*n**4 - 2/105*n**7 + 0 + 0*n**3 + 6/5*n**5 + 0*n. Factor x(f).
2*f*(f - 6)**2*(f + 3)**2/3
Determine p so that 0 + 4/5*p**2 - 72/5*p = 0.
0, 18
Factor 198217024*k + 2044*k**3 - 2052457*k**2 + 335514300*k + 485731*k**2 - 20199594047 - 47984582594 + 2*k**4 - 3*k**4.
-(k - 511)**4
Let g(v) be the first derivative of 1/24*v**4 + 96 - 1/3*v**3 + 0*v + 5/12*v**2. Suppose g(d) = 0. What is d?
0, 1, 5
Let y be 68/(-1360) - 101/(-20). Let b(a) be the third derivative of 0 + 0*a**3 + 0*a + 4*a**2 + 1/108*a**4 + 1/90*a**y. Factor b(x).
2*x*(3*x + 1)/9
Let m(q) be the third derivative of q**5/12 + 1385*q**4/2 + 2301870*q**3 + 2*q**2 + 3*q + 59. Factor m(r).
5*(r + 1662)**2
Let t(k) be the first derivative of -5*k**3/3 + 20115*k**2 - 80922645*k + 10920. Factor t(v).
-5*(v - 4023)**2
Suppose -148/23*x**3 + 2/23*x**4 + 292/23*x + 0 + 142/23*x**2 = 0. What is x?
-1, 0, 2, 73
Suppose 44*t = 40*t + 80. Let u be -1*(-3 - (-44)/t)*5. Solve -16*o - 4 - 28 - u*o**4 + 17*o**2 + 4*o**3 + 7*o**2 = 0.
-2, -1, 2
Factor -21347*h**4 + 24*h**2 + 6*h**3 - 3*h**3 - 36*h + 0*h**3 + 21344*h**4.
-3*h*(h - 2)**2*(h + 3)
Let q(p) be the second derivative of p**6 - 411*p**5/20 + 87*p**4/4 + 53*p**3/2 - 39*p**2/2 - 8*p - 75. Solve q(w) = 0.
-1/2, 1/5, 1, 13
Let c be (-12)/(-4)*(21 - 16/(-8)). Suppose 84 = 73*g - c*g. Factor -3/7*x**2 - g + 6*x.
-3*(x - 7)**2/7
Let s be (9835/5620)/((-7)/(-20)). Factor 6/11*u**4 - 2/11*u**s - 4/11*u**2 - 4/11*u**3 + 6/11*u - 2/11.
-2*(u - 1)**4*(u + 1)/11
Let c(l) be the first derivative of -21 + 144/5*l + 1/15*l**3 - 12/5*l**2. Factor c(a).
(a - 12)**2/5
Let g(m) be the first derivative of 70 - 1/9*m**2 - 2/27*m**3 + 4/9*m. Factor g(q).
-2*(q - 1)*(q + 2)/9
Suppose 16 = -4*z + 64. Let m be 4/16 + 33/z. Factor -17 + 0*a + 1 + 4*a**2 - m*a - 9*a.
4*(a - 4)*(a + 1)
Let r(b) be the second derivative of -b**7/168 - b**6/15 - b**5/20 + 11*b**4/8 + 39*b**3/8 + 27*b**2/4 + 171*b. Find p such that r(p) = 0.
-6, -3, -1, 3
Suppose -75*q + 535 - 4*q**2 + q**2 - 997 = 0. Calculate q.
-14, -11
Suppose 8*d = 5*d + 2*t + 94, 23 = d + t. Factor 89*o + 5*o**2 - 28*o - 33*o - o**3 - d*o.
-o**2*(o - 5)
Let t(c) = c. Let g be 98/126 + 2/9. Let h be t(g). Factor 6*v**2 - v - h - 3*v - 10*v**2.
-(2*v + 1)**2
Let o(a) be the first derivative of -a**5/120 + a**4/4 - 9*a**3/4 + 133*a**2/2 + 77. Let z(w) be the second derivative of o(w). Factor z(i).
-(i - 9)*(i - 3)/2
Let n(m) = -200 - m**2 - 3000 + 6*m**2 - 170*m - 5*m**2 - 7*m**2. Let h(f) = f**2 + 2*f. Let y(v) = 5*h(v) + n(v). Factor y(g).
-2*(g + 40)**2
Let t be (12/1377)/(216/2916). Solve t*y**3 - 46/17*y + 24/17 + 20/17*y**2 = 0 for y.
-12, 1
Let f(r) be the first derivative of 4*r**3/3 + 4*r**2 + 6*r + 90. Let l(d) = d**2 + d + 1. Let h(b) = f(b) - 6*l(b). Factor h(p).
