Solve w(a) = 0 for a.
-2, 0, 1
Let w(k) be the second derivative of -k**4/48 - k**3/12 + 3*k**2 + 8*k - 25. Let w(n) = 0. Calculate n.
-6, 4
Let k = 9751/4065 - -1/813. Let -k*r + 9/5 + 3/5*r**2 = 0. What is r?
1, 3
Find i, given that 0 - 1/10*i**2 - 13/10*i = 0.
-13, 0
Let c(u) = 2*u**3 - 13*u**2 + 5*u + 8. Let l be c(6). Let 61*f**2 + 20*f - 4*f**4 - f**3 + 8 - 49*f**l - 3*f**3 = 0. Calculate f.
-1, 2
Factor 22/3*q - 15*q**2 + 0 + 2/3*q**3.
q*(q - 22)*(2*q - 1)/3
Let m(v) be the second derivative of -v**6/15 + 332*v**5/5 - 27556*v**4 + 18297184*v**3/3 - 759333136*v**2 - 587*v. Find k such that m(k) = 0.
166
Let f(c) be the third derivative of c**7/1575 + c**6/180 + c**5/150 - c**4/20 + 90*c**2. Factor f(p).
2*p*(p - 1)*(p + 3)**2/15
Suppose -4*a - 3 = 3*h + 7, -3*a - h - 5 = 0. Let u = a + 3. Factor -2*f**2 - f**2 - 6*f + 9 - f**u + 5*f**2.
(f - 3)**2
Let f(l) = l + 3. Suppose 2*d - 9 = 7. Let u be f(d). Find r such that 33*r**2 + 8*r**3 - 12 - 5*r**3 - u*r**5 + 6*r**3 + 2*r**5 - 21*r**4 = 0.
-2, -1, 2/3, 1
Suppose -12*n = -15*n + 9. Let u(d) be the first derivative of -8/3*d**n - 1 + d - 9/8*d**4 - 5/4*d**2. Determine v so that u(v) = 0.
-1, 2/9
Let x(b) = 2*b**2 + 17*b + 13. Let a be x(-8). Suppose 2*o + 0*o = -t + 10, 0 = a*t + 2*o - 10. Determine y, given that 1/4*y**2 + t*y - 1 = 0.
-2, 2
Let a(f) = 2*f**3 + f**2 - f + 1. Let c(h) = 7*h**3 + 18*h**2 - 39*h + 26. Let w(g) = 4*a(g) - c(g). Factor w(z).
(z - 11)*(z - 2)*(z - 1)
Let 13290*c + c**3 - 5*c**3 - 13291*c + 2*c**3 + 3*c**2 = 0. What is c?
0, 1/2, 1
Let j(o) be the third derivative of o**5/50 + 7*o**4/60 - 2*o**3/5 - 11*o**2 + 4. Factor j(x).
2*(x + 3)*(3*x - 2)/5
Let p(f) = f**3 + 12*f**2 - 16*f - 32. Let y be p(-13). Let 3*n + 9*n**2 + 0*n - y + 6 - 11 = 0. Calculate n.
-4/3, 1
Suppose 0 = 5*s + 4*r - 5*r + 59, 0 = 4*s - 4*r + 44. Let f = 15 + s. Determine h, given that 12*h + 9*h**3 - h**3 + 3*h**4 + 4*h**f + 1 + 2 + 18*h**2 = 0.
-1
Let k(p) = -2*p**2 - 6*p + 175. Let n(w) = -2*w**2 - 10*w + 174. Let v(g) = 6*k(g) - 7*n(g). Solve v(c) = 0 for c.
-21, 4
Let b be 1 + -2 + -6 + 5 + -38. Let c = b - -121/3. Suppose 0 + 0*a**2 - 1/6*a**5 + 0*a + c*a**4 - 1/6*a**3 = 0. Calculate a.
0, 1
Let m(o) be the first derivative of o**5/75 - 2*o**4/15 + 8*o**3/15 + 4*o**2 - 25. Let a(b) be the second derivative of m(b). Find i such that a(i) = 0.
2
Let r be 0 - (38/15 + -2). Let i = -1/30 - r. Factor 2*q**2 + i - 7/4*q - 3/4*q**3.
-(q - 1)**2*(3*q - 2)/4
Let x(s) = 2*s. Let q be x(0). Suppose -m - 91 + 93 = q. Find n, given that 0*n + 0 - 2/5*n**5 + 0*n**m + 0*n**4 + 2/5*n**3 = 0.
-1, 0, 1
Let n = 217/2120 - 1/424. Let j(r) be the second derivative of 0 + 3*r - 5/3*r**3 - 2/3*r**4 - n*r**5 - 2*r**2. Let j(p) = 0. What is p?
