 = 0 for v.
1, 3
Let q(m) be the first derivative of 57*m**4/16 - 59*m**3/12 - 85*m**2/2 + 3*m + 82. Determine z so that q(z) = 0.
-2, 2/57, 3
Determine j so that 3/7*j**2 - 51/7*j + 180/7 = 0.
5, 12
Let h(v) be the second derivative of v**4/4 - 27*v**3 + 1419*v**2/2 + 86*v + 1. Factor h(g).
3*(g - 43)*(g - 11)
Let n = 7/4 + -19/12. Suppose -4*b - 72 = -1491*a + 1486*a, b = -18. Solve a*y + 0 + 0*y**3 + 1/6*y**2 - n*y**4 = 0 for y.
-1, 0, 1
Let h(p) be the first derivative of -p**3 + 4*p**2/5 + 23*p/5 + 4159. Factor h(n).
-(n + 1)*(15*n - 23)/5
Let l(t) be the first derivative of -24*t + 1/2*t**4 + 2*t**3 - 154 - 4*t**2. Let l(q) = 0. Calculate q.
-3, -2, 2
Let b(x) be the first derivative of -x**4 - 32*x**3/3 + 62*x**2 - 88*x + 2366. Factor b(d).
-4*(d - 2)*(d - 1)*(d + 11)
Let i(w) be the second derivative of 3*w**6/40 + 7*w**5/5 - 53*w**4/8 + 11*w**3 - 39*w**2 + w + 54. Let x(g) be the first derivative of i(g). Factor x(f).
3*(f - 1)*(f + 11)*(3*f - 2)
Let m = -71217 - -640961/9. Suppose 0 - 4/3*d**2 + 4/9*d**4 + 0*d**3 + m*d = 0. What is d?
-2, 0, 1
Let q(h) be the second derivative of -h**7/2520 - h**6/60 + 13*h**5/120 - 19*h**4/3 - 44*h. Let r(z) be the third derivative of q(z). Find c such that r(c) = 0.
-13, 1
Let o(m) be the first derivative of -m**6/3 + 4*m**5 - 8*m**4 - 4*m**3/3 + 17*m**2 - 16*m + 2504. Factor o(p).
-2*(p - 8)*(p - 1)**3*(p + 1)
Let y(m) be the second derivative of -5/12*m**3 - 5/12*m**4 - 88*m + 0 + 0*m**2 - 1/8*m**5. Factor y(x).
-5*x*(x + 1)**2/2
Let f(g) be the second derivative of g**5/4 - 55*g**4/12 + 155*g**3/6 - 105*g**2/2 - 379*g + 2. Factor f(b).
5*(b - 7)*(b - 3)*(b - 1)
Let v(m) be the first derivative of 2 + 5/12*m**3 - 1/2*m**2 - 1/24*m**6 + 5/16*m**4 - m - 1/20*m**5. What is a in v(a) = 0?
-2, -1, 1, 2
Let m(r) be the first derivative of r**4/18 - 2*r**3/3 - 9*r**2 - 35*r - 133. Let j(l) be the first derivative of m(l). Factor j(n).
2*(n - 9)*(n + 3)/3
Let m be -3 - ((-15)/3 - -5) - 37. Let l be (3 - 0) + m/15. Factor -1/3*o**2 - l*o + 0.
-o*(o + 1)/3
Let z(t) be the third derivative of -t**8/840 - 51*t**7/175 - 353*t**6/20 + 42409*t**5/150 - 1576*t**4 + 3840*t**3 - 3807*t**2. Suppose z(l) = 0. What is l?
-80, 1, 3
Suppose -4*y = 3*v - v - 292, 5*v = 10. Factor -3*h**3 - 392*h**2 + 31*h**3 - y + 168*h + 270*h**2 - 2*h**4.
-2*(h - 6)**2*(h - 1)**2
Let s(j) be the first derivative of j**6/15 + 16*j**5/25 - 13*j**4/10 - 184*j**3/15 + 96*j**2/5 - 1049. Let s(y) = 0. What is y?
-8, -4, 0, 1, 3
What is r in -186/25 - 2/25*r**2 + 68/25*r = 0?
3, 31
Factor 67/9*q + 25/9*q**3 - 23/3*q**2 - 22/9 - 1/9*q**4.
-(q - 22)*(q - 1)**3/9
Let l be 7 + 60/((-15)/1). Let q(h) be the second derivative of 0 + 1/40*h**5 - 1/3*h**l + 1/2*h**2 - 16*h - 1/48*h**4. Factor q(g).
(g - 2)*(g + 2)*(2*g - 1)/4
Let c(j) be the second derivative of -j**5/100 + 1329*j**4/20 - 265069*j**3/2 + 3972049*j**2/10 + 1380*j - 2. Factor c(z).
