?
1/4, 1
Let k(f) = -6*f + 24*f - 9*f**2 + 50 + f. Suppose 6*i = -4*h + 5*i + 4, 5*h - 2*i = 5. Let x(m) = m**2 - m. Let d(g) = h*k(g) + 4*x(g). Factor d(s).
-5*(s - 5)*(s + 2)
Suppose 3*q = -5*t + 11, 5*q = 18*t - 15*t - 27. Let m(p) be the second derivative of -1/4*p**t - 96*p**2 + 0 - 19*p - 8*p**3. Factor m(w).
-3*(w + 8)**2
Let u(n) be the third derivative of -3/8*n**4 + 0*n**3 - 1/20*n**5 + 3*n**2 + 0 + 16*n. Factor u(t).
-3*t*(t + 3)
Let k = -7 + -19. Let w = 30 + k. Let -j**3 + 5*j**2 - 5*j - 4*j**4 - 3*j**w + 2*j**4 + 6*j**3 = 0. Calculate j.
-1, 0, 1
Let c(s) be the second derivative of 1/12*s**4 - 5/4*s**2 - 23 + 4/3*s**3 + 3*s + 1/20*s**6 - 2/5*s**5. Solve c(w) = 0 for w.
-1, 1/3, 1, 5
Let w(c) be the first derivative of -7/26*c**4 - 2/65*c**5 + 0*c**2 + 74 - 4/13*c**3 + 0*c. Factor w(k).
-2*k**2*(k + 1)*(k + 6)/13
Let o = -12560 - -37256/3. Let p = -140 - o. Factor -4/3*h**4 - p*h + 8/3*h**3 - 4/3 + 8/3*h**2 - 4/3*h**5.
-4*(h - 1)**2*(h + 1)**3/3
Suppose q - n + 435 = -2*n, -3*n + 2215 = -5*q. Let v = q + 881/2. Factor 0 - v*h**2 - 5/2*h.
-h*(h + 5)/2
Let 0 - 172/11*r + 254/11*r**2 - 80/11*r**3 - 2/11*r**4 = 0. What is r?
-43, 0, 1, 2
Factor 8*n**2 + 103*n + 294 - 9*n**2 + 47*n - 5*n.
-(n - 147)*(n + 2)
Let z(s) = -18*s - 6. Suppose -182 = -5*j - 192. Let t be z(j). Solve t + 0*v - 25*v**5 + 150*v**3 - 28*v**2 - 5*v - 10*v**4 - 112*v**2 = 0 for v.
-3, -2/5, 1
Let r be (-4)/42 + 5588/462. Suppose -3*w = 4*y - 2*y - 6, -2*w + r = 4*y. Suppose -2/9*j**3 + w - 8/9*j**2 - 2/3*j = 0. What is j?
-3, -1, 0
Suppose -f = -19*r + 20*r + 103, 2*r + 215 = -5*f. Let i = 113 + r. Suppose -11*v**4 + i*v**3 + 10*v**4 - 14*v**3 + 2*v**2 = 0. What is v?
-2, 0, 1
Let g(j) = 5*j**3 - 41*j**2 + 88*j - 34. Let p(o) = -9*o**3 + 83*o**2 - 174*o + 70. Let c(w) = 5*g(w) + 3*p(w). Let c(u) = 0. Calculate u.
1, 20
Let d(b) be the third derivative of 2*b**7/105 + 1049*b**6/30 + 275624*b**5/15 + 137288*b**4/3 - 84*b**2 + b + 4. Factor d(h).
4*h*(h + 1)*(h + 524)**2
Solve -131*b + 15*b - 5749 + 2385 - b**2 = 0 for b.
-58
Let v(c) be the third derivative of c**8/1344 + 29*c**7/420 - c**6/80 - 17*c**5/12 + 461*c**4/96 - 29*c**3/4 - 38*c**2 + c. Factor v(r).
(r - 1)**3*(r + 3)*(r + 58)/4
Let t(c) be the second derivative of -c**6/285 + 67*c**5/190 - 11*c**4/19 - 6*c - 29. Factor t(b).
-2*b**2*(b - 66)*(b - 1)/19
Let c(x) be the second derivative of -x**4/4 + 1577*x**3/2 - 2364*x**2 + 8049*x. Factor c(m).
-3*(m - 1576)*(m - 1)
Let r(a) = 4*a**5 + 96*a**4 + 566*a**3 - 10*a. Suppose -5*j - 3 = 17, k + 17 = -4*j. Let l(c) = -c**3 - c. Let p(z) = k*r(z) + 10*l(z). Factor p(y).
-4*y**3*(y + 12)**2
Factor 13 + 68 - 43*u - 5*u**2 + 23*u + 44 - 100*u.
