 - 60880.
-2*(y - 228)**2*(y + 1)**2
Determine d so that -5/2*d**5 + 265/2*d**2 + 70*d - 25/2*d**4 + 105/2*d**3 + 0 = 0.
-7, -1, 0, 4
Let o(t) = -t**3 - 26*t**2 + 26*t - 25. Let m be o(-27). Find y such that -63*y**3 + 6*y**2 - y - m + 18*y**2 + 6*y = 0.
-2/7, 1/3
Let m(y) be the first derivative of y**3/3 - 31*y**2 - 408*y + 7404. Let m(a) = 0. Calculate a.
-6, 68
Factor -2196 + 625516*u**2 + 7*u**3 - 324 - 2*u**3 + 3790*u - 626791*u**2.
5*(u - 252)*(u - 2)*(u - 1)
Let n(z) = -3*z**3 + 2904*z**2 - 5808*z + 2895. Let k(r) = 3*r**3 - 2903*r**2 + 5809*r - 2893. Let y(h) = 3*k(h) + 4*n(h). Let y(c) = 0. Calculate c.
1, 967
Let i be (-1690)/(-507) + 4/(-3). Let p(t) be the first derivative of -2*t**4 - 2/3*t**6 + 0*t**i - 12/5*t**5 + 0*t - 6 + 0*t**3. Let p(o) = 0. What is o?
-2, -1, 0
Suppose 5*r - 16 - 6 = -l, 0 = r + 5*l + 10. Suppose -7*m = 5*w - 9*m + 10, -r = -3*w - m. What is z in w + 2/5*z**2 + 2/5*z**3 - 4/5*z = 0?
-2, 0, 1
Let j(i) be the second derivative of 3*i + 2 - 11/18*i**4 + 11/45*i**6 + 1/63*i**7 + 0*i**2 - 2*i**3 + 17/30*i**5. Let j(q) = 0. What is q?
-9, -2, -1, 0, 1
Solve 1553*i**2 - 22035*i + 5*i**4 + 15210 - 462*i**2 + 5354*i**2 + 375*i**3 = 0.
-39, 1, 2
Let m(g) be the second derivative of 4*g**2 + 1/12*g**4 - 19 - g**3 + 3*g. Find z such that m(z) = 0.
2, 4
Let i = -7169 + 7169. Let b(a) be the second derivative of -1/120*a**6 + i - 1/24*a**3 + 0*a**2 - 1/16*a**4 + 18*a - 3/80*a**5. Suppose b(l) = 0. What is l?
-1, 0
Factor -2/5*q**2 - 128/5 - 68/5*q.
-2*(q + 2)*(q + 32)/5
Let o(v) be the first derivative of -v**6/1020 - 11*v**5/510 - 5*v**4/102 - 73*v**2/2 - 13. Let u(d) be the second derivative of o(d). Factor u(l).
-2*l*(l + 1)*(l + 10)/17
Let k(h) be the first derivative of -h**5/160 + 3*h**4/32 - h**3/6 - 38*h - 39. Let m(s) be the first derivative of k(s). Factor m(q).
-q*(q - 8)*(q - 1)/8
Let r(o) be the second derivative of o**6/90 + 13*o**5/60 - 65*o**4/18 + 100*o**3/9 - 3*o + 249. Find a, given that r(a) = 0.
-20, 0, 2, 5
Let x(z) be the first derivative of -4*z**3/21 - 87*z**2/7 + 88*z/7 - 2532. Find j, given that x(j) = 0.
-44, 1/2
Suppose 1348/3*g - 908552/3 - 1/6*g**2 = 0. What is g?
1348
Let g(t) be the second derivative of -t**6/90 + 4*t**5/15 - 7*t**4/12 - 47*t**3/9 - 28*t**2/3 - 4625*t. Factor g(o).
-(o - 14)*(o - 4)*(o + 1)**2/3
Suppose -1042*z - 356*z - 372*z + 9904 = 706*z. Factor -96/5 - z*b + 4/5*b**2.
4*(b - 8)*(b + 3)/5
Suppose -10644/7*i - 14161842/7 - 2/7*i**2 = 0. What is i?
-2661
Let r(y) be the first derivative of -y**3 + 1137*y**2 - 430923*y - 5024. Let r(q) = 0. Calculate q.
379
Let -2176/19*t**3 + 12/19*t**5 - 310/19 + 932/19*t - 1846/19*t**4 + 924/19*t**2 = 0. What is t?
-1, 1/3, 1/2, 155
Let p be (9 - 1) + (867 - 12). Let d = p + -859. Factor 54/7*a**3 + 2/7*a**5 + 0*a + 0 + 18/7*a**d + 54/7*a**2.
