)*(n + 262)**3
Let h(l) = 9*l**2 + 67*l + 4. Let y be h(-8). Suppose 73*x = 248 + y. Factor -5/2*r**3 - 5/3*r**x + 0*r + 5/3*r**2 + 0.
-5*r**2*(r + 2)*(2*r - 1)/6
Factor -166 + 78871*p**4 + 1066 + 14*p**3 - 78873*p**4 + 46*p**2 - 510*p.
-2*(p - 5)**2*(p - 3)*(p + 6)
Let n(m) = 177*m**3 + 3315*m**2 + 19044*m + 36498. Let a(z) = -5*z**3 + z**2 - 1. Let y(q) = -3*a(q) + n(q). Let y(h) = 0. What is h?
-23/4
Let b be -1*(-4)/(-8)*2. Let c be b/(-3) + 64/24. Solve 6*z**2 + 14*z - 18*z**3 + 6*z**2 + c*z**5 - 3*z**4 + 10*z = 0 for z.
-2, -1, 0, 2
Factor -1528/11*c - 2/11*c**2 - 291848/11.
-2*(c + 382)**2/11
Let c(a) = 7*a**2 - 36*a + 12. Let d(y) be the second derivative of 5*y**4/4 - 12*y**3 + 27*y**2/2 - 59*y. Let h(z) = -9*c(z) + 4*d(z). Factor h(q).
-3*q*(q - 12)
Let i(y) be the second derivative of 9*y**5/80 + 143*y**4 + 437007*y**3/8 + 435483*y**2/4 - 2007*y - 1. Factor i(s).
3*(s + 381)**2*(3*s + 2)/4
Suppose 9351 + 5589 + 1537*k**2 - 4*k**3 + 147*k**2 - 9996*k = 0. Calculate k.
3, 415
Suppose -7 = -4*g + 13. Suppose -4*b = b - c - 30, -g = c. Determine w so that 25 + 34*w - 62*w + 8*w - b*w**2 = 0.
-5, 1
Factor -83/3*w**4 + 1808/3*w + 4/3*w**5 + 201*w**3 - 1828/3*w**2 + 192.
(w - 9)*(w - 4)**3*(4*w + 1)/3
Let p(s) be the first derivative of 75 - 189/4*s**4 + 111*s**3 - 96*s**2 + 36*s. Factor p(a).
-3*(3*a - 2)**2*(7*a - 3)
Let s(t) be the first derivative of 69/2*t**2 - 42*t - 10*t**3 + 93 + 3/4*t**4. Let s(a) = 0. Calculate a.
1, 2, 7
Let h be (-1560)/5980 + (9 - (-3700367)/4807). Factor -2/19*n**2 + 344/19*n - h.
-2*(n - 86)**2/19
Suppose 0 = -11*i + 4 + 7. Let k be i/((-3)/(-175 + -2)). Let -k*f - 60*f**5 - 111*f**4 - 17*f**3 - 19*f**3 + 65*f + 21*f**2 = 0. What is f?
-1, -1/4, 0, 2/5
Let x(a) be the first derivative of -a**5/40 - 3*a**4/16 - 11*a**3/24 - 3*a**2/8 - 1069. Find t, given that x(t) = 0.
-3, -2, -1, 0
Let i = 723198/5 + -144638. Find h, given that -2/5*h**2 - 2/5*h**3 + 8/5 + i*h = 0.
-2, -1, 2
Let u(z) be the third derivative of -z**7/1470 + z**6/30 - 47*z**5/420 - 17*z**4/21 + 26*z**3/7 - 52*z**2 + 17*z. Suppose u(s) = 0. What is s?
-2, 1, 3, 26
Let l(z) = -14*z**3 + 193*z**2 + 297*z + 6. Let h(a) = -2*a**3 - a**2 - a + 1. Let y(f) = -6*h(f) + l(f). What is w in y(w) = 0?
-3/2, 0, 101
Let y(c) be the second derivative of -6*c + 1/22*c**4 - 1/110*c**5 - 2 - 8/11*c**2 + 2/11*c**3. Find r, given that y(r) = 0.
-2, 1, 4
Suppose -308*l - 2/7*l**2 - 83006 = 0. Calculate l.
-539
Let u(m) be the second derivative of -1/3*m**3 - 48*m + 0 + 1/12*m**4 - 3/2*m**2. Let u(t) = 0. Calculate t.
-1, 3
Factor 21*a**3 - 1404 - 15*a**3 + 1404 - 8*a**3 - 6*a**2 + 6*a**4 + 2*a**5.
2*a**2*(a - 1)*(a + 1)*(a + 3)
Let v(h) be the first derivative of 2*h**3/27 + 127*h**2/9 - 260*h/3 + 532. Solve v(b) = 0 for b.
