5)/35. Let d = 1169 - 1166. Solve -6/17*s**4 + 0 - q*s**d + 4/17*s + 2/17*s**2 = 0.
-1, 0, 2/3
Let x be ((-1)/(-2) + -1)*3*(-88)/66. Determine g, given that -9/2*g + 1/2*g**x + 4 = 0.
1, 8
Suppose -6*v + 11*v - 35 = 5*b, -3*b = 5*v - 19. Suppose n + 2 = -3*m, 0 = 3*n - v*n + 4*m + 16. Factor 1/3*q**n + 1/3*q**2 + q - q**3 - 2/3.
(q - 2)*(q - 1)**2*(q + 1)/3
Let w(y) be the third derivative of y**6/360 - 13*y**5/180 + 23*y**4/72 - 11*y**3/18 - 143*y**2 - 6. Suppose w(p) = 0. What is p?
1, 11
Factor 120/13*l**3 - 36480/13*l + 2/13*l**4 + 184832/13 + 584/13*l**2.
2*(l - 8)**2*(l + 38)**2/13
Let v = -749/22 - -9246/11. Let w = -805 + v. Suppose 9/8*s + w - 3/8*s**2 = 0. What is s?
-1, 4
Let y(q) be the first derivative of -q**7/168 + q**6/8 - 5*q**5/8 - 125*q**4/24 + 80*q**3/3 - 116. Let z(c) be the third derivative of y(c). Factor z(a).
-5*(a - 5)**2*(a + 1)
Let l(q) be the second derivative of q**7/840 - q**6/240 - q**5/20 - 17*q**4/12 - 42*q. Let g(v) be the third derivative of l(v). Solve g(f) = 0.
-1, 2
Suppose -20827058/3 - 2/3*b**2 + 12908/3*b = 0. Calculate b.
3227
Suppose 20*j**2 + 1/5*j**3 + 0*j + 0 = 0. Calculate j.
-100, 0
Let u = -159 + 161. Let v(f) = 5*f**2 + 23*f + 5. Let o(w) = -2 - 8*w - 3 - 2*w**2 + 3. Let m(x) = u*v(x) + 7*o(x). Solve m(a) = 0.
-2, -1/2
Let i(k) be the second derivative of 3*k**6/40 - 309*k**5/20 + 1173*k**4 - 34914*k**3 - 73002*k**2 + 2*k + 1609. Factor i(c).
3*(c - 46)**3*(3*c + 2)/4
Let c(d) = 21*d**2 + 12*d + 3. Let v = -112 - -130. Let w(p) = -p**2 - p. Let b(j) = v*w(j) + c(j). Factor b(i).
3*(i - 1)**2
Suppose 31/2 + 1/2*r**2 + 16*r = 0. Calculate r.
-31, -1
Let p be (-2)/10*1390/(-1112). Find q, given that 3/2*q**5 + 3/4*q**2 - p*q + 3/4*q**3 - 11/4*q**4 + 0 = 0.
-1/2, 0, 1/3, 1
Let i = 97 + -54. Let r be (2/20)/(i/516). Find d such that -4/5*d + r*d**2 + 0 = 0.
0, 2/3
Suppose -14*u - 10459 = 6537. Let y = u - -3650/3. Factor -50/3*l + 4 + y*l**2.
2*(l - 6)*(4*l - 1)/3
Let x be (0*(-2)/6)/(-4 - -2). Suppose x = -112*m + 111*m + 121. Factor -4*t + 20*t + m + t**2 - 13*t + 19*t.
(t + 11)**2
Let i = 709 - 681. Let t be (-21)/i - (1 + -2). Suppose 7/4*g**2 + 0*g - 1/4*g**5 + t*g**3 - 3/4*g**4 - 1 = 0. What is g?
-2, -1, 1
Let b(m) be the first derivative of 100/3*m**3 + 25/6*m**6 - 13 + 13*m**5 - 70*m**4 + 0*m + 0*m**2. What is n in b(n) = 0?
-5, 0, 2/5, 2
Let z(y) = -120*y**2 + 5943*y - 12081. Let d(v) = 49*v**2 - 2377*v + 4833. Let t(h) = -27*d(h) - 11*z(h). Find u such that t(u) = 0.
-400, 2
Let k = -10/1541 - -3112/4623. Let i(g) be the third derivative of 0*g**3 + 0 - k*g**4 + 17*g**2 + 0*g + 1/15*g**5. Factor i(s).
4*s*(s - 4)
Suppose -973 = -1316*v + 1396 + 263. Let 102966/5*p**v + 1572/5*p + 8/5 + 2248091/5*p**3 = 0. What is p?
