v(q).
2*(q + 2)*(q + 95)
Let t(a) be the second derivative of -1/30*a**5 - 61*a + 1/18*a**4 + 0 + 1/9*a**3 - 1/3*a**2. Factor t(m).
-2*(m - 1)**2*(m + 1)/3
Let v(w) be the third derivative of -4*w**5/45 + 61*w**4/108 + 8*w**3/27 - 1311*w**2 + 2. Solve v(b) = 0.
-1/8, 8/3
Let g(m) be the first derivative of m**6/2 + 27*m**5/5 - 51*m**4/4 - 69*m**3 + 24*m**2 + 180*m + 60. Suppose g(q) = 0. What is q?
-10, -2, -1, 1, 3
Let b(y) be the third derivative of 2*y**7/525 + y**6/75 - y**5/15 - y**4/5 - 14*y**2 + 71. Factor b(h).
4*h*(h - 2)*(h + 1)*(h + 3)/5
Let j be 1/(15/(-50) + (-1)/(-2)). Suppose j*m - 14 = c, m = -2*m - 5*c - 14. Solve -3*i + 5*i**m - 23 - 2 + 13*i - 15 = 0 for i.
-4, 2
Suppose -43 - 65 = -12*m. Let u be (9/(-6))/(m/(-18)). Find h such that h**u + 4*h**2 - 4*h**3 + 45*h + 14*h**2 + 43 - 19 = 0.
-1, 8
Let k be (8 - -6)*((-106)/(-210) - (-7)/(-21)). Let h(m) be the second derivative of 1/15*m**4 - k*m**2 - 35*m + 0 + 2/3*m**3. Suppose h(y) = 0. Calculate y.
-6, 1
Let a(u) be the third derivative of u**6/70 + 29*u**5/210 + 11*u**4/21 + 20*u**3/21 + 1062*u**2. Factor a(g).
2*(g + 2)**2*(6*g + 5)/7
Let w(q) = -q**3 + 14*q**2 + 5. Let v = -4 - -18. Let y be w(v). Let 2*o**2 + 4*o**y + 6*o**2 - 17*o**2 + 4*o**4 + 5*o**2 - 4*o**3 = 0. What is o?
-1, 0, 1
Let c(r) be the second derivative of -r**5/45 + 506*r**4/3 - 512072*r**3 + 777325296*r**2 + 171*r + 28. Find s, given that c(s) = 0.
1518
Let n be 4/(-14) - 469/(-98). Let o = 403498 - 403496. Let -n*r**3 - 80*r - 16 - 37*r**o = 0. Calculate r.
-4, -2/9
Let q(i) be the first derivative of i**4/6 + 2146*i**3/9 + 2143*i**2/3 + 714*i - 4226. Let q(m) = 0. Calculate m.
-1071, -1
Suppose 4*d = 5*a + 70492 + 20403, -2*a - 22726 = -d. Factor -4*y**4 + d*y**2 - 20*y**3 - 22720*y**2.
-4*y**3*(y + 5)
Let s be 6 + -8*5/10. Suppose -4 + 9*o**3 + 5*o**2 + 2*o**4 - 2*o**s - 3*o**3 - 11*o + 5*o - o**2 = 0. Calculate o.
-2, -1, 1
Let s(n) be the second derivative of -n**6/30 + 13*n**5/10 + 38*n**4/3 + 17*n**3 - 279*n**2/2 + 6879*n. Factor s(j).
-(j - 31)*(j - 1)*(j + 3)**2
What is a in 61/4*a**2 + 0 + 29/4*a**3 + 31/4*a - 1/4*a**4 = 0?
-1, 0, 31
Let g(y) be the second derivative of -y**8/420 - y**7/126 + 7*y**6/180 + y**5/15 + 77*y**4/12 - 45*y - 2. Let b(l) be the third derivative of g(l). Factor b(m).
-4*(m - 1)*(m + 2)*(4*m + 1)
Let n be 0/2 + -2 - -18. Suppose n*u - 500 = 14*u. Factor u - 250 + 8*c - 4*c**2.
-4*c*(c - 2)
Let i(z) be the first derivative of z**4/3 + 196*z**3/3 + 4802*z**2 + 159*z + 136. Let q(l) be the first derivative of i(l). Factor q(r).
4*(r + 49)**2
Let u = 1084262/17301 - 22/5767. Solve -4418/3 - 2/3*n**2 - u*n = 0 for n.
-47
Suppose 2*s - 68 = -4*x, -s + 3*x + 61 = s. Let z = s - 29. Factor 137*k + 45*k**2 + z*k**3 + k + 375 + 87*k.
