 - 198 + 105*o.
5*(o + 1)*(o + 20)
Let n(g) be the third derivative of -4*g**7/105 - 4*g**6/3 + 179*g**5/30 + 19*g**4/4 - 66*g**3 + 1917*g**2 + 2. Determine a so that n(a) = 0.
-22, -1, 3/2
Factor -38/5*g + 0 - 1/5*g**3 - 21/5*g**2.
-g*(g + 2)*(g + 19)/5
Let t be (388/(-56) - (-4)/(20/35))*(-35)/(-10). Let r be ((-1)/(-5))/((-16)/(-10)). Factor -t*f**4 + 1/8*f**3 + 0*f + r*f**5 + 0*f**2 + 0.
f**3*(f - 1)**2/8
Suppose -33327/4 - 19527/2*s - 73/2*s**3 - 1/4*s**4 - 1468*s**2 = 0. Calculate s.
-69, -7, -1
Find g such that 0 + 794/11*g**3 + 18/11*g**5 + 52/11*g + 366/11*g**2 + 498/11*g**4 = 0.
-26, -1, -1/3, 0
Let k(r) be the first derivative of 28*r**5/5 + 235*r**4 + 7684*r**3/3 - 1734*r**2 + 620. Find w, given that k(w) = 0.
-17, 0, 3/7
Let l = -151 + 170. Factor -l*t**2 - 20 - 20*t**2 + 24*t + 35*t**2.
-4*(t - 5)*(t - 1)
Suppose -5*k - 5*j - 9 + 264 = 0, -j = 3*k - 161. Suppose 38*w = k*w - 34. Factor -3/5*z**w + 9/5*z - 6/5.
-3*(z - 2)*(z - 1)/5
Let w(n) = 4*n**3 - 8*n**2 - 12*n - 3. Let j(p) = -4*p**3 + 8*p**2 + 12*p + 4. Let v(k) = 3*k - 26. Let y be v(10). Let z(l) = y*w(l) + 3*j(l). Factor z(c).
4*c*(c - 3)*(c + 1)
Suppose -8*f + 6*f = -4*q + 18, 5*f = -5. Suppose 0*u = -q*u + 12. Factor -2*i**3 + 8*i**u - 6*i + 9 + 5*i**2 - i**4 - 13*i**2.
-(i - 3)**2*(i - 1)*(i + 1)
Suppose -a + 1592 = -3*h + 4*a, 2*h + 1056 = -2*a. Let x = h + 1589/3. What is w in 4/3*w + 1/3*w**4 - x*w**3 + 4/3 - w**2 = 0?
-1, 2
Let j(g) = 1. Suppose 3 + 0 = -3*h. Let z(q) = 2*q. Let x(a) = a**2 + 7*a - 2. Let p(v) = 2*x(v) - 7*z(v). Let w(k) = h*p(k) - 4*j(k). Factor w(i).
-2*i**2
Suppose 4*n - 6 = 2*n. Suppose 5*p - 4*p - 32 = -n*u, -3*p + u = -126. Solve -135*t**2 + 152*t**3 - 11*t**4 + 32*t - p*t**2 - 25*t**4 = 0 for t.
0, 2/9, 2
Suppose 0 = 204*j - 78*j - 252. Find a, given that -4/3*a**3 + 0 - 4/3*a**j + 4/3*a + 4/3*a**4 = 0.
-1, 0, 1
Factor 1353*k + 1626*k**2 - 2311*k - 3*k**3 - 1435*k - 847*k.
-3*k*(k - 540)*(k - 2)
Determine a, given that 96*a**4 - 373 - 776*a**2 + 144*a**3 + 4*a**5 + 104 - 232 - 291 - 1620*a = 0.
-22, -3, -1, 3
Let s(b) be the second derivative of -b**6/15 - 21*b**5/10 + 47*b**4/6 + 7*b**3 - 46*b**2 - 919*b. Determine d so that s(d) = 0.
-23, -1, 1, 2
Suppose 0 - 1600/17*a - 14/17*a**4 + 556/17*a**3 - 320*a**2 = 0. Calculate a.
-2/7, 0, 20
Let c(n) be the first derivative of n**4 - 220*n**3/3 + 316*n**2 - 416*n - 2024. Factor c(r).
4*(r - 52)*(r - 2)*(r - 1)
Let k be (-14)/20*(-370)/7770. Let c(l) be the third derivative of -9*l**2 + 0 + 0*l - 49/3*l**3 + 7/6*l**4 - k*l**5. Factor c(m).
-2*(m - 7)**2
Let n be (2/2)/(6 + (-44)/8). Let 15*j**3 + 20*j - 10*j**2 + 39*j**2 + 6*j**n = 0. What is j?