-2*p*(p - 1)
Let y(i) = 2*i**3 - 26*i**2 + 8*i - 74. Let m be y(13). Let p be 304/(-24)*m/(-12). Let -55/3*n**3 - 12*n - p*n**2 + 16/3*n**5 + 8*n**4 - 4/3 = 0. Calculate n.
-2, -1, -1/4, 2
Let i(o) = -20*o**3 + 5*o**2 + 30*o - 20. Let g(w) = -3*w**3 - w**2 + w + 2. Let n(c) = -5*g(c) + i(c). Suppose n(x) = 0. What is x?
-2, 1, 3
Suppose 0 = -30*t + 41*t - 44. What is p in 5*p**4 - t*p + 4*p + 5*p + 43*p**3 + 57*p**2 - 14 = 0?
-7, -1, 2/5
Let l(v) be the first derivative of 5*v**4/4 - 10*v**3/3 - 95*v**2/2 + 100*v + 294. What is w in l(w) = 0?
-4, 1, 5
Let t be (15/(-6))/((-41)/328). Suppose 0 = -3*j + 5*x + 25, -j + 5*x = -t - 5. Factor 14/13*r**3 + j*r + 0 + 4/13*r**2.
2*r**2*(7*r + 2)/13
Let y(i) = -18*i**3 + 27*i**2 - 57*i - 1005. Let r(f) = f**3 + 3*f**2 - 2*f + 1. Let h(x) = 15*r(x) + y(x). Factor h(g).
-3*(g - 22)*(g - 5)*(g + 3)
Let m(j) be the third derivative of -11/3*j**4 - 13/25*j**5 + j**2 + 1/15*j**6 - 121/15*j**3 + 0*j + 6 - 1/525*j**7. What is f in m(f) = 0?
-1, 11
Determine z so that 3/8*z**4 + 14697/8*z**2 + 105/2*z - 105/2*z**3 - 3675/2 = 0.
-1, 1, 70
Let d(i) be the third derivative of -i**7/12600 + i**5/600 + 121*i**4/24 - 142*i**2. Let u(v) be the second derivative of d(v). Factor u(l).
-(l - 1)*(l + 1)/5
Let x = 10852 - 10852. Let j(c) be the third derivative of 0 + 1/15*c**3 + 1/30*c**4 + 20*c**2 + 1/150*c**5 + x*c. Find o such that j(o) = 0.
-1
Let h(j) be the third derivative of -8*j**2 + 0*j - 1/300*j**6 - 19/150*j**5 + 0*j**3 - 17/30*j**4 + 4. Suppose h(n) = 0. Calculate n.
-17, -2, 0
Let y(h) be the first derivative of 3*h + 1/4*h**4 + 5/2*h**3 + 6*h**2 + 22. Let a(z) be the first derivative of y(z). Factor a(n).
3*(n + 1)*(n + 4)
Suppose 160*f = -167*f + 654. Factor -3/7*i**5 + 0*i**f + 0*i + 0 + 0*i**3 + 3/7*i**4.
-3*i**4*(i - 1)/7
Let h(p) be the third derivative of p**5/180 + 17*p**4/24 + 49*p**3/9 - 2*p**2 + 222*p. What is c in h(c) = 0?
-49, -2
Let u(z) be the first derivative of 2*z**6/3 - 144*z**5/5 + 280*z**4 + 1208*z**3 - 3154*z**2 - 8664*z - 1446. Find t such that u(t) = 0.
-3, -1, 2, 19
Let i(u) be the third derivative of u**5/270 - 61*u**4/54 + 3721*u**3/27 - 2*u**2 + 68. Determine c so that i(c) = 0.
61
Let b(z) be the second derivative of 2*z**6/15 - 24*z**5/5 - 17*z**4 - 52*z**3/3 + 1377*z - 2. Determine g, given that b(g) = 0.
-1, 0, 26
Let y = 24/7015 + 837/1403. Factor y*v**2 + 0 - 6/5*v.
3*v*(v - 2)/5
Let h = -56 + 72. Suppose 6*q - 8*q = -h. Let -15 + 12*c**3 + 15 - 4*c**5 - q*c + 4*c**2 - 4*c**4 = 0. Calculate c.
-2, -1, 0, 1
Let o be (150/(-27) - -4)*((-12)/(-10))/((-688)/860). Factor o + 3/2*v + 1/6*v**2.
(v + 2)*(v + 7)/6
Let n(u) be the first derivative of u**4/8 + 23*u**3/6 + 20*u**2 + 38*u + 1949. Factor n(i).