3*(k + 5)**3
Suppose -2*v = -7*v - 4*v. Let y = 2 + v. Let 2*s + 7*s - 2*s - s**y = 0. What is s?
0, 7
Let u = -114757 + 114760. Let 0*j - 3/4*j**2 + 0 - 3/2*j**5 + 33/8*j**4 - 15/8*j**u = 0. Calculate j.
-1/4, 0, 1, 2
Factor 50/3*m**2 + 1/3 + 9*m.
(2*m + 1)*(25*m + 1)/3
Let r = -76 + 87. Suppose -r*i + 920 = -3480. Factor i + 3125*o**5 - 2140*o + 10625*o**4 - 2472*o + 1010*o - 318*o - 22000*o**3 + 14200*o**2.
5*(o + 5)*(5*o - 2)**4
Determine a, given that 196 - 554*a + 10/9*a**3 + 1436/9*a**2 = 0.
-147, 2/5, 3
Factor 380945*i**2 + 2*i - 28*i + 380946*i**2 - 761893*i**2 + 144 + 36.
-2*(i - 5)*(i + 18)
Let w be (-9922)/(-4)*(-3)/((-45)/(-30)). Let o be w/(-410) + 1/(-10). Factor -6*z + 3/4*z**2 + o.
3*(z - 4)**2/4
Let d(g) = 56*g**3 - 96*g**2 + 7*g + 33. Let b(m) = 7*m**3 - 12*m**2 + m + 4. Let k = 144 + -150. Let j(u) = k*d(u) + 51*b(u). Find s, given that j(s) = 0.
-2/7, 1
Let n be (0*19/(-33 - -14))/1. Determine x so that 8/3*x + 37/3*x**3 + 4/3*x**4 + n + 41/3*x**2 = 0.
-8, -1, -1/4, 0
Let w be (19/2)/((-5)/(550/33)). Let a = -30 - w. Factor -10/3 + 5/3*c + a*c**2.
5*(c - 1)*(c + 2)/3
Let l be 7846/(-1340) + (-25)/(100/(-24)). Let j = -3/67 + l. What is q in -2/5 - j*q**2 - 1/2*q = 0?
-4, -1
Suppose 4*a - 39 = 2*r - 11, -5*a + 38 = -3*r. Let l(z) be the first derivative of 5/7*z**2 + 1/14*z**a - 4/7*z - 13 - 8/21*z**3. Factor l(h).
2*(h - 2)*(h - 1)**2/7
Suppose -584/9*l + 4/9*l**2 + 0 = 0. What is l?
0, 146
Factor 15*y**4 + 6201310 + 174*y + 693*y**2 - 882*y**3 - 6201310.
3*y*(y - 58)*(y - 1)*(5*y + 1)
Let i = -234 - -255. Factor 373*d**2 - 771*d**2 - 14*d**3 + i*d + 22 - 7*d**3 + 375*d**2 + d**4.
(d - 22)*(d - 1)*(d + 1)**2
Let m = -201298/15 + 13420. Let z(x) be the second derivative of 1/10*x**4 + m*x**3 + 0 - 6/25*x**5 + 0*x**2 + 7/75*x**6 - 8*x. What is n in z(n) = 0?
-2/7, 0, 1
Let f(u) be the first derivative of -u + 1/2*u**4 + 37 - 4/3*u**3 - 2*u**2 + 1/3*u**6 + u**5. Factor f(v).
(v - 1)*(v + 1)**3*(2*v + 1)
Factor -17*k**5 + 2*k**3 + 28*k - 10*k - 18*k - 12*k**4 - 21*k**4.
-k**3*(k + 2)*(17*k - 1)
Let p = -46164 + 46167. Determine n, given that 0 + 0*n - 3/5*n**2 + p*n**3 = 0.
0, 1/5
Let z = 14998/15 - 204848/165. Let x = 242 + z. Let -x - 6*n**3 - 6/11*n + 76/11*n**2 = 0. Calculate n.
-2/11, 1/3, 1
Suppose 673 - 162 = 73*r. Let a be r/6*((-5085)/(-420) + -12). Factor 1/8 + 3/8*c**2 - a*c**3 - 3/8*c.
-(c - 1)**3/8
Find i, given that -9*i**4 + 122*i**2 - 67*i**2 - 6*i + 0 - 776*i**3 + 0 + 768*i**3 = 0.
-3, 0, 1/9, 2
Let y(h) be the first derivative of 0*h**2 - 4*h + 21 + 3*h**5 - 8/15*h**6 - 8/3*h**4 - 2*h**3. Let i(m) be the first derivative of y(m). Solve i(d) = 0 for d.
-1/4, 0, 1, 3
Let g be (-38)/133 + (-5)/(-7). Let f(b) be the first derivative of 24 - g*b**4 - 2/7*b**2 - 4/7*b**3 - 4/35*b**5 + 0*b. Solve f(d) = 0 for d.
