third derivative of 0*k + 19*k**2 - 1/120*k**5 + 0 - 1/48*k**4 + 0*k**3. Determine j so that n(j) = 0.
-1, 0
Let t be (295/354)/((-10)/(-4)). Let k(p) be the second derivative of t*p**4 + 0*p**5 - p**2 + 0*p**3 - 1/15*p**6 + 0 + 4*p. Find r, given that k(r) = 0.
-1, 1
What is n in -1/7*n**3 - 4/7 - 8/7*n - 5/7*n**2 = 0?
-2, -1
Solve 6 - 6*r - 9/2*r**2 - 3/2*r**4 + 6*r**3 = 0.
-1, 1, 2
Suppose -262 = 3*z + 2*x, -3*x = 5*z + 525 - 87. Let f be 10/6 - 5/z*-3. Factor -9/2 - f*m**2 - 6*m.
-3*(m + 1)*(m + 3)/2
Let r(l) be the second derivative of -l**5/70 - 11*l**4/42 + 25*l**3/21 - 13*l**2/7 - 17*l + 3. Solve r(a) = 0 for a.
-13, 1
Let s be -7*(-1)/2*(-3)/(-21). Suppose 2 = h + 2*q, -h - 4*q = -0*q - 2. What is a in -3/2*a + 1 + s*a**h = 0?
1, 2
Find l, given that -192/5*l - 2/5*l**4 - 10*l**3 - 332/5*l**2 + 576/5 = 0.
-12, -2, 1
Suppose -g - 4*o = 3 + 2, g - o = 0. Let d = 3 + -2. Let b(c) = 2*c**2 - 1. Let v(f) = f**2. Let u(s) = d*b(s) + g*v(s). Determine x so that u(x) = 0.
-1, 1
What is k in -4 + 1/2*k**2 - 7/2*k = 0?
-1, 8
Let c(u) = 3*u**3 - 84*u**2 + 325*u - 323. Let v(g) = -2*g**3 + 43*g**2 - 163*g + 161. Let r(t) = 6*c(t) + 10*v(t). Factor r(o).
-2*(o - 2)**2*(o + 41)
Suppose -1 = -3*a - 7. Let u(d) = 4*d**2 + 16*d + 16. Let g(p) = -p**2 - 4*p - 4. Let k(w) = a*u(w) - 9*g(w). Find x, given that k(x) = 0.
-2
Let z(d) be the first derivative of -2*d**3/27 - d**2/3 - 4*d/9 + 93. Factor z(r).
-2*(r + 1)*(r + 2)/9
Let g = -4 + 9. Let -3*q + 10 + 2*q - g*q**2 - 8*q + 4*q = 0. What is q?
-2, 1
Let p(v) = -v**2 - 18*v + 22. Let f be p(-19). Suppose 5*i**4 - 3 - 121*i**3 + 127*i**f - 6*i - 2*i**4 = 0. Calculate i.
-1, 1
Let b(f) = 3*f**3 - 93*f**2 + 259*f - 240. Let d(m) = -m**3 + 46*m**2 - 128*m + 120. Let r(z) = -4*b(z) - 7*d(z). Determine c so that r(c) = 0.
2, 6
Let v = -39 + 40. Let w = v + 1. Factor -2/3*h**2 + 2/3 - w*h**3 + 2*h.
-2*(h - 1)*(h + 1)*(3*h + 1)/3
Suppose -2/5*q**3 + 0 + 4*q**2 + 0*q = 0. Calculate q.
0, 10
Factor 4*a**3 + 8*a**2 - 11*a**2 - 13*a - 2*a**2 + 3*a + a**3.
5*a*(a - 2)*(a + 1)
Let f = -42 - -46. Let i be (3 - (-16)/f) + -4. Let -5*u**4 - 4/3 + 0*u - 5/3*u**3 + i*u**5 + 5*u**2 = 0. Calculate u.
-2/3, 1
Let t(n) = n**3 + 4*n**2 - n - 2. Let p be t(-4). Suppose 0 = 7*x - 3 - 32. Let -2*s**x + 6*s**4 + 2*s**3 - 2*s**4 + s**2 - 5*s**p = 0. Calculate s.
-1, 0, 1, 2
Let w = 1841/6 + -1837/6. Suppose -50/3 + 20/3*f - w*f**2 = 0. What is f?
5
Let j(w) be the third derivative of 49*w**6/360 - 7*w**5/60 - w**4/3 - 2*w**3/9 - 31*w**2. Factor j(y).
(y - 1)*(7*y + 2)**2/3
Let a(p) be the first derivative of p**6/8 - 3*p**5/5 - 39*p**4/16 + p**3 + 9*p**2/2 - 196. Solve a(m) = 0.
-2, -1, 0, 1, 6
Let u(v) be the first derivative of -v**5/210 + v**4/84 + 2*v**3/21 - v**2/2 + 5. Let m(a) be the second derivative of u(a). Factor m(i).
