- k*j - 1/4*j**3 + 2.
-(j - 1)*(j + 2)*(j + 4)/4
Suppose 132*a - 136*a = -80. Find d, given that 4*d**2 - 23*d**4 + 48*d**4 + 30*d - 20*d**4 + d**2 - a*d**3 = 0.
-1, 0, 2, 3
Let i(z) be the third derivative of 0*z**3 - 29*z**2 + 0 + 1/24*z**4 - 1/60*z**5 - 1/160*z**6 + 0*z. Factor i(a).
-a*(a + 2)*(3*a - 2)/4
Let h be 168/24 - (-51)/9 - (-72)/(-6). Determine q so that h*q**2 - 2/9*q**3 + 0 - 4/9*q = 0.
0, 1, 2
What is o in -696*o**2 - 2970*o - 2997 - 276*o**2 - 102*o**3 - 63*o**4 + 64*o**4 = 0?
-3, 111
Let g be 3 + 12 - ((-2132)/(-182) + 12/42). Factor -6/5 + 6/5*m**2 + 3/5*m - 3/5*m**g.
-3*(m - 2)*(m - 1)*(m + 1)/5
Let f(h) be the second derivative of -h**7/63 - 5*h**6/9 + 9*h**5/10 + 25*h**4/18 - 26*h**3/9 - 396*h. Solve f(i) = 0 for i.
-26, -1, 0, 1
Let k(r) be the first derivative of -2*r**6/3 - 148*r**5/5 - 522*r**4 - 4536*r**3 - 18954*r**2 - 26244*r + 5199. Factor k(o).
-4*(o + 1)*(o + 9)**4
Let l(t) be the second derivative of 2 - 1/85*t**5 + 2/51*t**3 + 1/34*t**4 + 30*t + 0*t**2. Factor l(i).
-2*i*(i - 2)*(2*i + 1)/17
Let q(h) be the third derivative of -h**8/1680 + h**7/175 + 27*h**6/200 + 13*h**5/30 + 3*h**2 + 556*h + 2. Solve q(y) = 0 for y.
-5, -2, 0, 13
Solve 4801*b**2 + 964*b**3 + 16943*b**2 + 4*b**4 + 1724*b**2 + 34128*b**2 - 58564*b = 0.
-121, 0, 1
Let d(c) = 6*c**2 + 75*c - 150. Suppose 5*j = 25, 2*j = 5*g - 8*g + 4. Let v(l) = 5*l**2 + 73*l - 150. Let x(k) = g*d(k) + 3*v(k). Factor x(t).
3*(t - 2)*(t + 25)
Suppose 0 = 15*n + 2*n + 4148. Let o = n + 6108/25. Let o*i**2 + 2/25 - 8/25*i = 0. Calculate i.
1/2
Let n(k) be the first derivative of -k**4/8 - 14*k**3/3 - 205*k**2/4 - 225*k + 1359. Factor n(c).
-(c + 5)**2*(c + 18)/2
Solve -52*m + 22*m**2 + 31 + 4*m**3 - 6*m**3 + 1 = 0.
1, 2, 8
Factor 25*y**4 - 3*y**3 - 25*y**2 + 53 + 2*y**3 + 15*y**5 - 53 - 14*y**5.
y**2*(y - 1)*(y + 1)*(y + 25)
Let j(w) = 3*w**2 + 163*w - 3528. Let p(q) = 40*q**2 + 29*q**2 - 65*q**2 - 3528 + 162*q. Let o(h) = -6*j(h) + 5*p(h). Factor o(l).
2*(l - 42)**2
Let u(c) = -24*c + 2688. Let x be u(112). Let y(p) be the second derivative of x + 9*p + 0*p**2 + 0*p**3 - 1/6*p**4. Solve y(b) = 0.
0
Let q(j) = -j**3 - 15*j**2 - 44*j - 8. Let s be q(-10). Let t = s + 163/2. Let 5/3*h**5 - t*h**4 + 36*h**3 - 185/6*h**2 + 6 - 4*h = 0. What is h?
-2/5, 1/2, 2, 3
Suppose -4*z + 4 = 4*q, 0 = -4*q + 309 - 321. Determine x so that -12/7*x**z - 88/7*x**3 - 28*x**2 - 32/7 - 152/7*x = 0.
-4, -2, -1, -1/3
Let z(m) be the second derivative of -m**6/360 + m**5/20 + 7*m**4/24 - 19*m**3/6 - m**2 + m. Let c(j) be the second derivative of z(j). Solve c(v) = 0.
-1, 7
Let z = 12832 - 12830. Let n(m) be the second derivative of -1/27*m**4 + 1/90*m**5 - 16*m + 0 - 8/27*m**3 + 0*m**z. Let n(o) = 0. What is o?
