e the first derivative of l(k). Find n such that c(n) = 0.
-6, 3
Let q be (109716/(-9812))/(6/(-107)) - 1/(-11). Factor q*f + 1/2*f**3 - 361/2 - 39/2*f**2.
(f - 19)**2*(f - 1)/2
Let i = -29/134 + 183/536. Let t(d) be the second derivative of 3/8*d**3 - i*d**4 + 22*d - 1/2*d**2 + 1/80*d**5 + 0. Factor t(k).
(k - 4)*(k - 1)**2/4
Let q(l) be the third derivative of 0 - 13/70*l**7 - 11/20*l**6 - 1/112*l**8 + 11/2*l**3 - 7*l + 23/8*l**4 + 2*l**2 + 1/10*l**5. Factor q(t).
-3*(t - 1)*(t + 1)**3*(t + 11)
Let y(v) be the second derivative of 3/100*v**5 + 0 + 0*v**3 + 0*v**4 + 1/50*v**6 + 162*v + 0*v**2. Let y(g) = 0. What is g?
-1, 0
Factor 20*t**3 + 79*t**2 - 19*t**2 + 320 + 11*t**4 - 79*t - 157*t - 84*t - 16*t**4.
-5*(t - 4)*(t - 2)**2*(t + 4)
Let p(f) be the third derivative of -3*f**6/40 - 14*f**5/15 - f**4/2 + 2897*f**2. Find v, given that p(v) = 0.
-6, -2/9, 0
Let d(c) be the second derivative of -c**6/60 + c**5/8 + 11*c**4/12 + 4*c**3/3 + 12*c + 22. Find b, given that d(b) = 0.
-2, -1, 0, 8
Let b be (-650)/(-7) - (-3)/21. Let n = b - 91. Solve -6*p**n - p**3 - 3 - 5*p - 4*p**2 + 13 + 6*p**3 = 0 for p.
-1, 1, 2
Let h(s) = -s**3 - 15*s**2 - 24*s + 26. Let p be h(-13). Suppose 4*y - 4*l = 22 + 54, p = y - 3*l - 23. Factor y*w + 8 - w**3 + 4*w**3 + 3*w + 16*w**2 + w**3.
4*(w + 1)**2*(w + 2)
Let b be (0/(-2))/(-1) + (23 - (-252)/(-12)). Let r(k) be the second derivative of 0 + 1/20*k**4 + 0*k**b + 1/5*k**3 + 10*k. Find d, given that r(d) = 0.
-2, 0
Let i(w) be the second derivative of -146/63*w**3 - 135*w + 0 + 1/42*w**4 + 32/7*w**2. Let i(n) = 0. Calculate n.
2/3, 48
Let g be 4/(2 - -2) - 3. Let y be g - -16*(12/(-8) + 2). Find b, given that y + 3*b**2 + 5*b - 17*b + 4 - 1 = 0.
1, 3
Let p(v) be the second derivative of v**5/30 + 5*v**4/6 - 16*v**3/9 + 24*v - 1. Suppose p(k) = 0. What is k?
-16, 0, 1
Let r be (5/30 - 0)*1038 + -3. Solve -35*k - r*k + 4*k**2 - 308 - 99*k = 0 for k.
-1, 77
Factor -518*g + 13*g**2 + 3671*g - 16*g**2.
-3*g*(g - 1051)
Let l(s) be the first derivative of -3/11*s**6 - 90 - 127/22*s**4 + 24/11*s + 114/55*s**5 - 64/11*s**2 + 262/33*s**3. Determine x, given that l(x) = 0.
2/3, 1, 3
Solve -3/4*l**3 - 1389/4*l**2 - 1383/2*l + 0 = 0.
-461, -2, 0
Let y be 910/77 + 4/66*3. Let f be (-14 + y)*(2 + -3). Let 4*h**f - 4/3*h**4 + 8/3*h**3 - 16/3*h - 16/3 = 0. Calculate h.
-1, 2
Let c(r) be the first derivative of 4*r**3/3 + 2216*r**2 + 4428*r + 7011. Factor c(q).
4*(q + 1)*(q + 1107)
Let z(j) = -16*j**2 - 11*j + 6. Let d(l) = -l**2 - l + 1. Let w = 19 + 30. Let s = w + -43. Let y(n) = s*d(n) - z(n). Let y(t) = 0. What is t?
-1/2, 0
Let j(c) be the third derivative of c**6/40 - 27*c**5/5 - 111*c**4/8 + 109*c**3 - 2148*c**2. Factor j(u).
3*(u - 109)*(u - 1)*(u + 2)
Solve 2625*z**2 + 2740 - 1333*z**2 - 1290*z**2 - 1374*z = 0.
