l**3 + 5/4*l**4 + 0 + 0*l + 5*l**2 = 0 for l.
0, 1, 4
Factor -4/5*r**3 - 188/5*r**2 - 1368/5*r + 0.
-4*r*(r + 9)*(r + 38)/5
Suppose -135*i = -54 + 2 - 353. Let 2*g - 3/2*g**2 + 2 + 1/2*g**4 - g**i = 0. What is g?
-1, 2
Let s = 8898 + -8896. Let i(j) be the second derivative of 12*j - 1/6*j**4 - 20/3*j**3 - 100*j**s + 0. Find r, given that i(r) = 0.
-10
Let h(o) be the first derivative of -o**6/10 + 3*o**5/5 - o**4 - 6*o - 20. Let u(y) be the first derivative of h(y). Factor u(k).
-3*k**2*(k - 2)**2
Let i = -76683 + 383417/5. Suppose -46/15*f**2 + 38/15*f**3 + i + 2/3*f - 8/15*f**4 = 0. What is f?
-1/4, 1, 3
Let c(s) = 3*s**2 + 14438*s + 17136314. Let f(h) = 4*h**2 + 19253*h + 22848419. Let m(i) = 19*c(i) - 14*f(i). Factor m(d).
(d + 2390)**2
Let k(r) be the first derivative of -7/24*r**6 + 4/3*r**3 + 1/2*r**2 - 4/5*r**5 + 0*r - 57 + 3/16*r**4. Let k(f) = 0. Calculate f.
-2, -1, -2/7, 0, 1
Let c(r) be the first derivative of 9/2*r**4 - 36*r - 58/3*r**3 - 2/5*r**5 + 39*r**2 - 75. Factor c(t).
-2*(t - 3)**2*(t - 2)*(t - 1)
Let h be (125/(-90))/((16/(-3))/16*4). Let y(p) be the second derivative of 38*p + 25/24*p**5 + h*p**4 - 5/4*p**3 + 5/12*p**2 + 0. Solve y(o) = 0 for o.
-1, 1/5
Let m(d) = -d**2 - 13*d + 34. Let a be m(-15). Suppose -4*f + 2*l = -6, 2*f + 5*l = a*f + 9. Find c, given that -3*c**3 - 3*c**2 + 7*c**3 - c**f = 0.
0, 1
Let v(m) be the second derivative of 10/7*m**2 + 1/21*m**7 - 20/21*m**4 - 17/35*m**5 - 7*m + 2/7*m**6 - 2 + 9/7*m**3. Suppose v(y) = 0. Calculate y.
-5, -1, -2/7, 1
Suppose 58*m - 62*m = -48. Factor -3*p + 3*p - 599*p**3 - m*p**2 + 627*p**3.
4*p**2*(7*p - 3)
Let s(c) be the first derivative of -23/40*c**5 + 0*c**3 + 0*c**2 + 7/16*c**6 + 0*c + 7 + 1/16*c**4. Determine u so that s(u) = 0.
0, 2/21, 1
Suppose 0 = -227*j + 224*j - 78. Let i be j/117 - ((-8)/(-18))/(-2). Find n, given that -5*n**4 + 25*n**3 + i*n + 15*n - 49*n**2 + 14*n**2 = 0.
0, 1, 3
Suppose 11*y - 5 = 10*y. Suppose -8*i + 6*i = -y*s + 25, -4*s - 3 = 3*i. Factor 3/7*c - 3/7*c**4 - 3/7*c**s + 3/7*c**2 + 0.
-3*c*(c - 1)*(c + 1)**2/7
Let f(p) be the second derivative of 4/5*p**5 - 2/15*p**6 - 2 - 8/3*p**3 + 0*p**2 + 1/3*p**4 + 9*p. Factor f(s).
-4*s*(s - 4)*(s - 1)*(s + 1)
Let w(v) be the third derivative of v**5/12 - 205*v**4/8 + 305*v**3/3 - 2269*v**2 - v. Suppose w(g) = 0. Calculate g.
1, 122
Suppose -29*u + 228 + 207 = 0. Let h be 1232/96*u/70. Suppose h*c**2 - 1/2*c + 0 + 9/4*c**4 - 9/2*c**3 = 0. What is c?
0, 1/3, 2/3, 1
Let 66*f**2 + 24*f**3 - 319*f**4 + 651*f**4 + 28*f - 327*f**4 - 24 + 10*f**3 - f**3 = 0. Calculate f.
