 u(z).
-5*z**2*(z + 4)*(z + 37)
Let g(f) be the second derivative of f**4/24 - 11*f**3/12 + 701*f. Factor g(v).
v*(v - 11)/2
Let f be (937/(-16866))/((-1)/3). Let s(v) be the third derivative of 0*v - 1/2*v**3 + f*v**4 + 0 + 13*v**2 - 1/60*v**5. Factor s(n).
-(n - 3)*(n - 1)
Suppose b - 105 = -2*b + 5*s, -105 = -3*b + s. Factor 10*w - 112*w**2 + 41*w**2 + 21 + b*w**2 + 37*w**2.
(w + 3)*(w + 7)
Let v(j) be the third derivative of -j**7/70 - 5*j**6/4 - 2*j**2 - 350. Factor v(i).
-3*i**3*(i + 50)
Suppose -2679*u + 2962 = -120*u - 7549 + 2834. Suppose a - 3*z + 0*z = -13, 5*a - 5 = z. Factor 4/7 - 6/7*l + 2/7*l**u + 0*l**a.
2*(l - 1)**2*(l + 2)/7
Let d(c) be the third derivative of -1/50*c**5 + 0*c**3 - 1/75*c**7 - 69*c**2 - 1/25*c**6 + 1/30*c**4 + 0*c + 0. Solve d(h) = 0 for h.
-1, 0, 2/7
Suppose -8*x - 8 + 56 = 0. Suppose 0*k + x*k - 12 = 0. Let -y**2 - 2*y**k - 7*y**4 + 4*y**2 + 6*y**4 = 0. Calculate y.
-1, 0, 1
Factor -1384*i**3 + 1840*i**4 + 11*i**5 + 11120*i**2 - 7*i**5 - 6016*i**3 - 7420*i + 1856.
4*(i - 1)**4*(i + 464)
Let z(y) be the second derivative of -y**4/6 + 19*y**3/3 + 182*y**2 - 2282*y. Factor z(t).
-2*(t - 26)*(t + 7)
Let t(r) = -7*r**2 - 3316*r - 1391107. Let g(q) = 11*q**2 + 4972*q + 2086660. Let c(a) = 5*g(a) + 8*t(a). Suppose c(o) = 0. Calculate o.
-834
Let a(u) be the first derivative of -3*u**5/20 - u**4/2 - u**3/2 - 38*u - 49. Let y(t) be the first derivative of a(t). Solve y(i) = 0.
-1, 0
Let j(m) be the second derivative of -m**5/10 + 211*m**4/6 - 11024*m**3/3 - 11236*m**2 + 1033*m. Factor j(i).
-2*(i - 106)**2*(i + 1)
Let v(f) be the first derivative of -3/5*f**5 - 1/14*f**6 - 13/7*f**3 + 0*f - 6/7*f**2 - 45/28*f**4 + 10. Solve v(w) = 0.
-4, -1, 0
Let o be -50*(-2)/12 - (-28)/(-105)*5. Let r(i) be the third derivative of 0*i + 6*i**2 + 1/20*i**6 + 0*i**4 - 1/70*i**o + 0*i**3 + 0 - 1/20*i**5. Factor r(x).
-3*x**2*(x - 1)**2
Let j = -77523 - -77526. Suppose 0*o + 3/2*o**5 + 3*o**2 + 0 - 3/2*o**j - 3*o**4 = 0. Calculate o.
-1, 0, 1, 2
Determine g, given that 82/9*g**3 - 2/9*g**5 - 96*g - 120 - 10/9*g**4 + 34*g**2 = 0.
-6, -1, 3, 5
Let c(k) be the third derivative of -k**5/20 + 5*k**4/4 - 12*k**3 + 621*k**2. Let c(v) = 0. What is v?
4, 6
Let m(x) be the second derivative of x**6/6 - 19*x**5/4 + 295*x**4/12 + 95*x**3/6 - 150*x**2 - 3923*x. Determine o so that m(o) = 0.
-1, 1, 4, 15
Let i = -80294 - -80296. Factor 24/5*z + 2/5*z**3 + 4*z**i - 144/5.
2*(z - 2)*(z + 6)**2/5
Suppose -k = -3*v - 1, -v + 4 = -6*k + 10*k. Suppose v = -3*m + 27 - 3. Find s, given that m - 2*s**2 + 32/3*s = 0.
-2/3, 6
Factor -42/5*j**2 + 20*j + 2/5*j**3 + 144/5.
2*(j - 18)*(j - 4)*(j + 1)/5
Suppose 2*m + 5*z = -3*m - 50, 2*z = -4*m - 42. Let b be 5/2*m/(-110). Factor -1/2*v**4 - 1/4*v**5 + b*v + 0*v**3 + 1/2*v**2 + 0.
