. Factor y(p).
-5*p**2*(p + 3)
Let s be (-16)/12*-4*(-45)/(-80) + (-484)/396. What is z in 2/9*z**2 - 4/3*z + s = 0?
2, 4
Suppose -137600*t - 14 + 5*t**2 + 275164*t - 137597*t = 0. Calculate t.
-2/5, 7
Let c be (-72)/96*(-1)/315. Let u(a) be the third derivative of 0 - c*a**7 + 4*a**2 + 0*a**4 + 0*a - 1/30*a**5 - 1/48*a**6 + 0*a**3. Let u(r) = 0. What is r?
-4, -1, 0
Factor 79*z - 2*z**2 + 1425470 + 5*z - 1425630.
-2*(z - 40)*(z - 2)
Let l be (0 + 3 + 1)*35/245. Factor 5/7*p**2 + l - 8/7*p - 1/7*p**3.
-(p - 2)**2*(p - 1)/7
Let m(u) = -7*u**4 - 4*u**3 - 3*u**2. Let t(g) = -12*g**2 + g**3 + 31*g**4 - 35*g**4 - 16*g**3 - 26*g**4. Let k(v) = -9*m(v) + 2*t(v). Factor k(o).
3*o**2*(o + 1)**2
Let p(j) be the second derivative of -j**6/720 - j**5/20 - 3*j**4/4 + j**3/6 + 13*j**2/2 - 9*j - 2. Let r(w) be the second derivative of p(w). Factor r(u).
-(u + 6)**2/2
Let i(z) be the third derivative of -z**5/45 - 497*z**4/72 - 62*z**3/9 + 581*z**2. Solve i(g) = 0 for g.
-124, -1/4
Solve -100 + 516 + 147 - 2200*u**3 - 3 + 405*u**2 + 2235*u**3 + 1200*u = 0.
-7, -4, -4/7
Let z(p) be the third derivative of 0*p**3 + 0*p**4 + 0*p - 1/84*p**7 + 4 - 1/40*p**5 + 1/15*p**6 - 15*p**2. Factor z(i).
-i**2*(i - 3)*(5*i - 1)/2
Let p(r) be the second derivative of -r**7/3780 - r**6/270 - r**5/45 - r**4/12 + r**3/2 - 7*r - 3. Let x(t) be the third derivative of p(t). Factor x(q).
-2*(q + 2)**2/3
Let i(j) = -27*j + 140. Let u be i(5). Suppose 3*q + 19 = 5*m + 20, -u = -2*q - m. Let 9*t**4 + 6*t**3 + 3/2*t + 0 - 9*t**q - 15/2*t**5 = 0. Calculate t.
-1, 0, 1/5, 1
Let q(z) be the first derivative of -2*z**5/25 - 339*z**4/5 - 228482*z**3/15 + 46104*z**2 - 46240*z - 1796. What is w in q(w) = 0?
-340, 1
Let q be ((-1014)/40)/(-13) - (-678)/(-565). Let 0*u - 3/4*u**5 + q*u**3 + 0 + 3/2*u**2 - 3/2*u**4 = 0. What is u?
-2, -1, 0, 1
Suppose -145*h - 62 = -176*h. Suppose -2*w + h*x + 10 = 0, -5*w = -0*w - 2*x - 10. Factor w*t - 3/5*t**3 + 0 - 6/5*t**2.
-3*t**2*(t + 2)/5
Let f(a) be the second derivative of a**5/170 + 3*a**4/34 + 14*a**3/51 - 24*a**2/17 + 1162*a. Solve f(m) = 0.
-6, -4, 1
Let o(b) be the third derivative of 0 + 2*b - 11/8*b**4 + 1/80*b**5 - 68*b**2 + 121/2*b**3. What is y in o(y) = 0?
22
Let t be (-1)/((7810/(-121))/5). Let n = t - -1103/426. Determine q, given that 16/3*q**2 + 0 - n*q + 2/3*q**4 - 10/3*q**3 = 0.
0, 1, 2
Let b be 9 - (2 - 3)/(30/(-270)). Let t(w) be the first derivative of 1/6*w**2 + b*w + 1/12*w**4 - 19 - 2/9*w**3. Suppose t(l) = 0. Calculate l.
0, 1
Let y = -850463 + 9346747/11. Let u = -758 - y. Factor 16/11 - u*v + 1/11*v**2.
(v - 4)**2/11
Let n = -3595 + 3597. Let v(g) be the first derivative of 2/7*g + 1/4*g**4 - 12 - 4/7*g**3 + 3/14*g**n. Factor v(c).
