e third derivative of i(d). Factor s(a).
3*a*(a + 5)/5
Let c(x) be the second derivative of -x**4/24 - 9*x**3/20 + 90*x + 2. Let c(o) = 0. What is o?
-27/5, 0
Let u = 1/117 + 223/1287. Let l = 2218/6039 - 2/549. Solve 0*c**2 - 6/11*c + l + u*c**3 = 0.
-2, 1
Let a(j) = -7*j**2 - 40*j + 43. Let v(u) = -u**2 - u + 1. Let h = -107 + 111. Let z(s) = h*v(s) - a(s). Find c, given that z(c) = 0.
-13, 1
Let a(t) be the third derivative of 0*t**3 - 15*t**2 - 1/540*t**6 + 0*t**4 + 1/270*t**5 + 0*t + 0. Determine k so that a(k) = 0.
0, 1
Let y(i) be the first derivative of i**4/28 - i**3 + 10*i**2/7 + 305. Factor y(d).
d*(d - 20)*(d - 1)/7
Let o(q) be the second derivative of -1/2*q**2 + q - 1/3*q**3 - 1/12*q**4 + 0. Determine c so that o(c) = 0.
-1
Suppose 6*g = 25*g - 76. Let z(k) be the second derivative of 0 + 0*k**2 - 1/54*k**g + 6*k + 2/27*k**3. Factor z(t).
-2*t*(t - 2)/9
Let h be (-9)/(-4) - 5/20*1. Let l(t) = -3*t**2 - 20*t - 13. Let w(v) = 80*v**2 + 540*v + 350. Let d(n) = h*w(n) + 55*l(n). Determine b, given that d(b) = 0.
-3, -1
Let t(s) = -s**3 + 19*s**2 + 29*s + 9. Let d = 104 + -110. Let h(w) = -w**3 - w**2 - w - 1. Let k(f) = d*h(f) + t(f). Find b, given that k(b) = 0.
-3, -1
Let n(c) = -c**4 + c**3. Let b(d) be the first derivative of d**5/5 - 7*d**4/4 + 10*d**3/3 - 2*d**2 - 10. Let p(k) = -2*b(k) + 2*n(k). What is q in p(q) = 0?
0, 1, 2
Factor 300*n - 13*n**3 - 2*n**4 + 17 - 142 - 3*n**4 - 230*n**2 + 73*n**3.
-5*(n - 5)**2*(n - 1)**2
Let o(m) be the second derivative of m**8/6720 - m**7/315 + 13*m**6/720 - m**5/20 - 3*m**4/4 - 7*m - 2. Let g(h) be the third derivative of o(h). Factor g(u).
(u - 6)*(u - 1)**2
Let y(t) be the second derivative of -t**6/15 + t**5/2 + t**4/2 - 17*t**3/3 + 10*t**2 - 93*t. Determine d, given that y(d) = 0.
-2, 1, 5
Let q be 1*-1 - 22/(-2). Let l be q/20 - (-21)/2. Factor 4*r**2 + r**4 + 6*r**2 - l*r**2.
r**2*(r - 1)*(r + 1)
Let i(s) = 3*s**2 - 37*s + 68. Let k(y) be the first derivative of y**3/3 - 6*y**2 + 23*y + 10. Let x(q) = 2*i(q) - 7*k(q). Factor x(v).
-(v - 5)**2
Let n(z) be the second derivative of -z**6/10 + 39*z**5/20 + 45*z**4/4 + 47*z**3/2 + 24*z**2 + 3*z. Solve n(h) = 0.
-1, 16
Let j be (101/(-303))/(1/(-9)). Let f = -529/9 + 59. Determine s so that f*s**j + 0 + 2/9*s**2 - 4/9*s = 0.
-2, 0, 1
Let r be 2/(-21)*(-4 - (-26)/8). Let k(a) be the second derivative of 3/70*a**6 - 3/14*a**2 - r*a**4 + 0 + 2/7*a**3 - 3/35*a**5 - 10*a. Solve k(z) = 0.
-1, 1/3, 1
Let k = -6559 + 6563. Let -2*y - 1/5*y**k - 3/5 - 12/5*y**2 - 6/5*y**3 = 0. What is y?
-3, -1
Factor 24*a - 96*a - 2*a**2 - 2*a**3 + a**3 - 23*a**2 - 48*a**2.
-a*(a + 1)*(a + 72)
Let j be -21*(0 + 4)/(-12). Let f(g) be the second derivative of 1/22*g**5 + 1/11*g**3 + 0 + 1/11*g**2 - j*g - 3/22*g**4. Find h such that f(h) = 0.
-1/5, 1
Factor -2 + 165*l + 27 + 61*l**3 - 66*l**3 + 290 + 5*l**2.
