13*g**2 - 12/13*g + r.
2*(g - 5)*(g - 1)/13
Factor -2/15*z**2 + 272/15 - 18*z.
-2*(z - 1)*(z + 136)/15
Let c(p) be the third derivative of -p**6/40 + 9*p**5/20 - 3*p**4 + 10*p**3 + 2155*p**2. Factor c(j).
-3*(j - 5)*(j - 2)**2
What is j in 180*j**3 - 360 + 5/2*j**5 - 120*j + 75/2*j**4 + 260*j**2 = 0?
-6, -2, 1
Let f(m) be the third derivative of -29*m**5/30 + 31*m**4/12 - 2*m**3/3 + 13*m**2 + 3. Factor f(k).
-2*(k - 1)*(29*k - 2)
Suppose 7*k - 2562 = -791. Let m be 6/14 - k/(-161). Factor 16*a**4 - 3*a**4 + 32 - 16*a**m - 8*a**4 - 3*a**4.
2*(a - 2)**2*(a + 2)**2
Suppose 5*p - 4*l - 27890 = 0, -p + 3*l + 5554 = 7*l. Find t such that -p*t + 1273*t**2 - 162*t**3 + 3*t**4 + 523*t**2 + 2028 + 547*t**2 + 1362*t = 0.
1, 26
Let h(r) be the first derivative of 0*r + 2*r**4 + 40 - 2/5*r**5 + 2*r**3 - 18*r**2. Factor h(d).
-2*d*(d - 3)**2*(d + 2)
Let x(g) be the first derivative of g**4/4 + 257*g**3/9 + 5461*g**2/6 - 1849*g/3 - 23. Factor x(o).
(o + 43)**2*(3*o - 1)/3
Suppose -834 - 12*q**3 + 277*q**4 + 147*q**4 - 421*q**4 - 2493*q**2 - 2499*q - 813*q**3 = 0. What is q?
-1, 278
Suppose 180*s + 25 - 46 - 115 = 224. Solve 34/5*a**4 + 0 + 302/15*a**3 - 8/15*a + 64/5*a**s = 0.
-2, -1, 0, 2/51
Suppose -403*s - 361*s + 146 + 151 = -1231. Find x such that -9/4 - 1/4*x**s - 5/2*x = 0.
-9, -1
Factor -108*m + 1000 + 1429*m**2 + 2508*m + 264*m**3 - 234*m**4 + 969*m**3 - 4859*m**2 + 169*m**3 + 14*m**5.
2*(m - 5)**3*(m - 2)*(7*m + 2)
Suppose -3*r = -2*i + 15, r = i - 2 - 4. Let -2*q + 14*q + 6*q**4 - 9*q**i - 3*q**4 = 0. Calculate q.
-1, 0, 2
Let i = -3457 + 3460. Let u(r) be the second derivative of -1/300*r**6 + 1/420*r**7 - 1/20*r**2 + 0 - 4*r + 1/60*r**i - 1/100*r**5 + 1/60*r**4. Factor u(j).
(j - 1)**3*(j + 1)**2/10
Suppose 4*b - 28 = 8*f, -12*b = -7*b + 3*f - 139. Let t(d) be the first derivative of 1/4*d**3 + 1/4*d**2 + 1/16*d**4 - b + 0*d. Factor t(i).
i*(i + 1)*(i + 2)/4
Suppose 1048 = -a + 3*c, 3124 = -3*a - 119*c + 118*c. Let z = a + 1044. Determine t, given that -3/8*t**3 + 3/4 + 3/8*t - 3/4*t**z = 0.
-2, -1, 1
Let b be (7/(-21))/(1/(-12)). Let r(o) = -10*o**2 + 20*o + 10. Let u(g) = 9 - 3 - 23 - 41*g + 21*g**2 - 4. Let x(k) = b*u(k) + 9*r(k). Factor x(t).
-2*(t - 3)*(3*t + 1)
Let v = 381 + -354. Factor 24 - 24 + 2*n**3 + 24*n**2 + v + 8 + 25 + 82*n.
2*(n + 1)*(n + 5)*(n + 6)
Let a = -352900 + 352900. Find d such that -4/3*d**4 + 0 + 0*d + a*d**2 + 1/6*d**5 - 3/2*d**3 = 0.
-1, 0, 9
Let c(o) be the first derivative of 6 - 189/2*o + 18*o**2 - 1/2*o**3. Let c(n) = 0. Calculate n.
3, 21
Let v(w) be the third derivative of -w**6/40 - 2*w**5/5 + 31*w**4/8 - 11*w**3 - 177*w**2 - 3*w. Factor v(s).
-3*(s - 2)*(s - 1)*(s + 11)
Let y(l) = 3*l**2 + 198*l - 3084. Let z(x) = x - 5 - 1 + 4 - 3*x**2 + 4*x**2. Let n(t) = -y(t) + 6*z(t). Factor n(f).
