f r**7/1260 - r**6/120 + r**5/30 + 3*r**4/4 + 16*r. Let t(d) be the third derivative of l(d). Determine j so that t(j) = 0.
1, 2
Let j(h) be the second derivative of h**6/90 + 7*h**5/30 - 5*h**4/12 - h - 22. What is x in j(x) = 0?
-15, 0, 1
Let t(x) be the third derivative of 3/2*x**7 + 13/8*x**6 - 5/8*x**4 + 5/3*x**3 + 0 - 29/12*x**5 + 0*x - 6*x**2. What is j in t(j) = 0?
-1, -2/7, 1/3
Suppose 3*z = -5*m + 13, 2*z - 6 = -2*m - 4. Let d(t) be the second derivative of 1/24*t**5 + m*t + 4/9*t**3 + 1/3*t**2 + 17/72*t**4 + 0. Solve d(h) = 0.
-2, -1, -2/5
Let p be ((-6)/(-13))/(2 + -3 - (-350)/260). Factor 4/3*h**3 + 4*h**2 - 4 - p*h.
4*(h - 1)*(h + 1)*(h + 3)/3
Let i be (-84 - -76)*(-3)/6. What is l in 0*l + 9*l**3 + 15/2*l**i + 0 + 3/2*l**2 = 0?
-1, -1/5, 0
Let h(c) be the third derivative of 2*c**5/165 + 17*c**4/132 + 4*c**3/33 + 21*c**2. Factor h(l).
2*(l + 4)*(4*l + 1)/11
Let b(o) be the first derivative of 41 + 4/5*o**3 - 1/4*o**4 - 6/5*o + 11/10*o**2. Find q such that b(q) = 0.
-1, 2/5, 3
Let c = -199/42 + 110/21. Determine z so that 1/2*z + c*z**2 + 0 = 0.
-1, 0
Suppose 0 = -3*r + 7*y - 3*y + 55, 100 = 5*r - 5*y. Find a, given that 1 - 4*a**2 - 1 + 4*a**4 + r*a - 4*a**3 - 21*a = 0.
-1, 0, 1
Let u = 23 + -19. Suppose 11 + 9*k**2 + 14 - u*k**2 + 30*k = 0. What is k?
-5, -1
Let j(h) be the first derivative of 3*h**4/4 - 5*h**3 + 9*h**2 - 74. What is p in j(p) = 0?
0, 2, 3
Factor -7*w**2 + 1281 + 39*w + 4*w**2 - 1389.
-3*(w - 9)*(w - 4)
Let n(z) be the first derivative of 16/5*z**2 + 42 - 2/15*z**3 - 128/5*z. Find l, given that n(l) = 0.
8
Let f(k) be the second derivative of 0*k**2 - 1/130*k**5 + 1/78*k**4 + 0*k**3 + 0 - 7*k. Find h such that f(h) = 0.
0, 1
Let b(s) be the second derivative of -s**6/72 + s**5/12 - 5*s**4/24 - 2*s**3 - 15*s. Let c(m) be the second derivative of b(m). Factor c(q).
-5*(q - 1)**2
Let a(c) be the third derivative of -c**6/30 + c**5/15 + c**4/6 - 2*c**3/3 + 246*c**2. Solve a(k) = 0.
-1, 1
Find u, given that -1/5*u**3 + 0 - 37/5*u**2 - 36/5*u = 0.
-36, -1, 0
Suppose -16*f = 529 - 561. Suppose -6/5*l - 3/5*l**4 + 0*l**3 + 0 + 9/5*l**f = 0. What is l?
-2, 0, 1
Let p = -19664 - -98323/5. Factor 0*v**2 + 0*v**4 + p*v**5 + 0 - 3/5*v**3 + 0*v.
3*v**3*(v - 1)*(v + 1)/5
Factor 206*i**2 + 4*i**4 + 209 + 27 - 720*i + 266*i**2 + 19*i**3 + 88 - 99*i**3.
4*(i - 9)**2*(i - 1)**2
Suppose 0 = 5*t + 3 + 157. Let v be 1 - (-5)/14 - (-16)/t. Determine n so that -2/7*n**4 + 0*n**2 - 8/7*n + v*n**3 + 0 = 0.
-1, 0, 2
Let a be 0 - 10 - 320/(-30). Factor 1/3*x**2 + a - x.
(x - 2)*(x - 1)/3
Let i(d) be the first derivative of -d**3/3 - 10*d**2 - 19*d - 106. Factor i(v).
-(v + 1)*(v + 19)
Suppose 0 = 9*h + 5*h - 42. Let n(p) be the first derivative of -h + 0*p**4 - 2/55*p**5 + 0*p**3 + 0*p**2 - 1/33*p**6 + 0*p. Factor n(j).
