What is n in j(n) = 0?
-2, 1, 13
Suppose 429*g + 37*g**3 + 119 - 3*g**5 - 463*g**3 - 303 - 179 + 69*g**4 + 294*g**2 = 0. What is g?
-1, 1, 11
Let l be (-4 + -13 - -12) + (-16)/(-3). Factor 1 - 7/3*s - l*s**3 + 5/3*s**2.
-(s - 3)*(s - 1)**2/3
Let i(o) = 65*o**3 - 214*o**2 - 223*o + 7. Let k(b) = -111*b**3 + 357*b**2 + 372*b - 12. Let s(l) = -12*i(l) - 7*k(l). Find y such that s(y) = 0.
-1, 0, 24
Let x = 29298/5 - 5859. Solve -x*w**3 - 36/5*w + 18/5*w**2 + 24/5 = 0 for w.
2
Let d(v) = 5*v + 99. Let c be d(-19). Suppose -9 = -3*h, -c*s = 3*h + h - 24. Let 1/9*z**s + 0 + 0*z + 1/9*z**2 = 0. Calculate z.
-1, 0
Suppose 0 = 5*g - 4*z + 14, 0 = -3*g + 91*z - 92*z + 12. Find h, given that 0 + 0*h**4 - 1/3*h**5 + h - 8/3*h**2 + g*h**3 = 0.
-3, 0, 1
Let k(s) be the third derivative of s**5/240 - 7*s**4/48 + s**3 + 14*s**2. Factor k(g).
(g - 12)*(g - 2)/4
Factor 4/3*l**2 + 0*l + 0 + 8/3*l**3 + 1/3*l**5 + 5/3*l**4.
l**2*(l + 1)*(l + 2)**2/3
Let w = -77 - -79. Let q(l) be the third derivative of 0*l**3 + 0*l + 1/48*l**4 + 0 - 5*l**w + 1/60*l**5 + 1/240*l**6. Let q(d) = 0. Calculate d.
-1, 0
Suppose 24*c + 17*c + 16*c = 51*c. Factor c + 0*s - 1/4*s**4 - 3/4*s**3 - 1/2*s**2.
-s**2*(s + 1)*(s + 2)/4
Let g(l) be the second derivative of l**8/3360 + l**7/630 + l**6/360 + 13*l**4/12 + 3*l. Let x(s) be the third derivative of g(s). Factor x(j).
2*j*(j + 1)**2
Factor -2/5*g**5 + 0*g + 18/5*g**4 + 0*g**2 + 4*g**3 + 0.
-2*g**3*(g - 10)*(g + 1)/5
Let v(w) be the third derivative of w**7/42 - 7*w**6/12 + w**5 + 35*w**4/12 - 65*w**3/6 - 44*w**2. Factor v(l).
5*(l - 13)*(l - 1)**2*(l + 1)
Let q(m) = -8*m**3 - 34*m**2 - 45*m + 87. Let b(l) = 15*l**3 + 70*l**2 + 90*l - 175. Let o(d) = 3*b(d) + 5*q(d). Factor o(v).
5*(v - 1)*(v + 3)*(v + 6)
Let q(r) = -r**5 + r**4 + r**2 - r. Let p(n) = -7*n**5 + n**4 + 18*n**3 - 12*n**2. Let m(d) = 3*p(d) - 24*q(d). Find f such that m(f) = 0.
0, 1, 2
Suppose -3*t - t - 12 = 0. Let r be (3/9)/(t/(-36)). Determine u so that -5 - 4*u + 5 + 14*u**5 - 10*u**3 + 18*u**r - 18*u**2 = 0.
-1, -2/7, 0, 1
Let l(h) = -48*h**3 + 49*h**3 + 2*h + 3*h + 0*h + 11 + 4*h**2. Let m be l(-3). Determine v, given that 0 - 3/4*v**m + 0*v + 0*v**4 + 0*v**2 + 3/4*v**3 = 0.
-1, 0, 1
Let i(a) = -a + 1. Let d be i(4). Let t be (-6)/(-2) + d + 4. Find m, given that -4*m**2 + 4*m**t + 3*m**3 - m**3 - 2*m**4 = 0.
-2, 0, 1
Let v(i) be the third derivative of 14*i**2 + 0*i**3 - 1/90*i**6 + 0 + 0*i - 1/315*i**7 + 0*i**4 - 1/90*i**5. Determine m so that v(m) = 0.
-1, 0
Let g = -1658 + 1671. Let k(l) be the second derivative of 0*l**2 + g*l - 1/21*l**3 + 1/70*l**5 + 0 + 1/105*l**6 - 1/42*l**4. Factor k(j).
2*j*(j - 1)*(j + 1)**2/7
Suppose 5*o = 3*h + 23, 0 = 2*o - 4*o + 2*h + 10. Suppose -4*l**o - 16*l + 16*l**3 - 2 + 0*l**4 + 19 - 1 - 12*l**2 = 0. What is l?
