- 2*o**2 + 5*o - o**y - 4*o**2 - 3 + 12*o**2 = 0. What is o?
-3, 1
Let y(t) = 3*t**2 + 118*t + 51. Let k be y(-42). Determine f so that -791*f**3 - 52*f**3 - 2229*f**3 - 6336*f**2 - k*f - 6 = 0.
-2, -1/32
Let c(w) = 4*w**4 + 57*w**3 - 147*w**2 - 175*w - 5. Let g(d) = 2*d**4 + 28*d**3 - 72*d**2 - 88*d - 2. Let l(f) = -2*c(f) + 5*g(f). Solve l(o) = 0 for o.
-15, -1, 0, 3
Let o(b) = b**2 - b + 1. Let n(g) be the third derivative of g**6/60 - g**5/15 + g**4/12 + g**3/3 + g**2 + 33. Let i(y) = -n(y) + 2*o(y). Factor i(l).
-2*l*(l - 2)*(l - 1)
Let -768/5 - 172/5*o**2 - 832/5*o - 2*o**3 = 0. Calculate o.
-8, -6/5
Let q be 12/(-27) - 41/((-38745)/39300). Let h(x) be the second derivative of -33*x + 0 - 16/7*x**3 - q*x**2 - 1/21*x**4. Solve h(n) = 0 for n.
-12
Let s(h) = 9*h**2 + 586*h - 1131. Let m be s(-67). Let -m*t + 2/5 - 42/5*t**2 = 0. Calculate t.
-1, 1/21
Let t = 3568 - 3568. Factor 16/7*g**3 - 8/7*g**2 + t*g + 2/7*g**5 + 0 - 10/7*g**4.
2*g**2*(g - 2)**2*(g - 1)/7
Let v(f) = -9*f**2 - 110*f + 3259. Let q(o) = 23*o**2 + 218*o - 6523. Let m(r) = -4*q(r) - 10*v(r). Factor m(j).
-2*(j - 57)**2
Let v(t) be the first derivative of 44/27*t**3 - 8/3*t**2 - 4/9*t**4 - 30 + 2/45*t**5 + 2*t. Factor v(p).
2*(p - 3)**2*(p - 1)**2/9
Let a(w) be the third derivative of w**6/240 + w**5/40 - 37*w**4/8 - 56*w**3/3 - 2*w**2 + 84. Suppose a(j) = 0. What is j?
-16, -1, 14
Let c(q) be the first derivative of -19*q**4/16 + 145*q**3/4 + 251*q**2/4 + 12*q + 2175. Factor c(p).
-(p - 24)*(p + 1)*(19*p + 2)/4
Let q(z) be the third derivative of -1/210*z**5 + 0*z - 23/420*z**6 - 4/21*z**3 + 1/147*z**7 + 4/21*z**4 - 40*z**2 + 1/168*z**8 + 2. Let q(o) = 0. What is o?
-2, -1, 2/7, 1
Suppose 38*u - 116 + 40 = 0. Let c(g) be the third derivative of -11*g**u - 1/280*g**6 + 1/7*g**3 + 0 - 5/56*g**4 + 1/35*g**5 + 0*g. Factor c(j).
-3*(j - 2)*(j - 1)**2/7
Let r = 70356 - 70352. Determine g, given that 5/4*g + 1/4 + 5/2*g**2 + 1/4*g**5 + 5/4*g**r + 5/2*g**3 = 0.
-1
Let u(j) be the second derivative of j**4/6 + 1234*j**3 + 3426201*j**2 - 10*j - 24. Factor u(h).
2*(h + 1851)**2
Let l(p) be the first derivative of -p**4/30 + p**2/5 + 95*p - 26. Let x(t) be the first derivative of l(t). Determine z so that x(z) = 0.
-1, 1
Solve -960/7*i**3 - 800/7 + 1320/7*i + 100/7*i**4 + 2068/7*i**2 = 0.
-4/5, 2/5, 5
Let h(s) = -350*s**3 - 16544*s**2 - 180253*s + 197180. Let x(t) = -t**3 + 3*t**2 - t - 4. Let u(d) = 4*h(d) + 44*x(d). Suppose u(l) = 0. Calculate l.
-444/19, 1
Let n(q) be the third derivative of -q**5/300 - 557*q**4/60 - 310249*q**3/30 + 1746*q**2. Factor n(z).
-(z + 557)**2/5
Let v(z) be the first derivative of -4 + 0*z + 0*z**3 + 1/60*z**6 + 0*z**4 + 1/15*z**5 - 21/2*z**2. Let y(p) be the second derivative of v(p). Factor y(a).