-2*j**4*(j + 1)/11
Let n(q) be the first derivative of -1/3*q**3 + q + 7 + 0*q**2. Find s, given that n(s) = 0.
-1, 1
Suppose 57*x = 4*x + 106. Factor -4/3*m - 1/3*m**x - 4/3.
-(m + 2)**2/3
Let z(i) = i**4 + 11*i**3 - 6*i**2 - 32*i + 35. Let v(a) = -4*a**4 - 34*a**3 + 20*a**2 + 96*a - 106. Let w(j) = -3*v(j) - 10*z(j). Factor w(q).
2*(q - 2)**3*(q + 2)
Let t(g) be the first derivative of -g**7/210 - g**6/50 - 3*g**5/100 - g**4/60 + 10*g + 2. Let o(c) be the first derivative of t(c). Factor o(a).
-a**2*(a + 1)**3/5
Let r be -6 - (-50)/40 - -5 - 0. Solve -1/2*p - r*p**3 + 0 + 3/4*p**2 = 0 for p.
0, 1, 2
Suppose -5*p = -2*p - 9. Let o be 3/((-3)/(-6)*p). Let 7*h**4 - 4*h**4 - 4*h**4 - h**o + 2*h**3 = 0. Calculate h.
0, 1
Let s(x) = 2*x**2 - 14*x + 3. Let z be s(11). Find g such that 71*g**5 - z*g**5 - 77*g**4 - 24*g**3 + 9*g**4 = 0.
-3, -2/5, 0
Let d be (-41)/4 + (61 - 50). Factor 0*n - d*n**2 + 0 - 3/4*n**4 - 3/2*n**3.
-3*n**2*(n + 1)**2/4
Let b = 228 - 224. Let i(d) be the first derivative of 1/12*d**3 + 3/20*d**5 + b + 1/24*d**6 + 3/16*d**4 + 0*d + 0*d**2. Determine h so that i(h) = 0.
-1, 0
Find n, given that -168/5*n + 144/5 + 18/5*n**3 + 2/5*n**4 + 4/5*n**2 = 0.
-6, 1, 2
Let k(m) be the third derivative of m**8/3360 - m**7/140 + 3*m**6/40 - 9*m**5/20 + m**4/2 + m**2. Let o(z) be the second derivative of k(z). Factor o(s).
2*(s - 3)**3
Factor -1/8*c**3 + 11/8*c**2 - 3 + 7/4*c.
-(c - 12)*(c - 1)*(c + 2)/8
Suppose -4*r - 110*a + 3 = -107*a, 3*r = -2*a + 2. Let -1/4*n**2 + r + 3/2*n = 0. What is n?
0, 6
Factor 14/3*k**3 + 0 + 16/3*k - 28/3*k**2 - 2/3*k**4.
-2*k*(k - 4)*(k - 2)*(k - 1)/3
Suppose 6 = 3*p - 3*q - 6, p + 8 = -2*q. Suppose 4*y + 2*w - 40 = p, -23 = -5*y + 2*y + 2*w. Factor -6*x - y*x**4 - 39/2*x**3 + 0 - 18*x**2 - 3/2*x**5.
-3*x*(x + 1)**2*(x + 2)**2/2
Suppose 0 = 4*x - l - 5, 2*x - 4*l + 11 = l. Let y be (-10)/(-12) + 2/(-3). Solve 0 - y*d**x - 1/2*d = 0.
-3, 0
Let v = 60025/9 - 6669. Solve v*w**2 + 8/9*w + 0 = 0.
-2, 0
Let q(c) be the third derivative of c**7/1050 + c**6/200 - 3*c**5/100 + c**4/24 + 39*c**2. Determine x so that q(x) = 0.
-5, 0, 1
Let u(m) be the third derivative of -m**6/60 - 11*m**5/30 + 17*m**4/6 + 104*m**3/3 + 652*m**2. Factor u(j).
-2*(j - 4)*(j + 2)*(j + 13)
Let r(f) = 4*f**2 - 2*f + 1. Let k be r(-1). Let o(z) = -8*z**2 - 52*z + 7. Let v(s) = -3*s**2 - 17*s + 2. Let a(d) = k*v(d) - 2*o(d). Factor a(i).
-5*i*(i + 3)
Let q(d) be the first derivative of 2*d**5/25 + 14*d**4 + 980*d**3 + 34300*d**2 + 600250*d - 37. Factor q(l).
2*(l + 35)**4/5
Let r(v) be the first derivative of 1/6*v**3 - v - 19 + 1/10*v**5 - 3/4*v**2 + 3/8*v**4. Factor r(s).
(s - 1)*(s + 1)**2*(s + 2)/2
Find x, given that -x**2 - 3*x**4 - 1/2*x**5 - 11/2*x**3 + 4 + 6*x = 0.