-4/3, -1, 0
Let g be 8/(-6)*624/2. Let v = g + 419. Factor 1/6*x**4 + 1/3 - 1/6*x + 1/6*x**v - 1/2*x**2.
(x - 1)**2*(x + 1)*(x + 2)/6
Let r(p) be the first derivative of 19*p**4/8 - p**3/2 - 51*p + 38. Let q(u) be the first derivative of r(u). Factor q(w).
3*w*(19*w - 2)/2
Let q = 55 - -53. Suppose 47 = 31*h - q. Determine b so that -8/3*b**4 + 0 - 2*b**3 + 0*b**2 - 2/3*b**h + 0*b = 0.
-3, -1, 0
Let g = 1065612 + -1065608. Factor 0 + 2/9*q**3 + 4/9*q**2 - 8/9*q - 1/9*q**g.
-q*(q - 2)**2*(q + 2)/9
Suppose -p + g + 0 = -4, -g = p - 8. Let l(a) = -a**3 + 6*a**2 + 5*a - 6. Let k be l(p). Factor 4*o - k*o + 2*o**2 - 4*o + 72.
2*(o - 6)**2
Let j be (-450)/350 + 2034/210. Determine u so that 9*u + 3/5*u**2 + j = 0.
-14, -1
Let n(g) be the first derivative of -1/5*g**3 + 0*g + 33/10*g**2 + 100. Factor n(v).
-3*v*(v - 11)/5
Let w(v) = 3*v**2 - 4094*v - 16420. Let r be w(-4). Factor -27/2*x**5 + 0 - 45/2*x**r - 18*x**2 + 48*x**3 + 0*x.
-3*x**2*(x + 3)*(3*x - 2)**2/2
What is g in -1199 - 2*g**3 + 106*g**2 + 575 + 624 = 0?
0, 53
Let i = 290 + -285. Let n(k) be the second derivative of -2/15*k**6 + 0*k**4 + 0*k**2 + 0 + 0*k**3 + 12*k + 1/5*k**i. Factor n(m).
-4*m**3*(m - 1)
Let s(o) be the third derivative of o**7/525 - o**6/300 - o**5/150 + o**4/60 - 1052*o**2. Solve s(u) = 0.
-1, 0, 1
Let t be 4/(-21)*48/(-32). Suppose -2*q - 20 = -13 - 11. Factor -2/7*j**4 + 0 + 0*j - 2/7*j**5 + 2/7*j**q + t*j**3.
-2*j**2*(j - 1)*(j + 1)**2/7
Let r(b) be the first derivative of -64 + 0*b + 15/7*b**4 + 52/21*b**3 + 8/7*b**2 + 2/21*b**6 + 4/5*b**5. Solve r(z) = 0 for z.
-4, -1, 0
Let z be (2436/(-11368) - 757/126)*24/(-14). Factor -128/3 + 24*v**2 + 2/3*v**4 + z*v + 22/3*v**3.
2*(v - 1)*(v + 4)**3/3
Suppose 1549*x - 26954 - 2477 = 0. Find p such that -1/4*p**2 - 361 - x*p = 0.
-38
Let a(q) be the first derivative of 63/8*q + 7 + 1/8*q**3 + 15/8*q**2. What is t in a(t) = 0?
-7, -3
Let u(h) be the first derivative of -5*h**4/4 + 970*h**3/3 - 2330. Factor u(x).
-5*x**2*(x - 194)
Let y(r) be the first derivative of 9*r**4/28 - 17*r**3/7 - 282*r**2/7 + 396*r/7 + 677. Factor y(h).
3*(h - 11)*(h + 6)*(3*h - 2)/7
Solve -1144/7*c + 2/7*c**2 + 1142/7 = 0 for c.
1, 571
Let g(c) be the second derivative of -c**4/48 + 35*c**3/24 - 27*c**2 - 1075*c. Let g(l) = 0. What is l?
8, 27
Let a(o) = -38*o**2 + 11774*o + 1863. Let n be a(310). Determine h so that 0 + 6/7*h**4 - 4/7*h**2 + 0*h - 2/7*h**n = 0.
-2/3, 0, 1
What is k in -100/9*k - 20/9*k**2 + 4/9*k**3 + 500/9 = 0?
-5, 5
Let g = -438691 - -438694. Let 0 + 0*c + 9/2*c**2 + 49/2*c**4 - 21*c**g = 0. What is c?
0, 3/7
Factor 2/9*u**2 - 1/9*u**3 + 0 - 1/9*u.
-u*(u - 1)**2/9
Let n(r) = r**3 + 471*r**2 - 909*r + 491. Let j(o) = -15*o**3 - 6595*o**2 + 12725*o - 6880. Let i(t) = 6*j(t) + 85*n(t). Let i(z) = 0. Calculate z.
