0*y**2 + 212*y. Determine f so that o(f) = 0.
50
Let c(j) = j**2 - 18*j - 95. Let g be c(22). Let q be (-24)/(-84) - 12/g. Suppose -q*f**3 + 2/5*f**4 + 2*f - 8/5 + 6/5*f**2 = 0. Calculate f.
-1, 1, 4
Let x(d) be the third derivative of d**6/200 + 57*d**5/10 + 5415*d**4/2 + 685900*d**3 - 209*d**2. Factor x(m).
3*(m + 190)**3/5
Let 11*j**2 - 344*j**3 + 29*j**2 + 25*j**5 + 90*j**4 + 454*j**3 - 10 - 15*j = 0. What is j?
-1, 2/5
Let w(l) be the third derivative of l**5/180 - 10*l**4/9 - 9*l**3/2 - 377*l**2. Let w(y) = 0. Calculate y.
-1, 81
Suppose -2/11*z**3 + 14/11*z**2 - 32/11 + 20/11*z = 0. What is z?
-2, 1, 8
Let x(z) = 2*z**2 + 276*z + 274. Let k(g) = g**2 + 92*g + 91. Let s(p) = 10*k(p) - 3*x(p). Let s(q) = 0. What is q?
-22, -1
Let c(b) be the third derivative of -b**5/40 - 19*b**4/8 - 18*b**3 - 717*b**2. Determine o, given that c(o) = 0.
-36, -2
Let d(w) be the second derivative of w**4/48 - 3*w**3/8 + w + 1. Factor d(h).
h*(h - 9)/4
Let b(o) be the third derivative of o**7/1575 + o**6/450 - 13*o**5/450 - 7*o**4/90 + 8*o**3/15 + 173*o**2. Find f, given that b(f) = 0.
-4, -2, 1, 3
Let j(o) be the third derivative of -1156*o**7/735 + 17*o**6/35 - 3*o**5/70 + 236*o**2. Factor j(u).
-2*u**2*(34*u - 3)**2/7
Let h(r) = 272*r + 818. Let f be h(-3). Let g(y) be the second derivative of -y**3 + 0 + 0*y**f - 3/8*y**5 + y**4 + 1/20*y**6 + 10*y. Factor g(k).
3*k*(k - 2)**2*(k - 1)/2
Let y(q) be the first derivative of 2/3*q**3 - 2/5*q**5 + 1/8*q**6 + 3/8*q**2 + 0*q - 3/8*q**4 + 21. Find a, given that y(a) = 0.
-1, -1/3, 0, 1, 3
Let c(b) = -b**2 - 3*b + 62. Let g be c(-9). Suppose -33*m + 37*m - g = 0. Solve -4/7*a**m + 12/7*a - 8/7 = 0 for a.
1, 2
Let k = -1734/5 + 348. Let i(f) be the first derivative of -7/2*f**4 - 4 + 3*f**2 + k*f**5 - 4*f + 2*f**3. Factor i(h).
2*(h - 1)**3*(3*h + 2)
Let w(h) be the third derivative of -h**6/600 + 2*h**5/75 + 212*h**2. Factor w(v).
-v**2*(v - 8)/5
Let f(w) = -11*w**3 + 445*w**2 - 8203*w - 8659. Let c(j) = -27*j**3 + 1113*j**2 - 20508*j - 21648. Let l(k) = 5*c(k) - 12*f(k). Find g, given that l(g) = 0.
-1, 38
Let u(a) = 10*a**2 - 17*a. Let i(z) be the first derivative of 5*z**3/3 - 4*z**2 + 25. Let q(t) = -7*i(t) + 3*u(t). Factor q(o).
-5*o*(o - 1)
Suppose y + 5*a - 22 = -9, -4*a - 1 = -3*y. Let x(v) be the third derivative of 0*v - 1/48*v**4 + 0 - 1/24*v**5 + 6*v**2 + 1/6*v**y - 1/120*v**6. Factor x(t).
-(t + 1)*(t + 2)*(2*t - 1)/2
Find y, given that -35*y**4 + 7*y**2 + 42*y**4 + 48*y**3 + 39*y**2 - 5*y**4 = 0.
-23, -1, 0
Let l = -203 - -205. Let t(v) be the first derivative of -4/3*v**3 + 4*v + 4 - 1/3*v**6 + 0*v**5 + 2*v**4 - 3*v**l. Factor t(o).
-2*(o - 1)**3*(o + 1)*(o + 2)
Factor -3136/3 - 1/3*x**2 + 112/3*x.
-(x - 56)**2/3
Let q(y) be the second derivative of y**5/35 - 67*y**4/21 + 110*y**3 - 2178*y**2/7 - 215*y. Find i, given that q(i) = 0.
