-21*s**3 + 3*s**4 + 33*s**2 + 34*s - 23*s - 26*s.
3*s*(s - 5)*(s - 1)**2
Let k be 78/36 + (1241/(-102) - -12). Suppose -13/3*g**4 - 37/3*g**k - 4/3 - 20/3*g - 2/3*g**5 - 32/3*g**3 = 0. Calculate g.
-2, -1, -1/2
Let j be (46/(-1035))/(26/(-6) - -3). Let d(q) be the second derivative of 4*q - 1/20*q**5 + j*q**6 + 0 - 1/12*q**4 + 0*q**2 + 1/6*q**3. Factor d(k).
k*(k - 1)**2*(k + 1)
Let p(r) = -r**3 - 7*r**2 + 45*r + 13. Let w be p(-11). Factor 2/7*s**3 + 4/7*s**w + 0 + 2/7*s.
2*s*(s + 1)**2/7
Let t(d) = -10*d**3 + d**2 + 3*d + 6. Let u(l) = -11*l**3 + 4*l + 7. Suppose 7*y = 6*y + 7. Let p(x) = y*t(x) - 6*u(x). Factor p(b).
-b*(b - 1)*(4*b - 3)
Let l(o) = -o**2 - 8*o + 12. Let d be l(-9). Let -55*y**3 + 164*y**2 - 40 - 61*y**3 + 35*y**4 + 140*y - 134*y**2 + y**d = 0. What is y?
-1, 2/7, 2
Let c(l) be the first derivative of 0*l - 81/25*l**5 - 63/10*l**4 - 3/5*l**2 + 3 - 17/5*l**3. Solve c(i) = 0 for i.
-1, -1/3, -2/9, 0
Let m(b) = -b**2 - 9*b + 2. Suppose -63 = f + 6*f. Let l be m(f). Determine o so that 0 - 1/4*o**3 + 3/4*o**l - 1/2*o = 0.
0, 1, 2
Let w(u) be the second derivative of u**9/9072 + u**8/4032 - u**7/756 + 3*u**4/4 + 6*u. Let n(i) be the third derivative of w(i). Find h such that n(h) = 0.
-2, 0, 1
Let i(a) = -a**2 + 12*a + 3. Let s be i(12). Suppose 4*o - 2*k - 13 = -5*k, -o + 7 = -s*k. Factor 8 - o*l - 4*l**2 - 2*l + 2*l.
-4*(l - 1)*(l + 2)
Factor 22*f + 9*f**2 - 7*f**2 + 16*f + 36.
2*(f + 1)*(f + 18)
Let o(m) be the third derivative of -1/60*m**5 + 0*m + 1/6*m**4 - 1/2*m**3 + 0 + 10*m**2. Factor o(q).
-(q - 3)*(q - 1)
Factor 6*b**3 + 32*b - 1/2*b**4 - 24*b**2 + 0.
-b*(b - 4)**3/2
Let u(g) be the third derivative of 3*g**2 - 11/8*g**4 - g**3 + 9/70*g**7 + 0 - 7/20*g**5 + 11/40*g**6 + 0*g. Determine c, given that u(c) = 0.
-1, -2/9, 1
Let m(t) be the second derivative of -t**5/20 - t**4/3 - 4*t - 6. Determine o so that m(o) = 0.
-4, 0
Let o(g) = g**3 + g**2 + 7*g - 5. Let k be o(1). Factor 0 + 3/2*f**3 - 3/4*f**k + 0*f - 3/4*f**2.
-3*f**2*(f - 1)**2/4
Suppose -5*b + 63 - 87 = 4*x, -2*b = -x + 20. Find h, given that -8/17*h + 0 - 2/17*h**x + 8/17*h**2 + 2/17*h**3 = 0.
-2, 0, 1, 2
Let z = 1/215 + 41/430. Let g(l) be the second derivative of 0 + 1/3*l**3 - z*l**5 + 7*l + 0*l**2 + 0*l**4. Let g(v) = 0. What is v?
-1, 0, 1
Let b(z) be the third derivative of 0 + 11/24*z**5 + 1/3*z**3 + 4*z**2 + 103/480*z**6 + 1/192*z**8 + 11/210*z**7 + 13/24*z**4 + 0*z. What is x in b(x) = 0?
-2, -1, -2/7
Let z(d) be the first derivative of 5 - 25/4*d**2 + 12*d - 1/24*d**4 + 5/6*d**3. Let x(a) be the first derivative of z(a). Factor x(u).
-(u - 5)**2/2
Let q(p) = 2*p**2 + 2*p + 2. Let c be q(2). Suppose -9*n = -c*n + 15. Factor n*y**5 - 4*y**3 + y**3 - 2*y**4 + y**2 + y**4.
y**2*(y - 1)*(y + 1)*(3*y - 1)
Factor 18/7 + 2/21*n**2 + 8/3*n.
