 - 7*p**3 - 25*p**2 = 0.
-1, 0, 5
Let p(t) be the first derivative of 4/15*t**6 + 1/5*t**2 - 26/25*t**5 + 3/2*t**4 - 14/15*t**3 + 50 + 0*t. Factor p(f).
2*f*(f - 1)**3*(4*f - 1)/5
Let n = -2/1351453 - 10933254744/17568889. Let v = -622 - n. Factor -2/13*s**5 - 4/13 + 14/13*s - 16/13*s**2 + 4/13*s**4 + v*s**3.
-2*(s - 1)**4*(s + 2)/13
Let w(p) be the third derivative of -p**6/600 + 4*p**5/75 + 19*p**4/40 + 700*p**2. Factor w(s).
-s*(s - 19)*(s + 3)/5
Let g(r) be the third derivative of -r**5/60 - 130*r**4/3 - 135200*r**3/3 + 13*r**2 - 79*r. Factor g(o).
-(o + 520)**2
Let x(o) = -57*o**2 + 3*o. Let r be x(-1). Let d = -57 - r. Factor d*n**5 - 14*n**2 - 6*n + 922*n**4 + 5*n**2 - 913*n**4 + 3*n**3.
3*n*(n - 1)*(n + 1)**2*(n + 2)
Let d be 21/(-12) + -105*14/(-392). Factor 3/2*l**d - 2 + 26/3*l.
(l + 6)*(9*l - 2)/6
Suppose -k**4 + 36*k + 26*k**2 - 28686 + 57308 - 28710 - 9*k**3 = 0. Calculate k.
-11, -2, 2
Suppose -220 = -2296*b + 2186*b. Factor -1/10*y**b + 0 - 6/5*y.
-y*(y + 12)/10
Let a(g) = -g**3 + 21*g**2 + 23*g + 34. Let p be a(22). Factor 24 - 16*l + 45*l**2 - 57*l**2 + p.
-4*(l - 2)*(3*l + 10)
Let y(g) = g**3 + 3*g**2 - 3*g - 4. Suppose 0*u + 3 = -u. Let l be y(u). Determine h, given that 6*h**3 + 4*h + 2*h**5 + 2*h**3 - 8*h - 6*h**l = 0.
-1, 0, 1
Let -300*l + 580 - 135*l**2 - 134*l**2 + 19*l**2 + 5*l**3 - 27*l**2 - 8*l**2 = 0. What is l?
-2, 1, 58
Let q = -264 - -388. Let 6994 - 32*y**2 - 7082 + q*y - 4*y**3 + 0*y**3 = 0. Calculate y.
-11, 1, 2
Let u = -636 - -1139. Let l = u - 500. Suppose 26/3*f**l + 4/3*f**2 + 0*f + 22/3*f**4 + 0 = 0. What is f?
-1, -2/11, 0
Let x(z) be the third derivative of 17/6*z**3 + 1/60*z**5 + 0*z**4 + 3*z**2 + 1/180*z**6 + 0*z + 0. Let t(i) be the first derivative of x(i). Factor t(v).
2*v*(v + 1)
Let m(u) = 3*u**2 - 83*u + 8. Let s(x) = 20*x**2 - 580*x + 54. Let a(y) = -27*m(y) + 4*s(y). Factor a(i).
-i*(i + 79)
Let j = -14 - -17. Suppose 0 = -j*a + 7*a - 12. Solve -5*o**4 + 15*o**a - 1 - 3 + 4 = 0.
0, 3
Let s = -1779 - -1779. Let p(q) be the first derivative of -8/9*q**3 + 0*q**2 + 2/5*q**5 + s*q - 2/3*q**4 - 8. Let p(y) = 0. Calculate y.
-2/3, 0, 2
Factor 0*n - 2/13*n**3 + 27000/13 - 90/13*n**2.
-2*(n - 15)*(n + 30)**2/13
Let p be 31/2 + 11/(-22). Suppose -5*o - 3*t - 2 = -19, -3*o + 3*t = -p. Factor -3*a**2 - 21*a**5 + a**4 - 3*a**2 + 3 + 24*a**5 + 3*a - 6*a**3 + 2*a**o.
3*(a - 1)**2*(a + 1)**3
Let w(i) be the second derivative of -15*i + 0 + 25/6*i**3 + 5/12*i**4 + 0*i**2. What is c in w(c) = 0?
-5, 0
Let n(d) be the second derivative of 2*d**6/15 + 37*d**5/5 + 12*d**4 + 455*d. Find f such that n(f) = 0.
-36, -1, 0
Let q(c) be the third derivative of c**5/20 + 287*c**4/4 + 572*c**3 - 3921*c**2. Determine u so that q(u) = 0.
