lve -g + 3/4*j - j**4 + 5/4*j**2 - 3/4*j**3 = 0 for j.
-1, 1/4, 1
Let a = 63 + -60. Suppose -16*m - 2*m**4 + 12*m**2 + 135*m**a + 6 - 135*m**3 = 0. What is m?
-3, 1
Let x = 4415 - 4413. Let g(q) be the first derivative of 1/4*q**x - 21 - 1/5*q + 3/5*q**3. Determine j, given that g(j) = 0.
-1/2, 2/9
Let g be 55/1155 - (-187)/42. Let z(x) be the first derivative of g*x - 3/8*x**2 - 11 - 1/4*x**3. Determine s, given that z(s) = 0.
-3, 2
Let t(y) be the second derivative of 4*y**6/5 + 81*y**5/5 + 177*y**4/2 + 277*y**3/2 + 189*y**2/2 + 941*y. What is o in t(o) = 0?
-9, -7/2, -1/2
Determine u, given that 20*u**5 + 3930*u**2 - 81*u**4 - 836*u**2 - 1045*u + 10360*u**3 + 1939*u**4 + 5104*u**2 + 2785*u = 0.
-87, -5, -1/2, -2/5, 0
Let p = 8036 - 4986. Determine x so that -128*x**2 - 3062*x**3 - 155 + 85*x + 4*x**4 + 27 - 325*x + p*x**3 = 0.
-2, -1, 8
Suppose -1582 = 3*n - 8*k + 3*k, -2*n + k = 1064. Let l be 445/n - (-194)/60. Factor j**4 + l*j**3 + 0 + 2/5*j + 9/5*j**2.
j*(j + 1)**2*(5*j + 2)/5
Let s(f) be the first derivative of 1/6*f**3 - 1/4*f**2 - f + 61. Suppose s(h) = 0. What is h?
-1, 2
Let f be (-16)/24 + 70/(-28) + 4. Let s(r) be the second derivative of -7/20*r**5 + f*r**4 - 2/3*r**3 + 14*r + 0*r**2 + 1/20*r**6 + 0. Factor s(i).
i*(i - 2)**2*(3*i - 2)/2
Let o(u) be the third derivative of -u**7/315 + 449*u**6/180 - 50173*u**5/90 - 5725*u**4/4 + 11250*u**3 + 4309*u**2. What is i in o(i) = 0?
-2, 1, 225
Let n(t) be the first derivative of -3*t + 40 - 2*t**2 + 1/3*t**3 + 1/2*t**4. Let n(u) = 0. Calculate u.
-1, 3/2
Let q be (-4)/22 - (-3294)/(-33). Let v be 150/q*(-4)/6*2. Determine h so that -16*h**v + 32*h - 68*h**3 - 35*h**3 + 11*h**3 - 60*h**4 - 44*h**3 = 0.
-2, -2/3, 0, 2/5
Let i(k) be the third derivative of -1/28*k**7 + 0*k**4 + 64/3*k**3 + 1/3*k**6 + 0*k - 4/3*k**5 + 1/672*k**8 + 6 - 9*k**2. Factor i(v).
(v - 4)**4*(v + 1)/2
Suppose -3*q = 4*s - 9, -3*s = -4*q - 11 - 2. Find m, given that -25 - s*m**2 + 48*m - 120 - 47 = 0.
8
Let s(d) be the third derivative of 25*d**8/1344 + d**7/30 - 47*d**6/480 - d**5/40 - 11*d**2 + 62. Let s(m) = 0. What is m?
-2, -3/25, 0, 1
Let v(t) be the third derivative of -t**7/420 - 13*t**6/120 + 34*t**5/15 + t**2 - 309*t - 2. Factor v(q).
-q**2*(q - 8)*(q + 34)/2
Let d(j) be the second derivative of -32 + 2*j + 3/110*j**5 - 1/11*j**3 + 1/66*j**4 - 1/11*j**2. Factor d(k).
2*(k - 1)*(k + 1)*(3*k + 1)/11
Let z(q) be the second derivative of -q**5/140 - q**4/8 - 6*q**3/7 - 33*q**2 - 96*q. Let k(c) be the first derivative of z(c). Factor k(d).
-3*(d + 3)*(d + 4)/7
Let r(g) = 4*g**3 - 111*g**2 + 696*g - 163. Let m(x) = 2633*x - 490 - 629*x - 103*x**2 + 12*x**3 + 85*x - 229*x**2. Let u(f) = -6*m(f) + 17*r(f). Factor u(c).
-(c - 13)**2*(4*c - 1)
Let g(v) be the third derivative of v**5/100 + 9*v**4/40 - 9*v**3 - 9*v**2 - 2*v - 4. Find c such that g(c) = 0.
