b. Suppose b + 4/9*u**3 - 8/9*u**4 + 2/9*u**5 + 8/9*u**2 - 2/3*u = 0. Calculate u.
-1, 0, 1, 3
Suppose 0 = 8*x - 39 + 23. Let q(f) be the first derivative of -3/8*f**4 + 0*f - 3/20*f**5 + 3/4*f**x - 2 + 1/4*f**3. Factor q(y).
-3*y*(y - 1)*(y + 1)*(y + 2)/4
Determine c, given that -81/2 + 9*c - 1/2*c**2 = 0.
9
Let u(k) = 158*k + 1898. Let m be u(-12). Determine z, given that -2/3*z - 2/9*z**m + 8/9 = 0.
-4, 1
Let c(x) be the third derivative of -x**8/112 - x**7/14 - x**6/20 + 2*x**5/5 - 5*x**2. Determine w so that c(w) = 0.
-4, -2, 0, 1
Let n = 32/447 - -1277/894. What is x in n - 1/2*x**2 - x = 0?
-3, 1
Let j(d) = 8*d**4 + 25*d**3 + 16*d**2 - 10*d - 6. Let h(q) = -9*q**4 - 24*q**3 - 17*q**2 + 10*q + 8. Let z(y) = -3*h(y) - 4*j(y). Factor z(t).
-t*(t + 1)*(t + 5)*(5*t - 2)
Let f = 41 - 41. Find q, given that 28*q**3 + 3 - 28*q + f*q**3 - 8*q**2 - 2 + 7 = 0.
-1, 2/7, 1
Suppose 0 = 2*y + 4*v - 26, -5*v = y - 5*y - 13. Let b be y/15*(5 - 4). Let -1/5*n**3 + 0*n - 2/5*n**4 + 0 + 2/5*n**2 + b*n**5 = 0. What is n?
-1, 0, 1, 2
Let a = -1/179 + 212/5907. Let i(v) be the second derivative of 0*v**2 + 5*v - a*v**3 + 8/165*v**6 + 1/77*v**7 + 0*v**4 + 0 + 3/55*v**5. Factor i(x).
2*x*(x + 1)**3*(3*x - 1)/11
Let i(t) be the third derivative of 2/5*t**5 - 1/2*t**3 + 1/4*t**4 - 1/28*t**8 - 1/10*t**7 + 0*t + 7*t**2 + 1/20*t**6 + 0. Determine c so that i(c) = 0.
-1, 1/4, 1
Let i(f) be the third derivative of 1/20*f**4 - 3/200*f**6 + 0 + 0*f - 3/560*f**8 + 3/100*f**5 - 3*f**2 + 0*f**3 - 1/50*f**7. Factor i(g).
-3*g*(g + 1)**3*(3*g - 2)/5
What is v in -2*v**2 - 116/3*v + 80/3 = 0?
-20, 2/3
Suppose q = -2*d + 23, -14 = -2*d - 4*q - 6. Suppose -2*j + d = 6. Suppose 0 + 16/9*x + 4/3*x**3 + 2/9*x**j + 8/3*x**2 = 0. Calculate x.
-2, 0
Let g = 66 + -63. Factor -13*x + 37*x - 8*x**2 - 2*x**g - 14*x.
-2*x*(x - 1)*(x + 5)
Let h(v) = 2 - 2 + 3. Let y(d) = d**3 - d**2 - d + 3. Let q(w) = -2*h(w) + 3*y(w). Factor q(g).
3*(g - 1)**2*(g + 1)
Let z(f) = 4*f**3 - 9*f + 10 - 3*f**3 + 9*f**2 - 2*f**3. Let j be z(8). Factor 4/3 + 0*n - 1/3*n**j.
-(n - 2)*(n + 2)/3
Suppose 5*t = 3*s - 15, -t + 2*t = s - 3. Determine r, given that -8/3*r**3 + 4/3*r**4 + 0*r**2 + 0 + s*r = 0.
0, 2
Let j(z) be the second derivative of -z**6/60 + z**5/40 + z**4/6 - z**3/3 + 152*z. Determine i, given that j(i) = 0.
-2, 0, 1, 2
Let u(l) = 6*l**2 - 37*l + 31. Let o(h) = -3*h**2 + 18*h - 15. Let m(c) = -c**3 - c + 3. Let d be m(2). Let a(i) = d*o(i) - 3*u(i). Factor a(b).
3*(b - 4)*(b - 1)
Let a(m) be the first derivative of m**4/24 + 2*m**3/3 + 7*m**2/4 + 5*m/3 + 97. Factor a(k).
(k + 1)**2*(k + 10)/6
Suppose 0 = -3*v + 2*n - 17, 0*n = -2*v + 4*n - 22. Let h be (52/351)/((-2)/v). Find b such that -h*b**3 + 0*b + 2/9*b**2 + 0 = 0.