-1, 0
Let h = 995/32776 + -3/136. Let b = 4324/1687 + h. Determine z, given that -2/7 + 16/7*z + b*z**2 = 0.
-1, 1/9
Suppose -24 = -8*p - 4*p. Factor 7*o**2 + p + o**3 + 2 - 2 + 10*o - 2.
o*(o + 2)*(o + 5)
Let z(r) be the first derivative of 314432*r + 57 - 6936*r**2 - 1/4*r**4 + 68*r**3. Determine p, given that z(p) = 0.
68
Let u(i) be the second derivative of -5*i**7/399 - 18*i**6/95 - 71*i**5/95 + 58*i**4/57 + 145*i**3/19 - 350*i**2/19 - 1103*i. Suppose u(c) = 0. Calculate c.
-5, -14/5, 1
Let d(m) = -4*m**2 - m + 5. Let q be d(0). Suppose -q*w = 4*s + 6 - 11, 2*w - 4*s - 30 = 0. Solve -17/2*b**3 + 0*b**2 + 0 + 2*b + 9*b**4 - 5/2*b**w = 0.
-2/5, 0, 1, 2
Let g(l) be the first derivative of l**6/12 + 11*l**5/10 - 3*l**4/8 - 35*l**3/6 - 11*l**2/2 - 1352. Let g(h) = 0. What is h?
-11, -1, 0, 2
Let o = -48127 + 144382/3. Suppose o*m**4 + 2/3*m**2 - 4/3*m + 4/3*m**3 - 1 = 0. What is m?
-3, -1, 1
Let j(p) be the first derivative of 62 + 66*p - 14*p**2 + 2/3*p**3. Factor j(n).
2*(n - 11)*(n - 3)
Suppose -2*n + 5 = -4*i + 5*i, -4*i - 10 = -2*n. Let u be (4 - -1) + (42/(-3) - -11). Factor -6*p**u - 19*p + 78*p - 18*p - 23*p - 2*p**n + 54.
-2*(p - 3)*(p + 3)**2
Let d(j) be the first derivative of -j**8/84 + j**7/21 - j**6/15 + j**5/30 - j**2 + 37*j + 29. Let h(k) be the second derivative of d(k). Factor h(p).
-2*p**2*(p - 1)**2*(2*p - 1)
Find t, given that -73*t**3 + 84*t**3 - 3360*t + 856*t**2 - 15*t**3 = 0.
0, 4, 210
Let f = -1882358 + 3764729/2. Suppose f*b**2 + 7 + 55/4*b - 1/4*b**3 = 0. Calculate b.
-1, 28
Let r(z) be the third derivative of -z**5/15 + 369*z**4 - 816966*z**3 - 3569*z**2. Factor r(s).
-4*(s - 1107)**2
Let c be -20 + (8151/405 - 30/(-405)). Suppose c*v**3 + 0 + 0*v - 2/5*v**2 + 2/5*v**4 - 1/5*v**5 = 0. Calculate v.
-1, 0, 1, 2
Suppose -2*w = 2*q - w + 86, 3*w - 162 = 4*q. Let t = q + 46. Factor -5*f - 35*f**2 - 32*f**2 + 52*f**2 - 5*f**t - 15*f**3.
-5*f*(f + 1)**3
Find d such that -3/2*d**5 + 1/3 - 2/3*d**2 + 1/3*d**4 - 3/2*d + 3*d**3 = 0.
-1, 2/9, 1
Let q = -292 - -294. Let -414*t**3 + 645*t**q + 121*t**4 + 36 - 75*t**3 - 204*t - 224*t**2 + 115*t**3 = 0. Calculate t.
6/11, 1
Let t(z) = z**2. Let q(g) = -5*g**2 - 15*g - 23. Let w(x) = -12*x**2 - 30*x - 47. Let d(h) = 7*q(h) - 3*w(h). Let y(j) = -d(j) - 4*t(j). Factor y(u).
-5*(u - 4)*(u + 1)
Let x(y) be the second derivative of y**5/120 - 47*y**4/36 - 200*y**3/9 - 136*y**2 - 1941*y + 2. Factor x(c).
(c - 102)*(c + 4)**2/6
Suppose -6*q + 10*q = -260. Let y = q - -67. Find g, given that 54*g**y - 42*g**3 - 2 - 1 - 19*g + 10*g - 51*g**4 + 45*g**5 + 6*g = 0.
-1, -1/5, 1/3, 1
Let q = 30 + -36. Let w(u) = -u**2 - 10*u - 12. Let c be w(q). Factor -c*r - 5*