 - 5*a**2 + 1/1800*a**6 + 0 - 1/60*a**4 - 1/600*a**5. Let m(l) be the first derivative of g(l). Factor m(s).
(s - 2)*(s + 1)/5
Let v(s) be the first derivative of 9*s**2 - 104*s - 114. Let j be v(6). Determine x, given that 0 + 4/7*x - 4/7*x**j - 4/7*x**3 + 4/7*x**2 = 0.
-1, 0, 1
Suppose -4*u - 1 = -9, 2*j - 4*u = 10. Find i such that -i**4 - 3*i + 0*i**4 + j*i**2 + 5*i**4 - 9*i**3 - i**4 = 0.
0, 1
Let w be 333/99 + -3 - 28/77. Factor w + 1/6*i**5 - 2/3*i - 2/3*i**2 + 2/3*i**4 + 1/2*i**3.
i*(i - 1)*(i + 1)*(i + 2)**2/6
Let p(u) be the second derivative of -u**7/273 + u**6/195 + u**5/130 - u**4/78 + 376*u. Suppose p(z) = 0. Calculate z.
-1, 0, 1
Let s be (-6)/24*0 - (-4)/(-2). Let q be s + (-8)/20*-10. Find k, given that -3/4*k**q + 3/4*k + 3/2 = 0.
-1, 2
Let p be (6/(-45) + 69/(-1035))/(19/(-10)). Suppose 2/19 + 6/19*w + 6/19*w**2 + p*w**3 = 0. What is w?
-1
Let c be 2 + (-27)/15 - (-72)/15. Let h be (2/c)/(2 - 78/45). What is w in 9/2*w**2 + 0 - h*w + 3/2*w**4 - 9/2*w**3 = 0?
0, 1
Let w(y) = y**2 - 584*y. Let x(h) = -h**2 + 294*h. Let j(i) = 3*w(i) + 5*x(i). Determine f so that j(f) = 0.
-141, 0
Let h = 184 - 1103/6. Let c(w) be the third derivative of 1/60*w**5 + 0*w + 1/12*w**4 + h*w**3 + 0 + 4*w**2. Suppose c(j) = 0. What is j?
-1
Let c(b) = 10*b**2 - 4*b - 6. Let d = -5 - -11. Let y(f) = 9*f**2 - 3*f - 6. Let w(p) = d*c(p) - 5*y(p). Factor w(m).
3*(m - 1)*(5*m + 2)
Let h(i) be the third derivative of -1/4*i**3 - 1/12*i**4 + 0 - 1/120*i**5 + 0*i + 10*i**2. What is o in h(o) = 0?
-3, -1
Let h(t) be the first derivative of -5*t**3/3 + 5*t**2/2 + 10*t + 29. Suppose h(d) = 0. What is d?
-1, 2
Let t(n) = 3*n**2 + 57*n - 62. Let y(m) = -8*m**2 - 172*m + 187. Let u(p) = 7*t(p) + 2*y(p). Factor u(b).
5*(b - 1)*(b + 12)
Factor -36/5*t**2 + 4/5*t**4 - 36/5*t + 4/5*t**3 + 0.
4*t*(t - 3)*(t + 1)*(t + 3)/5
Let l(t) = -t**3 - 2*t**2 - 2*t - 4. Let q be l(-3). Suppose -2*h - m - 4 + q = 0, 4*m = 3*h - 16. What is j in -2*j**2 - 2*j**2 + 5*j**2 + h*j + j**2 = 0?
-2, 0
Let d = -5 - -10. Let n(b) = -9*b**2 - 9*b. Let p(o) be the first derivative of -2*o**3/3 - o**2 - 1. Let i(k) = d*n(k) - 24*p(k). Factor i(q).
3*q*(q + 1)
Let r(m) be the second derivative of 4*m**2 - 1/24*m**5 + 0 - 5/6*m**3 + 5/16*m**4 - 7*m. Let p(d) be the first derivative of r(d). Find j, given that p(j) = 0.
1, 2
Let l(o) be the second derivative of -o**6/45 - o**5/6 - o**4/3 - 73*o. Factor l(q).
-2*q**2*(q + 2)*(q + 3)/3
Let c(a) be the first derivative of 2*a + 26 - 1/9*a**3 - 1/6*a**2. Factor c(k).
-(k - 2)*(k + 3)/3
Let f = 36 - 35. Find o such that 3*o**3 - 4*o**2 + 1 - f + 4 + o**3 - 4*o = 0.
-1, 1
Let c(k) be the first derivative of -8/15*k**3 + 0*k - 3/20*k**4 - 7 + 3/10*k**2. Find v such that c(v) = 0.
