(h) = 0?
-4
Let p(l) be the first derivative of 2*l**3/3 - 19*l**2 + 36*l - 193. Factor p(c).
2*(c - 18)*(c - 1)
Let w = -253 + 255. Factor 0 - 2/9*c**w - 4/9*c.
-2*c*(c + 2)/9
Let u(y) be the third derivative of -4/3*y**5 + 21/10*y**7 + 21*y**2 + 0*y + 0*y**3 - 119/40*y**6 + 0 - 1/6*y**4. Factor u(n).
n*(n - 1)*(21*n + 2)**2
Let h(s) be the third derivative of s**5/270 + 71*s**4/54 + 5041*s**3/27 + 248*s**2. Factor h(n).
2*(n + 71)**2/9
Suppose 36 - 30 = 3*o. Determine y, given that -9*y**o + 6*y**2 - 3*y + 3*y**4 + 3*y = 0.
-1, 0, 1
Suppose -8*n + 0 + 0 + 3 + 5*n**2 - n**3 + 1 = 0. Calculate n.
1, 2
Let j(m) = 4*m - 20. Let h be j(6). Suppose p + 20 = 5*p - 4*q, -4*p - q = -5. Factor -h*b**2 - 16*b + 5*b**2 + 3*b**2 + p + 10.
4*(b - 3)*(b - 1)
Let k(y) be the second derivative of y**7/399 + y**6/285 - 3*y**5/95 - 2*y**4/57 + 8*y**3/57 + 76*y. Determine l so that k(l) = 0.
-2, 0, 1, 2
Suppose 0 = 2*t - 9 + 3. Let r be -16 - -23 - (-59)/(-9). Solve r*y**2 + 0 + 2/9*y**t + 0*y = 0.
-2, 0
Let l(r) be the third derivative of -r**5/90 - 25*r**4/6 - 625*r**3 - 3*r**2 - 12. Factor l(c).
-2*(c + 75)**2/3
Let z = -94/65 + 24/13. Let v be 152/190*(-30)/(-8). Factor 0 - 6/5*q - 4/5*q**2 + z*q**v.
2*q*(q - 3)*(q + 1)/5
Let i = 7 + -4. Find z, given that -2*z + 10*z + 8*z**2 - 2*z**i + 5*z**3 - z**3 = 0.
-2, 0
Let b(v) be the first derivative of 314*v**3/39 + 159*v**2/13 + 4*v/13 - 145. What is n in b(n) = 0?
-1, -2/157
Factor -3/5*f - 7/5*f**3 - 12/5*f**2 + 2/5.
-(f + 1)**2*(7*f - 2)/5
Let i(w) be the first derivative of -w**3/12 + 35*w**2/4 + 71*w/4 + 142. Find m such that i(m) = 0.
-1, 71
Let x = -14866 - -14870. Factor 0*f + 2/17*f**3 + 0*f**2 + 0 - 2/17*f**x.
-2*f**3*(f - 1)/17
Factor -2/15*i**4 - 94/5*i**2 - 52/15*i**3 + 728/15*i - 392/15.
-2*(i - 1)**2*(i + 14)**2/15
Let v = -2 - -4. Suppose 0 = -k - 0*k + v*t - 1, 0 = 5*k - 5*t - 5. Factor -8/13*q + 2/13*q**4 + 2/13 - 8/13*q**k + 12/13*q**2.
2*(q - 1)**4/13
Let c(y) be the third derivative of -1/4*y**4 + 0*y - 2/3*y**3 + 0 + 1/15*y**5 - 1/168*y**8 + 1/15*y**6 + 12*y**2 + 0*y**7. Factor c(t).
-2*(t - 2)*(t - 1)*(t + 1)**3
Suppose 3 = g - 4*d, -3*g - 4*d - 36 = 35. Let t be g/(-7) + 12/21. Factor 2/5*a**2 + 0 + 0*a - 8/5*a**t - 2*a**4.
-2*a**2*(a + 1)*(5*a - 1)/5
Suppose -3*u + 7 + 7 = 2*w, -u = 5*w - 22. Factor 3*a**2 - 3*a**2 + w - 4*a + a - a**2.
-(a - 1)*(a + 4)
Let b(v) be the third derivative of -v**7/420 + 3*v**6/40 + 13*v**5/40 + 5*v**4/12 - 880*v**2. Let b(f) = 0. What is f?
-1, 0, 20
Suppose 8*r = 26*r - 216. Factor 604*q - r - 584*q - 12 - 4*q**2.
-4*(q - 3)*(q - 2)
Let z(b) be the second derivative of b**4/2 - b**3/3 + 5*b. Let d(n) = -2*n**2 + n. Let c be 0 + (7 - -2) + -1. Let k(u) = c*d(u) + 3*z(u). Factor k(g).
