late n.
-7, 1, 2
Let x(p) = -p**2 - p + 2. Let j(w) = 732*w**2 + 1476*w + 24. Let d(f) = j(f) - 14*x(f). Factor d(h).
2*(h + 2)*(373*h - 1)
Let o be (2 + 14/10)/(1658/4974). Determine l so that -3/5*l**3 - 189/5*l - 243/5 + o*l**2 = 0.
-1, 9
Let g = -96 + 47. Let a = 128 + g. Factor 7*k + 15*k**2 + a*k**3 + 1 + 88*k**3 - 158*k**3.
(k + 1)*(3*k + 1)**2
Let j(c) be the third derivative of c**7/735 - c**6/420 - 9*c**5/14 - 263*c**4/84 - 130*c**3/21 + 2666*c**2 - 2*c + 2. Suppose j(z) = 0. What is z?
-10, -1, 13
Suppose 0 = d + 3*m + 3, 4*d = 9*d - 4*m + 110. Let y be d/(-90) + 2/6. Factor -y + 2/3*w - 2/15*w**2.
-2*(w - 4)*(w - 1)/15
Let w be 1217 - -48 - (9 + 1). Let b = w + -8783/7. Let -12/7 + 20/7*r**2 + b*r + 6/7*r**3 = 0. Calculate r.
-3, -1, 2/3
Let v(i) = -9 - 9*i**2 + 467*i - 232*i - 253*i. Let w(s) = 3*s + 26. Let m be w(-8). Let h(k) = -3*k**2 - 6*k - 3. Let a(d) = m*v(d) - 7*h(d). Factor a(b).
3*(b + 1)**2
Suppose -5*u = -126 - 174. Let a = -58 + u. Factor 0*i**a + 0 - 1/4*i**3 + 0*i.
-i**3/4
Let d(p) be the second derivative of p**4/48 + 27*p**3 + 13122*p**2 - 1015*p. Factor d(z).
(z + 324)**2/4
Let s(z) be the second derivative of -1/30*z**5 + 2/3*z**3 + 0 + 11*z + 19/2*z**2 + 1/12*z**4. Let o(x) be the first derivative of s(x). Factor o(r).
-2*(r - 2)*(r + 1)
Let m be 10/25*-5 + 4*(-23)/(-30). Let o(i) be the first derivative of m*i**3 + 0*i + 1/5*i**4 + 22 + 0*i**2. Factor o(k).
4*k**2*(k + 4)/5
Let a = 57 - 68. Let l be ((-4730)/25)/a - (-8)/60. Factor 20*b**2 + l*b + 16/3 + 4/3*b**4 + 28/3*b**3.
4*(b + 1)**3*(b + 4)/3
Suppose 427*a = 429*a - j + 5, -23 = -4*a - j. Factor -216/5*d**2 + 432/5*d - 2/5*d**5 - 34/5*d**4 + 0 - 36*d**a.
-2*d*(d - 1)*(d + 6)**3/5
Let j = 170 - 116. Let -32 - 4*u**2 + j*u - 78*u + 0*u**2 = 0. What is u?
-4, -2
Solve 4626*x - 1164*x**2 - 4626*x - 657*x**2 - 1824*x**3 - 3*x**4 = 0 for x.
-607, -1, 0
Let s(y) = -y**3 + y**2 - y + 34. Let j be s(0). Suppose 5*c + 9 = j. Solve 6*a + 0*a**4 - 4*a**2 - 8*a**3 + 4*a**4 - 172*a**c + 174*a**5 = 0.
-3, -1, 0, 1
Let o(b) be the third derivative of b**6/180 + 8*b**5/45 + 77*b**4/36 + 98*b**3/9 + 1502*b**2. Factor o(c).
2*(c + 2)*(c + 7)**2/3
Let r(u) be the first derivative of 12 - 2/15*u**3 + 0*u + 0*u**4 + 0*u**2 + 2/25*u**5. Factor r(g).
2*g**2*(g - 1)*(g + 1)/5
Let s = 70 - 65. Find g, given that 0*g**s - 6*g**4 + 16*g**3 - 21*g**3 - 6*g**2 + g**5 + 8*g**4 = 0.
-3, -1, 0, 2
Let p(y) be the second derivative of -y**7/105 + 11*y**6/75 - 21*y**5/25 + 7*y**4/3 - 53*y**3/15 + 3*y**2 + 81*y + 5. Suppose p(t) = 0. What is t?
1, 3, 5
Find a such that -142*a**4 + 203*a**2 - 1519*a**2 - 138142*a**3 - 294 + 138868*a**3 + 1027*a - a**5 = 0.