-1, 1, 2
Find p such that 0*p**2 + 4/5 + 2/5*p**3 - 6/5*p = 0.
-2, 1
Let m(z) = z**5 + 32*z**3 + 92*z**2 + 91*z + 32. Let r(a) = -2*a**5 - a**4 - 33*a**3 - 92*a**2 - 91*a - 33. Let l(h) = 3*m(h) + 2*r(h). Factor l(w).
-(w - 6)*(w + 1)**3*(w + 5)
Let f(b) = -40*b**3 + 95*b**2 - 105*b. Let j(g) = -5*g**3 + 12*g**2 - 13*g. Let x(o) = 3*f(o) - 25*j(o). Factor x(p).
5*p*(p - 2)*(p - 1)
Let g(w) = -2*w**3 - 7*w**2 - 5*w - 31. Let s be g(-4). Let m(c) be the first derivative of -2*c**3 + 4 - 4*c + 5*c**2 - 1/2*c**4 + 2/5*c**s. Factor m(r).
2*(r - 1)**3*(r + 2)
Determine g so that 0 - 1/2*g - 3/2*g**3 - 3/2*g**2 - 1/2*g**4 = 0.
-1, 0
Let i be 22100/19950 - (-12)/342. Let -8/7*t + i*t**3 + 2/7*t**4 + 6/7*t**2 - 8/7 = 0. Calculate t.
-2, -1, 1
Let l(i) be the third derivative of i**5/270 + i**4/12 + 8*i**3/27 + 10*i**2. Factor l(a).
2*(a + 1)*(a + 8)/9
Let x = 12901 + -64503/5. Determine j so that 0 - x*j**4 - 2/5*j**2 - 8/5*j**3 + 12/5*j = 0.
-3, -2, 0, 1
Let y be ((-420)/(-315))/((-2)/(-6)). Factor 0*p**3 + 0*p - 1/3*p**y - 1/3 + 2/3*p**2.
-(p - 1)**2*(p + 1)**2/3
Let c = -6319 + 6324. Let 8/5*t**2 - 13/5*t + 2/5 + 47/5*t**3 - 16/5*t**c + 8/5*t**4 = 0. Calculate t.
-1, 1/4, 2
Let f be (-13 + 9)*3/(-4). Suppose 2/7*i - 1/7*i**f + 1/7*i**2 + 0 = 0. What is i?
-1, 0, 2
Factor -5/4*r**3 + 25/4*r + 15/2 - 5/2*r**2.
-5*(r - 2)*(r + 1)*(r + 3)/4
Let n(r) be the first derivative of -5*r**3/3 + 15*r**2/2 - 11. What is l in n(l) = 0?
0, 3
Let c(w) = -7*w**2 - 22*w - 121. Let m(s) = -6*s**2 - 24*s - 122. Let r(b) = -4*c(b) + 5*m(b). Suppose r(u) = 0. Calculate u.
-9, -7
Suppose 4*k = -z + 24, 3 = 4*k - 4*z - 1. Suppose -150*q - k*q**3 - 6*q**2 + 3*q**3 + 146*q = 0. What is q?
-2, -1, 0
Let r be 84/130 - 704/(-4576). Factor 1/5 - k**2 + r*k.
-(k - 1)*(5*k + 1)/5
Let v(m) be the first derivative of -3/10*m**4 + 4/5*m**2 + 0*m - 8/15*m**3 + 1/15*m**6 - 7 + 4/25*m**5. Factor v(a).
2*a*(a - 1)**2*(a + 2)**2/5
Let z(b) be the first derivative of 4 - 1/3*b**3 + 3*b + b**2. Suppose z(i) = 0. What is i?
-1, 3
Let k = 1654 + -4961/3. Factor -k*a**3 + 1/3*a**2 + 0*a + 0.
-a**2*(a - 1)/3
Let z(n) = 3*n**5 + 17*n**4 - 13*n**3 - 22*n**2 + 20*n + 5. Let i(a) = -a**4 - a**3 + 2*a**2 - a - 1. Let c(q) = -5*i(q) - z(q). What is k in c(k) = 0?
-5, -1, 0, 1
Let r be -4 + ((-8)/20)/((-12)/156). Factor r + 8/5*u + 2/5*u**2.
2*(u + 1)*(u + 3)/5
Suppose 9*l = 1997 - 593. Let f = l + -154. Let 0*q + q**5 + 0 - 2/3*q**3 + 1/3*q**4 + 0*q**f = 0. What is q?
-1, 0, 2/3
Suppose -3*v + 44 = -28. Let k(r) = r**2 - 25*r + 29. Let x be k(v). Determine b, given that 0*b**2 + 2/7*b**x + 0 - 4/7*b**3 + 0*b**4 + 2/7*b = 0.
-1, 0, 1
Let g be -17*(-9)/36 - 3. Factor 0 - 5/2*c - g*c**2 + 5/4*c**3.
