
Suppose 5*q + 20*l = 19*l + 9, 0 = 4*q - 4*l - 12. Factor -17*o**2 - 18*o**q + 28*o**2 + 28 - 12*o + 6*o**2.
-(o - 2)*(o + 14)
Let v(t) = t**2 + 5*t + 152. Let w(q) = 4*q**2 + 30*q + 457. Let i(a) = -21*v(a) + 6*w(a). Solve i(k) = 0 for k.
-30, 5
Let k(y) be the second derivative of -y**2 - 1/78*y**4 - 14/39*y**3 - 3 - 8*y. Determine i, given that k(i) = 0.
-13, -1
Suppose -268*l - 386*l - 87*l + 1482 = 0. Factor 5/2 + 29/2*k - 3*k**l.
-(k - 5)*(6*k + 1)/2
Let f(b) be the first derivative of -b**6/42 + 12*b**5/35 - 11*b**4/28 + 3060. Factor f(n).
-n**3*(n - 11)*(n - 1)/7
Let d(v) = 5*v**4 + 46*v**3 + 39*v**2 - 18*v - 8. Let b = -158 + 161. Let m(y) = 6*y**4 + 45*y**3 + 39*y**2 - 18*y - 6. Let r(j) = b*d(j) - 4*m(j). Factor r(u).
-3*u*(u + 2)*(u + 3)*(3*u - 1)
Let t(d) be the first derivative of -2/35*d**5 - 62 + 6/7*d + 4/7*d**2 - 4/21*d**3 - 2/7*d**4. Find m such that t(m) = 0.
-3, -1, 1
Let c(q) = 5165*q + 25825. Let f be c(-5). Let 3/5*v**4 + 0*v + f + 12/5*v**3 - 3*v**2 = 0. What is v?
-5, 0, 1
Let w(s) be the third derivative of 15*s**8/224 + 149*s**7/280 + 53*s**6/32 + 201*s**5/80 + 53*s**4/32 - s**3/4 + 2764*s**2. Let w(t) = 0. What is t?
-2, -1, 1/30
Let d = 1442 + -1411. Suppose 32*f - 5 = d*f. Suppose -711/5*l**4 - 8/5*l + 0 + 324/5*l**f + 106/5*l**3 + 44/5*l**2 = 0. Calculate l.
-1/4, 0, 2/9, 2
Let d(r) be the second derivative of -r**7/147 + 2*r**6/105 + 3*r**5/70 - 2*r**4/21 - 4*r**3/21 - 691*r. Determine z so that d(z) = 0.
-1, 0, 2
Let f(p) = 6*p**2 - 621 + p**2 + 624 - 2*p. Let l(d) = -d**2 - d - 2. Let j(m) = -f(m) - 6*l(m). Factor j(g).
-(g - 9)*(g + 1)
Suppose -18 - 1/2*x**3 - 71/4*x + 145/4*x**2 = 0. Calculate x.
-1/2, 1, 72
Let v(m) = m**3 + 4*m**2 - 14*m - 8. Let o be v(-6). What is d in 92 + 8*d**o - 31*d - 49*d - 12*d**4 + 24*d**3 - 4*d**3 - 28 = 0?
-2, 1, 2, 4
Let v(a) = 36*a**2 + a + 2. Let g be v(-1). Let f = g + -35. Factor -8*i**f + 6*i**4 - 4*i**3 + 2*i - 3 + 5 + 2*i.
2*(i - 1)**2*(i + 1)*(3*i + 1)
Let j(q) be the first derivative of -q**5/55 + 95*q**4/44 - 17*q**3/3 + 93*q**2/22 - 372. Factor j(i).
-i*(i - 93)*(i - 1)**2/11
Let a(o) = o**4 + o**2 - o. Let p(b) = 11*b**4 - 348*b**3 + 167*b**2 + 345*b - 172. Let h(f) = -3*a(f) + p(f). What is x in h(x) = 0?
-1, 1/2, 1, 43
Let v(m) = 2*m**3 + 26*m**2 + 22*m - 2. Let l(h) = h + 1. Let o(r) = 2*l(r) + v(r). Factor o(q).
2*q*(q + 1)*(q + 12)
Let b be ((-210)/25)/(5/((-50)/32)). Let s = 2 + -2. Factor -b*h**2 - 3/4*h + s - 15/8*h**3.
-3*h*(h + 1)*(5*h + 2)/8
Let i(b) be the second derivative of -b**8/840 + b**7/35 - 11*b**6/180 + 49*b**3/2 - 18*b. Let s(p) be the second derivative of i(p). Factor s(u).
-2*u**2*(u - 11)*(u - 1)
Factor 0 + 97/2*d**2 - 11/2*d**3 + 9*d.
