 4*i**2 + 1/6*i**4 + 7/6 - d*i**3 - 11/3*i = 0.
1, 7
Let z(a) = -17*a**3 + 572*a**2 + 1695*a + 1176. Let q(u) = 16*u**3 - 571*u**2 - 1695*u - 1173. Let w(t) = -14*q(t) - 13*z(t). Factor w(b).
-3*(b - 189)*(b + 1)*(b + 2)
Let g(w) be the third derivative of -1/150*w**5 + 0*w - 7/3*w**3 + 92*w**2 - 3/5*w**4 + 0. Factor g(q).
-2*(q + 1)*(q + 35)/5
Let l(v) be the third derivative of v**8/224 - 29*v**7/420 + v**6/16 + 29*v**5/120 - 3*v**4/8 - 1691*v**2. What is a in l(a) = 0?
-1, 0, 2/3, 1, 9
Let v = 85 - 85. Suppose 4*j = -5*z + 3*j, -5*z + 3*j = v. Factor 10*q - 7 + z*q - q**3 + 1 - 3*q.
-(q - 2)*(q - 1)*(q + 3)
Let u(a) = -a**5 - a**2 - 1. Let r(j) = -35*j**3 + 8*j**2 - 7*j**5 - 4 + 17*j**3 + 12*j**4 - 127*j + 124*j. Let x(q) = -r(q) + 4*u(q). Factor x(l).
3*l*(l - 1)**4
Suppose 0 = -47*f + 200 + 2056. Let d = -333/7 + f. What is z in -d*z**4 + 3/7*z**2 + 2/7*z - 1/7*z**3 - 1/7*z**5 + 0 = 0?
-2, -1, 0, 1
Let z(w) be the first derivative of -49*w**5/5 - 14721*w**4/4 + 2808*w**3 - 602*w**2 - 1571. Factor z(o).
-o*(o + 301)*(7*o - 2)**2
Let a = -6428 + 11281. Determine q, given that a + 138*q - 618*q + 3*q**2 + 739 + 7398 + 6210 = 0.
80
Let u(h) = 6*h**4 + 462*h**3 + 886*h**2 - 606*h - 908. Let i(g) = -4*g**4 - 308*g**3 - 591*g**2 + 398*g + 605. Let m(c) = 8*i(c) + 5*u(c). Solve m(j) = 0.
-75, -2, -1, 1
Let v(m) be the second derivative of -10*m**7/21 - 4*m**6/15 + 36*m**5/5 - 22*m**4/3 - 62*m**3/3 + 48*m**2 + 2055*m. Find g such that v(g) = 0.
-3, -1, 1, 8/5
Suppose -n + 5*n - 59 = 5*y, 0 = -2*n + 5*y + 27. Suppose -15*l = -17*l + 4*s + 12, 4*s + n = 4*l. Factor -2/5 + 3/10*z + 1/10*z**l.
(z - 1)*(z + 4)/10
Let s(x) = 204*x**3 - 3*x**2 + 11*x - 10. Let q be s(2). Let o = q + -11412/7. Find u, given that 2/7*u**4 + 0 + o*u**2 - 2*u**3 + 0*u = 0.
0, 1, 6
Suppose -155180*l + 155039*l + 282 = 0. Factor -7/3*w**3 - 25/6*w**l + 0 - 2*w - 1/6*w**4.
-w*(w + 1)**2*(w + 12)/6
Let i(p) be the third derivative of p**7/56 + 23*p**6/24 + 49*p**5/16 + 145*p**4/48 - 649*p**2. Find v, given that i(v) = 0.
-29, -1, -2/3, 0
Let a(r) = -28*r**3 - 64*r**2 - 188*r - 84. Let j(h) = 13*h**3 + 31*h**2 + 94*h + 48. Let o(d) = -6*a(d) - 13*j(d). Find k such that o(k) = 0.
-12, -5, -2
Let j(l) be the first derivative of 4*l**5 - 288*l**4 - 464*l**3/3 + 566. Determine b so that j(b) = 0.
-2/5, 0, 58
Let h(g) be the second derivative of -g**6/30 + 111*g**5/10 - 4323*g**4/4 + 11988*g**3 - 52488*g**2 + g + 3053. Solve h(a) = 0 for a.
3, 108
Solve -1212610 + 426*u**2 + 317*u**2 - 1360922 - 8662372 - 747*u**2 - 13408*u = 0 for u.
-1676
Let p(f) = 10*f**2 - 33*f - 83. Let d be p(5). Factor -1/2*r**d - 81/2 + 9*r.
-(r - 9)**2/2
Let t = 142 - 125. Suppose 0 = -t*f - 7*f. Determine u so that f + 2*u**2 + 2/3*u**3 + 0*u = 0.