0, 1
Let t(k) = 6*k**2 - 1. Let a be t(-1). Suppose 5*f + 11*o - 14*o = 0, 3*f = 5*o. Solve 0*u - 4/5*u**4 + f*u**2 - 2/5*u**a - 2/5*u**3 + 0 = 0.
-1, 0
Let t(o) be the third derivative of -o**8/48 + 29*o**7/105 - 17*o**6/12 + 53*o**5/15 - 37*o**4/8 + 3*o**3 + 122*o**2. What is s in t(s) = 0?
2/7, 1, 3
Let a be -4*(-2)/16*-2. Let u(j) = -2*j**2 + 4*j - 8. Let m(c) = 1. Let l(q) = a*u(q) - 6*m(q). Factor l(w).
2*(w - 1)**2
Let p(a) = -a**3 - 3*a**2 - 5*a - 3. Let w(o) = o - 3*o + 3*o + 1. Let l(g) = -3*g + 29. Let d be l(10). Let v(k) = d*p(k) - 2*w(k). Solve v(h) = 0 for h.
-1
Let i be (-10 - (-5 + 0)) + 7. Factor 0*x**2 - 11*x**i + 42 + 141*x - 10*x**2.
-3*(x - 7)*(7*x + 2)
Let v be (-376)/32 + (-2)/8. Let u be (v/(-10))/(2/5). Determine n so that 0*n**2 - u*n**2 + 6 + 0*n**2 + 0 + 3*n = 0.
-1, 2
Let t be 117/(-26)*-2 + -9. Let z(v) be the second derivative of -1/6*v**2 + 1/9*v**3 - 1/36*v**4 + 14*v + t. Factor z(r).
-(r - 1)**2/3
Let b be -1 + (3 - (-4 + 3)). Suppose -4*q = -3*d - b, 1 = -q + 5*q - d. Determine x so that -8/3*x**2 + q + 4/3*x = 0.
0, 1/2
Factor 0 + 48/7*s - 2/7*s**2.
-2*s*(s - 24)/7
Let t(z) be the third derivative of z**7/21 - z**6/24 - 5*z**5/12 - 5*z**4/12 + 54*z**2. Factor t(j).
5*j*(j - 2)*(j + 1)*(2*j + 1)
Factor -4/21 - 6/7*f**2 - 2/21*f**4 + 2/3*f + 10/21*f**3.
-2*(f - 2)*(f - 1)**3/21
Suppose 175 = 23*k + 129. Solve 3/2*s**3 - 15/2*s**k + 0 + 0*s = 0 for s.
0, 5
Factor 0 + 72/7*m**3 + 0*m - 162/7*m**4 - 8/7*m**2.
-2*m**2*(9*m - 2)**2/7
Let g(c) be the first derivative of -c**4/24 - c**3/18 - 107. Determine u so that g(u) = 0.
-1, 0
Solve -2/13*g**5 + 64/13*g - 54/13*g**2 + 10/13*g**3 + 6/13*g**4 - 24/13 = 0.
-3, 1, 2
Let u(l) be the second derivative of l**7/210 + l**6/90 - l**5/15 - 6*l**3 - 30*l. Let j(c) be the second derivative of u(c). Find v such that j(v) = 0.
-2, 0, 1
Suppose -5*b + 56 = -9. Suppose -b = -m - 11. Find s, given that 0*s**3 + 35*s**4 + s**5 + s**3 - 2*s**5 - 36*s**4 + s**m = 0.
-1, 0, 1
Let v = -150 - -139. Let s be (-30)/(-50) + v/(-15). Factor 22/3*l**3 - 8*l + s*l**2 + 2/3*l**5 - 16/3 + 4*l**4.
2*(l - 1)*(l + 1)*(l + 2)**3/3
Let f(h) be the first derivative of -34 - 12*h + 15/2*h**2 - h**3. Factor f(k).
-3*(k - 4)*(k - 1)
Let j = 2 + -2. Suppose x + 4 + 2 = j. Let h(g) = -7*g**2 - g - 5. Let f(k) = 4*k**2 + k + 3. Let a(p) = x*h(p) - 10*f(p). Solve a(d) = 0.
0, 2
Let x(q) be the first derivative of -q**6/1800 - q**5/600 - 3*q**3 + 7. Let i(b) be the third derivative of x(b). Factor i(p).
-p*(p + 1)/5
Let z(g) be the second derivative of g**6/120 + g**5/16 + g**4/12 - 50*g. Factor z(p).
p**2*(p + 1)*(p + 4)/4
Determine h so that -8*h - 2/3*h**2 + 26/3 = 0.
-13, 1
Determine i, given that 905*i**2 + 234*i**3 - 743*i**2 - 96*i - 19*i**3 + 8 + 51*i**3 = 0.
