 45*a**2 - 40*a - 579. Suppose t(b) = 0. What is b?
-4, 1, 2
Let p(r) = 3 - 9 - 1 + r**2 - 2*r**2 + 7*r. Let f be p(4). Suppose -u**3 + 0*u**f - u**4 + 0*u**2 + u**2 + u**5 = 0. Calculate u.
-1, 0, 1
Let z(t) be the first derivative of 2*t**6/9 - 28*t**5/15 + 16*t**4/3 - 16*t**3/3 - 80. Factor z(i).
4*i**2*(i - 3)*(i - 2)**2/3
Let l(a) = -21*a**4 + 15*a**3 + 18*a**2. Let z(u) = -u**2 + 3 - 48*u**3 + u**4 - 3 + 47*u**3. Let r = 0 + 1. Let x(m) = r*l(m) + 18*z(m). Factor x(b).
-3*b**3*(b + 1)
Let n(t) = -12*t - 7. Let y be n(-11). Let 95*c + 50*c**2 + y*c**4 - 10 - 166*c**2 - 79*c**2 - 175*c**3 = 0. Calculate c.
-1, 1/5, 2
Suppose 10*s + 9*s = 19. Let m be 31/105 + s/(15/2). Factor -1/7*o**2 - 2/7*o + m.
-(o - 1)*(o + 3)/7
Factor 2/11*q**2 + 4232/11 + 184/11*q.
2*(q + 46)**2/11
Let h(s) be the second derivative of -2*s**7/21 + 2*s**5/5 - 2*s**3/3 - 424*s. Solve h(o) = 0 for o.
-1, 0, 1
Let q(d) be the third derivative of -d**6/90 + 2*d**5/15 - 2*d**4/3 - d**3/2 + 8*d**2. Let j(z) be the first derivative of q(z). Suppose j(s) = 0. Calculate s.
2
Suppose m - 299 = -4*l + 2*m, -77 = -l - 2*m. Find q such that -11*q**2 - 87*q**3 + 0*q + 2*q**2 + 3*q + l*q**3 = 0.
-1, 0, 1/4
Let m = -45 + 42. Let f(i) = 7*i**4 - 6*i**3 + 4*i**2 - 4*i. Let x(c) = 6*c**4 - 6*c**3 + 3*c**2 - 3*c. Let k(q) = m*f(q) + 4*x(q). Factor k(a).
3*a**3*(a - 2)
Let x = 1621 + -4861/3. Factor -2/3*m**3 - 2/3*m**4 + x*m + 0 + 2/3*m**2.
-2*m*(m - 1)*(m + 1)**2/3
Let v(y) = 4*y**2 - 38*y - 15. Let z be v(10). Let s(a) be the second derivative of 0 + 2*a - 1/150*a**6 + 0*a**4 + 1/100*a**z + 0*a**3 + 0*a**2. Factor s(u).
-u**3*(u - 1)/5
Suppose 0 = 129*w - 117*w - 36. Let p(u) be the second derivative of 0*u**2 + w*u**5 + 0 + 16/3*u**3 - 26/3*u**4 + 6*u. Factor p(i).
4*i*(3*i - 4)*(5*i - 2)
Factor 4/3*h**2 - 20*h + 104/3.
4*(h - 13)*(h - 2)/3
Let t(x) = 2*x**3 - 96*x**2 - 2*x + 108. Let s(v) = -v**3 + 95*v**2 + v - 104. Let l(q) = 4*s(q) + 3*t(q). What is w in l(w) = 0?
-46, -1, 1
Let g be (21/(-63))/(2/(-4)). What is z in -z**5 - g + 4/3*z**3 - 1/3*z - 4/3*z**4 + 2*z**2 = 0?
-1, 2/3, 1
Let a(h) be the first derivative of -h**5/50 + 3*h**4/20 - h**3/10 - 2*h**2/5 + 18*h + 23. Let k(n) be the first derivative of a(n). Let k(s) = 0. What is s?
-1/2, 1, 4
Let z be (10 - 0)*(-6 - (-155)/25). Factor -3/2*x + 1 + 1/2*x**z.
(x - 2)*(x - 1)/2
Find o such that 405/4*o**2 + 135/2*o + 0 - 5/4*o**5 - 5/4*o**4 + 135/4*o**3 = 0.
-3, -1, 0, 6
Let b(d) be the third derivative of d**7/945 - d**6/270 + d**5/270 - 13*d**2. Factor b(l).
2*l**2*(l - 1)**2/9
Solve 2*k**3 + 0*k + 0 + 2/5*k**4 + 0*k**2 = 0.
-5, 0
Factor -208/3*l + 5408/3 + 2/3*l**2.
