85*l - 43294. Let k be s(-32). Factor 5/3*a + 1/3*a**k - 14/3.
(a - 2)*(a + 7)/3
Let s be ((6 + (-558)/90)*1)/((-4)/10). Factor s*d**2 + 0 + 1/6*d**5 + 1/6*d**3 - 1/2*d**4 - 1/3*d.
d*(d - 2)*(d - 1)**2*(d + 1)/6
Let a be (-5)/1*260/(-325). Suppose -155*j = -153*j - a. Find u, given that 0*u - 3/4*u**5 + 3/4*u**3 + 3/4*u**4 + 0 - 3/4*u**j = 0.
-1, 0, 1
Let u(r) = -r**3 + 674*r**2 + 9634*r + 43. Let l be u(-14). Determine n, given that 0 + 5/3*n**3 + 0*n + l*n**2 = 0.
-9, 0
Let a(k) = 2*k**2 - 556*k + 470. Let m(p) = p**2 - 206*p + 157. Let w(d) = -4*a(d) + 11*m(d). Solve w(t) = 0.
-3, 17
Let v(g) be the first derivative of -1 - 2/3*g**3 + 13*g + 0*g**2 - 1/6*g**4 + 1/5*g**6 + 2/5*g**5. Let j(p) be the first derivative of v(p). Factor j(t).
2*t*(t + 1)**2*(3*t - 2)
Factor -17914*n**2 + 17971*n**2 + 2*n**3 + 260*n - n**3.
n*(n + 5)*(n + 52)
Suppose 7 = -16*n + 23. Let r(f) = -3*f**4 - 3*f**3 + 3*f**2 - 3*f. Let s(p) = -p**2 + p. Let q(h) = n*r(h) + 3*s(h). Solve q(x) = 0 for x.
-1, 0
Let n(h) be the third derivative of h**6/30 + 262*h**5/15 + 17161*h**4/6 + 92*h**2 - 27*h. Factor n(f).
4*f*(f + 131)**2
Let d(b) = b**3 + 13*b**2 + 22*b + 2. Suppose z + 3*i = -26, z - 21 = 2*z + 2*i. Let o be d(z). Factor 10*s - 5*s**o - 4 + 36*s**3 - 3*s**2 - 34*s**3.
2*(s - 2)*(s - 1)**2
Let x(j) be the third derivative of -j**8/840 + j**6/60 - j**5/30 - 23*j**3/2 - 6*j**2 + 3. Let o(h) be the first derivative of x(h). Find l such that o(l) = 0.
-2, 0, 1
Let a(q) = -30*q - 11. Let i be a(-3). Let m = -76 + i. Let 4*x + 6*x - 16*x**3 + 2*x**5 + m*x**2 + 4*x**3 + 5*x**2 - 8*x**4 = 0. What is x?
-1, 0, 1, 5
Let c(p) be the first derivative of p**5/45 - 29*p**4/36 - 85*p**3/9 + 14161*p**2/18 - 108086*p/9 - 4076. Find d such that c(d) = 0.
-22, 17
Let k(p) be the first derivative of p**6/18 + p**5/5 - 3*p**4/4 - 23*p**3/9 - 2*p**2 + 1118. Factor k(u).
u*(u - 3)*(u + 1)**2*(u + 4)/3
Let 1499*t**2 - 501*t**2 - 499*t**2 - 2*t**3 - 495*t**2 = 0. Calculate t.
0, 2
Let u be 6 - 1*(-2 - -5). Suppose -40*j**2 + 17*j - 10*j**3 + 5*j**u - 14*j + 37*j + 5*j**2 = 0. Calculate j.
-8, 0, 1
Find u, given that -153/4*u + 3/4*u**2 + 231 = 0.
7, 44
Let m be (-22)/(-12) - (((-34)/16)/(-17))/((-69)/92). Factor 3344*v**3 + 1376*v**m + 2420*v**4 + 224*v + 2662/5*v**5 + 64/5.
2*(v + 2)**2*(11*v + 2)**3/5
Let q(l) = 391*l. Let i be q(-1). Let v = -779/2 - i. Factor -v*r**2 - 15*r - 75/2.
-3*(r + 5)**2/2
Let u = -209 + 1105. What is y in 0 + 4 - 901*y + u*y + y**2 = 0?
1, 4
Let r(x) be the second derivative of -3*x**5/80 - 5*x**4/16 + 59*x**3/4 - 42*x**2 - 1112*x. Factor r(p).
-3*(p - 8)*(p - 1)*(p + 14)/4
Let t(h) be the first derivative of h**4/14 - h**2 + 12*h/7 + 1019. Let t(p) = 0. Calculate p.