-v*(v - 1)*(v + 1)**3/4
Let a(f) be the third derivative of 17*f**6/24 - 4*f**5/3 - 415*f**4/24 - 125*f**3/3 - 5235*f**2. Factor a(o).
5*(o + 1)**2*(17*o - 50)
Let w(r) = -r**3 - 6*r**2 - 7*r - 1. Suppose -5*l = -10, 0 = -2*s - 0*s - 4*l - 2. Let z be w(s). Factor z*q**3 + 3*q**5 - 7*q**3 + q**3 + 6*q**4.
3*q**3*(q + 1)**2
Let o = 45 + -40. Suppose -21 = l + o*b - 3, 3*l + b - 2 = 0. Determine q, given that -2*q**3 - 67*q + 38*q + l*q**2 + 33*q = 0.
-1, 0, 2
Let i(t) be the second derivative of -7*t**7/39 + 6146*t**6/195 - 127892*t**5/65 + 580440*t**4/13 + 684432*t**3/13 + 296352*t**2/13 - 667*t + 1. Factor i(o).
-2*(o - 42)**3*(7*o + 2)**2/13
Let x(u) = -141*u**2 + 594*u - 1761. Let f(z) = -35*z**2 + z. Let j(s) = 4*f(s) - x(s). Solve j(n) = 0.
3, 587
Suppose n - 14 = -6*n. Suppose t - g - n*g - 5 = 0, -5*t + 5*g = -15. Factor 0*m + 0 + 0*m**3 + 0*m**t + 1/5*m**5 - 1/5*m**4.
m**4*(m - 1)/5
Let o(x) be the third derivative of 0*x + 0 + 0*x**3 + 5/84*x**8 + 2/15*x**5 + 0*x**4 - 1/6*x**6 + 227*x**2 - 4/105*x**7. Let o(y) = 0. What is y?
-1, 0, 2/5, 1
Let x(z) = 4*z + 48. Let f be x(-12). Suppose 5*v - 10*v + 15 = f. Let 6*h**3 - v*h**3 - 4*h**3 + 4*h**2 + 2 - 5*h = 0. What is h?
1, 2
Let y = 4789 - 4786. Let s(c) be the second derivative of 1/80*c**5 + 0*c**2 - 1/8*c**y - 1/24*c**4 - 6*c + 0. Factor s(r).
r*(r - 3)*(r + 1)/4
Let m(g) be the second derivative of g**5/36 - 83*g**4/36 - 25*g**3/27 - 8490*g. What is j in m(j) = 0?
-1/5, 0, 50
Factor 39878*w + 0*w**2 - 291 - 39762*w - 93 + 4*w**2.
4*(w - 3)*(w + 32)
Factor 1/5*q**3 - 16*q**2 - 166/5 - 247/5*q.
(q - 83)*(q + 1)*(q + 2)/5
Suppose 0 = -3*w - 5*f + f + 123, 2*w - 102 = 4*f. Suppose w = 3*i - 3*m, -2*i + 15 = -m + 2*m. Factor -19 + 19 + 14*z**3 - z**2 - 3*z**2 - i*z**4.
-2*z**2*(z - 1)*(5*z - 2)
Let g(p) be the first derivative of 3/4*p**4 + 138 - 6*p**3 + 18*p - 3/2*p**2. Factor g(m).
3*(m - 6)*(m - 1)*(m + 1)
Let x be (13/(-10) + 1)/(4/(-20)). Suppose 37 = 51*k - 31*k - 3. Suppose 1/2*j**4 + 2 + k*j - x*j**2 - j**3 = 0. What is j?
-1, 2
Suppose 0 = 4*x + a - 53, 0 = 39*x - 40*x + 3*a - 3. Let q(b) be the first derivative of -4/5*b**5 + x*b**3 + 16*b - 22*b**2 - 18 - b**4. What is y in q(y) = 0?
-4, 1
Let g = 1074 - 814. Let x be (-5)/(-20) - (-143)/g. Factor -16/5 - x*w**2 - 16/5*w.
-4*(w + 2)**2/5
Factor 64 + 63*i**2 - 16*i - 94*i**2 + 27*i**2 + i**3.
(i - 4)**2*(i + 4)
Suppose y - 1 = -4*s - 2*y, -y = s + 1. Let b = -129105 - -258215/2. Factor -b*x**s - 25/2*x**3 + 0 - 35/2*x**2 - 15/2*x.
-5*x*(x + 1)**2*(x + 3)/2
Let g(z) be the third derivative of z**5/660 - 5*z**4/264 - 19*z**3 - 10462*z**2. Factor g(x).
