 - 14 - 22 - 241*c**3 - 15*c = 0.
-3, 4
Let s(q) be the third derivative of q**7/3780 - q**6/120 - q**5/18 + q**4/3 + 11*q**3/6 - 57*q**2 - q. Let t(k) be the second derivative of s(k). Factor t(y).
2*(y - 10)*(y + 1)/3
Suppose 4*w - 119 - 489 = 0. Factor -832*x - 12*x**3 + 319*x**2 + 29*x**2 - w*x**2 + 256.
-4*(x - 8)**2*(3*x - 1)
Let x = 710 + -621. Solve -23 + 84*l - x + 22*l - 15*l**2 - 34*l + l**3 = 0 for l.
4, 7
Let y(k) be the third derivative of -k**8/112 - 29*k**7/42 - 319*k**6/20 - 1967*k**5/30 - 897*k**4/8 - 529*k**3/6 - 11*k**2 - 23*k. Solve y(g) = 0.
-23, -1, -1/3
Let l(h) = -2*h**2 + 2673*h - 2650. Let c(s) = 4*s**2 - 2676*s + 2644. Let a(b) = -3*c(b) - 4*l(b). Factor a(w).
-4*(w - 1)*(w + 667)
Suppose 30*d + 447 = -17*d + 1246. Let p = 30 + -18. Factor d*x**3 + 3*x**4 - 2*x**3 - p*x + 425*x**2 - 24 - 407*x**2.
3*(x - 1)*(x + 2)**3
Let y = 35 - -9. Suppose -y*b**4 + 8*b**5 - 13*b**4 + 640*b - 128 - b**5 + 251*b**3 - 29*b**4 + 137*b**3 - 776*b**2 = 0. What is b?
2/7, 2, 4
Let p(s) be the first derivative of 8*s**4 + 100/9*s**3 + 7/5*s**5 - 1/18*s**6 + 0*s**2 + 0*s + 162. Let p(v) = 0. Calculate v.
-2, 0, 25
Let q(c) be the first derivative of -5*c**3/3 - 80*c**2 + 340*c - 370. Factor q(n).
-5*(n - 2)*(n + 34)
Let l(y) = 7*y**3 - 23*y**2 + 15*y + 39. Let c(s) = 8*s**3 - 24*s**2 + 16*s + 40. Let q be (-7)/(-7 + 6) + -3. Let n(r) = q*l(r) - 3*c(r). Solve n(p) = 0 for p.
-1, 3
Suppose 24033*x - 39 = 24037*x - 5*n, 4*x - 27 = -n. Suppose 2/17*z**x - 8/17*z + 0 + 6/17*z**3 + 0*z**2 = 0. What is z?
-2, 0, 1
Let g(n) be the second derivative of -2*n**7/3 - 1634*n**6/15 + 548*n**5 - 2396*n**4/3 + 320*n**3 - 82*n - 4. Determine x so that g(x) = 0.
-120, 0, 2/7, 1, 2
Let b be (-17)/12*-1*(-18)/(-12). Let y = 373/168 - b. Factor -8/21*r**2 + 0 + 2/21*r**5 + y*r + 4/7*r**3 - 8/21*r**4.
2*r*(r - 1)**4/21
Let h(a) = -9*a + 18. Let y be h(2). Suppose -4*x - 8*x = y. Let 8/3*j**2 - 4/3*j**3 + x - 2/3*j**5 - 8/3*j**4 + 2*j = 0. Calculate j.
-3, -1, 0, 1
Let h(a) be the second derivative of 153*a**4/8 + 457*a**3/12 - a**2/2 - 6710*a. Factor h(o).
(o + 1)*(459*o - 2)/2
Let y(t) be the second derivative of 18769*t**7/399 - 11371*t**6/57 + 19593*t**5/95 - 554*t**4/57 + 8*t**3/57 + 684*t. Determine b so that y(b) = 0.
0, 2/137, 1, 2
Let u be (-2 - -8 - 0)*(-6)/(-9). Let y be (-4)/(-14) + 8/168 + 1. Solve 10/3*z + y*z**2 - 8/3*z**3 - 8/3*z**u - 2/3*z**5 + 4/3 = 0.
-2, -1, 1
Solve 2312/5 + 1394/15*g + 2/15*g**3 + 92/15*g**2 = 0 for g.
-17, -12
Suppose -15*u + 238 - 13 = 0. Factor -30*n**3 - 50*n + u - 3 + 11*n**4 + 3 - 6*n**4 + 6*n**2 + 54*n**2.
5*(n - 3)*(n - 1)**3
Let u(c) be the second derivative of c**4/12 - 78*c**3 + 27378*c**2 + 89*c - 2. What is s in u(s) = 0?
