t f be s(0). Find o such that -4020*o**3 + 244*o - 54*o**f + 4023*o**3 - o = 0.
0, 9
Suppose 479*f - 318*f = 322. Let s(p) be the first derivative of 1/12*p**4 - f*p - 5/6*p**2 - 19 + 2/9*p**3. Solve s(o) = 0.
-3, -1, 2
Suppose 3*m - 34 = -14*m. Factor -421*c**2 + 216*c**2 + 209*c**m + 48*c - 52.
4*(c - 1)*(c + 13)
Suppose 280*m + 4/9*m**5 + 2954/9*m**2 - 134/9*m**4 + 72 + 944/9*m**3 = 0. What is m?
-1, -1/2, 18
Suppose 63*h + 16*h + 3*h = 164. Factor -196/9*o**3 + 256/3*o - 112/9 - 140*o**h.
-4*(o + 7)*(7*o - 2)**2/9
Factor -415150 - 3800*x - x**2 + 125483 - 4*x**2 - 432333.
-5*(x + 380)**2
Suppose 2*w - 15 = -5*r, -4*w + 5*r - 25 = -40. Let g(a) be the first derivative of 2*a**3 + 13 - 3/2*a**4 + 3/10*a**w + 0*a + 0*a**2. Factor g(j).
3*j**2*(j - 2)**2/2
Let k be -51 - 1*(-9345)/175. Factor -k*r - 4/5*r**2 + 8.
-4*(r - 2)*(r + 5)/5
Let k(p) be the second derivative of 1/360*p**5 + 19/2*p**2 + 0*p**4 + 0 - 1/36*p**3 - 11*p. Let s(x) be the first derivative of k(x). Let s(z) = 0. What is z?
-1, 1
Suppose -6*s + 4*p = 54, s + 17*p = 10*p + 129. Find g such that -12/5 + 0*g**2 + 13/5*g - 1/5*g**s = 0.
-4, 1, 3
Suppose -28/3*l + 6 + 2/9*l**4 + 20/9*l**3 + 8/9*l**2 = 0. What is l?
-9, -3, 1
Let -6 + 12/5*j**2 + 21/5*j - 3/5*j**3 = 0. What is j?
-2, 1, 5
Let 1/6*z**5 - 6*z**4 - 35/6*z + 0 + 6*z**2 + 17/3*z**3 = 0. What is z?
-1, 0, 1, 35
Let o(l) be the first derivative of 15*l**2 - 5/4*l**4 + 3 + 0*l - 5/3*l**3. Suppose o(f) = 0. What is f?
-3, 0, 2
Factor 252/5*r**2 + 18/5*r**4 + 109/5*r**3 + 1/5*r**5 + 0 + 196/5*r.
r*(r + 2)**2*(r + 7)**2/5
Let d(w) be the second derivative of -1/108*w**4 - 1/6*w**3 - 10 - w - 4/9*w**2. Solve d(m) = 0 for m.
-8, -1
Let p = 606 + -604. Suppose 2*m = 3*m. Factor -6*k**p - 1 + 17 + 2*k**2 - 12*k + m*k.
-4*(k - 1)*(k + 4)
Suppose 0 = 2*r - 10. Suppose -3*j + 0*j = 5*t + 3, -5*j - r = -2*t. Factor -2*h**2 + 4*h + t*h + 3*h**2 - 5 + 8.
(h + 1)*(h + 3)
Suppose 5*l + 2*k = -225 + 254, 2*l + 2*k - 20 = 0. Factor 99/4*n**2 + 30*n + 12 + 15/2*n**l + 3/4*n**4.
3*(n + 1)**2*(n + 4)**2/4
Let l(u) be the second derivative of -1/18*u**4 - 2 + 1/3*u**3 + 9*u + 10/3*u**2. Factor l(s).
-2*(s - 5)*(s + 2)/3
Find p such that 96/11*p + 24/11*p**3 + 250/11*p**2 - 40/11 = 0.
-10, -2/3, 1/4
Let y be 11/3 - 4359/1453. Factor 4*t - 14/3*t**2 + y*t**3 + 0.
2*t*(t - 6)*(t - 1)/3
Let m(v) = 177*v**3 - 261*v**2 - 312*v - 159. Let j(n) = -31*n**3 + 46*n**2 + 55*n + 28. Let s(d) = -57*j(d) - 10*m(d). Factor s(r).
-3*(r + 1)**2*(r + 2)
Let s(b) be the second derivative of -b**7/105 + 11*b**6/25 - 172*b**5/25 + 604*b**4/15 - 112*b**3 + 784*b**2/5 + 522*b. Let s(y) = 0. What is y?
1, 2, 14
Solve 1598*v**2 - 16*v**4 + 1846*v**2 + 3440*v**2 + 5*v**5 + 25600 - 68*v**4 - 244*v**3 + 32640*v - v**5 = 0 for v.
