9.
2*(q + 1)*(q + 2)/9
Let -51/7*t - 12/7*t**3 + 10/7 + 47/7*t**2 = 0. What is t?
1/4, 5/3, 2
Let c(g) be the first derivative of g**3/3 - g - 1. Let k = -107 + 106. Let m(f) = f**3 - 7*f**2 + 5*f + 1. Let n(i) = k*m(i) - 3*c(i). Factor n(r).
-(r - 2)*(r - 1)**2
Suppose -3*f + 22 - 40 = 0. Let c be f/10 - (0 + -1). Factor -2/15*o**3 - 2/15 - 2/5*o**2 - c*o.
-2*(o + 1)**3/15
Let l = -8 + 14. Let k be l/8 - (-21)/4. Solve 6*f - 3*f**2 - k*f + 3*f**4 = 0.
-1, 0, 1
Let y(a) be the first derivative of a**6/2340 - a**4/156 - 14*a**3/3 - 13. Let g(i) be the third derivative of y(i). Factor g(f).
2*(f - 1)*(f + 1)/13
Let v(h) = -16*h**4 - 17*h**3 + 34*h**2 + 113*h + 5. Let a(m) = -7*m**4 - 8*m**3 + 19*m**2 + 56*m + 2. Let z(n) = -5*a(n) + 2*v(n). What is p in z(p) = 0?
-3, -2, 0, 3
Let m(g) be the third derivative of g**6/480 + 17*g**5/240 + 19*g**4/48 - 7*g**3/3 + 2*g**2 + 88*g. Find v such that m(v) = 0.
-14, -4, 1
Factor 2/9*i**3 - 8/9 - 10/9*i**2 + 16/9*i.
2*(i - 2)**2*(i - 1)/9
Let g(l) be the second derivative of -3*l**5/20 + 3*l**4/4 + 4*l + 4. Factor g(h).
-3*h**2*(h - 3)
Suppose -4*t = 8, 0*g - 4*g + 4*t - 576 = 0. Let b = g - -149. Suppose k**4 + 0 + 1/2*k**5 - k**2 + 0*k**b - 1/2*k = 0. Calculate k.
-1, 0, 1
Let w(k) be the first derivative of -2*k**4 - 4*k**3/9 - 378. Suppose w(c) = 0. Calculate c.
-1/6, 0
Let v(h) = -h**4 - h**3 + h**2 - h. Let x(r) = 13*r**4 + 11*r**3 - 22*r**2 + 10*r. Let z(u) = 30*v(u) + 5*x(u). Find p such that z(p) = 0.
-2, 0, 2/7, 1
Suppose 0 = 4*r - s + 38 - 59, -s = -r + 9. Determine h, given that 0*h**3 - 1/2*h**5 - h**r + 0 + h**2 + 1/2*h = 0.
-1, 0, 1
Suppose -3*y - 5*i + i + 139 = 0, 3*i - 183 = -4*y. Solve 36*j**3 + y*j**3 - 91*j**3 - 5*j**4 = 0 for j.
-2, 0
Let w(g) be the third derivative of g**5/3 - 7*g**4/6 - 8*g**2 + 10. Factor w(x).
4*x*(5*x - 7)
Let t(a) = -65*a**2 + 980*a - 6845. Let q(b) = -9*b**2 + 140*b - 978. Let h(j) = -15*q(j) + 2*t(j). Factor h(l).
5*(l - 14)**2
Let n(d) be the first derivative of 15 - 5/3*d**3 - 5*d + 5*d**2. Factor n(w).
-5*(w - 1)**2
Let l = 800/609 - -10/87. Factor l*n - 6/7 - 2/7*n**3 - 2/7*n**2.
-2*(n - 1)**2*(n + 3)/7
Let p(b) be the second derivative of b**7/21 + 16*b**6/15 - 18*b**5/5 + b**4/3 + 35*b**3/3 - 18*b**2 - 594*b. Determine i, given that p(i) = 0.
-18, -1, 1
Factor 17 + 168*h - 2780*h**2 + 2933*h**2 - 16 + 21*h**3 + 35.
3*(h + 1)*(h + 6)*(7*h + 2)
Solve 117*c - 4375 + 4456 + 39*c**2 + 5*c**3 - 2*c**3 = 0 for c.
-9, -3, -1
Suppose 0 = 272*z + 640 - 640. Find l, given that -3/4*l - 3/8*l**3 + z - 9/8*l**2 = 0.
-2, -1, 0
Factor -2/5*l**3 + 2646/5 + 18*l**2 - 1134/5*l.
-2*(l - 21)**2*(l - 3)/5
Let q(d) = 10*d**2 + 240*d + 230. Let b(n) = -n**2 - 22*n - 21. Let f = 62 + -66. Let c(g) = f*q(g) - 45*b(g). Let c(r) = 0. Calculate r.
