 - -1) + -1*5. Let m(t) = -t**2 + 2*t + 2. Let y(s) = l*m(s) - 6*p(s). Factor y(g).
-(g - 4)*(g + 2)
Factor 121203*f - 603/2*f**2 + 1/4*f**3 - 16241202.
(f - 402)**3/4
Let i(q) = -17*q**3 - 29*q**2 + 82*q + 243. Let m(z) = -63*z**3 - 115*z**2 + 326*z + 971. Let h(o) = -22*i(o) + 6*m(o). Factor h(r).
-4*(r - 4)*(r + 2)*(r + 15)
Let r be -7 - 65/(-9) - 2660/(-18). Let w = -146 + r. Factor -1/3*l - 1/3*l**3 + 0 + 2/3*l**w.
-l*(l - 1)**2/3
Let 25*h**3 + 1650*h - 2178 - 757/2*h**2 - 1/2*h**4 = 0. Calculate h.
3, 22
Let u = 214925/56 + -30699/8. Let -12/7*i**5 - 32/7*i - 16/7 + 44/7*i**3 + u*i**4 + 12/7*i**2 = 0. What is i?
-1, -2/3, 1, 2
Let p(x) be the first derivative of x**7/490 - x**6/35 + 4*x**5/35 - 55*x**2/2 + 36. Let f(r) be the second derivative of p(r). Factor f(k).
3*k**2*(k - 4)**2/7
Let y be 2*(-2)/(-10) + 711/(-15). Let i = y + 51. Factor i*o**3 - 4*o**2 + 6 + 8*o**2 + 12*o + 8*o**2 - 2.
4*(o + 1)**3
Factor -133/3*n + 44 + 1/3*n**2.
(n - 132)*(n - 1)/3
Let s = 728 + -684. Suppose 0 = s*f - 43*f + 3*z - 14, 3*f - z - 2 = 0. Factor 1/2*p**f + 0*p - 1/2.
(p - 1)*(p + 1)/2
Factor -111078/7*q - 32660*q**3 - 3458*q**4 - 98*q**5 - 15606/7 - 267804/7*q**2.
-2*(q + 17)**2*(7*q + 3)**3/7
Let h(n) be the third derivative of n**5/30 - 229*n**4/6 - 153*n**3 - 231*n**2. Factor h(w).
2*(w - 459)*(w + 1)
Suppose 3*b - 3050 = -5*y - 3043, -3*y = -4*b - 10. Factor 40/3 - 13/3*s + 1/3*s**y.
(s - 8)*(s - 5)/3
Suppose 5*v + 2*f - 6 = 0, -22 + 4 = -5*v + 4*f. Factor -v + 2 - 5*u**2 + 24*u + 3*u**2.
-2*u*(u - 12)
Suppose -9 - 1 = -j. Suppose -98*n - n = -297. Factor 7*d - 5*d**n - 15*d**2 - j*d - 5 - 12*d.
-5*(d + 1)**3
Suppose -17 = -5*a - 7. Factor 31 + 3*n**a - 13 - 18 + 12*n.
3*n*(n + 4)
Let g(z) be the second derivative of -z**5/20 - 3*z**4/4 + 8*z**3 - 26*z**2 + 2083*z. Factor g(f).
-(f - 2)**2*(f + 13)
Let x(m) be the first derivative of -m**6/60 - 2*m**5/5 + 93*m**2/2 - 122. Let i(k) be the second derivative of x(k). Determine o so that i(o) = 0.
-12, 0
Let r(m) be the third derivative of 0*m**4 + 0*m + 1/15*m**3 - 1/150*m**5 + 3 + 2*m**2. Factor r(p).
-2*(p - 1)*(p + 1)/5
Let d(x) be the first derivative of x**6/24 - 10*x**5/3 + 385*x**4/24 - 95*x**3/3 + 105*x**2 - 237. Let r(a) be the second derivative of d(a). Factor r(w).
5*(w - 38)*(w - 1)**2
Let l(y) be the third derivative of -y**8/2240 - y**4/6 - y**3 - 4*y**2 + 2*y. Let o(a) be the second derivative of l(a). Factor o(v).
-3*v**3
Let j be (-2*2*(-7)/(-56))/(791/(-452)). Determine g so that j*g**2 - 2*g + 0 = 0.
0, 7
Let v(b) be the first derivative of -4*b**4 + 2354*b**3/3 + 1037*b**2 - 296*b - 7992. Solve v(o) = 0.
-1, 1/8, 148
Suppose 0 = 2*k + f - 40, -k + 26 = 5*f - 3*f. Let d be (-8)/k + (-2852)/(-3906). Suppose d*m**2 + 6/7*m + 4/7 = 0. What is m?
