 + 17*a**2 + 220*a - 498. Let f(i) = 3*l(i) + 40*u(i). What is k in f(k) = 0?
-6, 2, 8
Let c be 3/(-5 + 4/1). Let x be (-1 - 11)*(c - (-16)/6). Factor -4*h**2 - x*h**4 + 6*h**3 - 3*h**3 - 4*h**3 + 9*h**3.
-4*h**2*(h - 1)**2
Let w(o) be the first derivative of o**5/5 + 2*o**4 - 19*o**3/3 + 5*o**2 + 1217. Factor w(q).
q*(q - 1)**2*(q + 10)
Let b(k) be the second derivative of -k**5/160 - 95*k**4/16 - 9025*k**3/4 - 857375*k**2/2 - 846*k. Let b(y) = 0. What is y?
-190
Suppose -17 + 2 = -5*z. Let f be (-1)/((36/(-126))/((-4)/(-7))). Let -z*y - 2*y**f - 1/3*y**3 + 0 = 0. Calculate y.
-3, 0
Let q(h) be the first derivative of -h**7/630 + h**5/90 - h**3/18 - 10*h**2 - 17. Let z(l) be the second derivative of q(l). Suppose z(d) = 0. What is d?
-1, 1
Let f be 9/(-6) + -3 + 20/8. Let j be (f/(-20))/(-6*4/(-432)). Factor -27/5 + 3*a**2 + j*a + 3/5*a**3.
3*(a - 1)*(a + 3)**2/5
Let p = -124408 - -124411. Factor 40/3 - 16*i + 6*i**2 - 2/3*i**p.
-2*(i - 5)*(i - 2)**2/3
Let k = 30 + -34. Let o be k/(-8)*1*-2. Let c(r) = -r**2 - r - 1. Let a(i) = -8*i**2 - 13*i - 8. Let z(h) = o*a(h) + 3*c(h). Factor z(b).
5*(b + 1)**2
Let a be (-8)/(-6) + (-336)/63. Let j(n) = 13*n**3 + 74*n**2 + 44*n - 113. Let l(g) = -3*g**3 - 18*g**2 - 11*g + 28. Let i(k) = a*j(k) - 18*l(k). Factor i(w).
2*(w - 1)*(w + 2)*(w + 13)
Let q(t) = 11*t**4 + 99*t**3 + 284*t**2 + 150*t - 60. Let x(v) = v**4 + v**3 + v - 6. Let h(z) = q(z) - 2*x(z). Determine p so that h(p) = 0.
-6, -4, -1, 2/9
Suppose 0 = t - 73 + 73. Let b be -2 + t + 62/10 + -3. Find p, given that p - b + 4/5*p**2 = 0.
-2, 3/4
Let j(y) be the first derivative of 2*y**5/85 - 107*y**4/34 - 72*y**3/17 - 234. Factor j(t).
2*t**2*(t - 108)*(t + 1)/17
Let x be (-210)/245 + (-146)/(-7). Factor -5*a**2 + 10*a + a**2 + 6*a - x + 8*a**2.
4*(a - 1)*(a + 5)
Suppose 0 = -5*g - f + 1238, 2*f + 149 + 339 = 2*g. Suppose 0*o - 3*o**2 - 2*o + g*o**3 - 246*o**3 + 2*o**2 = 0. Calculate o.
-1, 0, 2
Determine t so that -5/3*t**2 - 770*t + 4680 = 0.
-468, 6
Let f(d) be the third derivative of 0*d - 1/36*d**6 - 1/12*d**4 - 34*d**2 + 1/315*d**7 + 0*d**3 + 1 + 7/90*d**5. Factor f(v).
2*v*(v - 3)*(v - 1)**2/3
Let t = -315 + 964. Let q = 651 - t. Let -6/11*w**3 - 2/11*w**4 + 0*w + 0 - 4/11*w**q = 0. Calculate w.
-2, -1, 0
Let z(a) = 16*a**2 - a. Let y(i) = 81*i**2 - 18*i - 198. Let t(r) = 4*y(r) - 20*z(r). Factor t(v).
4*(v - 22)*(v + 9)
Suppose 4*b = -5*u - 2 + 40, 0 = -u - 5*b + 16. Let x(c) = -8*c**3 - 4*c - 6. Let s(l) = 2*l**3 + 1. Let f(a) = u*s(a) + x(a). What is i in f(i) = 0?
-1, 0, 1
Solve 1/3*h**3 + 0 - 30*h - 13/3*h**2 = 0 for h.
-5, 0, 18
Suppose -228*x - 33 = -225*x + 3*a, -3*x - 44 = 4*a. Solve x + 4/3*u + 1/3*u**4 + 2*u**3 + 3*u**2 = 0 for u.
