 + 0*d**2 + 18/17*d**3 + 12/17*d**q + 0.
2*d**3*(d + 3)**2/17
Let k(i) be the third derivative of 29/96*i**6 + 0*i + 25/16*i**4 + 43/48*i**5 + 5/1344*i**8 + 0 - 13*i**2 + 5/3*i**3 + 3/56*i**7. Let k(t) = 0. Calculate t.
-4, -2, -1
Determine v, given that -104/3*v - 2/3*v**2 - 1352/3 = 0.
-26
Suppose 0 = -649*p + 2 - 0 - 2. Let f(m) be the third derivative of 1/330*m**5 + p + 2/33*m**3 - 1/44*m**4 + 0*m + 15*m**2. Factor f(u).
2*(u - 2)*(u - 1)/11
Let o(n) = 18*n**3 - 122*n**2 - 720*n + 68. Let q(w) = 18*w**3 - 120*w**2 - 718*w + 70. Let x(y) = -5*o(y) + 6*q(y). What is s in x(s) = 0?
-4, 1/9, 10
Solve 323208 + 461713*w**2 + 162*w**5 - 55189*w**4 + 6508718*w**3 - 2588880*w + 3200113*w**2 - 36949*w**4 + 27104*w**4 = 0.
-1, 2/9, 201
Let n(k) = -k**3 + 19*k**2 - 41*k - 64. Let r be n(16). Suppose 14*g = r*g - 102. Factor 3/5*s**g - 6/5 - 14/5*s**2 + 17/5*s.
(s - 3)*(s - 1)*(3*s - 2)/5
Let d(f) be the second derivative of 15 + 0*f**2 + 3/28*f**4 - 3/140*f**5 - 1/7*f**3 + 2*f. Solve d(n) = 0.
0, 1, 2
Let o(m) be the third derivative of -5/36*m**5 - 1/24*m**6 + 1/126*m**7 - 5/36*m**4 + 0 + 0*m**3 + 5/1008*m**8 + m**2 + 3*m. Factor o(h).
5*h*(h - 2)*(h + 1)**3/3
Let 1/5*d**5 - d**4 + 0 + 9*d**2 - d**3 - 36/5*d = 0. Calculate d.
-3, 0, 1, 3, 4
Let p = -38 - -45. Suppose 2*n = 3*a + p, -10 + 0 = -3*n + 4*a. Determine r so that r**3 + 18*r**2 - 4 + 19*r**2 - 42*r**n + 8*r = 0.
1, 2
Let h(b) be the third derivative of -b**6/60 - 7*b**5/10 - 37*b**4/4 - 91*b**3/3 + 372*b**2 + 1. Factor h(u).
-2*(u + 1)*(u + 7)*(u + 13)
Let s(i) be the first derivative of 0*i + 9/4*i**4 - 3/5*i**5 + 73 - 12*i**2 + 6*i**3. Let s(l) = 0. Calculate l.
-2, 0, 1, 4
Let n(w) be the first derivative of -1/2*w**2 - 5/12*w**3 - 1/40*w**5 - 48 - 1/6*w**4 + 18*w. Let s(r) be the first derivative of n(r). Factor s(o).
-(o + 1)**2*(o + 2)/2
Let a be (-12 - (-588)/42)/(2 + -1). Factor -18/5 + 18/5*q**a - 6/5*q + 6/5*q**3.
6*(q - 1)*(q + 1)*(q + 3)/5
Factor -88*d**2 + 0 + 0*d - 4/7*d**3.
-4*d**2*(d + 154)/7
Factor 791*j**2 + 0 + 625681*j + 1/4*j**3.
j*(j + 1582)**2/4
Let a be 13 - ((-1)/(-3))/(8/24). Solve -5 + 9*r**2 - 3*r**3 + 2 + 3*r - a + 6 = 0.
-1, 1, 3
Factor 140*t**2 - 657*t + 1053/2 + 1/6*t**4 - 29/3*t**3.
(t - 39)*(t - 9)**2*(t - 1)/6
Factor 159*q - 1032*q - 137*q**2 + 2*q**3 + 435 + 317*q**2 + 261*q**2 - 5*q**3.
-3*(q - 145)*(q - 1)**2
Let c = 43 - 37. Let a(s) = 217*s + 0*s**2 - 3*s**2 - 18 - 223*s. Let x(y) = -3*y**2 - 7*y - 17. Let d(h) = c*x(h) - 5*a(h). Factor d(j).
-3*(j + 2)**2
Let o = 273541 - 273538. What is y in -12/7*y + 12/7 + 3/7*y**o - 3/7*y**2 = 0?
-2, 1, 2
Let y be (68/(-40) + 2)*-12*(-145)/72. Let -y*j + 7/4 + j**2 = 0. Calculate j.
