*(a - 1)*(2*a - 1)/13
Suppose -58 = -n + 34. Find s such that 70*s + 3*s**4 - 39*s - 46 + 102*s**3 + 63*s - 7*s**4 + n*s - 238*s**2 = 0.
1/2, 1, 23
Factor -28/3*r + 4*r**2 - 1/3*r**4 + 1/3*r**3 + 16/3.
-(r - 2)**2*(r - 1)*(r + 4)/3
Let f = -673904 + 11456370/17. Let -120/17*o + f*o**2 + 1800/17 = 0. What is o?
30
Let s be 12/(-1 + 0) + -18642 + 18654. Factor s - 11/5*b + 1/5*b**2.
b*(b - 11)/5
Let a(y) = -12*y - 36. Let l be a(-6). Let f be (-24)/l - 2/6 - -3. Find p, given that -p**4 - 4*p**4 - 4 + 8*p**2 + 3*p**4 - f*p**4 = 0.
-1, 1
Suppose 28*d = 110*d. Let i(l) be the third derivative of d*l + l**2 + 3/8*l**3 + 0 - 1/16*l**4 + 1/240*l**5. Determine q, given that i(q) = 0.
3
Let f = -1041 - -1035. Let y be (-16)/f*27/30. What is h in -y*h**2 + 0 - 12/5*h + 3/5*h**3 + 3/5*h**4 = 0?
-2, -1, 0, 2
Suppose -2*c = 4*x - 14, 0 = 13*c - 10*c - 21. Let p(d) be the second derivative of 0 + 0*d**3 - 12*d + 0*d**2 + 1/5*d**5 + x*d**4. What is n in p(n) = 0?
0
Find z such that -1/5*z**5 + 124/5*z**2 + 0 + 144/5*z - 9/5*z**4 + 12/5*z**3 = 0.
-9, -2, 0, 4
Factor 0 + 3/2*m**4 - 3/2*m**3 - 195/2*m**2 - 189/2*m.
3*m*(m - 9)*(m + 1)*(m + 7)/2
Let k(b) be the second derivative of 0 + 1/4*b**4 + 0*b**3 + 44*b + 1/40*b**6 + 0*b**2 + 3/20*b**5. Determine i so that k(i) = 0.
-2, 0
Let a(r) be the third derivative of -r**5/12 + 1465*r**4/3 - 3433960*r**3/3 - 106*r**2 - r. Factor a(w).
-5*(w - 1172)**2
Let u(g) = g**3 + 15*g**2 + 26*g - 3. Let i be u(-12). Let -i + 117 - 11*r**2 + 9*r**2 + 2*r**3 = 0. What is r?
0, 1
Let u(f) be the third derivative of -f**5/20 + 167*f**4/8 - 83*f**3 - f**2 - 345. Factor u(s).
-3*(s - 166)*(s - 1)
Let s(c) be the first derivative of 5*c**4/16 - 63*c**3/2 - 233*c**2/2 - 78*c - 3493. Factor s(r).
(r - 78)*(r + 2)*(5*r + 2)/4
Factor 1962/11*r**2 + 2/11*r**3 + 482160/11*r + 480200/11.
2*(r + 1)*(r + 490)**2/11
Let b(y) be the first derivative of -y**6/60 - 2*y**5/15 + 5*y**4/12 - 36*y**2 - 117. Let r(h) be the second derivative of b(h). Factor r(q).
-2*q*(q - 1)*(q + 5)
Let y be (-17)/((-850)/555)*(-10)/(-12) - 496/62. Factor 1/8*o**4 + 3/8 + 3/2*o**2 - 3/4*o**3 - y*o.
(o - 3)*(o - 1)**3/8
Let f = -28049/6 - -18715/6. Let c = f - -1561. Factor -c*b + 2/3*b**2 + 32/3.
2*(b - 4)**2/3
Suppose -f - 7 = 2*m - 0*m - 15, -6 = -2*m. Factor 10*l - 32/3 + 2/3*l**f.
2*(l - 1)*(l + 16)/3
Factor 131*c + 163 - 3*c**2 + 203 - 640*c + 146*c.
-3*(c - 1)*(c + 122)
Suppose 3288*f = 3286*f + 4. Determine k so that 0 + 1/8*k**3 - k**f + 7/8*k = 0.
0, 1, 7
Let j(i) = 4*i**5 + 2*i**4 - 20*i**3 + 10*i**2 + 8*i + 4. Let n(g) = 2*g**3 - g + 1. Let z = -395 + 394. Let b(s) = z*j(s) + 4*n(s). Solve b(u) = 0.
-3, -1/2, 0, 1, 2
Let i = -52226 - -52229. Factor -49 - 21/2*c + 6*c**2 - 1/2*c**i.
