6*r**4 + 2*r**2 + 0. Let l(k) = 0. Calculate k.
-1, 2
Factor -130/9*g - 112 + 2/9*g**2.
2*(g - 72)*(g + 7)/9
Let r(c) = 901*c + 0*c**2 - 3*c**2 + 7*c**3 + 4*c**2 - 20 + 14*c**2 - 893*c. Let b(d) = 6*d**3 + 14*d**2 + 8*d - 16. Let i(z) = -4*b(z) + 3*r(z). Factor i(s).
-(s + 2)**2*(3*s - 1)
Let z(q) = 186*q - 102. Let v be z(-3). Let n = v - -3302/5. Factor -4/15*m + n - 2/15*m**2.
-2*(m - 1)*(m + 3)/15
Factor 1/10*p**4 + 1/2*p**3 + 0 + 2/5*p + 4/5*p**2.
p*(p + 1)*(p + 2)**2/10
Let m(r) be the first derivative of -r**4/16 + 985*r**3/12 - 30381*r**2 + 60516*r + 7350. Solve m(c) = 0 for c.
1, 492
Suppose -5*j**2 - 219*j - 672 - 167*j + 58*j - 402*j + 6832 = 0. What is j?
-154, 8
Let y(t) = -t**3 + 33*t**2 - 28*t - 99. Let f be y(32). Suppose -f*k = -52*k. Find i, given that -1/5*i**4 + 3/5*i**3 + k + 0*i - 2/5*i**2 = 0.
0, 1, 2
Let u(o) = o**4 - 55*o**3 + 49*o**2 + 223*o + 130. Let k(f) = 3*f**4 - 163*f**3 + 145*f**2 + 670*f + 392. Let q(s) = -4*k(s) + 11*u(s). Factor q(x).
-(x - 46)*(x - 3)*(x + 1)**2
What is c in 56/3*c**2 - 64 - 2/3*c**4 - 10/3*c**3 + 40/3*c = 0?
-8, -2, 2, 3
Factor 0*m - 1/10*m**3 - 119/10*m**2 + 0.
-m**2*(m + 119)/10
Let v(m) be the first derivative of m**5/270 + m**4/36 - 4*m**3/27 - 20*m**2 - 58. Let y(h) be the second derivative of v(h). Factor y(b).
2*(b - 1)*(b + 4)/9
Let k(c) = -1. Suppose -5*z + 3 = -b, 13*z - 11*z - 5*b = -8. Let m(g) = -3*g**2 - 15*g - 7. Let f(n) = z*m(n) + 5*k(n). Factor f(y).
-3*(y + 1)*(y + 4)
Let m = -1/14478 - -57919/101346. Factor -m + 2*w + 18/7*w**2.
2*(w + 1)*(9*w - 2)/7
Let u be ((-9 - -9)*2/4)/2. Suppose u = 545*k - 543*k - 4. Factor -8/3 - 26/3*c**2 - 32/3*c - k*c**3.
-2*(c + 2)**2*(3*c + 1)/3
Let v(t) = t**3 - 4*t**2 - t + 12. Let c be v(0). Suppose 3*j + c = 2*g, 5*j - 5 = -9*g + 4*g. Factor 4/5*s - 1/5*s**4 - 6/5*s**2 - 1/5 + 4/5*s**g.
-(s - 1)**4/5
Let w(x) = -x**4 - x**3 - 1. Let u(f) = 6*f**4 - 96*f**3 + 192*f**2 + 374*f + 78. Let c(g) = -u(g) + 2*w(g). Determine d, given that c(d) = 0.
-1, -1/4, 5, 8
Let d(q) be the second derivative of -q**8/1344 - q**7/126 + 5*q**6/144 + q**4/12 - 59*q**3/6 - 19*q. Let o(f) be the third derivative of d(f). Solve o(n) = 0.
-5, 0, 1
Let w be 5 - (-7 - (2 + 41)). Let g(u) = -80*u**3 + 405*u**2 - 540. Let h(l) = 3*l**3 - 15*l**2 + 20. Let t(j) = w*h(j) + 2*g(j). Factor t(q).
5*(q - 2)**2*(q + 1)
Let x be 7 + (1 + 5)/(-1) + (-1 - -2). Let p(a) be the first derivative of -1/14*a**4 - 4/7*a + 1/7*a**x - 21 + 4/21*a**3. Let p(s) = 0. Calculate s.
-1, 1, 2
Let f(r) be the second derivative of 9*r**6/10 - 2268*r**5/5 - 1515*r**4/2 - 1516*r**3/3 - 337*r**2/2 + r - 335. Find v such that f(v) = 0.
