+ 1/24*b**4 - 1/210*b**7 - 1/120*b**6 + 0*b**3. Factor s(d).
-d*(d - 1)*(d + 1)**2
Factor -35/4 + 9/2*h**2 - 33/8*h - 1/8*h**3.
-(h - 35)*(h - 2)*(h + 1)/8
Determine m, given that -33*m**2 - 1670*m - 32*m**2 - 31*m**2 - 34*m**2 + 125*m**2 = 0.
-334, 0
Let s = 338 + -486. Let z be (-333)/s - 6/(-8). Factor 8/15 + 10/3*r**z + 16/5*r + 6*r**2.
2*(r + 1)*(5*r + 2)**2/15
Let a(k) be the third derivative of k**8/84 - k**6/15 + k**4/6 - 2068*k**2. Factor a(r).
4*r*(r - 1)**2*(r + 1)**2
Let i(g) be the first derivative of 2/3*g**3 + 98*g - 77 - 14*g**2. Suppose i(v) = 0. What is v?
7
Suppose -53720*w = -53686*w - 1258. Let p(a) be the third derivative of 0*a + 0 - 1/45*a**3 - 1/60*a**4 + w*a**2 + 2/225*a**5. Find u, given that p(u) = 0.
-1/4, 1
Factor -10/9*t**2 - 82/9*t + 2/9*t**3 + 10.
2*(t - 9)*(t - 1)*(t + 5)/9
Find o such that 13778/9 + 332/9*o + 2/9*o**2 = 0.
-83
Let h be (-618)/(-352) - (-297)/4752. Factor 0 + h*v - 2/11*v**2.
-2*v*(v - 10)/11
Let f(z) be the first derivative of -12*z**3 - 134*z**2 - 232*z - 3338. Factor f(x).
-4*(x + 1)*(9*x + 58)
Let a(h) be the third derivative of h**5/20 - 1901*h**4/4 + 3613801*h**3/2 - 3527*h**2. Solve a(d) = 0.
1901
Let d(b) = -23*b**2 + 70*b - 108. Let a(n) = 7*n**2 - 23*n + 36. Suppose -3*p - 5 = y + 8, 0 = -2*y - 4*p - 22. Let h(q) = y*a(q) - 2*d(q). Factor h(v).
-3*(v - 4)*(v - 3)
Let o(m) be the second derivative of 4*m - 1/6*m**3 - 1/36*m**4 + 0*m**2 + 3. Find l such that o(l) = 0.
-3, 0
Factor -2/11*k**4 - 2/11*k**2 + 0*k + 0 + 4/11*k**3.
-2*k**2*(k - 1)**2/11
Let j(n) be the first derivative of 1/25*n**5 + 7/15*n**3 + 1/4*n**4 - 49 + 3/10*n**2 + 0*n. Factor j(u).
u*(u + 1)**2*(u + 3)/5
Let j be (-23)/(-5) - (18/30 + 0). Solve 2*b**2 - 2*b**4 + 0*b**2 + 7*b**3 - 3*b**3 - j*b + 0*b**3 = 0.
-1, 0, 1, 2
Let r be 30/(5 - 0) + 18. Solve -63*z + 4*z**4 - r*z**3 + 32*z**2 + 63*z = 0.
0, 2, 4
Factor -360/7*w + 9*w**2 - 3/7*w**3 + 300/7.
-3*(w - 10)**2*(w - 1)/7
Let x(d) be the second derivative of -d**7/63 - 2*d**6/45 + 22*d**5/15 - 19*d**4/9 - 43*d**3/9 + 40*d**2/3 + 2436*d. Let x(z) = 0. What is z?
-8, -1, 1, 5
Suppose 70 + 77 = 166*a - 351. Factor 3/2*t**3 - 3/2*t - a*t**2 + 3.
3*(t - 2)*(t - 1)*(t + 1)/2
Suppose -28 = -76*u + 62*u. Let n be 45/6*2/3. Factor -n*s**2 + 0 + 3 + 0*s**2 + 2*s**u.
-3*(s - 1)*(s + 1)
Let p(j) = -3*j**4 - 177*j**3 - 513*j**2 + 7*j - 7. Let f(c) = 2*c**4 + 88*c**3 + 257*c**2 - 3*c + 3. Let x(s) = 7*f(s) + 3*p(s). Factor x(l).
5*l**2*(l + 4)*(l + 13)
Let d(l) = -12*l**2 - 16*l - 4. Let b(w) = w**3 + 12*w**2 + 15*w + 4. Let n = 120 + -95. Let p be (n/(-10) - -5)*6/5. Let q(j) = p*d(j) + 4*b(j). Factor q(r).