-5, -1
Suppose -5*o = 0, -3 = -f - 2*o - 2*o. Let j be 54/70 + 93/(-465). Factor 0 - 6/7*p**2 + j*p + 2/7*p**f.
2*p*(p - 2)*(p - 1)/7
Let f be ((-10)/6 + 3)*(-18)/(-4). Let x be ((-3)/f)/((-14)/35). Determine c so that 25/4*c**3 + 4*c**5 + 1/4 + 10*c**4 - 5/4*c - x*c**2 = 0.
-1, 1/4
Let k(a) be the third derivative of -1/18*a**4 - 1/90*a**5 + 0 + 4*a**2 + 0*a + 0*a**3. Factor k(s).
-2*s*(s + 2)/3
Let f(m) be the second derivative of 289*m**5/4 + 1615*m**4/12 + 175*m**3/6 + 5*m**2/2 - m + 41. Determine g, given that f(g) = 0.
-1, -1/17
Let c = -6332 - -6332. Factor 0*x**3 + 0*x - 1/3*x**5 + 0 + c*x**2 + 2/3*x**4.
-x**4*(x - 2)/3
Let h be (17/34)/(1/6). Factor q - 4*q**h + 3*q - 26*q**2 + 38*q**2 - 12.
-4*(q - 3)*(q - 1)*(q + 1)
Suppose 4*f + 0*l - 20 = 2*l, 4*f = l + 16. Let q(j) be the first derivative of 0*j**2 - 3 + 0*j**f + 1/20*j**5 + 0*j + 1/16*j**4. Factor q(a).
a**3*(a + 1)/4
Let f(l) be the second derivative of -3*l**5/100 - 2*l**4/5 - 8*l**3/5 - 29*l. Factor f(y).
-3*y*(y + 4)**2/5
Let v(a) be the second derivative of a**6/18 - a**5/12 - 55*a**4/18 + 100*a**3/9 + 53*a + 3. Factor v(k).
5*k*(k - 4)*(k - 2)*(k + 5)/3
Factor -2/5*w**2 + 0 + 8/5*w.
-2*w*(w - 4)/5
Find g, given that 3*g**2 + 305 - 587 + 51*g + 372 = 0.
-15, -2
Suppose 0 = -s + 3*n + 28, -s - 34*n + 12 = -35*n. Solve -1/3*z**2 - 1/9*z**s + 0 - 1/3*z**3 - 1/9*z = 0.
-1, 0
Let -726/5 - 10*t**2 + 374/5*t + 2/5*t**3 = 0. What is t?
3, 11
Let g(z) be the second derivative of 2*z**6/15 - 2*z**5 + 17*z**4/3 - 16*z**3/3 - 47*z. Factor g(n).
4*n*(n - 8)*(n - 1)**2
Let n(i) = -i**3 - i + 1. Let y(q) = -3*q**3 - 544*q**2 - 36993*q + 1. Let b(r) = 2*n(r) - 2*y(r). Let b(s) = 0. Calculate s.
-136, 0
Let x = 1/805 - -257/483. Suppose x*j + 2/15*j**2 + 0 = 0. What is j?
-4, 0
Let p = 10 + -13. Let n be (34/p)/((-10)/60). Factor -n*j + 2*j**2 + 68*j - 2.
2*(j - 1)*(j + 1)
Let i be (75/(-30))/((-5)/8). Let n(q) be the third derivative of -1/36*q**i - 8*q**2 + 0 + 0*q**3 + 0*q - 1/90*q**5. Factor n(v).
-2*v*(v + 1)/3
Let c(f) be the first derivative of -15*f**4/4 + 64*f**3 - 366*f**2/5 + 144*f/5 - 49. Factor c(z).
-3*(z - 12)*(5*z - 2)**2/5
Let u(s) be the third derivative of -s**5/15 - 3*s**4/2 - 28*s**3/3 - 106*s**2. Factor u(r).
-4*(r + 2)*(r + 7)
Suppose 4*d = -0*d + 2*c - 6, -d = 2*c - 6. Let a(l) be the third derivative of -8*l**2 + 0 + 1/8*l**4 + 0*l**3 + 0*l + d*l**5 - 1/40*l**6. Factor a(k).
-3*k*(k - 1)*(k + 1)
Let d(c) be the first derivative of -c**6/60 + c**5/30 - 4*c**2 - 2. Let p(n) be the second derivative of d(n). Factor p(z).
-2*z**2*(z - 1)
Let p(h) be the first derivative of -h**5/5 - 37*h**4/8 - 211*h**3/6 - 92*h**2 - 96*h + 18. Solve p(i) = 0.
-8, -3/2, -1
Let l be ((-1360)/30)/(-8) - 3. Determine p, given that 0 - l*p + 2/3*p**2 = 0.
