tive of 0*f + w*f**6 - 8*f**2 + 0 + 5/12*f**5 + 5/2*f**3 + 35/24*f**4. Factor n(s).
5*(s + 1)**2*(s + 3)
Factor 22/5*i**2 + 2/5*i**3 + 48/5*i + 0.
2*i*(i + 3)*(i + 8)/5
Let y(r) be the third derivative of 152*r**2 + 0*r - 1/8*r**6 + 0 + 1/210*r**7 - 1/60*r**5 + 0*r**3 + 5/8*r**4. Let y(s) = 0. Calculate s.
-1, 0, 1, 15
Let k(x) = -3*x**3 + 21*x**2 - 18*x + 3. Let z(v) = 6*v**3 - 40*v**2 + 36*v - 5. Let r = -158 - -161. Let c(m) = r*z(m) + 5*k(m). Solve c(i) = 0 for i.
0, 2, 3
Let a(z) = 1597*z**5 - 10*z**4 + 3*z**4 - 1592*z**5 + 30 - 10*z**2 + 65*z - 3*z**4. Let d(n) = n**3 - n**2. Let r(l) = -a(l) + 30*d(l). Factor r(w).
-5*(w - 3)*(w - 2)*(w + 1)**3
Suppose -788*b + 8 = -787*b. Let g be 1 + (1 - b) - 40/(-6). Factor g + 5/6*s**2 + 4/3*s + 1/6*s**3.
(s + 1)*(s + 2)**2/6
Let l(j) = -57*j + 133. Let s be l(2). Suppose -21 - c**2 - 9 - 43*c - 12 - 19*c + s*c = 0. Calculate c.
-42, -1
Let i be (-99)/30635*(-25)/15. Let c = 563/1114 - i. Determine y, given that -c*y**2 + 2*y - 3/2 = 0.
1, 3
Let k(y) = 18*y + 166. Let m be k(-9). Let h(a) be the third derivative of 0 + 0*a + 1/15*a**6 - 1/15*a**5 + 0*a**m - 9*a**2 + 2/35*a**7 + 0*a**3. Factor h(g).
4*g**2*(g + 1)*(3*g - 1)
Let m(i) be the first derivative of -i**3 + 153*i**2 + 309*i + 2181. Factor m(y).
-3*(y - 103)*(y + 1)
Let a(d) = -6*d**4 - 60*d**3 - 336*d**2 + 48*d + 342. Let x(s) = 7*s**4 + 62*s**3 + 336*s**2 - 47*s - 343. Let v(j) = -5*a(j) - 4*x(j). Factor v(t).
2*(t - 1)*(t + 1)*(t + 13)**2
Let o be (16 - 840/50)*(1 - 1266/36). Suppose 2*c**2 + o*c - 28/3 = 0. What is c?
-14, 1/3
Let q = 1123062/5 - 224606. Suppose 16/5*f**3 + 64/5*f + q + 48/5*f**2 + 2/5*f**4 = 0. What is f?
-2
Suppose 0 = g + a - 6, 41*g - 43*g - 8 = -2*a. Let o(z) = 32*z**3 - 60*z**2 + 16*z + 60. Let x(k) = k**3 - k + 3. Let m(q) = g*o(q) - 16*x(q). Factor m(l).
4*(l - 3)*(l - 1)*(4*l + 1)
Let q(k) be the first derivative of -k**8/504 + k**6/90 - k**4/36 - 45*k**2/2 + 35. Let m(y) be the second derivative of q(y). Factor m(l).
-2*l*(l - 1)**2*(l + 1)**2/3
Suppose -4*g + 19 = b, g + 0*b + 3*b = -9. Suppose -2 = -4*c + g. Suppose -4*a**c - 1 + 12*a - 3 - 2 - 2 = 0. Calculate a.
1, 2
Suppose -2*i + 2 = 3*m + 5, 4*i + 4*m = 4. Suppose 3*w - w = 2*y - 10, 5*w + 16 = 2*y. Let 4*f + i*f**4 + 18*f**2 + 1 + 4*f**4 - 1 + 24*f**y = 0. Calculate f.
-1, -2/5, 0
Let k(t) be the third derivative of 2*t**3 + 0*t - 1/15*t**5 - 1/3*t**4 + 1 + 23*t**2. Factor k(x).
-4*(x - 1)*(x + 3)
Let a(d) = -3*d**2 + 1149*d - 3429. Let n(l) = 11*l**2 - 3448*l + 10275. Let r(p) = -10*a(p) - 3*n(p). Determine m so that r(m) = 0.
