- 2)**2*(f + 1)/6
Find g such that 9 - 4*g - 1/4*g**2 = 0.
-18, 2
Let b = 12 + -7. Suppose -b*z + 4 = -11. Let -3*d**2 + 4*d**3 + 2*d**2 - z*d**3 = 0. Calculate d.
0, 1
Let d(p) be the second derivative of p**7/6300 - p**6/1800 - 3*p**4/2 + 14*p. Let q(z) be the third derivative of d(z). Factor q(o).
2*o*(o - 1)/5
Let v(u) = 27*u**3 + 2*u**2 - 5*u + 2. Let i be v(2). What is r in i*r - 1 - 741*r**2 + 1458*r**3 - 231*r**2 - 15 = 0?
2/9
Suppose -4*c = -0*c - 2528. Let n = -5672/9 + c. Factor 8/9 - n*l + 2/3*l**2.
2*(l - 2)*(3*l - 2)/9
Let d(u) be the third derivative of u**7/315 - 17*u**6/60 - 326*u**2. Solve d(r) = 0.
0, 51
Let f be 56/24*(-84)/(-98). Factor 4/3*k + 16/9*k**2 - 4/3*k**3 + 2/9*k**4 - f.
2*(k - 3)**2*(k - 1)*(k + 1)/9
Let d = -24 + -27. Let q = d - -53. Let -2/7*j**q + 4/7*j - 2/7 = 0. What is j?
1
Suppose 2*z**3 + 3 - 2*z**4 - z**5 - 1 + 5*z + 2*z + 18*z**2 - 10*z**2 = 0. What is z?
-1, 2
Let b be 330/(-180) - 20/(-6). Factor -9/2*k + b*k**2 + 0.
3*k*(k - 3)/2
Let x(o) = 3*o**3 - 10*o**2 - 9*o - 2. Let w(f) = -2*f**2 - 1. Let i(t) = -2*w(t) + x(t). What is a in i(a) = 0?
-1, 0, 3
Let a(z) be the third derivative of 13*z**2 - 1/4*z**4 - 1/40*z**6 + 0 + 0*z**3 + 0*z - 3/20*z**5. Factor a(q).
-3*q*(q + 1)*(q + 2)
Let y = 10 - 8. Suppose -4*r + y*g + 8 = -8, 1 = r + g. Factor -1/2*u**r + 3/2*u + 1 + 0*u**2.
-(u - 2)*(u + 1)**2/2
Let u(m) be the first derivative of -m**4/4 + 6*m**3 - 54*m**2 - 24*m + 19. Let l(o) be the first derivative of u(o). Factor l(y).
-3*(y - 6)**2
Let y(l) be the second derivative of 1/3*l**4 + 0*l**2 + 4/3*l**3 + 2/21*l**7 - 2/15*l**6 + 0 - 3/5*l**5 - 39*l. Factor y(z).
4*z*(z - 2)*(z - 1)*(z + 1)**2
Let b(g) be the third derivative of 0 + 1/18*g**3 - 1/180*g**5 + 2*g**2 + 0*g**4 + 0*g. Solve b(k) = 0.
-1, 1
Let r(v) be the third derivative of 0*v**6 + 0 + 0*v**4 + 0*v**5 + 0*v**3 + 0*v + 2/1365*v**7 - 8*v**2 - 1/2184*v**8. Solve r(b) = 0 for b.
0, 2
Suppose 7*p - 4*p = 9. Factor -168*y**4 - 2*y**p + 167*y**4 + 3*y**3.
-y**3*(y - 1)
Suppose 0 = -a - 3*a + 20. Suppose -20 + 9 = -2*p + 3*z, -a*p - 5*z + 15 = 0. Suppose 1/4*s - 1/4*s**3 + 0 - 1/4*s**p + 1/4*s**2 = 0. What is s?
-1, 0, 1
Factor 0*a**2 + 253 + 135*a - 5*a**2 - 383.
-5*(a - 26)*(a - 1)
Let j be (-1710)/(-760)*(-4)/(-3). Let q(x) be the first derivative of 0*x + 0*x**j + 7 - 1/3*x**4 + 2/3*x**2. Factor q(a).
-4*a*(a - 1)*(a + 1)/3
Let t(i) be the second derivative of -i**7/560 + i**6/240 + i**5/80 - i**4/16 - 2*i**3 + 15*i. Let p(a) be the second derivative of t(a). What is w in p(w) = 0?
-1, 1
Let z(b) be the third derivative of -b**6/160 - b**5/20 - 5*b**4/32 - b**3/4 - b**2 + 16. Factor z(y).
-3*(y + 1)**2*(y + 2)/4
Suppose -3*v = -4*o + 25, -4*o - 5*v + 0 + 1 = 0. Solve -o*z + z**4 - 2*z**3 - 10*z + 14*z - 3*z**2 = 0 for z.