234
Let p(a) be the second derivative of -3*a**5/10 - 5*a**4/4 + a**3 + 15*a**2/2 - a + 56. Let p(w) = 0. Calculate w.
-5/2, -1, 1
Let z(a) = -a**2 + 11722*a - 70264. Let i be z(6). Factor 12 + 10/3*f**3 - i*f**2 + 50/3*f.
2*(f - 9)*(f - 1)*(5*f + 2)/3
Let y(o) = -15*o**3 + 220*o**2 - 340*o + 150. Let l(m) = -m**4 + 16*m**3 - 225*m**2 + 340*m - 148. Let w(v) = -5*l(v) - 6*y(v). Suppose w(r) = 0. What is r?
-8, 1, 4
Let h(g) = -16*g**4 - 102*g**3 + 1000*g**2 - 1588*g + 706. Let q(s) = s**4 - 2*s**3 - s**2 + s + 1. Let l(b) = 2*h(b) + 28*q(b). Factor l(t).
-4*(t - 5)*(t - 1)**2*(t + 72)
Let w(m) be the second derivative of -m**5/4 + 2975*m**4 - 14161000*m**3 + 33703180000*m**2 + 7792*m. Let w(a) = 0. What is a?
2380
Suppose 212*t**2 - 447*t - 200*t**2 + 23763 - 621*t = 0. What is t?
89/2
Let d(u) = u**3 + 4*u**2 - 5*u + 6. Let z be d(4). Factor -13*p**3 + 4*p**3 + 111*p**4 - z*p**4 + 27*p**2 + 81*p.
-3*p*(p - 3)*(p + 3)**2
Let b(x) = -x**2 + 6*x - 7 - 17 - 11 + 28. Let l be b(3). What is i in 4*i + 24*i**2 - 24*i + 2609 + l*i**4 - 2603 - 12*i**3 = 0?
1, 3
Determine v, given that 21*v**3 - 1026*v**2 - 1223*v**2 - 3*v**4 + 18*v + 2288*v**2 - 3*v**5 = 0.
-2, -1, 0, 3
Factor 134881*i + 6*i**3 - 135163*i - 5*i**3 + 91*i**2.
i*(i - 3)*(i + 94)
Determine l, given that 3*l**5 + 196*l**3 + 360*l - 45900 - 15*l**4 - l**4 - 113*l**4 - 322*l**3 - 237*l**3 + 46029*l**2 = 0.
-17, -1, 1, 30
Let a(l) be the second derivative of 0 + 17/6*l**6 - 13*l**5 + 24*l + 45/2*l**2 - 35*l**3 - 5/21*l**7 + 175/6*l**4. Suppose a(h) = 0. Calculate h.
1/2, 1, 3
Suppose 0 = 40*k - 62*k - 38676. Let w = -12300/7 - k. Factor -15/7*o + w + 12/7*o**2 - 3/7*o**3.
-3*(o - 2)*(o - 1)**2/7
Let s(y) be the third derivative of -y**5/240 - 31*y**4/12 - 247*y**3/24 - 1201*y**2. Solve s(z) = 0 for z.
-247, -1
Suppose -21*p - 3*p + 504 = 0. Solve -2733 - p*u**2 + 233 + 200*u + 8*u**2 + 9*u**2 = 0 for u.
25
Suppose 6*w = w + 205. Suppose -3*o - 32 = -4*r + 14, -3*r = o - w. Solve -35*p**4 + 12*p - 108*p**3 - 8 - r*p**4 + 84*p**4 + 68*p**2 = 0.
-1/3, 1/3, 1, 2
Let s = 314 + -312. Factor 3*g**3 - 47*g**2 + 109*g**2 + 429*g - 507 + 13*g**s.
3*(g - 1)*(g + 13)**2
Let h = 35070 + -35068. Let y(n) be the third derivative of -1/40*n**5 + 0*n - 1/240*n**6 + 1/8*n**4 + 0 - 45*n**h + 2/3*n**3. Find x, given that y(x) = 0.
-4, -1, 2
Factor -4*v**2 - 60954931 + 60*v + 60954931.
-4*v*(v - 15)
Let v(d) = 18*d**2 + 126*d + 3. Let p be v(-7). Let i(s) be the first derivative of 14*s + 19 + 2/3*s**p + 8*s**2. Find y, given that i(y) = 0.
-7, -1
Let k(m) = m**3 - 6*m**2 + m - 63. Let z be k(8). Find j, given that 17*j**2 + 34*j**3 - 9*j**2 - z*j**3 + 35*j**3 + 4*j - 8 = 0.
-1, 1, 2
Let r be -23 - (10881/248 + -68). Factor -r*o + 3/8*o**3 - 27/4 + 3/2*o**2.
