+ 1/5*r**5 + 1/5 + 1/5*r + 1/5*r**4 - z*r**2 = 0 for r.
-1, 1
Let n(v) be the second derivative of -3*v**5/100 + 11*v**4/10 - 121*v**3/10 + 65*v. Find o, given that n(o) = 0.
0, 11
Factor 2/15*j**2 - 2 + 4/15*j.
2*(j - 3)*(j + 5)/15
Let q(z) be the first derivative of -3*z**5/5 - 6*z**4 + 3*z**3 + 33*z**2 - 48*z - 141. Factor q(d).
-3*(d - 1)**2*(d + 2)*(d + 8)
Let w = 14 - 7. Let o be (1 - w)*5/(-15). Let 3*k**o - 5*k**2 + 4*k**2 = 0. Calculate k.
0
Let m(j) be the second derivative of -j**6/105 - 9*j**5/70 - j**4/3 - 13*j + 4. Find w, given that m(w) = 0.
-7, -2, 0
Suppose -6 + 6*w**2 + 2/5*w**3 - 2/5*w = 0. What is w?
-15, -1, 1
Let g(y) be the second derivative of -2/5*y**3 + 0 + 0*y**4 - 3/70*y**7 + 27/100*y**5 + 0*y**2 + 2*y - 1/25*y**6. Let g(w) = 0. What is w?
-2, -2/3, 0, 1
Let d(m) be the first derivative of 0*m - 3/2*m**2 + 2/3*m**3 - 2 - 1/12*m**4. Factor d(q).
-q*(q - 3)**2/3
Let n be -4 + (-14)/(-4) + (-46)/(-36). Let r = n - 1/36. Factor -9/4*v**2 + 0 + r*v**3 + 3/2*v.
3*v*(v - 2)*(v - 1)/4
Factor 85*s + 35*s**2 - s**2 - 18*s**2 + 40 + 34*s**2 + 5*s**3.
5*(s + 1)**2*(s + 8)
Let f be 3 + 2 + 162/(-1 - -4). Let -45*u**3 + 35*u - 4*u**2 + 141*u**3 - f*u - 64*u**4 - 4 = 0. What is u?
-1/4, 1
Let k(v) = 6*v**4 - 78*v**3 + 365*v**2 - 677*v + 384. Let j(w) = 3*w**4 - 39*w**3 + 183*w**2 - 339*w + 192. Let d(o) = 5*j(o) - 3*k(o). Factor d(n).
-3*(n - 4)**3*(n - 1)
Let d be 5*(3 - (4 - 4)). Factor 31*t - 16*t - d*t + 2*t**4 - 6*t**3.
2*t**3*(t - 3)
Let i(j) be the second derivative of 1/2*j**3 + 0 + 1/10*j**5 + 5/12*j**4 + 15*j + 0*j**2. Suppose i(o) = 0. What is o?
-3/2, -1, 0
Let v(u) be the first derivative of 40*u - 13 + 135/4*u**4 - 30*u**2 - 30*u**3. What is x in v(x) = 0?
-2/3, 2/3
Let k = 2/585 - -466/585. Let o(n) be the first derivative of k*n**3 - 4 + 0*n + 81/20*n**4 - 6/5*n**2 + 7/10*n**6 + 78/25*n**5. What is m in o(m) = 0?
-2, -1, 0, 2/7
Let c(k) = k**3 - 6*k**2 - 7*k + 3. Let l be c(7). Suppose l*o + 12 = 0, 3*x = -2*x + o + 24. Solve -x*q**4 + 7*q**4 - 2*q**5 - q**5 = 0.
0, 1
Let a(x) be the first derivative of 361*x**5/240 + 19*x**4/24 + x**3/6 + 2*x**2 - 12. Let n(g) be the second derivative of a(g). Let n(u) = 0. What is u?
-2/19
Solve -99*g - 81*g - 1620 + 1326132*g**2 - 1326137*g**2 = 0 for g.
-18
Let f(k) be the first derivative of -k**9/2268 - k**8/420 + 2*k**6/135 - 3*k**3 - 5. Let y(q) be the third derivative of f(q). Factor y(s).
-4*s**2*(s - 1)*(s + 2)**2/3
Let a(o) = o**3 - 4*o**2 + 3. Let p be a(4). Suppose g + 3*r - 11 = -2, p*g - 5 = 2*r. What is y in 0*y**2 + 0 - y**g + 0*y + y**4 + 3/4*y**5 = 0?
-2, 0, 2/3
Let h be 2 - (-1 - (0 - 1)). Let -8 + 3*j**h - 30*j**2 + j**3 - 24*j + 5*j**2 - 7*j**3 = 0. Calculate j.