-(z - 1993)**2*(z - 1)/5
Let u(g) be the first derivative of 0*g**2 - 3/4*g**4 + 2*g**3 + 39 + 0*g. Factor u(w).
-3*w**2*(w - 2)
Let o(b) be the second derivative of 75*b - 1/10*b**5 + 5/4*b**2 + 1/60*b**6 + 1/3*b**3 + 0 - 1/4*b**4. Let o(h) = 0. Calculate h.
-1, 1, 5
Let m(i) be the first derivative of i**3/15 - 107*i**2/5 - 43*i - 1090. Factor m(f).
(f - 215)*(f + 1)/5
Let l be 50 + (-696)/9 - -29. Determine b, given that -380/3*b - 7220/3 - l*b**2 = 0.
-38
Let v(o) be the first derivative of o**4/4 + 6*o**3 - 96*o**2 + 416*o + 7300. Factor v(w).
(w - 4)**2*(w + 26)
Let k(f) = 3*f**2 - 8*f - 35. Let y be k(5). Suppose y = 4*m - 3*c - 24, 14 = 27*m - 29*m - 5*c. Factor t**2 + 0 + 0*t + 1/2*t**m - 1/2*t**4.
-t**2*(t - 2)*(t + 1)/2
Let x(y) = y**3 + 33*y**2 + 309*y + 589. Let o be x(-15). Factor 559/4*r**3 + 3*r - 169/4*r**o - 40*r**2 + 0.
-r*(r - 3)*(13*r - 2)**2/4
Factor 67/3*j**2 + 10/3*j**3 - 160/3*j + 28 - 1/3*j**4.
-(j - 14)*(j - 1)**2*(j + 6)/3
Let k = -751 - 155. Let x = -905 - k. Factor -v - x - 1/4*v**2.
-(v + 2)**2/4
Let k(m) be the first derivative of -2/25*m**5 + 104/5*m**2 - 128/5*m + 7/5*m**4 - 259 - 8*m**3. Let k(j) = 0. Calculate j.
2, 8
Let u(k) = -3*k**2 - 1091*k - 2130. Let y(h) = 39*h**2 + 14193*h + 27690. Let b(v) = 27*u(v) + 2*y(v). Let b(l) = 0. What is l?
-355, -2
Let c(d) = -9*d + 2. Let u be c(-9). Let k = 172 - u. Factor -9 - k + 54*l + 43*l - 18*l**2 - 13*l.
-2*(3*l - 7)**2
Suppose -3 - 5 = -5*i - s, 4*i + 5*s + 2 = 0. Suppose -2*t + 0*t = -8. Factor 23*k**t - 18*k**4 - 3*k**2 - 7*k**3 + 22*k**3 + 13*k**i.
5*k**2*(k + 1)*(k + 2)
Let w(d) = -24*d**3 + 4*d**2 + 76*d - 52. Let m(u) = -47*u**3 + 9*u**2 + 153*u - 99. Let n(k) = 4*m(k) - 7*w(k). What is f in n(f) = 0?
-2, 2/5, 2
Let h(g) be the second derivative of 40/21*g**3 - 1/21*g**4 - 40 - 38/7*g**2 + 3*g. Suppose h(a) = 0. Calculate a.
1, 19
Let x(a) be the third derivative of -1/1575*a**7 + 0 + 1/180*a**6 - 7/60*a**4 + 49*a**2 + 0*a**3 + 17/450*a**5 + a. Determine u, given that x(u) = 0.
-3, 0, 1, 7
Suppose 2*d - 5*u - 100 = 0, 5*u - 80 = 14*d - 15*d. Let q be (100/d)/((-35)/(-42)). Factor -50/11*r**3 + 72/11*r + 16/11 + 60/11*r**q.
-2*(r - 2)*(5*r + 2)**2/11
Suppose 8*d + 55 = 15. Let n be (d + 2)/((-17)/(-34)). Let l(a) = -2*a**2 + 2. Let h(t) = t - 1. Let f(o) = n*h(o) - l(o). Factor f(b).
2*(b - 2)*(b - 1)
Let d be 1 - 3 - (62 + -56). Let z be (8*(-8)/(-40))/(d/(-20)). Find l, given that 143/3*l**2 + 0 + 25/3*l**3 + 1/3*l**z - 169/3*l = 0.
-13, 0, 1
Let m = -10526 + 1136809/108. Let p(g) be the third derivative of -7/540*g**6 - 4*g**2 - 1/315*g**7 + 0 - m*g**4 + 0*g**3 + 0*g - 1/54*g**5. Factor p(c).