2*g*(g + 1)
Suppose 41*y**2 - 21*y - 9*y**2 - 26*y**2 = 0. Calculate y.
0, 7/2
Let z(n) be the first derivative of n**7/7 + 3*n**6/10 - 9*n - 9. Let b(g) be the first derivative of z(g). Suppose b(q) = 0. Calculate q.
-3/2, 0
Let j be (-40)/15*(-54)/396. Solve -4/11*p - 4/11 + j*p**3 + 39/11*p**2 - 35/11*p**4 = 0 for p.
-1, -2/7, 2/5, 1
Let r(h) = 7*h**2 + h + 9. Let k(m) = 4*m**2 + 5. Let o(s) = 5*k(s) - 3*r(s). Suppose o(i) = 0. Calculate i.
-2, -1
Let b be ((-6)/9)/((-2)/((-30)/(-95))). Factor 0 - 2/19*r**3 + 0*r - b*r**2.
-2*r**2*(r + 1)/19
Let y(m) be the third derivative of -m**6/30 - m**5/3 - m**4 - m**2 + 96*m. Factor y(d).
-4*d*(d + 2)*(d + 3)
Let i be 32/8 - (0 - 0). Determine c, given that -6*c + 3*c + c**2 - 3*c - i*c**2 = 0.
-2, 0
Let s(h) be the third derivative of h**5/90 + 23*h**4/36 + 22*h**3/9 + 221*h**2. Determine n so that s(n) = 0.
-22, -1
Let u(n) = 3*n**2 + 46*n + 256. Let p(j) = -4*j**2 - 53*j - 256. Let z(i) = -2*p(i) - 3*u(i). Determine h, given that z(h) = 0.
-16
Let g(v) = -v**3 + 15*v**2 - 14*v + 2. Let l be g(14). Let q = -4 - -8. Find h, given that 4*h + l*h + 10 + 6 + q*h**2 + 10*h = 0.
-2
Suppose 0 = 4*h + 5*m + 12, -5*h + 24*m + 22 = 21*m. Factor -2/9 - 4/9*t - 2/9*t**h.
-2*(t + 1)**2/9
Let h be 6/2 - ((-7 - -7) + 1). Suppose h*d**3 - 8/13*d**4 - 30/13*d**2 + 14/13*d - 2/13 = 0. Calculate d.
1/4, 1
Let w be -4 - 3/((-3)/29). Factor 42*f + 15*f**2 - 7*f - w*f + 5*f**3.
5*f*(f + 1)*(f + 2)
Let h be (-3)/(-9) - 8/6. Let p(q) = -3*q**3 - q**2. Let f be p(h). Factor f*n**2 + 6*n**5 - 4*n**5 - 4*n + 6*n**3 + 4*n + 6*n**4.
2*n**2*(n + 1)**3
Find z, given that 0 + 0*z**2 + 36*z**3 + 8/3*z**4 - 4/3*z**5 - 144*z = 0.
-3, 0, 2, 6
Let z(i) be the first derivative of 2/7*i + 26/35*i**5 - 11/7*i**4 - 1/7*i**6 + 12/7*i**3 - i**2 - 9. Factor z(f).
-2*(f - 1)**4*(3*f - 1)/7
Let f be (-30)/72*-28 + -8. Let c(l) be the second derivative of 12/5*l**5 - l**2 - 5*l + 8/3*l**3 + 0 - 3/5*l**6 - f*l**4. What is u in c(u) = 0?
1/3, 1
Let r(t) = 11*t - 41. Let z be r(4). Factor 23 - 4*o**2 + 0 + 2*o**z - 11 - 10*o.
2*(o - 3)*(o - 1)*(o + 2)
Suppose -4*k - 4*m - 84 = -68, 2*k + 4*m + 16 = 0. Let g be (-1)/(-6)*34 - 3. Factor g*q**4 + 0 - 4/3*q**5 + 0*q**2 + 0*q + k*q**3.
-4*q**4*(q - 2)/3
Suppose 3*n + 4 = 2*x, 0 = -3*n + 2*n. Suppose -48 = -5*t - 38. Suppose -49*z**2 + 51*z**t + 0*z + x*z = 0. What is z?
-1, 0
Let j(u) = -30. Let r(z) = z**2 - z + 34. Let c(w) = -6*j(w) - 5*r(w). Suppose c(x) = 0. Calculate x.
-1, 2
Suppose 5*n - 17*n = -8*n. Let l = 17/9 + -14/9. Factor 0*o - l*o**2 + n.
-o**2/3
Let l = 26 - 10. What is p in -4*p - 3*p**4 - l*p**2 + 258 - 11*p**4 - 258 - 23*p**3 - 3*p**5 = 0?
