tive of -1/4*r**4 - 39/2*r**2 - 7*r**3 - 9*r + 0. Let a(f) = 0. Calculate f.
-13, -1
Solve -2*z**2 - 28494*z**3 + 2*z**2 - 28490*z**3 + 56979*z**3 = 0.
0
Suppose -9*m + 143 - 8 = 0. Solve 4389*p**2 - m*p**5 - 135*p**3 - 4354*p**2 + 28*p + 85*p**4 + 10*p - 8*p = 0 for p.
-1/3, 0, 1, 2, 3
Let b be -17 + 32/(-96)*(-48 + -5). Suppose -72*w**3 + 0 + 0*w - b*w**5 - 144*w**2 - 12*w**4 = 0. Calculate w.
-6, 0
Suppose 0 = -j - 2*r - 2, 4*j + 0*r + 3*r = 17. Let t be (-4)/28 + j/(504/93). Let t*i + 0 + 2*i**2 = 0. What is i?
-2/3, 0
Let p(k) be the third derivative of 1/280*k**6 - 3/7*k**3 - 3/70*k**5 - 2*k**2 - 23*k + 0 + 11/56*k**4. Factor p(d).
3*(d - 3)*(d - 2)*(d - 1)/7
Suppose 1899*h - 7985 = -2288. Factor -s**2 + s**4 + 5/4*s + 1/4*s**5 + 0 - 3/2*s**h.
s*(s - 1)**2*(s + 1)*(s + 5)/4
Let d(q) be the first derivative of -3/20*q**4 - 9/10*q**2 + 3 - 6*q + 6/5*q**3. What is f in d(f) = 0?
-1, 2, 5
Let l(s) = s**3 + s**2 + 5*s - 1. Let n be l(4). Let a be 18/n + 3562/11. Factor -5 - 198*q**2 - 11 + 160*q + a*q**3 - 270*q**2.
4*(q - 1)*(9*q - 2)**2
Let q(m) be the third derivative of m**7/840 + 239*m**6/480 + 6399*m**5/80 + 530485*m**4/96 + 493039*m**3/12 - 3424*m**2. Find n such that q(n) = 0.
-79, -2
Let a(v) = 9*v**2 - 236*v + 1991. Let j = 723 - 706. Let t(c) = 3*c**2 - 78*c + 663. Let s(p) = j*t(p) - 6*a(p). Factor s(m).
-3*(m - 15)**2
Suppose -o - 2*s = 2*o - 15, 0 = o + 5*s - 18. Suppose 12*d**3 + 216*d - 150 + 219*d - 156*d**2 - 5*d**o + 8*d**3 = 0. Calculate d.
2/5, 5
Suppose -3*h = -190 + 181. Suppose -5*g + 5*t = 25, 4*g = -3*t + h + 12. Factor g + 7/4*s**2 - 1/2*s - 9/4*s**3 + 5/4*s**4 - 1/4*s**5.
-s*(s - 2)*(s - 1)**3/4
Let u be 1100/30 + ((-20)/6)/5. Factor 6*k - 18*k + 6*k + u*k**2 + 9*k**2.
3*k*(15*k - 2)
Find z such that 16*z - 384 + 1/4*z**3 + 13/2*z**2 = 0.
-16, 6
Let a(z) be the second derivative of z**5/70 + 15*z**4/28 - 16*z**3/7 - 60*z**2 - 93*z. Let v(r) be the first derivative of a(r). Factor v(m).
6*(m - 1)*(m + 16)/7
Let w(y) = 9*y**2 + 654*y + 757. Let h(k) = -3*k**2 - 213*k - 252. Let l(t) = -8*h(t) - 3*w(t). Factor l(f).
-3*(f + 1)*(f + 85)
Let a(h) be the second derivative of -h**7/630 + h**6/120 + h**5/20 - 3*h**4/8 - 49*h**2/2 - 6*h. Let j(b) be the first derivative of a(b). Factor j(l).
-l*(l - 3)**2*(l + 3)/3
Let a(f) be the third derivative of -f**5/12 - 55*f**4/8 + 85*f**3/3 + 511*f**2 - 1. Factor a(c).
-5*(c - 1)*(c + 34)
Let j(p) be the first derivative of p**3/6 - 71*p**2/2 - 143*p/2 - 1709. Factor j(h).
(h - 143)*(h + 1)/2
Let i(h) = 24*h + 170. Let k be i(-7). Factor -5*f**3 - 60*f**k - 135 + 5*f**4 + 140*f + 131 - 76.
5*(f - 2)**2*(f - 1)*(f + 4)
Let u = -76/53 - -205/106. Let 0 + u*l**3 + 5*l**2 + 0*l = 0. What is l?
