erivative of k(a). Factor n(t).
-5*(t + 32)**2
Let w(f) be the first derivative of -4*f**5/5 + 79*f**4 - 1792*f**3 - 17640*f**2 + 1371. Factor w(z).
-4*z*(z - 42)**2*(z + 5)
Let m(s) be the first derivative of 0*s**2 - 21/4*s**4 - s**3 + 21 + 0*s. Factor m(x).
-3*x**2*(7*x + 1)
Let s(z) be the third derivative of z**5/60 - 7*z**4/24 + z**3/3 + 19*z**2. Let h be s(7). Factor 5*o + h*o**2 + 6*o + o + 14 + 4*o.
2*(o + 1)*(o + 7)
Find c such that -121/4*c + 0 - 1/4*c**2 = 0.
-121, 0
Factor 9*a - 4*a**3 + 123*a**2 - 58*a - 15*a**3 - 2*a**3 - 3*a**4 - 50*a.
-3*a*(a - 3)*(a - 1)*(a + 11)
Suppose -3 = -17*o + 65. Factor 305*q**3 + 29 - 2*q**5 + 83*q**3 + 92*q**o + 2959*q + 592*q**2 + 71 - 2561*q.
-2*(q - 50)*(q + 1)**4
Let a be 70/1015 - ((-415)/290 + -5) - -10. Factor 3/2*d**2 - a*d - 18.
3*(d - 12)*(d + 1)/2
Let s(h) be the second derivative of -2*h**6/15 + 349*h**5/20 + 207*h**4/4 + 179*h**3/6 - 89*h**2/2 + 394*h. Determine m, given that s(m) = 0.
-1, 1/4, 89
Factor -18 - 141 - 108*k**2 - 501 + 764*k + 13*k**3 - 9*k**3.
4*(k - 15)*(k - 11)*(k - 1)
Let b = -92 - -95. Factor -3*o**3 - 12*o - b*o**4 - 20*o**2 + 9*o**2 - 12*o**3 - 13*o**2.
-3*o*(o + 1)*(o + 2)**2
Let z(g) = 4*g**2 - 98*g + 51. Let o be z(24). Let t be ((-24)/(-120))/(o/10). Solve -t - 2/9*y**2 - 8/9*y = 0.
-3, -1
Let h = -19943 - -19943. Solve -6/7 + h*f**2 - f + 1/7*f**3 = 0.
-2, -1, 3
Let z(a) be the first derivative of 199 - 38/7*a**2 - 22/21*a**3 - 80/7*a - 1/14*a**4. Find n, given that z(n) = 0.
-5, -4, -2
Suppose -34 = -12*u + 13*u + 4*z, -2*z = -u + 20. Let 0*t**3 + 3/5*t**4 - 3/5*t**u + 0*t + 0 = 0. What is t?
-1, 0, 1
Suppose 4*v + 4*p + 37 - 33 = 0, -4*v = 2*p - 2. Find z such that -6*z**v - 63*z - 26 + 0 + 15*z - 3*z**3 - 10 - 15*z**2 = 0.
-3, -2
Let z(n) be the second derivative of -n**6/20 + n**5/60 - n**3/3 + n**2/2 + 54*n - 2. Let s(m) be the second derivative of z(m). Factor s(k).
-2*k*(9*k - 1)
Suppose 4 = 6*i - 7*i, 0 = 3*b - 2*i - 14. Determine z so that 10 - 95*z**3 - 16*z**2 - 59*z**2 - 2*z - 35*z**4 - b*z - z = 0.
-1, 2/7
Suppose -c**3 - 1820 + 956 - c**3 + 558*c - 84*c**2 = 0. What is c?
-48, 3
Let g be 14/4 - ((-385)/(-20) + 149 + -170). Factor -g*n - 27/4*n**2 + 3/2.
-3*(n + 1)*(9*n - 2)/4
Suppose 23*r + d = 20*r + 78, -5*r + 130 = 3*d. Suppose 6 = 3*l - 3, -5*y + r = 2*l. Factor -1/3*m**y + m**2 + 0 - 2/3*m + 0*m**3.
-m*(m - 1)**2*(m + 2)/3
Let k(c) be the first derivative of 68/25*c**5 - 50 - 9*c**4 + 7/5*c**6 + 12/5*c + 29/5*c**2 + 0*c**3. Let k(g) = 0. Calculate g.
-3, -1/3, -2/7, 1
Suppose -a + 3 = -28*o + 23*o, 2*a = -5*o + 6. Let j(l) be the first derivative of 2/27*l**a + 26 + 1/9*l**2 - 1/18*l**4 - 2/9*l. Factor j(q).