2*a**2*(a + 3)**3/7
Solve -2/17*m**2 + 552/17 + 130/17*m = 0 for m.
-4, 69
Let 0*w - 34/5*w**4 + 2/5*w**5 + 176/5*w**3 + 0 - 288/5*w**2 = 0. What is w?
0, 4, 9
Let r(s) be the third derivative of 0 - 1/20*s**6 + 0*s + 1/210*s**7 + 1/12*s**5 + 1/2*s**4 + 159*s**2 + 0*s**3. Factor r(z).
z*(z - 4)*(z - 3)*(z + 1)
Let k(l) = l - 51. Let v be k(11). Let t = v + 42. Factor 0*q - 1/2*q**3 + 3/2*q**2 - t.
-(q - 2)**2*(q + 1)/2
Let k(i) be the second derivative of i**6/60 - 19*i**5/20 + 131*i**4/8 - 45*i**3 - 243*i**2 - 7230*i. Let k(s) = 0. What is s?
-1, 3, 18
Determine a, given that 3/8*a**4 + 45/2 - 21/2*a - 99/8*a**2 + 0*a**3 = 0.
-5, -2, 1, 6
Suppose 5*l = 25 - 15. Determine x so that -81*x**2 - x**5 - 3*x**3 + 2*x**5 + x**4 - 82*x**l - 2*x + 158*x**2 = 0.
-1, 0, 2
Let y(u) = 65*u**2 + 259*u - 202. Let n be y(-5). Let -n - 16*q - 1/2*q**2 = 0. Calculate q.
-16
Factor -358*c - 32755 + 3*c**2 + 100*c + 65512 - 32757.
3*c*(c - 86)
Let d be (-3)/18 - (5 - 112/21). Let r(p) be the third derivative of 1/480*p**6 + 14*p**2 + 0*p + 1/60*p**5 + 0 - 1/96*p**4 - d*p**3. Factor r(t).
(t - 1)*(t + 1)*(t + 4)/4
Let v(d) = -190*d**3 - 600*d**2 + 2820*d + 1905. Let z(k) = -27*k**3 - 86*k**2 + 403*k + 272. Let o(q) = -2*v(q) + 15*z(q). Factor o(j).
-5*(j - 3)*(j + 6)*(5*j + 3)
Let q(u) = 16*u**3 + 533*u**2 + 896*u - 244. Let x(r) = 15*r**3 + 531*r**2 + 891*r - 246. Let n(z) = -3*q(z) + 4*x(z). Factor n(g).
3*(g + 2)*(g + 42)*(4*g - 1)
What is m in 0 + 280/3*m**2 + 94*m**3 + 2/3*m**4 + 0*m = 0?
-140, -1, 0
Let w = 367/9 + -12469/306. Let j(f) be the first derivative of -1024/17*f - 192/17*f**2 - 16/17*f**3 + 9 - w*f**4. Factor j(k).
-2*(k + 8)**3/17
Let u(o) be the second derivative of 33/40*o**5 + 10*o + 7/60*o**6 + 2 + 0*o**2 - 13/6*o**4 + o**3. Factor u(t).
t*(t - 1)*(t + 6)*(7*t - 2)/2
Suppose 94 = 8*w + 70. Factor -2*s**w + 24*s**2 - 1391 - 47*s + 5*s + 1411.
-2*(s - 10)*(s - 1)**2
Solve 38/5*q**2 + 2/5*q**3 + 68/5*q + 0 = 0.
-17, -2, 0
Suppose -i - 2*i + 12 = 0. Suppose -5*c + i*v + 17 = 0, -c = -3*c - v + 12. Let -c*s**2 - 20*s + 0*s**2 - 23 + 8 = 0. What is s?
-3, -1
Let f(j) be the third derivative of -1/6*j**3 + 0 + 1/336*j**8 - 12*j**2 + 1/24*j**4 + 5*j - 1/210*j**7 + 1/30*j**5 - 1/60*j**6. Factor f(r).
(r - 1)**3*(r + 1)**2
Let v = -18373/553 + 10/4977. Let p = -33 - v. Solve p*t**3 + 1/9*t**4 + 0 - 1/9*t**2 - 2/9*t = 0 for t.
-2, -1, 0, 1
Let u = 36/5 - 7. Let g = -24236 - -24236. Factor u*a**2 - 1/5 + g*a.
(a - 1)*(a + 1)/5
Let a(s) = -43*s - 32. Let x be a(4). Let v = x - -204. Factor 0*i**2 + v - 2/15*i**5 + 0*i**3 + 2/15*i**4 + 0*i.
-2*i**4*(i - 1)/15
Suppose 0*s + 166 = -5*s - 3*b, -3*s + 5*b - 120 = 0. Let i be (3/(-3))/(s/756). Factor -4/5 + 36/5*v - 108/5*v**2 + i*v**3.