2*(l - 52)**2/3
Let o be 176/(-10) - (-2)/(-5). Let t = -13 - o. Factor -4*q + 3*q**4 + q**t + 3*q - q**4 - 2*q**2.
q*(q - 1)*(q + 1)**3
Let f(l) be the third derivative of -l**5/30 + l**4/4 + 22*l**2. Let j(s) = s**2 + s. Let o(v) = -f(v) - 6*j(v). Suppose o(k) = 0. Calculate k.
-3, 0
Let q(a) be the first derivative of 7*a**6/51 + 122*a**5/85 + 75*a**4/17 + 128*a**3/51 - 32*a**2/17 + 2. Let q(z) = 0. Calculate z.
-4, -1, 0, 2/7
Let m(d) = -d**3 + d**2 - 2. Let r = 40 - 38. Let x(f) = 2*f**3 - 2*f**2 + 5. Let o(b) = r*x(b) + 5*m(b). Solve o(w) = 0.
0, 1
Find l such that -8*l**3 - 663/5*l**2 - 323/5*l + 16/5*l**4 - 8 = 0.
-5, -1/4, 8
Let k be ((-8)/2)/(-4) + (4 - 0). Let t be 60/(-36)*1/(-1*k). Factor t*p - 1/3*p**3 + 0 + 0*p**2.
-p*(p - 1)*(p + 1)/3
Suppose 4*t = -3*g + 16, g + 5*t - 23 = -3. Determine k, given that g - 4/7*k - 2*k**2 = 0.
-2/7, 0
Factor -11*g**2 - 137*g - 15*g**4 + 131*g - 16*g**2 - 36*g**3.
-3*g*(g + 1)**2*(5*g + 2)
Let n(j) be the first derivative of -1/15*j**5 - 7/12*j**4 - 8/9*j**3 + 0*j - 14 + 8/3*j**2. Determine i so that n(i) = 0.
-4, 0, 1
Let v = 7 + -8. Let d be -2*(-2 - 0/v). Factor -3*o**2 - 24*o**d - 12*o**3 + 16*o**2 - 6 + o + 15*o**5 + 17*o**2 - 4*o.
3*(o - 1)**3*(o + 1)*(5*o + 2)
Let b(f) be the third derivative of 6*f**6/35 - 16*f**5/35 + 13*f**4/42 - 2*f**3/21 + 19*f**2 + f. Find q, given that b(q) = 0.
1/6, 1
Let b(h) = -h**3 - 22*h**2 + 22*h - 19. Let m be b(-23). Let a be (1*m)/2 + (-8)/12. Find g, given that -13/3*g**2 - 11/3*g - a*g**3 - 2/3 = 0.
-2, -1, -1/4
Solve 12/7 - 1/7*k**2 - 1/7*k**3 + 8/7*k = 0 for k.
-2, 3
Let q = -214 - -151. Let g = 63 + q. Factor 1/2*c**4 + 0 + c**3 + 1/2*c**2 + g*c.
c**2*(c + 1)**2/2
Let m(c) be the first derivative of -3*c**4 - 13*c**3 - 33*c**2/2 - 6*c + 5. Find l, given that m(l) = 0.
-2, -1, -1/4
Let x be 24/(-3) + 9 + (-3)/9. Let t(z) be the first derivative of -x*z**3 - 4*z**2 - 1/24*z**4 + 7 - 32/3*z. Factor t(v).
-(v + 4)**3/6
Factor 0 - 2*v + 3/2*v**3 + 0*v**2 + 1/2*v**4.
v*(v - 1)*(v + 2)**2/2
Let z(p) be the second derivative of 0 + 0*p**2 + 1/12*p**4 + p**3 + 20*p. Factor z(a).
a*(a + 6)
Let u(p) be the third derivative of -p**6/24 - 25*p**5/12 - 130*p**4/3 - 480*p**3 + 727*p**2. Let u(j) = 0. Calculate j.
-9, -8
Let d be 3 + 1017*-4*3/(-36). Let q = d + -2388/7. Factor -12/7*m**3 - 6/7 + 9/7*m + 3/7*m**5 + 0*m**4 + q*m**2.
3*(m - 1)**3*(m + 1)*(m + 2)/7
Let h(v) be the first derivative of -v**4/26 - 2*v**3/39 + 8*v**2/13 + 24*v/13 + 596. Determine t, given that h(t) = 0.
-2, 3
Let x(v) = -v**3 - v**2 - 7*v - 14. Let u be x(-2). Suppose -15/2*r + 61/4*r**2 + 1 - 49/8*r**u - 21/8*r**3 = 0. What is r?
-2, 2/7, 1
Find j such that 35*j**2 + 0*j**3 + 10*j + 5*j**3 - 22*j + 0*j**3 - 28*j = 0.
-8, 0, 1
Factor 1/5*a**4 + 29/5*a**3 + 249/5*a**2 + 559/5*a + 338/5.