-2*(q - 1)**2*(q + 1)/9
Suppose -51*v = -52*v + 6. Let t be 35 + v*(-8)/(-12). Find w, given that -32 - 2*w + 98*w + 34*w**3 + 64*w**2 - t*w**3 - 19*w**3 - 14*w**4 = 0.
-2, 2/7, 2
Factor 7/3*a**4 + 6*a**3 + 1 + 22/3*a**2 + 1/3*a**5 + 13/3*a.
(a + 1)**4*(a + 3)/3
Let r(q) be the third derivative of 361*q**7/210 + 57*q**6/5 + 286*q**5/15 - 12*q**4 + 8*q**3/3 - 3433*q**2. Factor r(j).
(j + 2)**2*(19*j - 2)**2
Let v(j) = -3*j**3 + 48*j**2 + 341*j - 20. Let n(x) = 4*x**3 - 46*x**2 - 342*x + 24. Let d(m) = -5*n(m) - 6*v(m). Solve d(s) = 0 for s.
-21, -8, 0
Let i(p) be the first derivative of -2*p**3/3 - 421*p**2 + 5521. Factor i(k).
-2*k*(k + 421)
Let g(d) be the third derivative of d**8/1848 + 32*d**7/165 + 851*d**6/44 + 4107*d**5/55 + 2*d**2 + 7*d + 61. Factor g(n).
2*n**2*(n + 2)*(n + 111)**2/11
Let s be (26/12 - (-174)/(-261))*33/(264/16). Let l = -4 - -6. Factor 9*c**l + 3/2*c**s - 9 - 3/2*c.
3*(c - 1)*(c + 1)*(c + 6)/2
Let q(i) be the first derivative of i**4/42 + i**3/21 - 12*i**2/7 - 63*i - 39. Let b(v) be the first derivative of q(v). Factor b(j).
2*(j - 3)*(j + 4)/7
Factor -8*k**3 - 265*k**2 + 3283*k - 3023*k + 13*k**3.
5*k*(k - 52)*(k - 1)
Let i(z) be the third derivative of z**5/40 - 85*z**4/24 - 58*z**3/3 + 2*z**2 + 916*z. Find d, given that i(d) = 0.
-4/3, 58
Factor -246/7*n - 484/7 - 2/7*n**2.
-2*(n + 2)*(n + 121)/7
Let t be (-27)/36*(96/27)/(-4). Let p(l) be the first derivative of -12*l + t*l**3 - 8 - l**2. Factor p(r).
2*(r - 3)*(r + 2)
Let g be (5/(-4))/(485/(-582))*(-8112)/(-180). Let 554/5*l**3 - 156*l**4 + 0 + g*l**5 + 8/5*l - 24*l**2 = 0. What is l?
0, 2/13, 1
Let 7760/7*g + 2/7*g**2 + 7527200/7 = 0. What is g?
-1940
Let i = 32 - -797. Let w = -826 + i. Let -16/7*q + 4/7*q**w - 40/7*q**2 + 10/7*q**4 + 0 = 0. Calculate q.
-2, -2/5, 0, 2
Let z be 42456/(-2196) - (-1 + -25). Factor -z - 2*u + 2/3*u**2.
2*(u - 5)*(u + 2)/3
Find q such that -7*q - q**2 - 8 - 4 + 8 + 26 - 2*q = 0.
-11, 2
Let j(f) = 71*f**3 - 1830*f**2 + 7133*f - 7073. Let a(w) = 21*w**3 - 610*w**2 + 2378*w - 2358. Let b(l) = -7*a(l) + 2*j(l). Factor b(x).
-5*(x - 118)*(x - 2)**2
Let t(s) = -36*s - 70. Let o be t(-2). Factor 5*m**3 + 61787*m - m**o - 61812*m + 36*m**2 - 375.
5*(m - 3)*(m + 5)**2
Suppose 159 - 264 = -2*x - 33*x. Let h be (-1)/8*-1*6. Factor -h + 3/2*b**2 + 3/4*b + 3/4*b**5 - 3/4*b**4 - 3/2*b**x.
3*(b - 1)**3*(b + 1)**2/4
Suppose 137 - 137 = -156*k. Let t(j) be the second derivative of -12*j - 1/10*j**3 - 1/50*j**6 + k + 0*j**2 + 1/20*j**4 + 3/100*j**5. Let t(z) = 0. What is z?
-1, 0, 1
Let k be ((-4)/240)/(6 + 120/(-18)). Let o(f) be the first derivative of k*f**4 - 12 + 0*f**2 + 1/50*f**5 + 0*f + 0*f**3. Factor o(p).
p**3*(p + 1)/10
Let r(m) be the first derivative of 9*m**2/2 + 182*m - 82. Let h be r(-20). Let 4/5*s**3 + 0 + 24/5*s**h + 36/5*s = 0. Calculate s.