2, 685
Let -174243 - 3/4*k**2 + 723*k = 0. What is k?
482
Let 8*p**2 - 25*p**3 - 45*p**2 - 32*p + 24*p**3 - 38*p = 0. What is p?
-35, -2, 0
Let c(m) = -2*m**2 - 143*m - 343. Let k be c(-69). Let z(l) be the second derivative of -3/50*l**5 + 0 - l**k - 22*l - 23/60*l**4 + 11/10*l**3. Factor z(u).
-(u + 5)*(2*u - 1)*(3*u - 2)/5
Let l(i) be the second derivative of -3/10*i**5 + 3/8*i**4 + 1/40*i**6 + 75/8*i**2 + 5*i**3 - 15 - 2*i. Find x, given that l(x) = 0.
-1, 5
Let u(h) be the first derivative of -h**4/24 - 8*h**3/3 - 64*h**2 - 92*h - 25. Let x(f) be the first derivative of u(f). Find t, given that x(t) = 0.
-16
Let v = -4432/13715 - -1422/2743. Let n = v - -1/211. Factor 6/5*d**2 - n*d - 1.
(d - 1)*(6*d + 5)/5
Let v(d) be the first derivative of d**5/5 + 7*d**4 - 31*d**3 + 2*d**2 + 124*d + 1319. Factor v(m).
(m - 2)**2*(m + 1)*(m + 31)
Let g(b) be the second derivative of b**7/70 + b**6/40 - 3*b**5/20 - b**4/8 + b**3 + 13*b**2/2 - 27*b. Let r(v) be the first derivative of g(v). Factor r(l).
3*(l - 1)**2*(l + 1)*(l + 2)
Let s(i) be the first derivative of 98 + 0*i + i**2 - 1/12*i**3. Factor s(u).
-u*(u - 8)/4
Suppose -i + 3*i = 3*y + 1, -6 = -2*y. Let d(f) = f**2 - 5*f - 82. Let s be d(-7). Factor -3*k**s + 15*k**3 - 35*k + 15*k - i*k**4 + 3*k**2.
-5*k*(k - 2)**2*(k + 1)
Let r(z) = -z**3 - 7*z**2 + 9*z - 7. Let y be r(-8). Let i be (-148)/y + 12/90. Factor -157*v**2 + 86*v**2 - i*v + 86*v**2 - 5.
5*(v - 1)*(3*v + 1)
Factor 3*p**3 + 2069049*p + 2084*p**2 + 1937*p**2 + 2766552*p + 2576*p**2 + 1181498511.
3*(p + 733)**3
Let r = -1208 + 1210. Let x(m) be the third derivative of 1/15*m**5 + 6*m**3 + 13*m**r + 0 + m**4 + 0*m. Factor x(w).
4*(w + 3)**2
Suppose 0 = s - 6*l + 3*l + 10, -15 = -3*l. Factor -60*r - s*r**3 + 55 - 4 + 30*r**2 - 11.
-5*(r - 2)**3
Let w(g) be the second derivative of -g**6/120 - g**5/20 + 3*g**4/8 - g**3/3 - 16*g**2 - 118*g. Let f(v) be the second derivative of w(v). Factor f(m).
-3*(m - 1)*(m + 3)
Let u(z) = -71*z**3 - 36*z**2 - 15*z - 5. Let a(p) = 178*p**3 + 90*p**2 + 36*p + 12. Let k(m) = -5*a(m) - 12*u(m). Let k(f) = 0. What is f?
-9/19, 0
Suppose 156 = 7*l - l. Suppose l = 2*w - 4. Factor -12*s**4 - 6*s - 6*s**4 + w*s**4 + 3 + 6*s**3.
-3*(s - 1)**3*(s + 1)
Let c(m) = 11*m**2 - 17*m + 268. Let f(k) = 8*k**2 - 10*k + 270. Let x(v) = 3*c(v) - 4*f(v). Determine a so that x(a) = 0.
-12, 23
Let a be (1/(-8) + 219/2920)/(2/(-10)). What is k in -7/4 + 3/2*k + a*k**2 = 0?
-7, 1
Let j(b) = -6*b**2 + 33*b + 99. Suppose 3*w + 14 = 29*y - 24*y, w - 14 = -3*y. Let k(z) = 7*z**2 - 30*z - 100. Let u(q) = y*j(q) + 3*k(q). Factor u(x).
-3*(x - 16)*(x + 2)
Suppose 6*h - 20 - 76 = 0. Suppose -33 = -3*q - r, -q + h = r + 3. Factor 5*x**2 + 10*x**3 + 7*x**2 - 6 - q*x + 4*x**4 - 3*x**2 - 7*x**2.