(x - 38)*(x + 33)/11
Let d(t) = 3*t**4 + 55*t**3 + 122*t**2 - 178*t. Let h(g) = -20*g**4 - 385*g**3 - 855*g**2 + 1245*g. Let v = 84 + -82. Let c(j) = v*h(j) + 15*d(j). Factor c(x).
5*x*(x - 1)*(x + 6)**2
Let k(r) be the first derivative of r**4/6 + 16*r**3 - 49*r**2 + 148*r/3 - 150. Let k(v) = 0. What is v?
-74, 1
Let i(s) be the third derivative of -s**8/24192 + s**7/3024 - s**6/864 - 7*s**5/60 - s**4/24 + 35*s**2. Let p(r) be the third derivative of i(r). Factor p(j).
-5*(j - 1)**2/6
Suppose 31*f - 16*f - 89*f = -296. Suppose -16/3*i**f + 92/3*i - 184/3*i**2 - 16/3*i**5 + 140/3*i**3 - 16/3 = 0. Calculate i.
-4, 1/2, 1
What is d in -280 + 316/3*d + 0*d**2 - 4/3*d**3 = 0?
-10, 3, 7
Let x be 8/52 - (13120/4368)/20. Let m(u) be the second derivative of 0*u**2 + 0*u**4 + 0 - 1/65*u**5 + x*u**7 + 18*u - 1/195*u**6 + 0*u**3. Factor m(w).
2*w**3*(w - 2)*(w + 1)/13
Factor -439 + 9 - 4*b**2 - 220 - 226 + 304*b.
-4*(b - 73)*(b - 3)
Let b(q) = -29*q**2 - 172*q - 1304. Let v(f) = -35*f**2 - 170*f - 1305. Let u(z) = -5*b(z) + 4*v(z). Factor u(c).
5*(c + 10)*(c + 26)
Let y(f) = f**2 - 21*f - 1. Let c(l) = -3*l**2 + 47*l + 313. Let z(p) = c(p) + 5*y(p). Factor z(t).
2*(t - 22)*(t - 7)
Suppose 4437*k + 4*q = 4436*k + 26, -5*q + 22 = -4*k. Suppose 32/7 + 16/7*p + 2/7*p**k = 0. What is p?
-4
Let m(v) be the first derivative of v**3/7 + 3603*v**2/7 + 4327203*v/7 + 211. Let m(w) = 0. What is w?
-1201
Factor -649*l + 445*l**2 + 209*l - 70*l**3 - l**4 - 4*l**4 - 8 + 188 - 110*l**2.
-5*(l - 2)*(l - 1)**2*(l + 18)
Let c be (-1)/3 - 1862/(-114). Let j be ((-27)/15)/((-12)/c). Factor 2/5*b**4 + j*b**2 + 2/5 - 8/5*b - 8/5*b**3.
2*(b - 1)**4/5
Let i(y) be the first derivative of -5*y**3/3 - 95*y**2/2 + 1080*y + 1491. What is u in i(u) = 0?
-27, 8
Let b(h) be the second derivative of -13*h - 200*h**2 - 1/12*h**4 - 20/3*h**3 + 0. Solve b(z) = 0 for z.
-20
Let x(h) be the third derivative of -h**6/960 + 7*h**5/480 - h**4/48 - h**3/4 + 1703*h**2. What is y in x(y) = 0?
-1, 2, 6
Suppose -56 = -35*h + 34 - 20. Let 3*q + 10/3 - 1/3*q**h = 0. What is q?
-1, 10
Find f such that -749 - 476 - 110*f - 377 + 5*f**2 + 1082 = 0.
-4, 26
Let i be (-2)/9 - 210/49*(1100/(-108) - -10). Find l, given that -2/7*l**2 + i*l + 6/7 = 0.
-1, 3
Let r(h) be the second derivative of -h**5/24 + 5*h**4/8 + 81*h**2/2 - 2*h - 10. Let f(w) be the first derivative of r(w). Let f(v) = 0. What is v?
0, 6
Let u(m) be the third derivative of -m**6/1260 - m**5/28 + 91*m**3/6 - 87*m**2. Let w(y) be the first derivative of u(y). Factor w(s).
-2*s*(s + 15)/7
Let a(w) = 61*w**2 + 31*w - 143. Let c(m) = -142*m**2 - 62*m + 287. Let t(b) = 7*a(b) + 3*c(b). Find z, given that t(z) = 0.
-35, 4
Suppose 0*w + 0 - 124/7*w**3 + 1248/7*w**2 - 4/7*w**4 = 0. Calculate w.
-39, 0, 8
Determine q, given that 1166 + 3965*q + 1401 - 582 + 1975*q**2 + 62*q**3