-2, -1, -2/3, 0
Let m(h) = h**3 + 14*h**2 - 3*h - 42. Suppose -4*a = -5*f - 50, -3*f - 32 = 3*a - 5*a. Let s be m(f). Factor -2/9*q**3 - 8/9 + 2/3*q**2 + s*q.
-2*(q - 2)**2*(q + 1)/9
Suppose -3*z - 10 = -16. Find u, given that 10*u**2 + 22*u**4 - z*u - 20*u**4 - 8*u**3 - 2*u = 0.
0, 1, 2
Suppose 42 + 391*v + 85*v**2 - 217 - 5*v**3 - 706*v - 230 = 0. What is v?
-1, 9
Let b = -72 - -78. Find s such that -b + 48*s**3 - 7 + 3 - 20*s**2 - 25*s - 53*s**3 = 0.
-2, -1
Let p(c) be the third derivative of c**5/45 + 22*c**4/9 + 968*c**3/9 - 20*c**2. Factor p(k).
4*(k + 22)**2/3
Let q(w) = -6*w**2 - 98*w - 7. Let s(b) = -5*b**2 - 90*b - 6. Let u(h) = -6*q(h) + 7*s(h). Factor u(x).
x*(x - 42)
Let t(p) be the second derivative of 0 + 12*p**3 + 27/4*p**4 + 8*p**2 - 38*p. Determine k so that t(k) = 0.
-4/9
Let l(s) be the first derivative of -15*s**2 + 30 + 0*s + 5/3*s**3. Factor l(n).
5*n*(n - 6)
Factor 10*y**3 + 0*y**3 + 39*y**4 + 4*y**2 + 2*y**3 - 55*y**4.
-4*y**2*(y - 1)*(4*y + 1)
Let i(n) = 2*n**2 + 48*n + 166. Let p(c) = 4. Let s(w) = i(w) + 6*p(w). Find y, given that s(y) = 0.
-19, -5
Determine m, given that m**3 + 5/2*m**2 + 0 + m = 0.
-2, -1/2, 0
Let w(c) be the third derivative of 45*c**2 + 23/50*c**5 - 1/560*c**8 + 5/2*c**3 + 0 - 13/8*c**4 + 1/100*c**6 + 0*c - 1/50*c**7. Suppose w(l) = 0. Calculate l.
-5, 1
Let k(u) be the second derivative of 1/147*u**7 + 5/21*u**3 + 5/21*u**4 + 1/7*u**5 + 1/21*u**6 + 0 + 1/7*u**2 + 2*u. Suppose k(a) = 0. What is a?
-1
Factor -3/8*m**2 - 3/4*m + 9.
-3*(m - 4)*(m + 6)/8
Let k(j) be the first derivative of j**5/270 + 5*j**4/108 - 2*j**2 + 25. Let i(l) be the second derivative of k(l). Factor i(c).
2*c*(c + 5)/9
Let l = -92016/19 - -4844. Let x = -6/283 - -1246/5377. What is p in -2/19*p - 16/19*p**4 - x + l*p**2 - 8/19*p**3 + 10/19*p**5 = 0?
-1, -2/5, 1
Let a be 1*-5*10/5. Let d = -8 - a. Solve -d*r + 4*r**2 - 2 - 2 - 2*r - 6*r + 10*r**3 = 0.
-1, -2/5, 1
Suppose 20 = 146*m - 141*m. Let o(c) be the third derivative of 0*c**3 + 1/45*c**5 + 0 + 0*c + 5*c**2 + 0*c**m - 1/180*c**6. Find x, given that o(x) = 0.
0, 2
Suppose -3*g = -3*x + 6, -5*g - x = -40 + 20. Factor 2/5*p**g + 0 + 0*p**2 - 2/5*p.
2*p*(p - 1)*(p + 1)/5
Let j(a) = -a**3 + 3*a + 1. Let n be j(-2). Let m(o) = -o**2 + 22*o - 94. Let r be m(7). Factor -4*l**2 - 8*l**4 - n*l**5 + r*l**4 + 4*l**5.
l**2*(l - 1)*(l + 2)**2
Let k be ((-5)/(10/(-4)))/1. Suppose 14 + 9 = 5*b + 8. Determine u so that -14/9*u**2 + 2/9*u**b - k + 10/3*u = 0.
1, 3
Let r(s) be the first derivative of -130*s**2 - 120*s + 730/3*s**3 - 10/3*s**6 - 555/4*s**4 + 21 + 35*s**5. Find z such that r(z) = 0.
-1/4, 2, 3
Factor 10*t + 3*t**2 + 157 - 142 - 8*t**2.
-5*(t - 3)*(t + 1)
Let s = 1/653 + 651/1306. Let l(u) be the second derivative of 5*u + 0 + s*u**2 - 1/3*u**3 + 1/12*u**4. Determine r, given that l(r) = 0.
1
Suppose 2/5*q