-130, 3
Suppose 29/2*r**3 + 6*r**2 + 21/4*r**4 + 1/2*r**5 + 0 + 0*r = 0. Calculate r.
-6, -4, -1/2, 0
Let o be (3/(-9))/(148/(-36) - -4). Let -56*k**o + 256*k**2 + 4 - 4 - 874*k + 6*k**4 - 2*k**4 + 490*k = 0. What is k?
0, 4, 6
Let l(c) be the first derivative of -2/45*c**3 - 37 - 8/3*c**2 + 82/15*c. Determine s so that l(s) = 0.
-41, 1
Let l = -687697/12 + 229255/4. Factor -l*d - 10 - 1/3*d**2.
-(d + 2)*(d + 15)/3
Let q(u) be the third derivative of 7/60*u**4 + 123*u**2 + 0*u + 0 - 2/3*u**3 - 1/150*u**5. Determine g so that q(g) = 0.
2, 5
Let m(d) = d**2. Let q(v) = -8*v**2 - 4*v + 8. Let t(o) = -4*o - 15. Let x be t(-4). Let r(l) = x*q(l) + 4*m(l). Factor r(g).
-4*(g - 1)*(g + 2)
Suppose 0 = 3*d - 4*p + 6104, 19*d + 6108 = 16*d + 3*p. Let w be 1*6/51 - 11592/d. Solve -w*j**2 + 2/5 + 27/5*j = 0.
-2/29, 1
Let j = 14193948/1115 + -12730. Let v = 894/1115 + j. Factor 0 - 2/5*s**3 + 2/5*s**2 + v*s.
-2*s*(s - 2)*(s + 1)/5
Let p(x) be the second derivative of x**6/70 + 144*x**5/35 + 285*x**4/14 + 284*x**3/7 + 81*x**2/2 - 86*x + 22. Factor p(h).
3*(h + 1)**3*(h + 189)/7
Let l(h) be the first derivative of h**5/160 + 3*h**4/32 + 5*h**3/16 + 7*h**2/16 + 42*h - 50. Let d(r) be the first derivative of l(r). Factor d(n).
(n + 1)**2*(n + 7)/8
Let o(r) = -24*r**2 + 85*r + 88. Let p(u) = -7*u**2 + 28*u + 29. Let q(g) = -4*o(g) + 14*p(g). Factor q(n).
-2*(n - 27)*(n + 1)
Let z = 204 + -176. Suppose z*i = 25*i + 9. Let -1/10*r**i - 32/5 - 17/10*r**2 - 8*r = 0. What is r?
-8, -1
Let b(p) be the first derivative of 3*p**5/5 - 3*p**4/2 - 7*p**3 + 30*p**2 - 36*p + 11689. Find g such that b(g) = 0.
-3, 1, 2
Let x = 160230 - 160228. Let 2 - 3/2*y + 1/4*y**3 - 3/4*y**x = 0. What is y?
-2, 1, 4
Let q = -2/234443 + 7736629/1172215. Let 1331/5 + q*a**2 - 1/5*a**3 - 363/5*a = 0. What is a?
11
Let h(y) be the third derivative of -2*y**7/105 + 11*y**6/15 - 7*y**5 + 74*y**4/3 - 128*y**3/3 - 1154*y**2. Determine j so that h(j) = 0.
1, 4, 16
Let w(x) = -x**2 + 7*x + 2. Let k(y) = -11 - 308*y + 274*y + 0*y**2 + 5*y**2. Let d(b) = -4*k(b) - 22*w(b). Determine a, given that d(a) = 0.
0, 9
Let r(c) = 19*c**2 - 4*c + 3. Let g be r(1). Let u be 21 - ((-28)/(-36) + 4/g). Suppose u + 19 + h**3 - 6*h**2 + 11*h - 69 + 24 = 0. Calculate h.
1, 2, 3
Factor -1/4*z**2 + 0 + 1/4*z**4 + 135/4*z - 135/4*z**3.
z*(z - 135)*(z - 1)*(z + 1)/4
Let n(v) be the second derivative of v**7/105 + v**6/30 + v**5/30 + 71*v**2/2 - 4*v - 2. Let k(x) be the first derivative of n(x). Factor k(t).
2*t**2*(t + 1)**2
Suppose 153*p - 146*p + 69 = -4*w, 0 = -w + 6*p + 68. Solve -46/3*t**w + 14/3 + 2*t**3 + 26/3*t = 0.
-1/3, 1, 7
Let h(v) = v**3 + v**2 - v + 1. Let p(y) be the first derivative of -6*y**4 - 6*y**3 + 12*y**2 - 26*y - 74. Let b(q) = 44*h(q) + 2*p(q). Factor b(k).
