 derivative of -i**7/21 + i**6/3 - 3*i**5/5 - 6*i + 1. Find n such that u(n) = 0.
0, 2, 3
Let o = 17 + -4. Let l = 17 - o. Factor 5*v**2 - l*v**2 - 4*v**2 - 6*v**3 + 9*v**3.
3*v**2*(v - 1)
Let l(h) be the first derivative of -5*h**2 + 2/5*h**5 - 8 - 2*h**3 - 4*h + 1/2*h**4. Suppose l(k) = 0. Calculate k.
-1, 2
Let j(o) be the third derivative of 2/3*o**4 + 8/3*o**3 - 1/15*o**5 + 0 - 1/30*o**6 - 3*o**2 + 0*o. Solve j(x) = 0.
-2, -1, 2
Let b = 24 + -22. Find u such that -6*u - u + 0*u - 5*u**b + 2*u = 0.
-1, 0
Suppose -2*a + b - 7 = 2*b, -10 = -2*b. Let q be ((-3)/2)/(-3) - 9/a. Factor 8/13*w**4 + 0 + 8/13*w**q - 2/13*w - 12/13*w**3 - 2/13*w**5.
-2*w*(w - 1)**4/13
Find z such that -2/3*z + 2/9*z**3 + 4/9*z**2 + 0 = 0.
-3, 0, 1
Let n = 2627119/17128 - 14/2141. Let l = n + -153. Solve -3/4*c**3 + 0*c - 3/8*c**4 + 0 - l*c**2 = 0 for c.
-1, 0
Let z(p) be the third derivative of p**7/315 + p**6/180 - p**5/45 - 43*p**2 - 2*p. Factor z(y).
2*y**2*(y - 1)*(y + 2)/3
Let h(u) be the first derivative of -9 - 12/5*u**5 - 21/8*u**4 - 1/4*u**6 + 0*u**2 + 0*u**3 + 0*u. Factor h(b).
-3*b**3*(b + 1)*(b + 7)/2
Suppose 0 = 7*o - 20*o + 273. Suppose 45*f**3 + 11*f + f + 8*f - 39*f**2 - o*f**2 = 0. What is f?
0, 2/3
Suppose 24 = 2*y + 2*y. Suppose -2*a - t = -6, 5*t + 0 - y = 2*a. Find m, given that 0 + 3*m**a + 3*m - 4 - m**4 - 3*m**3 + m**3 + m = 0.
-2, 1
Let g be (1 - 12/2)/((-1435)/574). Factor 1/2*o + 5/6*o**g - 11/6*o**3 + 1/2*o**4 + 0.
o*(o - 3)*(o - 1)*(3*o + 1)/6
Suppose -5*q - m = -10, 119*m - 116*m = -q + 2. Determine x, given that 0 + 0*x + 2/13*x**3 + 0*x**q = 0.
0
Let w(m) = -3*m**3 - m**2 + m + 1. Let f(d) = 25*d**3 + 17*d**2 - 2*d - 24. Let b(q) = -3*f(q) - 24*w(q). Suppose b(s) = 0. What is s?
-8, -2, 1
Suppose 3*g - 12*g + 45 = 0. Suppose -5*p - 2*p = -g*p. Find o such that -4/3*o**3 + p*o**2 + 4/3*o - 2/3 + 2/3*o**4 = 0.
-1, 1
Let b be 5 + -1 + -1 + 1. Let r be 2/8 + 13*(-9)/(-12). Suppose r*p + 4 - 25*p**2 + 5*p**b - 5*p**5 - 4 + 15*p**3 = 0. Calculate p.
-2, 0, 1
Let c(g) be the third derivative of g**7/140 - g**6/45 + 4*g**5/135 + g**4/4 - 8*g**2. Let v(l) be the second derivative of c(l). Find y, given that v(y) = 0.
4/9
Suppose 3*k = -52 - 206. Let q be 1/(-3) + k/(-6). Factor 8 + g**3 - g**3 + 10*g**2 - q*g - 2 - 2*g**3.
-2*(g - 3)*(g - 1)**2
Let v(t) = -t + 1. Let u(z) = 2*z**3 - 5*z**2 + 5. Let n be u(2). Let f be v(n). Suppose 4/7*c**2 + f*c**3 - 2/7*c**5 - 4/7*c**4 + 0 + 2/7*c = 0. What is c?
-1, 0, 1
Let z(g) be the third derivative of g**7/525 + 2*g**6/75 - 26*g**5/75 - 16*g**4/3 + 256*g**3/5 - 161*g**2 + g. Let z(i) = 0. Calculate i.
-8, 2, 6
Let x = -15754/15 - -3158/3. Determine s so that -x - 2/5*s + 2/5*s**2 = 0.
-2, 3
Let z(b) = 10*b**2 - 69*b + 6. Let d(s) = -32*s**2 + 206*s - 20. Let t(g) = -3*d(g) - 10*z(g). Factor t(w).