-2, -1
Suppose 42*y - 2524 + 4822 = 2466. Factor -2/17*s**y + 6/17*s**2 + 0 + 0*s**3 + 4/17*s.
-2*s*(s - 2)*(s + 1)**2/17
Let c(j) be the first derivative of 2*j**3/15 + 34*j**2/5 - 144*j/5 + 11950. What is h in c(h) = 0?
-36, 2
Let s(w) be the second derivative of w**6/66 + 49*w**5/220 - 5*w**4/66 + 8*w - 63. Solve s(v) = 0.
-10, 0, 1/5
Let o(u) be the second derivative of -128*u - 3/2*u**5 + 0*u**2 + 0 - 25/12*u**4 - 1/6*u**6 + 0*u**3. Find x, given that o(x) = 0.
-5, -1, 0
Let t(f) be the first derivative of -40 - 44/7*f**2 - 8/21*f - 242/7*f**3. Find n such that t(n) = 0.
-2/33
Let q(l) = 131*l**2 - 2324*l - 17052. Let j(m) = -169*m**2 + 3100*m + 22736. Let s(d) = -7*j(d) - 9*q(d). What is f in s(f) = 0?
-7, 203
Let v(o) be the third derivative of o**6/600 + 173*o**5/300 + 43*o**4/30 - 579*o**2 - 2*o. Factor v(d).
d*(d + 1)*(d + 172)/5
Let z = -28 - -91. Let f be 0/(4 + -2) - -2. Factor -g**f + 4 + z*g - 63*g.
-(g - 2)*(g + 2)
Factor -1987*p + 4763*p + 65*p**2 - 69*p**2 + 4572*p.
-4*p*(p - 1837)
Let a(d) be the first derivative of d**6/9 + 5*d**5/3 - 3*d**4/2 - 67*d**3/9 - 13*d**2/3 + 8602. Determine s so that a(s) = 0.
-13, -1, -1/2, 0, 2
Let g(i) be the second derivative of 7/65*i**5 + 3*i + 0 - 112/39*i**3 + 64/13*i**2 + 11/26*i**4 + 1/195*i**6. Factor g(o).
2*(o - 1)**2*(o + 8)**2/13
Let t(n) be the first derivative of 2*n**3/27 + 202*n**2/9 + 20402*n/9 + 556. Suppose t(j) = 0. What is j?
-101
Let d(t) be the second derivative of 37/18*t**4 + 11/3*t**2 - 1 + 1/10*t**5 - 4*t + 5*t**3. Factor d(o).
2*(o + 1)*(o + 11)*(3*o + 1)/3
Let f(r) be the first derivative of -3*r**4/22 + 380*r**3/33 + 128*r**2/11 - 10635. Factor f(k).
-2*k*(k - 64)*(3*k + 2)/11
Let p be (-4)/42*-7*-3. Let d(t) = -2*t**5 + 6*t**4 + 2*t**3 + 8*t**2 - 14. Let z(w) = -w**2 + 1. Let m(y) = p*d(y) - 44*z(y). Suppose m(j) = 0. What is j?
-1, 1, 2
Let c(f) be the second derivative of 1/15*f**6 - 1/6*f**4 + 0*f**2 + 14*f - 1/6*f**3 + 1/42*f**7 + 3 + 0*f**5. Suppose c(w) = 0. What is w?
-1, 0, 1
Factor 23564 - 312*g - 23564 - 157*g - 237*g - 2*g**2.
-2*g*(g + 353)
Solve 132*f**2 - 26*f**2 + 6380*f**3 - f**5 - 104*f**4 - 2626*f**2 - 7196*f**3 - 2700*f - 3*f**5 = 0 for f.
-15, -5, -3, 0
Let p = -5306 - -5318. Let q(x) be the first derivative of -p*x - 13 - 5*x**2 - 2/3*x**3. Factor q(m).
-2*(m + 2)*(m + 3)
Let b(l) be the second derivative of 8*l**7/7 + 51356*l**6/5 + 659308323*l**5/20 + 39173900005*l**4 - 39194506600*l**3 + 14700516000*l**2 + 4026*l. Factor b(s).
3*(s + 2140)**3*(4*s - 1)**2
Factor 6865 + 1686*i**3 + 378 + 8379*i**2 + 3*i**4 + 8957*i + 0*i**4 - 559 + 4423*i.
3*(i + 1)*(i + 2)**2*(i + 557)
Suppose 4*l - 15*l + 880 = 0. Solve 13*f + 5*f**4 - 30*f - 83*f - 5*f**3 - l*f**2 = 0.
