derivative of -h**7/735 + h**6/28 - 13*h**5/70 + 37*h**4/84 - 4*h**3/7 + 184*h**2 - h. Factor f(c).
-2*(c - 12)*(c - 1)**3/7
Suppose -2*x + 37 = 2*x - 5*c, -4*c = -5*x + 44. Suppose -v = -5*v + x. Factor -8*a + 8*a**3 + 8*a**2 - 8*a**4 - 4*a**v - 11*a**4 + 15*a**4.
-4*a*(a - 2)*(a - 1)*(a + 1)
Let n(a) be the second derivative of -12 - 3/20*a**5 + 9/4*a**4 - 13*a**3 + 14*a + 36*a**2. Factor n(o).
-3*(o - 4)*(o - 3)*(o - 2)
Suppose o + 8 = -14*a + 18*a, 2*a = -2*o + 14. Factor 12/11*v**3 + 2/11*v**o - 12/11*v - 2/11*v**2 + 0.
2*v*(v - 1)*(v + 1)*(v + 6)/11
Let u(g) be the second derivative of -511*g**4/3 - 10*g**3/3 + 547*g + 6. Determine j, given that u(j) = 0.
-5/511, 0
Suppose 135 = 26*i + 5. Let s be 4/(-14) + (i/(-7) - -4). What is g in -4/13*g**2 - 2/13*g**s - 8/13 + 14/13*g = 0?
-4, 1
Let u(q) = 885*q + 25667. Let b be u(-29). Factor -49/11*d - 23/11*d**b - 25/11 + 1/11*d**3.
(d - 25)*(d + 1)**2/11
Let s be ((30*5)/(1/9))/1. Let o**5 - 12*o**2 + s*o**4 - 1341*o**4 + 2*o**5 = 0. Calculate o.
-2, 0, 1
Let c(l) be the second derivative of 1/5*l**5 + 48*l**3 + 107*l + 0 + 5*l**4 + 216*l**2. Factor c(t).
4*(t + 3)*(t + 6)**2
Let n = -944041/3 + 314681. Factor 0 + 2/3*k**3 - n*k + 0*k**2.
2*k*(k - 1)*(k + 1)/3
Let t(n) be the first derivative of -n**4/30 + 50*n**3/9 - 3712*n**2/15 - 8192*n/5 + 601. Find j such that t(j) = 0.
-3, 64
Let w(o) be the third derivative of -4/3*o**3 - o**2 + 67*o + 0 - 1/5*o**5 - 25/12*o**4. Factor w(d).
-2*(d + 4)*(6*d + 1)
Let x(t) be the first derivative of t**5/240 - t**4/12 - 101*t**2 - 231. Let v(o) be the second derivative of x(o). Factor v(u).
u*(u - 8)/4
Let q be (-57)/18 - 3*2/(-36). Let l(f) = -3*f**3 - f**2 + 1. Let k(d) = -30*d**3 + 171*d**2 - 195*d + 45. Let h(x) = q*l(x) + k(x). Factor h(j).
-3*(j - 7)*(j - 1)*(7*j - 2)
Let h(r) = 14*r**3 - r**2 - 8*r + 13. Let p be h(2). Let x = p + -103. Factor 24 + x*y**2 - 15 - 12*y + 7.
2*(y - 4)*(y - 2)
Suppose 0 = -3*t - 2*x - 9, -2*t + 3766 = 2*x + 3778. Factor 1/11*y**t + 2/11*y**2 - 6/11 - 5/11*y.
(y - 2)*(y + 1)*(y + 3)/11
Suppose -77*b**2 + 3190*b**4 - 3*b**3 + 72*b**2 - 3188*b**4 = 0. What is b?
-1, 0, 5/2
Let z be 9/18*-2*91. Let q = z - -95. What is w in 0 - 2/3*w**3 + 0*w - 2/9*w**q + 0*w**2 = 0?
-3, 0
Let i(m) = 52*m**4 - 28*m**3 - 84*m**2 + 12*m + 16. Let f(t) = 49*t**4 - 27*t**3 - 80*t**2 + 12*t + 16. Let p(o) = -16*f(o) + 15*i(o). Solve p(q) = 0.
-1, 1, 4
Let p(w) be the third derivative of w**7/350 - 7*w**6/200 + w**5/10 - 64*w**2 + 2*w. Solve p(o) = 0 for o.
0, 2, 5
Let y(l) = 10*l - 7*l + 30 + 5*l - 2. Let v be y(-3). What is r in v*r**3 + 5 + 6*r**3 - 13*r + 3*r - 5*r**4 + 0*r = 0?