0, 4
Factor -8*n + 1/2*n**2 + 32.
(n - 8)**2/2
Suppose 6*t - 15*t = -882. Let -27*s + 27*s + 35*s + 14*s**2 + 18 + 31*s - t*s**3 = 0. What is s?
-3/7, 1
Let z(p) be the second derivative of -2*p**6/15 + 9*p**5/5 - 5*p**4 + 14*p**3/3 - 125*p - 2. Factor z(b).
-4*b*(b - 7)*(b - 1)**2
Let a(g) be the first derivative of 3*g**4/4 + g**3 - 15*g**2/2 + 9*g + 51. Let a(l) = 0. What is l?
-3, 1
Let o = 0 + 0. Suppose o*p + 24 = -4*p. Let a(n) = 4*n**3 - 7*n**2 - 6*n - 5. Let m(h) = 5*h**3 - 8*h**2 - 7*h - 6. Let u(j) = p*a(j) + 5*m(j). Factor u(b).
b*(b + 1)**2
Let k(a) be the third derivative of -a**8/1680 - 4*a**7/525 - 11*a**6/300 - 2*a**5/25 - 3*a**4/40 - a**2 - 35*a. Suppose k(b) = 0. Calculate b.
-3, -1, 0
Let f(p) be the first derivative of -29 + 0*p - 7/8*p**2 - 1/12*p**3. Factor f(r).
-r*(r + 7)/4
Let k(f) = 3*f - 16. Let m = 54 - 48. Let q be k(m). Factor 0*u - 2/5*u**q + 0.
-2*u**2/5
Suppose 5*w = -2*p + 16, -5*w = 5*p - 2*p - 19. Factor -3*k**w + 5 - 1 + 7*k**2 + 8*k.
4*(k + 1)**2
Let n = 58801/105 - 560. Let b(m) be the second derivative of 5*m - 2/35*m**5 - n*m**6 - 5/42*m**4 - 2/21*m**3 + 0*m**2 + 0. Factor b(r).
-2*r*(r + 1)**2*(r + 2)/7
Let b = -3/196 + 401/588. Let t(u) be the first derivative of b*u + 2/3*u**2 + 1 + 2/9*u**3. Let t(v) = 0. Calculate v.
-1
Let z(s) = 496*s - 1. Let g be z(1). Let r be (-1 - -7)*g/18. Determine i, given that 73*i**5 + 29*i - 52*i**3 - 5*i + 2*i**5 + 34*i**3 - 84*i**2 + r*i**4 = 0.
-2, -1, 0, 2/5
Suppose -2*n + 31 = -5*z, 4*n + 2*z - 6*z - 32 = 0. Let 38 - 5*g**4 - 110*g**2 + 42 + 35*g**2 + 12*g**n + 28*g**3 - 40*g = 0. What is g?
-1, 1, 4
Let m(s) be the third derivative of -s**5/80 - 5*s**4/8 - 25*s**3/2 - s**2 - 41. Solve m(p) = 0 for p.
-10
Let h(z) = z**4 - 3*z**3 - 6*z**2 - 5*z + 3. Let y(b) = -2*b**4 + 3*b**3 + 7*b**2 + 4*b - 2. Let x(l) = -2*h(l) - 3*y(l). Factor x(j).
j*(j - 2)*(j + 1)*(4*j + 1)
Suppose -41*i + 676 = 297*i. What is j in 0 - 6/11*j**i - 2/11*j - 6/11*j**3 - 2/11*j**4 = 0?
-1, 0
Suppose -3*l = 5*i - 29, -3*l + 0*i + 1 = -2*i. Factor -7*o**3 + 2*o**2 + 12*o**l + 5*o - 12*o**2.
5*o*(o - 1)**2
Let g(c) be the second derivative of c**4/12 + 5*c**3/3 + 11*c**2/2 + 7*c. Let a be g(-9). Factor 3/4 + f + 1/4*f**a.
(f + 1)*(f + 3)/4
Suppose x + 2*j + 44 = 6*j, -5*j = 4*x + 134. Let a be x/(-10) + (-8)/(-20). Factor 12*h**4 - 4*h**a + 2*h**3 - 6*h**4.
2*h**3*(h + 1)
Factor 3/7*a**2 + 0 + 0*a.
3*a**2/7
Let u(x) be the second derivative of 0 - 21/2*x**2 + 3*x**3 + 1/4*x**4 - 12*x. Suppose u(b) = 0. Calculate b.
-7, 1
Let x(p) be the first derivative of -64/35*p**5 + 24/7*p**3 + 0*p**2 + 4 - 15/7*p**4 + 0*p - 2/7*p**6. Factor x(u).
-4*u**2*(u + 3)**2*(3*u - 2)/7
Suppose -3*q = 