 g(a) = 0?
-30, -2/13, 2/7
Let p(u) be the third derivative of u**5/30 + 19*u**4/4 - 118*u**3/3 - 643*u**2. Factor p(l).
2*(l - 2)*(l + 59)
Let k(n) = -2*n**2 + 78*n - 650. Suppose -89*o = -88*o - 14. Let d(z) = 6*z**2 - 237*z + 1951. Let x(u) = o*k(u) + 4*d(u). Factor x(p).
-4*(p - 18)**2
Suppose 811*x + a = 814*x - 19, 0 = -2*x + 2*a + 26. Determine j, given that -1444/3*j**x + 0 - 16/3*j + 304/3*j**2 = 0.
0, 2/19
Let a(h) be the second derivative of 0*h**2 + 1/4*h**5 - 1/6*h**6 + 2*h + 5/2*h**4 + 0*h**3 - 2. Factor a(c).
-5*c**2*(c - 3)*(c + 2)
Let m(i) = -2*i**3 + 12*i**2 + i - 5. Suppose 5*g + 1 - 7 = -d, -3*d = 4*g - 18. Let n be m(d). Suppose 8*w - 23*w**2 + n + 7*w**3 + 12*w - 5 = 0. What is w?
2/7, 1, 2
Let b(x) be the first derivative of x**4/7 + 128*x**3/21 + 178*x**2/7 + 232*x/7 - 6450. Factor b(h).
4*(h + 1)*(h + 2)*(h + 29)/7
Factor -1/6*k**2 - 50/3 + 101/6*k.
-(k - 100)*(k - 1)/6
Let h(o) = 407*o + 57. Let x be h(-1). Let n be (-9 + (-3190)/x)/((-1)/(-5)). Find t such that n*t + 0 - 4/7*t**2 = 0.
0, 1
Let c(g) be the third derivative of g**6/360 - g**5/60 + 2*g**3/9 - 27*g**2 + 78. Factor c(d).
(d - 2)**2*(d + 1)/3
Let v(a) = 170*a**3 - 1860*a**2 - 95*a + 1560. Let x(h) = 9*h**3 - 98*h**2 - 5*h + 82. Let g(b) = -4*v(b) + 75*x(b). Factor g(m).
-5*(m - 18)*(m - 1)*(m + 1)
Let o(d) be the first derivative of -2*d**6/3 + 16*d**5/5 - 5*d**4 + 8*d**3/3 - 3053. Find n, given that o(n) = 0.
0, 1, 2
Factor 1260*s**3 - 3774*s**3 + 1261*s**3 + 1257*s**3 - 56*s + 944 + 216*s**2 - 1108*s.
4*(s - 4)*(s - 1)*(s + 59)
Suppose -13 + 98*g + 34*g + 1 - 1051*g**3 - 132*g**2 + 1077*g**3 + 34*g = 0. What is g?
1/13, 2, 3
Let g(v) = 993*v - 1983. Let d be g(2). Let n(x) be the second derivative of -5*x**2 + 5/3*x**d + 0 - 5/24*x**4 + 21*x. Find h such that n(h) = 0.
2
Let l(i) be the first derivative of -2*i**5/65 - 21*i**4/13 - 206*i**3/13 + 352*i**2/13 + 13948. Determine c, given that l(c) = 0.
-32, -11, 0, 1
Let w be (-9)/(11/((-154)/252)). Let a(z) be the second derivative of -1/10*z**3 - w*z**4 - 14*z - 3/4*z**5 + 0 + 0*z**2. Find j, given that a(j) = 0.
-1/5, 0
Let w be (14 - (0 - 2))*2/(-2). Let i be (w/(-10))/(20/50). Let 3*k**i - 11/2*k + 6*k**2 + 23/2*k**3 - 3 = 0. Calculate k.
-3, -1, -1/2, 2/3
Let r be 6/21 - ((-5214)/(-462) + (-11)/1). Determine i, given that 0*i + r + 4/3*i**2 = 0.
0
Let v(f) = -5*f**3 + 7*f**2 + f - 75. Let j(l) = -9*l**3 + 14*l**2 + 3*l - 150. Let h be 5/(-2)*168/(-60). Let y(z) = h*v(z) - 4*j(z). Factor y(x).
(x - 5)**2*(x + 3)
Let p be ((1 - -2)/(41 + -32))/(1/6). Suppose -2*w - 14 = -2*j - 4, 2*w = -j - 10. Factor j*z**p - 1/10*z**3 + 2/5*z + 0.
-z*(z - 2)*(z + 2)/10
Suppose -16*r = -26*r + 680. Factor -3*u + 16*u**2 - 479*u**4 - 15*u + r*u**3 + 6*u + 519*u**4.