-1, 0, 3
Let d = -1377 + 1381. Factor -4/3 + 10/9*s**3 + d*s**2 + 14/9*s.
2*(s + 1)*(s + 3)*(5*s - 2)/9
Suppose -5*f + 11*x = 8*x - 19, 7 = f + x. Let j(h) = -3*h**2 + 15*h + 2. Let y be j(f). Factor -6/11 - 8/11*m - 2/11*m**y.
-2*(m + 1)*(m + 3)/11
Let r(p) = -4*p**2 + 232*p + 212. Let v(h) = 6*h**2 - 234*h - 208. Let f(q) = -4*r(q) - 3*v(q). Factor f(i).
-2*(i + 1)*(i + 112)
Suppose 1036*u**3 + 525*u**4 - 24 - 1359*u**2 + 50*u + 704*u**3 + 268*u = 0. Calculate u.
-4, 1/5, 2/7
Suppose 21*x - 2 - 124 = 0. Let n(p) be the second derivative of 0*p**4 + 0*p**3 - 5*p + 1/50*p**5 + 0*p**2 + 1/105*p**7 + 0 - 2/75*p**x. What is q in n(q) = 0?
0, 1
Let x be (-8)/(-16) + (-143)/(-2). Determine c so that c**3 - 56*c - 20*c**2 + x*c + 3*c**3 = 0.
0, 1, 4
Let k = 2/21 - 1/35. Let q(f) be the first derivative of 4 + 0*f - 2/15*f**3 + 0*f**2 + 1/10*f**4 + 2/25*f**5 - k*f**6. Factor q(h).
-2*h**2*(h - 1)**2*(h + 1)/5
Suppose 170 = 4*a - 9*a. Let b = 36 + a. Let 6/7*v - 4/7 - 2/7*v**b = 0. Calculate v.
1, 2
Factor -62/3*n - 2/3*n**3 + 22/3*n**2 + 14.
-2*(n - 7)*(n - 3)*(n - 1)/3
Let l be (6 - 12)/(-1*2). Factor -k**4 + l*k**4 + k**3 - 2*k**2 - k**4.
k**2*(k - 1)*(k + 2)
Let f(v) = v**2 + 5. Let z be f(8). Factor 109*l**2 - 196 + z*l - 113*l**2 - 13*l.
-4*(l - 7)**2
Let u be (-6)/60 + 145/58. Suppose -8/5*x**4 + u*x**3 + 0 - 8/5*x**2 + 2/5*x**5 + 2/5*x = 0. What is x?
0, 1
Let -36*f**2 + 38*f**3 + 58*f - 48 + 37*f - 15*f - 34*f**3 = 0. What is f?
1, 2, 6
Let q = -9657/14 + 4839/7. Find h, given that 441/2*h**2 - 63/2*h**3 + q*h**4 - 1029/2*h + 0 = 0.
0, 7
Let g(z) be the third derivative of 7*z**6/300 + z**5/75 - 7*z**4/60 - 2*z**3/15 - 12*z**2 - 3. Determine t so that g(t) = 0.
-1, -2/7, 1
Let q(i) be the first derivative of 8/5*i**3 - 3 + 1/2*i**4 + 1/25*i**5 + 11/5*i**2 + 7/5*i. Determine a, given that q(a) = 0.
-7, -1
Let l = 183/29 - 2549/551. Factor -2/19*m**3 - 18/19*m**2 - 48/19*m - l.
-2*(m + 1)*(m + 4)**2/19
Let r(f) be the third derivative of -f**5/12 - 5*f**4/12 + 5*f**3/2 + 100*f**2. Factor r(o).
-5*(o - 1)*(o + 3)
Solve 34*m**2 - 139*m + 1/4*m**3 + 140 = 0 for m.
-140, 2
Factor -9*s**2 + 12*s + 3/2*s**3 + 0.
3*s*(s - 4)*(s - 2)/2
Solve -600 - 2/3*s**2 + 40*s = 0 for s.
30
Let v be ((-84)/(-693)*11)/(2 - 4/3). Factor 10/11*i + 2/11*i**3 - 8/11*i**v - 4/11.
2*(i - 2)*(i - 1)**2/11
Factor -2/11*v**2 - 52/11 - 54/11*v.
-2*(v + 1)*(v + 26)/11
Let p(z) be the third derivative of -1/120*z**6 + 0 - 1/6*z**3 + 1/24*z**4 + 1/60*z**5 + 0*z - 19*z**2. Let p(i) = 0. Calculate i.
-1, 1
Let t(a) be the second derivative of -2/27*a**3 + 0 - 2*a + 1/108*a**4 + 1/6*a**2. Factor t(i).