-2*c*(c + 1)**2*(3*c + 1)/9
Let o be (-2)/4 - 397504/896. Let z = 445 + o. Factor 26/7*g**4 - z*g**5 - 32/7*g**3 + 8/7*g**2 + 0*g + 0.
-2*g**2*(g - 2)**2*(3*g - 1)/7
Let h(y) be the second derivative of -y**4/3 - 58*y**3/3 - 156*y**2 - 2065*y - 2. Solve h(z) = 0.
-26, -3
Let u(c) = 2*c**2 - 92*c + 86. Let d(i) = -2*i**2 + 96*i - 88. Let v(g) = 2*d(g) + 3*u(g). What is t in v(t) = 0?
1, 41
Factor 547/9*s - 182/3 - 1/9*s**2.
-(s - 546)*(s - 1)/9
Let b(m) = -m**2 + 12*m + 4. Let q be b(12). Suppose -q*i + 11 = -0*p + p, -3*p - 3 = 0. Factor 3 + 2*r**3 - r**2 - 3*r**i - 2*r**2 + r.
-(r - 1)*(r + 1)*(r + 3)
Factor 3568 - 103118*r + 3*r**3 + r**3 + 106702*r + 908*r**2.
4*(r + 2)**2*(r + 223)
Solve -27/2 + 943/4*s + 35/4*s**2 = 0 for s.
-27, 2/35
Let q be (142/6 - (-54)/(-18))/((-128)/(-96)). Find g, given that -5 + q*g - 3/2*g**2 = 0.
1/3, 10
Suppose t + 8*q - 13 = 6*q, -4*t + 40 = 2*q. Suppose 4*p - t*p = -10. Factor -8*a**4 + 4*a**5 + a**2 + 2*a**p + 6*a**2 - a**2 - 4*a**3.
4*a**2*(a - 2)*(a - 1)*(a + 1)
Let u(a) be the second derivative of a**8/840 - a**6/90 + a**4/12 + 59*a**3/3 - 16*a. Let l(v) be the second derivative of u(v). Factor l(w).
2*(w - 1)**2*(w + 1)**2
Suppose 3*j - 3*h = 12, 4*h = j + 1 - 5. Suppose f + 3 = -3*d, 0 = 2*f + 5*d - 13 + 18. Solve f + 0*s - 1/5*s**2 + 1/5*s**j + 0*s**3 = 0.
-1, 0, 1
Let r(u) = 3*u**5 + 17*u**4 + 26*u**3 + 17*u**2 + 3*u. Let c(o) = -23*o**4 - 17*o**4 + 41*o**4 + o**2. Let h(m) = -c(m) + r(m). Find n, given that h(n) = 0.
-3, -1, -1/3, 0
Let f = 91619 - 91617. Factor -1/2 - 2*k**f - 5/2*k.
-(k + 1)*(4*k + 1)/2
Suppose 4*b = -5*c + 7*c, 0 = -4*b - 2*c - 16. Let x be 5 - -1 - 4/(b + 4). Factor -9*u**3 + 0*u**3 + x*u**2 + 10*u**3 - 6*u - 3*u**2.
u*(u - 2)*(u + 3)
Let y(o) = o**2 - 7*o + 7. Let k be y(7). Factor k*x + 10*x**4 - 60*x**2 + 86*x - 55*x**3 + 87*x + 5*x**5.
5*x*(x - 2)**2*(x + 3)**2
Let c(w) be the first derivative of -w**3 - 237*w**2 - 3802. What is j in c(j) = 0?
-158, 0
Let i(b) be the third derivative of 16 + 9/20*b**6 + 0*b**5 + 2*b**2 + 0*b + 0*b**3 - 27/8*b**4 + 1/112*b**8 + 4/35*b**7. Let i(w) = 0. Calculate w.
-3, 0, 1
Solve 73*j**2 + 22*j**2 + 105*j**3 - 12972*j + 49*j**2 + 13032*j - 3*j**5 + 18*j**4 = 0 for j.
-2, -1, 0, 10
Let z(a) be the third derivative of 29*a**6/50 + 259*a**5/75 - a**4/5 + 7*a**2 + 22*a + 4. Factor z(w).
4*w*(w + 3)*(87*w - 2)/5
Let c(s) = -21*s**3 - 7*s**3 - 3*s**3 - 11*s - 64*s**2 - 3 - 8*s**3 + 2. Let m(r) = r**3 - 3*r + 1. Let u(d) = c(d) + 5*m(d). Let u(b) = 0. What is b?
-1, 2/17
Let y be (3 - 9)/((-1)/(-2)*-1). Suppose -19*x + 69 = y. Determine c, given that -21/2*c**x - 12*c + 41/2*c**2 + 2 = 0.
2/7, 2/3, 1
Let z(f) be the first derivat