-d*(d - 9)*(11*d + 2)/2
Let d = 368 - 371. Let h be d*5/75 + (-14)/(-10). Solve 33/5*i - 3*i**2 - h = 0.
1/5, 2
Let s = -465 + 632. Let i be (-7 - s/(-25))/(1/(-30)). Suppose -4*b**2 + i*b - 16/5 = 0. What is b?
2/5, 2
Suppose 0 = 14*l - 18*l. Suppose l = -6*a + 9 + 3. Factor -b**3 - 4*b**4 + 8 + 5*b**3 + 12*b**a + 493*b - 513*b.
-4*(b - 1)**3*(b + 2)
Determine m so that -5/3*m**3 + 38/3*m**2 - 85/3*m + 52/3 = 0.
1, 13/5, 4
Let n = -24 + 29. Suppose 1904*h - 1568 + 331*h**3 - 423*h**3 - 536*h**2 + 32*h**4 - h**5 + n*h**5 = 0. Calculate h.
-7, 2
Determine w so that -2356227*w**4 - 114*w**3 - 2873*w**2 + 16285 + 2356226*w**4 + 8915 + 22440*w = 0.
-60, -1, 7
Let b(s) be the second derivative of -s**4/9 - 30*s**3 + 4517*s. Solve b(f) = 0.
-135, 0
Let k(z) be the third derivative of -z**5/60 - 89*z**4/8 - 133*z**3/3 - 15*z**2 + 4. Determine i, given that k(i) = 0.
-266, -1
Suppose 113 + 6 = 17*q. Find d such that -9*d**3 - d**3 + 36*d**2 - q*d**3 - 2*d**3 + 16*d**3 = 0.
0, 12
Let t(i) = 2*i**3. Suppose -11 = 5*m - 3*u, -5*m + 22*u - 24*u = 1. Let a(n) = 38*n**3 + 40*n**2 - 6*n. Let c(d) = m*a(d) + 12*t(d). Factor c(q).
-2*q*(q + 3)*(7*q - 1)
Suppose 4*s - 17*s = 52. Let d(q) = -4*q - 14. Let t be d(s). Factor -p**2 + 3*p**t + 2*p**2 - p**2 + 27*p.
3*p*(p + 9)
Let t(s) be the first derivative of -3*s**5/5 + 12*s**4 - 71*s**3 + 174*s**2 - 180*s + 770. Suppose t(u) = 0. What is u?
1, 2, 3, 10
Let c(h) = 5*h**3 + 128*h**2 + 971*h + 6. Let s(l) = -15*l**3 - 388*l**2 - 2916*l - 16. Let r(g) = -8*c(g) - 3*s(g). Determine k, given that r(k) = 0.
-14, 0
Suppose 151 = -9*g + 1906. Let 51*w**3 + 392*w**2 - 75 - g*w - 885*w**2 - 6*w**4 + 430*w**2 = 0. Calculate w.
-1, -1/2, 5
Let c be (-11)/(33/(-18)) + 0. Suppose 4*f - f = c. Factor 25*n**2 + f + 7 + 30*n + 3 - 7.
5*(n + 1)*(5*n + 1)
Suppose -4*w + b - 12 = -98, 52 = 2*w - 2*b. Let o(k) be the second derivative of 0 + 1/60*k**4 + 0*k**2 - w*k - 1/15*k**3. Factor o(s).
s*(s - 2)/5
Suppose -2*h - 13 - 4 = -l, -2*h = -2*l + 28. Suppose 22*t**2 - 3*t**3 - l*t**2 + 6*t**2 - t**4 - 36 + 4*t**3 - 21*t = 0. What is t?
-4, -1, 3
Let z be 483/(-69) - (-1 - 36). Let f(t) be the first derivative of -41 + z*t**2 + 3/2*t**3 + 39/2*t. Factor f(s).
3*(s + 13)*(3*s + 1)/2
Let b(f) be the second derivative of -f**7/63 - 14*f**6/45 + 16*f**5/15 - f**4/9 - 31*f**3/9 + 16*f**2/3 - 3*f + 344. Suppose b(h) = 0. What is h?
-16, -1, 1
Let b(v) be the second derivative of 128*v**4/39 + 253*v**3/39 - 3*v**2/13 + 11*v - 29. Factor b(s).
2*(s + 1)*(256*s - 3)/13
Determine v so that 4/5*v**3 - 2/15*v**4 + 14/15*v**2 - 24/5 - 24/5*v = 0.
-2, -1, 3, 6
Let j = -409103/8 + 51138. Determine d, given that 0 - 1/8*d**4 + 0*d + j*d**3 + 1/4*d**2 = 0.
-1, 0, 2
Suppose 0 = -4*m - 5*o - 598, 146 = -m - 6*o + 3*o. Let w = m + 155. Suppose 0 + 2/5*z**w - 4/5*z**2 + 2/5*z = 0. Calculate z.