-4*w*(w - 18)
Let j(o) = 4*o**3 + 6*o**2 - 3*o - 7. Let f(n) = -3*n**3 - 5*n**2 + 2*n + 6. Let p(c) = 3*f(c) + 2*j(c). Find d such that p(d) = 0.
-2, 1
Let t(b) = -14*b**3 - 22*b**2 + 16*b + 48. Let l(x) = -8*x**3 - 12*x**2 + 8*x + 24. Let h(i) = 5*l(i) - 3*t(i). Factor h(c).
2*(c - 2)*(c + 2)*(c + 3)
Let x(o) be the second derivative of 1/120*o**5 - 1/16*o**4 + 0 - o**2 + 6*o + 1/6*o**3. Let g(u) be the first derivative of x(u). Factor g(i).
(i - 2)*(i - 1)/2
Suppose 4*j = -2*n + n + 13, 0 = -3*n + 15. Suppose -22 = -3*m - j*r + 13, 2*r = 4*m - 28. Factor -m*h**3 - 2*h + h**3 - 6*h**2 - 6*h**2 + 2*h**2.
-2*h*(h + 1)*(4*h + 1)
Let j(n) be the third derivative of -9*n**2 + 0 + 0*n - 1/72*n**4 + 0*n**3 - 1/180*n**5. Find s such that j(s) = 0.
-1, 0
Let g be (-2 + -1654)*(-4)/6. Let p = 1333 - 229. Factor -p*s**2 - 4*s + g*s**2 - 2 + 2*s**4 + 4*s**3.
2*(s - 1)*(s + 1)**3
Let f(o) = 8*o**2 + 138*o + 84. Let w(k) = -17*k**2 - 277*k - 166. Let a(t) = 5*f(t) + 2*w(t). Suppose a(z) = 0. What is z?
-22, -2/3
Let g(t) be the first derivative of -2*t**5/35 + 4*t**3/7 + 8*t**2/7 + 6*t/7 - 449. Factor g(k).
-2*(k - 3)*(k + 1)**3/7
Let l(z) be the third derivative of z**7/70 - 11*z**6/20 + 2*z**5 - 2*z**2. Suppose l(i) = 0. Calculate i.
0, 2, 20
Suppose -102*z = 119*z - 442. Factor -1/3*l**4 - 1/3*l**3 + 1/3*l**z + 0 + 1/3*l**5 + 0*l.
l**2*(l - 1)**2*(l + 1)/3
Let r(y) = 22*y**3 + 369*y**2 - 101*y. Let t(m) = 45*m**3 + 735*m**2 - 205*m. Let o(u) = -5*r(u) + 2*t(u). Determine h, given that o(h) = 0.
-19, 0, 1/4
Let 9/2*m + 1/2*m**3 + 0 + 3*m**2 = 0. Calculate m.
-3, 0
Let m = 291 + -3455/12. Let a = -113/60 + m. Factor -3/5*y - 9/5*y**2 + 3/5 - a*y**4 + 3*y**3.
-3*(y - 1)**3*(2*y + 1)/5
Suppose -1/9*c**2 + 5/3 + 14/9*c = 0. What is c?
-1, 15
Let a be ((-4)/(-7))/(3 + (-6 - 234/(-42))). Factor -2/9 + 2/9*l**2 + a*l**3 - 2/9*l.
2*(l - 1)*(l + 1)**2/9
Let c(v) = v**3 + 9*v**2 + 9*v + 20. Let b be c(-8). Suppose 0*j - 4*j = -b. Suppose -1 - 3/2*r + 7/2*r**2 - 5/2*r**4 + 3/2*r**j = 0. Calculate r.
-1, -2/5, 1
Let d(c) = 4*c**3 - 11*c**2 - 8*c + 13. Let l be d(9). Suppose 0 = 4*v + 30 - l. What is n in -5 + 21 + 14*n + 162*n + v*n**2 = 0?
-2/11
Let b(a) be the third derivative of a**8/2352 - a**7/490 + a**5/105 - 196*a**2. Factor b(w).
w**2*(w - 2)**2*(w + 1)/7
Suppose -2*m + 1536 - 1520 = 0. Solve 10/3*x**2 + 3 + m*x**3 + 5/3*x**4 - 16*x = 0.
-3, 1/5, 1
Let b(m) = -7*m**2 + 11*m + 25. Let y(x) = -10*x**2 + 16*x + 37. Let z(d) = 7*b(d) - 5*y(d). Find v, given that z(v) = 0.
-2, 5
Let c(q) be the second derivative of -q**6/15 - 3*q**5/10 - q**4/6 + q**3 + 2*q**2 + q + 1. Factor c(d).
-2*(d - 1)*(d + 1)**2*(d + 2)
Let f be (5/(-7) - (-2)/6)*15/(-5). Solve 1/7*s**5 - 1/7*s**2 - 4/7 + f*s - 5/7*s**3 + 1/7*s**4 = 0.
