 - 4*p**3 + u*p**4 - 17*p. Solve x(q) = 0 for q.
0, 2
Suppose 4056 = 29*r - 4760. Find l such that -r*l**2 - 4*l**3 + 289*l**2 - 6*l**3 = 0.
-3/2, 0
Let l(r) be the second derivative of 0*r**2 + 7*r - 8/3*r**3 + 0 + 1/30*r**6 + 1/8*r**4 + 1/10*r**5. Let v(c) be the second derivative of l(c). Factor v(w).
3*(2*w + 1)**2
Determine z so that -62*z**5 + 4*z - 3*z**3 - 65*z**5 - 6*z**2 - 4*z + 15*z**4 + 121*z**5 = 0.
-1/2, 0, 1, 2
Find r, given that 0*r + 0*r**2 - 21/2*r**4 + 0 + 441/4*r**3 - 3/4*r**5 = 0.
-21, 0, 7
Let f = -329 + 333. What is q in -10*q**f + 151*q - 548*q**2 + 256*q + 178*q**2 + 136*q**3 - 70 + 29*q**3 - 122*q = 0?
1/2, 1, 14
Let m = -1466/9 + 11731/72. Let i(f) be the second derivative of 11/120*f**6 - 1/24*f**3 + 3/8*f**2 + 2*f - 7/24*f**4 + 0 + m*f**7 - 3/40*f**5. Factor i(w).
(w - 1)*(w + 1)**3*(7*w - 3)/4
Let j = -479 - -474. Let u be j + 2 - ((-17)/2 - -4). Factor 0 - 3*m**4 - u*m - 1/2*m**5 - 5*m**2 - 6*m**3.
-m*(m + 1)**3*(m + 3)/2
Let a(t) be the second derivative of -7*t**6/30 - 27*t**5/10 - 25*t**4/4 - 8*t**3/3 + 6*t**2 + 1871*t. Factor a(n).
-(n + 1)**2*(n + 6)*(7*n - 2)
Let o = 409500 + -409498. Let y = -184 + 1294/7. Factor -9/7 - y*p + 3/7*p**o.
3*(p - 3)*(p + 1)/7
Determine s so that 60*s + 105/4*s**2 - 3/8*s**4 + 36 + 15/8*s**3 = 0.
-4, -2, -1, 12
Suppose 9 = -3*i + 24, 284 = 3*t + i. Determine l so that -12*l**4 - l**2 + 21*l**3 - 96*l + t*l - 5*l**2 = 0.
-1/4, 0, 1
Let u(x) be the second derivative of -8*x + 5/6*x**3 + 3*x**2 - 2 - 1/12*x**4. Factor u(p).
-(p - 6)*(p + 1)
Let r(t) be the first derivative of t**3/3 - 43*t**2/2 + 82*t + 1793. What is g in r(g) = 0?
2, 41
Let o(i) be the second derivative of -229441*i**6/70 + 99153*i**5/20 - 480*i**4/7 + 2*i**3/7 + 2130*i. Suppose o(w) = 0. What is w?
0, 2/479, 1
Let a(k) be the third derivative of 61*k - 1/30*k**5 + k**2 + 1/3*k**3 + 1/84*k**4 + 0 - 1/420*k**6. Factor a(y).
-2*(y - 1)*(y + 1)*(y + 7)/7
Let -63/2*i**2 + 9/8*i**4 - 15*i**3 + 0*i + 0 + 3/8*i**5 = 0. Calculate i.
-7, -2, 0, 6
Let m = -7430 + 7430. Let g(j) be the second derivative of 0 + 3*j + m*j**2 - 1/4*j**3 + 1/24*j**4. Find i, given that g(i) = 0.
0, 3
Let y(h) be the second derivative of 50/9*h**2 + 17/9*h**3 + 1/54*h**4 + 127*h + 0. Determine r so that y(r) = 0.
-50, -1
Let -3/7*g**2 - 51/7 - 54/7*g = 0. Calculate g.
-17, -1
Let y(k) = k**2 - 839*k + 5002. Let z be y(6). Let d(f) be the second derivative of 1/160*f**5 + 1/4*f**2 + 1/6*f**3 + 0 + 5/96*f**z + 13*f. Factor d(u).
(u + 1)*(u + 2)**2/8
Let v(c) = 6*c**2 - 1. Let w be v(1). Let h = 8 - -1. Determine x so that w*x**2 + 17*x - x**2 - h*x = 0.
-2, 0
Suppose 4*t = -2*s - 18, 86 = -4*t + 58. Let o(x) be the first derivative of -1/14*x**4 - s + 2/21*x**3 + 2/7*x**2 + 0*x. Factor o(u).