-3, 1, 2
Let d(w) = -w**2 - 374*w - 744. Let j be d(-2). Let p(v) be the first derivative of -2/57*v**3 - 1/38*v**4 - 21 + 2/19*v**2 + j*v. Factor p(z).
-2*z*(z - 1)*(z + 2)/19
Suppose 0 = 5*y + 25, -2*a + 1 = -3*a - y. Factor 4 - 115*z**a - 114*z**4 - 14*z**2 - 6*z + 239*z**4 + 6*z**3.
2*(z - 1)*(z + 1)**2*(5*z - 2)
Factor 69/5 - 3/5*m**2 - 66/5*m.
-3*(m - 1)*(m + 23)/5
Suppose -z + 2*z = -2*k + 5, -5*z - 5*k + 25 = 0. Suppose -3*d + z*d - 4 = 0. Factor -12 + 14 - d + c**2 - c.
c*(c - 1)
Let p(i) be the third derivative of 0*i - 4*i**3 - 1/140*i**7 - 3/2*i**4 - 1/40*i**5 + 0 + 3/40*i**6 - 102*i**2. Suppose p(n) = 0. Calculate n.
-1, 4
Let c(u) = -12*u**3 - 18*u**2 + 11*u + 11. Let l(v) = 6*v**3 + 10*v**2 - 6*v - 6. Let h be 234/(-104)*(-8)/3. Let g(s) = h*c(s) + 11*l(s). Factor g(i).
-2*i**2*(3*i - 1)
Let w(f) be the first derivative of -f**5/15 - 3*f**4/2 + 19*f**3/9 - 4791. Factor w(g).
-g**2*(g - 1)*(g + 19)/3
Let j(q) be the first derivative of 160/3*q**3 - 7/3*q**6 + 0*q - 58 - 48*q**4 + 88/5*q**5 - 16*q**2. Factor j(m).
-2*m*(m - 2)**3*(7*m - 2)
Let d(g) be the first derivative of g**3/6 - 247*g**2 + 122018*g - 194. Suppose d(i) = 0. What is i?
494
Factor 114/7*q + 0 + 10*q**2 + 2/7*q**4 - 6*q**3.
2*q*(q - 19)*(q - 3)*(q + 1)/7
Let g = -79 - -98. Suppose j - 2 = -0. Let -23*n - g*n - 10*n - 2*n**3 + 20*n**j + 2*n = 0. Calculate n.
0, 5
Let o(k) = -61 + k**3 + k**2 - k + 32 + 32. Let z(x) = 4*x**2 + 24*x + 36. Let y(g) = 4*o(g) - z(g). Factor y(u).
4*(u - 3)*(u + 1)*(u + 2)
What is k in 51/2*k**2 + 27/2*k**3 - 27/2*k - 27 + 3/2*k**4 = 0?
-6, -3, -1, 1
Let f be 192/224 - ((-384)/(-126))/8*3/2. Solve -8/7 + 10/7*a - f*a**2 = 0.
1, 4
Let w = -10975 - -10980. Let x(j) be the second derivative of 0*j**4 - 3*j + 5/2*j**3 + 0 + 5*j**2 - 1/4*j**w. Find t, given that x(t) = 0.
-1, 2
Suppose 3/8*d**2 + 57/4*d - 63 = 0. What is d?
-42, 4
Let d(y) be the second derivative of 2*y**7/21 + 8*y**6/15 + 4*y**5/5 - 2*y**4/3 - 10*y**3/3 - 4*y**2 - 2*y - 100. Factor d(c).
4*(c - 1)*(c + 1)**3*(c + 2)
Let 722*i - 35292 + 2*i**3 + 76*i**2 + 35292 = 0. What is i?
-19, 0
Let y(l) = l**4 + 3*l**3 - 10*l**2 + 10*l. Let j(w) = 6*w**4 + 18*w**3 - 60*w**2 + 62*w. Let s(r) = 15*j(r) - 93*y(r). Factor s(t).
-3*t**2*(t - 2)*(t + 5)
Let p = 39 + -55. Let w be (2 + -14)*(p + 0). Factor -36*d**2 - d**3 - w - 6*d**3 + 144*d + 10*d**3.
3*(d - 4)**3
Suppose 162 - 146 = 8*a. Let y(k) = -2*k**3 + k**2 - 7*k - 10. Let v(q) = -q**3 + 2*q**2 - 7*q - 10. Let h(c) = a*y(c) - 3*v(c). Factor h(x).
-(x - 2)*(x + 1)*(x + 5)
Let b = 144381 + -433103/3. Factor 5/3*o**4 + b*o**3 - 55/3 - 50*o**2 + 160/3*o.
5*(o - 1)**3*(o + 11)/3
Let g = 71087 - 71085. Suppose -5/9*x**g + 2/3 - 1/9*x**4 - 7/9*x + 7/9*x**3 = 0. Calculate x.