4*(r + 1)**3
Let l(s) = 27*s**2 + 109*s + 494. Let p(o) = -8*o**2 - 38*o - 164. Let x(j) = 4*l(j) + 14*p(j). Determine h, given that x(h) = 0.
-20, -4
Let l(r) be the second derivative of -1/13*r**3 + 1/273*r**7 + 0*r**6 - 45 - 3/65*r**5 - r + 4/39*r**4 + 0*r**2. Let l(d) = 0. What is d?
-3, 0, 1
Let r(o) be the first derivative of 5/2*o**4 - 27/2*o**2 - 6*o**3 + 27*o + 1/6*o**6 + 7/5*o**5 + 81. Find j, given that r(j) = 0.
-3, 1
Let a = 6 - 3. Suppose -2*b - 20 = -6*b - n, -4*b + 20 = a*n. Let 4*j**3 - 19*j**b + 33*j**5 + 8*j**4 - 18*j**5 - 8*j**2 = 0. Calculate j.
-1, 0, 1, 2
Factor 4*z**2 + 48 + 27*z**2 + 48*z + 132 - 28*z**2.
3*(z + 6)*(z + 10)
Let t(a) = -a**3 - 2*a**2 + a + 2. Let j(l) be the first derivative of 3*l**4/4 + 5*l**3/3 - 3*l**2/2 - 5*l + 117. Let h(r) = 4*j(r) + 11*t(r). Factor h(n).
(n - 2)*(n - 1)*(n + 1)
Let q be (-4)/(-2) - (-1)/(1/(-5)). Let v(o) = o**3 - 29*o**2 + 83*o - 61. Let b(r) = 28*r**2 - 84*r + 60. Let u(m) = q*b(m) - 4*v(m). Let u(d) = 0. What is d?
2, 4
Let o = -711 - -760. Suppose 57*t = o*t. Find c, given that t*c - 3/5 + 3/5*c**2 = 0.
-1, 1
Suppose -418*n + 396*n = -44. Factor -27/2*f**n + 51/2*f - 25/2 + 1/2*f**3.
(f - 25)*(f - 1)**2/2
Let s be (-11 + (-533)/(-52))*-4. Let g(i) be the first derivative of 1/15*i**s - 13 + 0*i**2 - 4/5*i. Factor g(u).
(u - 2)*(u + 2)/5
Let v(w) be the second derivative of w**5/10 - 4*w**4/3 - 51*w**3 - 14*w - 5. Factor v(z).
2*z*(z - 17)*(z + 9)
Let x(g) = -2*g**3 - g**2 - 549*g - 548. Let r be x(-1). Factor 2/13*n**3 - 14/13*n**r + 22/13*n - 10/13.
2*(n - 5)*(n - 1)**2/13
Let k(x) be the third derivative of -x**8/336 - 5*x**7/168 - 9*x**6/80 - 11*x**5/60 - x**4/12 + 23*x**2. Determine i so that k(i) = 0.
-2, -1/4, 0
Let r be 6/100*150/540. Let b(q) be the third derivative of 0*q + 1/6*q**3 - r*q**5 + 1/120*q**6 - 7*q**2 + 0 - 1/24*q**4. Factor b(h).
(h - 1)**2*(h + 1)
Let s(y) be the first derivative of 81/10*y**5 + 0*y + 27/8*y**6 + 13/2*y**3 - 179 - 9/8*y**2 - 27/2*y**4. Solve s(k) = 0.
-3, 0, 1/3
Let n(k) be the third derivative of -17*k**6/30 + 91*k**5/5 - 271*k**4/6 + 10*k**3 + 3*k**2 - 14*k + 1. What is l in n(l) = 0?
1/17, 1, 15
Let a(x) be the second derivative of -3*x**5/140 - 41*x**4/14 - 1681*x**3/14 - 3798*x. Factor a(b).
-3*b*(b + 41)**2/7
Let f = 425787 - 425783. Factor -v**2 + 0*v + 1/4*v**5 - v**3 + 1/4*v**f + 0.
v**2*(v - 2)*(v + 1)*(v + 2)/4
Let f be -1 - (36 - 2585/33). Factor -f*c + 89/3*c**2 + 7/3*c**3 + 28/3.
(c - 1)*(c + 14)*(7*c - 2)/3
Let t be 1/(9/27135*9). Let l = 1676/5 - t. Determine b, given that -l*b**3 + 4/5*b + 8/5 - 2/5*b**2 = 0.
-2, 2
Let n be 33/9 - 3/(27/6). Factor j**2 + 174*j**3 + 170*j**n + 2*j - 345*j**3.
-j*(j - 2)*(j + 1)
Suppose 5*j = 4*q + 38, j + 1225 - 1199 = -4*q. Determine d, given that -6*d**j + 6/11*d**4 + 0 + 24/11*d**3 + 36/11*d = 0.