2*(n + 1)*(n + 27)/21
Let v(i) be the first derivative of i**5/25 - 2*i**4/5 - 1051. Solve v(r) = 0 for r.
0, 8
Let n(t) = -76 - 4*t**2 + 76 + 40*t. Suppose 4*m = 88 - 24. Let q(w) = w**2 - 8*w. Let y(s) = m*q(s) + 3*n(s). Find b, given that y(b) = 0.
0, 2
Let z(f) = -80*f**4 + 225*f**3 - 45*f**2 - 100*f - 55. Let v(s) = 9*s**4 - 25*s**3 + 5*s**2 + 11*s + 6. Let x(p) = -55*v(p) - 6*z(p). Factor x(q).
-5*q*(q - 1)**2*(3*q + 1)
Let u(p) be the second derivative of -2*p**7/21 + 34*p**6/15 - 66*p**5/5 + 68*p**4/3 + 112*p**3/3 - 192*p**2 - 864*p. Factor u(q).
-4*(q - 12)*(q - 2)**3*(q + 1)
Let d(g) = -g**3 - 9*g**2 - 10*g. Let u be d(-8). Factor -3*z**4 + 2*z**5 + 16*z + 36*z**3 + u*z**4 - z**4 + 40*z**2 + 2*z**4.
2*z*(z + 1)*(z + 2)**3
Let o(b) = -12*b + 100. Let p be o(8). Let m(t) be the first derivative of -2*t + p - 7/3*t**3 - 9/2*t**2. Solve m(r) = 0.
-1, -2/7
Suppose -4/3 - 17/6*v**2 + 11/3*v + 1/2*v**3 = 0. Calculate v.
2/3, 1, 4
Factor 16/3*l**2 - 64/3*l + 13*l**3 + 0 + 3*l**4.
l*(l - 1)*(3*l + 8)**2/3
Let f = 5/277 - -1637/1385. Suppose k = -4*k + 3*z + 22, -3*k + 12 = -3*z. Find j, given that f - 2/5*j**4 - 4/5*j**2 + 2/5*j**k + 2*j - 12/5*j**3 = 0.
-1, 1, 3
Let q(v) be the third derivative of 0*v + 1/4*v**5 + 1/24*v**6 + 0*v**4 - 10/3*v**3 + 16*v**2 + 0. Determine b, given that q(b) = 0.
-2, 1
Let g = -21 - -41. Factor 17*q**2 - g*q**2 - 7*q - 2*q.
-3*q*(q + 3)
Let f(z) be the first derivative of -z**6/21 - 8*z**5/35 - z**4/14 + 20*z**3/21 + 4*z**2/7 - 16*z/7 + 169. Factor f(l).
-2*(l - 1)**2*(l + 2)**3/7
Suppose 4*h - 2*z + 5*z = 0, 4*h + 8 = -5*z. Suppose h*b + 8 = n, 0*b = n + b. Factor -12 - 4*q**2 + 30 - 11*q + 6*q**n - q.
2*(q - 3)**2
Determine b so that -49*b**4 - 93*b**3 + 276*b**2 - 69*b**4 + 127*b**4 - 102*b - 30*b - 240 = 0.
-2/3, 2, 4, 5
Let o(v) = -2*v**3 + 5*v**2 + 5*v - 6. Let d be o(3). Let j(l) be the third derivative of -35/24*l**4 + 0*l + 5/3*l**3 + 5/12*l**5 + 8*l**2 + d. Factor j(y).
5*(y - 1)*(5*y - 2)
Let k(o) = -369*o - 2580. Let q be k(-7). Factor 6/11*b**5 + 0*b**2 + 0*b + 0 - 18/11*b**q - 12/11*b**4.
6*b**3*(b - 3)*(b + 1)/11
Suppose 8*o - 3*o = 10. Suppose -3*r - m + 7 = 0, -3*r + 3*m = -r - 23. Determine a, given that -3*a**2 + o*a**3 - 2*a + 4*a**3 - r*a**3 - 3*a**3 = 0.
-2, -1, 0
Let z(o) = o**3 - 6*o**2 - 5*o + 5. Let t(b) = 3*b**2 + 3*b - 3. Let f(h) = -5*t(h) - 3*z(h). Determine j, given that f(j) = 0.
0, 1
Suppose 558*h**4 + 15407*h**2 + 35*h**5 - 7696*h**2 - 224*h**3 - 107*h**5 - 7687*h**2 - 90*h**5 = 0. What is h?
0, 2/9, 3
Let s(h) = 7*h**3 + 10*h**2 + 41*h + 18. Let a(o) = -6*o**3 - 12*o**2 - 42*o - 20. Let y(j) = -5*a(j) - 4*s(j). Determine c so that y(c) = 0.
