 6930*v + 8112. Let q(i) = 2*r(i) - 33*s(i). Find h such that q(h) = 0.
-13, 1
Factor 1/4*d**2 + 541/4 + 271/2*d.
(d + 1)*(d + 541)/4
Determine p, given that -118*p - 12*p**2 - 2*p**3 - 4*p**2 - 20*p**2 + 156 = 0.
-13, -6, 1
Let v(f) be the third derivative of f**8/1680 - 11*f**7/350 - 7*f**6/40 - 107*f**5/300 - 3*f**4/10 + 3*f**2 + 141. Suppose v(m) = 0. What is m?
-1, 0, 36
Let k = -3302055/8 - -413438. Let n = k + -680. Factor n*o**2 + 15/8 + 3/8*o**3 - 27/8*o.
3*(o - 1)**2*(o + 5)/8
Determine o, given that 14*o**5 - 11*o**5 + 129*o**4 - 2*o**3 - 9*o**3 + 2*o**3 + 258*o - 216*o**2 - 165*o**2 = 0.
-43, -2, 0, 1
Let v = 164 + -162. Let f(d) = -6*d**3 + 9*d**2 + 21*d + 2. Let i(q) = -19*q**3 + 26*q**2 + 64*q + 5. Let t(s) = v*i(s) - 7*f(s). Factor t(r).
(r - 4)*(r + 1)*(4*r + 1)
Let a(h) be the third derivative of -4*h**2 + 1/12*h**5 - 7 + 5/12*h**4 + 0*h + 0*h**3. Determine g so that a(g) = 0.
-2, 0
Let l(m) be the third derivative of 29/6*m**3 + 0 + 1/60*m**5 - 1/360*m**6 - 9*m**2 + 0*m + 0*m**4. Let h(n) be the first derivative of l(n). Factor h(k).
-k*(k - 2)
Let l(f) be the third derivative of 0*f - 27/2*f**3 + 13/4*f**4 + 0 + 26*f**2 + 1/20*f**5. Factor l(d).
3*(d - 1)*(d + 27)
Let w(c) be the first derivative of -7*c - 13/42*c**4 + 3 + 1/7*c**2 - 5/21*c**3 - 1/10*c**5. Let n(d) be the first derivative of w(d). Solve n(q) = 0 for q.
-1, 1/7
Let p(o) be the first derivative of o**6/6 + 13*o**5/5 + 17*o**4/2 - 80*o**3/3 - 112*o**2 + 256*o - 72. Determine b so that p(b) = 0.
-8, -4, 1, 2
Suppose 0 = 2*k + 13*k - 129405. Factor 35*b**2 + 5*b**3 - k + 0*b**3 + 8652 + 0*b**3 + 55*b.
5*(b + 1)**2*(b + 5)
Find p such that -147894 + 44764*p + 27771*p - 21353*p - 3*p**3 - p**3 - 634*p**2 + 6*p**3 = 0.
3, 157
Let v(s) be the first derivative of -2*s**5/55 - 35*s**4/22 - 134*s**3/33 - 3*s**2 - 3492. Determine p so that v(p) = 0.
-33, -1, 0
Let l be (1281/210 + -6)*928. Find n such that -36/5*n**3 - 32 + l*n - 312/5*n**2 = 0.
-10, 2/3
Let q(l) be the first derivative of 26*l**3/21 + 9*l**2/7 - 8871. Factor q(j).
2*j*(13*j + 9)/7
Let n(c) be the first derivative of -c**5 + 2*c**3/3 + 9. Let o be (-4)/14 - (-138)/42. Let w(q) = 40*q**4 - 15*q**2. Let p(l) = o*w(l) + 25*n(l). Factor p(h).
-5*h**2*(h - 1)*(h + 1)
Let r = -301066 - -1505348/5. Factor 1/5*q**2 + 81/5 + r*q.
(q + 9)**2/5
Let p(u) be the second derivative of -2*u**3 - 2*u**2 - 1/5*u**5 - 14 - u**4 + 3*u. Determine s so that p(s) = 0.
-1
Let a(k) = 72*k - 1365. Let d be a(19). Let h(t) be the first derivative of -d - 15/7*t**2 - 1/7*t**3 - 75/7*t. Suppose h(w) = 0. Calculate w.
-5
Let a(z) = 5*z**3 + 17*z**2 + 98*z + 4. Let j(s) = -31*s**3 - 101*s**2 - 585*s - 25. Let m(g) = -25*a(g) - 4*j(g). Suppose m(q) = 0. What is q?