-3, 0
Let c(k) be the first derivative of k**6/18 - 11*k**5/5 - 17*k**4/6 + 857. Suppose c(n) = 0. What is n?
-1, 0, 34
Let n(f) be the second derivative of -7*f**3/3 + 387*f**2 + 189*f + 1. Let w be n(55). Factor 0*g**2 + 0 + 0*g + 0*g**3 + 1/6*g**w.
g**4/6
Find x, given that -4/11 + 554/11*x**3 - 554/11*x + 4/11*x**2 = 0.
-1, -2/277, 1
Let v(c) be the first derivative of -c**4/28 - c**3/21 + 2*c**2/7 + 4*c/7 - 2003. Factor v(t).
-(t - 2)*(t + 1)*(t + 2)/7
Suppose -585*j + 597*j = 24. Let d(f) be the first derivative of 30 + 1/3*f**3 + 3/8*f**4 - 11/12*f**j + 1/15*f**5 - f. Let d(q) = 0. Calculate q.
-3, -2, -1/2, 1
Let u(h) = -4*h**3 - 1. Let l(o) be the first derivative of -15*o**4/4 - 4*o**3/3 - 11*o**2/2 - 10*o + 33. Let q(c) = -l(c) + 4*u(c). Factor q(v).
-(v - 6)*(v + 1)**2
Let k(p) be the first derivative of 2 - 2/63*p**3 - 23/21*p**2 - 44/21*p. Factor k(y).
-2*(y + 1)*(y + 22)/21
Factor -1527/5 + 1524/5*c + 3/5*c**2.
3*(c - 1)*(c + 509)/5
Let p(z) be the first derivative of 10*z - 9*z**2 + 8/3*z**3 + 99. Factor p(c).
2*(c - 1)*(4*c - 5)
Let h(n) = -5*n**3 - 385*n**2 - 100*n + 112. Let i(l) = 2*l**3 + 172*l**2 + 50*l - 56. Let w(t) = 4*h(t) + 9*i(t). Solve w(k) = 0 for k.
-4, 1, 7
Let j = -90049 + 90052. Let -1/4*x**j - 15/4 - 13/4*x**2 + 29/4*x = 0. What is x?
-15, 1
Let -18*a**3 + 312174*a**2 - 312242*a**2 + a**4 - 14*a**3 + 0 + 0 = 0. Calculate a.
-2, 0, 34
Factor 3*w**2 - 23505 + 27688 - 714*w + 38300.
3*(w - 119)**2
Let o = -352 + 348. Let s be (15/(-9) - o)*84/98. Solve 3/2*w**3 + 0 - 3/2*w**s + 0*w = 0 for w.
0, 1
Let z = 282516 + -282516. What is o in -3/7 + z*o**2 - 6/7*o + 6/7*o**3 + 3/7*o**4 = 0?
-1, 1
Let q be (3/((-45)/(-6)))/(44/220). Factor 9*v**q - 15*v + 11*v - 13*v**2 + 2*v**2.
-2*v*(v + 2)
Let h(y) be the first derivative of y**3/3 + 79*y**2/2 + 78*y - 5526. Determine v so that h(v) = 0.
-78, -1
Let i = -95 - -97. Suppose 0 = 2*q + 4*u - 18, 0 = i*q + u - 13 + 4. Factor 7*f - f**2 - 4*f**2 + q*f**2 - 1 - 1 - 3*f**3.
-(f - 1)*(f + 2)*(3*f - 1)
Let p = 180558 + -2347248/13. Let -2/13*i**2 - p + 8/13*i = 0. Calculate i.
1, 3
Let x be 133/399*(-40 + 1) - -8*2. Find l such that -9/4 + 1/2*l**x + 6*l - 13/4*l**2 = 0.
1/2, 3
Let x = -80590 - -644723/8. Determine w, given that 51/2*w - 18*w**2 - 12 - x*w**4 + 39/8*w**3 = 0.
1, 2, 8
Let s(d) be the third derivative of -d**5/210 - 11*d**4/42 - 40*d**3/21 + 84*d**2 - 1. Factor s(n).
-2*(n + 2)*(n + 20)/7
Factor -5/3*o + 0 + 76*o**2.
o*(228*o - 5)/3
Suppose -4*h + q = -3, -5*h - 140*q = -137*q - 25. Factor 24/5*f + 0 + 2/5*f**h.
2*f*(f + 12)/5
Let q(r) = 5*r**2 + 3*r + 1. Let p(h) = -24*h**2 - 12*h + 60. Let a(i) = p(i) + 4*q(i). Let a(v) = 0. What is v?
-4, 4
Let c(w) be the third derivative of -w**5/15 - 258*w**4 - 