+ 1/5*s**4.
(s - 6)**3*(s + 3)/5
Let r(g) be the first derivative of -g**6/20 + 9*g**5/40 - g**4/8 - 3*g**3/4 + 3*g**2/2 - 26*g + 37. Let q(y) be the first derivative of r(y). Solve q(k) = 0.
-1, 1, 2
Let p be 62/155*170/2. Let d be 220/p - (3 - -3). Factor 8/17*o**2 + d*o + 0 + 2/17*o**3.
2*o*(o + 2)**2/17
Let h = -13/2 - -7. Let v be (0 - (-1)/3)/((-13)/(-78)). Find c such that -h*c**v + 1 - 1/2*c = 0.
-2, 1
Let w(y) be the second derivative of y**5/4 - 25*y**4/12 - 10*y**3 + 90*y**2 - 2250*y. Factor w(l).
5*(l - 6)*(l - 2)*(l + 3)
Let h(t) be the third derivative of -t**7/210 - 17*t**6/120 - 17*t**5/15 - 25*t**4/6 - 8*t**3 + 940*t**2. Let h(u) = 0. What is u?
-12, -2, -1
Let i be 2/59 + 231851/1746282. Factor 625/6 + i*f**2 + 25/3*f.
(f + 25)**2/6
Let k be (3 - -1 - 0) + 0. Suppose k*r - 2*t = 0, -t - 2*t = r - 14. Suppose 4*g**r - 17 + 3*g**2 + g**4 + 21 + 6*g**2 - 6*g**3 - 12*g = 0. Calculate g.
1, 2
Let b(d) be the third derivative of d**6/360 + d**5/9 + 16*d**4/9 + 128*d**3/9 + 618*d**2. Factor b(c).
(c + 4)*(c + 8)**2/3
Suppose 66499*w**2 - 1936 - 33247*w**2 - 33254*w**2 - 972*w = 0. Calculate w.
-484, -2
Suppose 13*z = 11*z + 6. Let p(y) = -7*y**2 - 12*y + 25. Let b(h) = 11*h**2 + 13*h - 25. Let i(o) = z*p(o) + 2*b(o). Suppose i(f) = 0. Calculate f.
5
Let m be (-2)/((8 - 5)/(-6)). Suppose -4*t - 3*q + 20 = 0, 2*q - m = -0*t + 2*t. Solve -t*k**2 + 0*k - 14/3*k**4 + 16/3*k**3 + 0 + 4/3*k**5 = 0 for k.
0, 1, 3/2
Let r be 6925/((-30)/6) - (-2)/(-3). Let z = r + 1387. Factor -2 - 2/9*x**2 + z*x.
-2*(x - 3)**2/9
Let f(k) be the third derivative of -3/10*k**5 + 11/8*k**4 + 1/40*k**6 + 12*k - 3*k**3 + 0 - 5*k**2. Find j such that f(j) = 0.
1, 2, 3
Let x(k) be the second derivative of -k**7/21 + 4*k**6/15 - 5*k**4/3 + k**3/3 + 6*k**2 - k + 662. Suppose x(i) = 0. Calculate i.
-1, 1, 2, 3
Factor -78*k**3 + 40*k**3 + 2*k**4 - 4*k**4 - 448*k + 12*k**2 + 54*k**3 - 490 + 48*k**2.
-2*(k - 7)**2*(k + 1)*(k + 5)
Suppose -384 = -2*q + 5*t - 3*t, -2*t + 960 = 5*q. Factor q + 184*p - 7*p**2 + 33*p**2 + 4*p**2 - 10*p**2 + 24*p**2.
4*(p + 2)*(11*p + 24)
Let i = -197 - -203. Suppose 2*m + 2*h = -2, 2*m - i*h - 16 = -2*h. Find j such that 0 - 2/9*j**4 - 14/9*j**3 - 10/9*j - 22/9*j**m = 0.
-5, -1, 0
Let i = -162390/13 - -12492. Let t(g) be the first derivative of 2/13*g**4 - 7 + 22/39*g**3 - 2/65*g**5 + i*g**2 + 0*g. Factor t(s).
-2*s*(s - 6)*(s + 1)**2/13
Let h(a) = -a**3 - 104*a**2 - 163*a - 84. Let w(p) = p**3 + 100*p**2 + 162*p + 83. Let s(m) = 5*h(m) + 6*w(m). Factor s(n).
(n + 1)**2*(n + 78)
Let s(c) be the second derivative of c**7/2100 - 7*c**6/900 + 2*c**5/75 + c**4/6 + 21*c**2/2 + 16*c. Let f(p) be the third derivative of s(p). Factor f(h).