-11, -10, 0
Let f(d) be the third derivative of d**8/1176 + 4*d**7/147 + d**6/5 + 71*d**5/105 + 107*d**4/84 + 10*d**3/7 + 329*d**2. Find h, given that f(h) = 0.
-15, -2, -1
Let l(r) be the second derivative of 13*r**6/2 - 1453*r**5/20 + 1129*r**4/6 + 880*r**3/3 - 48*r**2 + 7212*r. Determine u, given that l(u) = 0.
-3/5, 2/39, 4
Let c(p) be the third derivative of p**5/12 + 70*p**4/3 + 530*p**3 - 2373*p**2. Find v such that c(v) = 0.
-106, -6
Factor -3/8*m**5 - 39/2*m**2 - 21*m**3 + 0 + 0*m - 51/8*m**4.
-3*m**2*(m + 2)**2*(m + 13)/8
Let j(b) = 16*b + 68. Suppose -3*t + 5*o - 13 = 19, 5*o - 12 = -2*t. Let z be j(t). Solve -8/3*f**3 + z*f**2 - 4/3*f + 0 = 0.
0, 1/2, 1
Let c(p) be the first derivative of 5/3*p**3 - 20*p - 5/4*p**4 + 10*p**2 - 57. Find x, given that c(x) = 0.
-2, 1, 2
Let s(g) be the second derivative of g**7/21 + g**6/15 - 6*g**5/5 - 14*g**4/3 - 16*g**3/3 - 2347*g. Factor s(l).
2*l*(l - 4)*(l + 1)*(l + 2)**2
Suppose 14*j = 16*j - 8. Suppose 0 = 5*f + j*h - 66, -3*f + f + 4*h = -4. Factor f*i + i**2 + 2*i - 6*i**2 - 2*i.
-5*i*(i - 2)
Let z(d) be the third derivative of 58*d**2 + 0 - 3/280*d**7 + 1/120*d**5 + 7/480*d**6 + 0*d + 0*d**4 + 0*d**3. Let z(s) = 0. What is s?
-2/9, 0, 1
Suppose 10*d - 21*d = -43747. Factor d*w**4 - 166*w - 9826 - 3976*w**4 + 49*w**3 + 3345*w + 765*w**2.
(w - 2)*(w + 17)**3
Let w(i) be the second derivative of 27*i**6/35 + 387*i**5/70 + 397*i**4/42 - 103*i**3/21 + 6*i**2/7 - 261*i. Let w(p) = 0. What is p?
-3, -2, 1/9
Let f = -52 + 59. Suppose b - 2*w - f = 0, 0 = -5*b + 4*w + w + 25. Solve 0*z**5 - z + 14*z**3 - z**2 - 17*z**b + 6*z**3 - 2*z**5 + z**4 = 0.
-1, -1/2, 0, 1
Let n(p) be the first derivative of p**6/450 - 8*p**5/75 + 73*p**3/3 - p**2/2 + 101. Let m(r) be the third derivative of n(r). Let m(i) = 0. Calculate i.
0, 16
Let f(t) = -8*t - 114 - 8*t - 13*t. Let a be f(-4). Factor -4/11 - 2/11*o**4 - 18/11*o**a - 14/11*o - 10/11*o**3.
-2*(o + 1)**3*(o + 2)/11
Factor -2/11*d**5 - 10616832/11 - 82944*d**2 - 11501568/11*d - 28032/11*d**3 - 386/11*d**4.
-2*(d + 1)*(d + 48)**4/11
Solve -14*c**2 + 427 + 2139*c - 144 + c**2 - 1705 + 4*c**2 = 0 for c.
2/3, 237
Let l = 738318 - 5167648/7. Suppose 2/7*r**5 + 92*r**2 - l - 66/7*r**4 - 510/7*r + 508/7*r**3 = 0. What is r?
-1, 1, 17
Let k(m) be the second derivative of -100*m**3 + 4 - 155/2*m**2 + 6*m + 20/3*m**4. Factor k(v).
5*(4*v - 31)*(4*v + 1)
Let u = 44538746/925 + -48150. Let p = u + 18512/2775. What is c in -p*c**4 + 12*c**2 - 8/3*c + 2/3*c**3 + 2*c**5 - 16/3 = 0?
-1, -2/3, 1, 2
Factor 1/3*l**2 - 200/3 + 46/3*l.
(l - 4)*(l + 50)/3
Let m(d) be the second derivative of 0 - 64*d + 3/17*d**3 - 1/102*d**4 + 10/17*d**2. Let m(a) = 0. What is a?
-1, 10
Solve 0 - 195364/9*t - 63944/3*t**3 - 388960/9*t**2 + 1760/9*t**4 - 4/9*t**5 = 0 for t.