-10, 0
Suppose 17*o + 20 = 22 - 2. Let q(k) be the third derivative of 0*k**3 + o*k + 28*k**2 - 1/90*k**5 - 1/9*k**4 + 0 + 1/360*k**6. Factor q(v).
v*(v - 4)*(v + 2)/3
Let s(h) = 2*h**3 + 40*h**2 - 77*h - 733. Let j be s(-21). Factor -2/5*c**3 + 36/5 - 16/5*c**j - 18/5*c.
-2*(c - 1)*(c + 3)*(c + 6)/5
Suppose o + 28 = 6*v, -23*o + 18*o + 35 = 5*v. Factor 5/3*p**3 + 4/3*p**4 + 0 - p - 2/3*p**o.
p*(p + 1)**2*(4*p - 3)/3
Suppose 15*w - 13*w = -112. Let a be (((-120)/w)/5)/(-1 + 2). Factor 10/7*z**2 + 3/7*z**3 + a*z + 0.
z*(z + 3)*(3*z + 1)/7
Let -50/11*n**2 + 248/11*n + 192/11 - 2/11*n**5 + 26/11*n**4 - 78/11*n**3 = 0. What is n?
-1, 3, 4, 8
Let u be ((-3080)/(-66))/(-5)*7*3. Let w be (-1)/3*98/u. Find s, given that w*s - 1/3*s**2 + 1/3 - 1/6*s**3 = 0.
-2, -1, 1
Let r(h) be the first derivative of -204 + 40/9*h**3 - 16/3*h - 9*h**2. Find o such that r(o) = 0.
-1/4, 8/5
Let w(f) be the third derivative of 9/70*f**5 + 2/7*f**4 - 21 + 1/35*f**6 + 5/14*f**3 + 0*f + 2*f**2 + 1/490*f**7. Solve w(d) = 0 for d.
-5, -1
Let k(d) be the second derivative of -722*d**6/135 - 988*d**5/15 - 3139*d**4/27 - 376*d**3/9 - 56*d**2/9 - 3972*d. What is s in k(s) = 0?
-7, -1, -2/19
Let y(q) be the third derivative of q**6/24 + 47*q**5/12 + 455*q**4/24 + 75*q**3/2 - 55*q**2 + 7. Factor y(x).
5*(x + 1)**2*(x + 45)
Let g = -18329 - -18360. Let l(f) be the first derivative of -15/2*f**2 - 1/4*f**4 - 25*f - g + 3*f**3. Let l(c) = 0. Calculate c.
-1, 5
Let k = -454 + 436. Let r be (k/7)/6 - (-74)/42. Suppose 2/3*j**2 - 2 - r*j = 0. What is j?
-1, 3
Let s(a) be the second derivative of -a**4/84 + 929*a**3/42 - a - 2539. Factor s(r).
-r*(r - 929)/7
Let k(h) be the second derivative of h**6/15 + 213*h**5/5 + 15123*h**4/2 - 4642*h. Find b, given that k(b) = 0.
-213, 0
Factor 1/8*t**5 + 7/8*t + 1/4*t**2 + 1/4*t**4 - 1/2 - t**3.
(t - 1)**3*(t + 1)*(t + 4)/8
Let b be -14*(-64)/1792 + 14/2. Let d = 3 + -1. Factor -b*x + 75/4 + 3/4*x**d.
3*(x - 5)**2/4
Suppose 25 = 15*f - 35. Factor 55*w**3 + 6*w**4 - 3*w**4 - 33*w**3 - w**f.
2*w**3*(w + 11)
Let t be 19/(2128/240)*(-3)/(-15). Solve 3*v**3 - 9/7*v + t*v**4 + 39/7*v**2 - 54/7 = 0.
-3, -2, 1
Solve 0*v + 0 + 36*v**3 - 3/4*v**4 - 141/4*v**2 = 0.
0, 1, 47
Let n(a) be the third derivative of a**6/40 - 7*a**5 + 69*a**4/2 - 3025*a**2. Find t such that n(t) = 0.
0, 2, 138
Suppose 577 = 10*c - 43. Let w = c - 62. Factor 4/7*q**4 - 2/7*q + 2/7*q**5 + w + 0*q**3 - 4/7*q**2.
2*q*(q - 1)*(q + 1)**3/7
Let q = -619/10 - -1463/20. Suppose 3/2*w**4 - 3*w**2 - q*w + 45/2*w**3 - 45/4*w**5 + 3/2 = 0. What is w?
-1, 2/15, 1
Let a be -1*(-9)/24 + 14732/4064. Let l = 1 - -1. Let -12/5*u**3 + 0 - 4/5*u + 12/5*u**l + 4/5*u**a = 0. What is u?
0, 1
Let t(k) be the second derivative of -k**4/21 + 858*k**3/7 - 2572*k**2/7 - 633*k. Factor t(c).