-1/3, 337
Let l(z) be the third derivative of z**8/2016 - z**7/315 - 11*z**6/720 + 11*z**5/60 - z**4/2 - z**2 + 58. Factor l(d).
d*(d - 3)**2*(d - 2)*(d + 4)/6
Factor 57/2*w + 14 + 1/2*w**3 + 15*w**2.
(w + 1)**2*(w + 28)/2
Let z(s) be the third derivative of -7*s**6/180 - 3*s**5/5 + 157*s**4/12 - 130*s**3/9 - 1009*s**2. Solve z(g) = 0.
-13, 2/7, 5
Suppose -74*v = -65*v - 99. Let c be (2/v)/(10 - 78/8). Factor -8/11 - 2/11*y**2 + c*y.
-2*(y - 2)**2/11
Let c(s) = 61*s - 2682. Let a be c(44). Factor -3/8*y**3 + 1/8*y**5 + 0 + 1/8*y**4 - 1/8*y**a + 1/4*y.
y*(y - 1)**2*(y + 1)*(y + 2)/8
Let b(k) be the first derivative of -308*k**3/3 - 158*k**2 - 8*k + 362. Solve b(u) = 0.
-1, -2/77
Let q(j) be the first derivative of 2/9*j**2 - 1/27*j**3 + 1/90*j**5 + 3 - 1/27*j**4 - 16*j. Let x(b) be the first derivative of q(b). What is a in x(a) = 0?
-1, 1, 2
Suppose k - 5*h - 24 = 0, 0 = 4*k - 7*k - 3*h. Let z(s) be the first derivative of k + 0*s - 2*s**2 + 1/2*s**4 - 2/3*s**3. Solve z(w) = 0.
-1, 0, 2
Let g be (-1 - (-14)/18) + (106640/144)/43. Let i(r) be the first derivative of -g + 12*r**2 - 1/5*r**5 - 22/3*r**3 - 9*r + 2*r**4. Solve i(q) = 0 for q.
1, 3
Let g = 101/8055 + -1/25776. Let w(d) be the third derivative of 0 - g*d**5 + 0*d + 6*d**2 + 1/16*d**4 + 0*d**3 - 1/160*d**6. Factor w(s).
-3*s*(s - 1)*(s + 2)/4
Let z be (-54)/297 + (-1)/(55/(-10)). Let y(c) be the first derivative of 5/4*c**5 + 3/4*c**3 + z*c**2 - 24 - 15/8*c**4 + 0*c. Let y(u) = 0. Calculate u.
0, 3/5
Let j = 6628/5 + -1325. Let r = 748/5 + -739/5. Solve -r*q - j*q**2 + 0 = 0.
-3, 0
Factor 0 - 3/2*h**3 + 0*h - 276*h**2.
-3*h**2*(h + 184)/2
Let i = -244 - -1224/5. Let b = -12161/5 + 2445. Factor -256/5 - i*r**2 + b*r.
-4*(r - 8)**2/5
Let u(r) be the second derivative of r**6/180 + 37*r**5/120 + 77*r**4/36 - 16*r**3/3 + 3711*r. Solve u(s) = 0 for s.
-32, -6, 0, 1
Solve -293907/2*s - 30664297/2 - 939/2*s**2 - 1/2*s**3 = 0.
-313
Factor 651*h**2 - 221*h - 162*h**3 + 885*h - 676*h.
-3*h*(h - 4)*(54*h - 1)
Let h(p) be the first derivative of p**3 + 1293*p**2/2 - 3906*p - 8805. Find s such that h(s) = 0.
-434, 3
Let v(x) = 8*x**2 - 6*x + 8. Let a be v(2). Suppose 0 = -5*i + a + 62. Suppose 4*y**5 - 16*y**4 - 10*y**4 + i*y**4 = 0. What is y?
0, 2
Let m(o) be the first derivative of -5*o**6/6 + 16*o**5 + 70*o**4 + 110*o**3/3 - 275*o**2/2 - 190*o + 424. Solve m(x) = 0 for x.
-2, -1, 1, 19
Suppose -2*h = -7*h + 85. Let y(i) be the first derivative of 4*i**3 - 12 - 12*i - 25 - 5*i**4 + h + 10*i**2. Factor y(x).
-4*(x - 1)*(x + 1)*(5*x - 3)
Let a(n) = -41*n**2 - 1 + 3 + 30 - n + 28*n**2. Let u(d) be the third derivative of -d**5/20 + 4*d**3/3 - d**2. Let l(w) = 4*a(w) - 18*u(w). Factor l(k).
2*(k - 4)*(k + 2)
Factor 4/5*u**2 + 492/5 + 176/5*u.