-15, 6
Let o(c) = -6693*c - 40156. Let h be o(-6). Factor -7/3*z**4 + h*z**2 + 19/3*z**3 + 0*z + 0.
-z**2*(z - 3)*(7*z + 2)/3
Let u = -12 + 16. Let -12 + 12*f**3 + 0*f**4 + 31*f - f**4 - 43*f + 4*f**u + 9*f**2 = 0. What is f?
-2, -1, 1
Let o = 103503 + -103501. Factor 8/5*s**3 + 4/5*s + 0 - 2*s**o - 2/5*s**4.
-2*s*(s - 2)*(s - 1)**2/5
Suppose -79*n + 220 + 3*n**2 - 66 - n**2 + 3*n**2 - 4*n**2 = 0. What is n?
2, 77
Factor 2*f**2 + 264/5 + 1322/5*f.
2*(f + 132)*(5*f + 1)/5
Suppose 295 + 61 - 1416*a - 392 + 1695*a**2 - 243*a**3 = 0. What is a?
-2/81, 1, 6
Let y = -327/8 - -73583/1800. Let k(j) be the second derivative of 11*j - 2/45*j**4 - y*j**6 + 2/75*j**5 + 0*j**3 + 0 + 0*j**2. Factor k(z).
-2*z**2*(z - 2)**2/15
Factor 63281*a**4 - 4*a**2 - 31766*a**4 - 31645*a**4 - 134*a**3.
-2*a**2*(a + 1)*(65*a + 2)
Determine l so that -65/2*l**4 + 0*l + 65/2*l**2 + 0 - 5/2*l**3 + 5/2*l**5 = 0.
-1, 0, 1, 13
Find v such that -176/5*v + 34*v**2 - 344/5 + 2/5*v**3 = 0.
-86, -1, 2
Let j(o) be the third derivative of -o**9/98280 - o**8/2912 - 25*o**4/4 - 17*o**2. Let p(w) be the second derivative of j(w). Factor p(t).
-2*t**3*(t + 15)/13
Let h(o) be the third derivative of o**7/210 + 11*o**6/120 - 7*o**5/30 - o**4 - 102*o**2 + 10*o. Factor h(f).
f*(f - 2)*(f + 1)*(f + 12)
Let y = 5143 + -30857/6. Let h(d) be the first derivative of 0*d + 0*d**2 + 7/12*d**4 + 7 - y*d**6 - 1/3*d**3 + 7/15*d**5. Determine g so that h(g) = 0.
-1, 0, 1/3, 3
Let z = 1376 - 1371. Let o(l) be the first derivative of 0*l**2 + 1/30*l**z - 16 + 1/24*l**4 + 0*l - 1/36*l**6 - 1/18*l**3. Factor o(i).
-i**2*(i - 1)**2*(i + 1)/6
Let l(v) = v**4 + 2*v**3 - v**2 - v. Let p(c) = -3*c**4 + 73*c**3 - 162*c**2 + 4*c. Let h(g) = 12*l(g) + 3*p(g). Factor h(o).
3*o**2*(o - 2)*(o + 83)
Let t = -8746 - -2203993/252. Let i(c) be the third derivative of 0*c + 0 + 0*c**4 + 0*c**3 + 39*c**2 - t*c**7 + 1/36*c**5 - 1/144*c**6. Factor i(v).
-5*v**2*(v - 1)*(v + 2)/6
Let n(o) = o**2 - 1. Let x(g) = 6*g**2 - 21*g + 105. Let p(y) = 10*n(y) - 2*x(y). Factor p(h).
-2*(h - 11)*(h - 10)
Let g(w) be the second derivative of 0 + 5/4*w**4 - 164*w - 3/10*w**6 + 0*w**2 + 1/28*w**7 + 0*w**3 + 9/40*w**5. Determine a so that g(a) = 0.
-1, 0, 2, 5
Factor 64/7*j + 8/7*j**3 - 2/7*j**4 + 0 + 8*j**2.
-2*j*(j - 8)*(j + 2)**2/7
Let z = 26783 - 18954. Factor -4*f**5 - 8 - 18*f**4 - 14*f - 8*f**4 - z*f**3 + 7773*f**3 - 64*f**2 + 2*f**4 - 22*f.
-4*(f + 1)**4*(f + 2)
Factor -35*d + 5*d**4 + 65*d**2 - 35*d**3 - 109 + 50*d + 19.
5*(d - 3)**2*(d - 2)*(d + 1)
Let n(u) be the third derivative of 1/36*u**4 - 1/180*u**6 - 16*u**2 - u - 2/45*u**5 + 0 + 4/9*u**3. Factor n(v).