1, 33
Find m, given that -70/9*m + 8 - 2/9*m**2 = 0.
-36, 1
Let y = -24 + 26. Let t(p) be the first derivative of 1/8*p**4 - 1/2*p**3 + 2*p - 4 + 0*p**y. Solve t(o) = 0.
-1, 2
Solve 92/3*x + 2116/3 + 1/3*x**2 = 0 for x.
-46
Suppose 13*z = -2058 - 14283. Let f = z - -6313/5. Let -49/5*q**2 - f*q - 4/5 = 0. Calculate q.
-2/7
Let v(b) be the third derivative of -b**8/168 - b**7/35 + b**6/60 + b**5/10 + b**2 - 13. Solve v(s) = 0 for s.
-3, -1, 0, 1
Let v(c) be the first derivative of -c**4/3 + 68*c**3/9 + 39. Factor v(q).
-4*q**2*(q - 17)/3
Let o(a) = a**2 - 5*a - 230. Let h be o(-13). Let n(g) be the second derivative of 1/150*g**5 + 0*g**2 + 0 - 6*g + 1/45*g**3 - 1/45*g**h. Factor n(d).
2*d*(d - 1)**2/15
Let z(a) be the second derivative of a**5/30 + a**4/6 - 4*a**3/9 - 4*a**2 - 498*a. Solve z(b) = 0.
-3, -2, 2
Let s(u) be the first derivative of -u**4 + 4/3*u**3 + 0*u + 5 + 0*u**2 + 2/3*u**6 - 4/5*u**5. Solve s(d) = 0.
-1, 0, 1
Let c(s) = -20*s**4 - 13*s**3 + 15*s**2 + 7*s + 8. Let d(b) = -2*b**4 - b**3 + b**2 - b. Let n(y) = 2*c(y) - 18*d(y). Factor n(r).
-4*(r - 2)*(r + 1)**2*(r + 2)
Let v = -603/259 + 102/37. Solve 4/7*b**3 + 0 - 1/7*b - v*b**2 = 0 for b.
-1/4, 0, 1
Let t(f) be the first derivative of 1/60*f**5 - 5*f + 1/36*f**4 - 1/6*f**2 - 1/18*f**3 + 3. Let j(k) be the first derivative of t(k). Factor j(s).
(s - 1)*(s + 1)**2/3
Let u(w) be the second derivative of -w**8/10080 + w**7/1890 + w**6/360 + 25*w**4/12 - 20*w. Let b(h) be the third derivative of u(h). Factor b(z).
-2*z*(z - 3)*(z + 1)/3
Let t(j) be the second derivative of -j**7/1680 + j**6/80 - 25*j**4/12 - 33*j. Let w(p) be the third derivative of t(p). Determine s so that w(s) = 0.
0, 6
Let c(s) be the first derivative of s**6/27 + 28*s**5/45 + 49*s**4/18 - 260. Factor c(b).
2*b**3*(b + 7)**2/9
Suppose y - 21 + 2 = -j, 2*y - 70 = -4*j. Let x = -12 + j. Let 0*s**2 - 7 - 5*s**2 + 11 + x*s**2 = 0. What is s?
-2, 2
Let u(b) be the second derivative of 7*b**4/3 + 2*b**3/3 - 18*b - 1. Factor u(k).
4*k*(7*k + 1)
Let b(t) = 2*t**3 + t**2 - t + 1. Let c(f) = 2*f**3 - 18*f**2 - 36*f - 14. Let i(k) = 2*b(k) - c(k). Suppose i(y) = 0. Calculate y.
-8, -1
Let m(s) be the third derivative of 5*s**8/224 - s**7/42 - 5*s**6/12 + s**5/3 + 10*s**4/3 + 54*s**2 - 1. Let m(g) = 0. What is g?
-2, -4/3, 0, 2
Let g = 463 - 458. Let w(u) be the third derivative of -1/9*u**4 - 4*u**2 + 0 + 1/135*u**6 + 0*u + 1/3*u**3 + 1/945*u**7 - 1/135*u**g. Factor w(k).
2*(k - 1)**2*(k + 3)**2/9
Suppose 0 = -5*d + 59 + 81. Solve -2*i**4 - 3*i**2 + 13*i**2 + d*i - 46*i**2 - 2*i**4 + 20*i**3 - 8 = 0 for i.
1, 2
Suppose y = 4*b - 18, 5*y - 5 = -0*y + b. Factor -14*j**4 + 62*j - 62*j + 8*j**5 + 4*j**3 + 2*j**y.