-(c - 7)**2*(c + 2)/2
Let i be -8 - (-10 + -7 - -9). Let s be (-531)/354 + 2 + i. Determine v, given that -s*v**2 + 0 + 0*v + 1/2*v**5 + 1/2*v**4 - 1/2*v**3 = 0.
-1, 0, 1
Let j(u) be the second derivative of -1/35*u**5 - 78*u + 1/7*u**4 + 4/7*u**3 + 0 - 16/7*u**2. Factor j(n).
-4*(n - 4)*(n - 1)*(n + 2)/7
Factor g - 29/4*g**3 + 14*g**2 + 0.
-g*(g - 2)*(29*g + 2)/4
Suppose 727*g - 115 - 247 = 1092. Determine w so that 2/5*w**2 + 0 + 2*w - 2/5*w**4 - g*w**3 = 0.
-5, -1, 0, 1
Let d(q) be the second derivative of q**5/70 + q**4/42 - 2*q**3/21 - 714*q. Factor d(n).
2*n*(n - 1)*(n + 2)/7
Factor 1/8*m**4 - 177/8*m**2 - 31/2 + 25/8*m**3 + 275/8*m.
(m - 4)*(m - 1)**2*(m + 31)/8
Let g(t) be the second derivative of -t**7/280 - t**6/30 + t**5/40 + t**4/2 + 17*t**3/2 - 67*t. Let f(y) be the second derivative of g(y). Solve f(k) = 0.
-4, -1, 1
Let l = 473 + -777. Let c be (-4)/(-38) + (-120)/l. Find z, given that -z**3 - 1/2*z**2 - c*z**4 + 0 + 0*z = 0.
-1, 0
What is x in -528/5*x + 0 + 412/5*x**2 - 78/5*x**3 + 2/5*x**4 = 0?
0, 2, 4, 33
Let i = 819 - 819. Factor i + 2/3*c**2 - 4/9*c.
2*c*(3*c - 2)/9
Suppose -4/5*n**5 - 800000*n - 24240*n**3 + 1204/5*n**4 + 824000*n**2 + 0 = 0. What is n?
0, 1, 100
Let t(c) = -c**5 + c**4 - c**3 - 2*c**2 + 2*c. Let g(m) = m**5 - 13*m**4 + 17*m**3 + 39*m**2 - 18*m - 24. Let d(r) = g(r) + 2*t(r). What is o in d(o) = 0?
-12, -1, 1, 2
Solve -20/3*y**3 + 67/3*y**2 - 46/3*y - 1/3*y**4 + 0 = 0 for y.
-23, 0, 1, 2
Let h be (-92)/(-28) + (-1 - 5/(-7)). Factor 3111*m - 2*m**2 - h*m**2 - 3096*m.
-5*m*(m - 3)
Let t(c) be the third derivative of c**7/168 - 5*c**6/8 + 7*c**5 - 205*c**4/6 + 90*c**3 - 1093*c**2. What is z in t(z) = 0?
2, 54
Let u(d) be the third derivative of -d**8/23520 - d**7/2940 + d**6/252 + 73*d**4/24 - 14*d**2. Let w(h) be the second derivative of u(h). Factor w(a).
-2*a*(a - 2)*(a + 5)/7
Let q(c) be the first derivative of 28*c**2 + 0*c - 200 + 20/3*c**3 - c**4. Factor q(a).
-4*a*(a - 7)*(a + 2)
Let a(w) be the first derivative of -1/14*w**4 - 3/7*w**2 + 0*w + 110 + 10/21*w**3 - 2/35*w**5. Factor a(n).
-2*n*(n - 1)**2*(n + 3)/7
Let c(y) be the second derivative of 7*y**4/12 + 1490*y**3/3 - 426*y**2 - 2*y + 6544. Factor c(h).
(h + 426)*(7*h - 2)
Let y(o) be the second derivative of o**4/18 + 230*o**3/9 - 1725*o. Factor y(b).
2*b*(b + 230)/3
Find r, given that -18012/7*r**2 - 6672/7*r - 768/7 - 13008/7*r**3 + 5685/7*r**4 - 300/7*r**5 = 0.
-2/5, -1/4, 4, 16
Let -1576/3*p + 200 - 214/3*p**2 + 286/3*p**4 + 10/3*p**5 + 298*p**3 = 0. Calculate p.
-25, -3, -2, 2/5, 1
Let u(y) be the first derivative of -y**3 - 75*y**2/2 - 138*y - 6489. Factor u(a).
-3*(a + 2)*(a + 23)
Let v(s) be the third derivative of -s**6/30 + 4*s**5/3 - 64*s**4/3 + 512*s**3/3 - 203*s**2 - 1. Factor v(n).
