56263 - 56261. Factor 2/5*r**3 - 2/5*r - 6/5*r**u + 6/5.
2*(r - 3)*(r - 1)*(r + 1)/5
Let 1/2*p**4 - 8125/2*p - 25/2*p**2 + 0 + 37/2*p**3 = 0. What is p?
-25, 0, 13
Let u(a) be the first derivative of -3*a**6/2 + 114*a**5/5 + 369*a**4/4 - 278*a**3 + 180*a**2 + 5263. Determine i, given that u(i) = 0.
-4, 0, 2/3, 1, 15
Suppose -41 = -3*m - 2*l, -2*m = -2*l - 18 - 6. Let p(v) = v**2 - 12*v - 11. Let o be p(m). Factor -102*b + 2*b**3 + 4 + 112*b - 6*b**2 + 14*b**o.
2*(b + 1)**2*(b + 2)
Suppose -1289*t + 300 = -1923 - 940 + 585. Let -63/2*l**t + 1023/2*l - 961/2 + 1/2*l**3 = 0. What is l?
1, 31
Let w(f) = -8*f - 140. Let i be w(-18). Let p be ((-35)/(-45) + i/(-12))*12. Suppose 0 - 4/3*j**3 - 2/3*j**4 + 8/3*j**2 + p*j = 0. What is j?
-2, 0, 2
Let f(h) be the third derivative of h**5/270 + 43*h**4/108 + 40*h**3/9 - 3078*h**2. Let f(g) = 0. Calculate g.
-40, -3
Let z(u) be the second derivative of 22*u**7/105 - 82*u**6/25 + 88*u**5/5 - 216*u**4/5 + 736*u**3/15 - 96*u**2/5 + 338*u - 2. Find q, given that z(q) = 0.
2/11, 1, 2, 6
Solve -93266 + 860*f**3 + 365*f**4 + 93266 + 180*f + 50*f**5 + 705*f**2 = 0.
-3, -4/5, -1/2, 0
Let -110*j**3 - 57*j**3 + 223*j**3 + 2*j**5 - 59*j**2 - 15*j - 127*j**3 - 25*j**4 = 0. Calculate j.
-1, -1/2, 0, 15
Determine y, given that -2*y**4 + 11*y**4 - 418*y**2 - 989 - 1419*y + 1419*y**3 + 188*y**2 + 1463 - 253*y**2 = 0.
-158, -1, 1/3, 1
Let c(f) = -65*f**3 - 93*f**2 - 347*f - 251. Let y(x) = 245*x**3 + 375*x**2 + 1390*x + 1005. Let i(d) = 15*c(d) + 4*y(d). Factor i(k).
5*(k + 1)*(k + 3)*(k + 17)
Suppose -5 = -i, -50*i = -k - 46*i - 20. Let b(t) be the second derivative of 1/7*t**4 + k + 8*t - 3/7*t**2 - 11/42*t**3 + 1/28*t**5. Let b(u) = 0. Calculate u.
-3, -2/5, 1
Let b(a) be the second derivative of 3*a**7/28 - 41*a**6/12 - 23*a**5/20 + 742*a. Solve b(c) = 0 for c.
-2/9, 0, 23
Let s be 1216/(-11856)*572/(-24). Determine k, given that 52/9 - 2/9*k**2 + s*k = 0.
-2, 13
Suppose 0 = -387300*r + 387317*r - 34. Solve 3/2*o**4 - 21/2*o - 18 + 21/2*o**3 + 33/2*o**r = 0.
-4, -3, -1, 1
Let y = -291/82 - -3529/902. Let 10/11*o**2 - y*o - 8/11*o**3 + 0 + 2/11*o**4 = 0. Calculate o.
0, 1, 2
Let d be (-36)/(-21)*(-21)/(-6). Suppose 0 = -0*g - 7*g + 14. Solve 6*w + 35*w**g + d*w + 2 + 0 - 25*w**2 = 0 for w.
-1, -1/5
Let p(m) be the second derivative of m**6/10 + 14*m**5/15 + 19*m**4/12 + 5*m**3/9 - 4*m - 20. Factor p(b).
b*(b + 1)*(b + 5)*(9*b + 2)/3
Suppose -20*r - 1134 - 326 = 0. Let x be r/(-12) - (494/39)/(-19). Factor -x*o - 33/4*o**3 + 3/2 + 9/4*o**4 + 45/4*o**2.
3*(o - 1)**3*(3*o - 2)/4
Let z(r) be the second derivative of -r**7/42 + 11*r**6/10 - 77*r**5/5 + 83*r**4 - 120*r**3 - 31*r + 45. Factor z(s).