-5*(u - 1)*(u + 25)
Let q(y) = y**3 - 9*y**2 - 22*y + 2. Let z be q(11). Factor -3*r**2 + 90 - 3654*r + 0*r**2 + 3639*r - 2*r**z.
-5*(r - 3)*(r + 6)
Let h = -169363 + 169366. Factor 8/7 + 506/7*l**2 + 14*l**4 - 120/7*l - 60*l**h.
2*(l - 2)**2*(7*l - 1)**2/7
Let i(z) = -12*z**3 + 84*z**2 - 641*z - 717. Let a(p) = -5*p**3 + 41*p**2 - 321*p - 359. Let o(f) = -10*a(f) + 4*i(f). Find h, given that o(h) = 0.
-1, 19
Let h = 1770 - 1780. Let u be (-648)/(-30) - h/15*-9. Factor 0 + 24/5*s - u*s**2 + 12*s**3.
6*s*(2*s - 1)*(5*s - 4)/5
Determine y so that -856*y**2 + 1610*y + 2385 + 861*y**2 + 780*y = 0.
-477, -1
Determine u, given that -2343*u - 2*u**2 + 50 + 4667*u + 34 - 2346*u = 0.
-14, 3
Let d(q) be the first derivative of -q**6/51 - 22*q**5/85 - 4*q**4/17 + 40*q**3/51 - 529. Determine y so that d(y) = 0.
-10, -2, 0, 1
Let a = -148 + 171. Suppose 2*x + 2 = -4*y, -4*y + 2*x = -x - a. Let 1/3*g**3 + 0*g + 1/3*g**4 - 1/3*g**y - 1/3*g**5 + 0 = 0. What is g?
-1, 0, 1
Let q(p) be the third derivative of 0*p**4 + 2/75*p**5 + 0*p**3 - 1/300*p**6 + 39*p**2 + 0*p + 0. Factor q(x).
-2*x**2*(x - 4)/5
Let n(k) = -k - 3. Let t be n(-5). Suppose 3*h + 7 = -5*j, -3*h + 2*h + 4*j + 26 = 0. Factor 2*c - c**2 - h + 11 - t.
-(c - 3)*(c + 1)
Let l(k) be the third derivative of -k**5/80 + 251*k**4/8 - 63001*k**3/2 + 2212*k**2. Find x, given that l(x) = 0.
502
Let h(w) = -7*w**4 - 74*w**3 + 84*w**2 - 122*w + 23. Let n(v) = -3*v**4 - 30*v**3 + 33*v**2 - 49*v + 9. Let d(g) = 5*h(g) - 12*n(g). Factor d(k).
(k - 7)*(k - 1)**3
Let n(u) be the first derivative of 1/6*u**6 + 1081/4*u**4 + 5660/3*u**3 + 58/5*u**5 - 64 + 8000*u - 7400*u**2. Factor n(i).
(i - 1)**2*(i + 20)**3
Let p(v) = 116*v + 20. Let s be p(-10). Let m be (-2)/5 + (-1786)/s. Solve m*b**4 - 2/3 - 10/3*b + 1/3*b**3 - 7/2*b**2 = 0.
-1, -2/7, 2
Let r be 60/(-50)*35/(-14). Let i(s) be the third derivative of 1/9*s**4 + 0 - 13*s**2 - 4/9*s**r + 0*s + 1/90*s**5 - 1/180*s**6. Let i(w) = 0. What is w?
-2, 1, 2
Determine b, given that 65 + 12 - b**3 - 57*b - 69*b - 23 + 22*b**2 + 51*b = 0.
1, 3, 18
Let h(o) be the third derivative of -o**7/2160 + o**6/480 - o**5/360 + o**4/4 - o**3 - 112*o**2. Let x(w) be the second derivative of h(w). Factor x(z).
-(z - 1)*(7*z - 2)/6
Let n(u) be the third derivative of 0*u**3 + 0 + 1/840*u**6 + 3/28*u**4 + 11/420*u**5 + 0*u + 106*u**2. Factor n(a).
a*(a + 2)*(a + 9)/7
Suppose -12*i + 15*i = -5*f + 65, -4*f = 4*i - 60. Let l be (-12)/f*(-4)/(32/10). Factor -9/4 + l*q + 3/4*q**2.
3*(q - 1)*(q + 3)/4
Solve 10/11*m**2 + 0 - 2/11*m**4 + 4/11*m**3 - 12/11*m = 0.
-2, 0, 1, 3
Let w(c) be the third derivative of c**6/24 - c**5/12 - 205*c**4/12 - 200*c**3/3 - 5615*c**2. Determine o, given that w(o) = 0.
-8, -1, 10
Let f(u) be the first derivative of -u**4/9 + 16*u**3/27 + 170*u**2/9 - 352*u/9 + 3598. Factor f(t).
