 21*a**5/10 + 19*a**4/2 - 14*a**3/3 - 24*a**2 + 11*a - 2. What is q in b(q) = 0?
-1/2, 1, 4, 6
Let l be 0 + (29 - (4 + 1)). Suppose 14*r - 4 = l. Suppose -2/7*h**r - 2/7*h + 0 = 0. Calculate h.
-1, 0
Let m(o) = 5*o**3 + 13*o + 3. Let w be 4/3*21/(-2). Let d(a) = -a**3 - a - 1. Let b(u) = w*d(u) - 2*m(u). Factor b(j).
4*(j - 1)**2*(j + 2)
Let q(l) be the first derivative of -l**6/105 - 3*l**5/70 - l**4/14 - l**3/21 + 13*l - 3. Let p(d) be the first derivative of q(d). Factor p(f).
-2*f*(f + 1)**3/7
Let s(i) be the first derivative of 3*i**4/28 + 11*i**3/7 + 69*i**2/14 - 15*i - 890. What is j in s(j) = 0?
-7, -5, 1
Let j = -210 + 213. Let x(c) be the second derivative of -j*c + 0 + 0*c**3 + 1/48*c**4 - 1/80*c**5 + 0*c**2. What is w in x(w) = 0?
0, 1
Let u(n) be the second derivative of -4*n**2 + 0 + 2/3*n**3 + 43*n + 1/6*n**4 - 1/20*n**5. Factor u(v).
-(v - 2)**2*(v + 2)
Determine i, given that 27*i - 24*i**4 - 2*i**2 - 15*i**3 + 8*i**4 - 7*i**2 + 13*i**4 = 0.
-3, 0, 1
Let z(b) be the second derivative of b**4/4 - 31*b**3/2 - 48*b**2 + 277*b. Factor z(f).
3*(f - 32)*(f + 1)
Determine q so that -2/11*q**2 - 36/11 - 38/11*q = 0.
-18, -1
Let k(c) be the third derivative of -c**8/2016 - c**7/180 - c**6/45 - c**5/30 + 4*c**2. Factor k(l).
-l**2*(l + 2)**2*(l + 3)/6
Let f(m) = m**2 + 2874*m - 25944. Let z be f(9). Let p be (7/3 - 0) + -2. Find n such that 0 - p*n**4 + 1/3*n**2 + 0*n - 1/3*n**5 + 1/3*n**z = 0.
-1, 0, 1
Let h(w) be the first derivative of -5*w**6/2 + 14*w**5 + 25*w**4/4 + 76. Factor h(x).
-5*x**3*(x - 5)*(3*x + 1)
Let o = -83 + 38. Let m be 4 - 6 - o/20. Solve -m*x**2 + 1/4 + 0*x = 0.
-1, 1
Let b(g) be the third derivative of 1/1080*g**6 + 0*g - 1/3024*g**8 + 0*g**4 + 1/945*g**7 + 0*g**3 - 36*g**2 - 1/270*g**5 + 0. Suppose b(i) = 0. What is i?
-1, 0, 1, 2
Let r = -1 + -1. Let f be ((-14)/196)/(r/7). Factor f*y**2 + 1/4 + 1/2*y.
(y + 1)**2/4
Factor -368*c**2 - 16*c + 364*c**2 - 28*c.
-4*c*(c + 11)
Let a(f) be the third derivative of 0 + 0*f**4 - 1/120*f**5 + 0*f**3 - 4*f**2 + 0*f. Let a(q) = 0. What is q?
0
Let f(y) be the third derivative of y**6/30 - 113*y**5/60 + 203*y**4/6 - 98*y**3/3 - 4*y**2 + 4*y. Solve f(j) = 0.
1/4, 14
Let a(t) be the first derivative of t**5/5 + 5*t**4/4 + t**3 - 9*t**2/2 + 40. Factor a(m).
m*(m - 1)*(m + 3)**2
Let p(j) be the first derivative of -j**4/4 + 9*j**3 - 243*j**2/2 - 25*j + 6. Let n(y) be the first derivative of p(y). Determine t, given that n(t) = 0.
9
Suppose -14*q + 21 + 13 = -22. Determine x so that 0*x - 28/11*x**q + 6/11*x**5 + 34/11*x**3 - 12/11*x**2 + 0 = 0.
0, 2/3, 1, 3
Factor 12*k + 2*k - 2*k**3 - 30*k - 14*k**2 + 13*k + 19*k.
-2*k*(k - 1)*(k + 8)
Let s be -8 - (1/1 + 3). Let b(g) = g**2 + 12*g + 4. Let x be b(s). Determine h so that -16*h**3 - 13*h**3 + 8 - 84*h**2 - x*h + h**3 - 4*h**3 + 112*h**4 = 0.