-s*(s - 20)*(s - 6)**2*(s - 1)
Let i(g) be the first derivative of -1/18*g**4 + 2/9*g + 2/9*g**3 - 1/3*g**2 - 137. Let i(f) = 0. What is f?
1
Let f(t) = -4*t**3 + 8*t**2 - 1. Let s(d) = 22*d**3 + 5600*d**2 + 11274*d + 5641. Let q(g) = 5*f(g) + s(g). Factor q(h).
2*(h + 1)**2*(h + 2818)
Find p, given that 32*p**5 + 3775*p + 57652*p + 36813*p**2 + 1180*p**4 + 14828*p**3 + 30435*p**2 - 6912 - 14771*p = 0.
-12, -1, 1/8
Suppose 0 = -39*k - 41 + 2. Let q(b) = 67*b + 71. Let f be q(k). Factor -2/7*o**f + 20/7*o**3 + 108/7*o - 54/7 - 72/7*o**2.
-2*(o - 3)**3*(o - 1)/7
Let z be 3/(-18) + 99647/26202. Determine w so that 2/11*w**2 + 24/11*w + z = 0.
-10, -2
Let q be 2/(-49) + (-9128)/(-2744) + -3. Factor -4/7*a**2 - 6/7*a**3 - 6/7 + 1/7*a**5 + q*a**4 + 13/7*a.
(a - 1)**3*(a + 2)*(a + 3)/7
Let s(t) be the second derivative of -t**6/105 - 4*t**5/7 + 71*t**4/7 - 760*t**3/21 - 175*t**2 + 6855*t. Determine x, given that s(x) = 0.
-49, -1, 5
Let d = -76431679/598 - -127812. Let s = d - -15/46. Suppose -8/13*b + s*b**2 + 6/13 = 0. What is b?
1, 3
Let b(t) be the second derivative of 3*t**5/20 + 1603*t**4/4 + 3203*t**3/2 + 4803*t**2/2 + 3795*t. Suppose b(v) = 0. Calculate v.
-1601, -1
Suppose 64 = 2*b + 2*l + 14, 0 = -b - 2*l + 22. Suppose 32*t - b = 25*t. Factor -4/5*u**3 + 6/5*u**t + 6/5*u - 4/5*u**2 - 2/5*u**5 - 2/5.
-2*(u - 1)**4*(u + 1)/5
Let f be (-359)/33 - (-165)/15. Let o(y) be the second derivative of 1/110*y**5 + 27*y - f*y**4 + 0 + 16/33*y**3 + 0*y**2. Determine d, given that o(d) = 0.
0, 4
Let t(a) be the second derivative of -a**4/9 - 2108*a**3/9 - 555458*a**2/3 - 7301*a. Find m, given that t(m) = 0.
-527
Let s(a) be the second derivative of -a**6/45 + 3*a**5/10 + a**4/18 - a**3 - 951*a. Factor s(h).
-2*h*(h - 9)*(h - 1)*(h + 1)/3
Let p = -21083 + 21086. Let g(s) be the third derivative of -11/9*s**4 - 1/36*s**6 - 37/90*s**5 + 0 + 0*s - 38*s**2 - 4/3*s**p. Factor g(n).
-2*(n + 1)*(n + 6)*(5*n + 2)/3
Let x = 863/20 + -767/20. Suppose -x + 12/5*a**3 + 2/5*a**4 - 8/5*a + 18/5*a**2 = 0. Calculate a.
-3, -2, 1
Let a(w) be the third derivative of w**6/2160 - w**5/240 + 23*w**3/3 - 2*w**2 + 40. Let g(s) be the first derivative of a(s). Factor g(d).
d*(d - 3)/6
Let u(i) be the first derivative of 2*i**5/35 - 244*i**4/7 + 119072*i**3/21 + 2995. Factor u(x).
2*x**2*(x - 244)**2/7
Let c(d) = d**3 - 5*d**2 - 4*d - 8. Let m be c(6). Let p be 4 - (m - (4 - 4)). Find k such that p*k**2 - 10*k**2 + 5*k + 4*k**2 + 3*k**2 - 2 = 0.
2/3, 1
Let z(t) be the second derivative of -1/20*t**6 - 4 + 48*t**2 + 9*t - 33/40*t**5 - 4*t**3 - 9/2*t**4. Let z(l) = 0. Calculate l.
-4, 1
Let n be (-10)/4*(352/40)/(-11). Suppose 0 - 14*m**n - 10 - 229*m**3 + 231*m**3 + 22*m = 0. What is m?
1, 5
Let i(m) be the first derivative of 0*m + 0*m**2 + 0*m**4 + 0*m**3 + 43 + 1/3*m**6 - 2/5*m**5. Factor i(y).