4*(3*v - 1)**3/5
Factor -1364 + 1133 - 8943*b - 12*b**2 - 2004.
-3*(b + 745)*(4*b + 1)
Let l(p) be the first derivative of p**6/36 - 2*p**5/5 - 29*p**4/24 + 2*p**3/3 + 7*p**2/3 - 522. Let l(z) = 0. What is z?
-2, -1, 0, 1, 14
Let t = 363 + -366. Let g(i) = -54*i**2 + 33*i + 12. Let v(z) = -163*z**2 + 103*z + 36. Let y(r) = t*v(r) + 8*g(r). Suppose y(p) = 0. What is p?
-4/19, 1
Suppose 7*g - 6*g + 34 = 18*g. Factor -7/2*p**g - 15/2*p - 1/2*p**3 - 9/2.
-(p + 1)*(p + 3)**2/2
Let s(x) = 12*x**3 - 1368*x**2 + 1698*x - 332. Let m(g) = -26*g**3 + 2735*g**2 - 3394*g + 660. Let p(k) = -2*m(k) - 5*s(k). Determine w, given that p(w) = 0.
1/4, 1, 170
Let y be (14/(-3))/(5/(-9)). Let r be 13330/450 - (97/(-9) + (12 - 1)). Determine k so that -y*k - 3/5*k**2 - r = 0.
-7
Let v = 316 - 300. Suppose -5*b - 23 = -h, 3*h - 1 = -18*b + v*b. Factor 2*s + 2/3*s**h - 2*s**2 - 2/3.
2*(s - 1)**3/3
Let h(g) = 5*g**3 + 6*g**2 + 4*g. Let v(k) = -26*k**3 - 28*k**2 - 18*k. Let t(r) = 16*h(r) + 3*v(r). Determine m so that t(m) = 0.
-5, -1, 0
Let s = 710/143 + -36/11. Let f(w) = -w - 31. Let y be f(-31). Factor -2*p**3 + 10/13*p**4 + s*p**2 - 6/13*p + y.
2*p*(p - 1)**2*(5*p - 3)/13
Let -3/2*b**2 - 180 - 33*b = 0. What is b?
-12, -10
Let j(t) be the first derivative of 2*t**3/3 - 6168*t**2 + 19022112*t + 9200. Suppose j(l) = 0. What is l?
3084
Let u(c) be the first derivative of 5*c**4/26 + 6*c**3/13 - 6*c**2/13 - 16*c/13 + 609. Factor u(j).
2*(j - 1)*(j + 2)*(5*j + 4)/13
Let j(t) be the second derivative of 16*t + 0 + 5*t**3 - 3*t**4 + 9/10*t**5 - 1/10*t**6 - 9/2*t**2. Factor j(l).
-3*(l - 3)*(l - 1)**3
Let f = 579762 + -7536898/13. Solve 18/13*d**2 + 14/13*d**3 - f - 24/13*d = 0 for d.
-2, -2/7, 1
Factor -873924*h + 1759173*h + 1004*h**3 + 2217381 + 153435 + 753636*h - 4*h**4 + 647259*h - 83664*h**2.
-4*(h - 84)**3*(h + 1)
Let f = 1/14410 - -7199/86460. Suppose 1/12*n + 0 + f*n**2 = 0. Calculate n.
-1, 0
Let g(a) be the first derivative of -a**4/36 + 43*a**3/27 - 229*a**2/9 + 416*a/9 - 7481. Factor g(b).
-(b - 26)*(b - 16)*(b - 1)/9
Suppose z = o + 7, z + 1003*o = 1005*o + 12. Factor 0*v**z + 0 + 0*v**3 + 1/10*v**4 + 0*v.
v**4/10
Let f(h) be the third derivative of -h**7/140 - 9*h**6/80 - 13*h**5/20 - 3*h**4/2 + 72*h**2 - 7*h. Factor f(k).
-3*k*(k + 2)*(k + 3)*(k + 4)/2
Let i(g) = 20*g**4 + 76*g**3 - 376*g**2 + 248*g + 8. Let q(v) = 7*v**4 + 25*v**3 - 127*v**2 + 83*v + 3. Let p(f) = 3*i(f) - 8*q(f). Find h, given that p(h) = 0.
-10, 0, 1, 2
Suppose -5*c = -8*c + 93. Suppose -26 = -4*a + s, 6*a - a = 2*s + c. Suppose -14*m**2 + 50*m**2 - 16*m**3 - a*m + 4 - 6*m - 11*m = 0. What is m?
1/4, 1
Let y(i) be the second derivative of i**4/66 + 25*i**3/33 + 114*i*