-5*(l - 7)*(l + 3)**2
Suppose 45*d = -24*d - 13*d. Find v such that -2/5 + 3/5*v + d*v**2 - 1/5*v**3 = 0.
-2, 1
Let u be (-326)/(-6520) - (1/20 - 0). Determine t so that -3*t**4 - 3/4*t**5 + u + 3*t**2 - 9/4*t**3 + 3*t = 0.
-2, -1, 0, 1
Factor -1/6*b**2 + 1/6*b + 2.
-(b - 4)*(b + 3)/6
Let f = 5/78 - 2/65. Let o(p) be the third derivative of 2/105*p**7 + 4/3*p**3 - 1/5*p**5 + 0 + 1/6*p**4 + 10*p**2 + 0*p - f*p**6. Solve o(s) = 0.
-1, 1, 2
Factor -50/11*p**2 + 2/11*p**3 - 288/11 + 336/11*p.
2*(p - 12)**2*(p - 1)/11
Let c(w) = -2*w + 27. Let g be c(11). Let o be ((-225)/125)/((-1)/g). Factor 2*d**3 - 9*d**2 - o*d**2 + 12*d**2 + 4*d.
2*d*(d - 2)*(d - 1)
Let b be 3/4*56/6. Let y(l) be the third derivative of 0*l**5 + 0*l + 0*l**4 + 1/30*l**6 - b*l**2 + 0*l**3 - 2/105*l**7 + 0. Factor y(j).
-4*j**3*(j - 1)
Let k = 4839/5 + -966. Let b(h) be the first derivative of -4 + 3/5*h**3 - k*h - 12/5*h**2. Determine o so that b(o) = 0.
-1/3, 3
Let r be 4/4 - 423/3. Let u = r + 143. Solve 2/5*p**4 - 12/5*p**2 - 6/5 + 0*p**u + 16/5*p = 0 for p.
-3, 1
Let c be ((-2)/3)/(35/(-90)). Let u = 3082/7 + -438. Let u*i**2 - 32/7*i**3 + 40/7*i + c = 0. What is i?
-1/2, 3/2
Let w(l) be the first derivative of -l**6/18 - 13*l**5/5 - 503*l**4/12 - 2041*l**3/9 + 338*l**2 + 8788*l/3 - 414. Factor w(c).
-(c - 2)*(c + 2)*(c + 13)**3/3
Determine x so that -43*x - 24 + 21*x - 56*x + 69*x**2 + 2*x**3 - 14*x**3 = 0.
-1/4, 2, 4
Let p(i) = -7*i**5 + 36*i**4 - 110*i**3 + 2*i**2 + 2*i. Let u(a) = 30*a**5 - 144*a**4 + 441*a**3 - 9*a**2 - 9*a. Let q(s) = 9*p(s) + 2*u(s). Factor q(d).
-3*d**3*(d - 6)**2
Let x(r) = -r**2 + r - 1. Let j(i) = 4*i**2 - 6*i + 14. Let p(q) = j(q) + 6*x(q). Factor p(t).
-2*(t - 2)*(t + 2)
Suppose -31*r = -114*r + 249. Let h(w) be the third derivative of -1/6*w**r + 0*w + 0 - 1/30*w**5 + 1/8*w**4 + 6*w**2. Factor h(q).
-(q - 1)*(2*q - 1)
Let s(f) be the second derivative of -f**7/2940 + 11*f**6/1260 - f**5/12 + 25*f**4/84 + 5*f**3/3 + 18*f. Let j(x) be the second derivative of s(x). Factor j(a).
-2*(a - 5)**2*(a - 1)/7
Let k(p) be the first derivative of -2/5*p**4 - 2/5*p - 4/5*p**3 - 5 - 4/5*p**2 - 2/25*p**5. Factor k(s).
-2*(s + 1)**4/5
Let p(t) = -45*t**2 + 53*t - 3. Let c(u) = 22*u**2 - 26*u + 2. Let b = -6 + 1. Let g be 1 + 0 + 2 + b. Let z(m) = g*p(m) - 5*c(m). Factor z(i).
-4*(i - 1)*(5*i - 1)
Suppose 9 = -4*r + 3*x, 0 = 2*r - 3*x - x + 12. Let o(z) = z**3 - z**2 - z + 3. Let q be o(r). Let -3*v**4 - 2*v + 3*v**2 + q*v**3 - 5*v + 4*v = 0. What is v?
-1, 0, 1
Factor -4*f**2 - 2*f + 2*f**4 + 38*f**5 + 2 + 4*f**3 - 40*f**5 + 0*f**2.
-2*(f - 1)**3*(f + 1)**2
Let q(s) = -30*s**3 + 60*s**2 - 50*s + 6. Let p(k) = -156*k**3 + 301*k**2 - 251*k + 29. Let j(a) = -4*p(a) + 22*q(a). Determine r, given that j(r) = 0.
