
Suppose -2*i - 2*c + 466 - 450 = 0, 0 = -4*c + 20. Factor -8/5 + 8/5*s**2 - 4/5*s + 4/5*s**i.
4*(s - 1)*(s + 1)*(s + 2)/5
Let a be 933/45 - (9 - 36/4). Let q = a + -61/3. What is w in -1/5*w**3 - q*w**2 + 0 - 1/5*w = 0?
-1, 0
Let d be ((-1)/(-10))/(1673/4780). Find u such that -10/7 + 8/7*u + d*u**2 = 0.
-5, 1
Let -6068*y**3 - 376712*y + 14087*y**2 + 2859936 - 5909*y**3 + y**4 + 11779*y**3 - 323*y**2 = 0. What is y?
12, 62
Let b be 305/(-61) - (5 + (-4)/((-32)/(-92))). Factor b*r**3 + 18*r - 9*r**2 - 12.
3*(r - 2)**3/2
Let x(c) be the second derivative of c**5/140 + 209*c**4/21 + 87362*c**3/21 + 1063*c + 1. Solve x(l) = 0.
-418, 0
Let v(z) be the first derivative of 13/9*z**3 + 2/3*z**2 - 4/15*z**5 + 20 - 13/12*z**4 + 0*z. Factor v(s).
-s*(s - 1)*(s + 4)*(4*s + 1)/3
Suppose -3*j = 4*r - 5, r + r = 3*j - 11. Suppose 2*t - 19 = -3*p, -4*p + 37 - 11 = j*t. Factor -v**2 + 7*v**3 + 0*v**4 - p*v**3 - v**4.
-v**2*(v - 1)**2
Let c be (6/57 - 11798/38437)/(9/(-168)). Find h, given that 26/17*h**4 - 96/17*h**3 - 2/17*h**5 + 0 + 8*h**2 - c*h = 0.
0, 1, 2, 8
Factor 0 - 14*l - 13/4*l**3 - 1/4*l**4 - 25/2*l**2.
-l*(l + 2)*(l + 4)*(l + 7)/4
Let j(t) = -1003686*t**4 - 9816*t**3 - 8*t**2 + 8*t - 24. Let i(m) = 334562*m**4 + 3272*m**3 + 2*m**2 - 3*m + 9. Let g(u) = 8*i(u) + 3*j(u). Solve g(h) = 0.
-2/409, 0
Let x = 72287/2 - 36137. Factor -2*d**3 - 19*d - 55/2*d**2 + x.
-(d + 1)*(d + 13)*(4*d - 1)/2
Determine c, given that 71*c**2 - 3*c**2 + 3*c**3 + 1247 - 1523 - 10*c**3 + 215*c = 0.
-23/7, 1, 12
Find g such that -4/9*g**2 - 4*g + 208/9 = 0.
-13, 4
Let k(f) be the first derivative of 27*f**4/14 - 156*f**3/7 + 676*f**2/7 + 237*f - 200. Let v(w) be the first derivative of k(w). Find l, given that v(l) = 0.
26/9
Let d(j) be the second derivative of 13/30*j**5 + 29/12*j**4 + 0 - 1/60*j**6 + 5*j**3 - 13*j**2 + 4*j. Let u(c) be the first derivative of d(c). Factor u(h).
-2*(h - 15)*(h + 1)**2
Let o(c) be the first derivative of 12*c**5/5 - 5*c**4/2 - 14*c**3/3 + 5*c**2 + 2*c + 1449. Factor o(z).
2*(z - 1)**2*(z + 1)*(6*z + 1)
Let c(r) = -r**2 - 50*r - 600. Let u be c(-20). Let n(d) be the second derivative of 0 + u*d**3 - 6*d**2 + 3/20*d**5 - 37*d + 3/4*d**4. Factor n(z).
3*(z - 1)*(z + 2)**2
Let c(a) be the third derivative of a**6/60 - a**5/2 - 84*a**2. Factor c(t).
2*t**2*(t - 15)
Let w be 0 + 37 + 42/(-7). Let d(x) = -x**2 + 36*x - 155. Let r be d(w). Find s, given that 0*s**2 - 4/7*s - 72/7*s**4 + 32/7*s**5 + r + 44/7*s**3 = 0.
-1/4, 0, 1/2, 1
Factor 1143*h**2 - 157089 - 63618*h - 105302*h + 3125736 + 3176502 - 3*h**3 + 23759*h.
-3*(h - 127)**3
Factor 5/2*i**2 + 3/2*i**3 - 2 - 3/2*i - 1/2*i**4.
-(i - 4)*(i - 1)*(i + 1)**2/2
Suppose p = v - 3*p + 149, 2*v = -4*p - 346. Let c be (-18)/(-6) - (-1)/(65/v). Factor -14/13*r - 2/13*r**3 + c + 10/13*r**2.