3*(o - 2)*(o + 3)**2/8
Let o(x) be the second derivative of x**7/42 + 2*x**6/5 - 27*x**5/20 + 7*x**4/6 - 32*x - 1. Factor o(u).
u**2*(u - 1)**2*(u + 14)
Suppose z = 2*z. Let k = -10359 - -10362. Find c, given that z*c**2 + 2/7 - 1/7*c**k + 3/7*c = 0.
-1, 2
Let l(r) be the second derivative of 3*r + 0*r**3 - 17 + 9/5*r**2 - 1/3*r**4 + 1/75*r**6 + 0*r**5. Solve l(q) = 0 for q.
-3, -1, 1, 3
Suppose -13 = -2*l - 5*u, l - u - 10 = 7. Let n be 6 + (-80)/l + 4/35. What is o in -6/5*o**4 - n*o**2 + 0*o + 2/5*o**5 + 6/5*o**3 + 0 = 0?
0, 1
Let i be 444/(-1998) + (-2)/((-54)/87). Let r(q) be the first derivative of 64/3*q**i + 0*q + 0*q**2 + 4/5*q**5 + 22 + 8*q**4. Let r(u) = 0. What is u?
-4, 0
Let o(c) be the third derivative of c**5/210 + 8*c**4/21 + 52*c**3/7 + 652*c**2. Let o(h) = 0. Calculate h.
-26, -6
Suppose -6442*m = -6638*m + 980. Factor 0 + 4/5*t**m + 0*t**3 - 8/5*t**2 + 8/5*t**4 - 4/5*t.
4*t*(t - 1)*(t + 1)**3/5
Solve -311 - 2750 + 1253 - 2*a**2 + 460*a = 0 for a.
4, 226
Suppose 0 = -3*i - 3, 5*d - 4*i + 17 - 51 = 0. Find x, given that -18 + 15*x - 4 - 2*x**3 + 10*x**2 - 5*x - d*x**2 + 10 = 0.
-2, 1, 3
Let v(o) be the second derivative of 3*o**5/40 - 2*o**4 - 39*o**3/4 + 81*o**2/2 + 7558*o. Suppose v(s) = 0. What is s?
-3, 1, 18
Solve -2/11*m**2 + 0 + 254/11*m = 0.
0, 127
Let x(f) be the first derivative of 5*f**6/12 + 39*f**5/5 + 209*f**4/4 + 410*f**3/3 + 225*f**2/4 - 125*f - 3413. Factor x(q).
(q + 1)*(q + 5)**3*(5*q - 2)/2
Solve -5234136/13*m - 5604/13*m**2 - 1629561008/13 - 2/13*m**3 = 0 for m.
-934
Let f(c) = -7*c**5 + c**4. Let g(s) = 37*s**5 + 31*s**4 - 168*s**3 + 176*s**2. Let v(j) = -5*f(j) - g(j). What is b in v(b) = 0?
-22, 0, 2
Let y(h) be the second derivative of -15*h**7/49 + 92*h**6/105 - 2*h**5/35 + 5002*h. Factor y(d).
-2*d**3*(d - 2)*(45*d - 2)/7
Factor 3/4*r**3 + 419628*r + 0 + 1122*r**2.
3*r*(r + 748)**2/4
Suppose 18*v = 10*v + 40. Suppose 0 = 2*y - 6*y - v*w - 17, -4*w - 20 = 0. Suppose 1/4*b**3 + 1/2*b**y + 0 - 1/2*b**4 - 1/4*b**5 + 0*b = 0. Calculate b.
-2, -1, 0, 1
Suppose 3*d + c + 9 = 0, -15*d - 144*c + 140*c = 36. Find z, given that d + 1/2*z + 1/4*z**2 - 1/2*z**3 - 1/4*z**4 = 0.
-2, -1, 0, 1
Let k(j) be the second derivative of 3*j - 1/28*j**4 - 12/7*j**2 - 1 - 3/140*j**5 + 5/7*j**3. Suppose k(u) = 0. What is u?
-4, 1, 2
Let i = 12127/15295 + 51/665. Factor -i*s**2 - 12/23*s**4 + 6/23*s + 0 + 24/23*s**3 + 2/23*s**5.
2*s*(s - 3)*(s - 1)**3/23
Suppose 354294 + 3/2*n**5 + 262440*n - 168885/2*n**2 - 375/2*n**4 + 14445/2*n**3 = 0. Calculate n.
-1, 9, 54
Find k such that -1/3*k**2 + 110/3*k - 3025/3 = 0.
55
Suppose j + x = 4, -5*j = x - 28 - 0. What is m in 26*m - 14*m**3 + 10*m**4 - 12*m**5 + j*m**2 - 26*m + 10*m**5 = 0?
0, 1, 3
Let q(g) = g + 3. Let d be q(0). Let h be -2 + (-