ppose -713*m = -710*m - 6. Let q(a) be the first derivative of 2/105*a**5 - 16 + 1/21*a**m - 4/63*a**3 + 1/63*a**6 + 2/21*a - 1/21*a**4. Solve q(z) = 0.
-1, 1
Suppose d - 193 = 1922. Let l = 16941/8 - d. Let -l*r**5 + 0 + 27/8*r**3 - 15/8*r**4 - 3/4*r + 15/8*r**2 = 0. Calculate r.
-1, 0, 2/7, 1
Let z(t) be the first derivative of t**6/24 - 11*t**5/20 + 17*t**4/8 - 23*t**3/6 + 29*t**2/8 - 7*t/4 - 268. Factor z(l).
(l - 7)*(l - 1)**4/4
Let q(y) = y**2 - 23*y - 18. Let s be q(24). Suppose b = 4*b - s. Factor -3*m**b - 16*m**3 + 9*m**3 + 6*m**3 + 4*m**2.
-m**2*(m - 1)
Suppose 2*k + c = 16, 4*k + 16 = 97*c - 95*c. Factor 136/7*o + 2312/7 + 2/7*o**k.
2*(o + 34)**2/7
Let j(d) be the first derivative of 5*d**4/4 - 5*d**3 - 25*d**2 - 518. Factor j(u).
5*u*(u - 5)*(u + 2)
Solve 13680*a - 5/2*a**5 + 28880 - 27355/2*a**3 + 375*a**4 - 29255*a**2 = 0 for a.
-2, -1, 1, 76
Let m(z) = -z**3 + 13*z**2 - 12*z - 6. Let h be m(12). Let l = h + 10. Determine w so that l*w**2 + 21*w**4 - 27*w**5 + 21*w**3 - 6*w**3 + 9*w**3 - 22*w**5 = 0.
-2/7, 0, 1
Factor -497/6 - 1/6*s**2 + 83*s.
-(s - 497)*(s - 1)/6
Let g(x) be the second derivative of 2/7*x**2 - 29/42*x**3 + 15*x - 3/70*x**5 + 0 + 31/84*x**4. Factor g(w).
-(w - 4)*(w - 1)*(6*w - 1)/7
Let c(u) be the first derivative of 5*u**2/2 - 10*u + 4. Let q be c(6). Factor -3*n**2 - 22*n**2 + 0*n**3 - q + 7*n**3 + 40*n - 2*n**3.
5*(n - 2)**2*(n - 1)
Let l = -2417 - -21757/9. Let m(g) be the first derivative of 15 - 1/3*g**4 - 2/15*g**5 + l*g**3 - 2/3*g + 1/3*g**2 + 1/9*g**6. Factor m(p).
2*(p - 1)**3*(p + 1)**2/3
Let k(h) be the third derivative of 5*h + 1/50*h**6 - 6*h**2 - 2/75*h**5 + 0*h**3 + 0 + 1/840*h**8 + 1/60*h**4 - 4/525*h**7. Factor k(q).
2*q*(q - 1)**4/5
Let b(l) be the second derivative of 0 - 1/75*l**6 + 9/50*l**5 + 7/3*l**3 + 43*l + 11/10*l**4 + 12/5*l**2. Suppose b(z) = 0. Calculate z.
-1, 12
Suppose 7727*p + 1 + 2 - 1 = 2. Determine t so that 5/2*t**5 + 0*t + 25/2*t**4 + 20*t**3 + p + 10*t**2 = 0.
-2, -1, 0
Let k = 115 + -70. Let f = -43 + k. Determine g, given that 3*g**4 + 0*g - g + 9*g**f + 0*g**3 - 2*g - 9*g**3 = 0.
0, 1
Let q = -1022 - -865. Let s = q + 161. Factor 0*f**2 + 7/9*f**3 + 0 - 4/9*f + 1/3*f**s.
f*(f + 1)*(f + 2)*(3*f - 2)/9
Let p = 3564 + -3564. Let k(w) be the first derivative of 1/5*w**3 + 5 + 1/10*w**6 + p*w - 3/20*w**4 + 0*w**2 - 3/25*w**5. Factor k(d).
3*d**2*(d - 1)**2*(d + 1)/5
Let y(j) be the second derivative of j**6/9 - j**5/5 - 23*j**4/6 + 134*j**3/9 - 8*j**2 - 10*j + 73. Find w, given that y(w) = 0.
-4, 1/5, 2, 3
Let i(a) = -a**3 + 31*a**2 + 33*a - 30. Let h be i(32). Let -8*l + 4 - 7*l + 5*l**h - 4 = 0. Calculate l.
0, 3
Let f = 897253/249230 - 5/49846. Factor -3*v - f + 3/5*v**2.