-2, 1
Let t(f) = 6*f**3 - 15*f**2 + 15*f - 3. Let q(c) = -7*c**3 + 16*c**2 - 15*c + 2. Suppose -4*n + 3 = -5*n. Let p(m) = n*q(m) - 4*t(m). Factor p(y).
-3*(y - 2)*(y - 1)**2
Let j = 8/267 + 478/1869. Find f such that 4/21*f - 2/21*f**2 + j = 0.
-1, 3
Let l(v) be the second derivative of v**6/6 + v**5/2 - 10*v**4/3 - 298*v. Let l(t) = 0. What is t?
-4, 0, 2
Let o(f) = f**4 + f**3 - 21*f**2 - 87*f - 42. Let t(w) = 3*w**4 + 3*w**3 - 64*w**2 - 260*w - 128. Let u(r) = -17*o(r) + 6*t(r). Factor u(l).
(l - 6)*(l + 1)*(l + 3)**2
Factor -22*h - 9*h - 45 - 17*h + 10*h - 7*h - 10*h**2.
-5*(h + 3)*(2*h + 3)
Let a(f) = f**3 + 5*f**2 - 83*f + 12. Let o be a(-12). Factor -1/9*m + 0 + 1/9*m**3 + o*m**2.
m*(m - 1)*(m + 1)/9
Solve 5*u**3 + 156*u - 959*u**2 + u**3 - 3*u**4 + 1040*u**2 + 84 = 0.
-2, -1, 7
Factor 104/9*b**3 + 0*b + 2/9*b**4 + 0 + 1352/9*b**2.
2*b**2*(b + 26)**2/9
Let d(g) be the third derivative of -g**6/900 - g**5/300 + g**4/30 - g**3/3 - 6*g**2. Let a(x) be the first derivative of d(x). Let a(v) = 0. Calculate v.
-2, 1
Solve 2*s**3 + 17 - 17 + 2*s**4 + 4*s**3 = 0.
-3, 0
Suppose 3*h - 4*a = 47, -4*a + 19 - 12 = 3*h. Let k be (5 - h - -2) + (-17)/(-7). Factor -9/7*o**3 + 0 - 9/7*o**2 - 3/7*o**4 - k*o.
-3*o*(o + 1)**3/7
Let w(k) be the second derivative of -k**4/16 + 11*k**3/8 - 27*k**2/4 + 10*k - 6. Solve w(p) = 0.
2, 9
Factor -14/23*k - 16/23 + 2/23*k**2.
2*(k - 8)*(k + 1)/23
Factor -z**2 + 0*z**2 - 8*z - 6*z - 6*z + 25*z.
-z*(z - 5)
Let x(w) = -w**5 - 6*w**4 + 14*w**2 + 7*w. Let n(p) = p**5 + p**4 - p**3 - p**2 + p. Let z(u) = -2*n(u) - x(u). Factor z(q).
-q*(q - 3)**2*(q + 1)**2
Let s(v) be the first derivative of -v**4/14 + 2*v**3/3 + v**2/7 - 2*v + 708. Suppose s(z) = 0. What is z?
-1, 1, 7
Let 32/9*l + 1/9*l**4 + 8/3*l**2 + 8/9*l**3 + 16/9 = 0. What is l?
-2
Suppose 11 = -k + 3*i - 3, 5*i + 90 = -5*k. Let z = k - -14. Let p(t) = -2*t**2 + 2. Let y(s) = 5*s**2 - 5. Let b(q) = z*y(q) - 7*p(q). Factor b(n).
-(n - 1)*(n + 1)
Suppose -8/3 - 25/3*w**3 - 28/3*w - 8/3*w**4 - 1/3*w**5 - 38/3*w**2 = 0. Calculate w.
-2, -1
Let j be 0/(4*(-1)/(-4)). Suppose t - 2*t = j. Factor 0 + f**3 + 0*f**4 + 2/3*f**2 + t*f - 1/3*f**5.
-f**2*(f - 2)*(f + 1)**2/3
Let i(v) be the first derivative of -v**6/36 - v**5/30 + v**4/4 - v**3/9 - 5*v**2/12 + v/2 - 158. Let i(w) = 0. Calculate w.
-3, -1, 1
Let t(x) be the first derivative of x**6/20 - x**5/30 - x**4/6 - 3*x**2/2 - 9. Let q(g) be the second derivative of t(g). Factor q(c).
2*c*(c - 1)*(3*c + 2)
Let u be (-6 + 10)/4*(4 + -1). Let t(r) be the second derivative of 10*r + 0*r**2 + 0 + 1/170*r**5 + 1/51*r**u - 1/51*r**4. Let t(i) = 0. Calculate i.
0, 1
Let q(k) be the second derivative of -k