17)
Solve 66/5*q**2 - 3/5*q**3 + 0 - 363/5*q = 0.
0, 11
Suppose 0 = 4*r - 20, -y - 12*r + 7 = -11*r. What is b in 1/3*b**y + 1 - 4/3*b = 0?
1, 3
Suppose -3*k + 9 = z, 5 = 7*k - 3*k - z. Find r such that -r**3 + 2*r - 3/2*r**2 + 1/2*r**4 + k = 0.
-1, 2
Let d(g) be the first derivative of g**5/5 - 5*g**4/3 + 4*g**3/3 + 16*g**2 + 6*g - 31. Let x(z) be the first derivative of d(z). Find h, given that x(h) = 0.
-1, 2, 4
Suppose 15*g = 20*g + 25. Let j(k) = -76*k**2 + 136*k + 40. Let o(u) = -51*u**2 + 91*u + 27. Let v(w) = g*j(w) + 8*o(w). Suppose v(d) = 0. Calculate d.
-2/7, 2
Let m(x) be the first derivative of -4/3*x**3 - 6*x + 7*x**2 - 10. Factor m(q).
-2*(q - 3)*(2*q - 1)
Let q(n) be the third derivative of 8*n**2 + 5/4*n**4 + 1/3*n**5 + 15/8*n**3 + 0 + 0*n. Factor q(d).
5*(4*d + 3)**2/4
Let u(j) be the first derivative of 1/5*j**5 - 5/6*j**2 + 2/3*j + 5/12*j**4 - 19 - 5/9*j**3. Find z, given that u(z) = 0.
-2, -1, 1/3, 1
Suppose 48 = 13*p + 3*p. Let v(f) be the first derivative of -2/5*f - 1/10*f**4 + 1/5*f**2 + 2/15*f**p + 5. Factor v(l).
-2*(l - 1)**2*(l + 1)/5
Let s(d) be the second derivative of d**7/84 - d**6/20 - d**5/20 + d**4/4 + d**3/12 - 3*d**2/4 + 51*d. Solve s(n) = 0.
-1, 1, 3
Let n(s) = 14*s + 8. Let r be n(15). Let -o**3 + 0*o**2 + 3*o**4 - 2*o**3 + 221*o**5 - r*o**5 - 3*o**2 = 0. What is o?
-1, 0, 1
Let u be (-144)/8 + 7 + (-35)/(-3). Factor -u + 2/3*b**3 - 2/3*b + 2/3*b**2.
2*(b - 1)*(b + 1)**2/3
Let v(j) be the first derivative of -2*j**3/7 - 24*j**2/7 - 72*j/7 - 106. Factor v(d).
-6*(d + 2)*(d + 6)/7
Let g(n) = -94*n - 2724. Let t be g(-29). Factor 2/15*k**t - 14/15*k + 0.
2*k*(k - 7)/15
Let o(r) = -r**4 - 3*r**3 - 3*r**2 - 5*r - 4. Let b(k) = -3*k**4 - 8*k**3 - 8*k**2 - 14*k - 11. Let a(c) = -4*b(c) + 11*o(c). Determine s, given that a(s) = 0.
-1, 0, 1
Let 1332/7*t**2 + 2/7*t**3 + 21882096/7 + 295704/7*t = 0. Calculate t.
-222
Let q(t) be the third derivative of 0*t - 7*t**2 + 0 + 2/3*t**4 - 4/3*t**3 + 1/6*t**5. Find b, given that q(b) = 0.
-2, 2/5
Let u = 14332 - 28661/2. Let u*v**2 + 0*v + 0 = 0. What is v?
0
Let k be 10/(-3)*(13 - 16). Suppose 2*m + 3*m - k = 0. Let -15*v**2 + 4 + 17*v**m + v - 7*v = 0. What is v?
1, 2
Let r(s) be the first derivative of s**7/35 + 7*s**6/60 + 8*s**5/45 + s**4/9 + 11*s**2/2 + 14. Let v(w) be the second derivative of r(w). Factor v(g).
2*g*(g + 1)*(3*g + 2)**2/3
Let k = -2595 - -2608. Let a(b) be the third derivative of 0 + 0*b**3 + k*b**2 - 1/108*b**4 + 1/270*b**5 + 0*b. Factor a(y).
2*y*(y - 1)/9
Let u(p) = -15*p**3 - 10*p**2 + 35*p. Let q(l) = -17*l**3 - 11*l**2 + 36*l. Let d(s) = 5*q(s) - 6*u(s). Let d(j) = 0. What is j?
-3, 0, 2
Suppose 0*j = j + 8. Let s(d) = -5*d**2 + 2*d - 3. Let n = -35 + 32. Let c(a) = 14*a**2 - 6*a + 8. Let i(g) = j*s(g) + n*c(g). Solve i(l) = 0.