3*(v - 6)*(v + 1)/5
Let p(g) be the second derivative of -5*g**7/84 + 37*g**6/6 - 323*g**5/2 - 1805*g**4/3 - 602*g. Suppose p(y) = 0. What is y?
-2, 0, 38
Find z, given that 51/2 - 63/4*z + 3/2*z**2 = 0.
2, 17/2
Let r(y) be the second derivative of -21*y**5/20 - 29*y**4/12 - 2*y**3/3 + 2*y**2 - 2620*y. Let r(t) = 0. Calculate t.
-1, -2/3, 2/7
Factor -298/7 - 2/21*j**2 - 128/3*j.
-2*(j + 1)*(j + 447)/21
Let t(m) = m**3 + m + 1. Let b(u) = -21*u - 13*u**3 + 5*u**3 - 3*u**3 - 17*u - 14 - 13*u**3 + 10*u**2. Let y(v) = -2*b(v) - 44*t(v). Factor y(s).
4*(s - 2)**2*(s - 1)
Let t(k) be the first derivative of -9*k**4 - 508*k**3 - 9632*k**2 - 62720*k + 2880. Factor t(q).
-4*(q + 5)*(3*q + 56)**2
Let o be 155/(-62)*6/(-8) - 162/432. Determine c, given that 5/8*c**2 - 1/2*c + 1/4*c**3 - o = 0.
-2, 3/2
Let x(c) = -c**3 + c**2 + c - 2. Let h(o) = 464*o**3 + 1020*o**2 + 150*o - 20. Let b(v) = h(v) - 6*x(v). Factor b(q).
2*(q + 2)*(5*q + 1)*(47*q - 2)
Suppose 4*l = -5*l - 54. Let k(n) = -2*n - 9. Let j be k(l). Factor -3*c**2 - 402*c**3 + 405*c**3 + 6*c**4 - j*c**4 - 3*c**5.
-3*c**2*(c - 1)**2*(c + 1)
Suppose -4*w - 46 + 14 = 0. Let b be (-2)/w - (-11)/4. Factor 20*d**2 + 8*d + 0*d**4 + 2*d**4 + 0*d**4 + 16*d**b + 2*d**4.
4*d*(d + 1)**2*(d + 2)
Let j(m) be the third derivative of -m**5/90 + m**4/6 - 830*m**2. What is p in j(p) = 0?
0, 6
Find j such that 1/3*j**2 + 802/3*j + 160801/3 = 0.
-401
Let 120*b**2 + 48*b - 1/3*b**3 - 5/6*b**4 + 0 = 0. What is b?
-12, -2/5, 0, 12
Let t(s) = 3*s**2 + 299*s + 1088. Let m(i) = 5*i**2 + 449*i + 1632. Let q(d) = 5*m(d) - 7*t(d). Factor q(g).
4*(g + 4)*(g + 34)
Let j be -15 + 31 + 14/5*(21 - 26). Solve 3*w**4 - w - 19/2*w**3 + 0 + 15/2*w**j = 0.
0, 1/6, 1, 2
Factor -54/13 + 42/13*x**2 + 36/13*x + 8/13*x**3.
2*(x + 3)**2*(4*x - 3)/13
Let a(p) = -p**2 - 20960*p + 10982930. Let d(z) = 4192*z - 2196588. Let j(s) = -2*a(s) - 11*d(s). Factor j(g).
2*(g - 1048)**2
Determine y, given that 132*y**2 + 12*y + 14*y + 10*y - 5881*y**4 + 44*y**3 - 216 + 5885*y**4 = 0.
-6, -3, 1
Let x(t) be the second derivative of -7*t**5/12 + 1375*t**4/36 - 695*t**3/3 + 180*t**2 + 2968*t. Solve x(i) = 0 for i.
2/7, 3, 36
Determine i, given that -13*i**2 - 91/4 - 81/2*i + 9/2*i**3 - 1/4*i**4 = 0.
-1, 7, 13
Let k(b) = 50*b + 75. Let x be k(8). Factor 469 - 944 + x - 3*j**2 - 5*j**3 + 3*j**4 + 4*j + j**5.
j*(j - 1)**2*(j + 1)*(j + 4)
Let d(g) = -g**4 - g**3. Let v(k) be the first derivative of -2*k**5 + 41*k**4/4 - 9*k**3 + 3*k**2 + 68. Let i(h) = 5*d(h) + v(h). Find p, given that i(p) = 0.
0, 2/5, 1
Determine x, given that -144/7*x**2 + 472/7*x - 320/7 + 2/7*x**4 - 10/7*x**3 = 0.
-8, 1, 2, 10
Let x(o) be the second derivative of 56*o - 784*o**2 + 0 - 2*o**4 + 1/35*o**5 + 56*o**3. Let x(v) = 0. Calculate v.