-4*(c - 1286)*(c - 1)/7
Let f(g) be the first derivative of 2*g**5/5 - g**4 - 2*g**3 + 4*g**2 + 8*g + 939. Solve f(j) = 0.
-1, 2
Suppose 0 = 25*k - 6*k - 190. Factor 54*d + k*d**3 + 20 - 15*d**2 + 5*d**4 - 34*d - 40*d.
5*(d - 1)**2*(d + 2)**2
Let i(v) = -96*v - 3548. Let a be i(-37). Let l(q) be the first derivative of 25 + 128/5*q**2 + 1/5*q**a + 0*q - 64/15*q**3. Factor l(m).
4*m*(m - 8)**2/5
Suppose 24*q + 468 = 33*q + 180. Let x(m) be the third derivative of q*m**2 + 0 + 1/45*m**5 + 0*m - 1/3*m**4 + 10/9*m**3. Find w, given that x(w) = 0.
1, 5
Let u = -716 + 169. Let y = 2744/5 + u. Determine g, given that y*g**2 + 3/5*g - 12/5*g**3 + 0 = 0.
-1/4, 0, 1
Let a be (2/((-12)/3))/((-2)/12). Let h(k) = -45*k**2 + 3. Let b(l) = l**3 - 45*l**2 + 4. Let s(z) = a*b(z) - 4*h(z). Find p such that s(p) = 0.
-15, 0
Let r = 3392 - 3389. Let o(a) be the second derivative of 9/2*a**4 - 12*a**2 - 6*a**r - 20*a - 3/4*a**5 + 0. Factor o(c).
-3*(c - 2)**2*(5*c + 2)
Suppose 0 = 168*y - 271*y. Solve -35/9*n**3 + y - 4/3*n**4 + 4*n + 4/3*n**2 - 1/9*n**5 = 0.
-6, -1, 0, 1
Let b be ((-14)/((-6)/(-3)))/(-2 - -1). Let o(w) = -w**3 + 8*w**2 - 5*w - 6. Let u be o(b). Factor 15 + 5*q**2 - 3*q - 9*q - u*q.
5*(q - 3)*(q - 1)
Let i(p) = -4*p**2 - 28*p - 20. Let y(j) = -5*j**2 - 34*j - 21. Let b(q) = -6*i(q) + 5*y(q). Factor b(l).
-(l - 3)*(l + 5)
Let y(w) be the second derivative of -5*w**7/6 + 30*w**6 + 1109*w**5/4 + 975*w**4/2 + 620*w**3/3 - 12*w - 134. Let y(f) = 0. Calculate f.
-4, -1, -2/7, 0, 31
Let w(o) = -3*o - 17. Let p(l) = 4*l + 18. Let h(g) = -2*p(g) - 3*w(g). Let q be h(3). Factor 16*r**2 + 16 - q*r**2 - 14.
-2*(r - 1)*(r + 1)
Let a(t) = -t**2 - 2*t + 2. Let j be a(-3). Let d(m) = 3*m**2 + 8*m - 6. Suppose 0 = -129*f + 132*f - 15. Let s(z) = z. Let r(v) = f*s(v) + j*d(v). Factor r(g).
-3*(g - 1)*(g + 2)
Suppose 0 = 4*h - 2*f - 142, 5*f + 117 - 26 = 2*h. Let y be 55/h*(-12)/(-10). Suppose 4/3*m**4 + 4/3 - 16/3*m**3 - 16/3*m + 8*m**y = 0. Calculate m.
1
Let l(x) be the third derivative of -x**6/120 - 81*x**5/20 + 163*x**4/8 - 245*x**3/6 - 2*x**2 + 34*x. Factor l(y).
-(y - 1)**2*(y + 245)
Suppose -9*x = -8*x + 5*t + 5, 0 = 4*x - 5*t - 130. Let a(s) be the first derivative of x + 7/12*s**3 + 3/4*s**2 - 1/4*s. Factor a(n).
(n + 1)*(7*n - 1)/4
Suppose -k - c - 2 = 0, -5*k - 12*c + 16*c = -26. Factor 0*j**3 + 10/3 + 17/6*j**k - 1/6*j**4 - 6*j.
-(j - 2)**2*(j - 1)*(j + 5)/6
Find r, given that 115*r + 120*r**2 - 19*r**3 + 117*r**3 - 93*r**3 = 0.
-23, -1, 0
Let m = -5713/71 - -18772/213. Factor -1/6*v**5 - 41/6*v - m*v**3 + 7/3*v**4 + 32/3*v**2 + 5/3.
-(v - 10)*(v - 1)**4/6
Let v(z) = -32*z - 627. Let k be v(-19). Let j(i) = -i**2 - 20*i - 15. Let g be j(k). Factor 4/5*a**g + 0 - 4/5*a**2 + 4/5*a**3 