-2/131
Let x(m) = 5*m**2 - 110*m - 65. Let l(o) = o**2 - 22*o - 18. Let n(p) = -14*l(p) + 3*x(p). What is q in n(q) = 0?
3, 19
Suppose 0 = 2250*j - 2255*j + 25. Let q(x) be the second derivative of 0 - 1/4*x**j - 5/4*x**4 - 5/2*x**3 - 5/2*x**2 - 10*x. Find g, given that q(g) = 0.
-1
Let m = 272 - -16. Factor -6*w**4 - 15*w**5 - m*w**3 + 288*w**3.
-3*w**4*(5*w + 2)
Let m(f) = -19*f**3 - 177*f**2 - 492*f + 112. Let i = 158 + -169. Let n(h) = 56*h**3 + 531*h**2 + 1479*h - 335. Let q(z) = i*m(z) - 4*n(z). Factor q(c).
-3*(c + 6)**2*(5*c - 1)
Let z be (-4 + -2)/((-27)/45). Suppose -z*b + 0*b**3 - 18*b**2 + 4*b**3 + 4 - 2*b**3 + 16*b + 6*b**4 = 0. Calculate b.
-2, -1/3, 1
Let v = 7757/34947 + 1/3883. What is j in 2/9 - v*j**2 + 2/9*j**3 - 2/9*j = 0?
-1, 1
Suppose -5*g = -4*d - 62, -4651*d + 4649*d + 7 = 33. Let 10/3*j**2 + 0 - 4/3*j - g*j**3 = 0. Calculate j.
0, 2/3, 1
Let p = 22895 + -22879. Let h(d) be the second derivative of 2*d**2 + 7/36*d**4 + 0 + 1/60*d**5 + 8/9*d**3 + p*d. Determine m so that h(m) = 0.
-3, -2
Let t(u) be the second derivative of u**4/12 + 7*u**3/6 + 3*u**2 - 101*u. Let p(j) = -j - 1. Let c(k) = -2*p(k) - t(k). Factor c(d).
-(d + 1)*(d + 4)
Factor 298*v**2 + 602*v**2 + 7453*v**4 - 3768*v**4 - 605*v**5 - 3480*v**3.
-5*v**2*(v - 5)*(11*v - 6)**2
Let j(l) be the second derivative of 219*l**5/40 - 221*l**4/24 + l**3/6 + 3*l - 180. Factor j(i).
i*(i - 1)*(219*i - 2)/2
Let z(h) = 6*h**2 + 8640*h - 17220. Let d(l) = -l**2 - 1728*l + 3444. Let b(f) = 21*d(f) + 4*z(f). Determine q so that b(q) = 0.
2, 574
Let z(f) be the second derivative of -f**7/63 - f**6/15 + 23*f**5/30 - 11*f**4/6 + 14*f**3/9 - 779*f. Suppose z(c) = 0. What is c?
-7, 0, 1, 2
Let b be (-221)/(-52) + (-3)/12. Factor 14*n**3 + 20 + 476*n**4 + 58*n - 960*n**b + 54*n**2 + 482*n**4.
-2*(n - 10)*(n + 1)**3
Find c such that 1250*c**2 + 514 + 2172*c + 746 + 1418*c - 489493*c**3 - 1075*c + 489488*c**3 = 0.
-1, 252
Let u(s) be the third derivative of s**8/2016 - s**7/1260 - 19*s**6/360 - 17*s**5/180 + 37*s**4/144 + 35*s**3/36 + 541*s**2. Find q, given that u(q) = 0.
-5, -1, 1, 7
Let s(y) = 6*y**2 + 36*y + 3. Suppose 0 = -5*x + 5*b - 30, 4*b = -3*x - 33 + 15. Let w be s(x). Factor 3/11*p**w + 1/11*p**4 + 2/11*p**2 + 0*p + 0.
p**2*(p + 1)*(p + 2)/11
Let x(q) be the first derivative of -11/7*q**2 + 0*q + 1/21*q**3 - 149. Factor x(f).
f*(f - 22)/7
Let y(r) be the second derivative of r**7/14 + 21*r**6/50 - 51*r**5/20 + 87*r**4/20 - 14*r**3/5 - 2746*r. Solve y(i) = 0.
-7, 0, 4/5, 1
Let k = 4380 - 788399/180. Let w(c) be the third derivative of 0*c**3 - 1/30*c**5 + k*c**6 - 11*c**2 + 0*c + 0 + 1/18*c**4. Factor w(x).
2*x*(x - 2)*(x - 1)/3
Let t(p) be the third derivative of -p**6/300 + 29*p**5/150 - 55*p**4/12 + 847*p**3/15 - p**2 + 181. Factor t(f).
-2*(f - 11)**2*(f - 7)/5
Factor 8*s + 2/5*s**3 - 18/5*s**2 - 24/5.