14
Let x(w) = 15*w**2 + 936*w - 738. Let i(r) = 15*r**2 + 933*r - 739. Let q(y) = -6*i(y) + 5*x(y). Let q(d) = 0. What is d?
-62, 4/5
Let -447 - 307*g - 810*g**2 - 1393*g - 5*g**4 - 553 - 39*g**3 - 44*g**3 - 32*g**3 = 0. Calculate g.
-10, -2, -1
Let p(i) be the first derivative of -4/9*i**3 + 224/3*i + 110/3*i**2 - 232. Factor p(l).
-4*(l - 56)*(l + 1)/3
Let m(r) be the first derivative of -r**5 + 145*r**4 - 16225*r**3/3 - 17405*r**2 - 1942. Factor m(f).
-5*f*(f - 59)**2*(f + 2)
Let z(a) = -15*a + 16. Let f be z(1). Let g(r) = -r**2. Let i(q) = 2*q**2. Let p be 5*1 + (-76)/19. Let w(j) = f*i(j) + p*g(j). Factor w(l).
l**2
Suppose -3041 = -16*c + 1791. Let x = -297 + c. Suppose 3*d**4 + 0 + 0*d - 3/2*d**3 - 3/2*d**x + 0*d**2 = 0. Calculate d.
0, 1
Suppose 464*w**2 - 140*w**3 + 1808*w - 861 + 77*w**3 + 67*w**3 + 2653 = 0. Calculate w.
-112, -2
Let v(r) be the second derivative of r**4/12 + 98*r**3/3 + 4802*r**2 + 4290*r. Factor v(x).
(x + 98)**2
Let y = 74992 + -74990. Suppose 69/5*w - 3/5*w**y - 66/5 = 0. Calculate w.
1, 22
Factor 1164/5 + 287/5*i**2 - 232*i + 1/5*i**3.
(i - 2)**2*(i + 291)/5
Suppose -49 + 213 = 2*r. Suppose -65 = k + 3*l - r, 2*k - 2*l = 2. Determine w so that -1/4*w**2 + k*w - 25 = 0.
10
Let f(m) be the first derivative of -m**5 + 1835*m**4/4 - 610*m**3 - 9359. Find s, given that f(s) = 0.
0, 1, 366
Let g = -78260 - -705800/9. Let y = -162 + g. Determine q so that -2/9*q**3 + y - 2/9*q**2 + 2/9*q = 0.
-1, 1
Let t = 7286/3 - 2462. Let p = 104/3 + t. Factor -2/9*d + 2/9*d**2 - p.
2*(d - 3)*(d + 2)/9
Let o(p) = -166*p**2 - 840*p - 861. Let t(u) = -15*u**2 + 2*u. Let f(b) = -4*o(b) + 44*t(b). Factor f(h).
4*(h + 1)*(h + 861)
Let k(s) = -s**3 + 10*s**2 + 11*s + 16. Let b be k(-9). Let x = b - 15990/11. Factor -16/11*v**2 - 12/11 - 2/11*v**3 - x*v.
-2*(v + 1)**2*(v + 6)/11
Let x(w) be the second derivative of -2*w**6/15 + 8*w**5/5 - 2*w**4 - 80*w**3/3 - 50*w**2 - 4182*w. Factor x(c).
-4*(c - 5)**2*(c + 1)**2
Let m(n) be the third derivative of n**6/24 - 35*n**5/12 - 385*n**4/24 + 185*n**3/2 - 114*n**2 + 22*n. Factor m(y).
5*(y - 37)*(y - 1)*(y + 3)
Suppose b = 4*t + 28, 0 = 3*t - 20 + 41. Let n(p) be the third derivative of 0 + b*p - 25/3*p**3 + 13*p**2 - 1/30*p**5 - 5/6*p**4. Factor n(m).
-2*(m + 5)**2
Let k(n) be the third derivative of -n**6/8 + 281*n**5/10 - 331*n**4/2 + 220*n**3 + 6247*n**2. What is f in k(f) = 0?
2/5, 2, 110
Let w(o) be the third derivative of o**8/112 + 2*o**7/35 - 3*o**6/20 - 4*o**5/5 + 29*o**4/8 - 6*o**3 + 4888*o**2. Let w(h) = 0. What is h?
-4, -3, 1
Let j(s) = s**3 - 2*s**2 + s. Let r(d) = -159*d**3 - 132*d**2 + 163*d + 128. Let o(c) = -18*c + 215. Let u be o(12). Let v(w) = u*r(w) + 3*j(w). Factor v(l).
2*(l - 1)*(9*l + 8)**2
Let k(v) be the third derivative of -v**7/