-1, 2/19, 2/7
Let d(b) be the third derivative of -1/20*b**5 + 38*b**2 + 1/40*b**6 + 6*b**3 - b**4 + 0 + 0*b. Find x such that d(x) = 0.
-3, 2
Let m(c) be the first derivative of 605*c**6/12 - 22*c**5 - 1795*c**4/8 + 935*c**3/3 - 125*c**2 + 20*c - 19. Determine n so that m(n) = 0.
-2, 2/11, 1
Let d = -48 - -66. Let b be -2*((-40)/d + 2). Let -2/9 - b*h - 2/9*h**2 = 0. Calculate h.
-1
Suppose -28 = -l - 4*j, -5*l + 6*l - 43 = j. Factor -12*u + 23*u + l*u**3 + 5*u**5 - 11*u + 25*u**4 + 20*u**2.
5*u**2*(u + 1)*(u + 2)**2
Suppose -2*u = -5*t - 5*u - 5187, 4*u + 1051 = -t. Let n be 6 + t/175 + (-1)/(-5). Factor -32/7 + 16/7*s - n*s**2.
-2*(s - 4)**2/7
Let f(d) = d**2 - 8*d + 12. Let y(c) = 7*c**3 - 3*c**2 - 2*c + 4. Let w be y(1). Let h be f(w). Factor h*r - 5/3*r**3 + 5*r**2 + 0.
-5*r**2*(r - 3)/3
Factor -137*c**3 - 1 - 16*c**2 + 16*c + 141*c**3 + 1.
4*c*(c - 2)**2
Let f = 286 - 286. Let p(c) be the third derivative of 2*c**2 + 0*c**6 + 0*c - 1/630*c**7 + 0*c**4 + 1/180*c**5 + f*c**3 + 0. Factor p(q).
-q**2*(q - 1)*(q + 1)/3
Let p(j) be the first derivative of 1/70*j**5 - 1/21*j**3 + 1/21*j**4 - j - 2/7*j**2 - 12. Let l(r) be the first derivative of p(r). Factor l(q).
2*(q - 1)*(q + 1)*(q + 2)/7
Let t(g) = 36*g**4 - 548*g**3 + 784*g**2 + 3356*g + 2044. Let j(y) = 4*y**4 - 61*y**3 + 87*y**2 + 373*y + 227. Let v(p) = -28*j(p) + 3*t(p). Factor v(n).
-4*(n - 14)*(n - 4)*(n + 1)**2
Let y(a) be the first derivative of a**5/160 - 7*a**4/16 + 49*a**3/4 - 343*a**2/2 - 7*a - 7. Let t(c) be the first derivative of y(c). What is u in t(u) = 0?
14
Let u = -57 + 57. Suppose -9*z**2 - z**3 + u*z**3 + 8*z**2 = 0. Calculate z.
-1, 0
Suppose 0*i - 72 = 6*i. Let g be (-1)/(3/i) + 5. Factor -g*k**5 + 10*k**5 - 5*k**5.
-4*k**5
Let l(n) be the first derivative of -4*n**4 + 20*n**2 - 12*n + 2*n**4 - 2*n**3 - 4 + 5*n**2 + 44. Suppose l(s) = 0. What is s?
-3, 1/4, 2
Let f(g) = -g**4 + 9*g**3 - 56*g**2 + 88*g - 4. Let w(l) = 2*l**4 - 17*l**3 + 112*l**2 - 178*l + 9. Let v(t) = -9*f(t) - 4*w(t). Factor v(h).
h*(h - 5)*(h - 4)**2
Let k(g) be the first derivative of 1/4*g**2 + 1/48*g**4 + 1/8*g**3 - 10*g - 5. Let y(q) be the first derivative of k(q). Factor y(w).
(w + 1)*(w + 2)/4
Let t(v) = -41*v + 2. Let r be t(-1). Let -4*h**4 + 23*h**2 - r*h**2 + 2*h**5 - 4*h**3 + 2*h + 28*h**2 - 4 = 0. What is h?
-1, 1, 2
Suppose 0 = 50*b - 66*b + 80. Let k(a) be the second derivative of 1/7*a**3 - 1/28*a**4 + 0 - 4*a + 0*a**2 - 3/140*a**b. Solve k(v) = 0.
-2, 0, 1
Let x be (6/(-16))/(144/(-64)). Let y(b) be the third derivative of 0*b**4 + 7*b**2 + 1/240*b**5 + 0 - x*b**3 + 0*b. Factor y(i).
(i - 2)*(i + 2)/4
Let w be ((2/5)/1)/((-1)/(-5)). Solve 3*l**2 - 2*l**2 + 6*l**2 - 4*l**w = 0 for l.
0
Let i(x) be the second deriv