-1, 1, 6
Let w(h) be the first derivative of -50*h**4/3 - 8240*h**3/9 - 821*h**2/3 - 82*h/3 - 1814. Factor w(q).
-2*(q + 41)*(10*q + 1)**2/3
Let d(x) be the first derivative of -3*x**4/22 + 24*x**3/11 - 135*x**2/11 + 324*x/11 - 1692. Factor d(m).
-6*(m - 6)*(m - 3)**2/11
Let b(j) = -892*j + 8922. Let p be b(10). Factor -15/2*t**p + 72 + 3/2*t**3 - 12*t.
3*(t - 4)**2*(t + 3)/2
Let j(q) be the third derivative of -q**8/336 + 17*q**7/210 - 19*q**6/24 + 35*q**5/12 - 599*q**2 + 3*q. Let j(h) = 0. Calculate h.
0, 5, 7
Suppose -41*w**2 + 759*w**3 + 3*w**5 - 1558*w**3 - 39*w**4 + 718*w**3 - 2*w**5 = 0. Calculate w.
-1, 0, 41
Let l(o) be the third derivative of 1/1008*o**8 + 0*o**3 + 0*o**4 + 13/105*o**7 + 0*o + 0*o**5 + 169/40*o**6 + 2*o**2 - 5. Find n, given that l(n) = 0.
-39, 0
Let k be (-503 - -490 - (-2)/(2/7)) + 9. Let q(z) be the second derivative of -1/3*z**4 - 8*z**2 + 4*z - 8/3*z**k + 0. Suppose q(u) = 0. Calculate u.
-2
Let u = 8 - 5. Suppose 15*i = -i + 1280. Factor 16*r + 10*r**3 - 54*r**u + i*r**2 + 28 - 28.
-4*r*(r - 2)*(11*r + 2)
Let n(f) be the first derivative of f**5/10 + 15*f**4/2 + 85*f**3/3 - 15*f**2 - 171*f/2 + 1969. Solve n(z) = 0 for z.
-57, -3, -1, 1
Let v be 12/(-21) + 17*80/1904. Solve -6/7 + 1/7*t + v*t**3 + 4/7*t**2 = 0.
-3, -2, 1
Let t(p) be the second derivative of -p**5/50 - 13*p**4/30 + 46*p**3/15 - 32*p**2/5 - 1149*p. Factor t(b).
-2*(b - 2)*(b - 1)*(b + 16)/5
Let w be ((-36)/20)/(6/(-10)). Suppose w*y = -c + 7, -4*c = -2*c - 2. Factor -1 - 3*i + 4 + 1 - i**y.
-(i - 1)*(i + 4)
Let c(f) = -20*f - 4. Let i(u) = -u + 5. Let t be i(11). Let g = t - -2. Let k(m) = -m**2 + m - 1. Let d(l) = g*k(l) + c(l). Factor d(y).
4*y*(y - 6)
Factor 144*g + 0*g**2 - 532 - 968 - 44 - 3*g**2 + 8.
-3*(g - 32)*(g - 16)
Let r be (4470/(-240635))/((-6)/5032). Determine k so that r*k + 2/19*k**2 + 10952/19 = 0.
-74
Let p(w) be the first derivative of w**5/25 + 41*w**4/10 - w**3/15 - 41*w**2/5 + 1207. Factor p(j).
j*(j - 1)*(j + 1)*(j + 82)/5
Let a(b) be the second derivative of 2/21*b**7 + 0*b**2 + 2*b + 0*b**3 + 0*b**4 - 1/5*b**5 + 16 + 0*b**6. Find g such that a(g) = 0.
-1, 0, 1
Let c(o) be the third derivative of -29*o**5/210 + 27*o**4/14 + 24*o**3/7 + 14*o**2 + 4*o - 6. Suppose c(b) = 0. Calculate b.
-12/29, 6
Let s(x) be the third derivative of x**6/480 - 5*x**5/24 + 77*x**4/32 - 45*x**3/4 + 2172*x**2. Factor s(k).
(k - 45)*(k - 3)*(k - 2)/4
Let x(n) be the third derivative of n**5/40 + 45*n**4/16 + 11*n**3 + 27*n**2 + 10. Factor x(y).
3*(y + 1)*(y + 44)/2
Solve 2738/11 + 1593/11*k**2 + 7*k**3 + 1/11*k**4 + 4255/11*k = 0.
-37, -2, -1
Let v(o) be the second derivative of 9/7*o**2 + 0 - 25/42*o**3 + 205*o + 1/12*o**4. Factor v(k).
(k - 1)*(7*k - 18)/7
What is d in 1/10*d**4 - 77/2 - 576/5*d**2 - 191/5*d**3 - 577/5*