2*t. Factor a(h).
2*h**2*(h - 5)*(h + 2)**2/5
Let g be 475/(-95) - 1*39/6*-1. Determine p so that 9/2*p**3 - 3*p**2 + 0 - g*p**4 + 0*p = 0.
0, 1, 2
Let v(d) be the second derivative of d**6/45 + d**5/15 - d**4/18 - 2*d**3/9 + 19*d - 2. Let v(c) = 0. Calculate c.
-2, -1, 0, 1
Let k(d) be the first derivative of d**5/5 + 2*d**4/3 - 2*d**3/3 - 4*d**2 - 22*d - 18. Let y(o) be the first derivative of k(o). Factor y(r).
4*(r - 1)*(r + 1)*(r + 2)
Let w(r) be the third derivative of -r**8/1176 + 2*r**7/735 - r**6/420 + 3*r**2 - 4*r. Let w(y) = 0. Calculate y.
0, 1
Let c(p) be the second derivative of -21*p + 9/16*p**3 + 3/160*p**5 + 0 + 0*p**2 - 3/16*p**4. Factor c(k).
3*k*(k - 3)**2/8
Let m(z) = -z**3 + 2*z**2. Let o(a) = 5*a**5 + 25*a**4 + 16*a**3 - 82*a**2 - 15*a + 45. Let f(d) = 6*m(d) + o(d). Solve f(k) = 0 for k.
-3, -1, 1
Let c(t) be the first derivative of -1/11*t**2 + 1/22*t**4 + 4/33*t**3 - 4/11*t + 6. Factor c(g).
2*(g - 1)*(g + 1)*(g + 2)/11
Suppose -5*x = 10*x + 15. Let k be -3 - (1*x)/(17/51). Factor -3/7*u**3 + 9/7*u + 6/7 + k*u**2.
-3*(u - 2)*(u + 1)**2/7
Let p(a) be the second derivative of -a**4/6 - 5*a**3/3 - 4*a**2 + 17*a. Suppose p(t) = 0. Calculate t.
-4, -1
Let m(v) = -v**2 - 21*v - 51. Let z be m(-18). Determine a so that -a - z*a**2 - a + 45 - a**3 - 45 = 0.
-2, -1, 0
Let o(f) be the first derivative of -f**6/1440 - f**5/160 - f**4/48 - 7*f**3/3 + 11. Let x(d) be the third derivative of o(d). Find k such that x(k) = 0.
-2, -1
Let d(h) be the third derivative of -h**5/45 + 11*h**4/3 - 242*h**3 + 133*h**2. Let d(v) = 0. Calculate v.
33
Let v(c) be the second derivative of c**4/30 - 26*c**3/3 + 845*c**2 + 26*c + 3. What is m in v(m) = 0?
65
Solve 1300*i - 1352 + 1/2*i**3 + 103/2*i**2 = 0.
-52, 1
Let c(d) be the second derivative of -d**5/170 + 7*d**4/51 - 35*d**3/51 + 22*d**2/17 - 218*d. Factor c(t).
-2*(t - 11)*(t - 2)*(t - 1)/17
Find t, given that 8*t**5 + 32 + 132*t + 129*t**3 + 43*t**3 + 3*t**4 + 57*t**4 + 232*t**2 + 12*t = 0.
-2, -1, -1/2
Let r(q) be the third derivative of 2/105*q**7 + 0*q**3 - 1/12*q**4 + 0*q + 0 - 15*q**2 - 1/15*q**6 + 1/9*q**5 - 1/504*q**8. Factor r(f).
-2*f*(f - 3)*(f - 1)**3/3
Let r(t) be the first derivative of 6*t**5/5 + 3*t**4/8 + 63. Let r(v) = 0. What is v?
-1/4, 0
Suppose 630*o**2 + 1380*o**2 + 0*o**4 - 2265*o + 25*o**4 - 4320 - 7815*o + 535*o**3 = 0. What is o?
-12, -2/5, 3
Factor -32/5*u + 126/5 + 2/5*u**2.
2*(u - 9)*(u - 7)/5
Let a(o) = 5 + 9 - o - 21 + 17. Let l be a(8). Let -1/2*w**4 + 0*w**l + w + 1/2 - w**3 = 0. Calculate w.
-1, 1
Let g(m) be the first derivative of m**8/6720 + m**7/3360 - m**6/480 - m**5/96 - m**4/48 + 3*m**3 + 33. Let h(j) be the third derivative of g(j). Factor h(p).
(p - 2)*(p + 1)**3/4
Suppose -23*r + 10*r = 0. Let d(o) be the third derivative of -1/36*o**4 + 5*o**2 + 0*o**3 - 1/90*o**6 + 0 + r*o - 1/30*o**5. Suppose d(p) = 0. Calculate p.