-7, -2, -1
Let p(y) be the first derivative of -y**6/16 - 3*y**5/20 + 9*y**4/32 + y**3 + 3*y**2/4 - 100. Solve p(u) = 0.
-2, -1, 0, 2
Let v(x) be the first derivative of 1/15*x**5 + 13/9*x**3 + 11 + 1/2*x**4 + 2*x**2 + 4/3*x. Suppose v(n) = 0. What is n?
-2, -1
Let m be 6 + -4 - 0 - 32. Let k be ((-6)/m)/((-6)/(-40)). Let 4/3*x + k*x**2 + 1/3*x**5 - x**3 - 2/3*x**4 + 0 = 0. What is x?
-1, 0, 2
Let n(w) be the second derivative of -w**7/5460 - w**6/2340 + w**5/780 + w**4/156 - 11*w**3/6 + 4*w. Let k(l) be the second derivative of n(l). Factor k(s).
-2*(s - 1)*(s + 1)**2/13
Let o(r) = r**3 - 4*r**2 + r - 1. Let f(c) = 411*c**3 + 5826*c**2 + 2546*c + 274. Let i(b) = -f(b) + 6*o(b). Factor i(n).
-5*(n + 14)*(9*n + 2)**2
Suppose 6*r - 26 - 4 = 0. Let c(g) be the second derivative of 0 + 1/10*g**3 - r*g - 3/100*g**5 + 0*g**4 + 0*g**2. Factor c(u).
-3*u*(u - 1)*(u + 1)/5
Let d(z) be the first derivative of z**5 - 15*z**4/2 - 5*z**3 + 50*z**2 - 60*z - 4. Factor d(n).
5*(n - 6)*(n - 1)**2*(n + 2)
Let k(s) = s**3 - 16*s**2 - 15*s - 31. Let p be (16/(-48))/(-2*1/102). Let j be k(p). Solve 1/2 - 1/2*h + 1/8*h**j - 1/8*h**2 = 0 for h.
-2, 1, 2
Let -42/5 - 3/5*i**4 - 3*i + 9*i**2 + 3*i**3 = 0. What is i?
-2, -1, 1, 7
Let p = 81 + -77. Let 15*v**p + 67*v - 27*v**3 + 21*v**2 + 70*v - 3*v**5 - 143*v = 0. What is v?
0, 1, 2
Factor 0 + 3/2*k**4 + 0*k - 25/4*k**3 + 9/2*k**2 + 1/4*k**5.
k**2*(k - 2)*(k - 1)*(k + 9)/4
Let s be 284/14 + (-4)/14. Let w = 22 - s. Let 1/2 + 1/2*b**w - b = 0. Calculate b.
1
Suppose 2*g + 14 = 4*y, -7 = -y + 2*g + 2*g. Find w such that -3*w**2 - w**y + 2*w + 2 - w + 2*w**4 - w**4 = 0.
-1, 1, 2
Let h(r) be the third derivative of -r**6/1500 - 3*r**5/250 - 9*r**4/100 - 9*r**3/25 + 166*r**2. Let h(q) = 0. What is q?
-3
Let m be (-54)/(-8) + (-2)/(-8). Suppose -10 = -m*a + 2*a + 3*q, 5*a - q - 10 = 0. Factor -y**3 + 4*y + 4*y**3 + a*y - 9*y.
3*y*(y - 1)*(y + 1)
Let f(s) = 6*s**4 - 30*s**3 - 156*s**2 + 2139*s - 1950. Let u(v) = v**4 + v**3 + v**2 + 2*v - 2. Let x(p) = -f(p) + 3*u(p). Determine b so that x(b) = 0.
-8, 1, 9
Let h be 26/78 + (-1)/2 + (-15)/(-18). Let z = -3 + 5. Determine w so that -7/3*w**4 + 0 + 4*w**3 - w**z - h*w = 0.
-2/7, 0, 1
Let r(q) be the second derivative of 5*q**4/24 - 545*q**3/12 + 135*q**2 + 3*q + 24. Factor r(j).
5*(j - 108)*(j - 1)/2
Let j = 436/73 - 9152/1679. Find i, given that 0 - 12/23*i**3 - 2/23*i**4 - j*i - 22/23*i**2 = 0.
-3, -2, -1, 0
Suppose 3/7*y**4 + 0*y + 0 + 6/7*y**3 + 0*y**2 - 3/7*y**5 = 0. Calculate y.
-1, 0, 2
Suppose -4*h + 14 - 19 + 0*h**2 - h**2 + 1 = 0. What is h?
-2
Suppose -3 - 17 = -5*w. Factor 3 + w*b + 3*b**2 - 8*b - 2*b.
3*(b - 1)**2
Suppose -4*x = 5*b - 18, -5*x = 12*b - 15*b - 4. Factor 1/2*h**2 + 0 - b*h.
h*(h - 4)/2
Let x(m) be the first derivative of -7*