-4*(t - 11)*(t - 1)*(t + 8)/9
Let y(o) be the first derivative of o**6/18 - 35*o**5/3 - o**4/3 + 700*o**3/9 + 4484. Determine i so that y(i) = 0.
-2, 0, 2, 175
Suppose 2*l = -2*a - 938, -5*a + 471 = -2*l + 2816. Let w = a - -469. Factor -2/3*b**3 - 2/9*b - 2/9*b**4 - 2/3*b**2 + w.
-2*b*(b + 1)**3/9
Let p = 3437/2 - 1962. Let b = 251 + p. Determine m, given that b*m**2 - 9/2*m - 3/2*m**3 - 27/2 = 0.
-1, 3
Let u(x) be the first derivative of -2/5*x**5 - 1/2*x**4 + 4/3*x**3 + 0*x**2 - 125 + 0*x. Factor u(z).
-2*z**2*(z - 1)*(z + 2)
Determine w, given that 1/4*w**2 - 9*w + 299/4 = 0.
13, 23
Suppose 7 - 1 = 2*a. Let h = -413 - -415. Let j(u) = -12*u**2 - 24*u - 12. Let w(o) = -o**3 + 11*o**2 + 25*o + 13. Let n(l) = a*w(l) + h*j(l). Factor n(k).
-3*(k - 5)*(k + 1)**2
Let l(v) = -50*v**2 - 398*v + 16. Let a be l(-8). Factor 17/6*z**3 + 21/2*z**2 + a + 1/6*z**4 - 27/2*z.
z*(z - 1)*(z + 9)**2/6
Let u(k) be the second derivative of -5*k**7/14 - 103*k**6/30 - 49*k**5/5 - 23*k**4/3 + 8*k**3/3 - 8*k - 3. Let u(f) = 0. Calculate f.
-4, -2, -1, 0, 2/15
Let n be (12320/4158 - (4 + -1))/(5/(-15)). Find o such that 1/9*o**3 + 0*o + 7/9*o**2 - n*o**5 - 4/9 - 1/3*o**4 = 0.
-2, -1, 1
Let b(t) be the third derivative of -t**5/20 + 28*t**4 - 223*t**3/2 - 8*t**2 - 19*t. Factor b(i).
-3*(i - 223)*(i - 1)
Let f be (2 + 8/(-6))/(10/375). Factor 40*g**2 + 7*g**3 + 15*g + f*g - 52*g.
g*(g + 6)*(7*g - 2)
Factor -50224 + 32*j**3 + 50324 + 23*j**2 + 4*j**4 + j**2 - 160*j.
4*(j - 1)**2*(j + 5)**2
Let 19*d**2 + 17*d + 60*d - 29*d + 8*d**2 = 0. Calculate d.
-16/9, 0
Let y be (-23586)/(-18) + (48/(-18))/2. Let f = y - 22245/17. Determine j, given that 0*j - f*j**2 + 8/17*j**3 - 2/17*j**4 + 0 = 0.
0, 2
Factor -96*k**3 - 39*k - 30*k**4 - 24*k**4 + 50*k**4 + 23*k + 4*k**2 + 112*k.
-4*k*(k - 1)*(k + 1)*(k + 24)
Suppose -l - 2*l + 291 = 0. Let b = -87 + l. Find r such that 5*r**2 + b*r + 5*r - 10 + 10 = 0.
-3, 0
Let c(q) = 2*q**3 + 262*q**2 - 804*q + 26. Let u(f) = f**3 + 131*f**2 - 402*f + 12. Let b(j) = 6*c(j) - 13*u(j). Factor b(h).
-h*(h - 3)*(h + 134)
Let p(v) = v**2 + 655*v + 4. Let o(d) = -3*d**2 - 1311*d - 9. Let z(h) = 4*o(h) + 9*p(h). Factor z(u).
-3*u*(u - 217)
Let d(y) be the first derivative of y**5 - 75*y**4/4 + 15*y**3 + 335*y**2/2 + 210*y + 2788. Factor d(c).
5*(c - 14)*(c - 3)*(c + 1)**2
Let r(l) = -19*l**3 + 148*l**2 + 317*l - 453. Let u(i) = 120*i**3 - 936*i**2 - 2008*i + 2868. Let q(w) = -44*r(w) - 7*u(w). Factor q(t).
-4*(t - 12)*(t - 1)*(t + 3)
Let u(v) be the second derivative of -v**7/160 - 31*v**6/480 - v**5/4 - 3*v**4/8 + 8*v**3 - 98*v. Let q(g) be the second derivative of u(g). Factor q(p).
-3*(p + 2)**2*(7*p + 3)/4
Let l = -365 - -429. Factor -230*o + 613*o - 975*o + 145*o**2 - 