irst derivative of s(p). Solve n(g) = 0 for g.
-1, 0
Suppose 4*b - n + 6 = 3, -2*b = -3*n + 9. Suppose k = -b + 2. Let -2*q**2 - 6*q + 1 - q**k - 4 = 0. What is q?
-1
Let r be (-96)/(-36) + ((-3)/2)/(-3). Let v = -5/2 + r. Let -1/3 + v*j - 1/3*j**2 = 0. Calculate j.
1
Let c be 1/((-14)/(-12)*(-7)/(-49)). Let l(a) = 6 + 6*a**2 - 7*a + 0 + a**2. Let x(o) = 13*o**2 - 13*o + 11. Let t(w) = c*x(w) - 11*l(w). Factor t(n).
n*(n - 1)
Factor 3 + 3 + 27 - 36*d - 3*d**2 + 6*d**2.
3*(d - 11)*(d - 1)
Let s be 104/(-13) - 2 - -14. Factor -1/3*n**3 + 1/3*n**2 + 0 + 1/3*n - 1/3*n**s.
-n*(n - 1)*(n + 1)**2/3
Determine q so that -40/11*q + 2/11*q**2 + 0 = 0.
0, 20
Let o = 926/21 + -44. What is j in -40/21*j + o*j**2 + 200/21 = 0?
10
Let u(n) be the third derivative of -n**6/180 + 2*n**5/5 - 11*n**4/4 + 2*n**2 - 219*n. Factor u(l).
-2*l*(l - 33)*(l - 3)/3
Let o(x) be the second derivative of -x**5/2 - 35*x**4/12 - 5*x**3/2 + 69*x - 1. Find n, given that o(n) = 0.
-3, -1/2, 0
Let t = 534 - 531. Let u(a) be the first derivative of -2/3*a**t + 3*a**2 - 4*a - 6. Let u(i) = 0. What is i?
1, 2
Let k(g) be the first derivative of -4*g**6/3 + 56*g**5/5 - 25*g**4/2 - 244*g**3/3 + 128*g**2 - 64*g - 137. Find r such that k(r) = 0.
-2, 1/2, 4
Let q be (-2)/4 + 37/2. Suppose -q = 2*c - 5*c. Factor 9*u**2 + 3*u + 0*u**2 - 3 - c*u**2 - 3.
3*(u - 1)*(u + 2)
Let n(j) = 2*j**4 - j**3 + j**2 + 4*j + 3. Let b(w) = w**4 - w**2 + 1. Let i(z) = 12*b(z) - 4*n(z). Let i(x) = 0. Calculate x.
-2, -1, 0, 2
Factor -57 - 2*o**3 + 26 + 4*o**2 + 10*o + 19.
-2*(o - 3)*(o - 1)*(o + 2)
Let u(o) be the first derivative of -1/24*o**6 + 21 + 0*o**2 + 0*o + 1/20*o**5 + 0*o**3 + 1/8*o**4. Factor u(c).
-c**3*(c - 2)*(c + 1)/4
Let c(k) be the second derivative of 9*k**5/100 - k**4/5 + k**3/10 + 12*k. Find q, given that c(q) = 0.
0, 1/3, 1
Factor -628452/7*l**3 - 2/7 - 28152/7*l**2 + 657018/7*l**4 - 412/7*l.
2*(l - 1)*(69*l + 1)**3/7
Let i = 1607/3 - 535. Let c(y) be the first derivative of i*y**3 - 8*y + 0*y**2 + 8. Factor c(x).
2*(x - 2)*(x + 2)
What is f in f**3 - 9/2*f**2 - 3*f + 5/2 = 0?
-1, 1/2, 5
Let z(x) be the second derivative of -x**7/1680 + 7*x**6/480 - x**5/8 + 37*x**4/12 + 19*x. Let s(b) be the third derivative of z(b). What is u in s(u) = 0?
2, 5
Let w(n) be the first derivative of -n**5/25 - 3*n**4/20 + 11*n**3/5 + 7*n**2/2 + 408. Factor w(m).
-m*(m - 5)*(m + 1)*(m + 7)/5
Suppose 0 = 3*b + 8*x - 11*x + 549, -b = 2*x + 192. Let q = -186 - b. Factor q*r - 3/5 + 3/5*r**2.
3*(r - 1)*(r + 1)/5
Let w(b) = 16*b - 101. Let m be w(7). Suppose 8*d = -m + 11. Factor 1/9*g**3 + 8/9*g**2 + 16/9*g + d.
g*(g + 4)**2/9
Let u(k) = -k**3 + 4*k**2 + 320*k + 3. Let t be u(20). Find o, given that 128/5*o - 4/5*o**4 - 96/5*o**2 + 32/5*o**t - 64/5 = 0.