-3, -2, 2/5
Factor -g**2 - g**2 + 169*g**3 + 10*g**2 - 42*g - 167*g**3.
2*g*(g - 3)*(g + 7)
Factor 64815/4*a**3 + 66603/2*a**2 + 0*a + 3/4*a**5 + 0 - 222*a**4.
3*a**2*(a - 149)**2*(a + 2)/4
Let a(r) = 35 + 42 + 38 - r - 114. Let g be a(-2). Factor 0*b + 0*b**2 + 0 - 4/7*b**g.
-4*b**3/7
Let r(i) be the third derivative of -3/2*i**3 + 0*i - 6 + 7/8*i**4 + 1/40*i**6 - 2*i**2 - 1/4*i**5. Factor r(t).
3*(t - 3)*(t - 1)**2
Let q(k) be the first derivative of -4*k**5/35 - 83*k**4/7 + 712*k**3/7 - 374. Factor q(p).
-4*p**2*(p - 6)*(p + 89)/7
Let w(n) be the second derivative of n**5/120 + n**4/12 - 4*n**3/9 + 2710*n. Let w(y) = 0. What is y?
-8, 0, 2
Let s(b) be the second derivative of 2*b**7/21 - 2*b**6 - 33*b**5/5 - 17*b**4/3 + 1064*b - 2. Let s(n) = 0. What is n?
-1, 0, 17
Factor -3156*w - 91875/2*w**3 - 277725/2*w**2 - 18.
-3*(w + 3)*(175*w + 2)**2/2
Let s(j) be the second derivative of 1 + 0*j**2 - 1/5*j**5 + 1/30*j**6 + 7*j + 5/12*j**4 - 1/3*j**3. Solve s(i) = 0.
0, 1, 2
Let s(y) = -5*y + 56. Let c be s(10). Let -705*b**2 - 130*b**3 + 1820*b + b**4 - 398 - 582 - c*b**4 = 0. Calculate b.
-14, 1
Let s = -282904 - -2546240/9. Factor -s*t - 14/9*t**3 + 8/3 + 74/9*t**2.
-2*(t - 3)*(t - 2)*(7*t - 2)/9
Let w be 52824/992 + (-52 - 1). Factor 105/4*p**2 + 42875/4 - w*p**3 - 3675/4*p.
-(p - 35)**3/4
Suppose 17*g + 63 = 10*g. Let b be (63/28)/g - (-23)/12. What is y in b*y**3 - 5/6 - 25/6*y**2 + 10/3*y = 0?
1/2, 1
Suppose 150 = 169*w - 166*w. Suppose 24*t = 29*t - w. Factor 30 - 4 - 2*h**2 - 48*h - 6*h**2 + 16*h**3 + 4*h**4 + t.
4*(h - 1)**2*(h + 3)**2
Let l(b) be the second derivative of -b**4/15 - 2092*b**3/15 - 10718*b. Solve l(r) = 0 for r.
-1046, 0
Let o be ((-63)/(-10) - 0)/(136291/1095 - 124). Determine z, given that -98 + o*z**2 - 1/2*z**3 - 84*z = 0.
-1, 14
Let g(r) be the third derivative of 5/16*r**4 + 201*r**2 + 0*r + 3/40*r**5 + 7/12*r**3 + 0 + 1/240*r**6. Find u such that g(u) = 0.
-7, -1
Let a(k) be the third derivative of -k**5/120 - 25*k**4/48 - 11*k**3/2 - 25*k**2 + 1. Factor a(v).
-(v + 3)*(v + 22)/2
Let h(d) be the first derivative of 0*d + 10*d**4 + 64/3*d**3 + 4/5*d**5 - 155 + 0*d**2. Factor h(p).
4*p**2*(p + 2)*(p + 8)
Let u = 52/2287 - -4314/11435. Factor u*a**2 + 28/5 - 6*a.
2*(a - 14)*(a - 1)/5
Let c(o) = -5*o**2 - 171*o - 613. Let m(w) = 14*w**2 + 510*w + 1840. Let t(f) = -8*c(f) - 3*m(f). Factor t(d).
-2*(d + 4)*(d + 77)
Let l(m) be the second derivative of 8*m - m**3 + 0*m**2 + 1/60*m**5 - 7/36*m**4 + 0. Solve l(r) = 0.
