e 631 + 879562*y - 880072*y - 53 - 66*y**2 - 2*y**3 = 0.
-17, 1
Let j(h) be the second derivative of h**5/15 - 9*h**4/4 - 14*h**3/3 + 13*h**2/2 + 48*h. Let r(k) be the first derivative of j(k). Solve r(c) = 0 for c.
-1/2, 14
Suppose 0 = -94*g + 38 + 205 - 55. Solve 24/19*i**3 - 2/19*i**4 + 0 + 0*i - 22/19*i**g = 0.
0, 1, 11
Let 9/2 + 18818*c**2 - 582*c = 0. Calculate c.
3/194
Let c be 30/14 + 2 + (-2)/14. Suppose c*z = 98 - 94. Determine t so that 19 + 0*t**2 - z + 6 - 4*t**2 - 20*t = 0.
-6, 1
Factor 5/3*b**2 + 960 - 250/3*b.
5*(b - 32)*(b - 18)/3
Determine t so that 3513/5*t**2 + 1605723211/5 - 4113723/5*t - 1/5*t**3 = 0.
1171
Let u be 1 + 1 + -1 - (-17)/(-22 + 5). Let j(b) be the second derivative of -1/12*b**4 - 26*b + u + 1/2*b**3 + 2*b**2. Solve j(p) = 0 for p.
-1, 4
Solve 90*d**2 + 460/3*d - 1000/3 - 5/3*d**4 - 115/3*d**3 = 0.
-25, -2, 2
Suppose 633*n - 336 = 625*n. Let a(l) = 8*l - 331. Let g be a(n). Factor -10*d**2 - 35/4*d**4 + 20 + 20*d**3 - 20*d + 5/4*d**g.
5*(d - 2)**4*(d + 1)/4
Let r(s) be the first derivative of s**5/20 + 13*s**4/8 - 8*s**3/3 - 69*s**2/4 - 81*s/4 + 4135. Factor r(l).
(l - 3)*(l + 1)**2*(l + 27)/4
Let y be (6/5)/((-2)/(-10)). Let z = 814466 - 1628923/2. Find h such that 0*h - z*h**2 - 3/2*h**3 + y = 0.
-2, 1
Let j = -31089 - -155448/5. What is w in 1/5*w + 3/5*w**2 - j - 1/5*w**3 = 0?
-1, 1, 3
Let b = 131627/9 - 14625. Let 0 - 2/3*o**3 + 2/9*o + 10/9*o**4 - b*o**2 - 4/9*o**5 = 0. What is o?
-1/2, 0, 1
Let r be -2*1*(-2 + 3)*-1. Find u such that 571*u**r + 20 + 1 - 572*u**2 - 4*u = 0.
-7, 3
Let h(i) be the first derivative of -i**4/4 + 13*i**3 - 163*i**2 + 504*i + 1105. Factor h(b).
-(b - 28)*(b - 9)*(b - 2)
Let s(x) be the third derivative of x**6/120 - 27*x**5/20 - x**4/6 + 54*x**3 - x**2 + x - 1519. Suppose s(y) = 0. Calculate y.
-2, 2, 81
Let v be 12*(-84)/(-288)*32/28. Factor -9/2*p**3 + 3/8*p**v + 33/4*p**2 + 147/8 + 63/2*p.
3*(p - 7)**2*(p + 1)**2/8
What is z in -3*z**3 + 55/3*z**2 - 28*z + 0 = 0?
0, 3, 28/9
Let o = 527/180 + -29/10. Let d = 91/684 - o. Factor 4/19*y - d*y**2 + 6/19.
-2*(y - 3)*(y + 1)/19
Let z(q) = -q**2 - 12*q + 15. Let y be z(-13). Let k(f) = f**2 + 380*f + 7222. Let v(a) = -2*a**2 + 1. Let w(c) = y*v(c) - k(c). Solve w(t) = 0 for t.
-38
Let w(v) = -v**3 - 19*v**2 + 10*v + 190. Let x be -9 + 5 + -20 - (4 - 9). Let b be w(x). Factor -2*f**2 + b*f - 5/2*f**4 - 6*f**3 + 0.
-f**2*(f + 2)*(5*f + 2)/2
Suppose m - 2 = 0, 5*h = 4*h + 3*m - 11. Let a be (-9)/(h/(-25) + 64/(-20)). Factor -16/15*p + 4/5*p**a + 2/3*p**4 - 8/15*p**2 + 2/15*p**5 + 0.
2*p*(p - 1)*(p + 2)**3/15
Let q(h) be the third derivative of -3*h**7/280 + 59*h**6/80 - 39*h**5/2 + 3549*h**4/16 - 2197*h**3/8 + 37*h**2 + 16*h. Solve q(a) = 0.
