olve h(f) = 0 for f.
-26, 0
Factor 4/3*k**3 + 0*k**2 + 2/3*k**4 + 0 + 0*k.
2*k**3*(k + 2)/3
Let q(l) = 7*l**3 - 1402*l**2 - 2863*l - 1340. Let g(x) = x**3 - 234*x**2 - 477*x - 224. Let p(j) = 19*g(j) - 3*q(j). Suppose p(f) = 0. Calculate f.
-118, -1
Let i(n) be the first derivative of n**4/2 + 4882*n**3 + 17875443*n**2 + 29089304242*n - 6488. Factor i(s).
2*(s + 2441)**3
Let o(v) be the third derivative of -v**6/96 + 29*v**5/240 - 13*v**4/32 - 3*v**3/8 + 4049*v**2. Find h such that o(h) = 0.
-1/5, 3
Let g = 309 - 288. Find l, given that 27*l**4 - 5*l**4 - l**2 - g*l**4 = 0.
-1, 0, 1
Suppose -3*q + q = -6, -3*z - 3*q = -42. Let m(b) be the first derivative of -z + 5/2*b**2 - 5/4*b**4 + 10*b - 25/3*b**3 + 3*b**5. Factor m(k).
5*(k - 1)**2*(k + 1)*(3*k + 2)
Let a(w) = -2*w**3 - 30*w**2 - 6*w + 5*w + 29*w**2 - 1. Let k(d) = -7*d**3 - 20*d**2 + 4*d + 22. Let q(p) = 5*a(p) - k(p). Factor q(y).
-3*(y - 3)**2*(y + 1)
Let g(f) be the third derivative of f**5/60 - f**4/12 - 9*f**3 + f**2 - 61. Let y be g(-7). Suppose -27 - 3/4*i**2 + y*i = 0. Calculate i.
6
Let o(w) = 90*w + 14582. Let s be o(-162). Suppose -2*p + 20 = p + 5*v, 4*v = p + 16. Factor 6/11*k**s - 8/11 - 2/11*k**3 + p*k.
-2*(k - 2)**2*(k + 1)/11
Let d(o) be the first derivative of 7*o**5/5 + o**4/2 - 5*o**3/3 + 2031. Let d(g) = 0. Calculate g.
-1, 0, 5/7
Let n = 4651/65 - 407/5. Let b = n - -10. Find c, given that -12/13 - b*c**3 + 14/13*c**2 + 2/13*c - 2/13*c**4 = 0.
-3, -1, 1, 2
Let m(s) be the third derivative of s**8/1680 + s**7/210 + s**6/60 + s**5/30 - 61*s**4/24 - 5*s**2 - 2. Let h(j) be the second derivative of m(j). Factor h(l).
4*(l + 1)**3
Suppose -s + 2*k = -334 - 949, 3*k - 3831 = -3*s. Let m = s - 5115/4. Find l such that 0 - 1/4*l**3 - m*l**2 + 1/2*l = 0.
-2, 0, 1
Let u(i) be the first derivative of -i**4/32 - 5*i**3/2 + 123*i**2/16 + 273*i + 11. Let n(z) be the first derivative of u(z). Suppose n(x) = 0. What is x?
-41, 1
Let z(r) = -30*r + 152. Let q be (-4 + (-110)/10)/(-3). Let u be z(q). Factor -10*i + 35/4 + 5/4*i**u.
5*(i - 7)*(i - 1)/4
Let g(f) be the third derivative of f**6/120 - 7*f**5/40 + 3*f**4/2 + 10*f**3 + 65*f**2. Let v(p) be the first derivative of g(p). Solve v(c) = 0.
3, 4
Let b be ((-966)/252)/(-23)*3. Determine y, given that 2*y**5 - 7/2*y**4 + 0 + b*y**2 + y**3 + 0*y = 0.
-1/4, 0, 1
Let a(n) = -n + 23. Let p be a(17). Let -6*t**3 + 327*t**4 - 645*t**4 - 3 + p*t + 321*t**4 = 0. Calculate t.
-1, 1
Let r = -510 - -218. Let f = r - -294. Factor 3/2*t**f + 3 + 9/2*t.
3*(t + 1)*(t + 2)/2
Factor -75*q**3 + 39*q - 75*q**3 + 13*q**3 - 233*q**2 + 131*q**3.
-q*(q + 39)*(6*q - 1)
Let 13/3*r**2 - 1 + 7/3*r**3 - 7/3*r - 10/3*r**4 = 0. What is r?
-1, -3/10, 1
Suppose 1551 + 1497 = -12*p. Let h = 257 + p. Let 6/13*q**2 - 8/13*q - 2/13*q**4 - 8/13 + 4/13*q**h = 0. Calculate q.