(a + 1)*(a + 2)*(a + 13)**2/5
Let c be -24*33/(-176) + (-5)/2. Let n(g) be the second derivative of -1/24*g**4 - 4*g + 1/2*g**c + 1/12*g**3 + 0. Let n(r) = 0. What is r?
-1, 2
Let v(a) be the second derivative of -a**4/30 + 9*a**3/5 + 28*a**2/5 - 5*a - 14. Factor v(b).
-2*(b - 28)*(b + 1)/5
Let v(h) be the third derivative of 0*h**6 + 0*h + 0 + 1/672*h**8 + 0*h**4 - 8*h**2 + 0*h**5 + 0*h**7 + 0*h**3. Solve v(p) = 0 for p.
0
Let v(d) = -9*d**5 + 23*d**3 - 44*d**2 - 40*d - 8. Let x(y) = 3*y**5 - 8*y**3 + 14*y**2 + 13*y + 2. Let r(g) = 4*v(g) + 13*x(g). Let r(b) = 0. What is b?
-2, -1, 1
Suppose -12 = -3*p, -9*l - 3*p = -14*l - 12. Let i(o) be the third derivative of 0 + 1/3*o**3 + 1/24*o**4 - 1/60*o**5 + l*o + 13*o**2. Factor i(k).
-(k - 2)*(k + 1)
Let q(t) be the second derivative of 17*t + 0*t**2 + 1/4*t**4 - 3/20*t**5 + t**3 + 0. Factor q(c).
-3*c*(c - 2)*(c + 1)
Suppose 3*d - 7*d = -28. Suppose -d*z + 3*z + 24 = 0. Factor 8*n**2 - 4 + 0 - z*n**2 - 4*n - 2.
2*(n - 3)*(n + 1)
Let 2/15*c**2 + 16/15 - 6/5*c = 0. Calculate c.
1, 8
Suppose 0 = -5*k + 10, -3*b + 1 + 9 = 5*k. Suppose b*j - 5*j = -15. Suppose 4*t - 2 - 2*t**j + 6*t**3 + 2 + 8*t**2 = 0. Calculate t.
-1, 0
Let v(j) be the first derivative of j**5/450 + j**4/10 + 9*j**3/5 + 14*j**2 + 27. Let n(r) be the second derivative of v(r). Factor n(x).
2*(x + 9)**2/15
Suppose -y = -3*p + 13, 2*p = 5*p - 4*y - 25. Suppose -2*s = -6*s + 12. Factor u - u - p*u**4 - 6*u**3 + s + 6*u.
-3*(u - 1)*(u + 1)**3
Let k(q) be the third derivative of -3/700*q**7 - 7/1200*q**6 + 0*q + 20*q**2 + 0*q**4 + 0 + 1/300*q**5 + 0*q**3. Factor k(j).
-j**2*(j + 1)*(9*j - 2)/10
Let t(q) = 20*q + 244. Let x be t(-12). Determine r, given that 5*r + 5/4*r**x + 0*r**2 + 0 - 15/4*r**3 = 0.
-1, 0, 2
Let r = -163 - -283. Let l be r*5/(75/6). Determine v so that -2 + 17*v**2 + 48*v - 21*v**4 - l*v**3 + 5 - 8*v**2 + 9 = 0.
-2, -1, -2/7, 1
Factor 12*s + 75*s**2 + 26*s + 77*s**2 - 63 - 153*s**2 + 26.
-(s - 37)*(s - 1)
Let w(f) = -7*f**2 - 214*f - 8*f**2 + 6*f**3 + 230*f - 5*f**2. Let c(g) = -7*g**3 + 20*g**2 - 16*g. Let k(d) = -2*c(d) - 3*w(d). Find z, given that k(z) = 0.
0, 1, 4
Factor 8*q**4 + q**4 - 5*q**5 + 63*q + 3*q**5 + 8*q**5 - 30 - 15*q**2 - 33*q**3.
3*(q - 1)**3*(q + 2)*(2*q + 5)
Let d(j) be the first derivative of -3*j**4/16 + 29*j**3/4 + 3*j**2/8 - 87*j/4 - 48. Suppose d(o) = 0. What is o?
-1, 1, 29
Let x(w) be the first derivative of -w**3/9 + 12*w**2 - 432*w + 101. Determine h, given that x(h) = 0.
36
Suppose 291 = 4*n - 317. Suppose 155*u = n*u + 12. Solve 1/5*r**2 - 1/5*r**3 + 0 - 1/5*r**u + 1/5*r = 0 for r.
-1, 0, 1
Let p(h) be the first derivative of h**6/18 - h**5/15 - h**4/4 + h**3/9 + h**2/3 - 615. Factor p(m).
m*(m - 2)*(m - 1)*(m + 1)**2/3
Let j(k) = -k**3 - 20*k**2 + 31*k - 22. Let b(p) = 2*