Let n(j) = -21*j**2 - 63*j - 39. Let t be n(-2). What is a in 1/2*a**2 + 1/4*a - 1/4*a**5 - 1/2*a**h + 0 + 0*a**t = 0?
-1, 0, 1
Suppose -v = -2*v + 39. Let k = -174/5 + v. What is y in 0 + 0*y + 3*y**3 + k*y**4 - 6/5*y**2 = 0?
-1, 0, 2/7
Let p be ((-3)/10)/(324/912). Let n = -8/45 - p. Factor 2 + n*m**2 + 8/3*m.
2*(m + 1)*(m + 3)/3
Let k(s) be the first derivative of -16*s**5/35 + 11*s**4/14 - 2*s**3/7 + 93. Factor k(h).
-2*h**2*(h - 1)*(8*h - 3)/7
Let o be (4 + (-3 - -1))*(-3)/(-2). Suppose 10*v - 8*v**2 - 4 + 2*v**2 + o*v**3 - v**3 - 2*v**2 = 0. Calculate v.
1, 2
Factor 24/11 - 16/11*c + 2/11*c**2.
2*(c - 6)*(c - 2)/11
Let g(l) be the first derivative of l**6/24 + l**5/20 - 3*l**4/8 - 7*l**3/6 - 11*l**2/8 - 3*l/4 - 699. Find n, given that g(n) = 0.
-1, 3
Let m = 1/7063 + 7061/14126. Factor -3/4*p - 1/4*p**2 - m.
-(p + 1)*(p + 2)/4
Let g be (-1240)/(-25) + (-8)/(-20). Determine q so that 204*q + g + 36 - 50 + 196*q**3 + 364*q**2 = 0.
-1, -3/7
Find z, given that 3/4*z**2 + 15/2*z + 75/4 = 0.
-5
Let q(b) = b**2 + b - 1. Let u(r) = -2*r**2 + 18*r - 18. Let t = 8 + -10. Let s(m) = t*q(m) + u(m). Factor s(j).
-4*(j - 2)**2
Let n(c) be the third derivative of -c**7/420 + c**6/20 - 3*c**5/10 + 2*c**4/3 - 194*c**2. Find i such that n(i) = 0.
0, 2, 8
Suppose -6 = -2*h - 2. Let t be (0/h - 0)/(3 + -5). Factor 2/3*u**3 - 2/3*u + 0 + t*u**2.
2*u*(u - 1)*(u + 1)/3
Factor -77*v + 37*v - 108 - 64*v + 4*v**2.
4*(v - 27)*(v + 1)
Suppose 4/3*x + 1/9*x**2 + 4/9 - 4/3*x**3 - 5/9*x**4 = 0. Calculate x.
-2, -1, -2/5, 1
Let o(u) be the third derivative of u**9/3024 + u**8/840 + u**7/840 - 4*u**3/3 + 6*u**2. Let r(b) be the first derivative of o(b). Solve r(k) = 0 for k.
-1, 0
Let v(d) = 2*d**2 - d + 1. Suppose -4*s - 8 = -0*s - 3*w, -3*s + 3*w - 9 = 0. Let n be v(s). Factor 2*r**4 + r**4 - 9*r**3 - 3*r + 0*r**4 + 9*r**n.
3*r*(r - 1)**3
Factor 5*m**3 + 74*m**2 + 31*m**2 + 34*m - 2*m**3 + 161*m + 2*m**3 + 95.
5*(m + 1)**2*(m + 19)
Suppose -11*a = -23*a. Let i(p) be the third derivative of 1/945*p**7 - 1/135*p**5 - 1/540*p**6 + 0 - 3*p**2 + 0*p**4 + 0*p**3 + a*p. Factor i(j).
2*j**2*(j - 2)*(j + 1)/9
Let n(u) be the second derivative of 1/8*u**4 + 0*u**2 - 20*u - 3/40*u**5 + 0*u**3 + 0. Solve n(q) = 0 for q.
0, 1
Factor 0 + 8/3*c**3 - 58/9*c**2 + 4*c - 2/9*c**4.
-2*c*(c - 9)*(c - 2)*(c - 1)/9
Let q = -2278 + 34174/15. Let f(y) be the first derivative of 4/5*y**2 + 4/5*y - 5 + q*y**3. Factor f(v).
4*(v + 1)**2/5
Suppose -w - 3*w = -8. Let d be (-2 + 6)/((-4)/(-2)). What is l in -3*l - 4*l**d + w + 2*l + 3*l**2 = 0?
-2, 1
Let y(m) be the third derivative of -m**7/70 + m**6/5 - 4*m**5/5 + 162*m**2. What is a in y(a) = 0?
0, 4
Let z(n) be the first derivative of 0*n**2 - 8/7*n + 25 + 2/21*n**3. Find r such that z(r) = 0.