1/3, 13
Suppose 42*f + 981 = 369*f. Let b(v) be the second derivative of 0 + 1/84*v**4 - 1/42*v**f - 1/7*v**2 - 7*v. Factor b(g).
(g - 2)*(g + 1)/7
Let w(k) be the first derivative of -k**3 + 354*k**2 - 1404*k + 2450. Suppose w(n) = 0. What is n?
2, 234
Let g = 4 - 1. Suppose 21*v = 12*v + 45. Factor -5*s + 5*s**2 - 2*s**3 - 5*s**3 - v + 12*s**g.
5*(s - 1)*(s + 1)**2
Let b = 5279 + -5279. Let o(u) be the third derivative of -1/21*u**3 + 0 - 1/84*u**4 + b*u + 1/420*u**6 + 1/210*u**5 - 18*u**2. Solve o(p) = 0 for p.
-1, 1
Let t = 2092 + -1570. Suppose 0 = t*s - 501*s. Factor 3/2*r**5 - 3*r**3 + 3/2*r + s + 0*r**2 + 0*r**4.
3*r*(r - 1)**2*(r + 1)**2/2
Let f(c) be the first derivative of -25 - 10/3*c**3 + 12*c**2 - 1/3*c**4 - 18*c. Let l(j) be the first derivative of f(j). Find n, given that l(n) = 0.
-6, 1
Let p(d) be the second derivative of 30*d - 1/48*d**4 + 1/8*d**3 + 0 + 1/2*d**2. Factor p(k).
-(k - 4)*(k + 1)/4
Let c(v) be the third derivative of 2*v**6/15 + 67*v**5/6 + 581*v**4/2 - 147*v**3 - 23*v**2 + 43. Suppose c(a) = 0. What is a?
-21, 1/8
Let i = 13 + 5. Let a be (-153)/34*-1*i. Factor 2*m**4 + a*m**5 - 2*m**2 - 8*m**4 - 6*m**3 - 83*m**5.
-2*m**2*(m + 1)**3
Let g(h) be the third derivative of h**7/2100 - h**6/150 + 7*h**5/600 - 967*h**2. Factor g(z).
z**2*(z - 7)*(z - 1)/10
Let b be (-6 + (-21)/(-14))*(14 + (-688)/48). Determine j, given that -b*j + 9/4*j**3 + 3/4*j**4 + 0 - 3/4*j**2 - 3/4*j**5 = 0.
-1, 0, 1, 2
Determine y so that 429/2*y**2 + 111 + 99/2*y**3 - 3/2*y**4 + 549/2*y = 0.
-2, -1, 37
Let -3*a**3 + 9*a**2 - 8*a + 1/4*a**4 + 0 = 0. Calculate a.
0, 2, 8
Let u(p) = -p**3 - 19*p**2 + 63*p + 11. Let l be u(3). Factor 0 - 12/5*h + 1/5*h**l.
h*(h - 12)/5
Let h(x) be the second derivative of x**8/10080 - x**7/540 + x**6/180 - x**4/4 - 31*x**2/2 - 28*x - 2. Let m(w) be the third derivative of h(w). Factor m(l).
2*l*(l - 6)*(l - 1)/3
Let c = -12087 + 12087. Factor 4/5*f + 0*f**2 + c - 1/5*f**3.
-f*(f - 2)*(f + 2)/5
Let k(t) be the first derivative of 65/3*t**3 + 225/2*t**2 - 76 - 45/4*t**4 - 250*t + t**5. Factor k(j).
5*(j - 5)**2*(j - 1)*(j + 2)
Let y(s) be the first derivative of -108*s - 134 - 253/9*s**3 + 102*s**2 - 1/15*s**5 - 17/6*s**4. Factor y(j).
-(j - 1)**2*(j + 18)**2/3
Let o(a) be the first derivative of a**4 + 436*a**3/3 - 898*a**2 + 1356*a + 5161. Factor o(p).
4*(p - 3)*(p - 1)*(p + 113)
Find t such that -4/5*t**4 - 24*t**3 - 4624/5 - 628/5*t**2 + 816*t = 0.
-17, 2
Let w(s) be the third derivative of s**6/30 + 13*s**5/15 - 15*s**4 + 1737*s**2. Factor w(k).
4*k*(k - 5)*(k + 18)
Let d(k) be the first derivative of -k**6/315 - k**5/35 - 2*k**4/21 - 8*k**3/63 - 58*k + 19. Let t(n) be the first derivative of d(n). Factor t(f).
-2*f*(f + 2)**3/21
Let d(g) = 0*g**3 + 9*g - 5*g**2 - g**3 - 5 + 8*g**2. Let i(z) = -167 - z**2 + 168 + 0*z - z - z**3. Let u(c) = -d(c) - 5*i(c). Suppose u(x) = 0. What is x?