2*y**4*(y - 1)
Let h(w) = -20*w**3 + 648*w**2 + 1432*w + 1592. Let a(c) = 2*c**3 - 71*c**2 - 159*c - 177. Let j(r) = -28*a(r) - 3*h(r). Factor j(b).
4*(b + 3)**2*(b + 5)
Let h = 2/3257 - -9761/16285. Suppose 24*q = 29*q - 15. Determine n, given that -3/5*n**2 + 0 - 6/5*n + h*n**q = 0.
-1, 0, 2
Let d(o) be the third derivative of -o**8/2688 + o**7/420 + 17*o**6/160 + 47*o**5/120 + 91*o**4/192 + 257*o**2 - 2*o - 1. Let d(w) = 0. What is w?
-7, -1, 0, 13
Let d(m) be the third derivative of 25*m**2 + 0*m**3 - 1/48*m**6 + 2 + 0*m**4 + 7/6*m**5 + 0*m. Factor d(b).
-5*b**2*(b - 28)/2
Factor -80 + 1/3*j**3 - 74/3*j + 5/3*j**2.
(j - 8)*(j + 3)*(j + 10)/3
Let c(n) be the first derivative of 4/9*n**3 - 1/6*n**4 + 9 + 0*n - 1/3*n**2. Factor c(q).
-2*q*(q - 1)**2/3
Let a(r) be the third derivative of -r**7/140 + r**6/40 - r**4/8 + r**3/4 + 973*r**2. Solve a(k) = 0 for k.
-1, 1
What is h in -28*h**2 + 22/3*h**3 - 2/3*h**4 - 80/3 + 136/3*h = 0?
2, 5
Let q(h) be the first derivative of -2*h**5/85 - 13*h**4/34 + 166*h**3/51 - 123*h**2/17 + 108*h/17 + 1631. Find r such that q(r) = 0.
-18, 1, 3
Factor 2/5*s**3 - 58/5*s**2 + 0 - 192/5*s.
2*s*(s - 32)*(s + 3)/5
Let k = 235 - 689/3. Suppose 12*n - 4*b - 6 = 13*n, 0 = 2*n + 6*b + 8. Factor 25/3*a**n + k*a**4 - 24*a**3 + 9*a + 4/3.
(a - 4)*(a - 1)*(4*a + 1)**2/3
Let f = 102 + -2153/21. Let z = 25/21 - f. Find u, given that 4/7*u**3 + z*u**2 + 0 + 8/7*u = 0.
-2, -1, 0
Let h(o) be the third derivative of -o**5/390 - 27*o**4/52 + 166*o**3/39 + 10*o**2 + 3. Factor h(g).
-2*(g - 2)*(g + 83)/13
Factor 114*m - 2/3*m**2 - 676/3.
-2*(m - 169)*(m - 2)/3
Let f(p) = -8*p**3 - 1176*p**2 - 88792*p - 172864. Let r(u) = 31*u**3 + 4706*u**2 + 355167*u + 691458. Let w(a) = 15*f(a) + 4*r(a). What is j in w(j) = 0?
-147, -2
Let y = -279268 - -279268. Determine j, given that y + 3/5*j**3 + 18/5*j**2 + 3*j = 0.
-5, -1, 0
Let o(t) be the second derivative of t**4/6 - 13*t**3/3 - 114*t**2 - 1027*t. Factor o(l).
2*(l - 19)*(l + 6)
Let k(t) be the second derivative of -t**8/672 - t**7/210 + t**6/30 - 59*t**2 + 4*t + 7. Let w(p) be the first derivative of k(p). Solve w(h) = 0.
-4, 0, 2
Let 7617*o**2 - 202005 + 7682*o**2 - 15424*o**2 - 10050*o = 0. What is o?
-201/5
Solve 10*k + 26/3*k**2 - 2/3*k**4 - 2*k**3 + 0 = 0.
-5, -1, 0, 3
Let x(t) be the first derivative of 7*t**3 - 6 - 12*t - 9/5*t**5 + 6*t**2 - 3*t**4. Solve x(c) = 0 for c.
-2, -1, 2/3, 1
Let y = -53 + 68. Suppose 0 = 10*f - 13*f + y. Determine t, given that t + f*t - t**3 + 0*t**2 + 8*t**2 + 3*t**3 = 0.
-3, -1, 0
Let j be -1 - (-165)/175 - (218385/(-12075) - (-6)/10). Factor -1800/7*c + 2/7*c**4 - j*c**3 + 1920/7*c**2 + 0.
2*c*(c - 30)**2*(c - 1)/7
Let z(o) be the second derivative of o**8/3136 - o**7/2940 + o**4