 is w in o*w**3 + 0 - 1/4*w + 0*w**2 = 0?
-1, 0, 1
Let b be 4/(-7) + (46 + -25 - 19). Factor 0*y - 4/7*y**2 - b*y**3 + 0.
-2*y**2*(5*y + 2)/7
Determine z, given that 10*z + 2*z + 50 - 2 - 52*z**2 - 16*z**3 + 4*z + 4*z**4 = 0.
-2, -1, 1, 6
Let s(c) be the second derivative of 1/3*c**3 - 1/1800*c**6 + c - 3/40*c**4 + 0 + 1/100*c**5 + 0*c**2. Let f(y) be the second derivative of s(y). Factor f(b).
-(b - 3)**2/5
Let x be -4 - (0/(-9) - 6). Let g(w) be the second derivative of -1/50*w**5 + 1/15*w**3 - 2/5*w**x + 1/15*w**4 + 0 + 5*w. Factor g(r).
-2*(r - 2)*(r - 1)*(r + 1)/5
Let t(s) = s**2 - 2*s + 1. Let o(r) = -9*r**2 + 10*r - 8. Let j(k) = -3*o(k) - 24*t(k). Solve j(c) = 0 for c.
-6, 0
Factor 35/3 + 65/3*z + 25/3*z**2 - 5/3*z**3.
-5*(z - 7)*(z + 1)**2/3
Let y(f) be the second derivative of 0 - 1/5*f**2 - 1/10*f**3 - 1/60*f**4 + 5*f. Factor y(h).
-(h + 1)*(h + 2)/5
Let h(p) = -144*p**3 + 388*p**2 + 144*p + 8. Let x(r) = r**2 + r - 1. Let u(v) = h(v) - 4*x(v). Find s such that u(s) = 0.
-1/6, 3
Let n(i) be the third derivative of i**10/5400 + i**9/1680 - i**8/420 - i**7/315 + i**5/12 + 18*i**2. Let r(f) be the third derivative of n(f). Factor r(h).
4*h*(h - 1)*(h + 2)*(7*h + 2)
Let j(g) be the third derivative of -g**11/1330560 + g**9/241920 + g**5/10 + 13*g**2. Let t(d) be the third derivative of j(d). Factor t(i).
-i**3*(i - 1)*(i + 1)/4
Let i(a) be the second derivative of -1/4*a**2 + 1/6*a**3 - 1/24*a**4 + 0 - 7*a. Factor i(q).
-(q - 1)**2/2
Let c(y) be the second derivative of 0 - 560/3*y**3 + 11*y + 40*y**2 + 490*y**4 - 686*y**5 + 2401/6*y**6. Determine z so that c(z) = 0.
2/7
Let v(w) be the second derivative of -w**4/72 + 23*w**3/36 + 16*w + 1. Factor v(r).
-r*(r - 23)/6
Let x(m) = -6*m**4 - 40*m**3 - 83*m**2 - 35*m + 7. Let t(f) = -3*f**4 - 21*f**3 - 42*f**2 - 18*f + 3. Let y(v) = -7*t(v) + 3*x(v). Find r, given that y(r) = 0.
-7, -1, 0
Let v(b) = b**2 + 2*b + 2. Let q be v(-3). Let -20*g**4 - 20*g**2 + 24*g**3 + g**q + 4*g**5 + 5*g + 6*g**3 = 0. Calculate g.
0, 1
Let u(v) = -v**4 + v**3 - v. Let o(x) = 2*x**5 + 8*x**4 - 14*x**3 + x**2 + 12*x - 2. Let h(i) = -5*o(i) - 35*u(i). Suppose h(y) = 0. What is y?
-2, -1, 1/2, 1
Let x be (0/(-12))/(-1 - 2). Suppose -4*l - 4*m - m = -39, x = 3*m + 15. Suppose 6*q - l*q**3 - 5*q**3 + 12*q**3 - 18*q**3 - 21*q**2 = 0. What is q?
-1, 0, 2/9
Let f be (-2)/((-56)/(-6) + -10). Let z(x) be the first derivative of 8/3*x**2 + 5 + 4/9*x**f + 4*x. Factor z(y).
4*(y + 1)*(y + 3)/3
Let w be (-3 + (-10)/(-3))*39. Let u = 16 - w. Determine r so that r**2 - r + r + 9*r**u - r - 9*r**4 = 0.
-1/3, 0, 1/3, 1
Let u = -100 - -302/3. Let d = 21/8 - 47/24. Factor -4/3*f**3 - u*f**2 + 0 + 0*f - d*f**4.
-2*f**2*(f + 1)**2/3
Factor 1/5*f**2 + f - 1/5*f**3 + 3/5.
