33 - -123373/3. Let d = -387 + h. Let -6 + 1/3*y**4 - 7/3*y**3 + y + d*y**2 = 0. What is y?
-1, 2, 3
Let n = 327269/81523290 - 21/5410. Let u = n + 1145234/75345. Determine g so that -348/5*g**3 - u*g**2 + 8/5 + 28/5*g - 252/5*g**4 = 0.
-1, -1/3, 2/7
Let u(l) be the third derivative of l**6/180 + 367*l**5/90 + 11285*l**4/12 + 3721*l**3 + 46*l**2 + 29. Solve u(p) = 0 for p.
-183, -1
Let i = -1287092 + 16732202/13. Suppose -4/13*z**2 + 14/13*z - i = 0. What is z?
1/2, 3
Suppose -171 = -44*b - 62*b + 43 - 2. Determine d, given that d - 1/4*d**5 - 3/4*d**3 + 0 + 5/4*d**b - 5/4*d**4 = 0.
-4, -1, 0, 1
Let n(g) = 16*g**2 + 38*g - 6. Let o(k) = -34*k**2 - 75*k + 13. Let z(h) = 13*n(h) + 6*o(h). Factor z(y).
4*y*(y + 11)
Let c(u) = -1893*u - 90861. Let z be c(-48). Suppose 8/5 - 194/5*i**2 - 88/5*i**5 + 268/5*i**z + 6/5*i**4 + 0*i = 0. Calculate i.
-2, -2/11, 1/4, 1
Let g be (2/4)/(30/(-180)). Let p be (-2322)/3240 + g*10/(-24). Factor 2/3*j - p - 2/15*j**2.
-2*(j - 4)*(j - 1)/15
Let r(u) be the third derivative of 0*u**3 + 1/420*u**7 + 1/60*u**6 - 11/120*u**5 - 12*u**2 + 1/8*u**4 + 0 - 4*u. Factor r(i).
i*(i - 1)**2*(i + 6)/2
Let d = 17164 + -86268/5. Let g = d + 90. Find q such that g*q**5 + 0*q + 2/5*q**2 + 6/5*q**3 + 6/5*q**4 + 0 = 0.
-1, 0
Let p be (-6)/(-60)*3565/1426. Suppose 0*a + 2 = 2*a, 1 = d + a. Solve d + p*l**3 + l**2 + l = 0 for l.
-2, 0
Factor 1297920*d**2 - 632*d**4 - 24*d**3 + 6354838248 + 3004030232 + 4184*d**3 + 637*d**4 + 179978240*d.
5*(d + 208)**4
Let d = -5804 - -5804. Let y(f) be the third derivative of -11*f**2 + d*f - 1/9*f**3 - 1/30*f**5 - 1/180*f**6 - 1/12*f**4 + 0. Solve y(z) = 0.
-1
Let f(i) = -4*i**2 - 68*i + 54. Let n(m) = -3*m**2 - 67*m + 55. Let b(t) = 5*f(t) - 6*n(t). Solve b(k) = 0.
1, 30
Let d(w) be the third derivative of 0 - 9*w**2 + 0*w**3 - 1/210*w**7 + 1/4*w**4 + 11/60*w**5 + 1/30*w**6 + 0*w. Factor d(y).
-y*(y - 6)*(y + 1)**2
Let i(v) = 32*v - 222. Let o be i(7). Let 44*h**o + 11*h**4 - 25*h**4 - 8*h - 16*h**3 - 6*h**4 = 0. What is h?
-2, 0, 1/5, 1
Suppose -589*n + 372*n + 1302 = 0. Suppose 3/4*j**4 - 48*j - 3*j**5 - n*j**2 + 12 + 24*j**3 = 0. Calculate j.
-2, 1/4, 2
Let w = 5860111/11 + -532737. Let -2/11*g**5 + w*g**2 - 16/11 - 24/11*g + 0*g**4 + 14/11*g**3 = 0. Calculate g.
-2, -1, 2
Let z(o) be the second derivative of o**9/68040 + o**8/10080 + o**4/4 - 7*o**2/2 - 6*o. Let q(y) be the third derivative of z(y). Factor q(b).
2*b**3*(b + 3)/9
Let g = 508895 + -508893. Solve -3/4*r**3 + 0*r - 3/4*r**4 + 3/2*r**g + 0 = 0.
-2, 0, 1
Let l be (672/120)/7*(-10)/14*7/(-2). Find u such that 0 + 4/3*u**l + u + 1/3*u**3 = 0.
-3, -1, 0
Let n(b) = -32*b + 450. Let t be n(-30). Let c = t - 1408. Factor 52/9*h - 338/9 - 2/9*h**c.