-2*(i - 2)*(i + 1)/7
Let y(d) be the third derivative of 2*d**7/105 + d**6 - 68*d**5/5 + 212*d**4/3 - 192*d**3 + 3*d**2 - 175*d. Factor y(p).
4*(p - 2)**3*(p + 36)
Factor -u**4 - 6/5*u - 22/5*u**3 + 0 - 23/5*u**2.
-u*(u + 1)*(u + 3)*(5*u + 2)/5
Let g(c) = -17*c**2 - 63*c + 238. Let f be g(-6). Solve -4/5 + 6*q - 74/5*q**2 + 66/5*q**3 - 18/5*q**f = 0.
1/3, 1, 2
Suppose 2*j - 18 = -j. Let l be (j/8)/((-21)/(-14)). What is t in 1/3 - 1/6*t**4 + 1/2*t - l*t**3 - 1/6*t**2 = 0?
-2, -1, 1
Let p be (-30)/(5 + (-146)/4) - 26/39. Determine w so that p*w + 0 - 2/7*w**2 = 0.
0, 1
Suppose 3*d = 5 + 7. Suppose -8 = -d*m, 2*m - 40 = -5*g - 3*m. Factor -2*f**2 - f + g*f + 1 - f - 3.
-2*(f - 1)**2
Let m(y) be the second derivative of y**6/72 + y**5/12 + 5*y**4/24 + y**3/6 - 10*y. Let i(t) be the second derivative of m(t). Factor i(c).
5*(c + 1)**2
Let k(z) be the second derivative of -z**5/4 + 5*z**3/2 - 5*z**2 - 72*z. Solve k(t) = 0 for t.
-2, 1
Let m = 126 - 129. Let j be m - (-2)/(-4)*(-442)/65. Factor -4/5*n**2 + 4/5 + j*n - 2/5*n**3.
-2*(n - 1)*(n + 1)*(n + 2)/5
Let t(h) be the second derivative of 0 - 1/6*h**6 - 5/4*h**4 + 0*h**2 + 17*h + 3/4*h**5 + 5/6*h**3. Find n such that t(n) = 0.
0, 1
Let o(p) be the first derivative of 7*p**5 - 25*p**4/4 - 10*p**3/3 + 295. What is i in o(i) = 0?
-2/7, 0, 1
Suppose 6 = -3*z - 5*n, 0*n - n = 5*z - 12. Suppose 2*c - 3*o - 2*o + 11 = 0, -7 = c - 3*o. Determine k, given that 1/2*k**c + k**z + 0*k + 0 + 1/2*k**4 = 0.
-1, 0
Let d(h) = h**2 + 140*h - 381. Let x(s) = 140*s - 380. Let w(i) = -5*d(i) + 6*x(i). Factor w(l).
-5*(l - 25)*(l - 3)
Factor -38/7*k - 40/7 + 2/7*k**2.
2*(k - 20)*(k + 1)/7
Let c be ((-195)/(-52))/15 + 63/132. Factor 14/11*x - c*x**2 + 4/11.
-2*(x - 2)*(4*x + 1)/11
Let o(m) = 20*m**4 - 70*m**3 - 5*m**2 + 55*m - 15. Let n(z) = z**4 - z**3 + z**2 - z + 1. Let u(h) = 15*n(h) + o(h). Suppose u(f) = 0. Calculate f.
-4/7, 0, 1, 2
Let u be 3 + (2 - -13) - -2. Suppose -3*w + 1 = 3*t - u, 0 = 5*t - 20. Solve 0 + 2/13*h**2 + 8/13*h**w + 0*h = 0.
-1/4, 0
What is m in 130*m + 5 - 25*m**3 - 30 + 145 - 5*m**4 - 5*m**3 - 15*m**2 = 0?
-4, -3, -1, 2
Let y(x) be the third derivative of -16*x**5/75 + 4*x**4/15 - 2*x**3/15 + 64*x**2 - 2. Factor y(z).
-4*(4*z - 1)**2/5
Find n, given that 92/3*n - 8 - 28/3*n**2 = 0.
2/7, 3
Let p be (60/(-63))/(1 + 812/(-792)). Factor -10*o - p*o**2 + 128/7*o**4 - 288/7*o**3 - 6/7.
2*(o - 3)*(4*o + 1)**3/7
Factor 2*s**2 + 4037 + 4799 - 376*s + 2*s**2.
4*(s - 47)**2
Let c(p) be the first derivative of -2*p**5/35 - 11*p**4/14 - 16*p**3/21 + 20*p**2/7 + 20. Suppose c(x) = 0. What is x?
-10, -2, 0, 1
Let p = -578 + 585. Let l(y) be the second derivative of -1/14*y**p - 9/10*y**5 + 0*y**2 - 2*y - 1/2*y**3 - y**4 - 2/5*y**6 + 0. Factor l(h).