-1, 1
Let q(p) be the first derivative of -p**6/90 - 11*p**5/5 - 363*p**4/2 + 3*p**3 + 2*p**2 - 247. Let m(t) be the third derivative of q(t). Factor m(s).
-4*(s + 33)**2
Let h(y) be the second derivative of y**4/90 - 74*y**3/45 + 1333*y**2/15 - 8925*y. Factor h(f).
2*(f - 43)*(f - 31)/15
Factor 1352*x - 77285 + x**2 + 446616 + 87645.
(x + 676)**2
Let z(r) = r**2 - 1. Let d(k) = -18*k**2 + 80*k + 113. Let m(h) = 9*h**2 - 39*h - 57. Let q(v) = -3*d(v) - 5*m(v). Let i(x) = -q(x) + 12*z(x). Factor i(l).
3*(l + 1)*(l + 14)
Suppose 1218 + 217 = -7*i. Let q = 1027/5 + i. Factor -q*a**4 - 2/5*a**3 + 2/5*a**2 + 2/5*a + 0.
-2*a*(a - 1)*(a + 1)**2/5
Let s(a) be the third derivative of a**8/672 + a**7/60 - 7*a**6/80 - 9*a**5/40 + 50*a**2 + 9. Suppose s(x) = 0. Calculate x.
-9, -1, 0, 3
Let x = -12514/3523 + 1046/271. What is u in x + 2/13*u - 2/13*u**2 = 0?
-1, 2
Let b = 200 + -197. Factor -10*i**b + 175*i**2 - 6*i**3 + i**3 - 60*i - 75*i**2.
-5*i*(i - 6)*(3*i - 2)
Factor 5292 + 66*z**2 - 1575*z - 3/4*z**3.
-3*(z - 42)**2*(z - 4)/4
Let i(w) be the first derivative of 2*w**3/27 - 368*w**2/3 + 67712*w - 929. Factor i(v).
2*(v - 552)**2/9
Let v(j) be the second derivative of 0*j**2 + 102*j + 3/2*j**6 + 11/4*j**5 + 0 - 65/3*j**4 - 10*j**3. Factor v(d).
5*d*(d - 2)*(d + 3)*(9*d + 2)
Let q(o) be the third derivative of o**5/75 + o**4/10 - 36*o**3 - 10*o**2 - 56. Factor q(t).
4*(t - 15)*(t + 18)/5
Let x be (2/3)/(2/9). Let f be (-4)/x - 90/(-27). Determine c so that 105*c**f - 3*c - 202*c**2 + 100*c**2 = 0.
0, 1
Suppose -899 - 941 = -8*n. Suppose 228*y + 4 = n*y. Factor 9*x - 3/4*x**y - 27.
-3*(x - 6)**2/4
Let o(t) = 38*t**3 - 1314*t**2 - 312*t - 88. Let m(p) = -25*p**3 + 876*p**2 + 206*p + 55. Let s(r) = -8*m(r) - 5*o(r). Let s(v) = 0. What is v?
-1/5, 0, 44
Let p be ((-32)/(-408))/((-878)/(-22389)). Solve -5/7*o**5 - 9/7*o**3 + 2/7*o**p + 12/7*o**4 + 0 + 0*o = 0 for o.
0, 2/5, 1
Determine d so that -69*d**4 - 67*d**4 - 201*d - 64*d**4 + 42 + 197*d**4 + 21*d**3 + 66 + 75*d**2 = 0.
-4, 1, 9
Let s(y) be the first derivative of 2*y**3/27 + 248*y**2/9 + 366. Factor s(r).
2*r*(r + 248)/9
Let z = -9/57844 - -4511985/983348. Determine x so that -80/17 + 2/17*x**2 - z*x = 0.
-1, 40
Let c = -10/1219 + 1399/21942. Let o(j) be the second derivative of 1/6*j**2 + 0 - 1/60*j**5 + 19*j - 1/36*j**4 + c*j**3. Factor o(a).
-(a - 1)*(a + 1)**2/3
Let o(n) be the third derivative of -25*n**3 - 1/180*n**6 - 31/90*n**5 - 85/12*n**4 + 0 + 54*n**2 + 0*n. Suppose o(v) = 0. What is v?
-15, -1
Let t(c) be the second derivative of -96*c**5/5 + 88*c**4/5 - 29*c**3/5 + 9*c**2/10 + 810*c. Factor t(k).
-3*(8*k - 1)**2*(10*k - 3)/5
Let q = 31 + -35. Let d be 14 + 6/(8/q). Determine m so that -25*m - 5*m**2 + 14*m + 15*m + d*m = 0.
0, 3
Let f(u) be the third derivative of 2*u**5/15 + 15*u**4/8 + 25*u**3/6 + 482*u**2. Find l such that f(l) = 0.