-2, 0, 5
Let s(o) be the first derivative of -o**6/15 + 11*o**5/10 - 3*o**4/2 - 11*o**3/3 + 10*o**2 - 81*o + 71. Let q(l) be the first derivative of s(l). Factor q(y).
-2*(y - 10)*(y - 1)**2*(y + 1)
Let o(a) = a - 6. Let j(r) = 3*r**2 + 692*r + 39663. Let s(q) = -j(q) + 2*o(q). Suppose s(w) = 0. Calculate w.
-115
Let s(k) be the second derivative of k**6/135 + 7*k**5/30 + 76*k**4/27 + 140*k**3/9 + 32*k**2 - 4*k - 161. Let s(a) = 0. Calculate a.
-8, -6, -1
Factor 24/7*v - 64/21*v**2 + 10/21*v**3 + 0 + 2/21*v**4.
2*v*(v - 2)**2*(v + 9)/21
Let a be 24 + (-140)/10 + -10. Let x(p) be the first derivative of 2/9*p**3 - 15 + 0*p - 2/5*p**5 + a*p**4 + 2/9*p**6 + 0*p**2. Factor x(c).
2*c**2*(c - 1)**2*(2*c + 1)/3
Let q be (-905)/(-75) - (29 - 34/2). Let l(x) be the second derivative of -q*x**6 + 3/10*x**5 - x**3 + 0 - 19*x - x**2 - 1/24*x**4. Let l(y) = 0. Calculate y.
-1/2, 2
Suppose 23*n = 26*n - 9. Determine q so that -96*q + 96 - 21*q**2 + 3*q**2 - 16*q**3 + 3*q**4 + 31*q**n = 0.
-4, 1, 2
Suppose -6*a**5 - 816*a**3 - 4*a**5 - a**5 - 824*a**2 - 157*a + 15*a**5 - 264*a**4 - 119*a = 0. Calculate a.
-1, 0, 69
Let v(n) be the second derivative of -n**4/36 - 35*n**3/3 - 412*n**2/3 - 3449*n. Factor v(j).
-(j + 4)*(j + 206)/3
Let h = 23 + -20. Let p(f) = f**2 + f + 1. Let g(n) be the second derivative of 2*n**4/3 + 3*n**3 + 17*n**2/2 - 42*n. Let w(q) = h*g(q) - 21*p(q). Factor w(k).
3*(k + 1)*(k + 10)
Let v be ((-2302)/17265)/((-2)/40). Solve v*h - 4/3 + 1/3*h**4 - h**2 - 2/3*h**3 = 0.
-2, 1, 2
Let r = 90661092/77 - 1177433. Let a = r - -191/11. Factor 12/7*c**3 - 8/7*c**2 + 2/7*c**5 + 0 - a*c**4 + 2/7*c.
2*c*(c - 1)**4/7
Let j(b) be the third derivative of 0 + 1/1080*b**6 - 1/216*b**4 + 11/540*b**5 + 0*b - 60*b**2 - 11/54*b**3. What is a in j(a) = 0?
-11, -1, 1
Let b(p) = 31*p**2 + 296*p - 255. Let m(t) = -28*t**2 - 296*t + 260. Let o(u) = 8*b(u) + 9*m(u). Factor o(x).
-4*(x - 1)*(x + 75)
Suppose -974*k + 4*v = -972*k - 36, 0 = 4*k - 3*v - 37. Let 11/5*y - 3/5 - 2/5*y**2 + 3/5*y**5 + y**k - 14/5*y**3 = 0. What is y?
-3, -1, 1/3, 1
Suppose -z - 4*b + 52 = 0, -20*b = 3*z - 6*b - 176. Determine m, given that -5/3*m - z + 1/3*m**2 = 0.
-4, 9
Solve 592/11*l**2 - 10/11*l**5 - 128/11*l**3 - 126/11*l**4 + 672/11*l - 32 = 0.
-11, -2, 2/5, 2
Let x(i) be the second derivative of 3*i**7/14 - 11*i**6/10 + 3*i**5/10 + 7*i**4/2 - 5*i**3/2 - 9*i**2/2 + 659*i. Suppose x(o) = 0. Calculate o.
-1, -1/3, 1, 3
Let q be 0/(-18*4/(-360)*-10). Factor -3/8*c**3 - 3/4*c**2 + q + 0*c.
-3*c**2*(c + 2)/8
Suppose 3*u - 22 + 13 = 0, -a + 179 = -3*u. Let q = a - 186. Let 0*g + 2/19*g**q + 0 = 0. What is g?
0
Let j(u) be the third derivative of -u**8/168 + 26*u**7/35 + 1123*u**6/60 + 2674*u**5/15 + 844*u**4 + 5824*u**3/3 - u**2 