t n(i) = a*b(i) + p(i). Find r such that n(r) = 0.
-1, 5
Factor 10/7*y**2 + 23/7*y + 10/7 - 4/7*y**4 + 1/7*y**5 - 8/7*y**3.
(y - 5)*(y - 2)*(y + 1)**3/7
Let c(y) be the second derivative of y**4/78 + 17*y**3/13 + 50*y**2/13 - 155*y. Factor c(z).
2*(z + 1)*(z + 50)/13
Let i be (-670)/(-520) + (-5)/(-4) + -1. Let p = i + -194/143. Factor -4/11 - 2/11*j + p*j**2.
2*(j - 2)*(j + 1)/11
Let h(w) be the second derivative of -w**5/8 + 25*w**4/24 - 5*w**3/2 - 6*w + 16. Factor h(k).
-5*k*(k - 3)*(k - 2)/2
Let t(u) = u**3 + 9*u**2 + 7*u + 15. Let a be t(-9). Let n be (a/7 - -8)/((-4)/(-14)). Let -2/3*r**n - 4/3*r**3 + 0 - 2/3*r**2 + 0*r = 0. Calculate r.
-1, 0
Let f(w) be the first derivative of -2*w**5/45 + 37*w**4/18 - 80*w**3/3 + 36*w**2 + 549. Factor f(m).
-2*m*(m - 18)**2*(m - 1)/9
Let h be 99/44 - (11/(-4) - -3). Let f(i) be the first derivative of 2/9*i**h + 0*i + 7 - 1/18*i**4 - 2/27*i**3. Determine j so that f(j) = 0.
-2, 0, 1
Let r(d) be the third derivative of -1/30*d**5 + 1/24*d**6 + 0*d + 0*d**3 + 17*d**2 + 1/336*d**8 - 2/105*d**7 + 0*d**4 + 0. Suppose r(v) = 0. What is v?
0, 1, 2
Factor -4*i**3 - 1/3*i**4 - 36*i - 27 - 18*i**2.
-(i + 3)**4/3
Let -100 + 3*s**2 - 35*s - 49*s - 99*s + 88*s + 2*s**2 = 0. Calculate s.
-1, 20
Let j(c) be the second derivative of -c**5/70 + 13*c**4/42 - 4*c**3/7 - 81*c. Determine w, given that j(w) = 0.
0, 1, 12
Let a(o) be the third derivative of 2*o**2 + 19/24*o**4 + o**3 + 0 + 0*o + 1/10*o**5. Let n(h) = 3*h**2 + 9*h + 3. Let t(r) = 3*a(r) - 7*n(r). Factor t(v).
-3*(v + 1)**2
Let w(i) be the third derivative of i**6/64 - 3*i**5/40 - 11*i**4/64 + 3*i**3/8 + 51*i**2. Factor w(g).
3*(g - 3)*(g + 1)*(5*g - 2)/8
Suppose 3*c - 4 + 16 = 0. Let z = 8 + c. Factor 8*j**2 - j + 17*j**z - 11*j**4 - 13*j**3 + 0*j.
j*(j - 1)**2*(6*j - 1)
Let -12/7*d**2 - 62/7*d - 10/7 = 0. What is d?
-5, -1/6
Factor 0 + 2/3*t**5 + 22/3*t**2 - 8/3*t - 6*t**3 + 2/3*t**4.
2*t*(t - 1)**3*(t + 4)/3
Factor 4/15*z + 0 - 166/15*z**2.
-2*z*(83*z - 2)/15
Let y = -137 - -688/5. What is m in -6/5 + 3/5*m**2 + y*m = 0?
-2, 1
Let g(p) = p + 4. Let a be g(5). Suppose -10 = 5*z - 35. Let 5*r**3 - a*r**3 + z*r**3 = 0. What is r?
0
Factor 5*h**3 - 5*h**3 - 33*h**4 - 32*h**5 + 29*h**5.
-3*h**4*(h + 11)
Suppose -711*x**4 + 158*x**2 + 0 + 5917/6*x**3 + 6*x + 243/2*x**5 = 0. What is x?
-2/27, 0, 3
Factor -2*k**5 + 12*k**2 + 77*k**4 - 2*k**5 - 33*k**4 - 40*k**4 + 20*k**3.
-4*k**2*(k - 3)*(k + 1)**2
Let b = 25 - 13. Suppose -18 = -4*g + 2*v, 3*g + v - 2*v - b = 0. Factor -4*a - a**g + a + 4*a**2 + 0*a**2.
-a*(a - 3)*(a - 1)
Let l(j) be the third derivative of j**6/810 - j**5/1080 - j**4/72 - 11*j**3/2 + 29*j**2. Let s(i) be the first derivative of l(i). Factor s(k).