-5, -5/8
Let g(l) = 2*l**3 + 39*l**2 - 35*l - 72. Let q(f) = -f**3 - 39*f**2 + 34*f + 72. Let w(d) = 4*g(d) + 5*q(d). Determine h, given that w(h) = 0.
-1, 2, 12
Let q(o) be the second derivative of -o**5/20 - 9*o**4/8 - 10*o**3 - 105*o**2/2 + 12*o + 2. Let g(b) be the first derivative of q(b). Factor g(n).
-3*(n + 4)*(n + 5)
Let z(g) = -5*g**3 - 82*g**2 + 239*g + 3199. Let x be z(-17). Find y such that -2/3*y**x - 130/3*y - 16*y**2 - 28 = 0.
-21, -2, -1
Let 226*t - 125/2*t**2 - 107/2*t**4 - 7/2*t**5 + 66 - 345/2*t**3 = 0. What is t?
-11, -3, -2, -2/7, 1
Factor f**2 - 1248*f - 4*f**2 + 326*f + 592*f.
-3*f*(f + 110)
Factor -608/7*m**3 - 2/7*m**5 + 0*m**2 + 44*m**4 + 0*m + 0.
-2*m**3*(m - 152)*(m - 2)/7
Let g(r) be the first derivative of -r**4/10 - 4*r**3/3 + 71*r**2/5 - 24*r + 706. Factor g(c).
-2*(c - 4)*(c - 1)*(c + 15)/5
Determine a so that 103/4*a**2 - 1/4*a**4 - 343/4*a + 7/4*a**3 + 117/2 = 0.
-9, 1, 2, 13
Let k(w) be the first derivative of 1/9*w**4 - 1 + 2/9*w**3 - 1/15*w**5 - 7*w - 2/3*w**2. Let i(u) be the first derivative of k(u). Factor i(q).
-4*(q - 1)**2*(q + 1)/3
Let t(j) be the third derivative of -7 + 121/8*j**3 - 2*j**2 + 0*j + 11/16*j**4 + 1/80*j**5. Factor t(z).
3*(z + 11)**2/4
Let c(u) = -36*u**2 + 630*u - 6636. Let l(t) = -40*t + 7*t**2 + 104*t - 190*t + 1327. Let v(g) = 4*c(g) + 21*l(g). Solve v(p) = 0 for p.
21
Let a(g) be the first derivative of -1/12*g**4 + 59 + 1/2*g**2 + 2/3*g + 0*g**3. Factor a(z).
-(z - 2)*(z + 1)**2/3
Let m(o) be the second derivative of 60*o**2 + 4 + 1/90*o**4 - 3*o - 4/3*o**3. Find t such that m(t) = 0.
30
Let q(b) = 5*b**2 - 45640*b - 12920. Let d(w) = -2*w**2 + 3*w - 5. Let m(t) = -20*d(t) - q(t). Factor m(l).
5*(l + 1302)*(7*l + 2)
Let g = 7247/1230 - 121/246. Let -3/5*f**4 + g - 18/5*f + 18/5*f**3 - 24/5*f**2 = 0. Calculate f.
-1, 1, 3
Let j(w) be the first derivative of 1/6*w**4 - 11*w + 23/21*w**3 + 8 + 6/7*w**2. Let q(z) be the first derivative of j(z). Determine u so that q(u) = 0.
-3, -2/7
Let c(y) = -y**5 + y**3 - 2*y**2 + y - 2. Let k(z) = 9*z**5 - 60*z**4 + 195*z**3 + 10*z**2 - 5*z + 10. Let i(t) = -5*c(t) - k(t). Factor i(w).
-4*w**3*(w - 10)*(w - 5)
Let r be -1075*44/(-16500) + 14/105. Factor -11/3*y**2 + 12*y - 12 + 1/3*y**r.
(y - 6)*(y - 3)*(y - 2)/3
Let s(d) be the first derivative of -d**5/60 - 7*d**4/24 - d**3 - 26*d**2 - 48. Let x(f) be the second derivative of s(f). Let x(c) = 0. What is c?
-6, -1
Let v be (16 - 17) + 2*-27. Let k = v - -56. Factor -6*m**5 + 2*m**2 - 6*m**2 - 1 + 6*m**4 - 6*m + 4*m**3 - k + 8*m**5.
2*(m - 1)*(m + 1)**4
Let j(t) = t**3 + 14*t**2 - 24*t - 57. Let a be j(-15). Suppose -25*n = -a*n + 53. Find i such that n + 3/10*i - 1/10*i**2 = 0.
-2, 5
Let w be (-104)/117 + 2848/288 - (-66