4*(u + 3)*(u + 41)/5
Let h(c) be the first derivative of -3*c**6/10 + 96*c**5/25 - 69*c**4/5 + 114*c**3/5 - 39*c**2/2 + 42*c/5 + 929. Let h(q) = 0. What is q?
2/3, 1, 7
Let g(w) be the third derivative of 1/720*w**6 - 1/2016*w**8 - 1/1260*w**7 + 0*w + 1/360*w**5 + 0*w**3 + 0*w**4 + 35*w**2 + 0. Find z such that g(z) = 0.
-1, 0, 1
Let k(m) be the first derivative of -5*m**2 + m**5 - 20/3*m**3 - 119 + 5/2*m**4 + 15*m. Factor k(x).
5*(x - 1)**2*(x + 1)*(x + 3)
Let k = 227 + -175. Factor 161*y + 14*y**3 - 10*y**3 - 115 + 31*y - k*y**2 - 29.
4*(y - 6)**2*(y - 1)
Let i(d) be the first derivative of -d**4/6 - d**3 + 26*d - 100. Let t(z) be the first derivative of i(z). Factor t(g).
-2*g*(g + 3)
Suppose -u - 15 = -6*u. Suppose -u*c = -2*c - 20. Find y such that c*y**4 + 20*y**2 + 13 + 5*y + 5*y**5 - 27 + 30*y**3 + 14 = 0.
-1, 0
Let x(n) be the third derivative of n**7/42 - 7*n**6/24 + n**5/4 + 155*n**4/24 + 50*n**3/3 + 3*n**2 + 14*n - 21. Factor x(u).
5*(u - 5)*(u - 4)*(u + 1)**2
Let u(c) be the third derivative of -c**9/4032 + c**7/1120 + 10*c**3/3 - c**2 + 9. Let w(d) be the first derivative of u(d). Let w(a) = 0. What is a?
-1, 0, 1
Determine t, given that 80571*t + 8180*t**2 + 340*t**3 + 288000 + 11691*t + 5*t**4 - 10662*t = 0.
-24, -10
Let l = 21603 - 237629/11. Determine r so that l*r**3 + 0 - 6/11*r + 8/11*r**2 - 8/11*r**4 + 2/11*r**5 = 0.
-1, 0, 1, 3
Let p = -2484028/21 - -828070/7. Factor -2/3*y**2 - 44/3 + p*y.
-2*(y - 11)*(y - 2)/3
Let r(j) be the second derivative of -j**4/18 - 7*j**3/9 + 10*j**2 - 89*j + 2. What is z in r(z) = 0?
-10, 3
Let o(n) = 7*n**2 - 10*n - 11. Let l be o(-1). Let k(w) = w**2 - 2*w - 1. Let g(v) = -3*v**2 + 22*v - 2. Let y(p) = l*k(p) + g(p). Find u such that y(u) = 0.
-4, 2/3
Let d be (4/(-10))/(6/(-12)). Find c such that d*c**2 - 40*c + 500 = 0.
25
Let p = 4049/7 + -577. Let d be (234/(-3042))/(6/(-390)). Let -8/7*q**d + 0 + 6/7*q**4 - 2/7*q + p*q**3 - 6/7*q**2 = 0. Calculate q.
-1, -1/4, 0, 1
Let p = -60 + 119. Let c = -62 + p. Let m(x) = 5*x**2 + 4*x - 4. Let h(s) = -4*s**2 - 3*s + 3. Let n(o) = c*m(o) - 4*h(o). Let n(b) = 0. Calculate b.
0
Suppose -113*l**2 - 67*l**2 + 177*l**2 + 205 - 58*l - 29 = 0. Calculate l.
-22, 8/3
Let l(m) = 18*m**2 - 190*m. Let o(t) = 2*t**2 - 21*t. Let v(a) = -a + 75. Let y be v(23). Let n(j) = y*o(j) - 6*l(j). Factor n(d).
-4*d*(d - 12)
Let g = -1771 + 1773. Let y(d) be the first derivative of -1/2*d**3 - 1 + 3/4*d - 3/2*d**g + 27/20*d**5 + 9/4*d**4. Factor y(q).
3*(q + 1)**2*(3*q - 1)**2/4
Suppose -108*k + 204 = -91*k. Suppose -13*u + 15*u + 4 = d, -3*d = -u - k. Solve d*p - 2/3*p**2 + 0 - 2/3*p**3 = 0.
-3, 0, 2
Let f(n) = -n**2 - 14*n - 1. Let s be f(-13). Factor 6*d**3 - 75*d + s*d**3 + 87*d + 22*d**2 + 5*d**2 + 3*d**4.
3*d*(d + 1)**2*(d + 4)
Factor 43/6*n**3 - 2*n**2 - 17/4*n**4 + 0*n + 0.
-n**2*(3*n - 4)*(17*n -