-385, 3
Let l(v) = -2*v**2 + 15*v + 111. Suppose -9*q + 14*q + 43 = 4*n, -2*n - q = -25. Let i be l(n). Factor 0 + 0*h + 1/4*h**4 - 1/4*h**i - 1/4*h**2 + 1/4*h**5.
h**2*(h - 1)*(h + 1)**2/4
Let l(u) be the first derivative of u**5/5 - 19*u**4/4 + 34*u**3/3 - 11499. Factor l(x).
x**2*(x - 17)*(x - 2)
Suppose -t + 2*t + 13 = 3*b, -25 = -5*b + 5*t. Solve -4*r**2 + 187*r**4 - r + 0*r**3 - 2*r**5 + 2 + b*r**3 - 185*r**4 - r = 0.
-1, 1
Let y = 77931 - 77911. Determine k so that 55*k**3 + y*k + 0 + 15*k**4 - 5/3*k**5 + 175/3*k**2 = 0.
-1, 0, 12
Let a(b) = 8*b**3 + 3*b**2 + b - 1. Let i(l) = -53*l**3 + 3531*l**2 - 7*l + 7. Let o(m) = 7*a(m) + i(m). Factor o(p).
3*p**2*(p + 1184)
Let n = 67 - 61. Factor -n + 10*x**3 - 41*x - 32*x**2 + 67*x + 2.
2*(x - 2)*(x - 1)*(5*x - 1)
Let s(k) = -137 + 2*k - 5*k + 137. Let z(n) = -5*n**2 - 21*n. Let r(w) = -3*w**2 - 11*w. Let u(h) = 7*r(h) - 4*z(h). Let q(m) = 5*s(m) + 3*u(m). Factor q(p).
-3*p*(p - 2)
Let m(c) be the first derivative of c**6/9 + 8*c**5/15 + 2*c**4/3 - 534. Factor m(r).
2*r**3*(r + 2)**2/3
Let d(x) be the third derivative of x**5/100 - 639*x**4/20 + 408321*x**3/10 - 266*x**2. Let d(b) = 0. What is b?
639
Suppose 94693*a = j + 94690*a - 47, -a = -2*j + 19. Factor 0 - 2/13*z**3 - 20/13*z**j + 22/13*z.
-2*z*(z - 1)*(z + 11)/13
Let f = 226 + 182. Let i = 2867/7 - f. Factor 36/7 + 24/7*o + 1/7*o**3 - i*o**2.
(o - 6)**2*(o + 1)/7
Let x = 1190 + -1152. Let o be x/(-4) + (-51 - -56) - -6. Factor 9 + o*j**2 - 21/2*j.
3*(j - 6)*(j - 1)/2
Let s be (-3 - -10*8/100) + 10 + -7. Let 3/5*j + s*j**2 + 0 + 1/5*j**3 = 0. Calculate j.
-3, -1, 0
Let x be 6/4*(-5 + 7). Let b = 68 + -65. Factor -12*v - 11*v + b*v**3 + x*v**2 + 3*v**2 + 14*v.
3*v*(v - 1)*(v + 3)
Solve -30*u - 89/3 - 1/3*u**2 = 0 for u.
-89, -1
Let h = 35 - 31. Suppose h*a - 18 = -10. Factor 12*o**3 - 8*o**3 - 2*o**4 - 4*o + 7*o**a - 5*o**2.
-2*o*(o - 2)*(o - 1)*(o + 1)
Factor 9*c**3 + 50*c**2 + 1/2*c**4 - 245/2 + 63*c.
(c - 1)*(c + 5)*(c + 7)**2/2
Let j = 969983 + -4849881/5. Factor 324/5 + 253/5*n**2 - 612/5*n + 1/5*n**4 + j*n**3.
(n - 1)**2*(n + 18)**2/5
Suppose 3*i + 12 = 0, -4*p + 2 = -3*i - 22. Find s, given that 93*s**2 - 1309 + 395*s + p*s**3 + 1984 + 370*s = 0.
-15, -1
Suppose 4*t + t - 6 = y, 3*t + 3*y = 18. Let p(v) = 6*v**3 - 17*v**2 - 19*v + 48. Let d be p(3). Factor z**4 + 1/4*z**5 - z**t + 1/2*z**3 + d - 3/4*z.
z*(z - 1)*(z + 1)**2*(z + 3)/4
Factor 56*o**3 - 921*o**4 + 1823*o**4 + 136*o - 906*o**4 + 196*o**2.
-4*o*(o - 17)*(o + 1)*(o + 2)
Let h(t) = 11*t - 107. Let g be h(10). What is z in 367 - 2*z**5 + 4*z**2 - 8*z**g - 371 + 6*z + 4*z**5 = 0?
-2, -1, 1
Let m(x) be the first derivative of x**6/60 + x**5/5 + 7*x**4/8 + 3*x**3/2 - 116*x + 55. Let v(b) be the first derivative of m(b). Suppose v(a) = 0. What is a?
-3, -2, 0
Factor -1/6 + 1/2*b**4 - 2/3*b**3 - 1/3*b**2 + 2/3*b.