-3, 0
Factor -137/2*d + 15 - 32*d**2 - 5/2*d**3.
-(d + 3)*(d + 10)*(5*d - 1)/2
Suppose -5*o = 4*v - 7 - 7, 5*o - 5 = 5*v. Factor k - o*k**3 - k + 395*k**2 - 397*k**2.
-2*k**2*(k + 1)
Let h(n) = -12*n - 72. Let a(k) = -5*k - 37. Let w(q) = -5*a(q) + 2*h(q). Let b be w(-39). Factor 12/5 - 6/5*d - 6/5*d**b.
-6*(d - 1)*(d + 2)/5
Factor 604/13*i + 2/13*i**2 + 602/13.
2*(i + 1)*(i + 301)/13
Let x(b) be the second derivative of b**4/48 + 17*b**3/3 + 67*b**2/2 + 2*b - 26. Factor x(v).
(v + 2)*(v + 134)/4
Let v(t) = 45*t + 3*t**2 + 40*t - 14*t**2 + 46*t - 135*t. Let h(s) = 14*s**2 + 5*s. Let c(b) = -4*h(b) - 5*v(b). Suppose c(r) = 0. What is r?
0
Find q, given that -2064/7*q + 3/7*q**2 + 355008/7 = 0.
344
Let c = 133/24 - 39/8. Let z = -13969/117 - -1555/13. Solve c*l - z*l**2 + 20/9 = 0.
-2, 5
Let a(u) be the third derivative of -u**7/1365 - u**6/780 + u**5/195 + 153*u**2. What is s in a(s) = 0?
-2, 0, 1
Let c = -124957 + 124959. Solve 0*w**c - 2/11*w + 2/11*w**3 + 0 = 0 for w.
-1, 0, 1
Let l(k) = 27*k**2 + 34646*k - 60031141. Let p(a) = -235*a**2 - 311815*a + 540280265. Let c(g) = -35*l(g) - 4*p(g). Factor c(y).
-5*(y - 3465)**2
Let o(d) be the third derivative of d**8/1008 - d**7/63 + 17*d**6/360 - 2*d**5/45 + 2*d**2 + 906*d. Let o(z) = 0. Calculate z.
0, 1, 8
Let z(v) be the third derivative of 7*v**6/8 - 331*v**5/12 + 790*v**4/3 + 800*v**3/3 + 5*v**2 - 2*v + 231. Let z(n) = 0. What is n?
-5/21, 8
Let k = 3/281878 - -281869/845634. Let 0 - 7*p + k*p**4 + 3*p**3 + 11/3*p**2 = 0. Calculate p.
-7, -3, 0, 1
Let f(g) be the third derivative of 0*g + 1/84*g**8 + 0*g**4 + 2/105*g**7 + 0*g**6 + 0 + 22*g**2 + 0*g**3 + 0*g**5. What is q in f(q) = 0?
-1, 0
Suppose 5*h - 7*b - 19 = -6*b, -13 = -5*h + 7*b. Let x be 26 + -21 + (1 - h). Factor 52/9*l**x - 8/3*l**3 + 16/9 + 4/9*l**4 - 16/3*l.
4*(l - 2)**2*(l - 1)**2/9
Let l = 298 + -296. Determine n, given that -3*n**4 + 5*n**4 - n**l + n**3 + 1256*n - 1256*n = 0.
-1, 0, 1/2
Let i(z) be the second derivative of -1/110*z**5 + 6/11*z**2 - 9*z + 1/11*z**4 - 1 - 1/3*z**3. Find l such that i(l) = 0.
1, 2, 3
Let q(s) = -3*s**3 + 197*s**2 + 220*s - 418. Let j(w) = -17*w**3 + 1178*w**2 + 1320*w - 2507. Let o(u) = -2*j(u) + 13*q(u). Solve o(r) = 0 for r.
-2, 1, 42
Find s such that 1365*s - 833*s**2 - 13*s**3 + 1243*s - 315*s**2 - 304*s + 11*s**3 = 0.
-576, 0, 2
Let q(k) = 70*k**3 + 160*k**2 - 245*k - 285. Let y(i) = 17*i**3 + 40*i**2 - 61*i - 72. Let j(v) = -6*q(v) + 25*y(v). Factor j(r).
5*(r - 2)*(r + 1)*(r + 9)
Let a be ((-18)/(-4))/(1/(-16)). Let s be ((-24)/a)/(2/12). Factor 430*v - 120*v**s + 625*v + 4*v**3 + 145*v - 4000.
