ppose 1125 = 2*v + 1145. Let n be -1 + (-4)/v + 544/640. Factor 0 + n*p**3 + p**2 + p.
p*(p + 2)**2/4
Let z(p) be the third derivative of -p**7/315 - 11*p**6 + 991*p**5/15 - 1487*p**4/9 + 661*p**3/3 + 10170*p**2. Factor z(a).
-2*(a - 1)**3*(a + 1983)/3
Let p(o) be the third derivative of 0 + 0*o - 67*o**2 - 1/660*o**5 - 6/11*o**3 - 1/22*o**4. Suppose p(j) = 0. Calculate j.
-6
Suppose -52*i - 4860 = -42*i. Let f = i - -488. Let 16/3*l + 32/3 + 2/3*l**f = 0. What is l?
-4
Let h(x) = 35*x - 162. Let y be h(7). Let d = y - 81. Find a such that -2*a**d - 2/3 - 2*a - 2/3*a**3 = 0.
-1
Let l(x) be the third derivative of -x**6/30 - 4*x**5/15 - 5*x**4/6 - 4*x**3/3 - 3509*x**2. Factor l(d).
-4*(d + 1)**2*(d + 2)
Let n(y) = 3*y**2 - 61*y + 17. Let m be n(20). Let h(x) = -4*x**2 + 13*x - 7. Let s(g) = -2*g**2 + 7*g - 3. Let r(p) = m*h(p) + 7*s(p). Factor r(z).
-2*z*(z - 5)
Suppose 0 = 4*r - 5*r + 3*h - 6, 4*h = 8. Suppose 0 = 6*k - r*k + 20*k. Solve k - 3/5*q**5 + 0*q + 4/5*q**2 + 4/5*q**3 - q**4 = 0.
-2, -2/3, 0, 1
Let b(j) be the first derivative of j**4 - 796*j**3/3 - 5222. Let b(l) = 0. Calculate l.
0, 199
Let l(y) be the first derivative of 5*y**3/3 - 165*y**2 - 335*y - 1307. Factor l(x).
5*(x - 67)*(x + 1)
Let d = -91845/38 - -46008/19. Factor 11/6*r**2 - 5/2*r - d - 1/6*r**3.
-(r - 9)*(r - 3)*(r + 1)/6
Let q(d) = -d**3 + d**2 - 5*d - 12. Let u be q(-2). Let a(z) be the third derivative of 4/3*z**3 + 0*z + u*z**2 - 1/6*z**4 - 1/15*z**5 + 0. Factor a(j).
-4*(j - 1)*(j + 2)
Let m be 9581/(-30) + 92/(-690). Let h = m + 320. What is v in -5/4*v**2 + 5/4*v**4 + 0 - 1/2*v**3 + h*v = 0?
-1, 0, 2/5, 1
Let l = 459417/5 - 91478. Let m = l - 405. What is t in -2/15*t - m*t**3 + 0 - 2/15*t**4 - 2/5*t**2 = 0?
-1, 0
Let k(q) be the third derivative of q**5/570 - 73*q**4/114 + 96*q**3/19 + 2*q**2 + 264. Determine w so that k(w) = 0.
2, 144
Factor 0*y - 2/9*y**4 + 304/9*y**2 + 0 + 22/9*y**3.
-2*y**2*(y - 19)*(y + 8)/9
Let b(k) be the third derivative of k**8/2184 + k**7/91 + 77*k**6/780 + 51*k**5/130 + 15*k**4/26 + 2*k**2 + 1148*k. Solve b(y) = 0 for y.
-6, -5, -3, -1, 0
Let a(v) = 5*v - 10. Let l be a(4). Suppose 3*g + 5 = -2*r + 4, -g = -5*r + 40. Solve -2 + r*f**2 + 8*f**2 - 3 - l*f**2 = 0 for f.
-1, 1
Let m be (-989)/207 - 4/(-8)*10. Let h(k) be the first derivative of -12 - 8/9*k - 5/12*k**4 - m*k**2 + 34/27*k**3. Factor h(z).
-(z - 2)*(3*z - 2)*(5*z + 2)/9
Let n(w) be the third derivative of -w**5/30 + 238*w**4/3 - 226576*w**3/3 + 910*w**2. Factor n(l).
-2*(l - 476)**2
Find u, given that -657*u + 197*u - 3*u**2 + 8*u**2 + 611 - 295*u + 1609 = 0.
3, 148
Let 1353/2*j - 11739/4*j**2 + 4833*j**3 - 54 + 48*j**5 - 1860*j**4 = 0. What is j?
1/4, 2, 36
Let y(b) be the first derivative of 7*b**6/33 + 1396*b**5/55 + 17979*b**4/22 + 56840*b**3/33 - 9604*b**2/11 - 1121. Solve y(s) = 0.