(b - 1)**2*(b + 1)*(3*b - 1)/6
Suppose -40 = -28*f + 23*f - 5*a, -8 = 5*f - 3*a. Let m(y) be the first derivative of -12 - 8/11*y - 5/11*y**f - 2/33*y**3. Let m(q) = 0. Calculate q.
-4, -1
Let n be 10 - 8 - (-54)/(-30). Let m = 29 + -26. Find j, given that 0*j**m + n*j**4 - 2/5*j - 3/5*j**2 + 0 = 0.
-1, 0, 2
Let c be -2 + 4 - (-544)/40. Let l = c + -46/5. Factor 4*n**2 - l*n - 16/5.
4*(n - 2)*(5*n + 2)/5
Let v be (-8)/(-20) + (-247)/(-26)*4/30. Let z(u) be the second derivative of v*u**3 - 2/3*u**4 + 0 - 2*u**2 + 21*u + 1/10*u**5. Factor z(c).
2*(c - 2)*(c - 1)**2
Suppose 0 = 4*k - 7*k + 6. Suppose k*n = -4*c, -n - 5*c + 0*c = 9. Factor -3*g**4 - 13*g + 9*g**2 + n + 6*g + 44*g**3 - 8*g - 41*g**3.
-3*(g - 1)**3*(g + 2)
Let z = 688/385 + -382/231. Factor 4/15 - 4/15*n**2 + 2/15*n**3 - z*n.
2*(n - 2)*(n - 1)*(n + 1)/15
Let u(m) = m**4 - 88*m**3 + 1752*m**2 + 8098*m + 8462. Let l(o) = -3*o**4 + 264*o**3 - 5256*o**2 - 24295*o - 25385. Let t(x) = 2*l(x) + 7*u(x). Solve t(q) = 0.
-2, 46
Let i(y) be the third derivative of 11/600*y**6 - 11/300*y**5 + 0*y - 1/350*y**7 + 1/120*y**4 - 78*y**2 + 1/15*y**3 + 0. Let i(k) = 0. Calculate k.
-1/3, 1, 2
Factor -14/3*h**2 + 4/3*h**3 + 2/3*h**4 - 8 - 40/3*h.
2*(h - 3)*(h + 1)*(h + 2)**2/3
Let m(g) be the third derivative of -g**5/4 + 605*g**4/12 - 400*g**3/3 - 1267*g**2. What is u in m(u) = 0?
2/3, 80
Let o = 90750 - 90718. Suppose -31/2*f**2 + o + f**3 + 56*f = 0. What is f?
-1/2, 8
Find y such that 47*y**2 - 58*y + 28*y**2 - 80*y - 387 + 51*y**2 - 129*y**2 = 0.
-43, -3
Let y(v) be the first derivative of -v**6/180 - v**5/6 - 2*v**3/3 - 26*v**2 - 70. Let s(d) be the third derivative of y(d). Determine z, given that s(z) = 0.
-10, 0
Let v(y) be the first derivative of -294*y**2 - 31 - 1 + 28*y**3 + 9 - 39 - y**4 + 1372*y. Suppose v(r) = 0. What is r?
7
Let p(o) = -o**4 - 74*o**3 - 171*o**2 - 106*o - 8. Let g(i) = 75*i**3 + 170*i**2 + 105*i + 10. Let m(j) = -4*g(j) - 5*p(j). Let m(v) = 0. What is v?
-11, -2, -1, 0
Factor 119/3*h + 116 + 1/3*h**2.
(h + 3)*(h + 116)/3
Let c(i) be the second derivative of -i**7/126 - 2*i**6/45 + i**5/15 + 11*i**4/18 - i**3/6 - 3*i**2 - 1045*i. Find b such that c(b) = 0.
-3, -1, 1, 2
Suppose -k - 5 = 0, 3*k - 12 = 4*g - k. Let t be g/(-40) + 2/15. Factor 48 + 8*j + t*j**2.
(j + 12)**2/3
Suppose -2*t = -f + 79, 6*f + t - 73 = 5*f. Let n be 18/f*35/21. Factor 0*i + 0 + 0*i**2 - n*i**4 - 1/10*i**3.
-i**3*(4*i + 1)/10
Let q be 12*1/14*1. Let d be (3/196)/((-12)/(-630)) + 1 + (-44)/32. Factor -d*g**2 + q*g + 0.
-3*g*(g - 2)/7
Let a(p) be the first derivative of -p**4/102 - 8*p**3/51 + 101*p + 53. Let h(c) be the first derivative of a(c). Factor h(j).
-2*j*(j + 8)/17
Suppose 0*h + 0 - 384*h**2 - 2/9*h**5 - 8*h**4 - 96*h**3 = 0. Calculate h.
-12, 0
Suppose -17*f + 1697 = -3352. What is i in 5*i**5 -