or -10*m**2 + 3*m + 50*m - 9*m**2 + 14*m**2 + y.
-(m - 11)*(5*m + 2)
Let l(d) = -10*d**3 + 6*d**2 - d - 6. Let f(n) be the second derivative of -n**5/20 + 16*n - 4. Let p(o) = -22*f(o) + 2*l(o). Solve p(s) = 0 for s.
-6, -1, 1
Let s be (-20)/3*(-12)/8. Let c be -12*((-25)/s + 2). Factor -2*m**3 - 5*m + 2 + c*m**2 + 3*m + 2*m - 6*m.
-2*(m - 1)**3
Let y = -9952/3 + 3318. Factor 0*r - y*r**4 + 0 + 0*r**2 + 22/3*r**3.
-2*r**3*(r - 11)/3
Suppose -l = p - 7, -14 = 4*l - p - 17. Factor 0*z - 4*z**l - z + 52*z**3 + 7 - 3*z**2 - 24*z**3 - 27*z**3.
(z - 7)*(z - 1)*(z + 1)
Let x(j) be the first derivative of j**3/3 + 191*j**2/2 - 192*j - 2355. What is a in x(a) = 0?
-192, 1
Let r(v) = v**3 + 8*v**2 + 10*v + 25. Let k be r(-7). Suppose 0 = -4*l - k + 12. Factor 5 + 0 + 4*n + 1 - 2*n**l.
-2*(n - 3)*(n + 1)
Let s = -6537/1870 + 2205/374. Solve 16/5 - s*t + 2/5*t**2 = 0 for t.
2, 4
Let k(q) = -20*q**3 - 20*q**2 + 65*q - 115. Let j(r) = -r**3 - 3*r**2 + 3*r - 1. Let u(y) = -15*j(y) + k(y). Factor u(x).
-5*(x - 5)*(x - 2)*(x + 2)
Let m(h) be the first derivative of 7*h**5/2 + 215*h**4/4 - 90*h**3 + 50*h**2 - 82*h - 41. Let k(x) be the first derivative of m(x). Factor k(y).
5*(y + 10)*(2*y - 1)*(7*y - 2)
Suppose 45672 + 103078 = 14*k. Factor 11 + k*y - 18*y**2 + 1 - 10556*y.
-3*(y - 4)*(6*y + 1)
Let v(n) be the first derivative of -n**5 + 225*n**4/4 + 5*n**3/3 - 225*n**2/2 - 1585. Factor v(m).
-5*m*(m - 45)*(m - 1)*(m + 1)
Suppose -16 = 2*l - 2*y, l - 3*l - 19 = -3*y. Let p(i) = i**3 - 11*i**2 + 16*i. Let h(z) = z**2 + z. Let q(s) = l*p(s) + 15*h(s). Determine t so that q(t) = 0.
0, 1, 13
Suppose 0 = 70*r - 65*r - 105. Suppose -9*k + 23*k = r*k. Find n such that k*n + 1/4*n**3 + 3/4*n**2 + 0 = 0.
-3, 0
Suppose 4*a - 1261 = 1867. What is k in -22 + 76 + 54*k + a*k**3 + 18*k**2 - 780*k**3 = 0?
-3
Let w(x) = -x**3 - 7*x**2 - 7*x + 6. Let m be w(-6). Let s be (2/6)/(1/m). Factor 2*v**3 + 12*v**2 - 3*v**3 - 6*v + 60 - 42*v + s.
-(v - 4)**3
Suppose -404 + 442 = -2*y. Let c be (-2)/12*((-1197)/(-14))/y. Solve 0 + 3/4*t**4 - 3/4*t - 3/4*t**2 + c*t**3 = 0.
-1, 0, 1
Let m = -96 - -83. Let d(z) = -3*z + 8. Let r be d(m). Factor 7*i - 3*i**2 - i + r - 50.
-3*(i - 1)**2
Let r = -181534 - -726141/4. Suppose 0 - 5*j**3 + 0*j - r*j**4 - 15/4*j**2 = 0. What is j?
-3, -1, 0
Let m(s) = 6*s**3 + 6*s**2 - 8*s - 3. Let o be m(-5). Let a = o - -563. Factor 9/4*r + a + 3/4*r**3 + 15/4*r**2 - 3/4*r**4.
-3*r*(r - 3)*(r + 1)**2/4
Let w(s) be the first derivative of 5*s**4/24 - 10*s**3 + 115*s**2/4 - 85*s/3 - 8850. What is g in w(g) = 0?
1, 34
Let y(q) = -16*q**3 - 862*q**2 + 1744*q - 873. Let i(j) = -5*j**3 - 287*j**2 + 581*j - 291. Let g(o) = -7*i(o) + 2*y(o). Determine c, given that g(c) = 0.