-(f - 3)*(f + 1)**2/5
Let s(h) be the first derivative of -h**5/150 + h**2/2 + 12. Let w(l) be the second derivative of s(l). Let w(t) = 0. Calculate t.
0
Let u(x) be the second derivative of -x**5/100 - x**4/10 - 11*x**3/30 - 3*x**2/5 + x + 49. Determine b, given that u(b) = 0.
-3, -2, -1
Let v be (1/2 - (-3)/2)*(-75)/(-50). Solve -1/3*q**v + 0 + 1/9*q**4 + 1/9*q**5 - 1/9*q**2 + 2/9*q = 0.
-2, -1, 0, 1
Let b(k) = -2*k**2 + 12*k + 2. Let o be b(6). Solve 2*l**2 + 4*l + 16 + 2 + 0*l**o + 8*l = 0.
-3
Let t be 82/8 + (-5)/20. Suppose -t = -7*j + 2*j. Let 3*k**2 - 4*k - 4*k + 5*k - 3*k**3 + 3*k**j = 0. Calculate k.
0, 1
Let f(k) be the first derivative of 0*k + 10 + 0*k**2 + 1/12*k**3 + 1/8*k**4 + 1/20*k**5. Find c such that f(c) = 0.
-1, 0
Suppose 28 = 4*l + 4*c, -2*l + 5 = 3*l - c. Determine m, given that 0 + m**2 + l - 6 = 0.
-2, 2
Let w(o) be the first derivative of 2*o**5/45 + 2*o**4/9 + 2*o**3/9 - 286. Factor w(x).
2*x**2*(x + 1)*(x + 3)/9
Suppose 2*a + a = 4*a. Let z(v) be the third derivative of a*v + 0*v**4 - 1/60*v**5 + 0*v**3 + 1/120*v**6 + 0 - v**2. Determine u, given that z(u) = 0.
0, 1
Let z = 23/130 + -1/13. Let f(i) be the second derivative of -1/14*i**7 + 0*i**4 + 0*i**2 + 0*i**5 - z*i**6 + 0 + 0*i**3 + 8*i. Factor f(b).
-3*b**4*(b + 1)
Factor 3675/4*x**2 + 0 + 3/4*x**4 - 105/2*x**3 + 0*x.
3*x**2*(x - 35)**2/4
Let z(w) be the third derivative of w**7/420 + w**6/120 - w**5/24 - w**4/8 + 15*w**2 - 4*w. Factor z(n).
n*(n - 2)*(n + 1)*(n + 3)/2
Let c(g) be the first derivative of 1/8*g**2 - 1/48*g**4 + 0*g**3 + 2*g - 1. Let n(m) be the first derivative of c(m). Factor n(w).
-(w - 1)*(w + 1)/4
Let x(g) = -721*g - 8646. Let r be x(-12). Factor r + 3/4*a**3 - 3/2*a**2 - 3*a.
3*(a - 2)**2*(a + 2)/4
Suppose 300/7*u + 0 + 296/7*u**2 - 4/7*u**3 = 0. What is u?
-1, 0, 75
Let u(m) be the third derivative of -m**8/840 + m**7/75 - m**6/50 - 2*m**2 + 5*m. Factor u(s).
-2*s**3*(s - 6)*(s - 1)/5
Let j be -238 + ((-8)/(-36) - 64/(-36)). Let x = j + 2128/9. Let 14/9*v**4 + 0 + 22/9*v**2 - x*v - 32/9*v**3 = 0. Calculate v.
0, 2/7, 1
Suppose c - 2 + 0 = 0. Determine g, given that c*g**4 - 6*g**3 + 4*g**5 + 14*g**3 + 10*g**4 = 0.
-2, -1, 0
Suppose -16 = 7*c - 9. Let k(q) = -5*q**2 + 10*q + 20. Let m(s) = -1. Let u(x) = c*k(x) - 5*m(x). What is j in u(j) = 0?
-1, 3
Let t(q) be the third derivative of 11*q**5/60 + 31*q**4/24 - q**3 - 21*q**2 + 1. Factor t(p).
(p + 3)*(11*p - 2)
Let k(h) be the third derivative of 0*h**3 + 0 - 1/30*h**5 + 1/120*h**6 + 0*h**4 + 0*h + 17*h**2 + 1/210*h**7. Factor k(l).
l**2*(l - 1)*(l + 2)
Let v be (4334/(-30))/1 + 15/(-45). Let s = 148 + v. Find p such that -12/5*p - s + 4/5*p**2 = 0.
-1, 4
Let r(d) be the third derivative of -d**6/480 + d**5/80 - d**4/32 + d**3/24 + 48*d**2. Factor r(j).