-3*h*(h + 1)**4
Let m(x) be the second derivative of -x**5/190 + 2*x**4/57 + x**3/57 - 4*x**2/19 - 27*x + 1. Factor m(w).
-2*(w - 4)*(w - 1)*(w + 1)/19
Let k(v) be the first derivative of 8/21*v**3 - 1/42*v**4 - 16/7*v**2 + 16 + 128/21*v. Factor k(y).
-2*(y - 4)**3/21
Let h(z) be the second derivative of -z**7/57 + 4*z**6/19 - 67*z**5/95 + 6*z**4/19 + 15*z**3/19 + 112*z. Suppose h(i) = 0. What is i?
-3/7, 0, 1, 3, 5
Let n(q) be the second derivative of q**4/3 + 24*q**3 + 648*q**2 - 692*q. Solve n(k) = 0.
-18
Factor 25/9*c + 1/3*c**2 + 7/3 - 1/9*c**3.
-(c - 7)*(c + 1)*(c + 3)/9
Let z = 106 - 103. Solve -x**4 + 0*x**z - 40*x + 44*x - 3*x**3 = 0.
-2, 0, 1
Find o, given that -2*o**2 - 4 + 5*o + 1/4*o**3 = 0.
2, 4
Let c(m) = -3*m**3 + 48*m**2 + 213*m + 327. Let g(l) = -2*l**3 + l**2 - l + 1. Let d(v) = c(v) - 3*g(v). Factor d(w).
3*(w + 3)*(w + 6)**2
Let x(j) be the first derivative of -3*j**5/25 - 6*j**4/5 - 21*j**3/5 - 27*j**2/5 + 61. Suppose x(m) = 0. What is m?
-3, -2, 0
Let y be 26/143 + (-14)/77. Let j be (-6)/(-8) - 10/(-8). Factor -8/5*g + 4/5*g**j + y.
4*g*(g - 2)/5
Find a, given that 75/2*a + 9 + 9/2*a**3 + 33*a**2 = 0.
-6, -1, -1/3
Let x be 6/15 - (-120)/(-50). Let n be (-38)/95*1/2*x. Let n*v + 4/5 - 2/5*v**2 = 0. What is v?
-1, 2
Let l(q) = -q**3 + 11*q**2 + 11*q + 14. Let o be l(12). Suppose -12*b**2 - 5*b + 31*b**2 - 14*b**o = 0. What is b?
0, 1
Let i(m) = -m**3 - 5*m**2 - 5*m - 2. Let r be i(-4). Suppose -r*q + 8*q - 24 = 0. Factor 0 + 0*g + 3/2*g**3 - 5/8*g**q - 1/2*g**2.
-g**2*(g - 2)*(5*g - 2)/8
Suppose 128*r + 82/5*r**3 + 320 - 876/5*r**2 - 2/5*r**4 = 0. Calculate r.
-1, 2, 20
Let n be (8/600)/((-84)/(-15) - 2). Let a(l) be the third derivative of 0*l**3 + 3*l**2 + 0 + 0*l + n*l**5 + 1/54*l**4. Find v, given that a(v) = 0.
-2, 0
Let r = -537 - -537. Let x(o) be the third derivative of -1/54*o**4 - 5*o**2 + r*o**3 + 1/945*o**7 + 0*o + 1/270*o**6 + 0 - 1/270*o**5. Factor x(q).
2*q*(q - 1)*(q + 1)*(q + 2)/9
Let h(i) = 12*i - 116. Let l(g) = g**2 + 7*g - 8. Let o be l(-9). Let z be h(o). Let 7*u**2 + 1 + u**z - 9/2*u - 9/2*u**3 = 0. Calculate u.
1/2, 1, 2
Let q = -3 - -7. Solve -d**3 - 7*d**3 + 0*d**2 - q*d**4 + 10*d**2 - 2*d**2 + 4*d - 4 + 4*d**5 = 0 for d.
-1, 1
Factor 14*i**2 + 0 - 2/5*i**4 + 4/5*i**3 + 0*i.
-2*i**2*(i - 7)*(i + 5)/5
Suppose -4*f = f + 3*p + 5, 10 = -5*f - 4*p. Factor -2 + 29*d + d**f + 28*d - 58*d.
(d - 2)*(d + 1)
Factor -3/5*o**2 - 21/5*o + 18.
-3*(o - 3)*(o + 10)/5
Let m(g) = -18*g**2 - 1821*g - 300. Let s be m(-101). Factor 2/5*b**4 + 4/5 - 2/5*b**s + 2/5*b - 6/5*b**2.
2*(b - 2)*(b - 1)*(b + 1)**2/5
Let g(y) be the first derivative of 1/2*y**2 + 5/28*y**4 + 41 + 1/35*y**5 + 0*y - 13