(k - 1)*(4*k + 3)/9
Let g(i) be the first derivative of 7*i**5/10 + 19*i**4/6 + 16*i**3/3 + 9*i**2 + 13. Let k(c) be the second derivative of g(c). Factor k(n).
2*(3*n + 2)*(7*n + 8)
Let a be (-6)/(-9)*(-6)/1. Let x be 2/(0 + a/(-6)). Factor -10*i**2 - 2*i + 13*i**2 - 1 + 4*i**2 - 4*i**x.
-(i - 1)**2*(4*i + 1)
Suppose 0*i + 26 = 2*i. Suppose -w + i + 69 = 0. Suppose 15*l**2 - w*l - 3 - 11*l**3 + 2*l**3 + 79*l = 0. Calculate l.
-1/3, 1
Let c be ((-48)/14 - -3) + (-38)/(-7). Suppose c*a + 58 = 68. Suppose 1/2 + j + 1/2*j**a = 0. What is j?
-1
Let c(y) = 85*y**3 - 190*y**2 - 445*y + 805. Let q(x) = -43*x**3 + 92*x**2 + 222*x - 402. Let w(m) = -2*c(m) - 5*q(m). Factor w(a).
5*(a - 2)**2*(9*a + 20)
Determine t so that 17/3*t + 1/3*t**2 + 0 = 0.
-17, 0
Let c be ((-784)/147)/(65/(-60)). Factor 20/13*k**4 + c + 80/13*k**3 + 160/13*k + 160/13*k**2 + 2/13*k**5.
2*(k + 2)**5/13
Let r(b) = b**2 + b. Let f(h) = -47*h**2 + 36*h + 1. Let p(x) = -3*f(x) - 15*r(x). Factor p(n).
3*(n - 1)*(42*n + 1)
Let l(y) = 3*y**2 + 32*y + 37. Let g(p) = -6*p**2 - 63*p - 75. Let z(f) = 4*g(f) + 9*l(f). Determine o, given that z(o) = 0.
-11, -1
Let w = 28751 - 86251/3. Factor -16*d + 2/3*d**2 + 4*d**3 + 32/3 + w*d**4.
2*(d - 1)**2*(d + 4)**2/3
Factor 144/13*f - 2592/13 - 2/13*f**2.
-2*(f - 36)**2/13
Let h(g) be the first derivative of 5*g**3 - 183*g**2 + 144*g - 139. Suppose h(q) = 0. Calculate q.
2/5, 24
Let o(r) be the first derivative of r**5/360 + r**4/48 + 29*r**2/2 - r - 38. Let p(u) be the second derivative of o(u). Let p(g) = 0. What is g?
-3, 0
Let u(j) be the first derivative of -j**4/38 - 2*j**3/3 + 20*j**2/19 - 92. Factor u(v).
-2*v*(v - 1)*(v + 20)/19
Let d(j) = -j**3 + 4*j + 3. Let a be 5/(-10) + 6/(-4). Let i be d(a). Factor -68*y - 133*y**i + 134*y**2 + 46*y**2 - 42*y**4 + 25*y**3 + 8 - 66*y**4.
-4*(y + 2)*(3*y - 1)**3
Let x = -11 - -14. Suppose 1 - 6 = -5*c, 0 = x*h + 5*c - 14. Factor -d**3 + d**5 - 3*d**4 + 0*d**4 + 0*d**3 + h*d**2 - 2*d + 2*d**3.
d*(d - 2)*(d - 1)**2*(d + 1)
Determine q, given that 8/3*q + 0*q**2 - 2/3*q**3 + 0 = 0.
-2, 0, 2
Let u = -4/1455 + 648/485. Factor 4/3*m + 0*m**2 - u*m**3 + 0.
-4*m*(m - 1)*(m + 1)/3
Let v(u) be the first derivative of -u**4 + 32*u**3/3 - 34*u**2 + 40*u + 325. Suppose v(g) = 0. Calculate g.
1, 2, 5
Let n(f) be the third derivative of f**5/45 - 49*f**4/18 + 205*f**2 - f. Let n(y) = 0. Calculate y.
0, 49
Let x = -2852 - -57061/20. Let b = 5/4 - x. Factor b*i**2 + 4/5*i + 4/5.
(i + 2)**2/5
Let u(y) be the second derivative of -1/24*y**4 - 3/40*y**5 + 0 + 1/60*y**6 + 1/28*y**7 + 14*y + 0*y**3 + 0*y**2. Find m such that u(m) = 0.
-1, -1/3, 0, 1
Let c(s) be the second derivative of 20*s**2 + 0 - 9*s + 5/2*s**4 + 10*s**3 + 1/4*s**5. Find p such that c(p) = 0.
-2
Let y = 1156248 + -398906234/345. Let g = y + 48/23. Factor 0 - 2/15*b**4 - g*b + 2/15*b**2 + 2/15*b**3.
