92/5*h + 4/5*h**3 - m - 48/5*h**2.
4*(h - 4)**3/5
Let l(s) be the second derivative of 5*s**9/2016 - 5*s**8/672 - s**7/84 + s**6/36 - 89*s**3/3 - 95*s. Let g(t) be the second derivative of l(t). Solve g(k) = 0.
-1, 0, 2/3, 2
Suppose 0 = 6*m + 287 - 299. Let p be ((-5)/m + 2)/((-20)/12). Let -1/2*z + 1/10*z**4 + 1/2*z**3 + p*z**2 - 2/5 = 0. What is z?
-4, -1, 1
Factor 661585 + 116185 + 3*f**2 + 3036*f - 9662.
3*(f + 506)**2
Suppose -d = 5*z - 25, 4144*z = 4146*z - 5*d + 17. Factor 3/2*y**5 - 3*y**z - 9 - 48*y**2 - 69/2*y - 27*y**3.
3*(y - 6)*(y + 1)**4/2
Let q = 26 + -22. Suppose t = -z + 7, -z - 2*z = -2*t + q. Factor 9*y**2 + 2 + 3 - 20*y + 11*y**z.
5*(2*y - 1)**2
Let z(o) be the second derivative of 16*o**2 - 164*o + 0 + 1/3*o**4 - 4*o**3. Factor z(m).
4*(m - 4)*(m - 2)
Let q(g) be the second derivative of g**7/14 - 13*g**6/5 + 399*g**5/20 + 518*g. Factor q(c).
3*c**3*(c - 19)*(c - 7)
Let d(u) be the second derivative of 0*u**3 + 0*u**2 + 2/5*u**5 + 1/30*u**6 - 71 + 4/3*u**4 + u. Solve d(f) = 0 for f.
-4, 0
Let h(u) be the third derivative of -u**6/600 - u**5/40 - 3*u**4/20 - 25*u**3/3 - 21*u**2 + 1. Let y(j) be the first derivative of h(j). Solve y(w) = 0.
-3, -2
Determine w so that -74 + 780*w**2 - 546*w - 11*w**3 - 3*w**3 - 15 + 4 - 135 = 0.
-2/7, 1, 55
Let m(z) = -z + 3. Let c be m(0). Let k = c - 0. Find s such that -k*s - 4*s + s**2 - 6 - 5*s + 7*s = 0.
-1, 6
Let a(y) be the second derivative of y**4/9 - 3596*y**3/9 + 1616402*y**2/3 + 15*y - 91. Solve a(d) = 0 for d.
899
Let m(q) be the first derivative of -2*q**5/15 - 4*q**4/3 + 2*q**3/9 + 8*q**2/3 - 582. Determine p so that m(p) = 0.
-8, -1, 0, 1
Suppose -f + 34 = 5*q, 5*f + 4*q - 44 - 84 = 0. Suppose -f = -4*t - z, 4*t + 0*z - 8 = 3*z. Factor -6*c - 3/4*c**t + 15/4*c**3 - 3/4*c**4 + 3/4*c**2 + 3.
-3*(c - 1)**3*(c + 2)**2/4
Let w be 330/275 - (-2568)/10. Let s = w + -256. Factor -1/4*k**4 + 1/4*k**3 - 1/4*k**5 + 1/4*k**s + 0*k + 0.
-k**2*(k - 1)*(k + 1)**2/4
Let t(m) = -m**3 - 60*m**2 + 1798*m - 489. Let r be t(-82). Let 0*q**2 + 5/2*q + 5/2*q**5 - 5*q**r + 0*q**4 + 0 = 0. Calculate q.
-1, 0, 1
Determine o, given that -160 + 2/3*o**3 + 272/3*o - 46/3*o**2 = 0.
4, 15
Suppose 864/5*c - 1664/5*c**3 - 676/5*c**4 + 108/5 + 1368/5*c**2 = 0. Calculate c.
-3, -3/13, 1
Let w = -37 - -40. Let k = -2 + w. Factor -24*l**4 + k - 1 + 22*l**4 - 8*l**3.
-2*l**3*(l + 4)
Let u(h) = 26*h**3 - 162*h**2 + 1240*h - 2448. Let o(x) = -81*x**3 + 485*x**2 - 3717*x + 7342. Let r(g) = -8*o(g) - 25*u(g). Find q such that r(q) = 0.
4, 77
Let g(j) = -3*j**3 + 336*j**2 - 1719*j + 2394. Let b(m) = m**3 - 84*m**2 + 429*m - 598. Let c(p) = 9*b(p) + 2*g(p). Suppose c(t) = 0. Calculate t.