-2, -1
Let g(c) be the first derivative of c**4/4 + 32*c**3/9 + 10*c**2/3 + 31. Find l such that g(l) = 0.
-10, -2/3, 0
Let o(w) be the third derivative of -w**8/84 + 8*w**7/105 + 7*w**6/10 - 85*w**2. What is j in o(j) = 0?
-3, 0, 7
Let s(w) = 2*w**2 + 10*w - 14. Let i be s(-9). Find f, given that 60*f**4 + 75*f - 2 + 233*f**3 + 19 + 180*f**2 - i*f**3 - 7 = 0.
-1, -2/3, -1/4
Let w be (2 + (-46)/(-4))*104/12. Factor 86*c + 1370*c**2 + w*c + 405*c**4 + 1395*c**3 + 217*c + 40.
5*(c + 1)*(c + 2)*(9*c + 2)**2
Suppose -4*c - 5*b = -158, 0 = -c - 0*c - 5*b + 32. Suppose -5*z - z = -c. Let -7*h + z*h - 2*h + 3*h**2 - h**3 = 0. Calculate h.
0, 1, 2
Let q(x) = -45*x**2 - 14615*x - 1195385. Let z(l) = -5*l**2 - 1624*l - 132821. Let f(o) = 6*q(o) - 55*z(o). Find t, given that f(t) = 0.
-163
Factor 0 - 1/4*h**2 + 1/4*h.
-h*(h - 1)/4
Let u(m) = m**3 - 2*m**2 - 360*m + 2. Let x be u(20). Factor -12*k - 24 - 1/9*k**3 - x*k**2.
-(k + 6)**3/9
Let a(p) be the second derivative of -p**6/300 - 3*p**5/100 - p**4/24 + p**3/5 + 198*p. Let a(q) = 0. Calculate q.
-4, -3, 0, 1
Let y = -3/1171 - -2357/5855. Factor -4/5 + 0*k**2 + y*k**3 - 6/5*k.
2*(k - 2)*(k + 1)**2/5
Let a(t) be the second derivative of 27/100*t**6 - 107/30*t**4 + 13/5*t**3 - 4/5*t**2 + 0 + 207/200*t**5 + 2*t. Find g such that a(g) = 0.
-4, 2/9, 1
Let 1/3*p**3 + 16/3*p**2 - 19/3*p - 34/3 = 0. Calculate p.
-17, -1, 2
Let f(y) = -4*y**2 - 46*y. Let q(c) = 8*c**2 + 95*c. Let w(k) = 5*f(k) + 2*q(k). Suppose w(t) = 0. What is t?
-10, 0
Let b = 297/1220 + 2/305. Let g(x) be the second derivative of 0*x**2 + 0 - 9*x + 1/24*x**4 - b*x**3. Factor g(v).
v*(v - 3)/2
Let z(j) be the first derivative of -8*j**2 - 16*j + 4*j**4 + 4*j**3 - 3 + 4/5*j**5. Determine c so that z(c) = 0.
-2, -1, 1
Let l = 269/196 + 43/49. Factor -3/2 + 15/4*v + l*v**2.
3*(v + 2)*(3*v - 1)/4
Suppose -2 = 7*n - 16. Let i be n/(-10) - ((-505)/150 - -3). Determine h so that -i*h**2 - 1/2*h - 1/3 = 0.
-2, -1
Let k = -80/7 + 254/21. Factor -k*u**4 + 80/3*u - 22*u**2 + 20/3*u**3 - 32/3.
-2*(u - 4)**2*(u - 1)**2/3
Let f(a) be the second derivative of -3*a**6/10 + 34*a**5/15 - 14*a**4/3 - 16*a**3/3 - 9*a**2/2 - 12*a. Let t(r) be the first derivative of f(r). Factor t(i).
-4*(i - 2)**2*(9*i + 2)
Factor -123*h**2 + 104*h + 147*h - 11*h + 2 + 10 + 0.
-3*(h - 2)*(41*h + 2)
Suppose 0 = -30*s + 9*s. Let l(g) be the third derivative of 0*g + 8/3*g**3 - 2/3*g**4 + 1/15*g**5 + s + 11*g**2. Find p, given that l(p) = 0.
2
Determine x so that -9*x**3 - 3*x**4 + 168*x**2 - 90*x**2 - 84*x**2 = 0.
-2, -1, 0
Factor -12*u**4 + 16*u**4 + 129*u**3 - 125*u**3 - 4*u**2 - 4*u**5.