-147, 1, 2
Let n = -316 + 315. Let b(a) = -3*a**4 - 2*a**3 + a**2 - 8*a - 3. Let i(z) = z**4 + 2*z**3 + z**2 - 1. Let r(t) = n*b(t) - 5*i(t). Factor r(u).
-2*(u - 1)*(u + 1)*(u + 2)**2
Let w(k) be the second derivative of -3*k**5/26 + 8*k**4/39 - 4*k - 267. Factor w(q).
-2*q**2*(15*q - 16)/13
Let k(m) be the second derivative of m**6/480 + m**5/32 + m**4/8 + 5*m**3/6 - m**2 + 11*m - 1. Let n(x) be the second derivative of k(x). Factor n(c).
3*(c + 1)*(c + 4)/4
Let k = -5136149/140 + 36692. Let q = k + -93/20. Factor 24/7*c + 20/7 + q*c**2.
4*(c + 1)*(c + 5)/7
Let m = -27500 - -82502/3. Let 0 + m*y**2 + 2*y = 0. What is y?
-3, 0
Suppose 929*i**2 + 1920*i + 326 + 936*i**2 - 1856*i**2 + 313 = 0. What is i?
-213, -1/3
Let o(a) = -2*a**2 + 5*a - 1. Let d(v) = 42*v**2 - 30*v + 8. Let u(t) = -d(t) - 10*o(t). Find i, given that u(i) = 0.
-1, 1/11
Find l such that 228*l - 212*l**2 + 1115 + 97*l**2 + 116*l**2 = 0.
-223, -5
Let n(b) = -b**2 + 3*b - 2. Let f(a) = 2*a**2 - 5*a + 3. Suppose -6*h - 24 = -2*h. Let q = -54 - -44. Let l(c) = h*f(c) + q*n(c). Let l(d) = 0. Calculate d.
-1, 1
Let a(z) be the first derivative of 3*z - z**3 + 3/16*z**4 - 209 - 3/8*z**2. Find y such that a(y) = 0.
-1, 1, 4
Let o(u) be the second derivative of -u**9/7560 + u**7/420 - u**6/180 - 9*u**4/2 + u - 8. Let h(q) be the third derivative of o(q). Factor h(g).
-2*g*(g - 1)**2*(g + 2)
Solve 451 + 343 - 2*n**2 + 4*n**2 - 3*n**2 - 72*n - 323*n = 0 for n.
-397, 2
Let b(q) be the third derivative of -q**7/35 - 53*q**6/60 - 17*q**5/15 - 61*q**2 + 5. Factor b(s).
-2*s**2*(s + 17)*(3*s + 2)
Let t = 305 + -300. Let n be (-294)/(-60) - 0 - 2/t. Determine p so that n - 3/4*p**2 + 15/4*p = 0.
-1, 6
Factor 4627/4*w**2 + 31*w**3 + 1/4*w**4 + 11205*w - 12393.
(w - 1)*(w + 17)*(w + 54)**2/4
Let k(h) = h**2 - h - 1. Let i(j) = -14*j**2 + 10 + 20*j - 2*j**2 + 4*j**2. Let d be 25/20 + 11/(-44). Let l(n) = d*i(n) + 10*k(n). Find g such that l(g) = 0.
0, 5
Let t be ((-12)/(-22) - (-43)/(946/(-144))) + 8. Let o(z) be the first derivative of -1/9*z**3 - 49/3*z + 7/3*z**t + 29. Suppose o(a) = 0. What is a?
7
Let j = 601/27 - -38/27. Let g = 24 - j. Suppose 0 + w + 4/3*w**2 + g*w**3 = 0. What is w?
-3, -1, 0
Factor -576/17 - 2/17*k**2 - 88/17*k.
-2*(k + 8)*(k + 36)/17
Let a(d) be the third derivative of d**7/168 - 5*d**6/36 + 25*d**5/24 - 41*d**3/3 - 8*d**2 - d. Let l(n) be the first derivative of a(n). Factor l(x).
5*x*(x - 5)**2
Suppose -123*t**2 - 18*t**4 + 3/2*t**5 + 189/2*t + 72*t**3 - 27 = 0. What is t?
1, 3, 6
Let h(p) be the first derivative of -2/5*p**2 + 0*p + 36 - 2/5*p**4 + 2/25*p**5 + 2/3*p**3. Find c, given that h(c) = 0.
0, 1, 2
Let c = -367 + 369. Let x be (28/42)/((-3)/(27/(-4))). Solve -1/4*r**c - 5/4*r - x = 0.