1, 91
Let y(a) be the second derivative of -a**4/42 + 2*a**3/3 + 15*a**2/7 + 798*a. Factor y(d).
-2*(d - 15)*(d + 1)/7
Determine v so that -63 + 71*v - 5*v**2 + 83 + 81*v + 65 - 72*v = 0.
-1, 17
Let m(j) be the first derivative of 63/8*j**2 - 2*j**3 - 27/2*j + 3/16*j**4 - 14. Factor m(k).
3*(k - 3)**2*(k - 2)/4
Determine r, given that -4161600/7*r - 6120/7*r**2 - 3/7*r**3 - 943296000/7 = 0.
-680
Let i = 68 + 72. Factor -448 - 3*p**2 + 147*p - 231*p - i.
-3*(p + 14)**2
Let k(y) = -16 + 24*y + y**2 + 57 + 35 - 3*y**2. Let z(a) = -a**2 + 24*a + 75. Let p(s) = 3*k(s) - 4*z(s). Suppose p(n) = 0. What is n?
-6
Let b be ((-216)/(-15))/(7/60*9). Factor -b*y + 96/7 - 3/7*y**3 + 30/7*y**2.
-3*(y - 4)**2*(y - 2)/7
Let c(p) = 12*p**2 + 16*p - 7. Suppose -l = 2*l + 132. Let v(i) = -4*i**2 - i - 45 + 23 + 3*i**2 + 23. Let h(g) = l*v(g) - 4*c(g). Factor h(a).
-4*(a + 1)*(a + 4)
Let n be 1/((-91)/(-28) - 3). Suppose -5*x = 2*b, n*x = x - 5*b - 19. Factor -2/3*q**3 + 2/3*q + 5/3*q**4 + 0 - 5/3*q**x.
q*(q - 1)*(q + 1)*(5*q - 2)/3
Let u = -265 - -835. Let i = 591 - u. Factor -6 + 3/2*o**2 - i*o + 21/4*o**3.
3*(o - 2)*(o + 2)*(7*o + 2)/4
Let r(i) be the third derivative of 7/60*i**6 + 58*i**2 + 0*i**4 + 0*i**3 + 0*i + 0 + 1/15*i**7 + 1/15*i**5 + 1/84*i**8. Find m such that r(m) = 0.
-2, -1, -1/2, 0
Let q = 23578/295 + -3394/59. Factor -2/5*u**3 - 1674/5*u - q*u**2 - 2916/5.
-2*(u + 2)*(u + 27)**2/5
Let s be (-3)/(-12)*2 + (-24)/(-16). Let a be (2 - 2)/s*38/(-76). Let -3/4*f**3 + 0 - 15/8*f**4 + a*f + 0*f**2 = 0. What is f?
-2/5, 0
Factor 180/11*r**2 - 1162/11*r + 0 - 2/11*r**3.
-2*r*(r - 83)*(r - 7)/11
Let h(g) = -2*g - 4. Let a(w) = -25 + w**2 + 14 - 8*w - 12. Let b(i) = -2*a(i) + 10*h(i). Factor b(u).
-2*(u - 1)*(u + 3)
Let c(h) be the second derivative of -289*h**6/180 - 374*h**5/15 - 4127*h**4/36 - 220*h**3/3 - 75*h**2/4 - 12*h + 10. Determine s so that c(s) = 0.
-5, -3/17
Let l(x) be the first derivative of -x**4 + 160*x**3/3 + 8*x**2 - 640*x + 2408. Factor l(v).
-4*(v - 40)*(v - 2)*(v + 2)
Let a(f) be the first derivative of 9/10*f**4 + 16/5*f - 61 + 4/5*f**3 - 4*f**2. What is r in a(r) = 0?
-2, 2/3
Let o(w) be the second derivative of 25*w**7/168 - 39*w**6/4 - 251*w**5/80 + 63*w**4/4 - 47*w**3/6 + 7502*w. Find g, given that o(g) = 0.
-1, 0, 2/5, 47
Let p be 420/(-49) - 3/(-42)*-6. Let h be ((-6)/21)/(p + 102/12). Solve -3/7*g**4 - 2/7*g + 5/7*g**2 + 0 + h*g**3 = 0.
-1, 0, 1/3, 2
Let w(n) be the third derivative of n**5/12 - 325*n**4/24 + 160*n**3/3 - 1546*n**2. Factor w(b).
5*(b - 64)*(b - 1)
Factor -1/5*u**2 - 1805 + 38*u.
-(u - 95)**2/5
Let h(u) be the first derivative of -17 - 140/9*u**3 + 5/12*u**4 - 50*u - 295/6*u**2. Determine o, given that h(o) = 0.
-1, 30
Suppose -8*u - 8135 = 10457. Let k = u + 2327. Factor 6*r + 3/4*r**5 + 21/4*r**4 +