-1/2, 2/7, 1
Find g, given that 0 + 0*g**2 - 16/9*g + 4/9*g**3 = 0.
-2, 0, 2
Find i such that -10/3 - 37/3*i - 34/3*i**3 - 52/3*i**2 - 1/3*i**5 - 10/3*i**4 = 0.
-5, -2, -1
Determine k, given that 9*k**2 + 3*k**2 + 3*k**2 + 53*k - 8*k - 10*k**2 = 0.
-9, 0
Let b(q) be the second derivative of 0 - 1/12*q**4 - q + 1/3*q**3 + 0*q**2. Factor b(k).
-k*(k - 2)
Let h(r) be the second derivative of -r**6/180 - 2*r**5/15 - 4*r**4/3 + r**3/2 + 8*r. Let x(j) be the second derivative of h(j). Find v, given that x(v) = 0.
-4
Factor -83*r - 4*r**2 + 181*r - r + 35*r + 136.
-4*(r - 34)*(r + 1)
Suppose 5*b + 11 = -p, 3*p - 3*b = 5 + 16. Let j(c) = 6*c**2 - 21*c + 11. Let n(k) = 13*k**2 - 43*k + 23. Let o(a) = p*n(a) - 7*j(a). Factor o(u).
5*(u - 1)*(2*u - 3)
Let l(z) be the second derivative of z**6/70 + 9*z**5/140 - 2*z**3/7 - 6*z - 3. Factor l(n).
3*n*(n - 1)*(n + 2)**2/7
Let g be (2 - 0)/(3/6). Let j be (-10)/3*(-6)/g. Factor -5*v + 3 + j*v + 4*v + v**2.
(v + 1)*(v + 3)
Let m(f) = -9*f**4 + 99*f**3 - 66*f**2 - 24*f - 12. Let o(n) = -n**4 + n**2 + 1. Let t(i) = m(i) + 12*o(i). Factor t(w).
-3*w*(w - 4)*(w - 1)*(7*w + 2)
Suppose 3*z + 35 = d - 5*d, 5*z - 2*d = -41. Let m be -1 + -2 + (-1 - z). Determine q so that -3*q**4 + m*q**3 - 2 - 5*q + 9*q**2 - 8*q**4 + 4*q**4 = 0.
-1, -2/7, 1
Let h(y) = 2*y**2 + 100*y - 669. Let c be h(6). Determine s, given that 2*s**2 - 3*s**c - 1/4 + 1/4*s = 0.
-1/3, 1/2
Let j = 783/1105 + -24/221. Factor -j*x**4 + 6/5*x**2 + 0*x + 0 + 3/5*x**3.
-3*x**2*(x - 2)*(x + 1)/5
Let l(i) = 5*i**5 + 7*i**4 - 8*i**3 - 2*i**2 - 2*i. Let q(t) = 10*t**5 + 15*t**4 - 15*t**3 - 5*t**2 - 5*t. Let u(a) = 5*l(a) - 2*q(a). Solve u(j) = 0 for j.
-2, 0, 1
Let z(a) be the first derivative of a**5/60 - a**4/8 + a**3/3 - 5*a**2 + 2. Let h(v) be the second derivative of z(v). Factor h(n).
(n - 2)*(n - 1)
Let a(y) = -4*y**2 - 3*y + 33. Let n(q) = -11*q**2 - 8*q + 91. Let z(u) = 8*a(u) - 3*n(u). Factor z(b).
(b - 3)*(b + 3)
Find g, given that 2/7*g**2 + 20/7*g + 50/7 = 0.
-5
Suppose -2*d - 4 = -10. Let b(g) be the second derivative of -11/24*g**d - 1/8*g**6 + 0 + 13/48*g**4 + 11/80*g**5 - 5*g + 1/4*g**2. Solve b(a) = 0 for a.
-1, 1/3, 2/5, 1
Solve -18/13*m**2 - 4/13*m + 0 - 14/13*m**3 = 0 for m.
-1, -2/7, 0
Let d(n) = 9*n - 150. Let v be d(17). Determine x, given that v - 15/4*x + 3/4*x**2 = 0.
1, 4
Factor -15*a - 10*a + 23*a + 2 + 6 - a**2.
-(a - 2)*(a + 4)
Let d(n) be the second derivative of 9*n**5/20 - 7*n**4/12 - 10*n**3/3 - 2*n**2 - n + 13. Factor d(r).
(r - 2)*(r + 1)*(9*r + 2)
Find x, given that 0 + 2*x**3 - 3*x**4 + 4/3*x**5 + 0*x - 1/3*x**2 = 0.
0, 1/4, 1
Let u(n) be the third derivative of -n**5/210 - 13*n**4/42 - 169*n**3/21 - 18*n**2 + 1. Factor u(p).