(i - 3)*(i - 1)/9
Let o(d) = 8*d**3 + 288*d**2 - d - 33. Let f be o(-36). Let 1/3*t + 0 + 1/2*t**2 + 1/6*t**f = 0. Calculate t.
-2, -1, 0
Factor -19/5*c**3 - 6/5*c**4 - 9/5*c - 1/5 - 21/5*c**2.
-(c + 1)**3*(6*c + 1)/5
Let y = 201 - 194. Suppose -27 = -y*h + 8. What is l in -3/4*l**h + 3/4*l**3 + 0 + 3/4*l**4 + 0*l - 3/4*l**2 = 0?
-1, 0, 1
Let u(l) be the second derivative of -11*l + 1/15*l**3 + 0*l**2 + 1/30*l**4 + 0. Find m such that u(m) = 0.
-1, 0
Find v, given that 16*v**5 + 85*v**4 + 48*v**2 - 52*v**5 + 95*v**4 - 272*v**3 + 80*v**4 = 0.
0, 2/9, 1, 6
Let f(n) be the first derivative of n**4/32 - 3*n**2/16 + n/4 + 71. Factor f(j).
(j - 1)**2*(j + 2)/8
Let a = -9580 + 28744/3. Find y such that 32/3 - 4*y**3 + 16*y - a*y**4 + 8/3*y**2 = 0.
-2, -1, 2
Let g be 0 - (0 - (0 - -4)). Factor -19*f + 15*f + 4*f**2 + g*f**3 - 4 + 0*f**3.
4*(f - 1)*(f + 1)**2
Let g(a) = 9*a**2 - 59*a - 56. Let u(i) = -10*i**2 + 60*i + 55. Let n(p) = -5*g(p) - 4*u(p). Factor n(z).
-5*(z - 12)*(z + 1)
Let r(f) be the third derivative of f**8/168 + 5*f**7/63 + 19*f**6/54 + f**5/3 - 5*f**4/4 + f**3 - 35*f**2. Factor r(o).
2*(o + 3)**3*(3*o - 1)**2/9
Let u(l) be the first derivative of l**4/44 + 10*l**3/33 + 14*l**2/11 + 24*l/11 + 103. Factor u(o).
(o + 2)**2*(o + 6)/11
Let z(h) be the third derivative of -h**7/42 - 2*h**6/15 - 3*h**5/10 - h**4/3 + 11*h**3/6 + 10*h**2. Let y(q) be the first derivative of z(q). Factor y(d).
-4*(d + 1)**2*(5*d + 2)
Factor -23 - 11*x**2 + 56*x + 11*x - 9*x + 20*x - 3*x**3 + 79.
-(x - 4)*(x + 7)*(3*x + 2)
Suppose 0 = 4*q - 17 - 31. Let m = -9 + q. Determine t, given that -t + 3*t**3 - 5*t**3 + m*t + 0*t = 0.
-1, 0, 1
Let u(k) be the first derivative of -k**4/2 + 82*k**3/3 + k**2 - 82*k - 815. Find h such that u(h) = 0.
-1, 1, 41
Let f(u) = 15*u**4 + 108*u**3 + 489*u**2 - 90*u - 477. Let r(n) = 7*n**4 + 54*n**3 + 244*n**2 - 46*n - 239. Let w(l) = 4*f(l) - 9*r(l). Factor w(y).
-3*(y - 1)*(y + 1)*(y + 9)**2
Let f be 2/3 + 8/6. Suppose f = 3*l - c - 3, -2*l + 7 = 3*c. What is b in 0*b**l + 0 + 0*b - 2/7*b**3 = 0?
0
Let p(g) be the third derivative of -g**6/360 - g**5/18 - 23*g**4/72 - 7*g**3/9 - 33*g**2. Suppose p(l) = 0. What is l?
-7, -2, -1
Let r(w) = 12*w**2 - 16*w + 32. Let m(n) = n**3 + 14*n**2 + 2*n + 8. Let p be m(-14). Let l(q) = q**2. Let b(c) = p*l(c) + 2*r(c). What is v in b(v) = 0?
4
Let t = 31 + -34. Let z(v) = -2*v**5 - 3*v**4 - 3*v**3 - 3. Let h(d) = 3*d**5 + 5*d**4 + 5*d**3 + 5. Let n(f) = t*h(f) - 5*z(f). Let n(r) = 0. What is r?
0
Let r(t) be the third derivative of 1/40*t**6 - 1/60*t**5 + 0*t + 0*t**3 + 1/336*t**8 + 0 - 1/70*t**7 + 0*t**4 + 10*t**2. Determine m so that r(m) = 0.
0, 1
Let o(b) be the first derivative of 0*b + 3*b**2 - 7*b**3 + 7 + 15/4*b**4. Factor o(x).
3*x*(x - 1)*(5*x - 2)
Let b(r) = 101*r - 909. Let j be b(9). Factor -2/7 + 2/