(i + 2)**2*(i + 19)/2
Let j be (-16 + 680/(-10))*(-14)/210. Find w, given that -j*w**3 + 4/5*w**5 + 4/5*w**4 - 4/5*w**2 + 0 + 24/5*w = 0.
-3, -1, 0, 1, 2
Let t = 179 + -173. Let y be ((-9)/t)/((-27)/4). Determine n so that -y*n**2 - 2/9*n + 0 = 0.
-1, 0
Suppose 4*o - 3*s + 5 - 20 = 5, 6*s = -24. Let v = 788 - 7082/9. Factor -2/9*q**3 - v*q**o + 2/9*q**4 - 2/3*q + 0.
2*q*(q - 3)*(q + 1)**2/9
Let f be 30 + (-5*2)/((-10)/80*-16). Let h(l) be the second derivative of 0*l**2 + f*l - 2/3*l**4 + 4/3*l**3 - 3/10*l**5 + 0. Find z such that h(z) = 0.
-2, 0, 2/3
Let u(q) be the first derivative of -q**4/36 + 29*q**3/36 + 5*q**2/4 + 65*q + 128. Let t(k) be the first derivative of u(k). What is d in t(d) = 0?
-1/2, 15
Let q be ((-2176)/(-10))/4 + 2/(-5). Factor -23 - q*j**5 - 19*j**4 + j**4 - 112*j**2 - 96*j - 9 + 52*j**5 - 64*j**3.
-2*(j + 1)*(j + 2)**4
Let f(c) = -79*c**2 + 1016*c + 146. Let m be f(13). Let s = 12 + -81/7. Factor -6/7*z**2 + s*z**5 - 9/7*z**m + 0 + 0*z**4 + 0*z.
3*z**2*(z - 2)*(z + 1)**2/7
Let t = 5295 + -5293. Let d(c) be the second derivative of -9/80*c**5 + 0*c**t + 11*c - 1/8*c**3 - 3/16*c**4 - 1/40*c**6 + 0. Factor d(x).
-3*x*(x + 1)**3/4
Let f(n) be the first derivative of -n**5/10 - n**4/8 + 38*n**3/3 - 35*n**2 - 1772. Factor f(k).
-k*(k - 7)*(k - 2)*(k + 10)/2
Let r(j) = 3*j**2 - 13*j + 9. Let c = -88 + 92. Let k be r(c). Factor -m**k + m**4 + 13*m**4 + 2*m**4 + 20*m**3 + 8*m**2 + 5*m**5.
4*m**2*(m + 1)**2*(m + 2)
Let l(a) be the first derivative of 2*a**3/21 - 68*a**2 + 16184*a + 1002. Let l(h) = 0. What is h?
238
Let b be 5300/150 - 35 - ((-16)/(-6))/(-1). Factor 0*y**2 + 8/15*y**4 + 0*y - 2/3*y**b + 0 + 2/15*y**5.
2*y**3*(y - 1)*(y + 5)/15
Let t(b) be the first derivative of b**3/6 - 15*b**2 - 128*b + 45. Factor t(g).
(g - 64)*(g + 4)/2
Let o be ((-12)/(-4))/((-27)/(-36)). Let f be (-3)/o + 0 - (-1909)/1660. Factor -f*b**2 - 4/5 - 6/5*b.
-2*(b + 1)*(b + 2)/5
Let j be 6/5*(-130)/(-78). What is k in 6*k**2 - 34*k + 2*k - 4*k**j + 56 = 0?
2, 14
Let o be (47 - 174510/3960)*8/3. Factor -2/11*s**2 + 8 + o*s.
-2*(s - 44)*(s + 1)/11
Let f = 183 - 181. Let l be 0/(4 - 6/f). Factor 3/4*y**4 + l*y + 0 + 3/4*y**3 + 1/4*y**2 + 1/4*y**5.
y**2*(y + 1)**3/4
What is o in -3/4*o**2 - 9208512 + 5256*o = 0?
3504
Suppose 0 = -25*a + 37*a - 384. Let 199*f**2 + 48 + 5*f**2 - 14*f**4 + 2*f**4 + 208*f + a*f**3 = 0. What is f?
-2, -1, -1/3, 6
Let p(n) be the third derivative of -n**6/72 + n**5/24 - 31*n**3/3 - 88*n**2. Let y(i) be the first derivative of p(i). Factor y(j).
-5*j*(j - 1)
Let b(o) be the first derivative of 5*o**6/6 + 15*o**5 - 55*o**4/2 - 460*o**3/3 + 180*o**2 + 640*o + 2127. Solve b(w) = 0.
-16, -2, -1, 2
Suppose -22*a + 4 = -20*a. Suppose 7*t = 3*t - 4*s + 12, 0 = a*t + s - 6. 