-572, -2
Let x = 41397 + -41395. Let b(g) be the third derivative of 0*g**3 + 7*g**x + 4/15*g**6 + 1/4*g**4 + 0 + 0*g - 13/30*g**5 - 4/105*g**7. Factor b(j).
-2*j*(j - 3)*(2*j - 1)**2
Suppose -p = 0, 102 = -n - p + 3*p. Let g = 137 + n. Factor -5*y**2 - 13 + g - 22.
-5*y**2
Let c = 419042437/85 + -4929981. Let f = c - -364/5. Factor f*d - 72/17 + 22/17*d**2 + 2/17*d**3.
2*(d - 1)*(d + 6)**2/17
Let i(c) be the third derivative of -c**5/270 + 194*c**4/27 - 150544*c**3/27 + 1318*c**2. Determine d, given that i(d) = 0.
388
Let i be ((-10)/8)/((-285)/(-1216)*-2). Let u(d) = d**2 + 5*d - 6. Let g be u(-6). Factor -2*h**4 + 0 + g*h - i*h**2 - 4*h**3 - 1/3*h**5.
-h**2*(h + 2)**3/3
Let c(m) be the first derivative of -35*m**4/12 - 5*m**3 + 5*m**2/2 + 7*m + 16. Let d(r) be the first derivative of c(r). Determine n so that d(n) = 0.
-1, 1/7
Let a be ((-2)/(-8))/(66/264). Let o be ((-1)/2)/(-2 + a). Factor o*q**2 - q + 0.
q*(q - 2)/2
Let r(b) = -b**2 + 11*b + 2. Let a be r(11). Let i be (-10)/(-45) + 14/18 + a. Find l such that -4*l**4 + 0*l**4 - 326*l**3 + 322*l**i + 0*l**4 = 0.
-1, 0
Suppose 0 = 186*x - 196*x - 150. Let m be x*(-5)/(-15) + 133/21. Let -1/3*s**2 - m*s + 5/3 = 0. Calculate s.
-5, 1
Suppose 0 = -5*u + 13*u - 2*u. Suppose -9*n - 4 + 22 = u. Determine l, given that -5*l - 22*l - 3*l**3 + l**n + 17*l**2 = 0.
0, 3
Let m(g) = -18*g**2 + 4*g + 280 - 280 - 21*g. Let z(q) = 11*q**2 + 9*q + 1. Let w(f) = -3*m(f) - 5*z(f). Factor w(h).
-(h - 5)*(h - 1)
Let q(w) be the third derivative of -w**7/42 + 7*w**6/12 - 11*w**5/4 - 70*w**4/3 - 160*w**3/3 - 1493*w**2. Factor q(x).
-5*(x - 8)**2*(x + 1)**2
Suppose 0 = -4*r + 4*i + 68, -6*i - 9 = -9*i. Suppose -r = -10*j - 0. Factor 2*v**2 - 6*v**5 + 4*v**3 + 8*v**5 - j*v**4 - 6*v**3.
2*v**2*(v - 1)**2*(v + 1)
Let m = 8235457/2906634 + 1/484439. Factor 1/2*g**2 + 1/6*g - 5/2*g**3 + m*g**4 - g**5 + 0.
-g*(g - 1)**3*(6*g + 1)/6
Suppose -18/5*c**2 - 444/5 - 2002/5*c = 0. Calculate c.
-111, -2/9
Let 182 + 1207*t**3 + 610*t**4 + 5*t**5 - 5330*t**2 + 533*t**3 - 354 + 2975*t + 172 = 0. Calculate t.
-119, -5, 0, 1
Let i(w) = -31*w + 1846. Let f be i(58). Factor f + 4/3*k**2 + 16*k.
4*(k + 6)**2/3
Factor -193*p**3 - 1215 + 210*p**2 - 1080*p + 5*p**4 + 151*p**3 + 122*p**3.
5*(p - 3)*(p + 1)*(p + 9)**2
Let b be 891/220 - (-8 - -12). Let u(d) be the second derivative of -1/6*d**3 - 24*d + 0*d**4 + 0 + b*d**5 + 1/4*d**2 - 1/60*d**6. Determine j so that u(j) = 0.
-1, 1
Let d(s) be the second derivative of -s**4/3 - 254*s**3/3 + 51*s + 13. Factor d(w).
-4*w*(w + 127)
Let p = -147 - -142. Let d be p - (2 + 3/(-1)) - -20. Suppose 20/3*m**2 + 16/3 - d*m = 0. What is m?
2/5, 2
Let 3/7*l**5 + 305/7*l - 304/7*l**4 + 906/7*l**2 - 202/7 + 92/7*l**3 = 0. Calculate l.