2*(x - 1)*(x + 1)**2*(2*x + 3)
Suppose 0 = -59*j + 64*j - 15. Factor 8180 + 3*g**3 + 320*g - 58*g**2 - g**j - 6644.
2*(g - 16)**2*(g + 3)
Suppose -276 = -5*x + 4*m - 1101, 0 = -5*x - 2*m - 795. Let j = x + 243. Factor 0*a**2 + j + 5*a**2 - 1 - 31 + 35*a.
5*(a + 2)*(a + 5)
Let q(j) be the first derivative of -5*j**9/756 - 79*j**8/336 - 95*j**7/42 + 25*j**6/18 + 6*j**3 + 45. Let g(a) be the third derivative of q(a). Factor g(w).
-5*w**2*(w + 10)**2*(4*w - 1)
Factor -1/8*h**2 + 99/2 + 395/8*h.
-(h - 396)*(h + 1)/8
Let q(r) = -4*r**3 - 6. Let l(d) be the first derivative of -d**4 - d**3/3 - d**2 - 8*d - 29. Let u(p) = -2*l(p) + 3*q(p). Let u(a) = 0. What is a?
-1, 1/2, 1
Let h be 8/32 + 5140/(-16). Let o = h - -324. Factor 1/7*g**o - 1/7*g - 1/7*g**4 + 1/7*g**2 + 0.
-g*(g - 1)**2*(g + 1)/7
Suppose 2*k = 3*m - 10, 5*m + 2*k - 1 = 5. Let w = 44767/7 - 6395. Let -w*v**m + 6/7*v - 4/7 = 0. Calculate v.
1, 2
Suppose -r - 4*n + 14 = 30, 4*r + 19 = -n. Let w be (r/54)/((-82)/738). Factor 4/3 - 2*c + w*c**2.
2*(c - 2)*(c - 1)/3
Let o = -17672 + 17675. Suppose -20/9*x - 10/9*x**o - 46/9*x**2 + 16/9 = 0. What is x?
-4, -1, 2/5
Suppose g - 873 = 1101. Let r = g + -5917/3. Factor -13/9*s - 7/9*s**3 - 4/9 - 1/9*s**4 - r*s**2.
-(s + 1)**3*(s + 4)/9
Let h(s) be the third derivative of 2*s**7/105 + 85*s**6/6 + 563*s**5/5 + 2107*s**4/6 + 1684*s**3/3 + 61*s**2. Suppose h(w) = 0. What is w?
-421, -2, -1
What is f in -4/3*f + 2/9*f**2 + 0 = 0?
0, 6
Let f(t) = 28*t**3 + 32*t**2 - 22*t - 52. Let s(l) = 15*l**3 + 2*l**2. Let g(r) = f(r) - 2*s(r). Factor g(q).
-2*(q - 13)*(q - 2)*(q + 1)
Let h(n) be the third derivative of 7/3*n**3 - 21*n**2 + 0*n - 1/1080*n**6 + 1/36*n**5 + 0 - 25/72*n**4. Let b(f) be the first derivative of h(f). Factor b(s).
-(s - 5)**2/3
Factor 79520/3*v - 156800/3 + 1/3*v**3 - 562/3*v**2.
(v - 280)**2*(v - 2)/3
Let d(m) be the second derivative of -1/60*m**6 - 61/24*m**4 + 49/2*m**2 + 7/4*m**3 + 154*m + 3/8*m**5 + 0. Factor d(j).
-(j - 7)**2*(j - 2)*(j + 1)/2
Let h(q) be the third derivative of -1/42*q**7 + 0 + 2*q - 135/2*q**3 + 75/2*q**4 - 7*q**2 + 5/6*q**6 - 59/6*q**5. Factor h(v).
-5*(v - 9)**2*(v - 1)**2
Let i(p) be the second derivative of 2*p**7/7 + 91*p**6/10 + 51*p**5/4 - 4887*p**4/4 + 12015*p**3/2 - 4050*p**2 - 6031*p. Solve i(s) = 0 for s.
-15, 1/4, 3, 4
Let t = 5/224 + 985/672. Let h = t + -26/21. Factor 1/2*l - h*l**2 + 3/4.
-(l - 3)*(l + 1)/4
Let x(h) be the third derivative of h**5/20 + h**4/8 - h**3 + 8*h**2 + 8. Let w be x(-2). Factor -1/3*p**4 + 1/3*p**2 + 1/3*p**3 - 1/3*p**5 + w + 0*p.
-p**2*(p - 1)*(p + 1)**2/3
Let m(y) be the third derivative of 1/105*y**7 - 1/15*y**4 - 7/300*y**6 + 0 + 1/420*y**8 - 11/75