-4*(n - 8)**2*(n - 4)
Let x(m) be the second derivative of -40*m + 1/12*m**4 + 7/6*m**3 + 0*m**2 + 0. What is o in x(o) = 0?
-7, 0
Let l(q) be the third derivative of -q**5/120 + 9*q**4/16 - 13*q**3/6 + 1682*q**2. Determine s so that l(s) = 0.
1, 26
Let g(q) be the first derivative of 65/3*q**3 - 7/2*q**2 - 14*q**4 - 2*q + 12. Suppose g(x) = 0. What is x?
-1/8, 2/7, 1
Suppose -2*o + 1029 - 795 = -2*g, -8*g + 274 = 3*o. Find c, given that 125*c**2 + 85/2*c**4 - o*c**3 - 65*c - 5*c**5 + 25/2 = 0.
1/2, 1, 5
Let x(g) be the third derivative of -g**7/630 + 9*g**6/40 + 17*g**5/9 + 5822*g**2. Factor x(l).
-l**2*(l - 85)*(l + 4)/3
Let d(f) = 3*f**4 + 17*f**3 - 112*f**2 + 184*f - 96. Let j(g) = 16*g**4 + 84*g**3 - 560*g**2 + 918*g - 480. Let b(w) = -11*d(w) + 2*j(w). Factor b(p).
-(p - 2)**2*(p - 1)*(p + 24)
Suppose 3*g = 39 + 15. Let k be (11 - 3)/(-4) - g/(-3). Factor -15*u**k - 6*u**3 + 6*u**5 + 10*u**5 + 5*u**5.
3*u**3*(u - 1)*(7*u + 2)
Let s = -5174/2825 + 216/113. Let w(a) be the first derivative of 0*a**2 + s*a**5 + 0*a - 17 - 7/50*a**4 - 4/75*a**3 + 4/75*a**6. Find j such that w(j) = 0.
-2, -1/4, 0, 1
Let t = 8314/18183 + -96/209. Let b = 3842/6699 + t. Let -12/7*n**4 + 4/7 + b*n**5 + 8/7*n**2 - 12/7*n + 8/7*n**3 = 0. What is n?
-1, 1
Let z = 75236/5 + -15045. Let g(b) be the second derivative of -363/10*b**2 - 1/20*b**4 + 21*b + 0 + z*b**3. Factor g(u).
-3*(u - 11)**2/5
Suppose 6*g + 2*g - 464 = 0. Suppose -648 + 633 - 3*v + g*v + 20*v**2 = 0. Calculate v.
-3, 1/4
Suppose -5*p = -5*b + 3125, -323 - 1531 = -3*b - 4*p. Let b*n**3 - 2*n**4 - 2*n**5 + n**2 - 612*n**3 - 7*n**2 = 0. What is n?
-3, 0, 1
Suppose 0 - 414/5*l**4 - 684*l**2 + 2121/5*l**3 - 3/5*l**5 + 1716/5*l = 0. Calculate l.
-143, 0, 1, 2
Let f be (-2)/(-4) - 27/6 - 20460/(-558). Determine c so that f*c + 1056*c**2 + 1/3 + 10890*c**3 - 11979*c**4 = 0.
-1/33, 1
Let a(s) be the third derivative of -5*s**7/21 + 127*s**6/24 - 431*s**5/12 + 1045*s**4/24 + 175*s**3/2 - 4*s**2 - 134*s. Suppose a(y) = 0. What is y?
-3/10, 1, 5, 7
Let q(s) = 17*s**2 - 17737*s + 9821510. Let n(j) = 9*j**2 - 8869*j + 4910766. Let t(i) = 9*n(i) - 5*q(i). Let t(l) = 0. What is l?
1108
Let y = 157 - 87. Let k = -63 + y. Factor -10*d - 4*d + 8 + 1 - 3*d**3 - k*d + 15*d**2.
-3*(d - 3)*(d - 1)**2
Solve -1024/13 - 84/13*v**4 + 706/13*v**3 + 2/13*v**5 - 2192/13*v**2 + 2592/13*v = 0.
1, 4, 32
Suppose 0 = -g - 2*s - 274 + 290, 0 = -g + 3*s - 19. Let 12/5*h**3 + 9/5 - 6/5*h**g - 12/5*h - 3/5*h**4 = 0. What is h?
-1, 1, 3
Let q(v) be the third derivative of -v**6/60 - 11*v**5/30 - 13*v**4/6 - 16*v**3/3 - 34*v**2. Solve q(c) = 0 for c.
-8, -2, -1
Let r(c) be the third derivative of -c**6/180 + 7*c**5/5 - 341*c**4/3 + 7688*c**3/9 + 3205*c**2. Factor r(t).
-2*(t - 6