-2, -1, -2/3
Let i be 121/3 + ((-70)/(-21))/(-10). Find u, given that i*u**3 + 4*u**2 + 11*u**3 + 588*u**4 + 46*u**3 + 1372*u**5 - 13*u**3 = 0.
-1/7, 0
Let v(l) be the first derivative of l**4/2 + 10*l**3/3 - 14*l**2 + 26. Factor v(d).
2*d*(d - 2)*(d + 7)
Factor -1/2*k**4 + 10 + 5*k**3 - 16*k + 3/2*k**2.
-(k - 10)*(k - 1)**2*(k + 2)/2
Suppose 8*b + 8 = 12*b. Suppose o = -5*u + 10, -6 = -o - b*o - 3*u. Factor o*a**2 + 0 - 1/2*a**4 + 0*a + 1/2*a**3.
-a**3*(a - 1)/2
Let h(w) be the third derivative of w**6/420 + 2*w**5/105 + 5*w**4/84 + 2*w**3/21 - 4*w**2 + 10*w. Factor h(x).
2*(x + 1)**2*(x + 2)/7
Let q be 1/((-9)/(-27))*2 - (0 - -2). Determine w so that 2/15*w**q + 2/5 - 4/15*w - 8/15*w**2 + 4/15*w**3 = 0.
-3, -1, 1
Factor 7/2*r + r**2 - 1/2*r**5 - 3*r**3 + 3/2 - 5/2*r**4.
-(r - 1)*(r + 1)**3*(r + 3)/2
Suppose -4*t - t + 165 = 0. Let c = -30 + t. Suppose 18 + 10 + 9*v**2 + c*v**3 + 6*v - 28 = 0. What is v?
-2, -1, 0
Let c(j) be the first derivative of -j**7/1470 - j**6/630 - 38*j**3/3 + 1. Let n(m) be the third derivative of c(m). Find z such that n(z) = 0.
-1, 0
Factor 10 + 12*p**3 - 31 - 100 - 35 - 609*p**2 - 777*p.
3*(p - 52)*(p + 1)*(4*p + 1)
Let w(k) = k**3 + 5*k**2 + k - 11. Let h be w(-6). Let t = -105/2 - h. Factor -t*d + d**2 - 1/2.
(d - 1)*(2*d + 1)/2
Factor 34 + 14 + 20*v**2 - 80*v - 4*v**3 + 16*v**2.
-4*(v - 6)*(v - 2)*(v - 1)
Determine w, given that -3/2*w**4 + 0 - 27*w**3 - 192*w - 144*w**2 = 0.
-8, -2, 0
Let f(d) be the second derivative of d**6/960 - 3*d**5/320 + d**4/32 - 2*d**3/3 + 5*d. Let c(o) be the second derivative of f(o). Solve c(q) = 0.
1, 2
Let z(b) be the third derivative of 0*b + 0 - 1/135*b**5 + 2*b**2 + 1/27*b**4 - 2/27*b**3. Factor z(m).
-4*(m - 1)**2/9
Let f(j) be the first derivative of j**6/33 - 14*j**5/55 + 8*j**4/11 - 16*j**3/33 - 16*j**2/11 + 32*j/11 + 112. Factor f(s).
2*(s - 2)**4*(s + 1)/11
Suppose -19 = -7*q + 9. Find n, given that -7*n + 8*n**2 + 5*n**3 + 12*n**2 - 5*n**q + 0*n**3 - 13*n = 0.
-2, 0, 1, 2
Let a(z) be the first derivative of 2*z**3/3 + 202*z**2 + 20402*z - 399. Suppose a(d) = 0. What is d?
-101
Factor 3*l**2 + 18 + 291/4*l.
3*(l + 24)*(4*l + 1)/4
Let j = 1755123/123683 - 1/53007. Let t = j + -90/7. Factor 8/3*p - t*p**2 - 16/9 + 2/9*p**3.
2*(p - 2)**3/9
Let z(w) be the second derivative of w**4/20 + 159*w**3/10 + 237*w**2/5 + 20*w + 16. Let z(s) = 0. What is s?
-158, -1
Let z(h) = -20*h**2 - 197*h - 697. Let i(l) = -6*l**2 - 66*l - 232. Let q(p) = -13*i(p) + 4*z(p). Factor q(d).
-2*(d - 38)*(d + 3)
Let f(q) be the second derivative of q**5/35 - 2*q**4/21 + 2*q**3/21 + 2*q + 57. What is a in f(a) = 0?
0, 1
Let z(i) be the third derivative of -i**7/105 - i**6/60 + i**5/5 + i**4/3 - 8*i**3/3 + 2*i**2 + 44. Factor z(x).
-2*(x - 2)*(x - 1)*(x + 2)**2
Let k be 0 - (-6 - -6)/(-1 + (1 - -1)). Determine d so that k + 0*d + 1/5*d**2 = 0.
