p**5/10 + 169*p**4/6 + 176*p**3/3 + 5568*p**2. Let u(a) = 0. Calculate a.
-22, -1, 8
Suppose 7*b = 4*d + 22, 4*b + 4 - 3 = 5*d. Determine x, given that 5*x**2 - 5*x - 4*x + b*x**2 + 28 - 23*x - x**3 = 0.
2, 7
Suppose 5 = -42*n + 41*n. Let f be n - -11 - 5 - 1/4. Let 3/8*g**2 + f - 9/8*g = 0. Calculate g.
1, 2
Let q(r) be the first derivative of -r**5 - 35*r**4/2 - 145*r**3/3 + 110*r**2 + 430. Factor q(c).
-5*c*(c - 1)*(c + 4)*(c + 11)
Let o = 136 - 129. Let y(c) be the third derivative of -1/180*c**5 - 1/12*c**4 + o*c**2 + 0 + 0*c - 1/2*c**3. Factor y(j).
-(j + 3)**2/3
Let b(t) be the second derivative of -t**5/50 + 47*t**4/5 - 1344*t**3 + 7840*t**2 + 5*t + 679. Factor b(v).
-2*(v - 140)**2*(v - 2)/5
Let s(j) be the third derivative of 5*j**5/12 + 20*j**4 + 384*j**3 + 1410*j**2. Find m, given that s(m) = 0.
-48/5
Let o(n) be the second derivative of n**7/168 + n**6/60 - 3*n**5/20 - 7*n**4/24 + 11*n**3/24 + 3*n**2/2 - 864*n. Let o(u) = 0. What is u?
-4, -1, 1, 3
Let x be 46/(-161) + 4/14. Let l(h) be the third derivative of 2/3*h**3 + 0 + 1/15*h**5 + 2*h**2 + x*h + 1/3*h**4. Solve l(a) = 0.
-1
Let u = 120 + -116. Determine f so that -2*f**u - 7*f**2 + 4*f**2 + 7*f**3 - 3*f**2 + 2*f + 3*f**3 - 4*f**3 = 0.
0, 1
Let x be -50*7/(-4)*2. Let o = -206 - -382. Solve -2*n + o*n**3 - 4*n**2 - x*n**3 + 6*n = 0.
0, 2
Let o(a) be the first derivative of 8/9*a**2 - 49 - 5/18*a**4 + 0*a - 4/27*a**3 - 2/45*a**5. Factor o(r).
-2*r*(r - 1)*(r + 2)*(r + 4)/9
Let q(f) = -3*f**2 - f. Let k(r) = -18*r**2 - 12*r. Let l(b) = k(b) - 5*q(b). Let h be l(-2). What is i in 0 + 10/3*i**3 + 8/3*i + 2/3*i**4 + 16/3*i**h = 0?
-2, -1, 0
Let w be (4/16)/(9/108). Factor -32*r + 0*r**w - 25*r**2 - 20 - 4*r**3 - 8*r - r**3.
-5*(r + 1)*(r + 2)**2
Let b = -60 + 52. Let i(v) = v**3 + 7*v**2 - 10*v - 12. Let d be i(b). Factor 10*r**2 + 2*r**5 + 6*r**3 + 0*r**4 + d*r**4 - 8*r**2 + 2*r**4.
2*r**2*(r + 1)**3
Let p(z) be the first derivative of -3*z**4/4 + 49*z**3 + 303*z**2/2 + 153*z + 3034. Factor p(w).
-3*(w - 51)*(w + 1)**2
Let q be (27 + -28)/((-1)/(-2)). Let p be (1/q)/(24/(-144)). Let 1009*k**p + 2 - 1005*k**3 - 2 = 0. What is k?
0
Let u(g) be the second derivative of -g**6/120 - g**5/60 + g**4/12 + 16*g**2 - 3*g - 8. Let d(h) be the first derivative of u(h). Factor d(c).
-c*(c - 1)*(c + 2)
Solve -76 - 120*x**4 - 2*x**5 - 40*x**4 - 3354*x**3 - 6084*x**2 + 144 - 68 = 0.
-39, -2, 0
Let a be (152/20)/(23 - 0 - 23905/1050). Suppose 222/7*p + a - 6/7*p**2 = 0. What is p?
-1, 38
Let h be 207/36 + (-87)/116. What is t in 3/2*t**h - 15/2*t**4 + 33*t - 33/2*t**2 + 24 - 69/2*t**3 = 0?
-2, -1, 1, 8
Let n = -20465/4 - -5117. Let a(x) be the first derivative of 7*x**3 + 24*x**2 + n*x**4 + 36*x + 6. Factor a(k).