0, 1
Let u(z) be the second derivative of 5*z**4/12 + 5*z**3 + 25*z**2/2 - 70*z + 2. Factor u(v).
5*(v + 1)*(v + 5)
Suppose 2*j - 108 = 5*g + 96, 4*j - 372 = g. Let x = -90 + j. Solve 0 + 1/6*y**x + 0*y + 0*y**3 - 1/6*y**4 = 0.
-1, 0, 1
Let n(v) be the first derivative of -2*v**3/3 - 5*v**2 + 12*v - 640. Let n(x) = 0. Calculate x.
-6, 1
Find b, given that -210*b**2 - 160 - 1345*b**4 + 1340*b**4 - 320*b - 73*b**3 + 18*b**3 = 0.
-4, -2, -1
Let n = -474072 + 21334159/45. Let i = n + -101/5. Factor -4/9 - 2/3*q - i*q**2.
-2*(q + 1)*(q + 2)/9
Let g(c) = -5*c**3 + 3*c**2 - 4*c. Let o(x) = 4*x**3 - 3*x**2 + 3*x + 1. Let p(w) = -3*g(w) - 4*o(w). Suppose p(h) = 0. What is h?
-1, 2
Let j(t) be the third derivative of -t**5/30 - 215*t**4/6 - 46225*t**3/3 + 774*t**2 + t. Let j(q) = 0. What is q?
-215
Let x be 4 + (1 - 1) - 0. Suppose 5*m**2 - 4*m**x + m**2 + 55*m - 2*m**5 + 6*m**3 + 2*m**2 - 63*m = 0. Calculate m.
-2, 0, 1
Let m be (-67)/(-335) + 1/45. Suppose 2/9*u**4 - 2/9*u**3 - m*u**2 + 0 + 2/9*u = 0. What is u?
-1, 0, 1
Let m(o) be the third derivative of 2*o**7/735 + 2*o**6/21 + o**5/3 - 10*o**4/21 - 24*o**3/7 + 2*o**2 + 311*o. Determine k so that m(k) = 0.
-18, -2, -1, 1
Let -63/5*g + 3/5*g**2 + 0 = 0. What is g?
0, 21
Let n = 3047 + -3045. Factor o + 5/4*o**3 - 3*o**n + 0.
o*(o - 2)*(5*o - 2)/4
Let l(t) be the third derivative of -t**5/60 - 3*t**4/2 - 54*t**3 - t**2 - 37*t. Let l(w) = 0. Calculate w.
-18
Let o(a) be the first derivative of 26 - 21/8*a**2 - 3/20*a**5 + 5/6*a**3 - 1/24*a**6 + 3/8*a**4 + 9/4*a. Factor o(t).
-(t - 1)**3*(t + 3)**2/4
Let o = 49002 + -343010/7. Let -2/7*r + 0 - o*r**2 - 2/7*r**3 = 0. What is r?
-1, 0
Solve c + c**4 + 5/3*c**3 + 0 - 11/3*c**2 = 0 for c.
-3, 0, 1/3, 1
Let r(x) be the third derivative of -1/570*x**5 + 0*x + 27*x**2 + 0 + 0*x**3 + 1/57*x**4. Factor r(o).
-2*o*(o - 4)/19
Let k(g) = 5*g**3 - 5*g**4 - 3 - 1 - 1 - 3*g - 1 + 9*g**2. Let r(h) = h**4 - h**3. Let m(n) = -k(n) - 2*r(n). Factor m(t).
3*(t - 2)*(t - 1)*(t + 1)**2
Solve 285/4*l + 3/8*l**2 + 27075/8 = 0 for l.
-95
Let b(r) be the third derivative of -r**8/24192 - 11*r**7/15120 - r**6/540 + r**5/30 - 22*r**2. Let i(x) be the third derivative of b(x). Factor i(h).
-(h + 4)*(5*h + 2)/6
Suppose -u + 8 = 3*u. Suppose 4*h - u*h = 10. Let -h*b**2 + 20*b - b - 3*b + 4*b**3 - 11*b**2 = 0. What is b?
0, 2
Let i(p) be the second derivative of 7/135*p**6 - 2/15*p**5 + 2/27*p**3 + 0*p**2 + 0 + 1/18*p**4 + 15*p. Find c such that i(c) = 0.
-2/7, 0, 1
Suppose w = -4*s + 12, 3 = -2*w + s - 0. Let h(t) be the first derivative of w*t**2 + t**3 - 5 - 1/2*t + 3/10*t**5 - t**4. Factor h(v).