-2, 0, 9
Let h(r) = -58*r + 14 - 65*r**2 + 26 - 87*r. Let x be ((-1)/3)/(5/150). Let s(y) = 22*y**2 + 48*y - 13. Let q(d) = x*s(d) - 3*h(d). Let q(o) = 0. What is o?
-2, 1/5
Let j(c) be the first derivative of -c**4/18 + 44*c**3/27 - 37*c**2/3 + 20*c + 1188. Find n such that j(n) = 0.
1, 6, 15
Let y(d) = 5*d**2 - 122*d + 657. Let o be y(7). Determine f so that -855/2*f**2 - 3/2*f**4 + o*f**3 + 675*f + 0 = 0.
0, 2, 15
Determine j so that 0 + 100*j + 40*j**2 + 56/5*j**4 - 48*j**3 - 4/5*j**5 = 0.
-1, 0, 5
Let i(o) be the third derivative of 255*o**2 - 5/3*o**3 + 0*o + 1/120*o**6 - 1/30*o**5 + 0 - 13/24*o**4. Factor i(j).
(j - 5)*(j + 1)*(j + 2)
Factor -51*v**3 - 600*v - 14985*v - 65522 - 17900*v + 50*v**3 - 258*v**2 - 106*v**2.
-(v + 2)*(v + 181)**2
Let p(m) be the third derivative of -1/5*m**4 + 6*m**2 + 0*m**3 + 1/300*m**6 + 0*m + 1/150*m**5 - 5. Factor p(s).
2*s*(s - 3)*(s + 4)/5
Let g(p) be the third derivative of p**7/42 - p**6/24 - 7*p**5/12 + 5*p**4/24 + 5*p**3 + 2*p**2 - 88. Suppose g(i) = 0. What is i?
-2, -1, 1, 3
Let q(b) = 3*b**3 - b**2 - 3*b + 1. Let m be q(2). Factor 10*z**2 + 58 - m*z**2 - 95*z + 42.
-5*(z - 1)*(z + 20)
Let v(n) = -n**3 - 14*n**2 + n + 17. Let b be v(-14). Let l = b - -2. Factor -3*i**2 - i**2 - 52*i**l - 12*i**4 + 48*i**5 + 0*i**2 - 12*i**3.
-4*i**2*(i + 1)**3
Let d = -3157/3 - -15797/15. Let q = 1738/5 - 346. What is a in -8/5 + q*a**2 + 4/5*a**3 - d*a = 0?
-2, -1, 1
Let a(q) be the second derivative of 1/28*q**4 + 0 - 82/7*q**3 - 159*q + 10086/7*q**2. Suppose a(z) = 0. What is z?
82
Let p(d) be the third derivative of -d**6/30 + 17*d**5/5 - 8*d**4 - 200*d**3/3 + 6237*d**2. Suppose p(a) = 0. Calculate a.
-1, 2, 50
Let f be -1 + (-2230)/(-1656) - (-12)/(-27). Let i = f - -1167/644. Factor -i*d + 10/7 + 2/7*d**2.
2*(d - 5)*(d - 1)/7
Let u(t) be the first derivative of t**5/15 - 31*t**4/12 - 70*t**3/9 + 62*t**2/3 + 88*t - 293. Let u(l) = 0. Calculate l.
-2, 2, 33
Suppose -k = 2*l - 5, 15 = -3*l + 5*l + 3*k. Suppose -40*i**3 + 38*i**2 - 16 - 2*i**4 - 3*i**4 + l - 29 + 40*i + 12*i**2 = 0. What is i?
-9, -1, 1
Let b(n) be the first derivative of -n**3 + 39*n**2 - 495*n - 1507. Determine p, given that b(p) = 0.
11, 15
Let i(a) be the second derivative of 1/42*a**7 + 15*a + 4/15*a**6 + 8/3*a**3 + 93/80*a**5 + 0 + 119/48*a**4 + 3/2*a**2. Determine m so that i(m) = 0.
-3, -2, -1/2
Suppose -3*x + 3*o - 84 = 0, -2*o = 5*x + 3*o + 100. Let q be 5*6/x - (-166)/56. Solve q*h**2 - 4/7*h**4 - 16/7 - 8/7*h**3 + 16/7*h = 0 for h.
-2, 1
Let s(y) be the third derivative of y**7/126 - 11*y**6/180 + 11*y**5/60 - 5*y**4/18 + 2*y**3/9 - 24*y**2 - 5*y. Solve s(p) = 0 for p.
2/5, 1, 2
Let l(j) be 