-(j - 1)**3/4
Find o such that 6/19*o**4 + 10/19*o**2 + 0 + 14/19*o**3 + 2/19*o = 0.
-1, -1/3, 0
Let a(w) = 5*w**2 + 3*w + 2. Let c be a(-2). Let f be (4/70)/((c/(-10))/(-8)). Factor 0 - 3/7*k**2 + f*k**3 + 1/7*k.
k*(k - 1)*(2*k - 1)/7
Let j = 3/32 + 43/224. Suppose u = 5*g - 21, g + 2*u - 10 = -2*g. Find q, given that 2/7*q**g + 2/7*q - 4/7*q**2 - 4/7*q**3 + 2/7 + j*q**5 = 0.
-1, 1
Let z(l) = 2*l**2 + 7*l - 2. Let b = 58 + -62. Let t be z(b). Find w such that 3/5*w - 2/5 + 0*w**t - 1/5*w**3 = 0.
-2, 1
Suppose 0 = -4*g, -3*s + 3*g + 24 = -7*s. Let t(z) = -z**2 - 12*z - 31. Let l be t(s). Factor 4*q**3 + 16/3*q**4 - 2/3*q + 2*q**l + 0 + 0*q**2.
2*q*(q + 1)**3*(3*q - 1)/3
Let a(c) be the first derivative of 2*c**3/3 - 8*c + 43. Factor a(t).
2*(t - 2)*(t + 2)
Let k(q) = 80*q**2 + 240*q + 120. Let h(r) = -39*r**2 - 121*r - 60. Let i(j) = 5*h(j) + 2*k(j). Factor i(m).
-5*(m + 3)*(7*m + 4)
Let j(n) = n**3 + n**2 + n - 1. Let q(t) = -29*t**3 - 68*t**2 - 41*t - 10. Suppose 0*w - w = -4. Let l(b) = w*j(b) - q(b). Factor l(f).
3*(f + 1)**2*(11*f + 2)
Find h, given that 101*h + 1610*h**3 + 778*h**4 - 609*h**3 - 1764*h**3 - 112*h**2 - 25*h + 21*h**5 = 0.
-38, -1/3, 0, 2/7, 1
Factor -z - 2*z + 98*z**2 + 3*z + 4*z + 23*z**3 - 78*z**2 + 7*z**4.
z*(z + 1)*(z + 2)*(7*z + 2)
Let s be 2*(4 + (-27)/6). Let t be s/(-3) - (-2)/(-18). Let 10/9*k + 2/3 - 2/9*k**3 + t*k**2 = 0. What is k?
-1, 3
Let b(g) be the second derivative of g**4/12 - 19*g**3/6 + 30*g**2 + 186*g. Factor b(c).
(c - 15)*(c - 4)
Solve -1/3*k**2 + 3*k - 6 = 0 for k.
3, 6
Let g(i) be the first derivative of -5*i - 9. Let u(d) = -4*d**3 - 13*d**2 - 3*d - 30. Let y(o) = 30*g(o) - 5*u(o). Find l, given that y(l) = 0.
-3, -1/4, 0
Let p be 110/(-440)*0/(-3). Factor 2/5*w**3 + 0*w**2 + p - 2/5*w.
2*w*(w - 1)*(w + 1)/5
Let d be (-118)/(-5) + (-8)/(-20). Suppose 4*l + 0*l - d = 0. Solve -6*t**4 + 3*t**5 - 9*t**3 - 14*t**2 + 6*t + l*t + 26*t**2 = 0.
-1, 0, 2
Let a be 0/(5 - (-12)/(-4)). Let t(f) be the second derivative of 0*f**3 + 0*f**4 + f + 3/20*f**5 + 0 + a*f**2. What is d in t(d) = 0?
0
Suppose 51*y - 116 = 22*y. Let u(f) be the first derivative of 5 + 1/8*f**y + 3/4*f**2 - 1/2*f**3 - 1/2*f. Let u(j) = 0. What is j?
1
Let x(q) be the first derivative of -7*q**4/30 + 284*q**3/45 - 292*q**2/15 + 48*q/5 + 448. What is z in x(z) = 0?
2/7, 2, 18
Factor -24/7*l - 12/7*l**2 - 2/7*l**3 - 16/7.
-2*(l + 2)**3/7
Let b = 7/4 - 17/20. Let a(t) be the second derivative of 1/2*t**3 + 0*t**2 + 1/14*t**7 + b*t**5 + 2/5*t**6 + 0 - 6*t + t**4. Factor a(i).
3*i*(i + 1)**4
Let h(a) be the second derivative of a**5/80 - a**3/8 - 2*a**2 + 17*a. Let f(r) be the first derivative of h(r). Find p such that f(p) = 0.
-1, 1
Suppose -3*c - i + 11 =