0 + w**5/220 + w**3/6 + 19*w. Let n(v) be the second derivative of y(v). Factor n(t).
-2*t*(t - 3)/11
Solve 2/15*x**4 - 28/15 + 82/15*x - 26/5*x**2 + 22/15*x**3 = 0 for x.
-14, 1
Solve 44*k**3 + 71*k + 46*k**2 + 126*k**2 + 227 - 83 + 205*k + 4*k**4 = 0.
-4, -3, -1
Let w = -108 + 128. Suppose 10*j + 0 - w = 0. Suppose 2/5*r**3 - 6/5*r**j + 0 + 4/5*r = 0. Calculate r.
0, 1, 2
Suppose 0 = 5*c - 3*j - 15, 0 = -222*c + 219*c - 4*j + 9. Factor 2*g**2 - 3/2*g**4 - 1/2*g**5 + 0 + 0*g**c + 0*g.
-g**2*(g - 1)*(g + 2)**2/2
Determine m so that 2/9*m**2 - 278/9*m - 280/9 = 0.
-1, 140
Let k(j) be the second derivative of 5*j + 0*j**2 - 3*j**4 + 0 + 9/2*j**3 + 3/5*j**5. Determine i so that k(i) = 0.
0, 3/2
Suppose 41 = -5*x - 14. Let t(u) = -2*u**2 + 5*u - 3. Let d(s) = -5*s**2 + 14*s - 9. Let m(k) = x*t(k) + 4*d(k). Factor m(q).
(q - 1)*(2*q + 3)
Suppose -3*p - 197 = -4*s, 4*s - p - 195 = 4*p. Let l be 554/10 - 20/s. Factor 59*i - l*i + 4*i**2 + i**2 - 1.
(i + 1)*(5*i - 1)
Let a(u) be the first derivative of 2*u**3/3 - 14*u**2 + 48*u + 111. Determine z, given that a(z) = 0.
2, 12
Let k be (-3)/3*(2 - 2). Let l = -10 - k. Let j(y) = -7*y**2 + 9*y - 5. Let a(m) = m**2 - m + 1. Let n(q) = l*a(q) - 2*j(q). What is w in n(w) = 0?
0, 2
Let l = 1 + 2. Factor 15*j + 9*j**2 - 21*j - 3*j**4 + 2*j**l - 2*j**3.
-3*j*(j - 1)**2*(j + 2)
Let b(i) = 18*i**2 - 5*i + 3. Let l(m) = -37*m**2 + 12*m - 7. Let v(n) = 14*b(n) + 6*l(n). Factor v(x).
2*x*(15*x + 1)
Let p(m) be the third derivative of -m**8/336 - 4*m**7/21 + 17*m**6/12 - 13*m**5/3 + 175*m**4/24 - 22*m**3/3 + 10*m**2 - 13*m. Factor p(d).
-(d - 1)**4*(d + 44)
Solve 0 + 1/8*i**2 + 3/4*i = 0.
-6, 0
Factor -2/3*k**3 + 1/6*k**4 + 0*k + 0 + 1/2*k**2.
k**2*(k - 3)*(k - 1)/6
Let m(p) = p - 6. Let y be m(7). Let n(s) = s**4 - s + 1. Let i(u) = -2*u**4 + 4*u**3 + 24*u**2 - 2*u + 2. Let z(x) = y*i(x) - 2*n(x). Factor z(b).
-4*b**2*(b - 3)*(b + 2)
Let g = -90 + 454/5. Suppose -3*s - 12 = -18. Suppose 6/5*j + 2/5*j**s + g = 0. Calculate j.
-2, -1
Let c(a) = a**5 + a**4 + a**3 - a**2 - 1. Let x(k) = -5*k**5 - 5*k**4 + 7*k**3 + 13*k**2 - 8*k - 5. Let p(i) = -3*c(i) - x(i). Solve p(o) = 0 for o.
-2, -1, 1, 2
Suppose -4*u - 7 = -2*q + 1, 0 = -3*u - 3. Suppose 4*w + q*g = 6, -4*w + 3*g + 2 = -9. Factor -6 + 5*c**2 - 2*c**w - 193*c + 196*c.
3*(c - 1)*(c + 2)
Let q(m) be the second derivative of 5/6*m**4 + 0*m**3 + 0 + 25/42*m**7 + 0*m**2 + 1/4*m**5 + 15*m - 4/3*m**6. Determine y, given that q(y) = 0.
-2/5, 0, 1
Suppose -25004*g**2 + 366*g**3 - 3*g**4 + 2382032*g - 31561924 - g**4 - 39485*g**2 - 2927*g**2 + 482*g**3 = 0. Calculate g.
53
Factor -5/2*x**2 + 5*x + 0.