-4*(k - 2)*(k - 1)*(k + 1)
Let w(v) be the second derivative of -v**5/10 + 7*v**4/6 + 64*v**3 + 684*v**2 - 103*v + 9. Factor w(o).
-2*(o - 19)*(o + 6)**2
Let o(b) be the third derivative of -b**7/126 + 7*b**6/12 - 49*b**5/4 - 968*b**2. Let o(p) = 0. Calculate p.
0, 21
Suppose -15*w + 127 = -4*j, 33 = -2*j + 3*w + 10. Factor -56/3*s**j + 8*s**3 + 2/3*s**4 + 0 + 0*s.
2*s**2*(s - 2)*(s + 14)/3
Let w(n) be the third derivative of 0*n + 23/12*n**4 + 1/20*n**6 - 22*n**2 - 8/15*n**5 - 2*n**3 - 1. Factor w(l).
2*(l - 3)*(l - 2)*(3*l - 1)
Let a be (38*(-36)/(-2394))/(6/21). Let y(q) be the second derivative of 2197/20*q**5 + 0 + 42*q - 169/2*q**4 - 4*q**a + 26*q**3. Factor y(i).
(13*i - 2)**3
What is k in -81/2*k**2 - 1/2*k**4 - 13 - 79/2*k - 29/2*k**3 = 0?
-26, -1
Factor -1/3*v**3 + 41*v**2 + 344*v + 2096/3.
-(v - 131)*(v + 4)**2/3
Solve -165*s**2 - 291/2*s + 3/2*s**5 - 6*s**4 - 45 - 72*s**3 = 0.
-3, -1, 10
Let h(q) = 2*q**3 + 208*q**2 + 243*q + 3813. Let t be h(-103). Solve 3/2 - 5/4*n**t + 7/4*n = 0.
-3/5, 2
Let j(d) be the first derivative of -d**4/7 + 52*d**3/21 - 100*d**2/7 + 32*d - 1499. Factor j(x).
-4*(x - 7)*(x - 4)*(x - 2)/7
Let l(d) be the second derivative of d**4/3 + 32*d**3/3 + 486*d. Determine o so that l(o) = 0.
-16, 0
Let v = -867491 - -867494. Factor -38/3*w + 0*w**2 - 20 + 2/3*w**v.
2*(w - 5)*(w + 2)*(w + 3)/3
Suppose -115*y - 346 = -288*y. Let d(q) be the second derivative of q + 0 - 1/3*q**3 - 1/189*q**7 + 8/27*q**4 - 7/45*q**5 + 2/9*q**y + 2/45*q**6. Factor d(w).
-2*(w - 2)*(w - 1)**4/9
Let j = 184 + -184. Factor 30*o + 0*o**3 + 3*o**4 + 9 + 18*o**3 + 540*o**2 - 504*o**2 + j*o**4.
3*(o + 1)**3*(o + 3)
Let o be (4/6)/(-91 - (-30688)/336). Suppose 7/9*y**3 - 19/9*y**o - 20/9 - 76/9*y = 0. Calculate y.
-2, -2/7, 5
Suppose -c + 9 = a, -a - 2*a = -5*c - 3. Let m = a - 3. Determine p, given that 23*p**4 + p**5 - 3*p**3 + 2*p**5 - m*p**2 - 20*p**4 = 0.
-1, 0, 1
Let z(m) be the third derivative of -m**5/210 - 25*m**4/84 - 136*m**3/21 + 327*m**2. Factor z(j).
-2*(j + 8)*(j + 17)/7
Let n(o) be the third derivative of 3*o**6/280 - 32*o**5/35 + 435*o**4/56 - 117*o**3/7 - 8031*o**2. Find f, given that n(f) = 0.
2/3, 3, 39
Let z = 56 - 32. Let j = 34 - z. Find v, given that 26*v**2 - j - 5*v**5 + 9*v**2 - 15*v**4 - 10 + 5*v**3 = 0.
-2, -1, 1
Suppose -119449*i**2 - i**4 + 19250*i**2 + 216224*i - i**4 - 107648 - 9307*i**2 + 932*i**3 = 0. Calculate i.
1, 232
Solve -45602/5 - 22197/5*j - 1/5*j**3 + 60*j**2 = 0 for j.
-2, 151
Let u = 14244 + -14240. Find i such that 3/5*i**5 - 12/5*i + 9/5*i**3 + 0 - 12/5*i**2 + 12/5*i**u = 0.
-2, -1, 0, 1
Factor 2913*u**5 - 12 - 5820*u**5 + 24*u**3 - 32*u + 2915*u**5 - 16*u**2 + 28*u**4.
4*(u - 1)*(u + 1)**3*