-1, 0, 221
Let h(r) be the second derivative of 4*r**6/135 + 61*r**5/90 + 23*r**4/6 - 208*r**3/27 - 64*r**2/9 - 1786*r. Solve h(s) = 0 for s.
-8, -1/4, 1
Let -117 - 81*f - 1/3*f**3 - 15*f**2 = 0. Calculate f.
-39, -3
Let p(y) = 3*y**2 - 28*y + 37. Let d be p(8). Determine j so that -295*j**3 - 39*j**4 + 33*j**d - 2*j - 4*j + 268*j**3 + 39*j**2 = 0.
-1, 0, 2/11, 1
Let t = 19061/92 - 10/23. Let z = 208 - t. Factor 9/4*g + 3*g**2 + 1/2 + z*g**3.
(g + 1)**2*(5*g + 2)/4
Let c(y) be the first derivative of -4*y**5/5 + 2*y**4 + 4*y**3 - 8*y**2 - 16*y + 1265. Factor c(s).
-4*(s - 2)**2*(s + 1)**2
Let k(h) = -h**3 - 27*h**2 - 54*h - 104. Let g be k(-25). Let b be 2/(g/10) - (-310)/62. Determine z so that 6*z**2 + 3/8*z**4 + 0 + b*z + 3*z**3 = 0.
-4, 0
Let u(o) = -2*o**3 - 20*o**2 - o - 6. Let f be u(-10). Find s, given that -4*s**f - 36*s**2 - 354 + 703 + 20*s**3 + 28*s - 357 = 0.
1, 2
Let n(c) be the first derivative of c**8/84 + 3*c**7/35 - 4*c**6/45 - 7*c**3 + c**2 - 17. Let u(g) be the third derivative of n(g). Factor u(i).
4*i**2*(i + 4)*(5*i - 2)
Determine s, given that -16129*s - 1725*s**3 + 7760 - 17400*s**2 + 5864*s**4 - 356*s**3 - 5839*s**4 - 2679*s**3 + 4449*s = 0.
-2, 2/5, 194
Suppose 0 = -4*u, 5*l - 1945 = -7*u + 3*u. Suppose 178*t**2 - 4*t**3 - 100*t - l*t**2 + 171*t**2 = 0. What is t?
-5, 0
Solve -876/7 + 6/7*z**2 + 1310/7*z = 0 for z.
-219, 2/3
Factor 1530*a**2 - 435*a**3 - 313*a**3 + 753*a**3 + 117045*a.
5*a*(a + 153)**2
Let d(u) be the first derivative of -162*u**2 + 204*u**3 + 0*u - 1/6*u**6 - 34/5*u**5 - 253/4*u**4 + 117. Factor d(s).
-s*(s - 1)**2*(s + 18)**2
Let u = -3217/30 + -53/5. Let q = u - -118. What is y in q*y**5 + 0*y + 0*y**2 + 0 + 2/3*y**3 - 2/3*y**4 = 0?
0, 2
Let j = -478 - -518. Let r be (j/35)/((-36)/(-14)). Solve -r*i**4 - 4/9*i**2 + 8/9*i**3 + 0 + 0*i = 0 for i.
0, 1
Let b(x) be the second derivative of x**6/24 - 5*x**5/12 - 65*x**4/24 - 35*x**3/6 - 17*x**2 - 13*x. Let w(m) be the first derivative of b(m). Factor w(u).
5*(u - 7)*(u + 1)**2
Let s(a) be the first derivative of 7*a**5/3 + 155*a**4/3 + 400*a**3 + 1080*a**2 - 720*a + 975. Find w such that s(w) = 0.
-6, 2/7
Let h(y) = -25*y**3 + 1195*y**2 + 13160*y - 30380. Let x(z) = 2*z**3 - 92*z**2 - 1012*z + 2337. Let q(j) = 3*h(j) + 40*x(j). Factor q(m).
5*(m - 26)*(m - 2)*(m + 9)
Factor 15*y**4 - 53*y**4 - 35*y**2 - 25*y**3 + 20*y**4 + 13*y**4 + 105*y**2.
-5*y**2*(y - 2)*(y + 7)
Let z(g) = 2*g**2 + 112*g + 768. Let d be z(-48). Let n(a) be the second derivative of d*a**2 + 1/24*a**4 + 0 + 17*a + 1/4*a**3. Factor n(p).
p*(p + 3)/2
Solve -120/23 + 376/23*t - 1200/23*t**3 + 330/23*t**2 - 250/23*t**4 = 0.
-5, -3/5, 2/5
Let t(m) be the first derivative of m**4/16 - m**3 + 21*m**2/