-2*(r - 3)*(r - 1)**2/13
Let p(r) be the second derivative of r**5/20 + 5*r**4/4 - 59*r**3/3 + 84*r**2 + 801*r - 2. Factor p(x).
(x - 4)*(x - 2)*(x + 21)
Let g(n) = n**2 + 9*n + 4. Suppose 5*h + 5 = -5*s + 2*s, -10 = -2*h. Let v be g(s). Suppose -27*d - 44*d**2 + d**3 - 3*d**4 + 35*d**2 + v*d**3 = 0. Calculate d.
-1, 0, 3
Let u(d) = -d**3 - 25*d**2 + 28*d + 54. Let p be u(-26). Let h(c) be the first derivative of 0*c**p + 2/19*c - 2/57*c**3 + 13. Factor h(a).
-2*(a - 1)*(a + 1)/19
Let j(i) be the second derivative of -i**6/15 - 49*i**5/10 - 575*i**4/6 + 625*i**3/3 + 27*i - 5. Suppose j(b) = 0. Calculate b.
-25, 0, 1
Let c be ((-16077)/46)/((-9)/(-60)). Let z = c - -2334. Factor -972 + 141/4*y**z + 306*y**3 + 1134*y**2 + 3/2*y**5 + 1296*y.
3*(y + 6)**4*(2*y - 1)/4
Let f(t) be the first derivative of -t**4 - 9*t + 1/90*t**6 + 0*t**2 - 1/3*t**3 + 1/30*t**5 - 14. Let i(w) be the third derivative of f(w). Factor i(v).
4*(v - 2)*(v + 3)
Let y = -186 - -192. Suppose 19 + y*x + 15 + 2*x**2 - 30 = 0. Calculate x.
-2, -1
Suppose -27*c + 150 = 3*c. Factor 110*n - 17 - 114*n + 2*n**2 - 4 + c.
2*(n - 4)*(n + 2)
Let j(p) = -6*p**2 - 5*p + 1. Let w(s) = 21*s**2 - 3*s + 2. Let r(q) = 6*j(q) + 3*w(q). Solve r(g) = 0 for g.
4/9, 1
Let z be 1670*3/(-18) + 0 + 1. Let p = z + 278. Suppose 2 + 8/3*t**3 - 8/3*t - p*t**4 - 4/3*t**2 = 0. What is t?
-1, 1, 3
Suppose 16*a + 21 = 4*v + 13*a, 0 = 3*v - a - 7. Suppose 1/6*w**2 + v + 2*w = 0. Calculate w.
-12, 0
Suppose 0 = 4*r + 12, -77*l + 3*r + 19 = -75*l. Let n(c) be the second derivative of 1/20*c**l + 0 - 11/6*c**3 + 3*c**2 + 1/3*c**4 + 10*c. Factor n(g).
(g - 1)**2*(g + 6)
Suppose 7*s + 9 = 10*s. Suppose 0 = s*o - w - 7, -5*o + 0 + 10 = -2*w. Determine x, given that 8*x**3 + o*x**2 - 4*x**3 + 4*x - 8*x**3 - 4*x**4 = 0.
-1, 0, 1
Find o, given that 0 + 4/5*o**2 + 458/15*o = 0.
-229/6, 0
What is g in 55506*g + 2/11*g**3 - 174*g**2 - 5902138 = 0?
319
Suppose 249*r - 105*r - 576 = 0. Let u(o) be the second derivative of 0 + 34*o + 6*o**5 - 5*o**3 - 7/10*o**6 + 0*o**2 - 23/4*o**r. Let u(c) = 0. What is c?
-2/7, 0, 1, 5
Factor 2/9*n**4 - 2/3*n**3 + 8/9 - 10/9*n**2 + 2/3*n.
2*(n - 4)*(n - 1)*(n + 1)**2/9
Factor 0 + 226/3*s + 2/9*s**2.
2*s*(s + 339)/9
Suppose -5*n - 3 + 23 = 0. Determine t so that 53 - 232 - 88*t + 4*t**n + 24*t + 64*t**3 - 77 + 252*t**2 = 0.
-8, -1, 1
Let s = -4187 + 4187. Let u(a) be the first derivative of 67/6*a**4 - 2 + s*a - 42/5*a**5 + 0*a**3 - 4/3*a**2. Find x, given that u(x) = 0.
-2/9, 0, 2/7, 1
Suppose 0 = 11*d + 3*d + 4*d - 486. Let k(n) be the first derivative of -11/12*n**4 - d - 20/9*n**3 + 2/3*n - 7/6*n**2. Factor k(g).
-(g + 1)**2*(11*g - 2)/3
Let -1/2*k**2 + 758*k - 287282 = 0. Calculate k.
