*p**m.
-2*(p - 2)*(p + 1)/9
Let w(p) be the third derivative of p**5/90 + 227*p**4/24 + 170*p**3/9 + 3*p**2 - 358. Factor w(b).
(b + 340)*(2*b + 1)/3
Determine n so that -4121*n**2 - 5*n**4 + 3*n**4 + 74*n**3 + 1940*n**2 + 2041*n**2 = 0.
0, 2, 35
Suppose -5*w - 5*u = 495, w + 3*u + 80 = -9. Let x = 732/7 + w. What is b in -x*b + 2/7*b**2 + 0 = 0?
0, 2
Let g(a) be the first derivative of -3*a**4/8 - 277*a**3/6 + 557*a**2/12 - 31*a/2 - 973. Solve g(k) = 0.
-93, 1/3
Let z(t) = t**3 - 3*t**2 - 493*t - 1423. Let d be z(-3). Suppose -3*h + 4*h = -5*i, 2*h = 2*i. Determine r, given that 0 - 2/11*r**d + i*r = 0.
0
Let w = 1756 - 12286/7. Suppose -x - 18 = 4*k, 31 + 0 = 3*x - 5*k. Factor -3/7*p**x - 3/7 - w*p.
-3*(p + 1)**2/7
Let a(v) be the third derivative of -v**6/60 - 331*v**5/30 - 2212*v**4 + 47040*v**3 + 5298*v**2. Find p, given that a(p) = 0.
-168, 5
Let w = 484388 - 484383. Let -3*l**w - 9/2*l**3 - 15/2*l**4 + 3/2*l + 3/2*l**2 + 0 = 0. Calculate l.
-1, 0, 1/2
Let j = -361 + 43321/120. Let r(m) be the third derivative of 0*m + j*m**5 + 3*m**3 + 1/4*m**4 + 4*m**2 + 0. Let r(g) = 0. Calculate g.
-6
Let f = 30 - 26. Suppose g - 2*a - 6 = -3*g, f*g - 15 = -a. Let -3*k**2 + 0*k + 3*k**4 - 5*k**g - 4*k**4 + 9*k = 0. What is k?
-3, 0, 1
Factor 6 - 2/5*i**2 + 4/5*i.
-2*(i - 5)*(i + 3)/5
Let d(g) be the first derivative of -2*g**5/5 - 3*g**4/2 + 14*g**3/3 + 27*g**2 + 36*g + 108. Let d(s) = 0. What is s?
-3, -2, -1, 3
Let p(t) be the second derivative of t**4/18 - 119*t**3/9 + 118*t**2/3 - 654*t + 1. Factor p(k).
2*(k - 118)*(k - 1)/3
Let y(r) = 2*r**4 + 15*r**3 + r**2 - 12*r - 3. Let i(c) = 6*c**4 + 46*c**3 + 4*c**2 - 36*c - 10. Let q = -203 + 200. Let d(a) = q*i(a) + 10*y(a). Factor d(t).
2*t*(t - 1)*(t + 1)*(t + 6)
Let s be (-298)/(-6) + (-14 - (-430)/30). Find w, given that 90 + 45*w - 41*w**2 + 134*w**2 - 38*w**2 - s*w**2 = 0.
-6, -3
Let f(h) be the first derivative of -2*h**3/39 - 521*h**2/13 + 1044*h/13 - 1202. Factor f(l).
-2*(l - 1)*(l + 522)/13
Let s be (38/95)/(1/5). Let x be 5 + 24/180 + 2/(-60)*118. Solve 4*d**s + x*d**3 + 8/5 + 22/5*d = 0.
-4/3, -1
Let s(g) be the second derivative of g**4/60 - 2*g**3/5 + 16*g**2/5 + 2*g - 80. Factor s(d).
(d - 8)*(d - 4)/5
Let j(y) be the first derivative of -y**5/10 + 5*y**4/2 - 14*y**3 - 1780. Suppose j(f) = 0. Calculate f.
0, 6, 14
Let p be (65366/(-140))/(-203) + (-9)/5. Factor 0 + 3/4*j**2 - 1/4*j**3 - p*j.
-j*(j - 2)*(j - 1)/4
Let j(u) be the third derivative of 1/21*u**4 + 0*u**3 - 1/210*u**5 - 106*u**2 + 0*u + 0. Determine f so that j(f) = 0.
0, 4
What is m in -4/5*m**3 - 12/5*m**2 + 1188/5*m + 9196/5 = 0?
-11, 19
Let c = 188547 + -754183/4. Determine x so that 1/2 - c*x - 3/4*x**2 = 0.
-2, 1/3
Suppose 17 = -2*w + 21. Factor -z**4 - 9*z**4 - 102*z**2 + 15*z**3 + 112*z**w.