-4, -1, 0
What is o in 297*o**3 + 282 - 97*o - 127*o - 15*o**4 + 20*o - 92*o - 267*o**2 - o = 0?
-1, 1, 94/5
Let k(t) = -1 + 14*t - 7 - t**2 + 6 - 1. Let r be k(12). Factor 42 - 45 - r*m**2 + 3*m + 2*m**3 + 14*m + 4*m**4 + m**3.
(m - 1)**2*(m + 3)*(4*m - 1)
Let p(u) be the third derivative of -u**5/12 + 5*u**4/6 - 5*u**3/2 + 219*u**2 - 9*u. Factor p(o).
-5*(o - 3)*(o - 1)
Let t(z) = z**3 + 4*z**2 - 5. Let q be t(-2). Factor q*k**3 - 4*k**3 + k**2 - 15*k - k**4 + 16*k.
-k*(k - 1)*(k + 1)**2
Let b(s) be the third derivative of 8*s**7/105 + 29*s**6/30 - 157*s**5/15 + 91*s**4/6 + 22*s**3 - 8264*s**2. Solve b(m) = 0.
-11, -1/4, 1, 3
Factor -8/5 - 32*r + 82/5*r**2.
2*(r - 2)*(41*r + 2)/5
Let j(s) be the third derivative of -13*s**5/24 - 23*s**4/16 - s**3/3 - 3*s**2 + 793. Solve j(t) = 0.
-1, -4/65
Let h(n) be the second derivative of -n**4/4 + 73*n**3/2 + 1386*n**2 - 7276*n. Suppose h(u) = 0. Calculate u.
-11, 84
Let b(y) = y - 1. Let n be b(7). Suppose -n = -14*u + 13*u. Factor -2*j**4 - 2*j**3 + j**2 + u*j**4 - j**2 - 2*j**5.
-2*j**3*(j - 1)**2
Let m(a) be the second derivative of -a**5/10 - 49*a**4/2 - 1825*a**3 - 5329*a**2 - a + 249. What is r in m(r) = 0?
-73, -1
Let b be -18*(-3)/12*2*-7*(-5610)/1870. Factor 27/2*v**3 - 3/4*v**4 - 147 - 327/4*v**2 + b*v.
-3*(v - 7)**2*(v - 2)**2/4
Let v(j) be the second derivative of j**7/42 - 39*j**6/2 + 17631*j**5/4 - 254025*j**4/4 + 375840*j**3 - 1119744*j**2 + 7061*j. Suppose v(o) = 0. Calculate o.
3, 288
Factor 101*m**2 + 52 + 38*m - 54*m**2 + 37*m - 44*m**2 + 86.
3*(m + 2)*(m + 23)
Suppose -o = -0*o - 11*o. Let i be 7/28 - (-39)/260. Factor o - i*v**3 - 4/5*v + 6/5*v**2.
-2*v*(v - 2)*(v - 1)/5
Factor 72/7 - 3/7*r**2 - 15/7*r.
-3*(r - 3)*(r + 8)/7
Let j(w) = -4*w**2 - 27*w + 10. Suppose d = -4, -d = 5*n - 1 + 40. Let f be j(n). Determine q, given that 0 - 4/5*q - q**2 - 1/5*q**f = 0.
-4, -1, 0
Let w = -1253 + 1255. Let z(g) be the third derivative of 6*g**w + 0*g + 0*g**5 + 0 - 1/780*g**6 + 0*g**4 + 0*g**3. Let z(y) = 0. What is y?
0
Determine y so that 10863616*y - 35806478336/3 + 1/3*y**3 - 3296*y**2 = 0.
3296
Let u(p) be the first derivative of 5 + 0*p - 1/15*p**5 - 7/2*p**2 + 1/3*p**4 + 0*p**3. Let t(r) be the second derivative of u(r). Let t(g) = 0. Calculate g.
0, 2
Find t such that -274/5*t**3 - 2/5*t**5 + 382/5*t**2 - 432/5 + 10*t**4 + 276/5*t = 0.
-1, 1, 3, 4, 18
Suppose 55*v - 117 + 7 = 0. Let n(y) be the second derivative of 0 - 1/255*y**6 - 1/51*y**3 + 0*y**v + 20*y + 1/102*y**4 + 1/170*y**5. Factor n(q).
-2*q*(q - 1)**2*(q + 1)/17
Let y(o) = -7*o**4 - 789*o**3 - 3*o. Let n(u) = 13*u**4 + 1579*u**3 + 5*u. Let c(q) = -3*n(q) - 5*y(q). Suppose c(l) = 0. What is l?
-198, 0
Let d(g) be the third derivative of -g**7/42 + g**6/8 + 17*g**5/6 - 45*g**4/2 + 60*g**3 - 3243*g**2. Suppose d(k) = 0. What is k?