-49, -2, 0, 2/7
Let r(s) = s**2 + 30*s - 84. Let g(y) = -30*y + 85. Let z(m) = 3*m - 4. Let x be z(3). Let o(k) = x*r(k) + 4*g(k). Factor o(q).
5*(q - 2)*(q + 8)
Let g(t) be the second derivative of -t**8/560 + 3*t**7/350 - t**6/100 + 34*t**2 + 61*t. Let y(i) be the first derivative of g(i). Factor y(f).
-3*f**3*(f - 2)*(f - 1)/5
Let h be 6 + 84/210*(-4 + (-9)/6*4). Let -87/2 - 42*n + 3/2*n**h = 0. Calculate n.
-1, 29
Let u = 7 + -3. Let y = -90 + 68. Let g(c) = 2*c**2 - 6*c + 2. Let r(v) = 10*v**2 - 30*v + 9. Let l(j) = u*r(j) + y*g(j). Determine q, given that l(q) = 0.
1, 2
Let z(i) = -15*i**3 + 50*i**2 + 25*i - 250. Let l(g) = 13*g**3 - 53*g**2 - 24*g + 252. Let q(r) = -5*l(r) - 4*z(r). Determine f, given that q(f) = 0.
-2, 2, 13
Suppose 0 = c - 6*c + 10. Suppose 0 = -129*t + 132*t - 30. Factor 1 - 7*x**2 + c + t*x**2 - 6*x.
3*(x - 1)**2
Factor 5*d**3 - 58*d**2 + 1082*d - 13413 + 2456*d + 368*d**2 - 8367 + 587*d.
5*(d - 4)*(d + 33)**2
Let v(h) = 7*h - 89. Let a be v(13). Factor -400 + 71*c + 57*c + 12*c**2 + 10*c - 18*c - 5*c**3 + 3*c**a.
-5*(c - 4)**2*(c + 5)
Let o(h) = 5*h**3 + 6*h**2 - 20*h - 44. Let y(w) be the first derivative of w + 0*w**2 + 9 + 1/3*w**3. Let r(q) = o(q) + 4*y(q). Factor r(i).
5*(i - 2)*(i + 2)**2
Let -4/7*r**3 + 88/7*r**2 + 0 + 92/7*r = 0. Calculate r.
-1, 0, 23
Let s(j) be the third derivative of j**7/4620 + j**6/440 + j**5/110 - 5*j**4/4 + 54*j**2. Let d(y) be the second derivative of s(y). What is g in d(g) = 0?
-2, -1
Let c(s) = -536*s - 2142. Let f be c(-4). Factor -2/7*o**f - 2*o + 16/7.
-2*(o - 1)*(o + 8)/7
Suppose 0 = 4*p + 2*c - 18, -5*p + 22*c = 23*c - 15. Determine v, given that -p - 2/7*v**2 - 16/7*v = 0.
-7, -1
Suppose -3/8*x**5 + 912*x + 759/2*x**2 - 153*x**3 - 1152 + 111/8*x**4 = 0. What is x?
-2, 1, 6, 16
Suppose 0 = 3*j - 42 + 12. Suppose -j*z + 14 + 6 = 0. What is m in 0*m + 0*m**z + 2*m**2 - 12*m - 12 - 5*m**2 = 0?
-2
Suppose -2*f - 48 = -14*f. Factor 5 + 4 - 13 + 30*i**3 + f*i**2 - 18*i**3 - 12*i.
4*(i - 1)*(i + 1)*(3*i + 1)
Suppose 216*l - 2242*l = 708*l + 2093 - 7561. Factor -40/3 + 41/3*s - 1/3*s**l.
-(s - 40)*(s - 1)/3
Let a(f) be the third derivative of -3*f**2 - 15 - 1/30*f**5 + 0*f**3 - 11/12*f**4 + 0*f. Suppose a(y) = 0. What is y?
-11, 0
Let y be (-1250)/360*2 + (1 - -6). Let a(p) be the second derivative of -y*p**3 - 1/36*p**4 + p + 0*p**2 + 0. Let a(z) = 0. Calculate z.
-1, 0
Let q(i) be the second derivative of 5/18*i**5 - 1/126*i**7 - 5/18*i**3 + 0*i**2 + 0 - 7/27*i**4 - 171*i - 2/135*i**6. Suppose q(f) = 0. What is f?
-5, -1/3, 0, 1, 3
Factor -444 + 125 + 106*u - 4*u**2 - 101 - 18*u.
-4*(u - 15)*(u - 7)
Let x(w) be the first derivative of -1/3*w**3 + 0*w + 66 - 1/28*w**4 - 3/7*w**2. Find j such that x(j) = 0.