-2*(v - 1)*(v + 1)*(v + 4)/3
Let m(z) = 5*z**3 + z**2 + 2*z. Let u(x) = -3*x**4 + 761*x**3 - 48374*x**2 + 93752*x. Let c(l) = m(l) - u(l). Find s, given that c(s) = 0.
0, 2, 125
Let d be 2*(39/(-3276))/(-2*5/8). Let w(x) be the third derivative of 0 + 0*x**6 + 0*x**3 - d*x**7 + 0*x**4 + 1/28*x**8 + 0*x**5 - 22*x**2 + 0*x. Factor w(j).
4*j**4*(3*j - 1)
Let z(t) = 4*t**4 + 20*t**3 + 61*t**2 + 6*t + 3. Let k(l) = 5*l**4 + 20*l**3 + 60*l**2 + 8*l + 4. Let m(d) = -3*k(d) + 4*z(d). Solve m(i) = 0.
-16, -4, 0
Let j(d) = -462*d - 921. Let y be j(-2). Let t(g) be the third derivative of -12*g**2 - 1/210*g**5 - 4/21*g**y + 0*g - 5/84*g**4 + 0. Factor t(w).
-2*(w + 1)*(w + 4)/7
Let s = -2648 - -5000. Let 76832 - 9381*j + 6*j**4 - 12571*j - 122*j**3 + s*j**2 - 4*j**4 + 10*j**3 = 0. Calculate j.
14
Let m(u) be the third derivative of -9*u**8/448 - 87*u**7/70 + 61*u**6/80 + 49*u**5/20 + 39*u**4/32 + 3105*u**2. Determine p so that m(p) = 0.
-39, -1/3, 0, 1
Let x(r) = -3*r**2 - 3962*r - 2703. Let i(f) = 3*f**2 + 3965*f + 2696. Let h(y) = 7*i(y) + 6*x(y). Factor h(u).
(u + 1327)*(3*u + 2)
Suppose -283*o + 1438*o**2 + 11*o + 270 - 4313*o**2 + 1436*o**2 + 1441*o**2 = 0. Calculate o.
1, 135
Let d(r) be the third derivative of 0*r + 3*r**3 + 8/105*r**7 + 0 - 25/8*r**4 + 113/60*r**5 + 19*r**2 - 3/5*r**6. Factor d(n).
(n - 2)*(n - 1)*(4*n - 3)**2
Solve -16/3*k - 68/3*k**2 + 76/3*k**3 + 0 - 42*k**5 + 233/3*k**4 = 0 for k.
-1/2, -2/9, 0, 4/7, 2
Factor 368/5*v - 1/5*v**3 - 5*v**2 - 1008/5.
-(v - 7)*(v - 4)*(v + 36)/5
Let z be -6 + -10 + (-693)/27. Let f = -39 - z. Determine s, given that 0 - 1/3*s**4 + 2/3*s**3 - f*s + 4/3*s**2 = 0.
-2, 0, 2
Let a = 262 + -294. Let u be ((-20)/a)/((-5)/(-2)). Factor 0*k + 0 + u*k**2 + k**3 + 5/4*k**4 + 1/2*k**5.
k**2*(k + 1)**2*(2*k + 1)/4
Suppose 10 = 5*z - 2*i, z - 22 + 17 = i. Let w(t) be the second derivative of 0 + 27*t + z*t**2 - 1/60*t**5 - 1/36*t**4 + 0*t**3. Let w(r) = 0. Calculate r.
-1, 0
Let i(m) = -38*m - 35. Let n be i(-1). Let d be 1/2 - (14 - (n - -15)). Factor -3/2*t**2 - d*t + 0.
-3*t*(t + 3)/2
Let d(o) = -13*o**3 + 16*o**2 - 36*o - 108. Let w(k) = -5*k**3 + 5*k**2 - 12*k - 36. Let n(u) = 4*d(u) - 11*w(u). Factor n(t).
3*(t - 2)*(t + 2)*(t + 3)
Let w be (18/26)/((-48237)/(-238888)). Find y, given that -w*y**4 - 48/7*y**3 + 0 - 40/7*y**2 - 4/7*y**5 - 12/7*y = 0.
-3, -1, 0
Let b be ((-3)/(-2))/(9/24). Let v = 780701/6 - 130116. Determine c, given that -v*c**3 + 0 + 4/3*c**2 - 2/3*c + 1/6*c**b = 0.
0, 1, 2
Suppose 0 = -6*g + 3*g + 471. Determine w so that 75 - g*w - 271 - 4*w**2 + 213*w = 0.
7
Suppose 4*r - 30*d + 35*d = 2327, -r + d = -593. Let t = 4132/7 - r. Factor 2/7*s**5 + 32/7*s + 64/7*s**2 + 48/7*s**3 + 0 + t*s**4.
2*s*(s + 2)**4/7
Factor 0 + 3/4*z**3 + 60*z - 6