(c - 1)**2*(7*c + 2)/7
Let p be (-68)/(-272)*(-3)/(30/(-8)). Factor -p*y + 0 + 2/5*y**2.
y*(2*y - 1)/5
Let k(w) = -50*w**3 + 241*w**2 + 25*w - 4. Let m(y) = y**2 + 1. Let q(p) = -k(p) - 4*m(p). Factor q(n).
5*n*(n - 5)*(10*n + 1)
Let w = -326 + 328. Find f such that -27*f**2 - 30*f**2 - 57 - 106*f + 2*f**3 - 23 + 7*f**w + 26 = 0.
-1, 27
Let s be 3 - (-10)/770*(0 - -7)*-31. Suppose s*d**4 - 18/11*d**3 + 18/11*d + 0 - 2/11*d**2 = 0. What is d?
-1, 0, 1, 9
Let s(h) = h**2 - h + 5. Let q be s(-3). Suppose 3*c = 5*a + q, 3*c + a + 9 = 5*c. Suppose -52*u**2 - 4 - 96*u - c + 9 + 15 = 0. What is u?
-2, 2/13
Suppose -1 + 961 = 15*m. Find u, given that -m*u**2 + 1 + 54*u**3 + 48*u**3 - 16*u - 1 - 66*u**3 = 0.
-2/9, 0, 2
Let y(l) be the third derivative of -l**7/4200 + l**6/900 + l**5/120 - l**4/20 + 19*l**3/2 - 6*l**2. Let a(r) be the first derivative of y(r). Factor a(t).
-(t - 3)*(t - 1)*(t + 2)/5
Suppose -2*u - 18*u + 720 = 0. Suppose -723*k**3 + 1125*k**2 + 99 + u + 98*k**3 - 675*k = 0. Calculate k.
3/5
Let q(l) be the second derivative of -l**4/10 + 13*l**3/15 + 6*l**2 + 4*l + 215. Factor q(v).
-2*(v - 6)*(3*v + 5)/5
Suppose 3*a + 24 = -3*f, a - 9 = f + 3*a. Let t be -6 + (5/(-15) - f). Factor -2/3*o**2 + t*o**3 + 0 - 4/3*o.
2*o*(o - 2)*(o + 1)/3
Let n(h) be the second derivative of -h**6/360 - h**5/20 - 3*h**4/8 + 13*h**3/3 - h**2 + 27*h. Let c(r) be the second derivative of n(r). Factor c(u).
-(u + 3)**2
Let r be -3 + 9/((-9)/(-13)). Factor 340*s**2 + r*s + 6 - 339*s**2 + 3.
(s + 1)*(s + 9)
Let a(q) be the third derivative of q**5/30 + 289*q**4/6 - 193*q**3 - 4*q**2 - 59. Factor a(r).
2*(r - 1)*(r + 579)
Factor -12 + 313*q**3 - 306*q**3 - 37*q + 4 + 36*q**2 + 2 + 0.
(q - 1)*(q + 6)*(7*q + 1)
Let l(r) be the third derivative of -r**8/40320 + r**7/630 + 17*r**6/1440 + 22*r**5/15 - 5*r**2. Let p(n) be the third derivative of l(n). Factor p(a).
-(a - 17)*(a + 1)/2
Let g(q) be the first derivative of -q**4/4 - 71*q**3 + 429*q**2/2 - 215*q - 454. Determine l, given that g(l) = 0.
-215, 1
Let l(n) be the third derivative of -5*n**4 + 1/3*n**5 - 1/42*n**7 - 5/336*n**8 + 52*n**2 + 0*n + 0 + 0*n**3 + 5/12*n**6. Let l(d) = 0. What is d?
-3, -2, 0, 2
Let h(c) be the second derivative of -c**5/4 + 20*c**4/3 - 115*c**3/2 + 225*c**2 + 2371*c. Factor h(r).
-5*(r - 10)*(r - 3)**2
Let x(t) be the second derivative of t**7/126 + 41*t**6/90 + 167*t**5/30 + 383*t**4/18 + 689*t**3/18 + 217*t**2/6 - 12284*t. Factor x(h).
(h + 1)**3*(h + 7)*(h + 31)/3
Determine k so that -3*k**3 - 3030/7*k - 10611/7*k**2 + 0 = 0.
-505, -2/7, 0
Let c(a) be the first derivative of a**6/240 + a**5/10 - 5*a**3 + 2*a - 19. Let o(q) be the third derivative of c(q). Factor o(z).
3*z*(z + 8)/2
Find q such that 51*q**2 + 442*q - 239*q**2 + 22*q**3 - 261 + 60*q - 76*q + q**4 = 0.