3*(f - 32)**2
Let c(n) = -3*n**3 - 48*n**2 + 57*n + 342. Let i(x) = -3*x**3 - 50*x**2 + 63*x + 342. Let h(t) = 2*c(t) - 3*i(t). Determine z, given that h(z) = 0.
-19, -2, 3
Let h(m) be the first derivative of -2*m**5/105 + 163*m**4/21 + 2*m**3/21 - 140*m**2/3 + 1304*m/21 - 5985. Find a, given that h(a) = 0.
-2, 1, 326
Suppose 2*a = 5*p - 21, 4*p = -9*a + 14*a + 10. Suppose 2*c = -5*y + 12, -y - 136 = -p*c - 133. Factor -8/5*f**y + 8/5 - 2/5*f + 2/5*f**3.
2*(f - 4)*(f - 1)*(f + 1)/5
Let j(l) = l**3 - 12*l**2 + l - 9. Let r(d) = -16*d - 20. Let s be r(-2). Let i be j(s). Factor -m**5 - 2*m**5 - m**i + m**4 - 3*m**4 + 2*m**5.
-m**3*(m + 1)**2
Let d(r) be the second derivative of -13/15*r**4 + 112/15*r**3 - 32*r**2 + 305*r + 0 + 1/25*r**5. Determine o, given that d(o) = 0.
4, 5
Let v(y) be the third derivative of -y**7/273 - 149*y**6/60 - 62983*y**5/130 - 261515*y**4/156 - 74498*y**3/39 + 734*y**2 + 1. Suppose v(f) = 0. Calculate f.
-193, -1, -2/5
Solve 183*q + 2500 + q**4 + q - 184*q**3 - 5026 + 2711 - 186*q**2 = 0.
-1, 1, 185
Factor 1/6*d**5 + 0*d - 57/2*d**4 + 1204*d**3 + 3698/3*d**2 + 0.
d**2*(d - 86)**2*(d + 1)/6
Let p = -76 - -45. Let b = -27 - p. Factor 109*v**5 + 4*v**b - 106*v**5 + 2*v**3 + v**4.
v**3*(v + 1)*(3*v + 2)
Let t be (40*(-18)/(-720))/((-1)/(-4)). Let n(v) be the first derivative of 0*v + 0*v**3 - 4/5*v**5 + 0*v**2 + 26 + 1/2*v**t + 1/3*v**6. Factor n(g).
2*g**3*(g - 1)**2
Factor 11*k - 41*k - 2*k**2 + k**2 - 4*k**2 + 25 + 10.
-5*(k - 1)*(k + 7)
Let x be 8 + 7/((-7)/(-4)). Factor -323*y + x*y**2 - 97 + 75*y**2 - 3*y**3 - 74*y + 397 + 85*y.
-3*(y - 25)*(y - 2)**2
Let j(w) be the first derivative of -5*w**3/3 + 675*w**2 + 2720*w + 2632. What is x in j(x) = 0?
-2, 272
Let p be ((-68)/(-51))/(8/6). Suppose 4*q + 3*z = -p + 4, -3 = 4*q + 5*z. Factor 2*o + 2/9*o**q + 0 - 4/3*o**2.
2*o*(o - 3)**2/9
Suppose -4*f = 0, 20 - 5 = 5*k + f. Let o(t) = -7*t**2 + 68*t + 75. Let b(z) = -34*z**2 + 340*z + 374. Let i(h) = k*b(h) - 14*o(h). Factor i(m).
-4*(m - 18)*(m + 1)
Let x(f) = -2*f**2 + 2*f - 36. Let k(m) = -3*m**3 - 48*m**2 + 138*m + 588. Let a(h) = -k(h) - 3*x(h). Factor a(u).
3*(u - 4)*(u + 2)*(u + 20)
Let p(u) be the first derivative of 2*u**5/5 + 7*u**4/2 + 34*u**3/3 + 17*u**2 + 12*u + 1238. Factor p(f).
2*(f + 1)**2*(f + 2)*(f + 3)
Let k be -32*((-6732)/(-110) - 62). Solve 4*p**4 - 74/5*p**3 - 104/5*p + k*p**2 - 2/5*p**5 + 32/5 = 0.
1, 2, 4
Suppose -3*s = -4*h + 6, 0*s + 4*s + 3*h - 17 = 0. Suppose -10 + 25*w + 14*w**3 - 7*w**3 - 2*w**3 - 20*w**s = 0. Calculate w.
1, 2
Factor -1/6*d**3 - 77/6*d**2 + 0 - 25*d.
-d*(d + 2)*(d + 75)/6
Let u(c) be the second derivative of 7*c**6/1080 - 23*c**5/360 + c**4/12 - 29*c**3/6 + 45*c - 1. Let g(a) be the second derivative of u(a). Factor g(m).