(v - 1)**3*(3*v + 1)/2
Let t(y) = y**3 - y**2 - y. Let a(r) = -7*r**4 - 43*r**3 + 66*r**2 - 20*r. Let z(k) = 5*a(k) - 20*t(k). What is i in z(i) = 0?
-8, 0, 2/7, 1
Let q(y) be the third derivative of y**8/84 + 2*y**7/15 - 11*y**6/30 - 23*y**5/15 + 5*y**4/3 + 32*y**3/3 + 48*y**2 + 3*y. Suppose q(a) = 0. What is a?
-8, -1, 1, 2
Let a(t) be the first derivative of -2*t**4/3 - 28*t**3/9 - 14*t**2/3 - 8*t/3 + 36. Suppose a(k) = 0. Calculate k.
-2, -1, -1/2
Let f(m) = -m**2 + m + 1. Let t(l) = -3*l**2 - 14*l - 16. Let a(b) = -10*f(b) + 2*t(b). Factor a(q).
2*(q + 1)*(2*q - 21)
Let y be 5/(-3)*(-4)/5. Let u(p) = p**3 + 2*p**2 - 25*p - 63. Let i be u(-3). Find j such that 2/3*j - y*j**4 + 0*j**i + 4/3*j**2 + 0 - 2/3*j**5 = 0.
-1, 0, 1
Suppose -5*v = 4*n - 0*n - 90, 66 = 4*v + 2*n. Factor 6 + 4*y**2 - v*y + 0*y**2 + 0*y**2 + 4*y**2.
2*(y - 1)*(4*y - 3)
Let y be (-1566)/(-216) - (6 - -1). Let h(a) be the first derivative of a**2 + y*a**4 + a**3 + 0*a + 8. Find w such that h(w) = 0.
-2, -1, 0
Let x(v) be the first derivative of -3*v**6/140 + 23*v**5/70 - 43*v**4/84 + v**3/3 - 19*v**2 + 11. Let z(n) be the second derivative of x(n). Factor z(s).
-2*(s - 7)*(3*s - 1)**2/7
Let h be ((-12)/(-63))/(1619/810 - 2). Let k = -154 - h. Solve 0*u - 2/7*u**4 + 0 + 2/7*u**3 - k*u**5 + 2/7*u**2 = 0.
-1, 0, 1
Let x = -20318 + 20320. Determine j so that 1/3*j + j**3 + 0 + 4/3*j**x = 0.
-1, -1/3, 0
Let m(o) be the second derivative of o**6/30 - o**5/20 - 5*o**4/12 - o**3/2 - 180*o. Solve m(x) = 0 for x.
-1, 0, 3
Let f(x) = 4*x**2 - 28*x - 80. Let w(z) = -8*z**2 + 64*z + 160. Let v(l) = 11*f(l) + 6*w(l). Suppose v(o) = 0. Calculate o.
-1, 20
Let s(d) be the first derivative of 2*d**5/55 - 12*d**4/11 + 368*d**3/33 - 480*d**2/11 + 800*d/11 + 21. Factor s(l).
2*(l - 10)**2*(l - 2)**2/11
Let p(z) be the first derivative of 1/6*z**2 + 0*z - 1/12*z**4 - 1/9*z**3 - 9 + 1/15*z**5. Factor p(t).
t*(t - 1)**2*(t + 1)/3
Determine l, given that 20/9*l**2 + 14/9*l - 392/9 - 2/9*l**3 = 0.
-4, 7
Let l(h) be the third derivative of h**5/180 + 17*h**4/72 + 8*h**3/9 + 57*h**2. Determine v so that l(v) = 0.
-16, -1
Let m(j) be the first derivative of -j**5/45 + j**4/3 + 2*j**3/3 - 18*j**2 - 81*j - 60. Factor m(o).
-(o - 9)**2*(o + 3)**2/9
Let q(u) be the second derivative of -7/120*u**6 + 0*u**2 - 3/8*u**4 - 2/3*u**3 - 5*u + 1/4*u**5 + 0. Let f(p) be the second derivative of q(p). Factor f(a).
-3*(a - 1)*(7*a - 3)
Let r(p) be the third derivative of -p**8/42 - p**7/70 + 29*p**6/120 + 5*p**5/12 - 3*p**4/8 - 5*p**3/3 - 40*p**2 + 4. Let r(z) = 0. Calculate z.
-1, 5/8, 2
Suppose 0 = -0*f - 3*f + 6. Determine a, given that 5*a**4 - 4*a**f + 44*a**2 + 25*a**3 - 189*a + 209*a = 0.
-2, -1, 0
Factor 10*u - 4*u**3 + 16*u**3 - 4*u**3 - 3*u**2 - 9*u**3.
-u*(u - 2)*(u + 5)
Let s(k) be the third derivative of -k**8/6720 - 