2*(s - 6)*(s - 2)*(s - 1)/5
Let a be (384/336)/((-2)/(-7)). Suppose -a*b + 5*x = -23, -30*x = b - 29*x + 1. Factor 16/7 - 8/7*v**3 + 8*v**b + 62/7*v.
-2*(v - 8)*(2*v + 1)**2/7
Let r(o) be the second derivative of -1/210*o**7 - 1/10*o**4 + 218*o + 1/25*o**6 + 0 + 0*o**2 - 1/25*o**5 + 1/6*o**3. Let r(j) = 0. What is j?
-1, 0, 1, 5
Let s = 227 - 120. Suppose 92 = -5*h + s. Factor 17*z**4 + 53*z - 5*z + z**4 - 10*z**h + 13*z**3 - 72*z**2 + 3*z**5.
3*z*(z - 1)**2*(z + 4)**2
Let w(u) be the third derivative of u**5/75 + u**4/5 - 14*u**3/15 + 851*u**2. Solve w(g) = 0.
-7, 1
Suppose 29*g - 46*g - 43*g = 16*g. Suppose g - 3/5*a**3 - 66/5*a**2 - 363/5*a = 0. What is a?
-11, 0
Let j be (-5627)/(-102)*(1 - 5)*3. Let q = j - -3312/5. Factor 2*k - 12/5 - q*k**2.
-2*(k - 3)*(k - 2)/5
Let h(n) be the first derivative of -5*n**3/3 - 26*n**2 - 627*n - 107. Let a(w) = 7*w**2 + 53*w + 628. Let y(b) = 2*a(b) + 3*h(b). Factor y(t).
-(t + 25)**2
Let j(r) be the third derivative of -r**6/450 + 7*r**5/50 - 2*r**4/3 + 25*r**3/3 - 34*r**2 - 2. Let v(x) be the first derivative of j(x). Factor v(l).
-4*(l - 20)*(l - 1)/5
Let c be (-684)/5244 - 6880/(-552). Factor c*l**2 + 0*l + 0 - 7/6*l**4 - 257/6*l**3.
-l**2*(l + 37)*(7*l - 2)/6
Let g(p) be the first derivative of p**5 + 0*p + 21/4*p**4 + 23/3*p**3 - 1/6*p**6 + 4*p**2 + 66. Factor g(w).
-w*(w - 8)*(w + 1)**3
Let l(n) be the third derivative of -3481/180*n**5 + 0 - 2/9*n**3 - n**2 - 6*n - 59/18*n**4. Factor l(p).
-(59*p + 2)**2/3
Let l be (-128)/320 + (-156)/10. Let j be ((-20)/l)/5*(-5 + 8). Factor -j*i**3 + 0*i**2 + 0*i - 3/8*i**4 + 0.
-3*i**3*(i + 2)/8
Factor 44*o**2 - 8*o**2 + 164861*o - 164791*o - 300 + 2*o**3.
2*(o - 2)*(o + 5)*(o + 15)
Factor 28*x**3 - 2352*x**2 + 0 + 0*x - 4/9*x**5 + 40/3*x**4.
-4*x**2*(x - 21)**2*(x + 12)/9
Let d(y) be the second derivative of y**4/6 - 8*y**3/3 - 345*y**2 - 1168*y - 2. Solve d(i) = 0 for i.
-15, 23
Let v(o) be the first derivative of 5*o**7/28 - 11*o**6/72 - 17*o**5/24 - 5*o**4/12 + 46*o**3/3 + 30. Let k(m) be the third derivative of v(m). Factor k(g).
5*(g - 1)*(2*g + 1)*(15*g + 2)
Suppose 2*o + h + 70 = 71, 0 = -6*o + 2*h + 38. Find u, given that 4/5*u + 9/5*u**3 + 0 - 1/5*u**o - 1/5*u**5 - 11/5*u**2 = 0.
-4, 0, 1
Let s be (5 - 2)/(12/8*1). Suppose 0 = -3*j - s*j + 65. Suppose -7*q**2 - 3*q + j*q**2 + 4*q**3 - 7*q**3 = 0. Calculate q.
0, 1
Solve 77*x**3 - 46*x - 240 - 72*x**3 - 5*x**2 - 10*x**2 - 124*x = 0.
-3, -2, 8
Suppose 5*z = 91 - 11. Suppose 5*a + 10 = 0, 21*k - z*k - 3*a - 226 = 0. Solve 84*m**4 - 48*m**2 - k*m**3 - 49/2*m**5 - 8*m + 0 = 0.
-2/7, 0, 2
Let h(y) = 1622*y**2 - 5*y + 140. Let u be h(16). Solve -804076*q + 3293