-3, 0, 1/3
Let c = -461 + 463. Solve -4/3*b + 2/3*b**c + 2/3 = 0.
1
Factor -22*w - 6 - 17*w**2 + 6 - 3*w**3 - 5 - 3.
-(w + 1)*(w + 4)*(3*w + 2)
Let j(a) be the first derivative of a**5/45 + 31*a**4/36 + 11*a**3 + 605*a**2/18 - 2662*a/9 - 118. Determine s, given that j(s) = 0.
-11, 2
Let t(s) be the third derivative of s**6/180 + s**5/30 + s**3 - 29*s**2. Let q(w) be the first derivative of t(w). Factor q(c).
2*c*(c + 2)
Let p(z) be the first derivative of 2 + 1/14*z**2 + 0*z + 1/35*z**5 + 1/7*z**3 + 3/28*z**4. Determine x so that p(x) = 0.
-1, 0
Let v(g) be the second derivative of -g**4/21 + 20*g**3/21 - 50*g**2/7 + 17*g + 2. Find u, given that v(u) = 0.
5
Determine n so that 378/11*n**2 + 136/11*n + 8/11 = 0.
-2/7, -2/27
Let k(c) = -2*c**3 - 6*c**2 + 4. Let i(d) = 3*d**3 + 7*d**2 - 5. Suppose 15*q = 17*q - 8. Let y(f) = q*i(f) + 5*k(f). Find l such that y(l) = 0.
0, 1
Factor -113*q**2 - 17*q**3 - 25*q**2 + 50*q**3 - 135*q - 17*q**3 - 19*q**3.
-3*q*(q + 1)*(q + 45)
Factor 13057*g**2 + 4*g**4 + 1728 + 2448*g + 14108*g**2 - 26349*g**2 + 100*g**3.
4*(g + 1)*(g + 6)**2*(g + 12)
Let h(l) be the third derivative of -l**6/30 + 2*l**5/5 + 3*l**4/2 - 28*l**3/3 - 62*l**2. Factor h(f).
-4*(f - 7)*(f - 1)*(f + 2)
Factor 2*r**2 - 3/2*r**3 + 0*r - 1/2*r**4 + 0.
-r**2*(r - 1)*(r + 4)/2
Let m be (-23)/299*(-2)/6. Let b(z) be the second derivative of 1/130*z**5 - 4*z + 0 - 1/13*z**2 - m*z**3 + 1/78*z**4. Factor b(h).
2*(h - 1)*(h + 1)**2/13
Let d(a) = -a**2 - 25 + 3*a**3 + a**3 + 25 - 3*a. Let t(b) = 36*b**3 - 8*b**2 - 26*b. Let q(k) = -52*d(k) + 6*t(k). Factor q(w).
4*w**2*(2*w + 1)
Factor 1/5*f**3 + 18723/5*f + 493039/5 + 237/5*f**2.
(f + 79)**3/5
What is f in 1 + 3/5*f**2 + 1/5*f**3 - 9/5*f = 0?
-5, 1
Let r be (2*(-1)/1)/(21/(-42)). Let s(l) be the third derivative of 1/12*l**r - 1/90*l**5 - 2/9*l**3 + 0 + 0*l + l**2. Determine x, given that s(x) = 0.
1, 2
Let w = -817 - -817. Let c(q) be the third derivative of -1/6*q**4 + w - 1/120*q**5 - 4/3*q**3 - 3*q**2 + 0*q. Factor c(p).
-(p + 4)**2/2
Let f be 306/(-119) + (-4)/(-7). Let c = f + 4. Factor 10*n**2 + 8*n**4 - 18*n**c - 4*n**3 - n**5 + 5*n**5.
4*n**2*(n - 1)*(n + 1)*(n + 2)
What is j in -845 - 199*j**2 + 6*j**2 - 10*j**3 + 71*j**2 - 143*j**2 - 1820*j = 0?
-13, -1/2
Suppose 576 = 148*c - 146*c. Let n be (-11)/6*c/(-64). Factor -n*d - 9/4 + 3*d**2.
3*(d - 3)*(4*d + 1)/4
Let m(f) be the third derivative of -f**8/672 - f**7/28 + f**6/120 + f**5/4 - f**4/48 - 5*f**3/4 + 171*f**2 - 2. Find l such that m(l) = 0.
-15, -1, 1
Let -54/19*t - 18/19*t**2 - 54/19 - 2/19*t**3 = 0. Calculate t.
-3
Let u(k) = -k**4 - k**2 - 1. Let a(g) = 242*g**5 + 825*g**4 + 272*g**3 + 35*g**2 + 11. Let w(r) = 2*a(r) + 22*u(r). Find b, given that w(b) = 0.