4*u*(u + 1)**2*(10*u - 3)
Suppose 0 = 89*o - 101*o + 48. Find p, given that 4*p**o - 27*p + 20*p**2 - 28*p**3 + 13*p + 42*p - 24 = 0.
-1, 1, 6
Let s(k) be the second derivative of 3*k**5/20 + 103*k**4/4 + 2491*k**3/2 - 25281*k**2/2 - 2002*k. Determine a so that s(a) = 0.
-53, 3
Let v(a) be the third derivative of -1/448*a**8 + 0 + 0*a**4 - 1/14*a**7 + 0*a**3 + 249*a**2 + 0*a - 17/40*a**5 - 53/160*a**6. Find f such that v(f) = 0.
-17, -2, -1, 0
Let w(f) be the second derivative of -f**7/231 - f**6/11 - 27*f**5/55 - 1195*f + 1. Factor w(n).
-2*n**3*(n + 6)*(n + 9)/11
Let n(g) be the first derivative of 4*g**3/3 - 234*g**2 + 603. Factor n(o).
4*o*(o - 117)
Let x = 4/7909 + 15790/55363. Factor -12/7*y + 18/7 + x*y**2.
2*(y - 3)**2/7
Let g(a) be the first derivative of a**5 + 0*a**3 + 0*a**2 + 0*a + 5/2*a**4 + 89. Factor g(c).
5*c**3*(c + 2)
Let s be (-133758)/39 + 2 + 7 + -2. Let b = -3421 - s. Find l, given that 4/13 - b*l + 42/13*l**2 + 10/13*l**4 - 34/13*l**3 = 0.
2/5, 1
Let p(d) be the second derivative of d**6/540 - d**5/90 + 2*d**3/3 - 2*d**2 - 25*d + 1. Let a(g) be the second derivative of p(g). Factor a(b).
2*b*(b - 2)/3
Let c(n) be the third derivative of -n**6/60 - 3*n**5/5 - 59*n**4/12 - 14*n**3 - 713*n**2. Solve c(p) = 0.
-14, -3, -1
Suppose 4 = i, 0 = -3*s + 5*i - 3*i - 134. Let d be (-1 - 82/s)*231/385. Factor 81/7*q**3 - 32/7*q - 45/7*q**2 - d.
(q - 1)*(9*q + 2)**2/7
Determine m, given that -140*m**3 - 107 - 6488*m**4 + 395*m**3 - 721*m**2 + 191*m**2 + 480*m + 6443*m**4 - 53 = 0.
1, 4/3, 2
Let b(x) be the third derivative of -x**8/336 - 59*x**7/210 + 63*x**6/20 - 193*x**5/15 + 65*x**4/3 + x**2 - 8*x + 82. Factor b(c).
-c*(c - 2)**3*(c + 65)
Let w(m) be the second derivative of 91*m + 0 + 1/70*m**5 - 11/42*m**4 + 0*m**3 + 0*m**2. Determine h, given that w(h) = 0.
0, 11
Let m(u) be the third derivative of u**6/24 - u**5/4 - 125*u**4/24 - 35*u**3/2 - 270*u**2. Factor m(z).
5*(z - 7)*(z + 1)*(z + 3)
Let x(s) be the second derivative of -s**7/280 + s**5/10 - 19*s**3/6 - 18*s. Let z(a) be the second derivative of x(a). Determine g, given that z(g) = 0.
-2, 0, 2
Suppose 0*k - 24 = 4*k. Let z(a) = -3*a - 18. Let y be z(k). Factor 32*o - 8*o**3 + 16*o**2 + y*o**3 - 2*o**4 + 0*o**3 - 2*o**4.
-4*o*(o - 2)*(o + 2)**2
Let n = -3083/7590 - -10/253. Let k = n + 7/6. Solve -4*c - 24/5 - k*c**2 = 0.
-3, -2
Let a = 51783/20 + -2589. Let z(o) be the first derivative of 0*o**2 - 1/8*o**6 + 0*o**4 + 14 + 0*o**3 - a*o**5 + 0*o. Factor z(s).
-3*s**4*(s + 1)/4
Factor 25/3*z - 1/6*z**4 + 25/6 - 1/3*z**3 + 4*z**2.
-(z - 5)*(z + 1)**2*(z + 5)/6
Let j(x) = -65*x**2 - 2050*x + 55. Let b(z) be the second derivative of -7*z**4/12 - 38*z**3 + 3*z**2 + 228*z. Let y(m) = -55*b(m) + 6*j(m). Factor y(v).