-2*(h - 13)**2/9
Let z(f) = -12*f + 74. Let a be z(6). Factor -50 + 5*p**a + 50*p - 107*p + 102*p.
5*(p - 1)*(p + 10)
Let q(f) be the third derivative of 5/3*f**4 + 0*f**3 + 1/24*f**6 + 54*f**2 - 1/2*f**5 + 0 + 2*f. Factor q(d).
5*d*(d - 4)*(d - 2)
Let m(u) be the first derivative of u**9/1512 + u**8/210 - u**7/70 - u**6/45 + u**5/12 + 42*u**3 - 178. Let g(c) be the third derivative of m(c). Factor g(v).
2*v*(v - 1)**2*(v + 1)*(v + 5)
Let t = 883051 + -883046. Determine v, given that 162/5*v + 236/5*v**3 - 8*v**4 + 2/5*v**t + 0 - 72*v**2 = 0.
0, 1, 9
Let m(w) be the first derivative of -2*w**3/21 - 16*w**2/7 + 72*w/7 - 3075. Factor m(r).
-2*(r - 2)*(r + 18)/7
Suppose 19*b - 121*b - 242*b = -688. Factor -2/13*t**b + 10/13*t - 8/13.
-2*(t - 4)*(t - 1)/13
Suppose -2 = n + 2*h, 0 = -468*n + 471*n + 3*h. Solve -8/9 - 2/9*b**n + 8/9*b = 0 for b.
2
Solve 5*j - 7526*j**2 + 31*j + 3771*j**2 + 3571*j**2 + 20*j**3 = 0.
0, 1/5, 9
Let p(g) be the first derivative of g**4/12 - 2*g**3/3 + 2*g**2 - 8*g/3 - 7358. Find t such that p(t) = 0.
2
Factor -522 - 44 - 4 - 888 - 3*m**2 + 189*m.
-3*(m - 54)*(m - 9)
Let x(w) be the third derivative of w**6/40 - 13*w**5/4 + 103*w**4/2 - 174*w**3 - 8108*w**2. Find b, given that x(b) = 0.
1, 6, 58
Let f(i) = 3*i**2 - 93*i + 4. Let d be f(31). Solve 3*n**2 - 5*n**3 + 3*n**5 + 18*n + 2312*n**4 - 16*n**3 - 2315*n**d = 0 for n.
-2, -1, 0, 1, 3
Let x(g) be the second derivative of -g**7/1400 + g**6/200 - g**5/100 - 17*g**3/3 - 88*g. Let c(r) be the second derivative of x(r). Solve c(o) = 0.
0, 1, 2
Determine t, given that -6/7*t**3 - 80/7*t**2 - 14*t - 24/7 = 0.
-12, -1, -1/3
Let b be -5 + 3*1*57/(-81)*-3. Let s be ((-3)/(-2))/((-33)/(-22)). Suppose 1/3*y**2 - b*y - s + 2/3*y**3 = 0. Calculate y.
-1, 3/2
Let v(s) be the second derivative of -65/4*s**4 - 29/3*s**3 + 2 - 9*s - 2*s**2 + 45/8*s**5. Suppose v(w) = 0. What is w?
-2/15, 2
Let i(c) be the first derivative of -52/11*c - 2/33*c**3 - 71 + 15/11*c**2. Suppose i(m) = 0. What is m?
2, 13
Let i(f) = -3*f**2 + 26*f - 46. Let m be i(15). Let s = m - -4305/13. Factor 4/13 + s*c**2 + 6/13*c.
2*(c + 1)*(c + 2)/13
Suppose 34*p = 29*p - x, -4*p = -4*x - 24. Let o be 25 + -13 + (-8 - p). Determine b so that -4/5*b - 4/5*b**2 + 3/5*b**o + 0 + 2/5*b**4 - 1/5*b**5 = 0.
-1, 0, 2
Let f = -195 + 197. Factor 14*v**2 + 7*v**2 + 4*v**3 - v**3 - 7*v**f - v**3.
2*v**2*(v + 7)
Let f be (-39500)/13125*-7 - (1 - -19). Find d, given that f*d - 2/5*d**3 + 0 + 4/3*d**2 = 0.
-2/3, 0, 4
Let o(p) = 12*p**2 + 128*p + 384. Let i(j) = 34*j + 9*j + 109 + 4*j**2 + 20. Let b(q) = 16*i(q) - 5*o(q). Factor b(k).
4*(k + 6)**2
Let q(c) be the third derivative of 54*c**2 - 1/200*c**6 + 0*c**5 + 0 + 0*c + 0*c**3 + 1/40*c**4. Factor q(m).
