irst derivative of s(h). Factor c(f).
-4*f*(f + 2)
Let z = -55 - -57. Find p, given that -p**2 + 2*p**2 + 6*p + 0*p + z*p**2 = 0.
-2, 0
Let s be ((-33)/(-231))/(5/150). What is j in 3/7*j**5 + 15/7*j - 3/7 - 15/7*j**4 - 30/7*j**2 + s*j**3 = 0?
1
Let y(b) be the first derivative of -1/2*b**4 + 0*b**2 - 13 + 0*b + 2*b**3. Factor y(q).
-2*q**2*(q - 3)
Let c be (1 + 6/9)*3. Suppose -2*v + 3 + c = -5*h, -v - h = -4. Suppose 4*n**4 - 4*n**4 - 2 + 4*n**2 - 4*n**v + 2*n**4 = 0. What is n?
-1, 1
Suppose -13*u + 16*u = -w + 79, -5*u = -2*w + 202. Suppose 0 = -4*f + 3*f + 4. Let -96*b**3 + 123*b**2 - w*b**5 - 9*b**5 - 107*b**2 + 180*b**f = 0. Calculate b.
0, 2/5, 1
Let -6218 + w**2 + 0*w**2 - 15*w + 6254 = 0. Calculate w.
3, 12
Let b(j) be the first derivative of -j**3/24 + 23*j**2/8 - 37. Determine v so that b(v) = 0.
0, 46
Factor 28*k**2 + 3*k + 16*k**3 + 0*k**2 + 12 - 51*k - 8*k.
4*(k - 1)*(k + 3)*(4*k - 1)
Let t(x) = -2*x**2 - x. Let d(f) = -5*f**2 - 149*f + 5329. Let u(p) = -d(p) + 3*t(p). Solve u(a) = 0 for a.
73
Let w be (-525)/(-20) + (-2)/8. Suppose 4*c - 6*c + w = 0. Solve c*g**2 - g - 2 - 14*g**2 - 2*g = 0.
-2, -1
Let m(n) be the second derivative of -n**6/240 - 9*n**5/160 - n**4/32 + 37*n**3/48 - 3*n**2/2 + 286*n. Determine z, given that m(z) = 0.
-8, -3, 1
Let s(o) = -o**2 + 33*o + 156. Let u(w) = -2*w**2 + 32*w + 154. Let z(b) = 4*s(b) - 3*u(b). Factor z(i).
2*(i + 9)**2
Let w(s) be the first derivative of -s**5 + 10*s**4 - 35*s**3 + 55*s**2 - 40*s + 7. Let w(k) = 0. Calculate k.
1, 2, 4
Let t be 324/135 + 0/3. Let a(f) be the first derivative of 7 + 0*f - 16/3*f**3 + t*f**5 + 4*f**4 + 0*f**2. Factor a(q).
4*q**2*(q + 2)*(3*q - 2)
Factor 15038*t**5 - 2*t**4 + 4*t**4 - 15039*t**5 - t**3.
-t**3*(t - 1)**2
Let p(i) be the third derivative of i**7/1365 - 19*i**6/780 + 7*i**5/78 - 17*i**4/156 - 91*i**2. Factor p(w).
2*w*(w - 17)*(w - 1)**2/13
Let x(n) be the second derivative of -2/21*n**7 - 12/5*n**5 - 10/3*n**4 + 0*n**2 + 0 - 2*n**3 - 4/5*n**6 + 22*n. Factor x(u).
-4*u*(u + 1)**3*(u + 3)
Let j(q) be the second derivative of -3*q**5/40 + 49*q**4/24 - 61*q**3/12 + 15*q**2/4 - 17*q + 2. Let j(a) = 0. Calculate a.
1/3, 1, 15
Let f(t) be the first derivative of -3*t**4/4 + t**3 + 3*t**2/2 - 3*t + 407. Factor f(d).
-3*(d - 1)**2*(d + 1)
Suppose 700 = 117*d + 232. Let 4/11*h**3 - 4/11*h + 2/11*h**d - 2/11*h**2 + 0 = 0. What is h?
-2, -1, 0, 1
Factor 2/3*b**4 + 4/3*b**3 - 2/3*b**2 + 0 - 4/3*b.
2*b*(b - 1)*(b + 1)*(b + 2)/3
Let x(p) be the third derivative of p**9/151200 + p**8/25200 + p**5/5 - 6*p**2. Let b(t) be the third derivative of x(t). Factor b(u).
2*u**2*(u + 2)/5
Determine p, given that -4*p**3 + 44*p + 7*p**2 - 13*p**2 - 7*p**2 - 3*p**2 - 7 - 17 = 0.