-1, 2
Let t(g) = g**3 - 13*g**2 - 1294*g + 6674. Let w be t(5). Suppose c - 9 - 3 = 0. What is y in -216/7*y**3 + 9/7 + 48/7*y**w + 243/7*y**2 - c*y = 0?
1/4, 1, 3
Suppose 2/3*y**2 - 4/3*y - 448/3 = 0. What is y?
-14, 16
Let x(s) be the third derivative of -31/12*s**5 + 75/2*s**3 - 1/4*s**6 - 5*s**4 + 0 + 0*s + 90*s**2. Solve x(q) = 0 for q.
-3, 5/6
Let n be (30/(-9) - -2)/((-10)/(-15)). Let b be 3/3 + (3 + n - 0). What is v in 6 + 10*v**3 - 8*v - 2*v**4 - 88*v**b + 76*v**2 + 13 - 3 = 0?
-1, 2
Factor -4/3*b**4 - 1016/3*b**3 + 0*b + 0 + 0*b**2.
-4*b**3*(b + 254)/3
Let g(k) be the second derivative of -2*k**6/15 - 2082*k**5/5 - 361227*k**4 + 375*k + 8. Solve g(n) = 0.
-1041, 0
Let d(q) be the second derivative of -q**4/3 - 676*q**3/3 + 1360*q**2 + 15*q - 93. Factor d(t).
-4*(t - 2)*(t + 340)
Determine z, given that -3/8*z**3 + 441/4 + 447/8*z - 219/4*z**2 = 0.
-147, -1, 2
Let j(i) be the second derivative of -110*i + 0*i**2 - 1/4*i**5 - 1 + 65/12*i**4 - 10*i**3. Factor j(f).
-5*f*(f - 12)*(f - 1)
Let r(q) be the third derivative of 841*q**5/40 + 203*q**4/8 + 49*q**3/4 - 3*q**2 + 122*q + 3. Let r(k) = 0. Calculate k.
-7/29
Let l(t) = -49*t**2 + 2244*t - 1254404. Let n(a) = -12*a**2 + a - 1. Let r(i) = -l(i) + 4*n(i). Factor r(g).
(g - 1120)**2
Suppose 4*j - q - 161 = 212, 0 = 4*j + 4*q - 368. Solve -239*a - j*a**3 - 195*a**2 + 319*a - 179*a + 3*a**4 = 0.
-1, 0, 33
Let s(v) = -v - 1. Suppose w - 3*y - 6 = 0, 0*y + 2 = y. Let x(k) = 2*k**2 + 38*k + 36. Let z(m) = w*s(m) + x(m). Factor z(u).
2*(u + 1)*(u + 12)
Let z be (-155 + 158)*10/6. Let h(c) be the second derivative of -12*c - 1/110*c**z + 1/33*c**3 + 1/66*c**4 - 1/11*c**2 + 0. Let h(k) = 0. What is k?
-1, 1
Find r such that 0*r**3 + 5/3*r**2 + 0*r - 1/3*r**4 - 4/3 = 0.
-2, -1, 1, 2
Let o(g) = -g**2 - 37*g - 198. Let m be o(-6). Let t be (-1)/(0 + m)*75/10. Factor -1/4*x**2 + 3/8*x**4 - t*x**3 + 0 + 0*x.
x**2*(x - 2)*(3*x + 1)/8
Factor 8*a**2 + 11 + 14 - 76*a - 7 - 44*a**4 + 21 + 4*a**5 - 3 + 72*a**3.
4*(a - 9)*(a - 1)**3*(a + 1)
Let g(j) be the second derivative of 25/12*j**4 - 1/4*j**5 + 5/6*j**3 - 25/2*j**2 + 0 - 91*j. Factor g(n).
-5*(n - 5)*(n - 1)*(n + 1)
Let k(u) be the second derivative of u**5/80 + 5*u**4/16 - 125*u**2/2 - 39*u + 9. Find z, given that k(z) = 0.
-10, 5
Let j(w) be the first derivative of w**4 - 96*w**3 + 2592*w**2 - 27648*w - 6362. Determine i so that j(i) = 0.
12, 48
Let p be ((-12)/30)/(4/5)*0. Suppose -c + 3*s + 3 = p, s = -c - s + 3. Factor -8*a**2 + a + 2 + 2*a**c - 6 + 4*a + 5*a.
2*(a - 2)*(a - 1)**2
Factor 2/7*h**2 - 198/7*h - 1040/7.
2*(h - 104)*(h + 5)/7
Let p(u) be the second derivative of 5 - 7*u - 7/27*u**3 - 4/3*u**2 - 1/54*u**4. Find f such that p(f) = 0.