-3*m*(m - 1)*(m + 1)/5
Let b = 19627 + -78503/4. Find a, given that 15/4*a**2 + 5*a - b*a**3 - 15 = 0.
-2, 2, 3
Suppose -b = 4*a, -13*a + 12 = 2*b - 17*a. Suppose 3*l**2 + 68*l - b*l**2 - 11*l**2 + 8*l**2 = 0. Calculate l.
0, 17
Factor -16 + 477*t**2 + 643*t**2 - 5*t**2 + 249*t**2 - 144*t**2 + 306*t**3 + 1208*t.
2*(t + 2)**2*(153*t - 2)
Let f be (-2)/30*1*66/(-22). Let j(i) be the third derivative of -2/75*i**5 - f*i**3 - 7*i**2 + 0 + 13/60*i**4 + 0*i. Determine u so that j(u) = 0.
1/4, 3
Let c(v) = v**2 - 287. Suppose f + 26 = t + 12, t + 3 = 0. Let j be c(f). Factor -5*y + 5 + 5/4*y**j.
5*(y - 2)**2/4
Let l = -543579 - -4892213/9. Solve -4/9*a - l*a**2 + 10/3 = 0.
-5, 3
Let a(z) be the second derivative of -z**7/2520 - z**6/60 - 9*z**5/40 - 53*z**4/6 + 79*z. Let v(h) be the third derivative of a(h). Let v(o) = 0. What is o?
-9, -3
Let q(x) be the first derivative of -x**6/30 - 18*x**5/25 + 9*x**4/4 + 94*x**3/15 - 12*x**2 + 5246. Determine u so that q(u) = 0.
-20, -2, 0, 1, 3
Let z be 4/2 + (26 + -11 + -12)*1. Let p(d) be the first derivative of 0*d**4 + 17 + 0*d**3 + 0*d + 2/85*d**z + 0*d**2 - 1/51*d**6. Factor p(h).
-2*h**4*(h - 1)/17
Let h be 6232/1330 - (-320)/(-140). Factor h + 4107/5*a**2 + 444/5*a.
3*(37*a + 2)**2/5
Let g(y) be the first derivative of 2*y**3/3 - 6*y**2 - 182*y + 3824. Find o such that g(o) = 0.
-7, 13
Let c(x) be the first derivative of -x**4/12 - 4*x**3 - 72*x**2 - 48*x + 32. Let g(a) be the first derivative of c(a). Factor g(m).
-(m + 12)**2
Suppose 142*q - 11*q = 57*q + 148. Solve -3/7*k**q - 1/7*k + 0 - 3/7*k**3 - 1/7*k**4 = 0 for k.
-1, 0
Let y = 5436 + -5434. Let h(z) be the first derivative of -12*z - 6 + 15/2*z**y - z**3. Suppose h(c) = 0. Calculate c.
1, 4
Let w(g) be the first derivative of g**6/9 - 134*g**5/15 - 71*g**4 - 1736*g**3/9 - 584*g**2/3 + 1928. What is f in w(f) = 0?
-2, 0, 73
Let i be ((-462)/132)/((-14)/8). Factor 6*m**3 + 0*m**2 + 244*m**4 - 241*m**4 - 6*m - 3*m**i.
3*m*(m - 1)*(m + 1)*(m + 2)
Let f(o) = -o - 40. Let a be f(-42). Suppose -l - 4*b = -7*b - 9, a*l - 4*b = 14. Factor -9/2*k - 15/2*k**2 - 7/2*k**l + 0 - 1/2*k**4.
-k*(k + 1)*(k + 3)**2/2
Solve -4*x**3 + 564 + 102*x**2 + 62*x**2 - 1130*x - 19*x**2 + 423*x**2 + 2*x**3 = 0.
1, 282
Suppose -8*b = -4*b. Suppose s - l = b, l - 6*l + 10 = 0. What is c in c**4 - 4*c**2 - 2*c**2 + 3*c**s - 2*c = 0?
-1, 0, 2
Let o(z) = 19*z - 37. Let q be o(-12). Let m = q - -270. Suppose 5/3*r**4 - r**m - 5/3*r**2 - 2/3*r + 5/3*r**3 + 0 = 0. Calculate r.
-1, -1/3, 0, 1, 2
Let o(v) be the first derivative of -v**4/18 + 2*v**3/9 + 8*v**2/3 - 147*v + 67. Let z(t) be the first derivative of o(t). Factor z(d).
-2*(d - 4)*(d + 2)/3
Let c(z) be the second derivative of -z**6/40 + 147*z**5/80 + 101*z**4/16 + 51*z**3/8 - 1786*z. Factor c(o).
-3*o*(o - 51)