 m(h).
-h*(h + 1)**3
Suppose 0 = 5*x - 5*w - 45, 4*x - 24 = 3*w + 8. Factor 2/11*c + 2/11*c**x + 8/11*c**4 + 8/11*c**2 + 12/11*c**3 + 0.
2*c*(c + 1)**4/11
Let q = -30 + 176. Let o = -144 + q. Factor 3/2 - 3/2*z**3 + 3/2*z - 3/2*z**o.
-3*(z - 1)*(z + 1)**2/2
Let s(k) be the second derivative of k**7/700 - 11*k**6/1800 - k**5/300 - 16*k**3/3 - 33*k. Let v(c) be the second derivative of s(c). Factor v(q).
q*(q - 2)*(6*q + 1)/5
Suppose -b = -0*j + j - 4, -3*j = -b - 16. Let t be b*(15/(-12) - -1). Factor t*k**2 + 0 - 1/2*k.
k*(k - 2)/4
Let z = -9040/3 - -3014. Factor w**2 - z*w + 0 + w**4 + 8/3*w**3.
w*(w + 1)*(w + 2)*(3*w - 1)/3
Let p(c) = 171*c**3 + 115*c**2 - 46*c + 4. Let v(w) = 856*w**3 + 574*w**2 - 229*w + 20. Let o(q) = 33*p(q) - 6*v(q). Solve o(z) = 0 for z.
-1, 2/13
Find q, given that 1/2 + 19/4*q**2 - 21/4*q = 0.
2/19, 1
Let 2/3*m**3 - 4/3 - 2/3*m + 4/3*m**2 = 0. What is m?
-2, -1, 1
Let p(a) be the second derivative of a**7/14 - 23*a**6/15 + 47*a**5/10 - 3*a**4 - 41*a**3/6 + 13*a**2 - 2*a + 12. Determine g so that p(g) = 0.
-2/3, 1, 13
Let u(x) be the third derivative of -x**5/12 + 95*x**4/8 - 140*x**3/3 - 267*x**2. Determine c, given that u(c) = 0.
1, 56
Let i(h) = h**5 - h**4 + 1. Let w(n) = 3*n**5 + 2*n**4 - 3*n**3 - 14*n**2 - 8*n + 2. Let s(j) = -6*i(j) + 3*w(j). Factor s(a).
3*a*(a - 2)*(a + 1)**2*(a + 4)
Let p = -1884 - -13190/7. Find l, given that 0 - 10/7*l - p*l**2 = 0.
-5, 0
Suppose 5*r - 3*m = 14, 15 + 7 = 3*r + 5*m. What is j in 381 - 5*j**r + 6*j**2 - 5*j**3 - 381 - j**2 + 5*j**5 = 0?
-1, 0, 1
Let i(j) be the first derivative of 10*j**2 + 9 + 5/3*j**3 + 15*j. Factor i(b).
5*(b + 1)*(b + 3)
Solve 17/2*d**3 - 1/4*d**4 - 81 - 253/4*d**2 - 153*d = 0.
-1, 18
Let p(c) be the third derivative of -c**6/60 - c**5/6 - 7*c**4/12 - c**3 - c**2 + 120. Factor p(f).
-2*(f + 1)**2*(f + 3)
Let u = -29/2 - -89/6. Let i = -1053 - -1057. Determine o so that -1/3*o**i + 0 + 2/3*o + u*o**2 - 2/3*o**3 = 0.
-2, -1, 0, 1
Let m(a) be the first derivative of -3*a**2 + 3*a**3 + 0*a + 14 - 9/5*a**5 - 5/2*a**6 + 21/4*a**4. Suppose m(i) = 0. Calculate i.
-1, 0, 2/5, 1
Suppose -13*g - 4 = -30. Let l(o) be the second derivative of 0*o**g + 1/6*o**4 - 1/3*o**3 - 2*o + 0. Factor l(t).
2*t*(t - 1)
Let a(k) be the second derivative of 0 + 1/66*k**4 + 1/33*k**3 - 2/11*k**2 + 4*k. