What is j?
-1/2, 1
Let m(b) = -22*b**2 + 38*b + 60. Let a(h) = -4*h**2 + 6*h + 10. Let s(i) = -34*a(i) + 6*m(i). Factor s(q).
4*(q + 1)*(q + 5)
Let h(u) be the second derivative of u**10/10080 + u**9/2520 + u**8/2240 - 5*u**4/6 + 6*u. Let x(s) be the third derivative of h(s). Factor x(n).
3*n**3*(n + 1)**2
Let s(b) be the second derivative of 8*b**6/15 + 8*b**5 + 31*b**4 + 130*b**3/3 + 28*b**2 + 305*b. Factor s(p).
4*(p + 2)*(p + 7)*(2*p + 1)**2
Suppose 3*a - v = 53, 5*a = 3*a + 5*v + 18. Suppose 0 = a*x - 26*x. Solve x*r**2 + 3/5*r**3 - 3/5*r + 0 = 0 for r.
-1, 0, 1
Suppose -6*h - 3*a = -h + 10, 0 = 3*h + 3*a. Let t(c) = -c - 5. Let f be t(h). Find k, given that f + 3/2*k - 1/2*k**3 + k**2 = 0.
-1, 0, 3
Let 0 + 1/4*a**4 + 8427/4*a**2 - 159/4*a**3 - 148877/4*a = 0. What is a?
0, 53
Let l = -2880 - -2882. Find g such that 1/2*g**l + 25/2 + 5*g = 0.
-5
Suppose -3*w + 123 = c + 117, 5*c + 4*w - 19 = 0. Let p = 5/4 - -71/20. Factor -2/5*r**c + 12/5*r**2 + 16/5 - p*r.
-2*(r - 2)**3/5
Let l(u) = -u**2 - 2*u. Let m(r) = 23*r**3 - 4*r**2 - 29*r + 1. Let s(b) = -3*l(b) + m(b). Factor s(y).
(y - 1)*(y + 1)*(23*y - 1)
What is r in 16*r**2 + 6*r - 29*r**5 + 78*r**5 - 23*r**5 + 4*r**3 - 28*r**5 + 8*r**3 = 0?
-1, 0, 3
Let x(k) be the second derivative of 3/20*k**5 + 0 - 7*k - 1/2*k**4 + 0*k**2 + 1/2*k**3. Factor x(q).
3*q*(q - 1)**2
Suppose 15*h - 19*h + 8 = 0. Let b be (h + 0)*7/63. Find w such that -2/9*w**5 + b*w**3 + 0 + 0*w + 0*w**2 + 0*w**4 = 0.
-1, 0, 1
Factor 3*m**4 + m**3 + m**3 + 4 - 2*m - 2*m**4 - 5.
(m - 1)*(m + 1)**3
Let k be ((-27)/21)/((-303)/21 + 14). Suppose 7/3*d**k + 5/3*d**4 + 0 + 0*d + 2/3*d**2 = 0. Calculate d.
-1, -2/5, 0
What is y in 180*y**3 - 3 - 16*y - 182*y**3 + 12*y**2 + 3 = 0?
0, 2, 4
Let g(r) = 20*r**2 + 39*r - 4. Let w(f) = -2. Let z(t) = 2*g(t) - 2*w(t). Factor z(a).
2*(a + 2)*(20*a - 1)
Let w(u) = -104*u**2 + 8*u - 7. Let q be w(1). Let x = q + 105. Let -2/9*b + 0 + 2/9*b**3 + 0*b**x = 0. What is b?
-1, 0, 1
Suppose 4*m + 1 = 3*r + 7, 0 = 4*r + 4*m - 20. Let l(d) be the second derivative of d - d**r + 2/9*d**3 + 0 - 1/54*d**4. Let l(b) = 0. What is b?
3
Let j be (-153)/135 + (-54)/(-45). Let m(v) be the second derivative of 0*v**3 + 2*v + 0*v**4 + 1/42*v**7 + 0 + j*v**6 - 3/20*v**5 + 0*v**2. Factor m(i).
i**3*(i - 1)*(i + 3)
Let p = 121279/5 + -24255. Let r = -962 - -4842/5. Factor 9*j**2 + 81/5*j**3 + p - r*j.
(j + 1)*(9*j - 2)**2/5
Let r be -1 + 8 - (616/33 + -12). Suppose 0 - 2*p**3 - 4/3*p**2 - 1/3*p**5 - 4/3*p**4 - r*p = 0. What is p?
-1, 0
Determine c so that -722/13 - 2/13*c**2 - 76/13*c = 0.
-19
Suppose 0 = l + 5*s - 20, s = l + 26 - 22. Factor l - 1/6*v**2 + 2/3*v.
-v*(v - 4)/6
Let i(v) = 5*v + 7. Let o be i(-3). Let g = 10 + o. Determine n so that -3*n - 2 + 4*n**2 + g*n**2 + 6*n + n = 0.
-1, 1/3
Let c(j) be the third derivative of -j**6/180 + j**4/3 + 37*j**3/6 + 21*j**2. Let f(s) be the first derivative of c(s). Factor f(h).
-2*(h - 2)*(h + 2)
Let d(l) be the first derivative of -l**8/10080 - l**7/840 - l**6/432 + 14*l**3/3 + 6. Let x(a) be the third derivative of d(a). Factor x(i).
-i**2*(i + 1)*(i + 5)/6
Suppose 5*i = -11*i + 32. What is t in 0 + 3/2*t**i + 1/2*t**4 + 1/3*t + 5/3*t**3 = 0?
-2, -1, -1/3, 0
Let l = -3594 + 3597. Factor 80/7*z - 8/7 - 710/7*z**l - 130*z**4 - 338/7*z**5 - 50/7*z**2.
-2*(z + 1)**3*(13*z - 2)**2/7
Let x(z) be the second derivative of z**4/6 + 73*z**3/9 + 8*z**2 + 4*z + 7. Factor x(d).
2*(d + 24)*(3*d + 1)/3
Let z(k) be the first derivative of k**6/90 - 4*k - 2. Let i(c) be the first derivative of z(c). What is m in i(m) = 0?
0
Let g be -296 + 3/(-4) + (-13)/52. Let x be ((-9)/g)/((-1)/(-6)). Factor 2/11*z**5 - x*z**3 + 0 - 2/11*z**2 + 0*z + 2/11*z**4.
2*z**2*(z - 1)*(z + 1)**2/11
Factor -4*d**3 + d**4 - 56*d**3 - 100*d**2 - 5*d**4 - 4*d**2.
-4*d**2*(d + 2)*(d + 13)
Let a(m) = 13*m**2 - 94. Let s(o) = -9*o**2 + 96. Let l(y) = 2*a(y) + 3*s(y). What is x in l(x) = 0?
-10, 10
Let s(w) be the second derivative of 1/6*w**4 + 10/3*w**3 + 9*w + 0 + 25*w**2. Factor s(j).
2*(j + 5)**2
Let l(k) = -10*k**3 - 23*k**2 + 9*k - 3. Let v(r) = -110*r**3 - 252*r**2 + 98*r - 34. Let f(x) = -68*l(x) + 6*v(x). Factor f(q).
4*q*(q + 3)*(5*q - 2)
Let f(m) = -m**3 + m**2 - m + 1. Let j = -9 + 14. Let s(t) = 1 - 12*t - 8*t**3 + 0 + 12 - j + 12*t**2. Let p(r) = -20*f(r) + 2*s(r). Solve p(n) = 0.
-1, 1
Factor 56/15*j**2 + 106/15*j + 52/15 + 2/15*j**3.
2*(j + 1)**2*(j + 26)/15
Determine c, given that -1/3*c**3 + 7/3*c - 2*c**2 + 0 = 0.
-7, 0, 1
Let k = -1602 - -1605. Let m(r) be the second derivative of -605/48*r**4 - 7*r - 5/2*r**2 + 0 + 55/6*r**k. Suppose m(i) = 0. What is i?
2/11
Let r(a) = a**2 - 3*a - 2*a + 5 - 4 + 0*a**2. Let k(t) = 2*t**2 + 4*t + 20 - 21 - 3*t**2. Let g(z) = -7*k(z) - 6*r(z). Factor g(p).
(p + 1)**2
Let k(z) be the second derivative of z**4/3 - 3*z**3/4 + z**2/4 + 2*z - 126. What is b in k(b) = 0?
1/8, 1
Let r(d) = 33 - d**3 + 3*d - d**4 - 2*d - 28 + 11*d**2. Let f(m) = 6*m**2 + 3. Let i(z) = -5*f(z) + 3*r(z). Factor i(s).
-3*s*(s - 1)*(s + 1)**2
Let n(o) = -4*o**3 - 3*o**2. Suppose -11 = -4*c + 85. Let q(y) = -y**2 + 21*y**3 + 16*y**2 + c*y - 23*y. Let v(b) = -11*n(b) - 2*q(b). What is j in v(j) = 0?
-2, 0, 1/2
Solve 226/7 + 2/7*b**2 - 228/7*b = 0 for b.
1, 113
Let p(b) be the first derivative of 2/15*b**3 + 6/5*b**2 - 16 + 2*b. Let p(n) = 0. What is n?
-5, -1
Let s be (4 - 2) + 2 + 1. Factor -6 - 3*y**2 - 3*y - s*y - y.
-3*(y + 1)*(y + 2)
Let z(x) be the first derivative of 0*x - 5/2*x**2 - 5/3*x**3 + 47. Find a, given that z(a) = 0.
-1, 0
Suppose 3*u = -5*l + 6, -2*l + 3*l = -2*u + 4. Suppose -3*m = y - 10, 2*y + 0*y - u = 0. Let -15*q**4 - 2*q**3 - q**3 + 3*q - m*q**2 + 18*q**4 = 0. What is q?
-1, 0, 1
Let b be 1413/(-3297) - (-67)/91. Let -b*m**2 - 10/13*m**3 - 2/13*m**4 + 0*m + 0 + 4/13*m**5 = 0. What is m?
-1, -1/2, 0, 2
Factor 3*p**2 - 3*p**4 - 185*p**3 - 182*p**3 + 3*p + 364*p**3.
-3*p*(p - 1)*(p + 1)**2
Factor 54/11*r + 2/11*r**2 + 0.
2*r*(r + 27)/11
Let p(j) be the second derivative of 45*j + 0 - 1/12*j**4 + 0*j**2 + 2/3*j**3. Determine q, given that p(q) = 0.
0, 4
Let y(q) = q**3 + 40*q**2 - 95*q - 459. Let a be y(-42). Let -1/2*n**5 + 5/2*n**4 - 1/2*n**2 + 4*n - 7/2*n**a - 2 = 0. Calculate n.
-1, 1, 2
Let g = 132 + -205. Let f = g + 76. Factor 0*y**2 - 2/13*y + 2/13*y**f + 0.
2*y*(y - 1)*(y + 1)/13
What is y in -7*y**2 - 10*y**2 - 20*y**3 - 9*y**2 + 8*y**4 + 2*y**2 + 4*y**5 = 0?
-3, -1, 0, 2
Let g(y) be the second derivative of 0*y**2 - 5/24*y**4 + 0 + 14*y + 1/2*y**3 - 1/40*y**5. Find a such that g(a) = 0.
-6, 0, 1
Let c be -1*11 + (-80)/20. Let q be (-1)/((c/(-10))/(-3)). Factor -2*j**3 + 4*j**3 - j**q - j**2.
2*j**2*(j - 1)
Let q(d) = -5*d**2 + 15*d - 34. Let j(z) = -14*z**2 + 47*z - 104. Let s(w) = -4*j(w) + 11*q(w). Factor s(v).
(v - 21)*(v - 2)
Let h be 1 + (-21)/12 - 57/(-12). Suppose 4 = h*v - 8. Suppose 6/7*w + 4/7 + 0*w**2 - 2/7*w**v = 0. Calculate w.
-1, 2
Find l, given that 34/11 + 2/11*l**2 - 36/11*l = 0.
1, 17
What is j in -5/2*j**2 - 135/2*j - 230 = 0?
-23, -4
Let h = -2 - -3. Suppose h = 4*r - 11. Determine x so that -3*x**r + x + 6*x**2 - 7*x + 0*x**2 + 3*x**2 = 0.
0, 1, 2
Suppose -c = -3 + 8, 3*k + 3*c = -3. Factor -40*w + k*w**2 - 22*w + 676 - 42*w.
4*(w - 13)**2
Let j(v) be the second derivative of 1/8*v**3 - 1/4*v**2 + 0 + 5*v + 0*v**4 - 1/80*v**5. Determine f, given that j(f) = 0.
-2, 1
Let r(o) be the first derivative of o**3 - 381*o**2 + 48387*o + 959. Solve r(g) = 0 for g.
127
Let c be (4 + -3)/((-4)/(-12)). Let n(q) be the second derivative of -5*q - 1/16*q**4 - 1/4*q**c - 3/8*q**2 + 0. Factor n(a).
-3*(a + 1)**2/4
Let v = 69 - 62. Let g(n) be the second derivative of 3/4*n**3 + 3/2*n**2 - v*n + 0 - 5/8*n**4. Suppose g(p) = 0. What is p?
-2/5, 1
Suppose -58 - 47 - 31*m + 75*m + 2*m**2 + 1 + 2*m**2 = 0. Calculate m.
-13, 2
Let i(f) = f**3 - 32*f**2 + 59*f + 33. Let g be i(30). Find l such that -1/5*l**g - 12/5*l - 6/5*l**2 - 8/5 = 0.
-2
Let j(q) be the third derivative of -3*q**8/7840 + q**7/5880 + q**6/280 - q**5/280 - q**4/2 + 12*q**2. Let f(k) be the second derivative of j(k). Factor f(g).
-3*(g - 1)*(g + 1)*(6*g - 1)/7
Let q be (16 + (-280)/16)*2/(-6). Let s(h) be the first derivative of 0*h - 7/6*h**3 - 9/8*h**4 - 1 + q*h**2. Suppose s(x) =