2*a**2*(a + 2)
Let j(v) be the first derivative of 7 + 30*v**2 - 18*v**3 - 16*v + 5/2*v**4. Let j(c) = 0. Calculate c.
2/5, 1, 4
Let i(z) be the third derivative of 77*z**2 + 0*z**3 - 2/315*z**7 + 0*z + 0*z**6 + 1/504*z**8 + 0 - 1/36*z**4 + 1/45*z**5. Solve i(m) = 0.
-1, 0, 1
Let c(r) be the second derivative of 3*r**7/14 + 16*r**6/5 - 39*r**5/20 - 11*r**4/2 - 955*r. What is t in c(t) = 0?
-11, -2/3, 0, 1
Find n, given that -1/5*n**2 + 0 + 92/5*n = 0.
0, 92
Let i = -5167 + 20673/4. Let n(c) be the first derivative of -i*c**4 - 5 + 5/2*c**2 + 4*c - 1/5*c**5 - c**3. Factor n(p).
-(p - 1)*(p + 1)**2*(p + 4)
Let o(w) be the second derivative of -5*w**7/168 + 73*w**6/60 - 497*w**5/40 - 77*w**4/3 + 845*w**3/8 - 225*w**2/4 - 4308*w. Find j such that o(j) = 0.
-2, 1/5, 1, 15
Let j(d) be the second derivative of d**9/756 - d**8/60 - 4*d**7/105 - 8*d**3 - d**2 - 49*d. Let b(w) be the second derivative of j(w). What is f in b(f) = 0?
-1, 0, 8
Suppose -7*s - 5*h + 80 = -5*s, 5*s - 158 = -2*h. Factor 8*u**4 - 3*u**4 + 1390*u**3 + s*u**2 - 1415*u**3.
5*u**2*(u - 3)*(u - 2)
Let y(h) = -22*h**3 + 1447*h**2 + 1445*h - 3. Let b(l) = -9*l**3 - l**2 - 1. Let m(u) = -3*b(u) + y(u). Factor m(i).
5*i*(i + 1)*(i + 289)
Suppose 16 = -3*x - x, 4*g - 384 = -2*x. Find v, given that 16 + 318*v**3 - 56*v**3 + 81*v**4 + g*v**3 + 160*v + 472*v**2 = 0.
-2, -2/9
Let h(d) be the second derivative of 16*d**4/15 - 1432*d**3/15 + 32041*d**2/10 + 8914*d. Factor h(p).
(8*p - 179)**2/5
Factor 110/3*v**2 - 24 + 32/3*v + 2*v**3.
2*(v + 1)*(v + 18)*(3*v - 2)/3
Factor -804/5*k - 1/5*k**2 - 161604/5.
-(k + 402)**2/5
Let s(x) = x**3 - 31*x**2 - x + 31. Suppose 684 = 11*v + 343. Let h be s(v). Let 4/17*d**2 - 8/17*d**4 - 6/17*d**5 + 2/17*d**3 + 0 + h*d = 0. What is d?
-1, 0, 2/3
Let v = 193 - -1312. Let l be (-430)/v*(8*-1)/2. Factor l + 0*g - 2/7*g**2.
-2*(g - 2)*(g + 2)/7
Let i(n) be the second derivative of 0 + 0*n**3 + 0*n**2 - 13*n - 16/315*n**6 - 1/63*n**4 + 1/63*n**7 + 11/210*n**5. Factor i(a).
2*a**2*(a - 1)**2*(7*a - 2)/21
Let q be (4 + 0*(-3)/9)*7. Suppose 0 = -6*t + q - 4. Let t*g**2 + 8 + 5 - 17 = 0. Calculate g.
-1, 1
Let w be 4*1 + (14616/396 - 32). What is d in -w + 182/11*d + 18/11*d**3 - 102/11*d**2 = 0?
1, 7/3
Let g(i) be the first derivative of -i**7/168 - i**6/72 + i**5/6 + 5*i**4/6 - 16*i**3/3 - i**2/2 - 67. Let p(r) be the third derivative of g(r). Factor p(t).
-5*(t - 2)*(t + 1)*(t + 2)
Let b be (88/16)/(-11)*-766. Let j = b - 1145/3. Factor -j + 2/3*c + 2/3*c**2.
2*(c - 1)*(c + 2)/3
Let o(k) = k**3 - k**2 - 1. Let t(m) = 24 + 0*m**2 + 6*m**3 + 4*m**2 - 29. Let w(u) = 5*o(u) - t(u). Factor w(q).
-q**2*(q + 9)
Let g be 6/(-33) - 720/(-330). Determine t, given that 487*t - 1173*t**4 - 1300*t**2 - 1052*t**g - 1228*t**4 + 2387*t**3 + 73*t - 48 + 1729*t**3 = 0.