-4*u**2*(u - 1)**2*(u + 1)
Let b(i) be the first derivative of -i**4/12 - i**3/18 + i**2/3 + 6*i + 13. Let x(y) be the first derivative of b(y). Determine j, given that x(j) = 0.
-1, 2/3
Let z = 62 - 59. Let x(u) be the third derivative of -5*u**2 + 1/240*u**5 + 0 - 1/48*u**4 + 0*u**z + 0*u. Factor x(j).
j*(j - 2)/4
Let g(h) = -h**3 - 4*h**2 + 4*h - 5. Let w be g(-5). Suppose 0 = 9*s - 11*s + 4. Solve w*b + 4*b**2 + 2*b - 4 + 3*b**2 - 2*b**3 - 3*b**s = 0 for b.
-1, 1, 2
Let i(v) be the first derivative of 21*v**5/130 - 43*v**4/78 + 4*v**2/13 - 28*v + 4. Let w(m) be the first derivative of i(m). Find c such that w(c) = 0.
-2/7, 1/3, 2
Factor 64/3 - 64/3*p**2 - 2/3*p + 2/3*p**3.
2*(p - 32)*(p - 1)*(p + 1)/3
Let q(n) be the third derivative of 64*n**7/1155 - 4*n**6/165 + n**5/330 + 16*n**2 + 1. Solve q(c) = 0.
0, 1/8
Let b = 15 - 13. Let o(j) be the second derivative of 0 - 2/7*j**3 - 9/7*j**2 - 1/42*j**4 - b*j. Let o(f) = 0. What is f?
-3
Let p = 8391/1918 - -120/959. Let 27 - 21/2*w**2 + 3/2*w**4 + 45/2*w - p*w**3 = 0. What is w?
-2, -1, 3
Let a(t) be the third derivative of 1/448*t**8 + 0 + 1/8*t**4 - 1/32*t**6 + 1/16*t**5 - 1/2*t**3 - 14*t**2 + 0*t - 1/280*t**7. Suppose a(q) = 0. What is q?
-2, -1, 1, 2
Let q(i) be the first derivative of 2*i**3/3 - i**2 - 40*i + 52. Determine o so that q(o) = 0.
-4, 5
Let s(j) be the second derivative of j**4/54 - 5*j**3/27 - 2*j**2/3 + 96*j. Factor s(w).
2*(w - 6)*(w + 1)/9
Let y(a) be the first derivative of a**9/1008 - 3*a**7/280 - a**6/60 + 13*a**3/3 + 25. Let l(g) be the third derivative of y(g). Find x such that l(x) = 0.
-1, 0, 2
Let c(w) be the third derivative of 1/168*w**7 + 7/240*w**5 - 1/1344*w**8 - 1/48*w**4 - 3/160*w**6 + 0*w**3 + 0*w + 0 - 9*w**2. Suppose c(x) = 0. Calculate x.
0, 1, 2
Let n(z) be the first derivative of 9*z**4/50 + 148*z**3/75 + 32*z**2/5 + 64*z/25 + 215. Factor n(b).
2*(b + 4)**2*(9*b + 2)/25
Let n(k) be the second derivative of -1/40*k**5 - 1/8*k**4 + 5/12*k**3 - 5*k + 1/60*k**6 + 0 - 1/2*k**2. Factor n(q).
(q - 1)**3*(q + 2)/2
Let b(p) be the second derivative of -p**5/120 + p**4/3 - 4*p**3 + 4*p + 3. Determine z, given that b(z) = 0.
0, 12
Suppose -5*a - 2*r + 158 = 0, -3*a - 4*r - 22 = -128. Let u = -19 + a. Solve -3*x**3 + u*x - 11*x - 3*x**2 = 0.
-1, 0
Let j(k) be the third derivative of k**5/90 + k**4/9 + k**3/3 + 67*k**2 - 2*k. Let j(w) = 0. Calculate w.
-3, -1
Let z(s) = -s**3 - s + 2. Let q = -7 - -7. Let p be z(q). Factor -9*g - 6*g + 3 - 3*g**p + 12*g + 3*g**3.
3*(g - 1)**2*(g + 1)
Let v(r) be the third derivative of r**9/5040 - r**8/1120 - r**7/840 + r**6/120 + 23*r**4/24 + 2*r**2. Let l(i) be the second derivative of v(i). Factor l(f).
3*f*(f - 2)*(f - 1)*(f + 1)
Suppose -y = -6 + 4. Factor 6*i + 13*i**4 - 4 + 4*i**2 - 13*i**4 + y*i**5 - 8*i**3.
2*(i - 1)**3*(i + 1)*(i + 2)
Suppose -5*d + 48 = f, 3*f + 3*d = 64 + 44. Let v = f + -23. Fac