-5*z**2*(z - 2)*(2*z + 1)
Let x(z) be the third derivative of z**6/480 + z**5/10 - 17*z**4/32 + 13*z**3/12 + 19*z**2 + 13*z. Find w such that x(w) = 0.
-26, 1
Let q be (-24)/3 + 2 + (-504)/(-81). Let f(r) be the second derivative of -1/54*r**4 - 1/9*r**3 + 0 - q*r**2 + 2*r. Factor f(o).
-2*(o + 1)*(o + 2)/9
Let j(l) = l**2 + 16*l + 87. Let q be j(-13). Factor 31 + 166 + q + 5*z**2 + 70*z.
5*(z + 7)**2
Suppose 2*h + 4*k + 8 = 0, 0 = -5*h + 2*k - 4*k + 4. Factor 120*o + 27*o**4 - 23*o**4 + 88*o**h + 32*o**3 + 15 + 21 - 24*o.
4*(o + 1)**2*(o + 3)**2
Suppose -b - 8 = -4*g, 4*g + b - 8 + 0 = 0. Suppose 4*s = -0*z + g*z + 4, 4*z + 2*s - 22 = 0. Factor -320/3*h - 2024/9*h**2 - 98/9*h**z - 280/3*h**3 - 128/9.
-2*(h + 4)**2*(7*h + 2)**2/9
Let c(l) be the first derivative of l**3/9 + 31*l**2/6 + 28*l + 859. Determine f so that c(f) = 0.
-28, -3
Let i(a) be the second derivative of a**6/6 + 119*a**5/10 - 33*a**4/4 - 24*a**3 - 2202*a. Factor i(l).
l*(l - 1)*(l + 48)*(5*l + 3)
Let f = -13084 - -13084. Let v(j) be the first derivative of f*j - j**4 + 5/6*j**6 - 8/5*j**5 + 0*j**2 - 33 + 0*j**3. Solve v(n) = 0 for n.
-2/5, 0, 2
Suppose q + 770 = -10*q. Let l = -68 - q. Factor -k**2 + 4*k - k**2 + 3*k**2 - 5*k**3 - 9*k**l.
-k*(k + 2)*(5*k - 2)
Let x be (-42453)/(-161268) - 16/1208. Factor -x*p**3 + 2*p**2 - 5/4*p - 25/2.
-(p - 5)**2*(p + 2)/4
Let s(b) = 100*b**2 - 2328*b + 13456. Let w be ((-2)/4)/((-55)/10 + 6). Let d(c) = -4*c. Let r(j) = w*s(j) + 2*d(j). Factor r(q).
-4*(5*q - 58)**2
Let m(g) be the second derivative of g**6/24 - g**5/12 - 5*g**4/12 - 26*g**2 + 32*g. Let u(b) be the first derivative of m(b). Factor u(x).
5*x*(x - 2)*(x + 1)
Factor 2376*o + 867/2*o**3 + 36*o**4 + 1746*o**2 + 96.
3*(o + 4)**3*(24*o + 1)/2
Suppose -5*k - f = -15, 6*k - 3*f = 2*k - 7. Suppose -18*z = -30*z. Factor z + 4/5*u**k - 2/5*u - 2/5*u**3.
-2*u*(u - 1)**2/5
Suppose 71*b + 525 = 246*b. Factor 0 + 8/7*o**b - 4/7*o**4 + 40/7*o + 52/7*o**2.
-4*o*(o - 5)*(o + 1)*(o + 2)/7
Let s(t) be the third derivative of 245*t**6/2 + 1204*t**5 - 2091*t**4/8 + 45*t**3/2 - 90*t**2 - 8. Solve s(u) = 0.
-5, 3/70
Let l = 623 + -621. Solve 280*w**2 - 13*w + 36 - 560*w**2 + 6 + 281*w**l = 0 for w.
6, 7
Let c(f) = f**2 + 79*f - 231. Let j(u) = -u**2 - 77*u + 222. Let o(s) = 6*c(s) + 5*j(s). Factor o(t).
(t - 3)*(t + 92)
Factor 1982*s - 1432*s + 51*s**3 - 3*s**4 + 4116 - 189*s**2 - 1285*s.
-3*(s - 7)**3*(s + 4)
Let n(j) be the third derivative of -1/12*j**4 - 1/84*j**8 + 0*j + 1/15*j**7 + 0 + 0*j**3 - 3/20*j**6 - 17*j**2 + 1/6*j**5. Factor n(k).
-2*k*(k - 1)**3*(2*k - 1)
Let k = -158610 - -1427542/9. Find z such that -8/9*z**3 - 46/9*z**2 + 16/9 - k*z = 0.