2*j**2*(j - 1)**2*(4*j + 1)
Let o = -6426 + 6426. Factor 2/3*f**5 + 0 + 10/3*f**3 + o*f - 4/3*f**2 - 8/3*f**4.
2*f**2*(f - 2)*(f - 1)**2/3
Let z be -8 + 75/10 + 26/4 + -2. Factor 8/3*p**z + 7/3*p**3 + 0*p + 0 + p**5 + 2/3*p**2.
p**2*(p + 1)**2*(3*p + 2)/3
Let t(j) be the second derivative of -j**6/30 - j**5/10 + 5*j**4/12 + j**3 + 28*j + 2. Solve t(z) = 0.
-3, -1, 0, 2
Let b(u) be the second derivative of -u**5/25 + 13*u**4/5 + 16*u**3/3 + 530*u. Let b(k) = 0. What is k?
-1, 0, 40
Let s(o) be the first derivative of 3*o**5/10 + 13*o**4/8 - 13*o**3/4 - 3*o**2 - 13*o + 22. Let u(c) be the first derivative of s(c). Solve u(v) = 0 for v.
-4, -1/4, 1
Let n be ((-4)/(-50))/((-27)/135*(-3)/12). Factor 4/5*p**2 - 6/5 + 2/5*p**4 + n*p - 8/5*p**3.
2*(p - 3)*(p - 1)**2*(p + 1)/5
Let w(h) be the third derivative of 1/90*h**6 + 1/180*h**5 - 1/18*h**3 - 3 + 0*h - 5*h**2 - 1/18*h**4. Factor w(u).
(u - 1)*(u + 1)*(4*u + 1)/3
Let t(c) be the first derivative of 2*c**3/15 + 87*c**2/5 - 356*c/5 + 261. Solve t(g) = 0.
-89, 2
Let u be 2/(-4) - (7/(-1) - (-13)/2). Factor 0 + u*g + 4/19*g**2 + 6/19*g**3 + 2/19*g**4.
2*g**2*(g + 1)*(g + 2)/19
Factor 2/5*k**2 + 0 + 2/5*k.
2*k*(k + 1)/5
Suppose b - 5 = -5. Let s(t) = -t**2 - t + 3. Let d be s(b). Factor 0 + 1/4*p**4 - 1/4*p**d + 1/4*p - 1/4*p**2.
p*(p - 1)**2*(p + 1)/4
Let m be 6/105*5*28. Factor 13*f**2 + 5 - 16*f**2 - 10*f + m*f**2.
5*(f - 1)**2
Let w(p) be the third derivative of p**9/15120 - p**7/1260 - p**5/12 - 9*p**2. Let q(u) be the third derivative of w(u). Factor q(b).
4*b*(b - 1)*(b + 1)
Let w(k) = -10*k**2 - 18*k. Let s(d) = 4*d**2 + 10*d. Let b(h) = 7*s(h) + 3*w(h). Suppose b(l) = 0. What is l?
0, 8
Let j(d) be the first derivative of 0*d**5 + 1/900*d**6 - 1/15*d**4 + 0*d - 2*d**3 + 0*d**2 + 8. Let v(h) be the third derivative of j(h). Factor v(u).
2*(u - 2)*(u + 2)/5
Solve -7220 + 98*j**2 + 5951*j - 151*j**2 + 428*j**2 + 889*j + 5*j**3 = 0.
-38, 1
Suppose -y - r + 1 = -13, -4*r + 8 = 0. Let c be 14/y + (-4)/6. Determine a, given that -c*a**4 + 0 + 1/3*a - 2/3*a**3 + 1/6*a**2 = 0.
-1, 0, 2/3
Let s(p) be the first derivative of -p**3/3 - 135*p**2/2 - 134*p + 908. Determine i so that s(i) = 0.
-134, -1
Let q(h) = -2*h + 30. Let d be q(14). Factor 2*b**2 + b**2 + b**2 - b**d.
3*b**2
Let q(b) = -6*b**2 + 5*b - 12. Let v be q(6). Let n = v + 423/2. Factor 18*m**2 - 27/4 - n*m + 3/4*m**4 - 13/2*m**3.
(m - 3)**3*(3*m + 1)/4
Suppose 0 = -4*b - 2*i + 28, 4*b = 25*i - 22*i + 8. Let q(u) be the first derivative of 3 - 3*u**4 - u**2 - 1/3*u**6 + 8/5*u**b + 8/3*u**3 + 0*u. Factor q(k).
-2*k*(k - 1)**4
Let g(m) be the third derivative of -m**9/128520 + m**7/21420 - 11*m**4/6 + 2*m**2 - m. Let c(f) be the second de