-6, 1
Suppose -2*w + 2*p + 9 = -3, 10 = w - 3*p. Let -204*d**3 + 45*d**2 - 137*d**2 - 64*d**5 + 43*d**2 - 4*d - 304*d**w = 0. What is d?
-4, -1/4, 0
Let o be 0 - 1*4/(-26). Let c be (-18 - -34) + (2 - 42/3). Factor 0*w + 0 + o*w**5 - 2/13*w**3 + 2/13*w**2 - 2/13*w**c.
2*w**2*(w - 1)**2*(w + 1)/13
Let f(v) be the first derivative of v**4/12 + 17*v**3/9 - 37*v**2/6 + 19*v/3 + 283. Determine z, given that f(z) = 0.
-19, 1
Let j(m) be the second derivative of -m**6/6 + 19*m**5/4 - 175*m**4/4 + 245*m**3/6 + 1715*m**2 - 26*m. Let j(g) = 0. Calculate g.
-2, 7
Let c(i) be the first derivative of -i**5/5 - 5*i**4/2 + 11*i**3/3 - 67. Factor c(q).
-q**2*(q - 1)*(q + 11)
Suppose -1 = -2*s - 5*b - 0, -3*b = 2*s - 3. Let k(v) = -3878*v + 31026. Let d be k(8). Factor -8/11*u + 8/11 - 2/11*u**d + 2/11*u**s.
2*(u - 2)*(u - 1)*(u + 2)/11
Let k(z) = -7*z - 4. Let l be k(-1). Factor -y + 10*y**2 - 5*y**4 + 21*y**l - 26*y**3 + y.
-5*y**2*(y - 1)*(y + 2)
Let i = 0 - -2. Suppose -z = 4*z - 10. Let 12*p**i + 4*p - 6*p - z*p**3 + 0*p**3 - 32*p**5 - 48*p**4 = 0. Calculate p.
-1, 0, 1/4
Determine s so that 5926176 + 342*s**2 - 1/2*s**3 - 77976*s = 0.
228
Let m(i) be the second derivative of 0 + 4/165*i**6 + 0*i**4 + 0*i**3 + 1/110*i**5 + 0*i**2 + 6*i + 1/77*i**7. Solve m(r) = 0.
-1, -1/3, 0
Let c be (-330)/(-27) - (-4)/(-18). Let r = c - 10. What is x in 5*x**4 - x**r + 4*x**3 + 3*x + 8 - 5*x**2 - 3*x**4 - 11*x = 0?
-2, 1
Let i(x) be the third derivative of x**6/40 + 14*x**5/5 + 837*x**4/8 + 729*x**3 - 130*x**2. Factor i(c).
3*(c + 2)*(c + 27)**2
Suppose -2*t + 2*q + 6 = 0, 19 = -4*t - 3*q + 3. Let x be t + 1 + 1*(-9)/(-6). Factor -x*f**2 + 1/2*f**4 - f + 0*f**3 + 0.
f*(f - 2)*(f + 1)**2/2
Suppose -4 = -2*u - 0. Let r be -5 - 165/(-35) - 2/(-7). Suppose -j + 5/2*j**3 + r - 3/2*j**u = 0. Calculate j.
-2/5, 0, 1
Let x = 163/644 - -3/92. Let z = -35/172 + 933/1204. Factor -x*v + z - 2/7*v**2.
-2*(v - 1)*(v + 2)/7
Factor -1/2 - 7/6*m - 5/6*m**2 - 1/6*m**3.
-(m + 1)**2*(m + 3)/6
Let -24*g**3 + 39*g**2 - 14348*g**4 + 14352*g**4 - 3*g**2 = 0. What is g?
0, 3
Let 0*j + j**3 + 3*j**4 + 0 + 0*j**2 + 9/4*j**5 = 0. Calculate j.
-2/3, 0
Let a(b) be the second derivative of -b**7/630 - b**6/180 + 11*b**2/2 + 15*b. Let l(z) be the first derivative of a(z). Factor l(o).
-o**3*(o + 2)/3
Suppose 29*d = -39*d + 126 + 10. Determine v so that 4/5*v**3 + 8/5*v + 0 + 12/5*v**d = 0.
-2, -1, 0
Let r be 20/(-15) - -2 - 100/42. Let t = r + 45/14. Factor 0*c**3 + 0*c + 0*c**2 + 0 + t*c**4.
3*c**4/2
Let h(k) = k**2 + 3*k - 1. Let t(b) = -7*b**2 + 224*b + 237. Let x(i) = -2*h(i) - t(i). Factor x(o).
5*(o - 47)*(o + 1)
Let z(w) be the first derivative of 3*w**4/20 + 23*w**3/5 - 156*w**2/5 + 324*w/5 - 518. Let z(o) = 0. What is o?