2
Let l(g) = 3*g**3 + 4*g**2 - g - 2. Let c(i) be the first derivative of i**4 + 5*i**3/3 - i**2/2 - 2*i - 14. Let f(m) = 4*c(m) - 6*l(m). Factor f(k).
-2*(k - 1)*(k + 1)*(k + 2)
Suppose -531*y = -543*y. Let b(n) be the third derivative of y*n**3 - 1/140*n**6 + 1/735*n**7 - 6*n**2 + 0 - 1/84*n**4 + 1/70*n**5 + 0*n. Factor b(d).
2*d*(d - 1)**3/7
Let k(z) = -z**3 + z**2 + 1. Let f(b) = 9 + 9*b - 90*b**3 - 96*b**3 + 7*b**2 + 181*b**3. Let i(j) = f(j) - 4*k(j). Factor i(s).
-(s - 5)*(s + 1)**2
Suppose f = -2*f - 3*m + 33, -3*m = 9. Factor -35*z - f + 6 - 45*z**2 + 11 + 7.
-5*(z + 1)*(9*z - 2)
Let -s**2 + 13317*s**4 - 25*s**3 - 29*s**2 - 13322*s**4 = 0. What is s?
-3, -2, 0
Suppose -17 = -5*i + 3. Find b such that 6*b**3 + b**5 + 29*b**4 - 26*b**i - 4*b**5 = 0.
-1, 0, 2
Let p(q) be the third derivative of -q**8/252 - 29*q**7/315 - 163*q**6/360 + 673*q**5/360 - 23*q**4/9 + 16*q**3/9 + 383*q**2. Factor p(d).
-(d + 8)**2*(2*d - 1)**3/6
Suppose -255*r - 8 = -271*r + 24. Factor 20/21*t + 2/7 + 2/3*t**r.
2*(t + 1)*(7*t + 3)/21
Let m(k) = 8*k**2 - 20*k + 15. Let v(b) = 105*b**2 - 260*b + 195. Let w(y) = -3*y + 6. Let t be w(3). Let a(l) = t*v(l) + 40*m(l). Factor a(h).
5*(h - 3)*(h - 1)
Let c(k) be the third derivative of -1/600*k**5 + 0*k**4 + 0*k**3 + 4*k**2 + 1/2100*k**7 + 2 + 0*k**6 + 0*k. Factor c(p).
p**2*(p - 1)*(p + 1)/10
Let a(i) = -4*i**4 - 37*i**3 + 91*i**2 + 118*i - 315. Let x(b) = 6*b**4 + 55*b**3 - 137*b**2 - 178*b + 473. Let g(v) = -7*a(v) - 5*x(v). Factor g(p).
-2*(p - 2)**2*(p + 2)*(p + 10)
Suppose 2*d - 5*d = -666. Find t, given that 126*t**2 - 108*t**3 - d*t**2 - 4*t - 12*t = 0.
-2/3, -2/9, 0
Solve 5/7*z**5 - z**4 + 0 + z**2 - 3/7*z**3 - 2/7*z = 0 for z.
-1, 0, 2/5, 1
Let t(k) be the third derivative of 2*k**2 + 0*k + 3/160*k**5 - 1/48*k**4 - 7/1440*k**6 + 0 - 2*k**3. Let l(r) be the first derivative of t(r). Factor l(m).
-(m - 1)*(7*m - 2)/4
Let w(q) = q**3 + 7*q**2 + 11*q - 4. Let c be w(-4). Factor 0*p - p**2 + c - 1/2*p**3.
-p**2*(p + 2)/2
Suppose 3*y = -3*o + 9, -y + 24 - 15 = 4*o. Suppose 5*l + 0*l = 0. Factor 8 - o*c**2 - 6 + l.
-2*(c - 1)*(c + 1)
Let v(s) be the third derivative of -s**6/300 + s**5/150 + s**4/60 - s**3/15 - 106*s**2. Factor v(x).
-2*(x - 1)**2*(x + 1)/5
Let o(j) be the second derivative of j**5/50 + 37*j**4/30 + 71*j**3/15 + 7*j**2 + 61*j + 5. Factor o(m).
2*(m + 1)**2*(m + 35)/5
Let a(p) be the third derivative of p**8/126 + p**7/315 - 7*p**6/180 - p**5/90 + p**4/12 - 57*p**2 - 2. Let a(f) = 0. What is f?
-1, 0, 3/4, 1
Let o(k) = -k**3 - 23*k**2 - 24*k - 44. Let p be o(-22). Let v(n) be the first derivative of 2 + 1/2*n**3 + p*n + 0*n**2. Suppose v(w) = 0. What is w?
0
Suppose -5 = -4*t + 5*d, 2*t - 5*d = -0*t + 5. What is l in -2/3*l**2 - 2/3*l**5 + t*l + 2/3*l**3 + 2/3*l**4 + 0 = 0?