2*(h - 4)*(3*h - 2)/5
Let m be -13 + (-3)/(15/(-65)). Let s(w) be the first derivative of -1/30*w**5 - 3 - 1/18*w**3 + m*w**2 + 0*w - 1/12*w**4. Factor s(x).
-x**2*(x + 1)**2/6
Let f(m) = 2*m**3 - 31*m**2 - 202*m + 2996. Let l be f(16). Determine q, given that -l + 18*q - 3*q**2 - 1/2*q**3 = 0.
-10, 2
Let g(x) be the first derivative of 0*x**3 - 1/54*x**4 - 43 - 35*x + 0*x**2. Let i(v) be the first derivative of g(v). Determine r so that i(r) = 0.
0
Let v(g) be the first derivative of -3*g**4/28 + 2*g**3 + 333*g**2/14 + 540*g/7 + 819. Find b, given that v(b) = 0.
-3, 20
Let i be ((-800)/6800)/((-7)/255). Find t, given that i - 2/7*t**2 - 4*t = 0.
-15, 1
Suppose -1534 = 599*z - 2732. Solve 4*t - z*t**2 + 1/3*t**3 - 8/3 = 0.
2
Let 254/5*k**2 - 51 + 1/5*k**4 - 56/5*k + 56/5*k**3 = 0. Calculate k.
-51, -5, -1, 1
Determine t, given that 2130481*t + 5*t**4 - 1064260*t - 300*t**2 - 10*t**3 - 2025 - 1064691*t = 0.
-9, 3, 5
Factor 8*z**5 + 3244471*z**4 - 44*z**3 - 3244441*z**4 - 6*z**3.
2*z**3*(z + 5)*(4*z - 5)
Let u(v) be the first derivative of 25/2*v**2 - 12 + 65/12*v**4 + 1/2*v**5 + 40/3*v**3 - 9*v. Let a(p) be the first derivative of u(p). Factor a(z).
5*(z + 1)*(z + 5)*(2*z + 1)
Factor 2/7*p**4 - 12/7*p**3 + 0 - 2/7*p**2 + 12/7*p.
2*p*(p - 6)*(p - 1)*(p + 1)/7
Suppose -12*j = -2 + 50. Let o be 132/(-16) + 7 - 5/j. Determine u so that -7/2*u**2 + o*u - 1/2*u**5 + 3/2*u**4 + 2 + 1/2*u**3 = 0.
-1, 1, 2
Let y = 219412 + -219412. Factor y + 5/2*d + 1/2*d**2.
d*(d + 5)/2
Let v(c) be the first derivative of c**5 - 50*c**3/3 + 45*c + 589. Let v(s) = 0. Calculate s.
-3, -1, 1, 3
Let p(v) be the second derivative of v**7/2520 + v**6/1080 + 11*v**3/2 - v**2 + 51*v. Let d(m) be the second derivative of p(m). Determine u so that d(u) = 0.
-1, 0
Determine m, given that -3222480*m**3 - 4641*m**4 - 5*m**5 - 499479770*m**2 + 1110*m**4 - 3419*m**4 - 496264235*m = 0.
-463, -1, 0
Suppose -6*h - 144 = -3*o - 2*h, -2*h = -5*o + 254. Let p = o + -50. Let -2 + 3*v**p - 9*v - 2 + 0*v**2 - 8 = 0. Calculate v.
-1, 4
Let v(m) = 6*m**4 - 285*m**3 + 6048*m**2 + 20742*m - 3. Let o(i) = 5*i**4 - 283*i**3 + 6048*i**2 + 20740*i - 2. Let k(w) = -3*o(w) + 2*v(w). Solve k(h) = 0.
-3, 0, 48
Let s(r) be the third derivative of 7/30*r**5 - 1/2*r**4 + 0 - 1/105*r**7 - r**2 + 52*r + 0*r**3 + 0*r**6. Factor s(u).
-2*u*(u - 2)*(u - 1)*(u + 3)
Let q(b) be the third derivative of 17*b**7/210 + b**6/8 - 3*b**5/5 + b**4/6 - 85*b**2 - 2*b. Solve q(m) = 0.
-2, 0, 2/17, 1
Let u(s) = 33*s**2 - 3726*s - 3696. Let o(i) = -8*i**2 + 931*i + 924. Let q(y) = 21*o(y) + 5*u(y). Determine n, given that q(n) = 0.
-1, 308
Let h(g) be the second derivative of g**4/102 - 2228*g**3/51 + 1240996*g**2/17 + g + 108. Factor h(s).
2*(s - 1114)**2/17
Let h be (-6)/(-168)*(723 + -711). What is c in 0 + h*c**2 + 24/7*c = 0?