2/7, 6/7
Let o be (1316/(-84))/((-70)/(-30)) + 7. Let w = 6 - 4. Let o*k**3 - 8/7*k - 2/7*k**w + 8/7 = 0. What is k?
-2, 1, 2
Let h(s) be the third derivative of s**7/2100 + s**6/150 + 17*s**5/600 - s**4/120 - 2*s**3/5 + 15*s**2 - s + 36. Let h(p) = 0. What is p?
-4, -3, -2, 1
Let w be (-615)/(-70) + (-21)/(-98). Let z(n) = 8*n. Let y be z(6). Solve -31*f**3 - 48*f**2 - y*f**3 - w*f + 15*f**3 = 0 for f.
-3/8, 0
Suppose 6/7*t**4 - 135000/7 + 36426/7*t**2 - 918/7*t**3 - 13950*t = 0. What is t?
-1, 4, 75
Let i(w) be the third derivative of -5*w**7/7 + 31*w**6/12 - 59*w**5/15 + 49*w**4/15 - 8*w**3/5 - 2041*w**2. Solve i(m) = 0 for m.
2/5, 3/5, 2/3
Let a(i) be the first derivative of 2*i**3/27 - 16*i**2/9 + 40*i/3 + 512. Find t, given that a(t) = 0.
6, 10
Let t = 141 - 144. Let v(k) = -k**2 - 4*k. Let i be v(t). Solve f**5 + f**2 + f**i - 2*f**5 - 2*f**2 + f**4 = 0.
-1, 0, 1
Suppose -9*b + 181*b - 5266 + 450 = 0. Let h(k) be the first derivative of -b + 3/2*k + k**2 + 1/6*k**3. Factor h(z).
(z + 1)*(z + 3)/2
Let j = 149923 - 1049437/7. Find c, given that -2/7*c**2 + j - 22/7*c = 0.
-12, 1
Solve 8/5*p**2 + 7056/5 + 812/5*p - 1/5*p**3 = 0.
-14, 36
Let w(t) be the third derivative of -t**7/70 - 51*t**6/20 - 135*t**5 - 625*t**4 - 13*t**2 + 42*t. Factor w(m).
-3*m*(m + 2)*(m + 50)**2
Let r(o) be the first derivative of -o**5/20 + 3*o**4/16 + o**3/3 - 3*o**2/2 + 2126. Let r(k) = 0. Calculate k.
-2, 0, 2, 3
Determine c so that 17*c - 15483*c**2 + 15485*c**2 - 31*c - 340 = 0.
-10, 17
Let b(q) = 2 - 9 - q**3 + 8*q**2 + 11*q - 8 + 1. Let n be b(9). Factor 2*c - 11*c**3 + 2*c**3 + 7*c**3 - n*c**4 + 4*c**2.
-2*c*(c - 1)*(c + 1)*(2*c + 1)
Let d be 81/(-260) + 24/52. Let p(f) be the second derivative of 0 + d*f**5 - 11/4*f**4 + 35/2*f**3 - 13*f - 75/2*f**2. Factor p(c).
3*(c - 5)**2*(c - 1)
Let x be (-168)/(-252) - 8/(-6). Suppose -221*i + 207*i - 3 - 27*i**2 + 76*i**x + 4 = 0. What is i?
1/7
Factor -8/13 - 18/13*d - 2/13*d**3 - 12/13*d**2.
-2*(d + 1)**2*(d + 4)/13
Let q be 5*(-12)/(-50)*-25. Let v = 35 + q. Factor v*z + z + z**2 - 8*z.
z*(z - 2)
Let b be 14 - (12 - 2)*(-168)/(-160). Solve 1/2*l**3 + 7*l - 4 - b*l**2 = 0.
1, 2, 4
Let w(h) be the first derivative of 3*h**5/5 - 111*h**4/4 + 400*h**3 - 2016*h**2 + 1662. Factor w(i).
3*i*(i - 21)*(i - 8)**2
Suppose 34*h - 444 - 338 = 0. Factor 53*a**3 + 49*a**2 - h*a**3 - 71*a**2 + 70 - 28*a**3 + 46*a.
2*(a - 7)*(a - 5)*(a + 1)
Let u be (60/25)/(574/205). Factor 0 + 2/7*g**4 + 4/7*g**2 + 0*g + u*g**3.
2*g**2*(g + 1)*(g + 2)/7
Suppose 3*i = 52 + 2. Suppose 0 = q - 2*v + 4 - 1, 2*v = -2*q + i. Factor -b**4 - 4*b**4 + 8*b**q + 3*b**4 - 9*b**5.
-b**4*(b + 2)
Let i(v) be the second derivative of 5*v**4/12 