e -6*l + 0*l**4 - 3*l**u + 6*l**3 - 3*l**4 + 6*l**4 = 0. What is l?
-2, -1, 0, 1
Suppose 6*s = 86 + 22. Let r = s - 71/4. Factor 0 - r*m**5 + 0*m**2 + 0*m + 0*m**4 + 1/4*m**3.
-m**3*(m - 1)*(m + 1)/4
Let h(v) be the first derivative of v**8/10080 + v**7/2520 - v**6/2160 - v**5/360 + v**3/3 + 3. Let b(r) be the third derivative of h(r). What is f in b(f) = 0?
-2, -1, 0, 1
Suppose 0 = -t - 38*f + 42*f - 14, -2 = -3*t + f. Factor 108/7 + 36/7*k + 3/7*k**t.
3*(k + 6)**2/7
Let w(b) = 8*b**2 + 44*b + 32. Let s(j) = 1. Let p = 51 + -50. Let m(o) = p*w(o) - 12*s(o). Factor m(z).
4*(z + 5)*(2*z + 1)
Let a(j) = 7*j**3 - 9. Let z be 35/4 - 1/(-4). Let x(q) = 3*q**3 - 4. Suppose 0 = 2*r - 138 + 146. Let l(n) = r*a(n) + z*x(n). Factor l(t).
-t**3
Let a = 70/153 + -4/17. Factor 0 + a*b**4 + 0*b + 8/9*b**2 + 8/9*b**3.
2*b**2*(b + 2)**2/9
Suppose -j + 130 + 1165 = 4*t, 4*t = 5*j + 1325. What is a in -325*a**2 + t*a**2 + 3*a**4 = 0?
0
Let x be (-2)/(-26) - 57407/(-5421). Determine m, given that 10*m**2 - x - 16/3*m + 16/3*m**3 + 2/3*m**4 = 0.
-4, -1, 1
Let k(z) be the first derivative of -3*z**7/280 + 7*z**6/120 - z**5/8 + z**4/8 + 14*z**3/3 + 5. Let u(y) be the third derivative of k(y). Factor u(s).
-3*(s - 1)**2*(3*s - 1)
Let v be (-4248)/20 - (-1)/(5/(-3)). Let c = v - -215. Determine m so that 0*m + 8/7 - 2/7*m**c = 0.
-2, 2
Let c(u) be the first derivative of 2*u**3/39 - 24*u**2/13 + 46*u/13 - 159. Factor c(w).
2*(w - 23)*(w - 1)/13
Let t(a) be the third derivative of -2*a**7/21 - 221*a**6/24 - 989*a**5/4 + 1505*a**4/3 + 1960*a**3/3 - 58*a**2. Solve t(n) = 0.
-28, -1/4, 1
Let n = -5069/4 + 1269. Determine f, given that 2*f - n*f**3 - 5/4*f**4 - 1/4*f**5 + 1/4*f**2 + 1 = 0.
-2, -1, 1
Suppose 155*z - 109*z = 0. Let 0*j**4 + z*j**2 - 1/3*j**5 + 0*j**3 + 0 + 0*j = 0. Calculate j.
0
Let a(y) be the third derivative of -y**6/420 + y**5/35 - 3*y**4/28 + 4*y**3/21 - 68*y**2. Factor a(t).
-2*(t - 4)*(t - 1)**2/7
Suppose -5*b + 20 = -5*l, -3*b + 15 = -4*l + 2. Factor 10 + 12*d + 16*d**b - 48*d**2 - 10 + 5*d**3.
3*d*(d - 2)*(7*d - 2)
Suppose 0 = m - 3*w - 2, 0 = -8*m + 5*m - 2*w + 17. Factor -146*h**3 + 333*h**4 - 399*h**4 + 69*h**3 - 3*h**m - 286*h**3.
-3*h**3*(h + 11)**2
Let j be 261/(-5220) + 123/60. Factor 3*y + 3 + 3/4*y**j.
3*(y + 2)**2/4
Suppose 43 = -5*i - 17. Let d = -9 - i. Suppose l**3 - l**d + l**3 + 2*l**3 - 3*l**2 = 0. What is l?
0, 1
Factor 540*w**4 - 542*w**4 - 8*w**3 - 60*w**2 - 18*w**3.
-2*w**2*(w + 3)*(w + 10)
Let d(o) = 2*o**2 - 88*o + 964. Let p(u) = -2*u**2 + 88*u - 965. Let m(s) = 3*d(s) + 4*p(s). Find w, given that m(w) = 0.
22
Let t(c) = -29*c - 27. Let w be t(-1). Suppose -4/13 - 64/13*a**w + 76/13*a**3 + 10/13*a**5 - 44/13*a**4 + 2*a = 0. What is a?