-3, -2
Let r(w) = -w**2 - 24*w - 92. Let x be r(-5). Let i(q) be the first derivative of -3/2*q**2 + 5/3*q + 5 + 1/3*q**x + 1/12*q**4. Factor i(t).
(t - 1)**2*(t + 5)/3
Let y = 112/99 + -46/99. Let u(p) be the second derivative of 3/2*p**2 + 1/12*p**4 + y*p**3 + 0 - 5*p. Suppose u(f) = 0. What is f?
-3, -1
Let f be -5*(-18)/15 + (-1)/1. Suppose -h + 7 + 20 = f*m, 5*h + 4*m - 30 = 0. Let -4/3*o - 14/3*o**h + 0 = 0. Calculate o.
-2/7, 0
Let y(l) be the first derivative of l**7/3360 - 7*l**6/1440 + l**5/120 + l**4/8 - 107*l**3/3 + 104. Let o(s) be the third derivative of y(s). Factor o(w).
(w - 6)*(w - 2)*(w + 1)/4
Let s(k) be the third derivative of 15*k**8/3136 - k**7/147 + k**6/315 + 19*k**4/12 + 44*k**2. Let g(o) be the second derivative of s(o). Factor g(q).
q*(15*q - 4)**2/7
Solve 327*z**2 - 765484869 - z**3 + 6198*z**2 - 14191875*z + 7777687221 + 5614431286 - 2337524263 = 0.
2175
Let j = -30 + 41. Let i(c) = c**3 - 12*c**2 + 12*c + 3. Let g be i(j). Factor -8*p - g*p**2 + 8*p**3 + 4 + 11*p**2 + 3*p**2 - 4*p**4.
-4*(p - 1)**3*(p + 1)
Let 50*x**5 + 1971216/5 + 1840*x**4 + 720684/5*x**2 + 1945944/5*x + 24434*x**3 = 0. What is x?
-13, -18/5
Let t(f) = -37*f + 448. Let q(o) = 16*o - 228. Let w be q(15). Let a be t(w). Factor 0 + 0*r + 2/5*r**3 + 0*r**2 + 8/5*r**5 - 2*r**a.
2*r**3*(r - 1)*(4*r - 1)/5
Suppose 2442*i - 2612*i + 510 = 0. Factor 17/2*h**2 - 6*h**i - h - 3/2.
-(h - 1)*(3*h + 1)*(4*h - 3)/2
Let s(r) be the third derivative of r**7/60 - 11*r**6/48 - 3*r**5/5 + 5*r**2 + 7*r - 5. Factor s(x).
x**2*(x - 9)*(7*x + 8)/2
Suppose 8 = 5*h - 2. Factor 45 + 2*i**2 - i**2 + 0*i**2 - 50*i + 4*i**h.
5*(i - 9)*(i - 1)
Let v(p) = 3*p**4 - p**3 + 14*p**2 + 8*p + 5. Let d(y) = -2*y**4 + y**3 - 7*y**2 - 4*y - 3. Let x(j) = 5*d(j) + 3*v(j). Factor x(h).
-h*(h - 4)*(h + 1)**2
Let f(z) be the second derivative of -z**4/18 - 1400*z**3/9 - 490000*z**2/3 - 209*z - 1. What is b in f(b) = 0?
-700
Let t(u) = u**3 + u**2 - 158*u + 405. Let r be t(0). Determine n, given that 5/4*n**2 + 45*n + r = 0.
-18
Let l(t) be the second derivative of -t**4/12 - 156*t**3 - 109512*t**2 - t + 1949. Factor l(o).
-(o + 468)**2
Suppose -1314*p + 1318*p - 8 = 0. Let g(k) be the third derivative of -2/5*k**3 + 0 + 1/15*k**5 + 1/15*k**4 + 0*k - 10*k**p. Find n such that g(n) = 0.
-1, 3/5
Let n(x) = x**3 + 19*x**2 - 20*x + 11. Let f be n(-20). Solve -241*b**2 - f*b - 50 + 236*b**2 - 6*b - 38*b = 0.
-10, -1
Let r(c) = 4*c**3 + 90*c**2 + 118*c - 272. Let h(x) = -3*x**3 - 59*x**2 - 78*x + 182. Let g(j) = 10*h(j) + 7*r(j). Suppose g(b) = 0. Calculate b.
-2, 1, 21
Let u(c) be the second derivative of c**4/6 + 1304*c**3/3 + 425104*c**2 - 177*c - 4. Factor u(f).
2*(f + 652)**2
Let i be 12 + ((-87)/(42021/(-42)) - 87*24/207). Factor -93/8 - 45/4*o + 3/8*o**i.
3*(o - 31)*(o + 1)/8
Let w(u) be the first derivative of 