-29, 1, 3
Let a(q) = -9*q**2 - 175*q - 230. Let j be a(-18). Factor -4/5*c**3 + 1/5*c**j - 2/5*c + c**2 + 0.
c*(c - 2)*(c - 1)**2/5
Let k = -707 + 720. Suppose 4 = -5*j - v + k, -4*j + 4 = 4*v. Solve 8/15*f**4 + 194/15*f**j + 88/5*f - 88/15*f**3 + 24/5 = 0.
-1/2, 6
Factor -6/13 + 8/13*l - 2/13*l**2.
-2*(l - 3)*(l - 1)/13
Let t(f) be the third derivative of -f**8/1008 - f**7/630 + 19*f**6/360 - 11*f**5/180 - 5*f**4/12 - 1282*f**2. Determine z so that t(z) = 0.
-5, -1, 0, 2, 3
Let r be 0/(((-60)/(-4))/(10 - 13)). Let d(f) be the second derivative of r + 13*f + 0*f**4 - 2/11*f**2 + 7/33*f**3 - 9/110*f**5. Solve d(y) = 0.
-1, 1/3, 2/3
Factor 5*h**2 - 40/3 + 10/3*h.
5*(h + 2)*(3*h - 4)/3
Let c(x) = -3*x**2 + 8*x - 4. Let y(r) be the third derivative of -r**5/60 + r**4/24 - r**3/6 - 36*r**2. Let l(o) = -c(o) + 4*y(o). Factor l(n).
-n*(n + 4)
Solve -3/2*t**3 - 4509/2*t + 6723/2 + 765/2*t**2 = 0.
3, 249
Let w be 104/(-130) + 211/(-5). Let p = -41 - w. Factor -2/9*o**3 + 0*o**p + 0 + 2/9*o.
-2*o*(o - 1)*(o + 1)/9
Suppose -880*t**2 - 159*t**3 - 28*t**5 + 793*t**2 + 25*t**5 + 133*t + 87*t**4 + 29*t = 0. Calculate t.
-1, 0, 1, 2, 27
Let i = -85792 + 85794. Factor -22/5*g - 2/5 - 48/5*g**i.
-2*(3*g + 1)*(8*g + 1)/5
Let d(j) be the third derivative of j**6/156 + 61*j**5/130 - 337*j**4/78 + 80*j**3/13 + 79*j**2 - 14. Find x, given that d(x) = 0.
-40, 2/5, 3
Let h(z) = -4*z**3 + 4395*z**2 - 6447468*z + 3150662723. Let v(p) = -11*p**3 + 13186*p**2 - 19342404*p + 9451988160. Let d(s) = 8*h(s) - 3*v(s). Factor d(o).
(o - 1466)**3
Suppose 2*c = 3*s - 7*s + 2, 3*c + 3 = -4*s. Let p(z) = -6*z**4 + 18*z**3 - 36*z**2 + 30*z - 12. Let i(k) = k**4 + 1. Let n(b) = s*i(b) + p(b). Factor n(t).
-3*(t - 3)*(t - 1)**3
Let f(o) be the first derivative of -7*o**6/4 + 99*o**5/10 + 141*o**4/4 - 114*o**3 - 54*o**2 - 2088. Solve f(y) = 0 for y.
-3, -2/7, 0, 2, 6
Let z(d) be the third derivative of -16*d**7/525 - 347*d**6/100 - 16433*d**5/150 + 5467*d**4/20 + 363*d**3/5 - 10*d**2 + 2*d + 2. Suppose z(c) = 0. Calculate c.
-33, -1/16, 1
Determine f, given that 168*f + 26*f**2 - 46*f**2 - 164 - 13*f**2 + 29*f**2 = 0.
1, 41
Let s = -1102 - -1108. Let g(v) be the second derivative of -13*v + 0*v**2 - 1/6*v**4 + 1/12*v**3 + 0 - 1/30*v**s + 1/8*v**5. Determine i, given that g(i) = 0.
0, 1/2, 1
Let g = 1177 + -1167. Suppose g*p - 244 + 224 = 0. Factor 6/17*n**4 + 0*n - 2/17*n**5 - 8/17*n**p + 0 + 0*n**3.
-2*n**2*(n - 2)**2*(n + 1)/17
Factor 1249*q**3 - 325*q**2 + 5*q**4 + 660*q - 2491*q**3 + 1262*q**3.
5*q*(q - 4)*(q - 3)*(q + 11)
Let v = -481/2014 - -93997/14098. Find x such that 1/7*x**2 + 44/7 - v*x = 0.
1, 44
Factor 332*i - 122 + 132 - 155*i**2 - 187*i.
-5*(i - 1)*(31*i + 2)
Suppose -3*a - 1 = -7. Suppose 0 = 3*f 