3*(k + 2)**2*(k + 3)
Let z = -7798/7305 - -2/2435. Let d = -22/105 - z. Find r, given that -9/7*r**3 - 3/7*r**4 + 9/7*r + d - 3/7*r**2 = 0.
-2, -1, 1
Let f be 3 + -2 + -1 + (1 - -1). Suppose z = n, z = f*n - 2*z + 2. Find y, given that 3 - 4237*y**2 - 12 + 4239*y**2 - 3 + n*y = 0.
-3, 2
Let z(q) be the first derivative of q**4/26 + 258*q**3/13 - 30*q**2 - 1552*q/13 - 3594. Find r such that z(r) = 0.
-388, -1, 2
Let y(b) = -2*b. Let p be y(-2). Suppose 10 = p*t + a, 5*t - 5*a = 16 + 9. What is o in -2*o - 2*o**2 - 2*o**2 + o + 2*o**t + 1 + 3*o**4 - o = 0?
-1, 1/3, 1
Let p(z) = -5*z**2 + 15*z + 20. Let n(k) = -16*k**2 + 44*k + 60. Let i = 216 + -226. Let b(h) = i*p(h) + 3*n(h). Suppose b(o) = 0. Calculate o.
-1, 10
Factor -132*u - 714 + 19*u**3 + 2144 + 5*u**3 - 946 - 167*u**2 + 16*u**4.
(u - 2)**2*(4*u + 11)**2
Let y(c) = c**3 - 7*c**2 + 10*c + 15. Let l be y(7). Let n = 89 - l. Factor 4*x**3 + 10*x**2 + 31 - 18 - 13 + n*x.
2*x*(x + 2)*(2*x + 1)
Let j(p) be the third derivative of 1/20*p**5 + 0 - 44*p**2 + 0*p - 7/8*p**4 + 0*p**3. Determine z, given that j(z) = 0.
0, 7
Let r = -18379213/402563 - -39768/917. Let w = -1/439 - r. Determine d, given that -2/7*d**2 - w - 18/7*d = 0.
-8, -1
Let w = -412515/7 + 4566057/77. Let 0*g + 2/11*g**5 + 0 - 35152/11*g**2 + w*g**3 - 156/11*g**4 = 0. Calculate g.
0, 26
Let b(u) be the second derivative of u**6/40 - 3*u**5/20 - u**4/8 + 3*u**3/2 + 27*u**2/8 - 1757*u. Factor b(f).
3*(f - 3)**2*(f + 1)**2/4
Suppose 2*s = 3*s. Suppose 21 = 3*u + 4*t, -u + 6*t - 5*t = s. Let 4*g**u + 10*g - 5*g**3 - 6*g = 0. Calculate g.
-2, 0, 2
Suppose -i - 4 = 0, 63*x + 4 = 62*x - i. Let a(r) be the second derivative of x*r**3 + 0 - 5/12*r**4 + 5/2*r**2 + 19*r. Factor a(y).
-5*(y - 1)*(y + 1)
Let d(h) be the first derivative of 235/2*h**2 - 150*h + 93 - 5*h**3. Find s such that d(s) = 0.
2/3, 15
Let n(g) be the first derivative of -3*g**5/160 - g**4/32 - 8*g + 48. Let p(y) be the first derivative of n(y). Find x such that p(x) = 0.
-1, 0
Find j, given that -408*j + 61635 - 20019 + 10567*j**2 - 10566*j**2 = 0.
204
Let m be 98/(-539) - 70/(-22). Factor -1402*k - 12*k**4 + 9*k**4 + 18*k**2 - 9*k**m + 1426*k.
-3*k*(k - 2)*(k + 1)*(k + 4)
Let t = 8/38819 + 7050/38819. Factor -4/11*i + t*i**2 - 48/11.
2*(i - 6)*(i + 4)/11
Let r = -5595 + 5600. Let d(u) be the second derivative of -1/252*u**7 + 18*u + 0 - 4/9*u**4 - 4/9*u**3 - 2/45*u**6 - 1/5*u**r + 0*u**2. Factor d(m).
-m*(m + 2)**4/6
Suppose -3*j + 5*b = -30, -3*j - 41*b + 6 = -42*b. Let w(x) be the first derivative of -2/3*x**3 + j*x - 2*x**2 + 1/2*x**4 - 1. Factor w(g).
2*g*(g - 2)*(g + 1)
Let l = 28192 + -56381/2. Factor -21/2*d + 0 - l*d**2.
-3*d*(d + 7)/2
Let r(c) = 5*c**4 - 91*c**3 - 581*c**2 + 3242*c - 3518. Let q(d) = d**3 + d**2 - 2*d - 2. Let y(t) = -q(t) - r(t). Find z such that y(z) = 0.