-2, 2
Let v(o) be the first derivative of -o**5/45 + 2*o**3/27 + 3*o + 10. Let m(q) be the first derivative of v(q). Determine g, given that m(g) = 0.
-1, 0, 1
Let c be ((-2)/(-5))/(4/60). Let a be (c + -10)/(3/(-1)). Suppose a + 2/3*t**2 + 2*t = 0. What is t?
-2, -1
Let l = 1933/2 - 966. Factor -1/4 + 1/2*j + 1/4*j**4 + 0*j**2 - l*j**3.
(j - 1)**3*(j + 1)/4
Let l = -335461/9 + 37277. Factor l - 32/9*d + 8/9*d**3 + 0*d**2 - 2/9*d**4.
-2*(d - 2)**3*(d + 2)/9
Suppose -9 = -4*s + s. Let d = 320 + -959/3. Factor d + b + 1/3*b**s + b**2.
(b + 1)**3/3
Let d(o) = 6243*o**2 + 317*o + 5. Let y(f) = 2*f**2 + f + 1. Let k(p) = -2*d(p) + 2*y(p). Let k(w) = 0. Calculate w.
-2/79
Let y(h) = -26*h**4 + 46*h**3 - 162*h**2 + 180*h - 89. Let t(x) = -9*x**4 + 15*x**3 - 54*x**2 + 60*x - 30. Let v(l) = -17*t(l) + 6*y(l). Factor v(d).
-3*(d - 2)**3*(d - 1)
Let n = 9894 - 29680/3. Let 0 + 0*l**2 - n*l**5 - 8/3*l**3 - 8/3*l**4 + 0*l = 0. What is l?
-2, 0
Let v(b) = -15*b**2 - 1 + b**3 + 10*b**2 + 4*b**2 + b**5 - b**4. Let y(l) = -10*l**5 + 10*l**2 + 5. Let z(i) = 5*v(i) + y(i). What is f in z(f) = 0?
-1, 0, 1
Let z(q) be the third derivative of -q**8/1848 + 4*q**7/385 - 13*q**6/220 + 14*q**5/165 + q**2 + 8. Suppose z(y) = 0. Calculate y.
0, 1, 4, 7
Let k = -324 + 326. Let x(c) be the second derivative of -3*c + 3/40*c**5 + 0*c**k + 1/60*c**6 + 0 + 1/12*c**3 + 1/8*c**4. Find r such that x(r) = 0.
-1, 0
Let m(r) be the third derivative of -r**7/945 - r**6/270 + 2*r**5/27 + 11*r**4/18 + 5*r**3/3 - 6*r**2 - 10. Let m(j) = 0. What is j?
-3, -1, 5
Let z be 9 + (-957)/55 - 18/(-2). Suppose -z*i**3 + 6/5 - 6/5*i**2 + 3/5*i = 0. What is i?
-2, -1, 1
Factor -1/10*h**2 + 27/10*h - 5.
-(h - 25)*(h - 2)/10
Let i(c) be the third derivative of 2/33*c**3 + 0*c**5 - 1/44*c**4 + 0*c + 1/660*c**6 - 16*c**2 + 0. Factor i(q).
2*(q - 1)**2*(q + 2)/11
Let x(n) = n**3 + n**2. Let k(f) = -6*f**2 + 8*f - 4. Let l be 16 - 8 - (4 + 1). Let d(b) = l*x(b) + 3*k(b). Let d(r) = 0. What is r?
1, 2
Let i(m) be the third derivative of 3*m**6/140 + 3*m**5/35 + 2*m**4/21 - 12*m**2 - m. Determine s so that i(s) = 0.
-4/3, -2/3, 0
Find n, given that -6*n**3 - 2*n**2 + 2*n**5 + 10*n**3 - 105*n + 8*n**4 - 6*n**2 + 99*n = 0.
-3, -1, 0, 1
Let b(n) be the third derivative of 7*n**6/30 + 103*n**5/15 - 71*n**4/3 + 64*n**3/3 - 35*n**2. Factor b(r).
4*(r - 1)*(r + 16)*(7*r - 2)
Let q(v) be the third derivative of v**6/840 - 2*v**5/105 + v**4/8 - 3*v**3/7 + 205*v**2. Let q(r) = 0. What is r?
2, 3
Let m(u) be the third derivative of -2*u**7/105 + 17*u**6/10 - 49*u**5/15 - 17*u**4/2 + 100*u**3/3 + 8*u**2 - 52. Factor m(q).
-4*(q - 50)*(q - 1)**2*(q + 1)
Let n(h) = 10092*h**2 + 348*h + 3. Let b(k) = 10092*k**2 + 348*k + 3. Let v(a) = 5*b(a) - 6*n(a). Let v(t) = 0. Calculate t.