0
Let a(z) be the first derivative of z**6/24 - z**5/4 - 3*z**4/16 + 17*z**3/12 - 5*z**2/4 - 17. Factor a(v).
v*(v - 5)*(v - 1)**2*(v + 2)/4
Let i be 5/60 - (-425)/2100. Let j be (-2)/(-6)*6/7. Determine b, given that -1/7*b**3 - j*b**2 + i + 1/7*b = 0.
-2, -1, 1
Let q be ((-20)/(-150))/(2/10). Suppose -q*c**2 - 2/3*c + 0 = 0. Calculate c.
-1, 0
Suppose 0 = t + z - 23, -2*z - 66 = 3*t - 5*t. Let n be 10/t + 4/(-48)*-6. Suppose 0*p - 8/7*p**3 - n*p**4 + 0 - 2/7*p**2 = 0. Calculate p.
-1, -1/3, 0
Let a(h) be the first derivative of 72*h**3 - 43*h**3 - 24*h - 33*h**2 + 4 - 34*h**3. Determine k so that a(k) = 0.
-4, -2/5
Let j(q) = -3*q + 80. Let p be j(25). Let o(x) be the first derivative of p*x**2 + 3 + 2*x + 25/6*x**3. Let o(a) = 0. Calculate a.
-2/5
Let a = -3551 - -24859/7. Factor 0*z + 0 - 2/7*z**4 + 2/7*z**2 + a*z**5 - 2/7*z**3.
2*z**2*(z - 1)**2*(z + 1)/7
Let m(x) be the second derivative of x**6/60 + x**5/20 - x**3/6 - x**2/4 - x + 5. Determine b, given that m(b) = 0.
-1, 1
Let g(k) be the first derivative of 4/15*k**3 + 4 + 1/5*k**2 + 0*k. Determine y, given that g(y) = 0.
-1/2, 0
Let p(m) = m**2 + 13*m - 16. Let r be p(-14). Let b be r/12 - (-7)/14. Let -1/6*q**2 - b + 1/2*q = 0. What is q?
1, 2
Suppose -5*s - z = -3*z - 13, 4*z - 4 = 0. Suppose -3*k - 26 = -5*r, 4*k + 16 = -s*r + 5*r. Factor 3*t + 0*t + 4*t**4 - 7*t**r + 3*t**2 - 3*t**3.
-3*t*(t - 1)*(t + 1)**2
Suppose 10*a = 2*a - 1352. Let m = 172 + a. Find p such that -7/2*p**2 + 3/4*p**m + 0 + 2*p = 0.
0, 2/3, 4
Let i(c) be the second derivative of 3/4*c**2 + 1/20*c**6 + 1/252*c**7 + 23/36*c**4 - 29*c + 1/4*c**5 + 0 + 11/12*c**3. Factor i(f).
(f + 1)**3*(f + 3)**2/6
Let o = 623 - 619. Factor 1/3*i**o + 1/3*i**5 + 0 + 0*i - 1/3*i**2 - 1/3*i**3.
i**2*(i - 1)*(i + 1)**2/3
Find t, given that -34 - t**2 - 4*t + 94 - 32 - 32 = 0.
-2
Let n be 3 - (1 - -2) - -60. Determine h, given that 46*h**3 - 9*h + 8*h**4 + n*h**2 - 12*h + 3*h = 0.
-3, 0, 1/4
Let y = -83364/7 - -11912. Factor -6/7*l**2 - 6/7 - y*l.
-2*(l + 3)*(3*l + 1)/7
Factor 150*y + 12790*y**2 + 12797*y**2 - 25590*y**2.
-3*y*(y - 50)
Let u(w) = -w**3 + 2*w**2 + 14*w - 1. Let f be u(-3). Determine h, given that -716*h**f + 348*h**2 + 15*h + 359*h**2 - 6 = 0.
2/3, 1
Let n(h) = 26*h**2 + 2*h + 4. Let x be -1*(-2 + 2) - -4. Let s be n(x). Factor 1058*d**3 - s*d**2 - 454*d**2 - 29*d**3 - 24 + 252*d.
3*(7*d - 2)**3
Let c(v) be the second derivative of -1/80*v**5 + 1/40*v**6 - 1/168*v**7 - 1/16*v**4 + 1/12*v**3 - 12*v + 0 + 0*v**2. Let c(s) = 0. Calculate s.
-1, 0, 1, 2
Let z = -69 - -72. Factor -20*k**2 - k**3 + 6*k**z + 30*k - 30*k.
5*k**2*(k - 4)
Suppose 14 + 210 = 72*b + 40*b. Let k = -1 - -1. Factor 15/4*q