2/9, 1, 2
Let w be -2*7/((-7)/2). Let j be w/(-18) + (-116)/(-36). Factor 2*r**2 + 2*r**4 + 7*r**3 - r**j - 2*r**3.
2*r**2*(r + 1)**2
Let o(x) be the third derivative of -35*x**8/48 + 11*x**7/6 + 11*x**6/4 - 13*x**5/3 + 5*x**4/3 + 2*x**2 - 10. Suppose o(b) = 0. Calculate b.
-1, 0, 2/7, 2
Let s(o) = -7*o**4 - 38*o**3 - 115*o**2 - 138*o - 62. Let f(p) = -15*p**4 - 75*p**3 - 230*p**2 - 275*p - 125. Let b(k) = 2*f(k) - 5*s(k). Factor b(m).
5*(m + 1)*(m + 2)**2*(m + 3)
Let f = 3/643 - -2497/16075. What is c in 2/25*c**5 + 4/25*c**4 + 0*c**3 - f*c**2 - 2/25*c + 0 = 0?
-1, 0, 1
Let p = 4074 + -52956/13. Factor 2/13*c**4 + p*c**2 + 0*c - 8/13*c**3 + 0.
2*c**2*(c - 3)*(c - 1)/13
Find y such that 6 - 9*y - 3/2*y**2 + 3/4*y**5 + 33/4*y**3 - 9/2*y**4 = 0.
-1, 1, 2
Suppose -15*g + 3 = -24 - 3. Suppose 0 - 1/8*b**g - 1/8*b = 0. Calculate b.
-1, 0
Let c be 320/75 - 2 - (0 + 4/(-30)). What is a in -12/5*a**3 + 8/5*a**4 - 4/5 + c*a - 4/5*a**2 = 0?
-1, 1/2, 1
Let k(h) be the first derivative of -h**4/6 - 20*h**3/3 - 19*h**2 - 56*h/3 - 135. Determine c so that k(c) = 0.
-28, -1
Factor 717*v**2 + 2*v - 2*v**3 - 340*v**2 - 22 - 355*v**2.
-2*(v - 11)*(v - 1)*(v + 1)
Let t(o) be the first derivative of -o**3/12 - o**2/8 + 3*o - 64. Factor t(c).
-(c - 3)*(c + 4)/4
Suppose -4*y + 8 = 0, 16*v - 13 = 15*v - 5*y. Factor -11/5*x + 13/5*x**2 - x**v + 3/5.
-(x - 1)**2*(5*x - 3)/5
Let r(h) be the first derivative of 5*h**3/3 + 5*h**2 + 5*h - 11. Factor r(t).
5*(t + 1)**2
Let u = 46 + -42. Factor 5*p - u*p**3 + 4*p**2 - 63 - p + 27 + 32.
-4*(p - 1)**2*(p + 1)
Let j be 4/(24/(-42)) + 7. Let a(p) be the second derivative of 4*p + 1/90*p**6 - 1/63*p**7 + 0 + j*p**3 + 1/30*p**5 + 0*p**2 - 1/36*p**4. Solve a(v) = 0 for v.
-1, 0, 1/2, 1
Let g(w) be the first derivative of -7/2*w**6 + 2*w**3 + 0*w - 9/4*w**4 - 36/5*w**5 + 0*w**2 + 10. Factor g(n).
-3*n**2*(n + 1)**2*(7*n - 2)
Let g(u) = -2*u - 10. Let l be g(-5). Factor l*q - 13/3*q**3 + 0 - 1/3*q**5 + 2*q**2 + 8/3*q**4.
-q**2*(q - 6)*(q - 1)**2/3
Let n(g) be the second derivative of -g**4/8 - 4*g**3/9 + g**2/3 - 380*g. Determine x, given that n(x) = 0.
-2, 2/9
Let i(u) = -u**3 - 7*u**2 - 2*u - 12. Let c be i(-6). Let q be ((-2)/4)/(6/c). Factor 4 - 7*d**2 - 2*d**4 - 3 + 5*d**2 + q*d**4.
(d - 1)**2*(d + 1)**2
Factor 0*q - q**2 - 699 + q**3 + 699 - 2*q.
q*(q - 2)*(q + 1)
Let f = 422/27 + -398/27. Factor -f*q + 4/9*q**3 - 8/9 + 2/3*q**2 - 2/9*q**4.
-2*(q - 2)**2*(q + 1)**2/9
Let i = -21/20 + 223/60. Determine v so that -2/3*v**2 - 8/3*v - i = 0.
-2
Factor 0 - 245/4*s**2 + 0*s - 35/2*s**3 - 5/4*s**4.
-5*s**2*(s + 7)**2/4
Let h(z) be the third derivative of -z**6/