-3, -2/11, 0
Let i = -354495/11 + 32183. Let a = i - -44. Determine o so that a*o**2 + 4/11 + 6/11*o = 0.
-2, -1
Let a(h) be the second derivative of -3*h**5/10 - 8*h**4/3 - 17*h**3/3 - 4*h**2 - 12*h - 1. Suppose a(g) = 0. What is g?
-4, -1, -1/3
Let f(k) = -3*k**2 + 3*k. Let z be f(1). Let c(d) be the third derivative of 0 + 6*d**2 + 0*d**3 + 0*d - 1/15*d**5 + z*d**4. Find j such that c(j) = 0.
0
Let h(l) be the first derivative of l**5/4 + 5*l**4/6 + 5*l**3/6 + 13*l + 12. Let c(p) be the first derivative of h(p). Let c(a) = 0. Calculate a.
-1, 0
Let v(y) = -3*y**2 + 98*y - 153. Let p be v(31). Factor 1/2*w**3 - 1/2*w + 0*w**p + 0.
w*(w - 1)*(w + 1)/2
Let h(j) be the first derivative of j**2/2 - j + 10. Let f(w) = w**2 + 1. Let n be (-4)/18 - (-16)/(-9). Let q(o) = n*h(o) - 2*f(o). Factor q(s).
-2*s*(s + 1)
Let v(f) be the second derivative of 5*f**4/12 - 5*f**3 + 2*f + 77. Solve v(o) = 0 for o.
0, 6
Factor -33/2 + 63/2*m - 3/2*m**3 - 27/2*m**2.
-3*(m - 1)**2*(m + 11)/2
Let k be -1 - (0 + -1)*-22. Let s = k + 26. Factor 11*d**2 + 4*d**s + d**4 - 5*d**2 + d**4 - 4*d**2.
2*d**2*(d + 1)**2
Let r(d) be the second derivative of -d**5/5 + 10*d**4/3 - 22*d**3 + 72*d**2 - 102*d. Factor r(w).
-4*(w - 4)*(w - 3)**2
Let q(y) = y**2 - 9*y. Let z be q(9). Suppose -9*u - u = z. Determine s, given that 2*s**2 + 4/3*s + u + 2/3*s**3 = 0.
-2, -1, 0
What is n in 2*n**4 + 165*n**2 - 79*n**3 - 114*n + 75*n**2 - 86*n + 37*n**3 = 0?
0, 1, 10
Let x(o) = 8*o. Let q be x(1). Suppose q*w = 5*w + 9. Let -n**2 + 13*n**w - 12*n**3 - 2 - n + 3*n**2 = 0. Calculate n.
-2, -1, 1
Factor 20/3*j - 8 + 4/3*j**2.
4*(j - 1)*(j + 6)/3
Let u = 168 - 165. Let d(l) be the first derivative of -1/2*l**u + 0*l - 3/2*l**2 + 6 + 3/8*l**4. Solve d(n) = 0 for n.
-1, 0, 2
Let x(o) be the second derivative of -o**7/21 - 8*o**6/15 + 93*o**5/5 - 162*o**4 + 693*o**3 - 1620*o**2 - 704*o. Determine a so that x(a) = 0.
-20, 3
Suppose -42 = -5*x - 9*x. Let n be (1 - (-4)/(-4))/2. Let n + 1/2*d - 1/2*d**x + 0*d**2 = 0. Calculate d.
-1, 0, 1
Let t(q) = q**2. Let n(l) = 8*l**2 + 4*l. Let h(k) = -8*k - 2. Let m be h(-1). Let a be 7/14 - m/4. Let s(y) = a*n(y) + 4*t(y). Find x, given that s(x) = 0.
-1, 0
Let x = 28 - 16. Suppose -4*a + 5*a - 2 = 0. Determine v, given that -x*v + 17*v - 8*v - 2 - v**a = 0.
-2, -1
Let a(i) be the first derivative of 22 + 0*i - 1/4*i**2 + 1/16*i**4 - 1/12*i**3. Solve a(g) = 0.
-1, 0, 2
Let u(t) be the first derivative of -22*t**5/45 - 7*t**4/3 - 94*t**3/27 - 4*t**2/3 + 8*t/9 - 63. Find x, given that u(x) = 0.
-2, -1, 2/11
Determine t so that -1/2*t**2 + 5/2*t - 3 = 0.
2, 3
Let y = -7 + 12. Suppose y*o - 5 + 15 = 4*n, -4*n + 16 = -2*o. Factor -2*b**o + b**2 - 12*b + 4*b**2 + 3 + 9.
3*(b - 2)**2
Let y be (-67 - -70)/(9/2). Determine n so that -2