-1/58
Suppose -542 = -173*y - 140 + 290. Factor 8/3*d - 8/3*d**3 + 4/3*d**2 - 2 + 2/3*d**y.
2*(d - 3)*(d - 1)**2*(d + 1)/3
Let r be ((-134)/134)/(2/(-23)). Find o, given that 3 - 5/2*o**3 + 11*o**2 - r*o = 0.
2/5, 1, 3
Let -2/5*v**5 + 0 + 26/5*v**4 + 72/5*v - 14*v**3 - 26/5*v**2 = 0. Calculate v.
-1, 0, 1, 4, 9
Factor -2/7*b**2 + 274/7*b + 0.
-2*b*(b - 137)/7
Let g(a) be the first derivative of a**6/8 + 39*a**5/20 + 6*a**4 + 5*a**3 - 179. Find j such that g(j) = 0.
-10, -2, -1, 0
Let z(i) be the second derivative of 28*i - 1/6*i**3 + 0*i**2 + 1/36*i**4 - 1/90*i**6 + 1/20*i**5 + 0. Determine v, given that z(v) = 0.
-1, 0, 1, 3
Let g(n) be the third derivative of n**8/2184 - n**7/455 + n**6/390 + n**5/195 - n**4/52 + n**3/39 - 8*n**2 - 4. Determine o so that g(o) = 0.
-1, 1
Let c(f) = f - 1. Let p be -4*(-1 + 3)/2. Let x(n) be the first derivative of -n**4/2 - 4*n**3/3 + n**2 - 4*n - 136. Let u(a) = p*c(a) + x(a). Factor u(v).
-2*v*(v + 1)**2
Let k(p) be the first derivative of 3*p**4/4 + 65*p**3/2 + 141*p**2/2 + 93*p/2 + 560. Factor k(i).
3*(i + 1)*(i + 31)*(2*i + 1)/2
Factor 0 - 4/7*q**2 + 2/7*q**3 + 0*q + 2/7*q**4.
2*q**2*(q - 1)*(q + 2)/7
Let u be (-3 - (-16)/3)*(-126)/(-147). Factor -5/2*p**u - 90 + 30*p.
-5*(p - 6)**2/2
Let u = -512 - -518. Let y(l) be the first derivative of -4/3*l**3 + 5/2*l**2 + u - l. Let y(i) = 0. What is i?
1/4, 1
Let i be 3/((-24)/10) - (206 - 208). Let c(n) be the first derivative of -1/12*n**3 - 9 + 1/4*n**2 + i*n. Factor c(m).
-(m - 3)*(m + 1)/4
Let n(r) be the first derivative of 1/10*r**6 + 0*r + 0*r**3 - 3/20*r**4 - 6 + 0*r**5 + 0*r**2. Factor n(l).
3*l**3*(l - 1)*(l + 1)/5
Let z(f) = f - 5. Let g be z(7). Let s(v) = 20 + v**g + 2*v - 7 - 7. Let q(a) = -1. Let i(w) = -5*q(w) - s(w). Factor i(x).
-(x + 1)**2
Let b = -3/4315 + -1160702/47465. Let k = b + 25. Solve 2/11*w**2 + 16/11*w**3 - 8/11 - 16/11*w + k*w**4 = 0 for w.
-2, -1, -2/3, 1
Let x = -40 + 49. Let m(f) = f**3 - 11*f**2 + 19*f - 9. Let j be m(x). Factor 0 + 1/2*k**5 - 1/2*k**3 + 0*k + j*k**2 + 0*k**4.
k**3*(k - 1)*(k + 1)/2
Let h = 21 - 20. Let f be (0 + -3 - -6)*h. Suppose -5*g**2 + 1 - g**2 - 9*g**4 + 8*g**f + 6*g**4 = 0. What is g?
-1/3, 1
Let u(h) be the first derivative of -2*h**3/15 - 6*h**2/5 - 2*h - 68. Determine n so that u(n) = 0.
-5, -1
Let l(x) be the first derivative of x**3/18 + 32*x**2/3 + 2048*x/3 - 59. Factor l(v).
(v + 64)**2/6
Factor 4/3*i + 10/3*i**4 + 6*i**3 + 2/3*i**5 + 14/3*i**2 + 0.
2*i*(i + 1)**3*(i + 2)/3
Let g(z) be the first derivative of 3*z**5/70 - z**4/21 - 19*z**3/21 - 6*z**2/7 + 3*z + 12. Let u(x) be the first derivative of g(x). Factor u(q).
2*(q - 3)*(q + 2)*(3*q + 1)/7
Suppose -5*y**2 - 7*y - 16*y + 35 - y - 6*y = 0. What i