-6, 1, 2, 6
Factor 58*b - 25273*b**2 + 442 + 25274*b**2 - 15*b.
(b + 17)*(b + 26)
Let a be (-12138)/(-9) + (-96)/(-72). Let z = a + -1346. Solve -124/3*t**3 + 12*t**5 + 64/3*t**z + 32/3 - 80/3*t - 88*t**2 = 0 for t.
-2, -1, 2/9, 2
Suppose 865*d - 789*d = 0. Factor d + 0*m + 2/15*m**3 + 14/15*m**2.
2*m**2*(m + 7)/15
Let q(b) = 5*b**5 + 7*b**4 - 4*b**3 + 2*b**2 + 2. Let u(g) = 17*g**5 + 24*g**4 - 11*g**3 + 7*g**2 + 7. Let t(c) = 21*q(c) - 6*u(c). Solve t(m) = 0 for m.
-3, 0, 2
Let w(y) be the third derivative of y**8/5040 - y**7/140 + 3*y**6/40 + 43*y**3/3 + 31*y**2 + 2*y. Let f(k) be the first derivative of w(k). Factor f(j).
j**2*(j - 9)**2/3
Let p be 3*1 + (174/(-58))/1. Solve -4/11*b + 4/11*b**3 - 2/11*b**2 + 2/11*b**4 + p = 0 for b.
-2, -1, 0, 1
Let r = -2/1503253 + 42091090/4509759. Solve 4*y + 1/3*y**2 - r = 0.
-14, 2
Determine k, given that -47 + 247 - 332*k - 8*k**3 + 116*k**2 + 121 - 57 = 0.
3/2, 2, 11
Find o such that 6/5*o**4 - 388/5*o**3 - 248/5 + 998/5*o**2 - 368/5*o = 0.
-1/3, 1, 2, 62
Let q(p) = 8*p**2 - 9*p + 10. Let j be q(2). Determine n so that j*n**3 - 31*n**3 + 6*n**3 + 6*n**2 - 9*n = 0.
0, 3
Suppose 13*z = -5*c + 386, z + 82 = 3*z + 4*c. Let n(g) be the third derivative of -1/30*g**5 + 0 - z*g**2 - 1/3*g**3 + 0*g - 1/6*g**4. Factor n(f).
-2*(f + 1)**2
Let p(r) = -98*r - 80. Let d be p(-5). Let b = d + -408. Factor 3/7*a - 3/7*a**3 - 6/7*a**b + 6/7.
-3*(a - 1)*(a + 1)*(a + 2)/7
Let r = 34125698/19 - 1796084. Let -r - 2/19*f**2 + 104/19*f = 0. What is f?
1, 51
Determine v, given that 1488*v**2 - 1429968/7 + 1/7*v**4 - 169136/7*v - 180/7*v**3 = 0.
-6, 62
Let q(c) = -c**2 - 37*c - 195. Let o be q(-30). Suppose -o + 100 = 17*z. Suppose -5/7*y**3 + 4/7*y**4 + 0 + 0*y + 2/7*y**2 - 1/7*y**z = 0. Calculate y.
0, 1, 2
Let b(z) = -4*z - 1. Let r = -79 + 78. Let u be b(r). Factor 8 + 12*m - 2 - 9 - 12*m**u + 3*m**2.
-3*(m - 1)*(m + 1)*(4*m - 1)
Let v = -44 - -46. Suppose 0 = v*t + i - 21, 36 = 2*t - 0*t - 4*i. Factor 10*l + 0 + t + 4*l**2 - 26*l.
4*(l - 3)*(l - 1)
Determine m, given that 204*m**4 - 1444*m**3 - 225*m**5 + 203*m**4 - 59*m**4 + 229*m**5 + 1092*m**2 = 0.
-91, 0, 1, 3
Suppose -5*m + 26 = h, -21*m + 19 = -18*m + 4*h. Determine r so that 6*r**3 + 7*r**2 + 6*r**4 - 5*r**2 - 18*r**m + 20*r**5 = 0.
-1, 0
Suppose -42/5*h**2 - 46/5*h**3 + 46/5*h - 2/5*h**4 + 44/5 = 0. Calculate h.
-22, -1, 1
Solve 3/5*p**2 + 159135 + 618*p = 0 for p.
-515
Let d = -45 + 12. Let b = 35 + d. Factor -72 + 10*t - 17*t + 19*t - 4*t**3 + 16*t**b.
-4*(t - 3)**2*(t + 2)
Suppose -2*q - 2*a + 54 = 12, 0 = q + 5*a - 41. Let p be -4 - q/(-18)*39. Let 40/3 - 20/3*k**2 + p*k = 0. What is k?
-2/5, 5
Let k(t) be the first derivative of -3*t**5/10 - 5*t**4/8 + 32*t**3/3 + 41*