-1, 0, 2/3
Let h be -7 - (-7)/(7 + -6) - (-1536)/28. Solve -h*n + 1024/7 - 2/7*n**3 + 48/7*n**2 = 0.
8
Let f(t) be the first derivative of -2*t**3/27 - 17*t**2/9 + 56*t/3 - 675. Solve f(d) = 0 for d.
-21, 4
Factor 47*n**5 + 18*n**3 - 28*n**3 + 34*n**3 - 46*n**5 - 14*n**4.
n**3*(n - 12)*(n - 2)
Let i(w) be the second derivative of -42*w - 1/20*w**6 + 0*w**2 + 0*w**3 - 3/40*w**5 + 0 + 0*w**4. Factor i(q).
-3*q**3*(q + 1)/2
Let j = 38982 + -351589/9. Let b = j + 84. Suppose -b*g + 1/9*g**3 + 1/9*g**2 + 1/3 = 0. Calculate g.
-3, 1
Let q be (0 - -1)/((-9)/(-36)). Determine d so that -16*d**4 - 2*d**2 - 14*d**2 - 20*d**q - 32*d**3 + 16*d**4 - 4*d**5 = 0.
-2, -1, 0
Let h be 3/(-15) - (6/(-5) + -1). Suppose -9 + 3*p - 194*p**2 - 3*p**3 + 101*p**2 + 102*p**h = 0. Calculate p.
-1, 1, 3
Let r(i) = -i**3 + 126*i**2 + 790*i + 266. Let f be r(132). Let 14/11*s**f - 32/11*s + 8/11 = 0. Calculate s.
2/7, 2
Let y = 1882708 + -1882703. Solve -9/2*j**y + 29/2*j - 9 + 102*j**3 + 28*j**4 + 93*j**2 = 0.
-1, 2/9, 9
Let -2*v**2 - 10/3*v + 0 - 1/6*v**3 = 0. What is v?
-10, -2, 0
Let o(r) be the first derivative of 25*r**4/4 - 33190*r**3/3 + 19895*r**2/2 + 13270*r + 7131. Suppose o(p) = 0. Calculate p.
-2/5, 1, 1327
Let z be 4/(-1) - 84/(3 + -7). Suppose -36*c**2 + 22*c + z*c + 35*c**4 + 243*c**5 - 92*c**3 + 127*c**4 - 6 - 110*c**3 + 40*c**3 = 0. What is c?
-1, -2/3, 1/3
Let i = 2231 - 1231. Let n(d) be the first derivative of -i*d - 11 - 10*d**3 - 150*d**2 - 1/4*d**4. Determine b, given that n(b) = 0.
-10
Let -391/5*j + 3/5*j**3 - 98/5 - 58*j**2 = 0. What is j?
-1, -1/3, 98
Let a(q) = 2*q**3 + q**2 + 3*q. Let x(h) = 14*h**3 - 2*h**2 - 20*h - 28. Let d(k) = -6*a(k) + x(k). Let d(c) = 0. Calculate c.
-2, -1, 7
Let y be 6/165 - (3360/220)/(-42). Suppose -2 = 4*z - 22. Solve 3/5*k**3 + 7/5*k**4 - k**z + 0 + y*k - 7/5*k**2 = 0 for k.
-1, 0, 2/5, 1
Let g(p) = -p**2 + 3*p - 1. Let u be g(-5). Let n = 43 + u. Let 2*k**n - 5*k**3 + 15*k + 10*k**3 + 18*k**2 = 0. What is k?
-3, -1, 0
Let i be 137/3 - (-1 - (-4)/6). Find w such that w**3 + 61*w**4 - 5*w**5 - i*w**4 - w**3 = 0.
0, 3
Let u(s) be the first derivative of -7/3*s**3 + 1/15*s**5 + 0*s - 3/4*s**4 - 11/6*s**2 + 205. Suppose u(d) = 0. Calculate d.
-1, 0, 11
Let p(v) be the first derivative of 1/66*v**5 - 4 + 2/33*v**3 + 0*v + 7/2*v**2 - 7/132*v**4. Let b(r) be the second derivative of p(r). Factor b(f).
2*(f - 1)*(5*f - 2)/11
Let r(z) be the first derivative of 4*z**5/5 + 11*z**4 + 68*z**3/3 - 214*z**2 - 840*z - 2002. Let r(i) = 0. What is i?
-7, -5, -2, 3
Let f be 37209/45 + (-186)/(-45) + -4. Factor 343*k**4 - f + 1282*k**2 - 22*k**2 + 344*k + 1666*k**3 +