0, 1
Factor -o**5 + 469*o**2 + 21*o**4 - 585*o**3 - 1144*o**2 + 75*o**4 - 9*o**4 - 2*o**5.
-3*o**2*(o - 15)**2*(o + 1)
Suppose -16*v = -17*v + 4. Suppose 2*q - 5 + 3 = 0, -3*q + 11 = v*r. Factor 16*p**2 - 44*p + 10 + 80*p - r.
4*(p + 2)*(4*p + 1)
Let q(t) be the third derivative of -t**5/15 + 2837*t**4/3 - 16097138*t**3/3 - 2*t**2 - 2*t - 111. Determine x so that q(x) = 0.
2837
Let a = -40 + 42. Solve 3*x**a + 270*x - 303*x + 1 - 1 = 0 for x.
0, 11
Factor -394*q**2 - 176*q - 4*q**3 + 569*q**2 - 271*q**2.
-4*q*(q + 2)*(q + 22)
Let o be 8*(6/(-4))/(-3). Suppose o*x + 3*x = 35. Suppose -3*i**4 + 11*i**2 - x + 4*i**2 - 2*i**4 - 5*i**2 = 0. Calculate i.
-1, 1
Factor -2/7*u**2 - 358/7*u - 356/7.
-2*(u + 1)*(u + 178)/7
Factor 0 + 0*u**2 + 1/5*u**3 - 9/5*u.
u*(u - 3)*(u + 3)/5
Suppose 42*g**3 + 43*g**2 + 73*g**3 - 1362*g**4 + 1377*g**4 + 27*g**2 = 0. Calculate g.
-7, -2/3, 0
Let -21/5*c**2 + 594/5 - 2073/5*c = 0. Calculate c.
-99, 2/7
Suppose 0 = 17*s + 167 + 37. Let u(z) = -z**4 + z**2 - z - 1. Let h(m) = 3*m**4 + m**2 + 4*m. Let k(c) = s*u(c) - 3*h(c). Determine w, given that k(w) = 0.
-2, -1, 1, 2
Let c be 20/(-30)*(41 - 51 - (-38)/4). Determine y, given that 0 - 8/3*y - c*y**3 - 2*y**2 = 0.
-4, -2, 0
Suppose -2*q + 13*q = 33. Suppose 0 - 21 = 2*y - 5*d, -q*y + 21 = 3*d. Determine t so that -2*t - 4*t - y*t + 4*t**2 + 9*t = 0.
-1/4, 0
Let g(o) = 10*o**2 + 13685*o - 5875583. Let j(f) = 2*f**2 + 3422*f - 1468896. Let h(w) = -4*g(w) + 18*j(w). Factor h(y).
-4*(y - 857)**2
Let l(w) = 14*w**4 - 3*w**3 + 37*w**2 + 39*w - 5. Let k(n) = 17*n**4 - 2*n**3 + 37*n**2 + 38*n - 6. Let u(s) = 5*k(s) - 6*l(s). Solve u(d) = 0 for d.
-11, -1, 0, 4
Find k such that 0*k + 0 + 28/3*k**3 + 0*k**2 - 1/3*k**5 - 9*k**4 = 0.
-28, 0, 1
Let i = 274027 + -274027. Solve i + 0*y + 45/2*y**2 - 5/2*y**3 = 0 for y.
0, 9
Solve 8736*g - 94*g**2 + 558418 - 671314 - 75*g**2 = 0.
336/13
Suppose -h - 16 + 21 = 0. Factor -h + 3*v**2 + v**4 - 9 - v - 3*v**3 + 14.
v*(v - 1)**3
Let q(y) be the third derivative of -y**6/600 + y**5/25 - 3*y**4/40 - 27*y**3/5 + 5*y**2 + 2*y - 95. Factor q(f).
-(f - 9)*(f - 6)*(f + 3)/5
Let u(l) be the first derivative of -l**6/540 + l**5/30 + 9*l**3 - l**2 - 17. Let i(v) be the third derivative of u(v). Find x such that i(x) = 0.
0, 6
Let i(b) be the third derivative of b**8/840 - 2*b**7/7 + 1719*b**6/100 + 234*b**5 + 4563*b**4/5 - 8473*b**2. What is x in i(x) = 0?
-3, 0, 78
Let b(s) be the second derivative of s**6/540 - 2*s**5/135 + s**4/27 - 55*s**2/2 - 2*s - 3. Let j(t) be the first derivative of b(t). Factor j(n).
2*n*(n - 2)**2/9
Let d(k) be the first derivative of 2*k**5/25 - 3*k**4/10 - 14*k**3 + 155*k**2 - 600*k + 5272. Factor d(w).
2