758
Let b(y) = 22*y**2 + 12*y - 367. Let l(t) = -7*t**2 + 1. Let r(v) = b(v) + 3*l(v). Let f be r(-26). Factor -2/7*n**5 + 0 + 6/7*n**3 + 4/7*n**2 + f*n + 0*n**4.
-2*n**2*(n - 2)*(n + 1)**2/7
Let c(n) = 20*n**4 - 60*n**3 + 16*n**2 + 24*n + 16. Let o(a) = -a**3 + a + 2. Let k be ((-33)/(-15) + -1)/((-24)/160). Let i(f) = k*o(f) + c(f). Factor i(b).
4*b*(b - 2)*(b - 1)*(5*b + 2)
Let f(p) be the first derivative of 185*p**4/2 + 165*p**3 - 230*p**2 + 60*p - 3712. Determine a, given that f(a) = 0.
-2, 6/37, 1/2
Let y be (-644)/276 - -2*4 - 16/6. Let f(n) be the second derivative of 4/27*n**y + 0 + 15*n - 4/9*n**2 - 1/54*n**4. Factor f(r).
-2*(r - 2)**2/9
Let q(j) be the first derivative of j**4/10 - 238*j**3/15 - 24*j**2 + 1977. Factor q(c).
2*c*(c - 120)*(c + 1)/5
Factor -13/2*k**3 - 37/6*k + 0 + 25/2*k**2 + 1/6*k**4.
k*(k - 37)*(k - 1)**2/6
Let u = -7/9934 - -357701/109274. Suppose 2/11*r**2 + u*r + 162/11 = 0. Calculate r.
-9
What is v in -365*v + 984*v - 6*v**2 - 152 - 491*v - 491*v - 28 = 0?
-60, -1/2
Let d = 199858 + -199834. Let -14/3*p - 6*p**5 - 164/9*p**2 - 4/9 - 32*p**3 - d*p**4 = 0. Calculate p.
-2, -1, -1/3
Suppose 345*n + 48 = 201*n + 152*n. Factor 13/3*z + 5/3*z**2 - n.
(z - 1)*(5*z + 18)/3
Let w be -8*(-17 - (-3820)/224) - (-3)/7. Factor -2/3*x**4 + 4/3*x + 2/3*x**2 + w - 4/3*x**3.
-2*x*(x - 1)*(x + 1)*(x + 2)/3
Let v = -40692 + 40694. Factor 0 + 5/9*l**3 - 2/3*l + 13/9*l**v.
l*(l + 3)*(5*l - 2)/9
Suppose j + 5*x - 2 = 0, 6 = 450*j - 447*j + 3*x. Let d = 2/227 + 1348/1589. Suppose 10/7*f**j + 6/7 + d*f**3 - 22/7*f = 0. What is f?
-3, 1/3, 1
Let y be (-6)/(-14)*((-1256)/(-1099) - 30/112). Let r(v) be the second derivative of 0*v**2 - 17*v + y*v**3 - 1/16*v**4 + 0. Factor r(d).
-3*d*(d - 3)/4
Let y = -146533 + 732666/5. What is j in -1/5*j**5 + 1/5*j**3 + 0 + 0*j - y*j**4 + 1/5*j**2 = 0?
-1, 0, 1
Let q(u) be the first derivative of 2*u**3/33 + 329*u**2/11 + 2600*u/11 + 5552. Factor q(m).
2*(m + 4)*(m + 325)/11
Let q(a) be the third derivative of 0*a**4 - 9*a + 0*a**5 + 0*a**3 - 1/75*a**6 + 0 - 1/840*a**8 + 1/105*a**7 + 20*a**2. Factor q(p).
-2*p**3*(p - 4)*(p - 1)/5
Let d be (2 - 2/4) + (-49)/98. Suppose -v = -o + d, 2*o + 11*v + 2 = 9*v. Factor -2/3*w**2 - 8/3*w + o.
-2*w*(w + 4)/3
Determine h, given that 295*h + 1/4*h**2 + 87025 = 0.
-590
Let c(w) be the first derivative of -2*w**3/9 - 434*w**2 + 3308. Solve c(a) = 0 for a.
-1302, 0
Let v(j) = -85*j**2 - 4735*j + 1402. Let w be v(-56). Factor -92/5*x + 1058/5 + 2/5*x**w.
2*(x - 23)**2/5
Let b(f) = 5*f**3 + 100*f**2 + 35*f + 48. Let d(t) = -39*t**3 - 771*t**2 - 280*t - 385. Let w(r) = -31*b(r) - 4*d(r). Factor w(c).
(c - 13)*(c - 4)*(c + 1)
Let x = -13578 - -40757/3. Suppose 3*v - v**4 + 35/3*v**2 + x*v**3 + 0 = 0