-27, 2
Let v(c) be the second derivative of -55*c**7/126 + 43*c**6/9 - 79*c**5/4 + 655*c**4/18 - 190*c**3/9 - 20*c**2 - 111*c. Determine j so that v(j) = 0.
-2/11, 1, 2, 3
Let s(y) = 40*y - 797. Let l be s(20). Factor -3/5*v**l + 1 - 21/5*v + 19/5*v**2.
-(v - 5)*(v - 1)*(3*v - 1)/5
Suppose -1/2*q**2 + 0 - 1/6*q**3 - 1/3*q = 0. Calculate q.
-2, -1, 0
Suppose 2*v - 4*f - 30 = 0, 0 = 3*v - f - 1 - 19. Factor -o**v - 34*o**2 + 2*o + 17*o**2 - o**3 + 14*o**2 + 3*o**4.
-o*(o - 2)*(o - 1)**2*(o + 1)
Let b(z) be the third derivative of 0*z + 0 - 1/150*z**5 + 0*z**3 - 34*z**2 - 1/120*z**4 - 1/600*z**6. Factor b(s).
-s*(s + 1)**2/5
Let g(j) be the second derivative of 0*j**2 - 1/42*j**7 + 0*j**4 + 0*j**5 + 0*j**3 + 8*j + 1/30*j**6 + 0. Find p such that g(p) = 0.
0, 1
Let 5*v**3 + 7/3*v**2 + 4/3*v**4 - 11/3 - 5*v = 0. Calculate v.
-11/4, -1, 1
Let j(i) be the third derivative of i**8/1176 + i**7/735 - i**6/210 - i**5/105 + i**4/84 + i**3/21 - 60*i**2. Find g such that j(g) = 0.
-1, 1
Let k(i) be the second derivative of -i**7/504 - i**6/144 - i**4/12 - 12*i. Let m(t) be the third derivative of k(t). Factor m(g).
-5*g*(g + 1)
Factor 2/5*d**4 + 6/5*d - 6/5*d**3 + 0 - 2/5*d**2.
2*d*(d - 3)*(d - 1)*(d + 1)/5
Let c = -5210/7 + 41029/56. Let t = -603/56 - c. Let -10/7*b + t + 2/7*b**2 + 2/7*b**3 = 0. Calculate b.
-3, 1
Let s(t) = -t**2 + 18*t + 42. Let j(l) = -2*l**2 + 35*l + 83. Let q(r) = -2*j(r) + 5*s(r). Factor q(z).
-(z - 22)*(z + 2)
Let d(g) be the second derivative of -g**6/480 + g**5/60 + 5*g**4/96 - 9*g**2/2 - 7*g. Let t(b) be the first derivative of d(b). Factor t(p).
-p*(p - 5)*(p + 1)/4
Let f be 16/6*34/(-136)*-3. Determine d so that -16*d**f - 8*d**4 + 0 + 4/3*d**5 + 52/3*d**3 + 16/3*d = 0.
0, 1, 2
Suppose 2*n - 11*a + 7*a = 24, 5*a = -10. Let w be n/24*24/7. Factor -2/7*f**2 - w - 10/7*f.
-2*(f + 1)*(f + 4)/7
Let x(o) be the second derivative of -o**5/70 - 2*o**4/21 + 4*o**3/3 - 32*o**2/7 - 2*o - 21. What is a in x(a) = 0?
-8, 2
Suppose 50 = -3*t + 28*t. Let u(k) be the first derivative of -4 + 2/5*k**t + 4/5*k + 1/15*k**3. Determine n, given that u(n) = 0.
-2
Let j = -43 + 46. Suppose 4*a**3 + 2*a - 27*a**3 + 12*a**j + 13*a**3 + 4*a**2 = 0. Calculate a.
-1, 0
Let r(n) be the third derivative of 5*n**6/36 - 7*n**5/60 - 3*n**4/8 - n**3/9 + 329*n**2. Solve r(h) = 0.
-1/2, -2/25, 1
Suppose -24/11 - 14/11*z**2 + 8*z = 0. What is z?
2/7, 6
Suppose -10 = -3*p + p. Let w = -253/108 + 70/27. Determine c, given that 0*c + 1/4*c**4 + w*c**p + 0 - 1/4*c**3 - 1/4*c**2 = 0.
-1, 0, 1
Let c(n) be the third derivative of -n**5/100 + 11*n**4/40 + 2*n**2 - 5. Solve c(a) = 0.
0, 11
Let g(b) = -b**2 - 23*b - 114. Let p be g(-13). Let o be ((-6)/3)/((-8)/p). Factor -1/4*a**o + a**3 - 3/4*a**2 - a + 1.
-(a - 2)**2*(a - 1)*(a + 1)/4
Let w be ((-10