-2, 0, 4
Let o(w) = -27*w + 189. Let j be o(5). Suppose 4*a - 4*h - 32 = 0, -4*a + 49*h - 13 = j*h. Factor 0*n - 3/5*n**2 + 1/5 + 2/5*n**a.
(n - 1)**2*(2*n + 1)/5
Let p(v) be the second derivative of -3*v**5/160 - 15*v**4/32 - 27*v**3/16 + 729*v**2/16 + 160*v + 1. Factor p(c).
-3*(c - 3)*(c + 9)**2/8
Let r = 441 + -331/3. Let g = -1981/6 + r. Suppose -1 + g*h**3 - 1/2*h + h**2 = 0. What is h?
-2, -1, 1
Let g(d) be the second derivative of 2 + 1/90*d**4 - 11*d - 1/15*d**3 - 4/15*d**2. Let g(r) = 0. What is r?
-1, 4
Let k = 54 - 47. Suppose 0 = k*p - 6*p - 3. Suppose -5*i**2 + 4 - 5*i + p - 7 = 0. What is i?
-1, 0
Let c(t) be the second derivative of -5/12*t**4 + 45/2*t**2 - 4 + 4*t + 0*t**3. Factor c(l).
-5*(l - 3)*(l + 3)
Let m(p) = -4*p**2 + 159*p - 1170. Let f be m(30). Factor 0 + f*j**2 - 1/7*j**5 - 1/7*j**3 - 2/7*j**4 + 0*j.
-j**3*(j + 1)**2/7
Suppose 4/3*t**2 - 336 + 108*t = 0. Calculate t.
-84, 3
Let n(k) = 46324*k - 277940. Let i be n(6). What is q in 2*q**3 + 18/7*q**2 - 16/7*q - 18/7*q**i + 2/7*q**5 + 0 = 0?
-1, 0, 1, 8
Let x be 6/(-7)*6/27*-49. Let m(v) be the first derivative of x*v**2 + 1 + 1/9*v**4 - 50/27*v**3 - 8*v. Factor m(c).
2*(c - 6)**2*(2*c - 1)/9
Let v(t) be the third derivative of t**5/80 + 45*t**4/8 + 89*t**3/2 - 1189*t**2. Determine u so that v(u) = 0.
-178, -2
Let l(t) be the second derivative of -60*t + 0*t**2 + 1/10*t**6 + 0 + 0*t**5 + 0*t**4 + 1/14*t**7 + 0*t**3. Factor l(o).
3*o**4*(o + 1)
Let p be ((-9584)/(-189284))/(4/158). Determine v so that -2/21*v + 0 - 2/21*v**3 - 4/21*v**p = 0.
-1, 0
Let u be 3/9 - (17 + -15)/24. Let v(x) be the first derivative of 0*x + 1/15*x**5 + 2/9*x**3 + 0*x**2 - 20 + u*x**4. Solve v(s) = 0.
-2, -1, 0
Suppose 97 + 112 - 41 + 544*z**2 - 147*z + 264*z**3 + 647*z + 4*z**5 - 3429*z**4 + 3485*z**4 = 0. Calculate z.
-7, -3, -2, -1
Suppose -2*w = 4*z - 54, 0 = -z - 13537*w + 13538*w - 21. Factor -8/5*i + 26/15 - 2/15*i**z.
-2*(i - 1)*(i + 13)/15
Let l(s) be the second derivative of 3*s**5/20 - 35*s**4/4 + 75*s**3 + 308*s. Factor l(y).
3*y*(y - 30)*(y - 5)
Let u be 100/75*(-18)/(-8). Suppose 0 = -x + 5*x - 32. What is h in 15*h**u + 2*h - 21*h**3 + 10*h**3 - 16*h**2 + 18*h - x = 0?
1, 2
Let p(q) be the second derivative of -q**7/2520 - 7*q**6/1080 + q**5/72 + 29*q**4/6 + q**3/3 + 76*q. Let s(a) be the third derivative of p(a). Factor s(o).
-(o + 5)*(3*o - 1)/3
Let f(q) be the second derivative of -q**5/60 - 43*q**4/36 - 161*q**3/6 - 147*q**2/2 + 4*q + 179. Factor f(k).
-(k + 1)*(k + 21)**2/3
Determine q so that 16*q**4 - 167/2*q - 11*q**3 - 18 - 3/2*q**5 - 94*q**2 = 0.
-1, -1/3, 4, 9
Let z(n) = -29*n**4 + 5226*n**3 + 56*n**2 - 20644*n + 20. Let k(u) = 13*u**4 - 2323*u**3 - 25*u**2 + 9175*u - 9. Let f(c) = 20*k(c) + 9*z(c). Factor f(x).