-6, 0, 1
Let p(z) be the first derivative of -z**6/6 + 184*z**5/5 - 89*z**4/2 - 304*z**3 - 549*z**2/2 + 4174. Determine v so that p(v) = 0.
-1, 0, 3, 183
Let u = 2356123/1570746 - 2/785373. Factor u - 143/4*z + 47/4*z**2.
(z - 3)*(47*z - 2)/4
Let s(i) be the third derivative of -i**7/3780 + i**6/405 - i**5/108 + i**4/54 + 37*i**3/3 - 77*i**2. Let q(m) be the first derivative of s(m). Factor q(o).
-2*(o - 2)*(o - 1)**2/9
Determine r, given that -53*r**2 + 372*r + 352 + 141*r**2 - 68*r**2 = 0.
-88/5, -1
Let x(b) = b**3 - 7*b**2 - 8*b + 5. Let v be x(8). Suppose v = -p + 70. Solve -p + 10*g + 69 + 5*g**2 + g**2 = 0.
-1, -2/3
Let g(z) = -5*z**4 + 203*z**3 + 217*z**2 - 1011*z + 668. Let i(d) = -2*d**3 + 2*d**2 - d - 17. Let u(h) = -g(h) - 4*i(h). Suppose u(y) = 0. Calculate y.
-3, 1, 40
Let s(x) be the second derivative of 0*x**2 + 1/120*x**6 - 1/6*x**3 + 0 + 61*x + 1/6*x**4 - 1/16*x**5. Factor s(c).
c*(c - 2)**2*(c - 1)/4
Let a(c) be the second derivative of c**4/54 - 22*c**3/27 + 121*c**2/9 + 1124*c. Find p such that a(p) = 0.
11
Factor -3*q**3 + 989 - 141*q**2 - 105*q**2 + 689 - 2710 + 1020*q.
-3*(q - 2)**2*(q + 86)
Let i(a) be the second derivative of a**4/8 - 11*a**3/2 - 306*a**2 - 795*a. Find n such that i(n) = 0.
-12, 34
Let s(z) = -1104*z + 380880. Let u be s(345). Factor 11/3*h + 4/3*h**4 + 49/3*h**3 + u + 56/3*h**2.
h*(h + 1)*(h + 11)*(4*h + 1)/3
Let t(r) = -1279*r + 35814. Let v be t(28). Determine x so that -15*x + 1/4*x**4 - 5/2*x**3 + 37/4*x**v + 9 = 0.
2, 3
Let d(q) be the second derivative of 5/9*q**2 + 1 - 3*q - 1/54*q**4 - 4/27*q**3. Determine b, given that d(b) = 0.
-5, 1
Let c(l) be the second derivative of 0*l**2 - 1/15*l**4 - 81*l + 0 + 1/50*l**5 - 8/15*l**3. Suppose c(t) = 0. What is t?
-2, 0, 4
Let h(r) = 29*r**2 + 309*r + 262. Let i(q) = -7*q**2 - 77*q - 66. Let j(c) = -2*h(c) - 9*i(c). Suppose j(n) = 0. Calculate n.
-14, -1
Let c(x) be the second derivative of -x**9/7560 - x**8/4200 + x**7/1050 + 14*x**3/3 + 23*x. Let n(q) be the second derivative of c(q). Factor n(u).
-2*u**3*(u - 1)*(u + 2)/5
Let i(o) be the second derivative of -3*o**5/20 - 6*o**4 + 25*o**3/2 + 1091*o. Find x such that i(x) = 0.
-25, 0, 1
Find h such that -692*h**2 - 1397*h + 646*h - 134*h**3 + 691*h - 90*h**3 = 0.
-3, -5/56, 0
Find u such that -165/4*u + 75 + 57/8*u**2 - 3/8*u**3 = 0.
4, 5, 10
Suppose -64 = -5*w + 1. Let l be (-6)/15 - (-22)/5. Let l*k**3 + 73*k - 15*k**2 - w*k - 36 - 13*k**2 = 0. What is k?
1, 3
Let c = 3959/5 - 23749/30. Let a = -317/6 + 53. Factor -c*q + 1/6*q**2 + a*q**3 - 1/6.
(q - 1)*(q + 1)**2/6
Factor 40*i + 92/3*i**2 + 50/3 + 2/3*i**4 + 8*i**3.
2*(i + 1)**2*(i + 5)**2/3
Let w(z) = 6*z**5 + 26*z**4 + 24*z**3 - 31*z**2 - 20*z + 5. Let k(y) = -y**5 - y**4 - y**3 + 2*y**2 - 1. Let r(n) = -15*k(n) - 3*w(n). 