1/4, 7
Let z be (15 - 1)*((-3930)/210 + 19). Let r(n) be the third derivative of 0*n + 1/144*n**6 + 0*n**z + 0*n**3 + 1/12*n**5 + 0 - 14*n**2. Factor r(j).
5*j**2*(j + 6)/6
Let y(r) be the second derivative of -173*r**4/54 + 181*r**3/27 - 8*r**2/9 + 2547*r. Factor y(b).
-2*(b - 1)*(173*b - 8)/9
Let j(r) be the first derivative of -1/36*r**4 + 16/27*r**3 + 0*r - 81 + 0*r**2. Suppose j(n) = 0. Calculate n.
0, 16
Let -224/3 - 88/3*b**3 - 2*b**4 - 144*b + 1/3*b**5 - 304/3*b**2 = 0. What is b?
-2, 14
Let z(r) be the first derivative of 13/5*r**5 + 0*r - 5 + 8/3*r**3 - 5/6*r**6 + 13/2*r**4 + 0*r**2. Find d such that z(d) = 0.
-1, -2/5, 0, 4
Solve 123/7*j**4 + 8/7*j + 0 - 486/7*j**2 - 53*j**3 = 0 for j.
-1, 0, 2/123, 4
Let y(v) be the first derivative of 4*v**3/9 + 14*v**2 + 147*v - 693. Factor y(t).
(2*t + 21)**2/3
Let s be (33 + 2548/(-84))*(3/6 - -1). Let o(x) be the first derivative of 16*x**s - 64*x + 32/3*x**3 - 32*x**2 + 2/3*x**6 + 35 + 28/5*x**5. Solve o(y) = 0.
-2, 1
Let g be (6*1)/(42/16 + 342/912). Let t(z) be the first derivative of 1/8*z**4 + 1/4*z**g + 0*z + 1/3*z**3 - 13. Factor t(k).
k*(k + 1)**2/2
Let r(n) = -n**2 + 4*n + 13. Let a be r(5). Let q be (-104)/(-20) + a/(-40). Factor -36*d**2 + 33*d**2 - 3*d**4 + d**4 + q*d**4.
3*d**2*(d - 1)*(d + 1)
Factor 87/4*q - 153 - 3/4*q**2.
-3*(q - 17)*(q - 12)/4
Suppose 16*d - 29*d + 5473 = 0. Let z = d + -419. Factor -2/3*f**z - 10/3*f - 4.
-2*(f + 2)*(f + 3)/3
Let b(a) be the first derivative of a**5/25 + 197*a**4/20 - 40*a**3/3 - 198*a**2/5 - 234. Find p, given that b(p) = 0.
-198, -1, 0, 2
Let v(r) = 10*r**3 - 3720*r**2 + 1160646*r - 120320924. Let j(m) = -9*m**3 + 3722*m**2 - 1160647*m + 120320924. Let s(c) = 6*j(c) + 5*v(c). Factor s(b).
-4*(b - 311)**3
Let z = -95 - -100. Let q be z/(-15)*9/(-6). Determine s so that -q*s**2 - 1/6*s**3 - 1/2*s - 1/6 = 0.
-1
Let j(l) be the second derivative of 18*l**5/25 + 58*l**4/5 + 841*l**3/15 - 196*l + 5. Solve j(y) = 0 for y.
-29/6, 0
Let x(l) = -3*l**3 - 21*l**2 + 6*l. Let r(m) be the third derivative of -m**6/30 - m**5/3 + m**4/6 - 52*m**2. Let k(p) = -6*r(p) + 5*x(p). Factor k(g).
3*g*(g + 1)*(3*g + 2)
Let u(a) be the second derivative of 1/3*a**4 - 4/3*a**3 + 1 - 2/15*a**6 + 5*a + 0*a**2 + 2/5*a**5. Factor u(v).
-4*v*(v - 2)*(v - 1)*(v + 1)
Let d = 414 - 402. Suppose 15 = 5*y + a, 5 = 3*y - a - d. Suppose 1 - l**3 + l**y - 2*l**2 + 1/2*l + 1/2*l**5 = 0. What is l?
-2, -1, 1
Let k(c) = -11201*c + 123213. Let s be k(11). Find j such that 32/3*j**s + 22/3*j**4 + 52/3*j**3 + 2/3*j**5 + 0 + 0*j = 0.
-8, -2, -1, 0
Let r(u) = -u**3 - 7*u**2 - 21*u - 36. Let s be r(-7). Factor 8*k + s*k**4 - 108*k**4 - 9*k**3 + 11*k - 7*k.
3*k*(k - 2)**2*(k + 1)
Let v(r) be the third derivative of 0 + 1/1380*r**6 - 7*r - 3*r**2 + 2/23*r**4 - 16/69*r**3 - 3/230*r**5. Factor v(m).