-6, -1, 0
Let w(x) = x**3 + x**2 - x + 1. Suppose 5*c = 2*h + 5, -26*c = -23*c + 4*h - 3. Let y(j) = 8*j**3 - 4*j**2 - 23*j + 29. Let l(p) = c*y(p) - 5*w(p). Factor l(d).
3*(d - 4)*(d - 1)*(d + 2)
Let z(s) = -88*s**2 + 50132*s - 24420. Let t(c) = -8*c**2 + 4561*c - 2220. Let a(g) = 32*t(g) - 3*z(g). Suppose a(k) = 0. What is k?
1/2, 555
Let x(v) = -v**2 - 1 + 394*v - 387*v + 11. Let l be x(8). Factor -2*z + l - 4 + 2*z**2 - 2.
2*(z - 2)*(z + 1)
Let k(w) be the first derivative of w**4/4 + 11*w**3/2 + 36*w**2 - 31*w + 92. Let s(n) be the first derivative of k(n). Find r such that s(r) = 0.
-8, -3
Let f be 68/833*14*(475/(-60) + 8). Factor 2/21 + 2/21*h - f*h**3 - 2/21*h**2.
-2*(h - 1)*(h + 1)**2/21
Let n(x) = 5*x**2 - 8*x + 32. Suppose -26 = 2*z - 18. Let d(b) = 12*b**2 - 15*b + 63. Let o(f) = z*d(f) + 9*n(f). Solve o(w) = 0 for w.
-6, 2
Suppose 4*j - 6 = 4*n - 2, 2*j - 8 = 0. Factor 14*p**n - 57*p**3 + 19*p**3 + 8*p**2 + 23*p**3 - 16*p.
-p*(p - 4)**2
Let h(l) be the second derivative of 8/7*l**2 + 201*l + 0 + 61/21*l**4 + 68/21*l**3 - 27/35*l**6 - 117/70*l**5. Let h(d) = 0. Calculate d.
-2, -2/9, 1
Factor 1/4*g**4 + 0 - 24*g**3 - 459/2*g - 603/4*g**2.
g*(g - 102)*(g + 3)**2/4
Let p be 7774/2028 - ((-2)/12 - 0). Let x be -21 - -28 - (p - 9)*-1. Factor 4/3*v**3 + x - 16/3*v + 2*v**2.
2*(v - 1)*(v + 3)*(2*v - 1)/3
Let j(m) = -53*m - 15. Let k be j(-5). Solve -190*t**2 + 14 - k*t**3 + 160*t - 32*t**4 - 38 - 24*t**4 = 0.
-3, -2, 1/4, 2/7
Let q(t) be the third derivative of -t**6/24 + t**5/12 + 205*t**4/12 + 200*t**3/3 + 1070*t**2. Factor q(h).
-5*(h - 10)*(h + 1)*(h + 8)
Let j(r) be the third derivative of -r**8/448 - r**7/280 + 7*r**6/160 + r**5/80 - 3*r**4/16 + 686*r**2. Suppose j(w) = 0. Calculate w.
-3, -1, 0, 1, 2
Factor -55/4 - 1/4*r**2 + 4*r.
-(r - 11)*(r - 5)/4
Factor 89417090052/5 - 4/5*u**3 + 33804/5*u**2 - 95225868/5*u.
-4*(u - 2817)**3/5
Let s be 8*(0 + (-65)/(-20)). Suppose 2 = -8*t + s. Solve -t*v**3 + 236*v**2 - 481*v**2 + 9 + 236*v**2 + 3*v = 0.
-3, -1, 1
Suppose 141*j + 141 - 314 = 532. Let f(w) be the second derivative of 11*w + 0 - 2/3*w**3 - 8/15*w**6 + 0*w**2 + 0*w**j + w**4. Determine a so that f(a) = 0.
-1, 0, 1/2
Suppose 302 = -2746*o + 2897*o. Factor -68/9*s + 4/9*s**o - 8.
4*(s - 18)*(s + 1)/9
Let i(d) be the second derivative of 25*d**7/504 - 5*d**6/3 + 24*d**5 + 10*d**4/3 - 46*d. Let h(u) be the third derivative of i(u). Solve h(w) = 0 for w.
24/5
Let l(b) = b**2 - 6*b - 3. Let i be l(7). Let r(s) = 54*s**2 + 585*s - 207. Let w(j) = -7*j**2 - 73*j + 26. Let a(y) = i*r(y) + 33*w(y). Factor a(c).
-3*(c + 5)*(5*c - 2)
Let x(g) = -g**3 - 35*g**2 - 48*g - 14. Let b be -6 + 14/7 + 1. Let z(t) = 18*t**2 