-1, 0, 1
Suppose 413*l + 24 = 421*l. Let f(k) be the second derivative of 0*k**4 - 3*k + 0*k**2 + 0 + 0*k**5 + 0*k**l + 1/150*k**6. Let f(s) = 0. What is s?
0
Suppose -20*w + 73*w = 206 - 47. Factor 0*t**w - 1/10*t + 1/10*t**5 + 0 + 1/5*t**4 - 1/5*t**2.
t*(t - 1)*(t + 1)**3/10
Let j be (-368)/(-72) + (-11 - -7). Factor 4/9 - 2/9*m**4 - j*m + 2/3*m**2 + 2/9*m**3.
-2*(m - 1)**3*(m + 2)/9
Let y = -2/21363 - -14252/106815. Factor y*f**4 - 36/5*f + 24/5*f**2 + 18/5 - 4/3*f**3.
2*(f - 3)**3*(f - 1)/15
Let b(h) be the third derivative of h**5/450 - h**4/45 + h**3/15 + h**2 + 3. Solve b(o) = 0 for o.
1, 3
Let r(q) be the first derivative of -5/2*q**2 - 5/4*q**4 + 0*q + 10 - 10/3*q**3. Solve r(x) = 0 for x.
-1, 0
Let g(v) be the second derivative of -v**4/66 - 70*v**3/11 - 11025*v**2/11 + 11*v + 28. Suppose g(q) = 0. What is q?
-105
Let d(t) = 16*t**2 - 5*t + 30. Let y(w) = 6*w**2 - 2*w + 10. Let x(f) = 6*d(f) - 17*y(f). Find l, given that x(l) = 0.
-1, 5/3
Suppose -2*c - 188 = -72. Let b be (-16)/20*(1 - c/(-28)). Factor 1/7*n**3 + 0 + 9/7*n + b*n**2.
n*(n + 3)**2/7
Suppose 0 = 127*j - 123*j. Solve 2/9*v**4 + 2/9*v**2 + 4/9*v**3 + 0*v + j = 0.
-1, 0
Let r(d) = -3*d**2 + 3*d - 9. Suppose 5*h = -5*w - 20, -h + 4*h = -w - 12. Let i(y) = 2*y**2 - 2*y + 8. Let c(v) = h*r(v) - 5*i(v). Factor c(p).
2*(p - 2)*(p + 1)
Let t(g) = -g**3 - 15*g**2 - 12*g + 28. Let v be t(-14). Factor -12*y**2 + 5 + 13*y**2 - y - 7 + v.
(y - 2)*(y + 1)
Let l = -9239 - -9243. Factor 2/13*q**l + 2/13*q**5 + 0 + 0*q - 4/13*q**3 + 0*q**2.
2*q**3*(q - 1)*(q + 2)/13
Let 0 - 6/7*h**4 + 48/7*h**2 - 6/7*h**3 + 72/7*h = 0. Calculate h.
-2, 0, 3
Let q(m) be the second derivative of -m**8/50400 - m**7/18900 + m**6/5400 + m**5/900 - m**4 - 3*m. Let w(n) be the third derivative of q(n). Factor w(r).
-2*(r - 1)*(r + 1)**2/15
Let n = 55081/90 - 612. Let h(w) be the second derivative of 0*w**2 - 1/12*w**4 + 1/20*w**5 + 6*w + 0 + 1/18*w**3 - n*w**6. Let h(x) = 0. Calculate x.
0, 1
Let h = 4951/3 + -1649. What is s in 4/3*s**2 - h*s**4 + 2/3*s - 2/3*s**5 + 0*s**3 + 0 = 0?
-1, 0, 1
Let i(j) be the second derivative of -1/6*j**6 - 26*j + 5/2*j**3 - 3/4*j**5 + 0 - 5/12*j**4 + 5*j**2. Determine l so that i(l) = 0.
-2, -1, 1
Suppose -8*a - 3963 = -4003. Let 0*f + 16/9*f**3 + 2/9*f**a - 10/9*f**4 - 8/9*f**2 + 0 = 0. What is f?
0, 1, 2
Factor -2/5*j**3 - 76/5 + 22*j - 32/5*j**2.
-2*(j - 2)*(j - 1)*(j + 19)/5
Let x be 3*9/7 + (-4)/(-28). Suppose -2*l = l + 3*p - 15, 3*l = -x*p + 17. Factor 2/3*m**4 + 0*m + 0 + 10/9*m**l + 4/9*m**2.
2*m**2*(m + 1)*(3*m + 2)/9
Suppose 381 - 385 = k, 6*k = -2*b - 18. Factor 1 - p**2 + 1/2*p**b - 1/2*p.
(p - 2)*(p - 1)*(p + 1)/2
Let j(r) be the first derivative of -10/3*r**2 + 8/