3, 22
Let a(w) = -w**5 + w**4 + w. Let f(b) = 12*b**5 - 14*b**4 - 5*b**3 + 3*b**2 - 7*b. Let u(h) = 44*a(h) + 4*f(h). Factor u(k).
4*k*(k - 4)*(k - 1)*(k + 1)**2
Let j(t) be the second derivative of -t**6/36 - 4*t**5/15 + 23*t**4/72 + 7*t**3/18 + 1402*t. Factor j(b).
-b*(b - 1)*(b + 7)*(5*b + 2)/6
Let v(s) = 8*s**2 - 71*s - 385. Let g(y) = 13*y**2 - 107*y - 576. Let z(b) = -5*g(b) + 8*v(b). Solve z(t) = 0 for t.
-25, -8
Let u = 3369 - 3369. Let o(k) be the first derivative of 0*k**3 + u*k**2 - 17 + 2/35*k**5 - 3/14*k**4 + 0*k. Determine y, given that o(y) = 0.
0, 3
Let j = 276 - 4138/15. Let n be (12/(-14))/(0 - 45/140). Suppose -14/15*t**2 - 8/5 + n*t - 4/15*t**3 + j*t**4 = 0. Calculate t.
-3, 1, 2
Let u be 4 - (-2 + (2 - 0)). Let j = -6823 - -6827. Let -j*l**5 + u*l - 90*l**4 + 4*l**2 - 4*l + 102*l**4 - 12*l**3 = 0. What is l?
0, 1
Let -403/2*o - 100*o**2 + 1/2*o**3 - 101 = 0. Calculate o.
-1, 202
Let s(d) = 11*d**2 - 5*d + 6. Let n = -69 - -62. Let u be 1 + 1/1 - -4. Let g(a) = 12*a**2 - 5*a + 7. Let m(c) = n*s(c) + u*g(c). Let m(i) = 0. What is i?
0, 1
Suppose -2*q + 9 = -5*x, 4*q - 5 = 2*q + x. Determine r so that 14890 - 4708 + q*r**2 - 3*r**2 + 14782 + 5*r**2 - 632*r = 0.
79
Let p be 4*7/490*7. Let l(x) be the first derivative of -5/2*x**4 + 4*x**2 + 1/3*x**6 + 23 - 8*x + 10/3*x**3 - p*x**5. Let l(z) = 0. Calculate z.
-2, -1, 1, 2
Factor -466/5 + 464/5*t + 2/5*t**2.
2*(t - 1)*(t + 233)/5
Determine k so that 1806/13*k + 2/13*k**3 - 310/13*k**2 - 2682/13 = 0.
3, 149
Let h be 16/(-8) + (3 - 0) + -527. Let i = h + 2632/5. Determine w so that 4/5*w - 2/5 - i*w**2 = 0.
1
Let h(c) = 2*c**2 - 1. Let p(i) = -11*i**2 - 21*i + 1. Let t(f) = -2*f**2 - f. Let j(g) = -p(g) + 5*t(g). Let o(x) = -3*h(x) + 3*j(x). Factor o(d).
-3*d*(d - 16)
Let x(c) be the first derivative of -84/5*c + 24/5*c**2 + 81 - 1/5*c**3. Find l such that x(l) = 0.
2, 14
Let w(v) be the third derivative of v**2 + 0*v + 1/300*v**5 - 1/600*v**6 + 0*v**3 - 1/1050*v**7 + 0 + 1/120*v**4. Factor w(d).
-d*(d - 1)*(d + 1)**2/5
Factor -1/2*p**2 + 1/2*p**3 - 27*p + 72.
(p - 6)*(p - 3)*(p + 8)/2
Let k be 34 + 612/(11 + -29). Find t such that 0*t + t**2 - 1/2*t**4 - 1/2*t**3 + k = 0.
-2, 0, 1
Let o(i) = -15*i**2 - 38*i - 715. Let v(f) = 4*f**2 - f. Let d(n) = o(n) + 4*v(n). Factor d(t).
(t - 55)*(t + 13)
Let w = 755/184 + 5455/184. Factor w*v**3 + 33/4*v**4 + 243/4*v**2 + 0 + 81/2*v + 3/4*v**5.
3*v*(v + 2)*(v + 3)**3/4
Factor -72*g**3 + 76/11*g**4 + 0*g - 2/11*g**5 + 0 + 1296/11*g**2.
-2*g**2*(g - 18)**2*(g - 2)/11
Let y(o) = -4*o**2 - 29*o - 51. Let i be y(-3). Let q(j) be the third derivative of -1/40*j**4 + 0*j + 1/100*j**5 - 1/5*j**3 + 15*j**2 + i. Factor q(d).