-2*u*(u - 2)*(u + 1)/7
Suppose 0 = 2*t - d + 220, -3*t = 5*d + 227 + 77. Let b be 0*(-7 - t/16). Find s, given that 10/11*s**2 + b + 2/11*s**4 + 0*s + 12/11*s**3 = 0.
-5, -1, 0
Determine o, given that -o**2 - 1668*o + 3339*o - 1783*o = 0.
-112, 0
Let o(t) be the third derivative of 0*t - 87*t**2 + 1/60*t**5 + 0 + 1/40*t**6 + 1/210*t**7 - 1/3*t**3 - 1/8*t**4. Find g, given that o(g) = 0.
-2, -1, 1
Let q(t) be the first derivative of -t**5/10 + 53*t**4/4 - 1151*t**3/2 + 8533*t**2 - 51842*t - 1951. Factor q(n).
-(n - 46)**2*(n - 7)**2/2
Let o(z) be the first derivative of z**3/15 - 74*z**2/5 + 1074. Factor o(v).
v*(v - 148)/5
Let j(v) be the second derivative of v**5/70 + 30*v**4/7 - 52*v**3/3 + 2394*v. Factor j(t).
2*t*(t - 2)*(t + 182)/7
Let v(u) be the second derivative of u**7/1470 - 11*u**6/2520 + u**5/84 + 5*u**4/4 - 9*u. Let y(r) be the third derivative of v(r). Factor y(g).
2*(g - 1)*(6*g - 5)/7
Let u(l) be the third derivative of 0*l**3 - 28*l**2 + 1/10*l**6 + 0 - 1/7*l**7 + 0*l**4 + 0*l + 2/25*l**5 - 25/112*l**8. Find y, given that u(y) = 0.
-2/5, 0, 2/5
Let s be 1/2*(-1 + -1)*(44 - 44). Let f(w) be the second derivative of 1/4*w**4 - 1/60*w**6 + s*w**2 - 5*w + 0*w**3 + 0 + 1/40*w**5. Let f(a) = 0. What is a?
-2, 0, 3
Let f be (-80626)/(-140) + 20/(-8). Let p = 574 - f. Factor -12/5*n**2 - 3/5*n + 18/5 - p*n**3.
-3*(n - 1)*(n + 2)*(n + 3)/5
Suppose 5*s - 7*s + 46 = 0. Suppose -2*z = 5*a - 7, -2*a + s = -4*z + 1. Factor -16/15 + 28/5*w**2 + 22/15*w**a + 24/5*w.
2*(w + 2)**2*(11*w - 2)/15
Suppose -77618 - 395/2*l**2 - 1/4*l**3 - 39203*l = 0. Calculate l.
-394, -2
Let p = 20 + -16. Suppose 3*d + 5*l - 3 = 18, 0 = 2*d - p*l + 8. Find s such that -1 - 2 - 6*s - 4*s**d + 8*s**2 - 7*s**2 = 0.
-1
Let x(q) be the third derivative of q**5/270 + 125*q**4/54 - 251*q**3/27 - 52*q**2 - 4. Factor x(t).
2*(t - 1)*(t + 251)/9
Let y(t) be the first derivative of -17*t**2 - 7*t - 155/12*t**3 + 25/16*t**4 - 32. Let y(w) = 0. Calculate w.
-2/5, 7
Factor -183 - 4*v**3 - 89 - 13*v**3 - 48*v**2 - 324*v + 21*v**3.
4*(v - 17)*(v + 1)*(v + 4)
Let -2725*n + 3*n**2 + 2136*n**3 - 4 + 1 - 490*n + 1079*n = 0. What is n?
-1, -1/712, 1
Let w = 50848 + -104477/2. Let n = 1391 + w. Suppose 0*j - 1/6*j**3 + 0 + n*j**2 = 0. What is j?
0, 3
Let p be (-27 + (-3920)/(-147))*-2*6. Solve 24/5*b**3 + 6*b**p + 0 + 0*b + 8/5*b**5 - 8/5*b**2 = 0 for b.
-2, 0, 1/4
Let h be 108/(-18 + 12) + 78/4. Let -h*k**3 - 1/4*k**4 - 2*k**2 + 0*k + 0 = 0. What is k?
-4, -2, 0
Let h = 366721 + -2567020/7. Solve -3/7*a**4 - 45/7*a**2 + 0 - h*a - 3*a**3 = 0 for a.
-3, -1, 0
Let s(j) be the second derivative of -66*j + 0*j**2 - 7/48*j**4 + 0 + 1/56*j**7 + 7/120*j**6 - 1/80*j**5 - 1/12*j**3. Determine x, given that s(x) = 0.