-8, 2, 22
Let k(o) be the third derivative of o**5/60 + o**2. Let g be k(-3). Factor -z**5 + 7*z**4 + 0*z**5 - g*z**4.
-z**4*(z + 2)
Suppose -5*q = 5*n - 80, -6*n + q = -9*n + 44. Factor 0*g**4 + g**4 - 81 + 0*g**3 + 161*g + n*g**3 - 143*g + 48*g**2.
(g - 1)*(g + 3)**2*(g + 9)
Factor 5*n**2 + 4*n**2 - 39 + 0*n**3 + n**3 + 0*n**2 + 6*n**2 + 23*n.
(n - 1)*(n + 3)*(n + 13)
Suppose 0 = -8*y + 6*y + b + 18, -4*b - 23 = -y. Let z be 6/y - 1102/(-21). Let 4/3 - z*t**3 + 36*t**2 - 10*t**5 + 112/3*t**4 - 34/3*t = 0. Calculate t.
1/3, 2/5, 1
Let t(a) be the first derivative of 2*a**5/55 + 23*a**4/22 + 160*a**3/33 + 76*a**2/11 - 3013. Factor t(x).
2*x*(x + 2)**2*(x + 19)/11
Let l(h) = -3*h**2 - 19*h + 2. Let q be l(-4). What is a in -16*a + 19*a - 12*a - q + 3*a**2 = 0?
-2, 5
Factor 0 - 2/13*o**2 + 648/13*o.
-2*o*(o - 324)/13
Let s be -20*16*145/(-522). Suppose 1492/9*m**3 + 1040/3*m - 32*m**4 + 20/9*m**5 - 3352/9*m**2 - s = 0. What is m?
2/5, 2, 5
Let f = -6567 - -6567. Let s(t) be the third derivative of 0*t**3 - 25*t**2 + 0*t - 1/840*t**7 - 1/480*t**6 + 1/96*t**4 + f + 1/240*t**5. Solve s(w) = 0 for w.
-1, 0, 1
Determine s so that -2/3*s**5 + 0 + 206*s**3 + 76/3*s**4 + 180*s**2 + 0*s = 0.
-6, -1, 0, 45
Let p be (49 + 21460/(-440))/(24/(-22) - -2). Factor p*v**2 + 9/2*v + 0.
v*(v + 18)/4
Let d(b) be the second derivative of b**4/120 + 122*b**3/5 + 1463*b**2/20 - 10195*b. Factor d(o).
(o + 1)*(o + 1463)/10
Let v be -4 + (6 - -6) + -1. Suppose 2*t - 6 = -5*o + v*o, -3*t = o - 5. Suppose 4/9 + 8/9*g**t + 2/9*g**3 + 10/9*g = 0. Calculate g.
-2, -1
Let -174/5*d + 356/5 - 2/5*d**3 - 36*d**2 = 0. Calculate d.
-89, -2, 1
Let o(g) be the second derivative of 0 - 2/13*g**2 - 5/39*g**3 + 17*g + 7/78*g**4. Determine h, given that o(h) = 0.
-2/7, 1
Let q(g) be the second derivative of -1/20*g**5 - 2 + 65*g - 5/4*g**4 - 17/2*g**2 + 11/2*g**3. Solve q(j) = 0 for j.
-17, 1
Let z(j) = -2*j**2 - 45*j - 24. Let r be z(-22). Let v be (((-72)/(-45))/(-8))/(r/8). Determine y so that -4/5*y**4 + v*y - 8/5 + 12/5*y**2 - 4/5*y**3 = 0.
-2, -1, 1
Let h = 2124 + -3069. Let m be (-972)/h*896/12. Factor 1/5*w**4 + m*w**2 - 32/5*w**3 - 2048/5*w + 4096/5.
(w - 8)**4/5
Let y = 16338 - 16335. Let z(j) be the first derivative of 5 + 16*j + 4*j**2 + 1/3*j**y. Factor z(v).
(v + 4)**2
Find y such that -75/8*y + 0 - 57/8*y**2 = 0.
-25/19, 0
Determine z so that 48*z**2 - 20*z - 76*z**2 - 13*z**3 + 5*z**3 = 0.
-5/2, -1, 0
Let a(z) be the second derivative of 0*z**2 + 0 + 174*z + 3/4*z**3 + 1/48*z**4. Let a(u) = 0. Calculate u.
-18, 0
Let m(s) be the second derivative of -1/120*s**5 + 1/180*s**6 + 0*s**2 + 196 - 1/72*s**4 + 1/252*s**7 + 0*s**3 - s. Factor m(n).
n**2*(n - 1)*(n + 1