5*c*(c - 2)*(c + 1)/4
Let j(k) be the third derivative of k**5/12 - 25*k**4/4 - 155*k**3/6 + 172*k**2. Determine z, given that j(z) = 0.
-1, 31
Let d(w) = 8*w - 37. Let q be d(10). Let a = 43 - q. Factor a + 2/9*r - 2/9*r**2.
-2*r*(r - 1)/9
Let g = 1128/23 + -10129/207. Factor 0 + 2/9*w**3 - 2/9*w + g*w**2 - 1/9*w**4.
-w*(w - 2)*(w - 1)*(w + 1)/9
Let k(n) = 2*n - 18. Let u be k(11). Factor -4 - 160*v**2 + 156*v**2 - u*v - 4*v.
-4*(v + 1)**2
Factor -49/3*x + 2401/6 + 1/6*x**2.
(x - 49)**2/6
Let x be 51/33 + -9 + 6 + 2. Factor -x + 2/11*o**2 - 4/11*o.
2*(o - 3)*(o + 1)/11
Let z(x) be the first derivative of -x**7/1155 + x**6/60 - 4*x**5/55 - 3*x**4/11 - 25*x**2/2 - 29. Let m(w) be the second derivative of z(w). Factor m(d).
-2*d*(d - 6)**2*(d + 1)/11
Let a be (-20 + 15)/(2/(-4)). Suppose -a*s = -20*s. Factor 1/2*t**5 + 1/2*t**2 + 0 - 1/2*t**3 + s*t - 1/2*t**4.
t**2*(t - 1)**2*(t + 1)/2
Let z be -2 + (-84)/(-45) - (76/(-30) + 2). Find q, given that 0*q + 0 + 2/5*q**3 - z*q**2 = 0.
0, 1
Let r be 6 - (15/16 - -5). Let b(s) be the first derivative of 0*s**2 + 0*s - 3 - r*s**4 - 1/6*s**3 + 1/20*s**5. Factor b(u).
u**2*(u - 2)*(u + 1)/4
Let k(v) be the third derivative of v**6/60 + 13*v**5/10 + 169*v**4/4 + 2197*v**3/3 - 24*v**2 - 1. Factor k(r).
2*(r + 13)**3
Let j be 4/(-6) - (-58 - -52). Solve -2/3*k**2 + j*k - 32/3 = 0 for k.
4
Suppose 0*y - 3*y + 9 = 0. Suppose -2*q = y*q - 8090. Factor -752*r**2 - 7130*r**4 - q*r**4 + 420*r + 2738*r**3 - 2002*r**2 - 24 + 5281*r**3.
-3*(4*r - 1)*(9*r - 2)**3
Suppose 10*r = 5*r - 50. Let k(b) = 3*b**4 - 4*b**3 + b**2 + 11*b + 3. Let u(y) = y**4 - 2*y**3 + y**2 + 6*y + 2. Let q(c) = r*u(c) + 4*k(c). Factor q(x).
2*(x - 2)*(x + 1)**2*(x + 2)
Find b, given that 21/2*b**3 + 0*b - 11/2*b**2 - 1/2*b**5 - 9/2*b**4 + 0 = 0.
-11, 0, 1
Factor 2/5*d**2 + 8/5*d - 18.
2*(d - 5)*(d + 9)/5
Let z be (-186)/510 - (-6)/10. Let s = -18 - -308/17. Find i such that s + 2/17*i**2 - z*i = 0.
1
Let k = 0 + 2/25. Let g(b) be the first derivative of -2/5*b**3 - k*b**5 + 3/10*b**4 + 8 + 1/5*b**2 + 0*b. Factor g(p).
-2*p*(p - 1)**3/5
Factor -88/7*g**4 - 41/7*g**3 + 0 + 0*g - 16/7*g**5 - 5/7*g**2.
-g**2*(g + 5)*(4*g + 1)**2/7
Let u be (10192/96)/13*4. Solve -28/3*f - 2/3*f**2 - u = 0 for f.
-7
Let x = -8848 + 8851. Let 10/11*d**2 + 0*d + 2/11*d**x + 0 = 0. Calculate d.
-5, 0
Let k(q) be the first derivative of -1/15*q**3 - 1 - 1/10*q**2 + 2/5*q. Find l, given that k(l) = 0.
-2, 1
Let w = 119 + -119. Suppose w = 4*b - 3*y, 7*b - 4*y = 4*b. Factor 2/13*t**2 + 0*t - 2/13*t**4 + b + 0*t**3.
-2*t**2*(t - 1)*(t + 1)/13
Let t(s) be the second derivative of -5*s**4/12 + 4*s**3/3 - 147*s. Determine z so that t(z) = 0.
0, 8/5
Let w = -2 + 11. Let g = 14 - w. Factor t**3 + 13*t**2 - 4*t**3 - 