3*(d - 2)*(d + 1)/5
Let s be (288/(-64))/(3/(-2)). What is t in 2 - 36*t**2 - 310*t**s - 2 + 313*t**3 = 0?
0, 12
Factor 16757 + 1164*q**2 + 774*q - 33173 + 9*q**3 + 766*q + 16928.
(q + 128)*(3*q + 2)**2
Let -62/5*q**3 - 56/5*q**4 + 2/5*q**5 + 116/5*q**2 + 0*q + 0 = 0. What is q?
-2, 0, 1, 29
Suppose -152*y**2 - 2/19 - 8*y = 0. What is y?
-1/38
Let l(u) be the first derivative of 243*u**5/10 - 1269*u**4/4 - 246*u**3 - 51*u**2/2 + 33*u/2 - 2337. Suppose l(o) = 0. What is o?
-1/3, 1/9, 11
Let v = 507271 + -507269. Find k, given that -2/3*k**3 - 10/3*k + 4 - 32/9*k**v = 0.
-3, 2/3
Let x = 5549/36023 + -7/36023. Determine v, given that 54/13*v + 28/13 - x*v**3 + 24/13*v**2 = 0.
-1, 14
Let u(r) be the second derivative of 5*r**4/12 + 1445*r**3/3 + 417605*r**2/2 + 19*r - 9. Let u(d) = 0. What is d?
-289
Let r(l) = 14*l + 8. Let d be r(-1). Let i(u) = -u**3 - u**2 + 30*u + 2. Let j be i(d). Determine w so that 12/5 - 2/15*w**3 + 16/15*w**j - 14/5*w = 0.
2, 3
Let i(s) be the first derivative of -s**4/2 + 10*s**3/3 + 6*s**2 - 1063. What is y in i(y) = 0?
-1, 0, 6
Suppose 61*z - 58*z + 2*u = 16, -5*z + 5 = -u. Solve 1/5*a**4 + 0 - 1/5*a**z + 0*a + 0*a**3 = 0 for a.
-1, 0, 1
Let r(a) be the first derivative of -a**7/420 + a**6/80 - a**5/60 + 42*a**2 + 107. Let f(z) be the second derivative of r(z). Determine b, given that f(b) = 0.
0, 1, 2
Let t(z) be the first derivative of z**6/24 + 59*z**5/20 - 15*z**4/4 + 7943. Factor t(w).
w**3*(w - 1)*(w + 60)/4
Factor 10*p**3 + 14*p**2 - 10458*p + 10150*p - 320 - 8*p**3.
2*(p - 10)*(p + 1)*(p + 16)
Let s(a) be the second derivative of -95*a - 1/5*a**5 + 0 + 32/3*a**3 + 40*a**2 + 1/3*a**4. Solve s(n) = 0 for n.
-2, 5
Let n = 87 + -427/5. Suppose 13*h + 9 = 16*h, 2*x - 4*h = -8. Factor -12/5*o**3 - 24/5*o - 26/5*o**x - n - 2/5*o**4.
-2*(o + 1)**2*(o + 2)**2/5
Suppose 3*k + 1221 = 1218. Let q be -6 - (k - (-104)/(-8)). Determine p so that 40 + 2/5*p**2 - q*p = 0.
10
Let p(i) be the second derivative of -i**7/504 + 7*i**6/144 + i**5/3 - 7*i**4/12 + i**3/3 + 67*i. Let o(h) be the third derivative of p(h). Factor o(k).
-5*(k - 8)*(k + 1)
Let w(t) be the second derivative of -t**4/12 + 7*t**3/6 + 30*t**2 + 776*t. Solve w(p) = 0.
-5, 12
Let l be (-3)/(21/70)*(-1)/2. Factor l*v**2 - 1251 + 1251.
5*v**2
Let d(j) be the third derivative of 7/15*j**5 - 14/3*j**3 - 3*j**2 + 9 + 1/30*j**6 + 0*j - 1/6*j**4. Factor d(u).
4*(u - 1)*(u + 1)*(u + 7)
Let m(l) be the first derivative of 9*l**6/2 + 72*l**5/5 - 6*l**4 - 32*l**3 + 24*l**2 + 3107. Let m(y) = 0. What is y?
-2, 0, 2/3
Determine g so that -4/5*g**2 - 3477780 - 3336*g = 0.
-2085
Solve 863*u**2 + 3051*u - 861*u**2 + 2668050 + 1569*u = 0 for u.
-1155
Let q(b) be the third derivative of 2*b**7/35 - 16*b**6/15 + 71*b**5/15 - 29*b**4/3 + 32*b**3/3 - 205*b**2 - b. Suppose q(t) = 0. Calculate t.
2/3, 1, 8
Let x = 36470 + -36468. What is h in -3/4*h**4 + 19/4