-5*x*(x - 2)/2
Let t(p) be the second derivative of -p**5/90 - 157*p**4/54 - 2080*p**3/9 - 676*p**2 + 33*p - 2. Factor t(u).
-2*(u + 1)*(u + 78)**2/9
Let i(f) be the second derivative of f**5/130 - f**4/78 - 2*f**3/13 - 7*f - 25. Determine w so that i(w) = 0.
-2, 0, 3
Let u = 39 - 33. Let 15*c**2 - 152*c + 6 + 188*c + u = 0. Calculate c.
-2, -2/5
Suppose -2*x + 3*w = 0, -4*x + 4*w + 4 = -w. Let n be (x - 3) + -1 - (1 - 2). What is v in 2/3*v**n + 0*v + 2/3*v**2 + 0 = 0?
-1, 0
Let b(p) be the first derivative of p**5/12 - 5*p**4/3 + 40*p**3/3 - 15*p**2 - p + 3. Let n(g) be the second derivative of b(g). Suppose n(q) = 0. What is q?
4
Let l be (384/5)/((-240)/125 - -2). Determine k so that -l + 967 + k**2 + 6*k - 2*k**2 = 0.
-1, 7
Suppose -114*k**3 + 61*k - 58*k**4 - 69*k**2 + 49*k**4 - 25*k = 0. Calculate k.
-12, -1, 0, 1/3
Factor -14/5*b**4 + 2/5*b**5 - 26/5*b**2 + 8/5*b + 0 + 6*b**3.
2*b*(b - 4)*(b - 1)**3/5
Let w(p) = -p + 5. Let f be w(3). Suppose s**2 + 2*s**2 + 2*s - 4*s**f = 0. What is s?
0, 2
Let a = -424 + 426. Let x(w) be the third derivative of 0*w**3 + 0*w + 0 + 1/24*w**4 + 0*w**5 - 1/120*w**6 - 2*w**a. Solve x(g) = 0.
-1, 0, 1
Let k(m) be the third derivative of m**7/105 + m**6/180 - 3*m**3/2 + 13*m**2. Let l(o) be the first derivative of k(o). Factor l(g).
2*g**2*(4*g + 1)
Let y(o) be the third derivative of -o**8/1680 + o**7/3360 + o**6/90 - o**5/120 - 5*o**3/2 + 28*o**2. Let z(h) be the first derivative of y(h). Factor z(v).
-v*(v - 2)*(v + 2)*(4*v - 1)/4
Let l(g) = 2*g**3 + 19*g**2 - 49*g + 43. Let k(p) = 6*p**3 + 56*p**2 - 146*p + 132. Let x(o) = 5*k(o) - 16*l(o). Factor x(w).
-2*(w - 1)**2*(w + 14)
Factor -8/7*m**2 + 0 - 12/7*m + 4/7*m**3.
4*m*(m - 3)*(m + 1)/7
Let g(f) be the third derivative of f**7/210 - 13*f**6/120 + 13*f**5/30 + 5*f**4/3 - 266*f**2. Suppose g(t) = 0. Calculate t.
-1, 0, 4, 10
Let f(u) be the first derivative of -1/5*u**4 + 0*u + 1/15*u**6 + 0*u**5 + 0*u**3 + 26 + 1/5*u**2. Solve f(n) = 0 for n.
-1, 0, 1
Let -28/3*z - 2/3*z**3 + 0 + 10*z**2 = 0. Calculate z.
0, 1, 14
Suppose -45 + 25 = -5*g. Let y(z) be the third derivative of 5/108*z**g - z**2 - 2/135*z**5 + 0*z - 2/27*z**3 + 0 + 1/540*z**6. Factor y(u).
2*(u - 2)*(u - 1)**2/9
Let i(d) = -3*d**3 + d**2 - d + 1. Let z(v) = -9*v**3 - 157*v**2 + v + 161. Let m(l) = -2*i(l) + z(l). Factor m(k).
-3*(k - 1)*(k + 1)*(k + 53)
Let l(x) be the second derivative of x**5/80 + 5*x**4/16 + 133*x + 2. Determine c, given that l(c) = 0.
-15, 0
Let d(h) be the third derivative of h**9/60480 - h**8/2520 + h**7/720 + h**5/10 + 9*h**2. Let z(t) be the third derivative of d(t). Solve z(p) = 0.
0, 1, 7
Solve 3/8*g + 3/8*g**2 - 15/2 = 0 for g.
-5, 4
Let j(w) be the third derivative of w**6/600 - w**5/100 - w**4/12 + 556*w**2 + w. Factor j(k).
k*(k - 5)*(k + 2)/5
Let u(i) be the second derivative of i**7/56 + i**6/20 - 9*i**5/80 - i**4/4 + i**3/2 - 4*i + 5. Determine w so that u(w) = 0.