4*(v - 10)**3
Let c(x) = 7*x - 58. Let b be c(9). Let o(m) = 11*m**3 + 33*m**2 + 28*m + 6. Let w(p) = 16*p**3 + 49*p**2 + 42*p + 9. Let d(u) = b*w(u) - 8*o(u). Factor d(i).
-(i + 1)**2*(8*i + 3)
Let y(x) be the first derivative of 3*x**4/4 - 107*x**3 + 471*x**2 - 624*x + 639. Factor y(q).
3*(q - 104)*(q - 2)*(q - 1)
Let x(s) be the third derivative of -32/165*s**5 - 4*s**2 + 0 + 4/33*s**4 + 21*s - 1/33*s**3. Suppose x(k) = 0. What is k?
1/8
Let u(s) be the first derivative of 0*s**2 + 169/5*s**5 - 13/2*s**4 + 4/9*s**3 + 0*s - 2197/36*s**6 - 122. Find r, given that u(r) = 0.
0, 2/13
Let w(i) be the second derivative of 5*i**4/48 + 3575*i**3/4 + 23005125*i**2/8 + 6861*i. Factor w(z).
5*(z + 2145)**2/4
Let j be 2775/198 - (148 + -134). Let a(n) be the second derivative of 0 - 9/11*n**2 + 0*n**3 - 45*n + j*n**4. Suppose a(r) = 0. What is r?
-3, 3
Let v(b) be the second derivative of 3*b**5/40 - 13*b**4 + 205*b**3/4 - 153*b**2/2 - 273*b + 1. Factor v(j).
3*(j - 102)*(j - 1)**2/2
Suppose 0 = -5*x + 3*y + 54, 4*y + 62 = 4*x + 14. Find o such that -x*o**5 - o**4 + 5*o**5 + 6*o**5 - 8*o**2 + 16*o**3 - 9*o**4 = 0.
0, 1, 2
Let u(y) be the second derivative of 7*y**6/90 + 17*y**5/10 + 7*y**4/3 + y**3/2 + 21*y**2/2 - 4*y - 2. Let s(h) be the second derivative of u(h). Factor s(g).
4*(g + 7)*(7*g + 2)
Let y(p) be the first derivative of -10*p**3/21 - 1703*p**2/7 + 1364*p/7 + 365. Let y(q) = 0. Calculate q.
-341, 2/5
Factor 24/7*i - 72/7 - 2/7*i**2.
-2*(i - 6)**2/7
Let o(j) be the third derivative of 1/12*j**5 + 0 + 0*j - 24*j**2 - 5/8*j**4 + 5/3*j**3. Suppose o(l) = 0. Calculate l.
1, 2
Suppose -83*l + 286 - 143 - 143 = 0. Factor 32/15*y - 2/15*y**2 + l.
-2*y*(y - 16)/15
Let l = -599 + 610. Let g be l/((-440)/(-184)) - 20/5. Solve 72/5*x**2 + 27/5*x**3 + 0 + 48/5*x + g*x**4 = 0 for x.
-4, -1, 0
Let g(r) be the third derivative of -r**8/336 - 4*r**7/105 - 19*r**6/120 - r**5/5 + 4998*r**2. Find h such that g(h) = 0.
-4, -3, -1, 0
Let z(r) be the first derivative of 3*r**4/4 + 929*r**3 + 324336*r**2 + 645888*r - 862. Let z(x) = 0. What is x?
-464, -1
Suppose 4*g - 5*s = -29, 5*g - 2*s = -23 + 8. Let x be (-4)/(g - 11/33). Factor -1/2*y**x + 1/2*y**2 + 4*y - 6.
-(y - 2)**2*(y + 3)/2
Let k(v) be the second derivative of 0 + 9/5*v**2 - 19/30*v**3 + 10*v + 1/60*v**4. What is c in k(c) = 0?
1, 18
Let a(l) be the third derivative of -l**8/1512 - l**7/189 - l**6/180 + l**5/54 + l**4/27 - 11*l**2 - 52. Find j such that a(j) = 0.
-4, -1, 0, 1
Let o be (-386)/(-14) - 39/(-91). Solve -64*p - 192 + p**2 - 52*p + 3*p**2 + o*p = 0 for p.
-2, 24
Find h such that 142/7*h**3 + 412/7*h**2 + 272/7*h + 2/7*h**4 + 0 = 0.
-68, -2, -1, 0
Let -3*r**3 + 1169*r**2 + 144*r - 1301*r**2 - 3*r**5 + 15*r**4 + 15*r**3 = 0. What is r?
-3, 0, 2, 4
Let q = -894 - -897. Let h be 7/q*(-54)/(-63). Suppose -50/9 - 20/9*y - 2/9*y**h = 0. Calculate y.
-5
Suppose 1281*m =