-1, -1/2, 0
Let w(a) be the first derivative of 5*a**3/3 + 7*a**2/2 - 7*a - 4. Let r(s) = -3*s - s**2 - 2 + 5 - s**2. Let g(n) = -7*r(n) - 3*w(n). Factor g(q).
-q**2
Let i be (21/35)/(54/15). Let u(m) be the second derivative of 0*m**2 - 7*m - i*m**4 + 1/3*m**3 + 0. Suppose u(a) = 0. Calculate a.
0, 1
Let s(l) be the first derivative of -l**3/6 - 7*l**2/2 + 15*l/2 + 671. Factor s(g).
-(g - 1)*(g + 15)/2
Suppose -41*x + 40*x + 15 = 5*b, b - x = -3. Suppose 6/13*n**b + 0 - 6/13*n**4 - 4/13*n + 4/13*n**3 = 0. Calculate n.
-1, 0, 2/3, 1
Let h be 4/(-3 + -1)*-5. Factor 2 + 40*c**2 + 8 - h*c - 45*c**2.
-5*(c - 1)*(c + 2)
Let y(m) = m**2 + m - 1. Let g = -90 - -91. Let q(x) = -12*x**2 - 36*x + 32. Let p(w) = g*q(w) + 16*y(w). Factor p(v).
4*(v - 4)*(v - 1)
Let s(r) be the first derivative of 29 - 2/3*r**3 - 12/5*r + 17/5*r**2. Solve s(h) = 0.
2/5, 3
Let m(f) be the third derivative of 0 - 15*f**2 - 1/90*f**4 + 1/450*f**5 + 0*f + 0*f**3. Factor m(r).
2*r*(r - 2)/15
Let i(x) be the second derivative of -x**7/84 - 17*x**6/60 - 53*x**5/20 - 145*x**4/12 - 325*x**3/12 - 125*x**2/4 - x + 64. Factor i(l).
-(l + 1)**2*(l + 5)**3/2
Let k(l) = -l**3 + l**2 - 2*l - 4. Let y be k(0). Let g be 6/(-10)*(2 + y). Let -2/5*h**2 - 4/5 - g*h = 0. What is h?
-2, -1
Let o(v) = v**2 + 5*v. Let r be o(-9). Suppose -r = -4*f - m, 2*m - 12 = -2*f - 0*f. Factor -7*s**2 - 5*s + 12 + 0*s**2 - f.
-(s + 1)*(7*s - 2)
Let m = -8 + 13. Let j be (-6)/(-15)*m/1. Factor 4*g**3 - 2*g - 3*g**2 - 2 - 27*g**5 + 25*g**5 - 2*g**4 + 7*g**j.
-2*(g - 1)**2*(g + 1)**3
Let a(y) be the first derivative of -y**4/10 - 2*y**3/5 + 2*y**2 + 20. Factor a(l).
-2*l*(l - 2)*(l + 5)/5
Let a(q) be the first derivative of 5*q**4/4 + 85*q**3/3 + 75*q**2 + 347. Factor a(p).
5*p*(p + 2)*(p + 15)
Let h(b) be the first derivative of -b**4/14 + 104*b**3/7 - 8112*b**2/7 + 281216*b/7 + 5. Factor h(o).
-2*(o - 52)**3/7
Let w(a) = 2*a + 22. Let y be w(-9). Find v, given that y*v**2 - 24*v**3 - 4*v - 9*v**2 + 15*v**5 - 27*v**2 - 115*v**5 + 160*v**4 = 0.
-1/5, 0, 1
Suppose 4*o = d - 41 + 5, -32 = -2*d - 2*o. Suppose w + 4*w - d = 0. Determine g, given that -7*g + 0*g + 7*g - w*g**2 = 0.
0
Let l = 61601/160 + -385. Let s(m) be the second derivative of -1/32*m**4 + 0*m**2 + 0 + 1/12*m**3 - l*m**5 + 6*m. Factor s(q).
-q*(q - 1)*(q + 4)/8
Let d(p) be the first derivative of -p**4/3 - 4*p**3/3 + 16*p/3 + 43. Find n such that d(n) = 0.
-2, 1
Let k = 258/29 - 1232/145. Factor 0 + 2/5*p - k*p**3 + 0*p**2.
-2*p*(p - 1)*(p + 1)/5
Let i be ((-1388)/2429)/(2 + ((-32)/14 - 1)). Determine s, given that -i - 22/9*s**2 - 26/9*s = 0.
-1, -2/11
Suppose -3*n + 148 = m, -5*n - 3*m + 266 - 22 = 0. Let f be -1 - (-8)/10 - (-85)/n. Factor 0 - f*o - 9/2*o**2.