-2*b*(b - 1)**2*(b + 1)/15
Let k(l) be the second derivative of -2*l**4/21 + 5*l**3/21 - 3*l + 44. Factor k(o).
-2*o*(4*o - 5)/7
Let y(b) be the second derivative of -1/12*b**4 - 3/40*b**5 + 0 - 1/60*b**6 - 12*b + 0*b**2 + 0*b**3. Factor y(p).
-p**2*(p + 1)*(p + 2)/2
Let y(o) be the second derivative of o**4/48 - 7*o**3/24 - 9*o**2/4 + 72*o. Factor y(x).
(x - 9)*(x + 2)/4
Suppose 5*m = 2*m - k - 46, 5*m + 5*k + 90 = 0. Let c = m - -16. Factor -4/3*t**c + 2/3*t**4 + 2/3 + 0*t**3 + 0*t.
2*(t - 1)**2*(t + 1)**2/3
Let p(b) be the second derivative of b**6/120 - 3*b**5/10 - b**4/12 + 4*b**3 - 9*b - 20. Determine z, given that p(z) = 0.
-2, 0, 2, 24
Let p(b) = 3*b**5 - 4*b**3 + 2*b**2 + 3*b. Suppose -4*i + 2*i = 2. Let k = i + 2. Let a(o) = -o**5 + o**3 - o**2 - o. Let q(n) = k*p(n) + 2*a(n). Factor q(u).
u*(u - 1)**2*(u + 1)**2
Let l(v) = -v**5 + 3*v**4 + 9*v**3 + 8*v**2 - 3*v. Let p(n) = -n**2 + n. Let o(r) = l(r) + 3*p(r). Factor o(w).
-w**2*(w - 5)*(w + 1)**2
Suppose 3*n - 92 = -n. Suppose -3*w = 8*o - 3*o + 16, w - 4*o - n = 0. What is x in 3*x**2 - x + 3*x**3 - 3*x**4 - 5*x + 0*x**3 + w*x = 0?
-1, 0, 1
Let b be ((-10)/15)/(0 - (-3)/(-18)). Let u(l) be the third derivative of -1/120*l**5 + l**2 + 0*l - 1/4*l**3 - 1/12*l**b + 0. Determine a so that u(a) = 0.
-3, -1
Let d = -125 + 2001/16. Let q = d + 3/16. Factor -1/4*s**4 - q*s**3 + 1/4*s + 0 + 1/4*s**2.
-s*(s - 1)*(s + 1)**2/4
Let f(z) be the first derivative of -1/16*z**4 + 1/2*z**2 + 24 + 0*z + 0*z**3. Factor f(j).
-j*(j - 2)*(j + 2)/4
Let m(d) be the third derivative of -d**6/120 - 11*d**5/60 - 488*d**2. Factor m(a).
-a**2*(a + 11)
Suppose -1701 = -c - 6*c. Let v be 0 + -4 - -30*36/c. Factor 0*b + v*b**2 + 0 + 14/9*b**3.
2*b**2*(7*b + 2)/9
Factor 22/7*o + 2/7*o**3 - 12/7 - 12/7*o**2.
2*(o - 3)*(o - 2)*(o - 1)/7
Let y be 16/28 - 1 - (-13)/((-455)/(-15)). Let g = 344/315 - -2/105. Factor 8/9*v**3 + y + g*v**2 + 4/9*v + 2/9*v**4.
2*v*(v + 1)**2*(v + 2)/9
Let -240/7*h - 2/7*h**5 - 30/7*h**4 - 150/7*h**3 - 72/7 - 290/7*h**2 = 0. Calculate h.
-6, -1
Let p(y) = 4*y**2 - 149*y - 4494. Let l(v) = -5*v**2 + 152*v + 4495. Let a(i) = 5*l(i) + 6*p(i). Factor a(g).
-(g + 67)**2
Let w(v) be the first derivative of 0*v**3 + 22 - v - 1/8*v**4 + 3/4*v**2. Factor w(z).
-(z - 1)**2*(z + 2)/2
Let h(t) = -11*t**2 + 4*t - 6. Let k(x) = 21 + 32*x**2 - 42*x + 29*x - 4. Let b(o) = -17*h(o) - 6*k(o). Let b(u) = 0. What is u?
0, 2
Suppose 4*x - x = 4*w - 25, 2*w = -4*x - 4. Suppose 0 = w*h - 3 - 5. Factor 9/5*c + 3/5*c**h + 0.
3*c*(c + 3)/5
Let m(o) = -4*o - 15. Let f be m(-7). Suppose 2*g = f - 9. Factor 0 + 0*u**g - 2/5*u**3 - 2/5*u**4 + 0*u.
-2*u**3*(u + 1)/5
Let f(u) = -u + 4. Let h be 