-5, -1, 16
Let p(a) be the first derivative of -a**4/4 + 26*a**3 - 414*a**2 + 2376*a + 5801. Find b, given that p(b) = 0.
6, 66
Let w = 348455/18 - 116149/6. Factor w*z**5 + 0 + 16*z + 52/9*z**3 - 80/3*z**2 + 40/9*z**4.
4*z*(z - 1)**2*(z + 6)**2/9
Let k(a) be the first derivative of a**3/9 + a**2/6 - 80*a - 13127. Factor k(f).
(f - 15)*(f + 16)/3
Let p(u) be the third derivative of u**8/84 - 2*u**7/21 + 4*u**6/15 - 4*u**5/15 - 1649*u**2. Factor p(l).
4*l**2*(l - 2)**2*(l - 1)
Solve 2/5*a**4 + 6*a**3 + 96 - 24/5*a**2 - 328/5*a = 0 for a.
-15, -4, 2
Factor -33*v**3 + 42 - 87*v + 38*v**2 + 93*v**3 + 19*v**2 - 32*v**3 - 40*v**3.
-3*(v - 2)*(v - 1)*(4*v - 7)
Let a = 545364/5 + -4908266/45. Suppose -8/9 + 10/9*j**2 - a*j**4 - 8/9*j - 2/9*j**5 + 10/9*j**3 = 0. What is j?
-2, -1, 1, 2
Let m(v) = 40*v - 277. Let s be m(7). Solve -18*y**3 - 3*y**4 - 11 + 21 + s*y**5 - 9 - 1 = 0 for y.
-2, 0, 3
Let x(f) = f**2 - 22*f - 70. Let p be x(25). Let g(h) = -h**2 + 6*h + 5. Let j be g(6). Factor -p + j - 4*b - 10*b**3 + 12*b**3 - 2*b**2.
2*b*(b - 2)*(b + 1)
Let x = 356 - 281. Let p be (-120)/x*(-10)/8. Solve 0*c - 1/2*c**3 + 1/2*c**p + 0 = 0 for c.
0, 1
Let i(s) be the third derivative of 0*s**3 + 11/840*s**6 - 14*s**2 + 0*s + 1/1470*s**7 - 11/168*s**4 + 5 - 1/420*s**5. Factor i(d).
d*(d - 1)*(d + 1)*(d + 11)/7
Suppose 19*i - 5*j = 20*i - 15, -5*i + 2*j = 6. Suppose -57*u + 9*u = i. Let u + 6*c**3 + 0*c + 3/2*c**4 + 6*c**2 = 0. What is c?
-2, 0
Suppose -27 + 7 = -4*v. Suppose -v*q + 6*q = 5. Factor 8 + 14 + 20*n + q*n**2 - 3 - 4.
5*(n + 1)*(n + 3)
Let d(o) be the third derivative of -15*o**2 + 0 - 1/15*o**5 - 9248/3*o**3 - 68/3*o**4 + 0*o. Factor d(l).
-4*(l + 68)**2
Let v(z) be the first derivative of z**4/4 + 738*z**3 + 816966*z**2 + 401947272*z - 2868. Factor v(g).
(g + 738)**3
Let u be (2/6)/(4/60). Suppose 0 = -2*p - n + 6, -u*p + 3*n = -11 - 4. Factor 2*y - p*y + 3*y**4 - 3*y**3 + y - 6*y**2.
3*y**2*(y - 2)*(y + 1)
Let d(m) = 6*m**2 + 5*m + 2. Let p be d(-1). Let i be 160/(-48)*p/(-5). Let 1 + 5/4*a + 1/4*a**i = 0. Calculate a.
-4, -1
Find y, given that -33 - 1/7*y**3 - 311/7*y - 81/7*y**2 = 0.
-77, -3, -1
Suppose 2*h - 34 = 6. Find y such that 7*y + 126*y**2 + 2*y**4 - h*y**3 - 343 - y**4 + 35*y - 238*y = 0.
-1, 7
Let v be (-8)/84 - 551/(-399). Let b(r) be the second derivative of -v*r**2 - 1/28*r**4 + 16*r + 1/2*r**3 + 0. Determine z, given that b(z) = 0.
1, 6
Let 85/2*c - 1/2*c**3 + 57/4 + 111/4*c**2 = 0. What is c?
-1, -1/2, 57
Let o(u) be the third derivative of -u**7/280 - 19*u**6/240 - 7*u**5/16 - 9*u**4/16 + 2*u**2 - 1188. Factor o(r).