-2, -1, 1
Let p = 20 + -20. Let m = 19 + -16. Solve 1/4*u**m + p*u + 0 + 1/4*u**2 = 0 for u.
-1, 0
Let w(f) = 9*f**4 - 89*f**3 + 10*f**2 + 756*f + 688. Let z(m) = 3*m**4 - 30*m**3 + 3*m**2 + 252*m + 231. Let x(p) = -3*w(p) + 8*z(p). Factor x(d).
-3*(d - 6)**2*(d + 1)*(d + 2)
Let g(u) be the second derivative of -u**5/35 - 17*u**4/84 - 10*u**3/21 - 2*u**2/7 - 4*u + 11. Factor g(a).
-(a + 2)**2*(4*a + 1)/7
Let m(x) be the first derivative of 3/20*x**5 - 1 + 3/2*x**2 + 0*x - x**3 - 3/16*x**4. Solve m(d) = 0.
-2, 0, 1, 2
Let m(l) be the third derivative of 343/18*l**3 + 7/15*l**5 - 49/12*l**4 + 2 - 8*l**2 + 0*l - 1/45*l**6. Factor m(a).
-(2*a - 7)**3/3
Let q(l) = 12*l**4 + 197*l**3 + 436*l**2 - 165*l - 6. Let v(h) = -60*h**4 - 986*h**3 - 2180*h**2 + 826*h + 28. Let k(r) = -14*q(r) - 3*v(r). Factor k(j).
4*j*(j + 3)*(j + 14)*(3*j - 1)
Let r(x) be the second derivative of 1/1800*x**6 - 1/3*x**3 + 2/15*x**4 + 8*x + 0 + 1/75*x**5 + 0*x**2. Let l(t) be the second derivative of r(t). Factor l(j).
(j + 4)**2/5
Let u(l) be the first derivative of -l**4 - 75*l**3 - 1596*l**2 - 784*l - 53. Factor u(m).
-(m + 28)**2*(4*m + 1)
Let a(q) = 3*q**2 - q - 2. Let o(f) = f + 2. Let h be o(-3). Let i be a(h). Suppose -2*c**2 - 2*c**2 - 2*c + 2*c**2 + 2*c**4 + i*c**3 = 0. Calculate c.
-1, 0, 1
Factor 12/5*j + 0 + 28/5*j**2 - 47/5*j**3 + 7/5*j**4.
j*(j - 6)*(j - 1)*(7*j + 2)/5
Let b(v) = 11*v + 124. Let x be b(-11). Let n(a) be the first derivative of a**2 + 1/6*a**4 - x - 2/3*a**3 - 2/3*a. Solve n(u) = 0.
1
Determine w so that -201*w**3 - 201*w**3 - 23*w**2 + 612*w**3 - 3*w - 202*w**3 = 0.
-1/8, 0, 3
Let l be ((-2)/(-6)*3)/((-6)/(-30)). Suppose 1 = l*x - 9. Factor 11/3*t + 2/3 + 7/3*t**3 + 16/3*t**x.
(t + 1)**2*(7*t + 2)/3
Let r(h) be the first derivative of h**5/20 - 5*h**4/56 - h**3/7 + 11*h**2/2 - 5. Let d(t) be the second derivative of r(t). Solve d(z) = 0 for z.
-2/7, 1
Suppose -7 = w - 6. Let l = w + 3. Factor 9*h**3 + 6*h**4 - 3*h**4 - 9*h + h**2 + 2*h**l - 20 + 14.
3*(h - 1)*(h + 1)**2*(h + 2)
Determine y, given that 4/7*y**3 - 8/7*y**2 + 16/21*y + 0 - 2/21*y**4 = 0.
0, 2
Let z(y) = 2*y**3 - y**2. Let b(l) = 25*l**3 - 75*l**2 + 35*l + 20. Let a(k) = b(k) - 5*z(k). Solve a(h) = 0 for h.
-1/3, 1, 4
Suppose -2/13*k**4 + 0 - 40/13*k**2 + 0*k + 42/13*k**3 = 0. Calculate k.
0, 1, 20
Let r be (-69)/460*8/(-12). Let j(o) be the first derivative of 1/25*o**5 + 2 + 2/5*o + r*o**2 - 1/20*o**4 - 1/5*o**3. Factor j(p).
(p - 2)*(p - 1)*(p + 1)**2/5
Let b = 215/717 - -8/239. Let u(y) be the third derivative of 0*y - 2/3*y**3 - b*y**4 + 8*y**2 + 0 - 1/15*y**5. Solve u(i) = 0.
-1
Suppose -3*b - 2*b + 25 = 0. Determine c, given that -c**2 + 5*c**5 - 8*c**5 + 3*c**2 + 2*c**b + c**3 - 