-x*(x - 574)*(x - 2)*(x + 2)
Let z(w) = 10*w**4 - w**3 + w**2 - w - 1. Let d(h) = 51*h**4 + h**3 - 10*h**2 - 49*h + 79. Let s(x) = d(x) - 5*z(x). Let s(m) = 0. Calculate m.
-7, -3, 2
Let p be 7/((-147)/(-54)) + 16/392*-14. Factor 2/3*r**p - 26 + 76/3*r.
2*(r - 1)*(r + 39)/3
Let t(o) be the first derivative of -5*o**5 + 15*o**4/4 + 410*o**3/3 + 330*o**2 + 200*o - 1016. Solve t(l) = 0 for l.
-2, -2/5, 5
Factor 22*h - 2/5*h**2 - 212/5.
-2*(h - 53)*(h - 2)/5
Let s(t) be the first derivative of 3*t**4/4 - 65*t**3 + 96*t**2 + 1214. Factor s(u).
3*u*(u - 64)*(u - 1)
Let l(d) = -3*d**3 - 4*d**3 - 3*d**2 - 6*d + 18*d + d**4 - 7*d + 5. Let q(m) = 8*m**3 - 3*m**2 - 3 - 4*m + 7*m**2 - 1. Let s(f) = -4*l(f) - 5*q(f). Factor s(h).
-4*h**2*(h + 1)*(h + 2)
Let o = -2929 - -2931. Suppose x = -3*b + 1 + 93, 5*b + 4*x = 152. Factor -11*t**2 + t**2 - 36*t + 6*t**o - b.
-4*(t + 1)*(t + 8)
Let o = -34802 + 243647/7. Factor 9/7*t**2 + 18/7 - o*t.
3*(t - 3)*(3*t - 2)/7
Let g(d) be the third derivative of -d**7/42 - 9*d**6/8 - 41*d**5/2 - 1025*d**4/6 - 500*d**3 + 612*d**2. Suppose g(m) = 0. Calculate m.
-10, -6, -1
Let v = 180494687/679 - 265824. Let s = v - -3/679. Factor 4/7*h + s + 2/7*h**2.
2*(h + 1)**2/7
Let u(w) be the third derivative of -w**5/6 + 7*w**4/8 - w**2. Let l(h) = 12*h - h + 30*h**2 - 35*h**2. Let z(q) = 11*l(q) - 6*u(q). Let z(s) = 0. What is s?
0, 1
Let p(x) = -3*x**2 + 26*x - 9. Let u(f) = 5*f**2 - 26*f. Let m(a) = -6*p(a) - 4*u(a). Suppose m(k) = 0. What is k?
-27, 1
Factor -1/7*c**2 + 79/7*c - 228/7.
-(c - 76)*(c - 3)/7
Suppose -2*x + 10 = -2*z, 2*x + 6*z - 5*z = 4. Let r be (28 - 28)/((-2 + x)*-1). Suppose r + 8/9*m - 2/3*m**3 + 8/9*m**4 - 8/9*m**2 - 2/9*m**5 = 0. Calculate m.
-1, 0, 1, 2
Let a(m) = 9*m**2 - 4*m + 6. Let h(y) = -2*y**2 + y**2 + 0*y**2 - 8 + 6*y**2 + 4*y - 13*y**2. Let k(c) = -4*a(c) - 3*h(c). Determine l, given that k(l) = 0.
0, 1/3
Let v = 225 - 223. Let -2 + 56*d**2 - 57*d**v + d + 2*d = 0. What is d?
1, 2
Let n(z) = -2*z**5 - 34*z**4 - 212*z**3 - 476*z**2 - 418*z - 122. Let r(t) = t**4 + 4*t**3 - 2*t + 1. Let j(p) = -n(p) + 4*r(p). Factor j(h).
2*(h + 1)**3*(h + 7)*(h + 9)
Factor 22 + 122/5*v + 2*v**2 - 2/5*v**3.
-2*(v - 11)*(v + 1)*(v + 5)/5
Let k(y) be the first derivative of 2/3*y**4 - 4/3*y + 1/9*y**6 - 5/3*y**2 + 8/15*y**5 - 4/9*y**3 + 87. Factor k(x).
2*(x - 1)*(x + 1)**3*(x + 2)/3
Let p(q) = 4*q**3 + 227*q**2 + 1589*q + 3040. Let s(c) = c**2 + c. Let g(w) = p(w) - 5*s(w). Let g(m) = 0. What is m?
-95/2, -4
Let p(w) be the first derivative of 7*w**4/4 + 529*w**3 - 1025*w**2 + 456*w + 2379. Determine h so that p(h) = 0.
-228, 2/7, 1
Suppose 311/2*r**4 - 5/2*r**5 + 0 - 4187/2*r**3 + 2178*r - 20955/2*r**2 = 0. What is r?
-4, 0, 1/5, 33
Suppose -g + 27 - 33 = 0, 5*g + 30 