-1, 1/3, 2, 101
Let m = 2246 - 24704/11. Let x(h) be the second derivative of 6*h - m*h**3 - 5/11*h**2 - 1/66*h**4 + 0. Factor x(b).
-2*(b + 1)*(b + 5)/11
Let k(g) = -3*g**2 + 243*g - 614. Let u(d) = -d**2 + 84*d - 204. Let f(q) = -2*k(q) + 7*u(q). Let f(a) = 0. What is a?
2, 100
Let g = 7/18780 + -43699/11268. Let o = 41/10 + g. Factor 10/9*z - 10/9*z**4 + 20/9*z**3 - 20/9*z**2 + o*z**5 - 2/9.
2*(z - 1)**5/9
Let w be ((-10)/(-20) + -1)*0. Let g be (w/(8 + -18))/(-2). Determine q, given that g - 4/7*q**2 + 2/7*q**3 + 2/7*q = 0.
0, 1
Let z(p) be the second derivative of 2*p**7/35 + 2*p**6/3 + 47*p**5/25 - 77*p**4/15 - 164*p**3/5 - 144*p**2/5 - 2*p - 171. Solve z(u) = 0 for u.
-4, -3, -1/3, 2
Suppose -188*o + 244 + 696 = 0. Let k be -6*4/8 + 3. Factor 1/2*j**4 + 0 - 1/4*j**o + 0*j + k*j**2 - 1/4*j**3.
-j**3*(j - 1)**2/4
Let l(a) = -a**2 + 58*a + 4. Let t be l(0). Let h(o) be the first derivative of -o**4 + 0*o**3 + 0*o**2 + 0*o - 8/3*o**6 + 4*o**5 - t. Factor h(q).
-4*q**3*(q - 1)*(4*q - 1)
Let r(a) be the second derivative of a**4/27 + 26*a**3/9 + 76*a**2/9 + 83*a + 1. What is f in r(f) = 0?
-38, -1
Let z = -152 + 192. Solve 52 - 72 - z*n - 5*n**2 - 40 = 0.
-6, -2
Let f be ((-66)/6 + 578/51)*0/2. Let u = -4 - -6. Solve f + 0*i**u + 0*i - 2/5*i**3 - 2/5*i**4 = 0.
-1, 0
Let f(k) be the second derivative of 1/300*k**6 - 7*k + 0 - 7/60*k**4 + 0*k**5 - 7/2*k**2 + 2/5*k**3. Let c(s) be the first derivative of f(s). Factor c(r).
2*(r - 2)*(r - 1)*(r + 3)/5
Let p(l) be the third derivative of l**7/22680 + l**6/270 + 2*l**5/15 + 10*l**4/3 - 10*l**2 + 2*l. Let b(h) be the second derivative of p(h). Factor b(k).
(k + 12)**2/9
Let g(y) be the second derivative of y**6/60 - y**4/8 - y**3/6 - 8*y - 26. Factor g(j).
j*(j - 2)*(j + 1)**2/2
Factor -1/3*y**3 - 340/3*y**2 - 448 - 1348/3*y.
-(y + 2)**2*(y + 336)/3
Determine t so that 7593*t**2 - 21*t**3 + 5*t + t + 9 - 7626*t**2 - 9*t = 0.
-1, 3/7
Let p(w) be the first derivative of -70 + 0*w + 2/15*w**3 + 3/10*w**2 - 1/20*w**4. Factor p(h).
-h*(h - 3)*(h + 1)/5
Factor -2/3*l**2 - 320/3 - 56/3*l.
-2*(l + 8)*(l + 20)/3
Let m(g) = 2*g**2 - 76*g + 618. Let v(c) = c - 5. Let i(d) = m(d) + 8*v(d). Factor i(u).
2*(u - 17)**2
Let o be 64/(-416)*65/(70/(-14)). Solve 2/9*t**5 - 2*t**3 - o*t**2 + 0*t + 0 + 2/9*t**4 = 0.
-3, -1, 0, 3
Let b be ((-3)/13)/(144/(-416)). Factor -b*k**2 - 150 + 20*k.
-2*(k - 15)**2/3
Let u(o) be the third derivative of 2*o**7/105 + 4*o**6/15 - 79*o**5/15 + 35*o**4/3 - 7*o**2 - 46*o. Factor u(m).
4*m*(m - 5)*(m - 1)*(m + 14)
Suppose -39*v + 330 = 38*v - 55. Let a(i) be the first derivative of -7/4*i**4 + 7/2*i**2 + i**v - i**3 - 2*i + 6. Determine x, given that a(x) = 0.
-1, 2/5, 1
Let d be (-64)/(-1)*(904/(-48) - -19). Solve -d + 16/3*o - 2/3*o**2 = 0 for o.
4
Let p 