-3*o*(3*o + 1)/2
Let i(h) be the third derivative of h**6/210 - 4*h**5/5 + 56*h**4 - 6272*h**3/3 - 2*h**2 + 13*h. Find j, given that i(j) = 0.
28
Let t(y) be the first derivative of -y**3/4 + 9*y**2/8 - 3*y/2 - 62. Let t(c) = 0. Calculate c.
1, 2
Let g(t) be the second derivative of 14/3*t**4 + 0*t**2 + 13/15*t**6 + 0 - 2/21*t**7 - 8/3*t**3 - 3*t**5 - 41*t. What is r in g(r) = 0?
0, 1/2, 2
Factor 4563*a**3 + 3*a**4 + 2*a**4 + 10240000*a + 192000*a**2 - 2963*a**3 + 204800000.
5*(a + 80)**4
Factor -2/15*h**3 + 4/15*h**2 + 2/3*h - 4/5.
-2*(h - 3)*(h - 1)*(h + 2)/15
Determine x so that 66*x**2 + 1356*x**3 - 683*x**3 - 675*x**3 = 0.
0, 33
Factor -1/3*l**3 + 0*l - 4/9*l**4 + 0 + 1/9*l**2.
-l**2*(l + 1)*(4*l - 1)/9
Let r(q) = q**2 + 12*q - 22. Let j be r(-15). Let a = -20 + j. Factor -b**3 + 3*b**a - 18*b**4 + b**3 + 27*b**5.
3*b**3*(3*b - 1)**2
Let k(g) be the second derivative of -g**10/15120 - g**9/3780 + g**7/630 + g**6/360 + g**4/3 + 17*g. Let v(q) be the third derivative of k(q). Factor v(b).
-2*b*(b - 1)*(b + 1)**3
Let u(i) be the third derivative of -i**6/160 - 23*i**5/80 + i**4/32 + 23*i**3/8 + 870*i**2. Factor u(k).
-3*(k - 1)*(k + 1)*(k + 23)/4
Solve -3/4*s**4 + 1/4*s**3 + 3/4*s**2 - 1/2*s + 0 + 1/4*s**5 = 0.
-1, 0, 1, 2
Let m(s) = 5*s + 20. Let z be m(-4). Suppose 5*u + 4*u - 27 = z. Solve -2/7*c**u - 6/7*c - 2/7 - 6/7*c**2 = 0 for c.
-1
Factor -16*m**3 - 90*m**2 + 50*m**2 - 16*m**3 + 96*m + 28*m**3.
-4*m*(m - 2)*(m + 12)
Let v(l) = 1810*l**2 - 7235*l + 915. Let h(o) = -67*o**2 + 268*o - 34. Let b(n) = -55*h(n) - 2*v(n). Find u, given that b(u) = 0.
2/13, 4
Let o(x) be the second derivative of -15*x + 0 - 1/3*x**3 - 1/6*x**4 + 1/15*x**5 + 2/3*x**2. Factor o(p).
2*(p - 2)*(p + 1)*(2*p - 1)/3
Factor 13*z**2 - 48*z**3 - 7*z**2 + 90*z**3 - 49*z**3 + z**4.
z**2*(z - 6)*(z - 1)
Let d be (-17)/((-3)/(-24)*-4). Let s = -135/4 + d. Factor s*b**4 - 1/2*b**3 - 1/4 + 1/2*b + 0*b**2.
(b - 1)**3*(b + 1)/4
Let w(l) be the second derivative of l**4/36 - 199*l**3/18 - 100*l**2/3 + 2*l - 14. Determine t so that w(t) = 0.
-1, 200
Let w(b) = b**3 - 5*b**2 + 9*b**2 - 19*b + 6 + b**3 + 3*b**3. Let x(m) = m**2 - m - 1. Let a(n) = -w(n) + 4*x(n). Factor a(l).
-5*(l - 1)**2*(l + 2)
Let z be 12/15 - (0 + 0). Suppose -3*l + 4 = 4*y, -10 + 14 = -2*l + 4*y. Factor -4/5*d**2 + z*d + l.
-4*d*(d - 1)/5
Let w = -2/159 - -12883/318. Factor w*j + 0 + 63/2*j**2 + 1/2*j**4 - 17/2*j**3.
j*(j - 9)**2*(j + 1)/2
Let m(u) be the second derivative of u**4/12 - u**3/3 + u**2/2 - 41*u. Find w, given that m(w) = 0.
1
Let j(t) be the third derivative of t**5/60 - t**4/24 - t**3/3 + t**2 - 47*t. Solve j(l) = 0 for l.