-2, -1, -1/3, 0, 1
Suppose 215 + 1/4*d**3 + 216*d + 219/4*d**2 = 0. Calculate d.
-215, -2
Let o(u) be the second derivative of -u**5/10 - 29*u**4 - 115*u**3 - 172*u**2 + 1487*u. Determine g so that o(g) = 0.
-172, -1
Let t be 7*2 + ((-331)/(-1986) - 1/6). Suppose -t - 1/2*y**2 + 29/2*y = 0. What is y?
1, 28
Suppose -47*f + 36 = 4*u - 44*f, -3*u + 27 = -f. Determine s, given that 12*s**2 - 40*s - s**2 - 4*s**2 - u*s**2 = 0.
-20, 0
Find x such that 732*x + 3*x**3 - 58 + 43 + 3*x**3 - 754*x - x**4 = 0.
-1, 3, 5
Let x(u) be the second derivative of -u**4/18 + 355*u**3/9 - 641*u. What is p in x(p) = 0?
0, 355
Let 0*j**4 - 598 + 52*j**4 + 75*j**4 - j**5 + 4304*j + 1056*j**3 + 2758 + 3208*j**2 = 0. What is j?
-2, 135
Let k be 1/(0 + (-5)/(-35)). Let m(s) = -s**2 + 8*s + 17. Let o be m(k). Determine w, given that -w**4 + 4*w**2 - w - o*w**3 + 5*w + 23*w**3 = 0.
-2, -1, 0, 2
Let g(i) = 20*i**2 - 94*i + 6. Let l(o) = -16*o**2 + 99*o - 5. Let h(c) = -5*g(c) - 6*l(c). Factor h(a).
-4*a*(a + 31)
Let n(i) be the third derivative of -i**5/15 + 3*i**4/2 - 16*i**3/3 + 353*i**2 - 2. Solve n(v) = 0.
1, 8
Suppose 40 + 29/3*f + 1/3*f**2 = 0. What is f?
-24, -5
Let k be (((-2322)/(-72))/(-43))/(-12). Let j(p) be the second derivative of 0 + 0*p**2 - 3/80*p**5 + 1/4*p**3 + k*p**4 + 29*p. Factor j(b).
-3*b*(b - 2)*(b + 1)/4
Factor -4/9*f**3 + 28 + 68/9*f**2 - 316/9*f.
-4*(f - 9)*(f - 7)*(f - 1)/9
Let i be ((-27)/(-72))/(4 + 10/(-4)). Let m(p) be the third derivative of i*p**5 + 0*p**3 - 1/24*p**6 + p**2 + 0 + 0*p**4 + 0*p. Let m(j) = 0. Calculate j.
0, 3
Let s(x) be the third derivative of x**7/420 - x**6/40 - x**5/10 + 19*x**4/24 - 7*x**3/4 - 6*x**2 + 54*x. Let s(t) = 0. Calculate t.
-3, 1, 7
Let l be ((-9)/(-18))/(26*(-1)/(-92)). Let x = 447/91 - l. Solve 0 - x*f**2 + 38/7*f**3 + 6/7*f**5 - 26/7*f**4 + 4/7*f = 0.
0, 1/3, 1, 2
Let n be ((-12)/18)/(-4 - (-325)/117). Determine u, given that -36/11 + 24/11*u**2 + 6/11*u + n*u**3 = 0.
-3, -2, 1
Let k(x) = -75*x**2 - 75*x - 612. Let h(v) = -63*v**2 - 77*v - 612. Let t(n) = 6*h(n) - 5*k(n). Suppose t(z) = 0. Calculate z.
-17, -12
Let l(j) be the second derivative of 35*j**4/12 - 535*j**3/6 + 75*j**2 - 7*j - 34. Determine z so that l(z) = 0.
2/7, 15
Let j(r) = 2*r**5 - 4*r**4 + 3*r**3 - 2*r**2 - 2*r. Let f(q) = -q**5 + q**4 + q**2. Let x(u) = -3*f(u) - j(u). Factor x(a).
a*(a - 1)**2*(a + 1)*(a + 2)
Let i(a) be the first derivative of -a**4/4 + 4*a**3 - 7. Let o be i(12). Factor 6*b**4 - 3*b**2 - 9*b**4 - 6*b**3 + 0*b + o*b.
-3*b**2*(b + 1)**2
Let o(h) be the second derivative of -h**4/3 - 6*h**3 + 324*h**2 - 29*h - 2. Factor o(f).
-4*(f - 9)*(f + 18)
Let l be 6/18*(-2 + 2). Determine g, given that -2/13*g**5 + 0*g**3 - 6/13*g**4 + l + 0*g + 8/13*g**2 = 0.
-2, 0, 1
Find s,