-97, 1
Let l(j) be the second derivative of 10 - 1/2*j**5 + 0*j**4 + 0*j**3 - 1/15*j**6 + 0*j**2 + j. Let l(u) = 0. What is u?
-5, 0
Let b = 84613/32984 + 29/4712. Solve -b*i + 6/7*i**2 + 12/7 = 0 for i.
1, 2
Let j(x) be the first derivative of x**6/6 - 2*x**5 + 4*x**4 + 2504. Solve j(u) = 0.
0, 2, 8
Suppose -24*f - 16 = -4*y - 20*f, 0 = f. Let g(t) = 39*t - 153. Let l be g(y). Let 5 - 20/3*k**2 - 10/3*k**l + 10/3*k + 5/3*k**4 = 0. Calculate k.
-1, 1, 3
Let l(f) = -3*f**3 - 118*f**2 + 150*f - 38. Let o(c) = -40*c**3 - 1530*c**2 + 1950*c - 494. Let j(r) = -76*l(r) + 6*o(r). Factor j(a).
-4*(a - 1)*(a + 19)*(3*a - 1)
Let s(a) be the second derivative of -a**5/10 + 8*a**4 - 31*a**3 + 46*a**2 - 11*a + 39. Factor s(w).
-2*(w - 46)*(w - 1)**2
Let i(z) be the second derivative of -z**6/40 + 3*z**5/20 + z**4/8 - 3*z**3/2 - 51*z**2/2 - 9*z - 2. Let o(q) be the first derivative of i(q). Factor o(p).
-3*(p - 3)*(p - 1)*(p + 1)
Let h(m) = 3*m**4 + 40*m**3 + 37*m**2 - 14*m. Let i(l) = -5*l**4 - 60*l**3 - 55*l**2 + 20*l. Let y(x) = 10*h(x) + 7*i(x). Find j such that y(j) = 0.
-3, -1, 0
Let i(a) be the second derivative of -a**10/136080 + a**9/13608 - a**8/7560 + 17*a**4/3 + 105*a. Let t(y) be the third derivative of i(y). Factor t(h).
-2*h**3*(h - 4)*(h - 1)/9
Let p(i) = 6*i**2 - 401*i - 2073. Let a(n) = -n**2 + 11*n - 2. Let d(j) = a(j) + p(j). Factor d(y).
5*(y - 83)*(y + 5)
Solve 51/4*y**2 + 0 - y + 13/4*y**3 = 0.
-4, 0, 1/13
Let h(u) be the third derivative of -53*u**2 + 0 + 0*u - 1/48*u**6 - 5/8*u**4 - 2/3*u**3 - 9/40*u**5. Determine q so that h(q) = 0.
-4, -1, -2/5
Let u(i) be the second derivative of i**5/100 - i**4/20 - 2*i**3/15 - 219*i + 4. Factor u(d).
d*(d - 4)*(d + 1)/5
Let m(c) be the second derivative of -c**6/15 + 29*c**5/10 - 287*c**4/6 + 1111*c**3/3 - 1452*c**2 - 20*c - 22. Determine p so that m(p) = 0.
3, 4, 11
Let c(a) be the first derivative of a**8/840 + a**7/70 + a**6/20 - 64*a**3/3 + 122. Let s(n) be the third derivative of c(n). Factor s(k).
2*k**2*(k + 3)**2
Let n(q) be the third derivative of 1/24*q**4 - 65*q**2 + 1/140*q**7 + 0*q**3 - 1/120*q**5 - 1/60*q**6 + 0*q + 0. Factor n(g).
g*(g - 1)**2*(3*g + 2)/2
Determine w so that 8/5*w**2 + 13/5*w**3 + 1/5*w**4 - 48/5 - 52/5*w = 0.
-12, -2, -1, 2
Let y be (-4 + 69/15)/(42*(-6)/(-560)). Find l such that 2/3*l**4 - y*l + 0 + 10/3*l**2 - 8/3*l**3 = 0.
0, 1, 2
Let x(b) be the second derivative of b**5/100 - b**4/40 - b**2 + 57*b. Let f(y) be the first derivative of x(y). Find j such that f(j) = 0.
0, 1
Let f(n) = 9*n - 52. Let q be 31/5 + ((-72)/(-30))/(-12). Let o be f(q). Solve -8/5 - 2/5*a**o + 8/5*a = 0.
2
Let i(z) be the second derivative of -70 - 12*z**2 + 2*z - 1/4*z**4 + 3*z**3. Factor i(v).