-2*(p + 13)**2/7
Let y(t) = -4*t**4 - 40*t**3 - 212*t**2 - 102*t + 1370. Let k(p) = p**4 + p**3 + p**2 + 2*p + 1. Let x(i) = 4*k(i) + 2*y(i). Find a, given that x(a) = 0.
-7, 2
Let n(w) = 3*w**2 - 3*w + 2. Let h(v) = 0 + 3 + v - 2. Suppose 2*o = -x - x - 14, -5*x = o + 27. Let i(q) = o*h(q) + 2*n(q). What is k in i(k) = 0?
1/3, 1
Let m(i) be the first derivative of -i**6/1800 + i**5/300 - 4*i**3/3 + 10. Let a(j) be the third derivative of m(j). What is w in a(w) = 0?
0, 2
Let v(c) be the third derivative of -c**8/336 - 2*c**7/63 - 13*c**6/120 - c**5/6 - c**4/9 + 75*c**2. Suppose v(y) = 0. What is y?
-4, -1, -2/3, 0
Let o(f) = -56*f**2 - 729*f - 11. Let v be o(-13). Factor 6/11*n**3 - 4/11 + 8/11*n**v - 2/11*n.
2*(n + 1)**2*(3*n - 2)/11
Let v(x) be the first derivative of 2*x**5/15 - 7*x**4/3 + 69. Suppose v(n) = 0. What is n?
0, 14
Factor 6/11 - 56/11*n + 50/11*n**2.
2*(n - 1)*(25*n - 3)/11
Let u(j) be the third derivative of -j**8/1176 - j**7/735 + j**6/210 + j**5/105 - j**4/84 - j**3/21 - 415*j**2. Factor u(m).
-2*(m - 1)**2*(m + 1)**3/7
Let -9*c + 25/3*c**2 + 17*c**3 - 10/3 + 3*c**4 = 0. What is c?
-5, -1, -1/3, 2/3
Let h be 14*(-4 - 12/(-8)). Let z = 38 + h. Factor 0*k**z + 0*k**2 + 0 + 0*k - 1/3*k**4.
-k**4/3
Let v(s) = -2*s**2 + 19*s - 31. Let m(w) = w**2 - 11*w + 16. Let x(n) = 11*m(n) + 6*v(n). Let x(f) = 0. What is f?
-5, -2
Let r(d) be the third derivative of 0 + 0*d + 0*d**4 + 21*d**2 - 1/144*d**6 + 0*d**3 + 1/36*d**5. Find z, given that r(z) = 0.
0, 2
Let p(v) = 93*v**3 + 1773*v**2 + 1369*v + 265. Let z(u) = 47*u**3 + 887*u**2 + 685*u + 133. Let l(a) = -3*p(a) + 7*z(a). Find s such that l(s) = 0.
-17, -2/5
Let q be (-5)/25 - (-382)/10 - 3. Let h be (-60)/q - 6/(-3). Solve 2/7*i**3 - 2/7*i**2 - 2/7*i + h = 0 for i.
-1, 1
Let n(l) = -l**3 - l - 1. Let d(u) = 25*u**3 + 5*u**2 + 15*u + 15. Let k be (22/(-5) - -4)*(0 + -50). Let v(i) = k*n(i) + d(i). Let v(c) = 0. Calculate c.
-1, 1
Let a be 0 + 3 - (6 + -4). Let i(m) = 3*m**2 - 2*m + 1. Let j be i(a). Suppose 35*k**3 - k**2 - 29*k**3 - 4*k**4 - k**j = 0. Calculate k.
0, 1/2, 1
Let h be 1/9*153/34. Factor 5/2 - h*f**3 + 1/2*f - 5/2*f**2.
-(f - 1)*(f + 1)*(f + 5)/2
Factor 3/2*c**2 - 42 - 9/2*c.
3*(c - 7)*(c + 4)/2
Let p(u) be the first derivative of -3*u**4/28 + 18*u**2/7 - 48*u/7 - 16. Factor p(r).
-3*(r - 2)**2*(r + 4)/7
Let r(o) be the second derivative of -o**4/12 + o**3 - 9*o**2/2 - 214*o. Factor r(l).
-(l - 3)**2
Let v(f) = 19*f**4 + 48*f**3 - 689*f**2 - 540*f + 4011. Let t(o) = 10*o**4 + 24*o**3 - 345*o**2 - 270*o + 2007. Let z(p) = 13*t(p) - 6*v(p). Factor z(b).
(b - 3)**2*(4*b + 15)**2
Factor -3034/3*y - 2/3*y**3 + 6724/3 - 160/3*y**2.
-2*(y - 2)*(y + 41)**2/3
Let v = 1/4657 - -9