-4, -3
Suppose -4/7*k**4 + 4*k**2 - 8/7*k**3 + 48/7 + 80/7*k = 0. Calculate k.
-2, -1, 3
Let d(c) be the first derivative of 0*c - 2/5*c**2 - 51 - 16/25*c**5 + 7/30*c**6 + 16/15*c**3 - 3/20*c**4. What is w in d(w) = 0?
-1, 0, 2/7, 1, 2
Factor -1/8*f**3 + 205/8*f + 6*f**2 + 39/2.
-(f - 52)*(f + 1)*(f + 3)/8
Let m = -10774 - -10779. Let x(c) be the second derivative of 0*c**2 + 1/18*c**3 + 1/45*c**6 - 15*c + 0 - 1/60*c**m - 1/18*c**4. Factor x(f).
f*(f - 1)*(f + 1)*(2*f - 1)/3
Let f be (-416)/(-10) + ((-6930)/429 - 16/(-104)). Find b, given that f*b - 1/5*b**2 - 4096/5 = 0.
64
Determine y, given that 37310*y + 360*y**2 + 120*y**3 - 12835*y - 972 - 12734*y - 12497*y - 4*y**5 - 28*y**4 = 0.
-9, -3, -1, 3
Let p = -858968153/581685 - 124/44745. Let o = p + 1477. Factor 2/13*t**3 - o*t - 2/13*t**2 + 0.
2*t*(t - 2)*(t + 1)/13
Let j be 248/6 + (-30)/(-18). Suppose 0 = -12*f + j + 5. Factor 0 + 1/6*m**2 - 1/6*m**3 - 1/6*m**f + 1/6*m.
-m*(m - 1)*(m + 1)**2/6
Let l(g) be the first derivative of g**4 - 3992*g**3 + 4334. Factor l(y).
4*y**2*(y - 2994)
What is g in -32/5*g + 88/5*g**2 + 224/5*g**3 + 0 + 122/5*g**4 + 18/5*g**5 = 0?
-4, -2, -1, 0, 2/9
Let b(i) = 12*i - 418. Let h be b(35). Determine g so that 8*g**3 + 11*g**h + 16*g**3 - 23*g**3 = 0.
-11, 0
Let d = -127763/4 + 31952. What is y in 5/4*y**5 + 15/4*y**4 - d*y**3 + 25/4*y**2 + 0*y + 0 = 0?
-5, 0, 1
Suppose 5*o = 7*y - 6*y + 5313, -3*o + 3183 = -3*y. Let k = o + -7437/7. Factor -k + 2*c + 10/7*c**2 - 8/7*c**3.
-2*(c - 2)*(c + 1)*(4*c - 1)/7
Let z(t) = 13*t - 60. Let p be z(5). Suppose q = 119*y - 122*y + 2, 2*y = -p*q + 23. Suppose 0*a + 2/7*a**q + 0 - 4/7*a**4 + 2/7*a**3 + 0*a**2 = 0. What is a?
0, 1
Let r = -13/90 - -1/5. Let z(b) be the third derivative of 0*b**4 + 0 - 1/180*b**5 + 0*b + r*b**3 + 5*b**2. What is k in z(k) = 0?
-1, 1
Let f(l) = 2*l**2 + 151*l - 150. Let j(u) = -15*u**2 - 1210*u + 1200. Let i = 295 + -298. Let s(x) = i*j(x) - 25*f(x). Factor s(m).
-5*(m - 1)*(m + 30)
Suppose -30*b - 12 = -31*b. Factor n**3 + 1 - 11 - 2*n**3 - 14*n**2 + b*n**2 + 13*n.
-(n - 2)*(n - 1)*(n + 5)
Let z(q) be the third derivative of 0*q**3 - q + 2*q**2 + 0 - 7/90*q**5 - 1/12*q**4. Factor z(o).
-2*o*(7*o + 3)/3
Let q = 4785/4 + -1195. Let l(a) be the first derivative of -1080*a + 26 + 270*a**2 - 30*a**3 + q*a**4. Solve l(h) = 0.
6
Let i(q) be the third derivative of 1/360*q**5 - 88*q**2 + 0*q + 0*q**3 + 0 + 1/24*q**4. Factor i(l).
l*(l + 6)/6
Suppose 2*k = -2*t - 2, -6*t - 25 = -9*t + 4*k. Let 8*g + 48 + 3*g**3 - 18*g**2 - 46*g + 6*g**2 - g**t = 0. Calculate g.
-3, 1, 8
Let d(u) be the third derivative of -u**10/756000 + u**8/25200 - 17*u**5/60 - 2*u**2. Let i(n) be the third derivative of d(n). Factor i(y).
-y**2*