-3*(v - 4)*(v - 2)
Let x = -241 + 243. Let -97*c + 3*c**x + 136*c + 108 + 72*c = 0. What is c?
-36, -1
Determine m so that -18 + 889/3*m - 268*m**2 - 31/3*m**3 = 0.
-27, 2/31, 1
Find j such that 232/13*j - 1392/13*j**2 + 982/13*j**3 + 384/13 + 10/13*j**5 - 216/13*j**4 = 0.
-2/5, 1, 2, 3, 16
Let x = 4024 + -4020. Let y be (60/34 + -2 - 0)/(-2). Suppose -4/17*d**2 + 0*d**3 + 0*d + y*d**x + 2/17 = 0. Calculate d.
-1, 1
Let c(x) be the third derivative of 75/56*x**4 + 24/35*x**6 - 65*x**2 + 0*x + 0 - 9/14*x**3 - 52/35*x**5. What is j in c(j) = 0?
1/3, 3/8
Determine q, given that -249*q + 16*q**2 + 695*q - 2*q**3 - 228*q - 242*q = 0.
0, 2, 6
Let s(q) be the third derivative of q**10/37800 + q**9/18900 - q**8/4200 + q**4/24 + q**3 - q**2 + 8*q. Let i(n) be the second derivative of s(n). Factor i(r).
4*r**3*(r - 1)*(r + 2)/5
Let l(p) = -30*p**3 - 8*p**2 + 2 + 25*p**3 + 8*p**2 + 3*p. Let m be l(-1). Factor -m*o**3 + 4*o**2 + 0*o**3 - 6*o - 2*o - 16*o**2.
-4*o*(o + 1)*(o + 2)
Let v = 557441 - 557437. Determine o so that 3/2*o**2 + 0 + 9*o - 1/2*o**v - 2*o**3 = 0.
-3, 0, 2
Let c(m) be the first derivative of 2/3*m**3 - 10*m + 14 - 1/6*m**4 + 0*m**2 + 1/80*m**5. Let o(z) be the first derivative of c(z). Factor o(j).
j*(j - 4)**2/4
Suppose -97 - 469 = -174*z - 44. Let i(n) be the second derivative of 2/3*n**z - 7*n - 1/20*n**5 + 0 + 1/12*n**4 - 2*n**2. Solve i(l) = 0 for l.
-2, 1, 2
Let p(s) = -71*s**2 - 101*s - 90. Let y(q) = 7*q**2 + q. Let a(i) = -p(i) - 10*y(i). Factor a(b).
(b + 1)*(b + 90)
Find y, given that -2*y**2 + 1484*y + 166 + y**2 - 1316*y + 3*y**2 = 0.
-83, -1
Let g(p) = -3*p**2 + 58*p + 45. Let b be g(20). Let r be (-2)/2 - ((-560)/90 + b). Factor -2/9*l**3 + 0*l + 0 - r*l**2.
-2*l**2*(l + 1)/9
Find r such that 16*r**3 + 4*r**3 + 2*r**3 - 26*r**3 + 736 + 363*r + 200*r**2 - 1115*r = 0.
2, 46
Let z(q) be the second derivative of q**6/90 - q**5/30 - q**4/12 + 4*q**3/9 - 2*q**2/3 - 1945*q. Factor z(c).
(c - 2)*(c - 1)**2*(c + 2)/3
Let h = -73 + 99. Let m = h + -103/4. Factor 0*r + m*r**5 - 1/4*r**2 - 1/4*r**3 + 1/4*r**4 + 0.
r**2*(r - 1)*(r + 1)**2/4
Let g be -4*3/(-36)*(-240)/(-16). Let n(s) be the third derivative of 0*s**3 - 1/35*s**g + s**2 + 0 + 0*s + 1/140*s**6 + 1/28*s**4. Factor n(u).
6*u*(u - 1)**2/7
Let k(o) be the first derivative of -o**5/45 + o**4/2 - 28*o**3/9 - 39*o**2 + 29. Let z(n) be the second derivative of k(n). What is q in z(q) = 0?
2, 7
Suppose 4*w - 3*w + 24 = 5*f, 8 = -3*f - 5*w. Factor -2*n**5 + 8*n**3 - 10*n**3 + 0*n**5 - 4*n**f.
-2*n**3*(n + 1)**2
Let i(c) be the third derivative of c**6/360 + c**5/20 - 5*c**4/3 - 148*c**3/3 + c**2 + 11*c. Let y(n) be the first derivative of i(n). What is h in y(h) = 0?
-10, 4
Let t(m) be the third derivative of m**8/168 - m**7/105 - 7*m**6/20 + 41*m**5/30 - 5*m**4/3 - 1089*m**2. Fa