2*(m - 4)**2*(m - 1)/23
Let y(b) = -7*b**3 - 14*b**2 + 11*b + 2. Let u(l) = -22*l**3 - 43*l**2 + 33*l + 4. Let v(o) = 2*u(o) - 7*y(o). Let v(s) = 0. Calculate s.
-3, -2/5, 1
Factor -148*y - 224/3 + 1/3*y**4 - 272/3*y**2 - 17*y**3.
(y - 56)*(y + 1)*(y + 2)**2/3
Let y(f) = 2*f**2 - 270*f + 3808. Let t(p) = -p**2 + 179*p - 2539. Let i(w) = -8*t(w) - 5*y(w). Find v such that i(v) = 0.
-53, 12
Determine a so that -16/7*a**5 + 3676/7*a**2 + 44/7*a**4 + 4020/7*a + 792/7 + 1084/7*a**3 = 0.
-3, -2, -1/4, 11
Let o(s) be the second derivative of 40/3*s**3 + 1/12*s**4 + 2*s + 800*s**2 + 3. Let o(r) = 0. What is r?
-40
Factor -87/4*y**2 - 225/4 + 309/4*y + 3/4*y**3.
3*(y - 25)*(y - 3)*(y - 1)/4
Find m, given that 1020 + 82*m**2 - 648*m**2 + 37*m + 51*m**2 + 4*m**3 + m**3 + 463*m = 0.
-1, 2, 102
Let i be (-1 - 0/4) + 207/3. Suppose 0 = 30*j - 47*j + i. Determine z, given that -4/9*z**2 - 2/9*z**j + 0 + 0*z + 2/3*z**3 = 0.
0, 1, 2
Solve 47*f + 45*f - 4*f**2 - 16*f + 36*f + 240 = 0 for f.
-2, 30
Let w(f) be the second derivative of -f**7/14 - 38*f**6/5 - 333*f**5/10 - 55*f**4 - 73*f**3/2 + 7*f + 31. Solve w(r) = 0.
-73, -1, 0
Factor -53/7 - 52/7*f + 1/7*f**2.
(f - 53)*(f + 1)/7
Let f(p) be the second derivative of -p**7/378 - 17*p**6/90 - 67*p**5/18 - 7*p**4/2 + 2975*p**3/54 - 625*p**2/6 + 229*p. Find h, given that f(h) = 0.
-25, -3, 1
Let i(l) be the third derivative of -l**5/30 - 187*l**4/4 - 560*l**3/3 - 91*l**2 + 3*l. What is v in i(v) = 0?
-560, -1
Let r = 1096 - 1092. Let s(d) be the second derivative of 0*d**2 + 0 - 7*d**r + d + 6*d**3 + 16/5*d**5 - 8/15*d**6. Factor s(n).
-4*n*(n - 1)*(2*n - 3)**2
Let h(k) = -2*k**3 - 12*k**2 - 19*k + 4. Let c be h(-8). Let z = -410 + c. Factor 0 - 8/7*d**z + 4/7*d + 4/7*d**3.
4*d*(d - 1)**2/7
Let p(c) be the first derivative of c**6/9 + 122*c**5/15 + 160*c**4 + 200*c**3 - 12180. Factor p(j).
2*j**2*(j + 1)*(j + 30)**2/3
Let x be 283/195 + 120/(-2340). Factor 9/5*a**2 - 12/5*a - 4/5 + x*a**3.
(a - 1)*(a + 2)*(7*a + 2)/5
Find c such that -10884 + 33*c - 8*c**3 + 3*c**4 - c**3 + 10866 - 9*c**2 = 0.
-2, 1, 3
Let m = -305114 + 2130193/7. Let h = m - -801. Let 2/7*c**3 - 10/7*c - 6/7 - h*c**2 = 0. Calculate c.
-1, 3
Suppose 0 = -3*h + 2*t + 4, 7*h - 6*h - 4*t + 2 = 0. Let v be 1/((h - 1) + 2/(-3)). Solve -8/5 + 4/5*f**v + 0*f**2 - 12/5*f = 0.
-1, 2
Let d = 894 - 888. Let n(s) be the second derivative of 0*s**5 + 0*s**2 - 1/10*s**d + 0*s**4 + 13*s + 3/14*s**7 + 0*s**3 + 0. Determine i so that n(i) = 0.
0, 1/3
Let b(x) = -12*x - 348. Let p be b(-28). Let z(u) = -31*u**2 - 377*u - 10. Let v be z(p). Determine r, given that v*r + 6*r**3 - 30*r**2 + 0 - 2/5*r**4 = 0.
0, 5
Let j(t) be the first derivative of 4*t**3/3 - 42*t**2 - 589. Factor j(c).
4*c*(c - 21)
Let p be