-5*v*(v - 48)
Let i(k) = 7*k**5 + 5*k**4 - k**3 - k**2 + 2*k - 2. Let a(w) = -39*w**5 - 26*w**4 + 5*w**3 + 4*w**2 - 10*w + 11. Let n(y) = -2*a(y) - 11*i(y). Factor n(t).
t*(t - 2)*(t - 1)**2*(t + 1)
Let f(z) be the second derivative of z**6/105 - 3579*z**5/70 + 533420*z**4/7 + 3204100*z**3/21 + 13783*z. Let f(m) = 0. What is m?
-1, 0, 1790
Factor 20/3*j + 0 + 952/3*j**3 - 98/3*j**4 + 278/3*j**2.
-2*j*(j - 10)*(7*j + 1)**2/3
Let j(g) = g**3 + 5*g**2 + 6*g + 4. Let f be j(-2). Suppose f*i = -9*i + 26. Solve 160*t + 40*t**3 - 87*t**i - 80 - 7*t**2 - 26*t**2 - 5*t**4 = 0.
2
Let w(t) = 2*t**3 + 17*t**2 + 9*t + 5. Let y be w(-8). Let s(i) = -i**3 + i**2 + 12*i + 2. Let m be s(y). Factor 0 - 5/2*a**3 + 8*a**m - 7/2*a**4 - 2*a.
-a*(a - 1)*(a + 2)*(7*a - 2)/2
Let w(y) be the second derivative of y**4/3 - 46*y**3/3 - 48*y**2 - 498*y. Factor w(g).
4*(g - 24)*(g + 1)
Suppose b - 10 = -2*q, -16 = -b + 17*q - 21*q. Let c be ((-2)/10)/((-12)/15). Factor 1/4*k**2 + 0*k + 0 - 1/4*k**5 - c*k**b + 1/4*k**3.
-k**2*(k - 1)*(k + 1)**2/4
Let a(l) be the second derivative of 1/42*l**4 - 28 + 2*l + 9/7*l**2 + 10/21*l**3. Factor a(b).
2*(b + 1)*(b + 9)/7
Suppose 14*j + 34 = -4*i, 5*i - 22 = -46*j + 50*j. Factor 0*g + 2/5*g**i - 3/5*g**3 + 1/5*g**4 + 0.
g**2*(g - 2)*(g - 1)/5
Determine s so that -336*s - 4/5*s**3 + 0 + 164/5*s**2 = 0.
0, 20, 21
Let d(i) = 41*i - 201. Let j be d(5). Find f, given that 47*f**2 + 42*f - 5*f**j + 16 - 51*f**2 - 42*f**3 - 7*f**2 = 0.
-8, -1, -2/5, 1
Suppose 19*x - 82 - 317 = 0. Let l be 36/(-189)*x/(-9). Find n, given that 2/3*n**2 - 2/9*n - 2/9*n**4 + 2/9*n**3 - l = 0.
-1, 1, 2
Suppose -11*v = 11*v - 264. Solve 12 - 17*s**3 - 3*s**2 + 4*s**2 + 37*s**3 - 23*s**3 - 4*s**2 + v*s = 0 for s.
-2, -1, 2
Let l(v) = -541*v**4 - v**3 - 810*v**2 - 741*v + 29. Let f(w) = 112*w**4 + 162*w**2 + 148*w - 6. Let s(p) = -29*f(p) - 6*l(p). Suppose s(c) = 0. Calculate c.
-7, -1, 0, 11
Let w be -3 - -9 - -12*(-99)/666. Let v = w + -2266/555. Factor -8/15 + 2/15*p**3 - v*p + 8/15*p**2.
2*(p - 1)*(p + 1)*(p + 4)/15
Let v(w) be the third derivative of 0*w**3 + 1/420*w**7 + 35*w + 0 - 1/24*w**5 - 1/240*w**6 - 2*w**2 - 1/16*w**4. Suppose v(a) = 0. Calculate a.
-1, 0, 3
Let 24 + 46/7*k + 1/7*k**2 = 0. What is k?
-42, -4
Let l be ((-1)/(-2) + -1)/(5/(-30)). Suppose 3*s - 5 = 5*w, l*w + w + 4 = -4*s. Factor 3/2*c + s + 1/2*c**2.
c*(c + 3)/2
Let a(s) be the second derivative of 0*s**2 - 3/20*s**5 + 2*s - 1/30*s**6 + 1/3*s**3 + 1/12*s**4 + 1/42*s**7 - 2. Suppose a(l) = 0. Calculate l.
-1, 0, 1, 2
Let s(y) be the second derivative of -y**4/12 - 353*y**3/6 + 177*y**2 - 2412*y + 1. Factor s(x).
-(x - 1)*(x + 354)
Let u = -21616 + 21616. Let b(m) be the first derivative of 31 - 4/57*m**3 + 0*m + 0*m**5 + 1/57*