(m - 3)*(7*m - 2)/3
Factor 78*g + 984*g + 250 + 1873*g + 414 + 65*g**2 - 214.
5*(g + 45)*(13*g + 2)
Let q(k) = -6*k**3 - 30*k**2 + 21*k - 42. Let u(x) = -19*x**3 - 101*x**2 + 62*x - 128. Let f(j) = 10*q(j) - 3*u(j). Suppose f(w) = 0. What is w?
-3, 2
Let y = 109 + -91. Factor 16 + 1 + 2 - i**2 + 0*i**2 - y*i.
-(i - 1)*(i + 19)
Let p(v) = 9*v**2 - 963*v + 570. Let g(u) = u**2 - 65. Let c(z) = 6*g(z) - p(z). Factor c(d).
-3*(d - 320)*(d - 1)
Suppose -4/5*f + 0 - 16/5*f**5 + 4*f**3 - 12/5*f**2 + 12/5*f**4 = 0. Calculate f.
-1, -1/4, 0, 1
Let c(m) be the second derivative of 62*m + 0 - 1/6*m**6 + 0*m**2 + 5/12*m**4 + 5/3*m**3 - 1/2*m**5. Solve c(t) = 0 for t.
-2, -1, 0, 1
Let k(z) be the first derivative of z**3/7 - 27*z**2/2 - 269. Factor k(q).
3*q*(q - 63)/7
Let q(k) be the second derivative of -k**4/3 + 82*k**3/3 - 80*k**2 - 3157*k. Factor q(u).
-4*(u - 40)*(u - 1)
Let g(x) = x**2 + 6*x - 27. Let z(s) = -s**2 - 7*s + 23. Suppose 0 = 20*v + 2 + 78. Let c(k) = v*z(k) - 3*g(k). Factor c(n).
(n - 1)*(n + 11)
Let o(f) = 4*f**3 - 23*f**2 + 20*f - 22. Let v be o(5). Factor -4/3 + 2/9*s - 2/9*s**v + 4/3*s**2.
-2*(s - 6)*(s - 1)*(s + 1)/9
Suppose 256 = 116*d - 52*d. Let h(z) be the second derivative of 0*z**2 + 0 + 28*z - 2/9*z**3 + 0*z**5 - 1/6*z**d + 1/45*z**6. Factor h(u).
2*u*(u - 2)*(u + 1)**2/3
Suppose 46*r**3 + r**4 - 95*r - 12979851*r**2 - 37*r + 12979936*r**2 = 0. What is r?
-44, -3, 0, 1
Suppose 9/5*k**2 + 2 - 47/5*k = 0. Calculate k.
2/9, 5
Find c such that -1/8*c**3 - 319/2 + 1/2*c + 319/8*c**2 = 0.
-2, 2, 319
Let k be (-12)/(-24)*1*0. Suppose 5*m + 2*u = 24, 2*m + k*u + 3*u - 14 = 0. Factor 19/2*s**2 - 7/2*s**3 - 2 - m*s.
-(s - 2)*(s - 1)*(7*s + 2)/2
Determine r so that -r**5 - 19*r**3 + 78*r**3 + 96*r**2 + 3*r**5 + 32*r**4 + 45*r**3 = 0.
-12, -2, 0
Determine n so that -214*n**2 + 212*n**2 + 287 - 189 = 0.
-7, 7
Let v(r) be the first derivative of -r**5 - 15*r**4 - 55*r**3/3 + 5565. Let v(g) = 0. Calculate g.
-11, -1, 0
Let s(c) = c**4 - 5*c**3 - 97*c**2 - 75*c + 4. Let l(u) = -u**4 - 3*u**2 + 1. Let x(f) = -4*l(f) + s(f). Factor x(z).
5*z*(z - 5)*(z + 1)*(z + 3)
Solve 5/2*r**4 + 1/6*r**5 + 47/6*r**3 - 22/3 - 8*r + 29/6*r**2 = 0.
-11, -2, -1, 1
Let n(o) = 26*o**2 - 112*o - 1540. Let u(k) = 1 - 20*k**2 - 19*k**2 + 41*k**2 + 1. Let y(i) = 2*n(i) - 28*u(i). Factor y(m).
-4*(m + 28)**2
Let g(c) = c**2 - 3*c - 2. Let p be g(-1). Suppose 0 = -3*n - p*n + 5*d + 5, 0 = n + 2*d - 4. Factor -4*j**4 - 5*j**n + 2*j**2 - 9*j**2 - 3*j**3 - 13*j**3.
-4*j**2*(j + 1)*(j + 3)
Let k = 309559 - 309557. Determine i so that -2/9*i**4 - 4/9 - k*i**2 + 14/9*i + 10/9*i**3 = 0.
1, 2
Let x(n) = -10*n**2 + 60*n - 180. Let k(o) = -189*o**2 - 24*o + 95*o**2 - 180