2/5, 1
Let r(h) be the second derivative of 1/168*h**7 - 5/48*h**4 + 15*h + 3/80*h**5 - 1/6*h**3 + 1/24*h**6 + 0 + 0*h**2. Factor r(m).
m*(m - 1)*(m + 1)**2*(m + 4)/4
Let o(r) be the second derivative of 1/6*r**4 + 1/4*r**2 - 12*r + 0 - 1/3*r**3. Factor o(z).
(2*z - 1)**2/2
Suppose -102 = -10*x - 82. Let a = -5 + 8. Let -3/5*z**a - 6/5*z - 9/5*z**x + 0 = 0. What is z?
-2, -1, 0
Let z(r) = r**2 - 2. Let h be z(4). Factor h*k**3 + 11 + 0*k**4 + 30*k**2 - 3*k**4 - 3 + 26*k + 5*k**4.
2*(k + 1)**3*(k + 4)
Suppose 0 = 2*t + 11 - 15. Suppose -5*k**5 + 3*k**5 + 2*k**3 + 18*k**4 - 16*k**4 - 2*k**t = 0. Calculate k.
-1, 0, 1
Suppose 0 = 2*r + 213 - 73. Let p be (-3)/(-2)*r/(-21). Find h, given that -3*h**p - 3*h**4 - 6*h**4 - 9*h**3 - 4*h**2 + 2*h**2 - h**2 = 0.
-1, 0
Let f(m) be the second derivative of m**6/540 - m**5/144 + m**4/144 - 7*m**3/2 - 9*m. Let d(q) be the second derivative of f(q). Factor d(r).
(r - 1)*(4*r - 1)/6
Let c be ((-3)/72*2)/((-28)/24). Let g(f) be the second derivative of 11/21*f**3 - 8*f - c*f**4 - 6/7*f**2 + 0. Factor g(u).
-2*(u - 3)*(3*u - 2)/7
Suppose 3*v - 2*n = 5*v + 48, -5*v - 124 = 4*n. Let l be (2/(-7))/((36/v)/3). Factor -l*j**4 + 0 + 0*j + 4/3*j**3 + 2*j**2.
-2*j**2*(j - 3)*(j + 1)/3
Let s be 7/(-4) + 252/112. Factor s + l + 1/2*l**2.
(l + 1)**2/2
Let d = 46092/62293 - -3/8899. Let r = d + -5/11. Factor 0*n + 0 - 4/7*n**4 + 2/7*n**3 + r*n**2.
-2*n**2*(n - 1)*(2*n + 1)/7
Suppose 2*d - 2*p = 4 + 2, 0 = -5*d - 2*p + 29. Let 6*j - d*j + 8 - 10*j + 4*j**2 - 3*j = 0. Calculate j.
1, 2
Let p(m) be the second derivative of m**8/5880 + m**7/735 + m**6/420 + 7*m**3/6 + 24*m. Let s(z) be the second derivative of p(z). Factor s(a).
2*a**2*(a + 1)*(a + 3)/7
Suppose -34/5*k**3 - 16/5 + 22/5*k**4 + 8*k - 4/5*k**2 - 4/5*k**5 = 0. Calculate k.
-1, 1/2, 2
Let x(p) = -24*p**3 + 91*p**2 - 13*p. Let g(z) = 12*z**3 - 45*z**2 + 6*z. Let j be (-1)/(1/(-21))*6/21. Let a(l) = j*x(l) + 11*g(l). Let a(v) = 0. What is v?
0, 1/4, 4
Let u(p) = 2*p**2 + 54*p + 100. Let x be u(-2). Let n(d) be the second derivative of -1/6*d**2 + x*d**3 + 0 - 7*d + 1/36*d**4. Factor n(q).
(q - 1)*(q + 1)/3
Let q(u) = u - 3. Let t be q(3). Suppose t = -3*c + 2*w - 7*w + 80, 68 = 4*c - 3*w. What is f in 32 + c*f**3 + 0*f - 4*f**4 + 0*f**4 - 24*f**2 - 16*f = 0?
-1, 2
Suppose -b = -5*m - 22, -22 = 4*m - 2. Let s be b/(-6)*(-24)/(-18). Factor -2*t + 4/3 + s*t**2.
2*(t - 2)*(t - 1)/3
Factor 6*p**3 - 8*p**2 - 83*p - 5*p**4 - 2*p**5 + 9*p**4 + 75*p.
-2*p*(p - 2)**2*(p + 1)**2
Let q(g) be the second derivative of -g**7/56 - 27*g**6/40 - 117*g**5/16 - 169*g**4/16 - 29*g. Factor q(z).
-3*z**2*(z + 1)*(z + 13)**2/4
Let d(a) = -a**2 - 2*a - 11. Let j(l) = 4*l**2 + 14*l + 45. Let u(o) = 9*d(o) + 2*j(o). Factor u(m).
-(m - 9)*(m - 1)
Factor 15*y + 24 - 52 - 20 - 4*y**2 + 17*y.