-r*(r + 3)*(r + 9)*(3*r + 2)/4
Suppose 2*r = -2*u - 4, -1 = -5*u - 26. Factor 421*i**r + 10*i**2 - 1 + 1 - 420*i**3 + 25*i.
i*(i + 5)**2
Suppose 3*l + 11 = 2*a, 4*l - 5*a = -88 + 85. Let b be -1 + (-20)/(-15) + l/21. Solve -15/2*w - 5/2*w**2 + b = 0 for w.
-3, 0
Let j be 8*((-1)/40 + ((-90)/125)/9*-5). Factor 0 + 50/3*c**j + 0*c + 2/3*c**5 + 8*c**2 + 28/3*c**4.
2*c**2*(c + 1)**2*(c + 12)/3
Let o = -235 - -344. Determine f so that -55*f - 27*f - 56*f**2 - 324 - 57*f**2 + 10*f + o*f**2 = 0.
-9
Let c(i) be the third derivative of -i**8/3024 - i**7/630 + 7*i**6/540 + i**5/45 - 5*i**4/27 - 1577*i**2. Solve c(t) = 0 for t.
-5, -2, 0, 2
Let c(d) be the third derivative of d**8/3360 - d**7/420 + d**6/180 - d**4/8 + d**3/3 - 9*d**2 - 3*d. Let a(t) be the second derivative of c(t). Solve a(r) = 0.
0, 1, 2
Let j = 8 - 6. Suppose -12 = -4*u - 2*b, -5*b = 15*u - 15*u. Find l such that -l**2 + u*l**j + l + 0*l - l**2 = 0.
-1, 0
Let k(b) = b**3 + 4*b + 2. Let p(z) = 3*z**3 + 285*z**2 + 7*z - 281. Let x(l) = 6*k(l) - 3*p(l). Factor x(o).
-3*(o - 1)*(o + 1)*(o + 285)
Let n = -39/187 - -126685/1309. Let g = n - 1345/14. Factor 0 + g*d**2 - 1/2*d.
d*(d - 1)/2
Let x = -10823/975 - -145/13. Let n(u) be the second derivative of -1/15*u**3 - x*u**6 + 7*u - 9/50*u**5 + 0*u**2 + 0 - 1/5*u**4. Suppose n(d) = 0. Calculate d.
-1, -1/4, 0
Suppose 3*c = 2*z + 18, -5*z + 359 - 379 = 5*c. Let m(d) be the first derivative of 0*d**3 + 0*d**c + 42 + 4/35*d**5 + 0*d + 1/42*d**6 + 3/28*d**4. Factor m(h).
h**3*(h + 1)*(h + 3)/7
Let h = 553988 - 553985. Find t, given that 72/13 - 18/13*t**h - 400/13*t + 346/13*t**2 = 0.
2/9, 1, 18
Suppose -57*m - 3*m = -109*m + 196. Let 3/2*t**m - 9/2 + 1/6*t**5 + 3*t**2 + 13/3*t**3 - 9/2*t = 0. What is t?
-3, -1, 1
Factor -107*i**2 + 27*i**2 - 5*i**4 - 38*i**3 + 6*i**4.
i**2*(i - 40)*(i + 2)
Factor -2292*g + 21780 - 53*g**3 - 5065*g + 592*g + 350*g**2 + 48*g**3.
-5*(g - 33)**2*(g - 4)
Let k(w) be the second derivative of -5/84*w**7 - 15/2*w**2 - 92*w - 35/12*w**3 + w**5 + 0 + 5/4*w**4 + 0*w**6. Find q, given that k(q) = 0.
-2, -1, 1, 3
Let f(x) be the third derivative of 7*x**5/45 - 22*x**4/9 + 8*x**3/3 - 78*x**2. Factor f(o).
4*(o - 6)*(7*o - 2)/3
Let z(v) be the second derivative of v**7/294 - 8*v**6/105 + 12*v**5/35 + 59*v**4/42 - 481*v**3/42 + 165*v**2/7 + 25*v - 54. Solve z(h) = 0.
-3, 1, 2, 5, 11
Let x(g) be the first derivative of 3*g**4/16 - 53*g**3/4 - 339*g**2/8 + 495*g/4 - 299. Determine b, given that x(b) = 0.
-3, 1, 55
Factor 2*d**4 - 4*d + 58*d**2 - 8582 + 20*d**3 - 8581 - 8660 + 20*d + 25727.
2*(d - 1)*(d + 3)*(d + 4)**2
Let p(s) be the first derivative of 2*s**5/5 + 3*s**4/8 - s**3/6 + 1859. What is a in p(a) = 0?
-1, 0, 1/4
Let c(b) be the third derivative of b**6/450 - 18*b**5/25 + 486*b**4/5 + 103*b**3/3 - 273*b**2. Let o(h) be the first derivative of c(h). Factor o(k).
4*(k - 54)**2/5
Let n be 516/215