-8, 0
Let w(q) be the first derivative of 2*q**5/55 - 8*q**3/11 + 16*q**2/11 + 243. Factor w(p).
2*p*(p - 2)**2*(p + 4)/11
Suppose 25 = 24*b - 23. Let -b*h - 12*h**3 + 6 - 6*h**2 + 18*h**3 - 4*h**3 = 0. What is h?
-1, 1, 3
Suppose -2*d - 70 = -9*d. Factor 95 - 77*a - 51*a - d*a**2 - 99*a + 42*a.
-5*(a + 19)*(2*a - 1)
Let y be 18/3 + 10/(-5). Suppose -y*z + 44 = -20. Determine q, given that 16 + q**2 - q - z = 0.
0, 1
Factor 3/2*d**4 + 27/2*d**3 - 30*d + 0 - 18*d**2.
3*d*(d - 2)*(d + 1)*(d + 10)/2
Let p be 13 - 3665/280 - (-2)/(-5)*(-30)/32. Factor p*w**2 + 26/7*w + 0.
2*w*(w + 13)/7
Let t(q) be the first derivative of q**9/13608 + q**8/1512 + q**7/630 - 98*q**3/3 + 144. Let d(p) be the third derivative of t(p). Factor d(h).
2*h**3*(h + 2)*(h + 3)/9
Let h be (3/(-6))/((-5)/20). Suppose -10*k + h = -9*k. Determine s so that -2*s**3 - 7*s**2 + s**k - 3*s + s - 2*s = 0.
-2, -1, 0
Determine v so that 79*v**2 + 27*v + 49*v - 156*v + v**5 + 28 + 24*v**3 + v**4 + 11*v**3 - 64*v**3 = 0.
-7, 1, 2
Let a be (14/12)/(16 - (4 + 5)). Let n(d) be the first derivative of -11 - a*d**4 + 2/27*d**3 + 2/9*d**2 + 0*d. Factor n(q).
-2*q*(q - 1)*(3*q + 2)/9
Let k = 8/37 - -2691/17501. Let h = -3/473 + k. Factor 0*t**3 + 0 + 4/11*t**2 - 2/11*t**5 - h*t**4 + 2/11*t.
-2*t*(t - 1)*(t + 1)**3/11
Factor 1536949*s**3 - 2*s**5 + 2772*s**4 + 7606548*s + 5*s**5 + 3825330*s**2 + 5056344 - 888346*s**3.
3*(s + 2)**3*(s + 459)**2
Let x = 36 + -12. Let j(m) = -9*m**2 + 30*m - 69. Let b(d) = -712*d**2 + 710*d**2 + 6 + 6*d - 20. Let a(v) = x*b(v) - 5*j(v). Suppose a(k) = 0. Calculate k.
-3, 1
Let d(m) = -135*m**4 + 3171*m**3 - 1776*m**2 + 258*m + 6. Let x(u) = 133*u**4 - 3171*u**3 + 1776*u**2 - 259*u - 7. Let o(k) = 7*d(k) + 6*x(k). Solve o(t) = 0.
0, 2/7, 21
Suppose -510*t + 511*t + 6 = 0, 2*t + 12 = -3*v. Let h(c) be the third derivative of 0*c**3 - 20*c**2 - 1/150*c**5 + v*c + 0 + 1/30*c**4. Factor h(g).
-2*g*(g - 2)/5
Let z(t) be the first derivative of 171 - 7/15*t**2 - 2/45*t**3 + 0*t. Suppose z(h) = 0. Calculate h.
-7, 0
What is y in -1914/7*y**2 + 9196/7*y - 2/7*y**4 + 0 + 120/7*y**3 = 0?
0, 11, 38
Find p, given that 780150*p + 18*p**3 - 780127*p - 6 - 19*p**2 - 2*p**4 - 3*p**2 - 10*p**2 - p**5 = 0.
-6, 1
Let m(u) be the first derivative of -u**4/18 + 214*u**3/27 - 106*u**2/9 + 10831. Solve m(j) = 0.
0, 1, 106
Factor -1083/7 - 114/7*q - 3/7*q**2.
-3*(q + 19)**2/7
Factor -1019*w**2 - 85*w**2 - 2 - 14788*w + 335*w**3 + 241*w**3 + 14693*w.
(w - 2)*(24*w + 1)**2
Let m(i) be the first derivative of -i**6/4 + 435*i**5 - 1181565*i**4/4 + 94873680*i**3 - 50941236555*i**2/4 - 52089208083*i - 1551. Factor m(p).
-3*(p - 363)**4*(p + 2)/2
Let u(c) be the first derivative of 11*c**5/30 - 3*c**4/4 - 2*c**3/3 - 