-2, 0, 1
Suppose 2/5*c**4 + 18/5 + 1/5*c**5 - 2*c**3 + 9/5*c - 4*c**2 = 0. Calculate c.
-3, -2, -1, 1, 3
Let j(u) be the second derivative of -u**7/84 + u**6/30 + 3*u**5/20 - u**4/6 - 13*u**3/12 - 3*u**2/2 - 17*u + 2. What is r in j(r) = 0?
-1, 2, 3
Let o(z) be the first derivative of 7*z**4/2 + 40*z**3/3 + 11*z**2 - 4*z - 37. Solve o(d) = 0 for d.
-2, -1, 1/7
Let r(k) be the first derivative of k**4/14 + 10*k**3/21 + k**2 + 6*k/7 + 329. Factor r(n).
2*(n + 1)**2*(n + 3)/7
Let k = -8 + 16. Let x = k + 0. Suppose -3*g**2 + 2*g + x*g**2 - 11*g**2 + 4 = 0. Calculate g.
-2/3, 1
Let q(m) = -m**2 + 12*m - 16. Let b be q(10). What is t in -4*t - 4*t - 7*t + 11*t + b*t**3 = 0?
-1, 0, 1
Let q be 48/40*(-3 - -143). Let h = q - 669/4. Factor -15/4*d - 9/4 + h*d**3 - 3/4*d**2.
3*(d - 3)*(d + 1)**2/4
Let d(j) be the second derivative of -j**7/105 - 7*j**6/75 - 9*j**5/25 - 2*j**4/3 - 8*j**3/15 + 2*j + 23. What is s in d(s) = 0?
-2, -1, 0
Let k(s) be the second derivative of s**6/2 + 5*s**5/4 - 35*s**4/6 - 50*s**3/3 + 20*s**2 - 5*s - 8. Factor k(x).
5*(x - 2)*(x + 2)**2*(3*x - 1)
Factor -4*p**3 + 68*p + 2464055 + 44*p - 28*p**2 - 2464135.
-4*(p - 2)*(p - 1)*(p + 10)
Let t(j) = -50*j**2 + 649*j + 15. Let n be t(13). Find b such that -5/3 - 1/3*b**2 + n*b = 0.
1, 5
Let x be (-5)/(-4) + 0/((-225)/9). Factor -1/4*f**5 + 0 - 2*f**3 + x*f**4 + f**2 + 0*f.
-f**2*(f - 2)**2*(f - 1)/4
Let a be 0 + ((-15)/75)/((-1)/35). Let n(o) be the third derivative of -1/60*o**4 + a*o**2 + 0 + 0*o + 2/15*o**3 - 1/150*o**5. Solve n(x) = 0 for x.
-2, 1
Factor -13*g**2 - g**3 + 5*g**4 + 62*g**2 + g**5 - 35*g**2 - 19*g**2.
g**2*(g - 1)*(g + 1)*(g + 5)
Solve -9*b**2 + 15*b**2 - 60*b - 4 - 3*b**2 + 4 = 0 for b.
0, 20
Let v(c) = 112 - 18*c + 70*c - 4 + 6*c + 12*c**2. Let w(l) = 4*l**2 + 19*l + 36. Let q(m) = -5*v(m) + 14*w(m). Factor q(t).
-4*(t + 3)**2
Let r be -46 + 34 - (1 + -16). Let -10/3*l**2 + 25/6*l**3 - 17/2*l - r = 0. What is l?
-3/5, 2
Suppose -412*j + 406*j = -30. Let o(r) be the second derivative of -1/42*r**4 + 1/70*r**j + 0*r**2 - 2/21*r**3 + 0 + 2*r. Factor o(u).
2*u*(u - 2)*(u + 1)/7
Let p(b) = -b**2 - 5*b + 6. Let t(r) = -r**2 - 4*r + 5. Let g(u) = 5*p(u) - 6*t(u). Let v(k) = 10*k**2 - 13*k + 3. Let y(q) = 18*g(q) - 2*v(q). Factor y(o).
-2*(o - 3)*(o - 1)
Let a = -22565 + 22568. Factor 3/4*z**3 - 9/4*z**2 + a + 0*z.
3*(z - 2)**2*(z + 1)/4
Let n be ((-44)/(-198))/((-6)/(-315)) - 9. Factor -n*o - 1/3 - 7/3*o**2.
-(o + 1)*(7*o + 1)/3
Let l = -19/35 - -47/35. Let l*m**2 + 8/5*m + 4/5 = 0. Calculate m.
-1
Suppose -2*f = -5*d + 201, 0 = 5*d - 0*f - 5*f - 210. Suppose d*t + 2 = 40*t. Let -2/3*z + 3/2*z**3 + t*z**2 - 7/6*z**4 + 0 = 0. Calculate z.
-1, 0, 2/7, 