-4, -2, 1/4
Let z(t) be the second derivative of 1/105*t**5 + 4*t + 0*t**3 + 1/14*t**4 + 0 + t**2. Let o(a) be the first derivative of z(a). Factor o(d).
4*d*(d + 3)/7
Let k = -367 + 369. Factor -2*y**k + 16*y - 257 + 245 - 2*y**2.
-4*(y - 3)*(y - 1)
Suppose q = 2*q - 3*x - 16, 4*x + 20 = q. What is g in 18*g**2 + 49*g + 2*g - 3*g**q + 9 - 9*g**5 + 34*g**2 + 38*g**2 + 54*g**3 = 0?
-1, -1/3, 3
Suppose -1517 = 5*k + 1338. Let z = k + 571. Factor z*o**2 + 6/7*o**5 + 4/7*o**3 + 0 + 2*o**4 + 0*o.
2*o**3*(o + 2)*(3*o + 1)/7
Suppose 0 = 3*k - 134063*t + 134059*t - 4416, -5937 = -4*k + 3*t. Factor -81/4*f**5 - 1053/4*f**4 - k - 12255/4*f**2 - 3450*f - 5211/4*f**3.
-3*(f + 4)**2*(3*f + 5)**3/4
Let b(s) be the second derivative of -11*s**6/30 + 23*s**5/10 + 86*s**4/3 - 32*s**3/3 - 2*s + 1492. Determine p, given that b(p) = 0.
-4, 0, 2/11, 8
Let q(g) be the second derivative of 3159*g**5/40 - 495*g**4/8 + 16*g**3 - g**2 + 8596*g. Factor q(b).
(9*b - 2)**2*(39*b - 1)/2
Let f(m) be the second derivative of m**6/10 + 3*m**5/5 + m**4 - m - 1032. Solve f(w) = 0 for w.
-2, 0
Let u = 1448 + -1445. Let h be 0*u/(-6)*2. Find i such that -15/8*i**2 + 0*i + 9/8*i**3 + h = 0.
0, 5/3
Let v(u) = 13*u + 120. Let z be v(-9). Factor z*w**2 + 4*w**2 - 29 + 22*w + 5 - 5*w**2.
2*(w - 1)*(w + 12)
Let t(a) be the third derivative of 2*a**7/945 + a**6/90 - 11*a**5/135 - a**4/18 + 20*a**3/27 - 3*a**2 - 974*a. Let t(f) = 0. What is f?
-5, -1, 1, 2
Let z(o) be the second derivative of o**6/15 - 59*o**5/18 - 65*o**4/9 + 20*o**3 + 136*o**2/9 - 2482*o. Suppose z(h) = 0. Calculate h.
-2, -2/9, 1, 34
Let g(w) = -29*w**2 + 4212*w - 1013. Let l be g(145). Find v, given that -10/3*v**l - 2/3*v**5 + 10/3*v**3 + 2/3*v**4 + 8/3 - 8/3*v = 0.
-2, -1, 1, 2
Let f(k) be the first derivative of 16*k**5/35 + 41*k**4/7 + 148*k**3/7 + 72*k**2/7 - 432*k/7 + 4729. Determine t, given that f(t) = 0.
-6, -3, -2, 3/4
Let l = -96024 - -96066. Factor -l*p + 18 + 49/2*p**2.
(7*p - 6)**2/2
Let p be 351/(-36) + 9 + (-411)/(-4). Suppose -p*n - 32 = -118*n. Factor 2/9*c**n + 0 + 2/3*c.
2*c*(c + 3)/9
Let q(y) be the first derivative of 4/5*y**5 - 16/5*y - 4/15*y**3 - 24/5*y**2 + 12/5*y**4 + 99. Suppose q(x) = 0. Calculate x.
-2, -1, -2/5, 1
Suppose -169 = 19*o - 302. Let z(r) = -8*r**2 + 57*r - 5. Let t be z(o). Suppose 0 + 2/3*f**t - 28/3*f = 0. Calculate f.
0, 14
Solve 61*k - 26*k + 4*k + 2*k**2 + 44 + 26 - 15*k = 0.
-7, -5
Let v be (-1037)/(-34) - 6/(-4). Suppose 2*w + 2*x + 0*x - v = 0, 95 = 5*w + 2*x. Solve -44 + 13 - 5*k + w + 5*k**2 = 0.
-1, 2
Let t = 4142 + -4127. Let q = 8 - 6. Determine b, given that -2*b**2 + 2*b - b**3 + q - t*b**3 + 6*b**3 + 8*b**3 = 0.
-1, 1
Let o(t) be the second derivative of 3*t**5/20 + 45*t**4/4 + 100*t**3 + 5280*t. Factor o(c).
3*c*(c + 5)*(c + 40)
What is y in 75