-4*(y - 6)*(y - 2)
Factor 232*u**3 - 4*u - 12 + 3*u**2 + 3*u**2 - 236*u**3 + 26*u.
-2*(u - 3)*(u + 2)*(2*u - 1)
Let u(a) = -1. Let r(k) = -k**2 + 2*k + 3. Let v(j) = j**3 + 9*j**2 - 3*j - 7. Let h be v(-9). Let q(y) = h*u(y) - 4*r(y). Determine x so that q(x) = 0.
-2, 4
Let x(n) be the second derivative of n**7/126 - 2*n**6/45 - 47*n**5/60 - 59*n**4/18 - 58*n**3/9 - 20*n**2/3 - 410*n. Suppose x(s) = 0. Calculate s.
-2, -1, 10
Let l(q) = -8*q**3 - 5*q**2 + 2*q + 2. Let f(d) = 3 - 3*d + 31*d**3 - 30*d**3 + 4*d - 2. Let o(s) = 3*f(s) + l(s). Find y such that o(y) = 0.
-1, 1
Let q(l) be the first derivative of -l**5/20 - 5*l**4/16 - 3*l**3/4 - 7*l**2/8 - l/2 - 158. Determine t so that q(t) = 0.
-2, -1
Let p = -90 + 93. Let b be p*(-6 + 0)*9/(-81). Find z, given that -2/3*z**3 - 2/3*z**4 + 2/3*z**b + 2/3*z + 0 = 0.
-1, 0, 1
Determine q, given that -32/5 + 14/5*q**2 + 2/5*q**3 + 16/5*q = 0.
-4, 1
Suppose 24 = g + 6. Suppose -2*d + 3*j = -11 - 4, 2*j = 2*d - g. Factor 7 + n**3 - d*n**2 + 9*n**4 - 7*n**3 + 6*n - 4.
3*(n - 1)**2*(n + 1)*(3*n + 1)
Let k(r) be the second derivative of r**6/60 - 3*r**5/10 + 37*r**4/24 - 7*r**3/2 + 4*r**2 + 118*r. Factor k(v).
(v - 8)*(v - 2)*(v - 1)**2/2
Suppose -190 - 1970 = -16*c. Find g, given that -4*g**3 + 7*g - c + 4*g + g + 127 = 0.
-2, 1
Let d = -128 + 130. What is n in -37*n + 24*n - 27*n + 12 + 28*n**d = 0?
3/7, 1
Factor 1/2*l**3 + 4 + 7/2*l**2 + 7*l.
(l + 1)*(l + 2)*(l + 4)/2
Let k(j) be the first derivative of -2*j**3/15 + 2*j**2/5 + 250. Factor k(t).
-2*t*(t - 2)/5
Factor x**2 - x**4 + 3*x**3 - 4*x + 40*x**5 - 41*x**5 + 4*x - 2*x.
-x*(x - 1)**2*(x + 1)*(x + 2)
Let l be (7/(14/(-24)))/(7 - 8). Suppose i + 5*v = 12 + 10, -2*i - 2*v = -l. Find x such that 0*x + 2/5 - 2/5*x**i = 0.
-1, 1
Suppose 0 = 4*j - 3*n - 7, 2*n + 3 + 7 = 4*j. Suppose -14 = -j*r + 6. Find t such that 20*t**3 - 4*t**r - 8*t - 8*t + 28*t**4 - 28*t**4 = 0.
-2, -1, 0, 1, 2
Let h(g) be the third derivative of -g**10/6048 - g**9/1728 - g**8/2016 + 3*g**5/10 - 17*g**2. Let v(s) be the third derivative of h(s). Factor v(m).
-5*m**2*(m + 1)*(5*m + 2)
Let w = -2397/2 + 575281/480. Let i(n) be the third derivative of -w*n**6 - 1/120*n**5 - 1/96*n**4 + 0*n + 0 + 6*n**2 + 0*n**3. Suppose i(x) = 0. What is x?
-1, 0
Let y = -8771873/39 - -224905. Let z = -106/13 - y. Suppose -5*q**2 - 65/3*q - z = 0. Calculate q.
-4, -1/3
Let -16*f**3 - 1172*f - 194*f**2 - 11*f**3 + 49*f**3 - 23*f**3 - 8237*f = 0. Calculate f.
-97, 0
Factor -61*o**4 - 4 + 81*o**4 + 3*o + 10 - 45*o**2 + 57*o**3 - 41*o**4.
-3*(o - 1)**3*(7*o + 2)
Let v be 2*1 - (10 + 27/(-3)). Let a be ((-2)/v - -6) + (-3)/3. What is i in 7/3*i + 3*i**2 + 5/3*i**a + 2/3 + 1/3*i**4 = 0?
-2, -1
Let l be (27/24)/(-3)*12/(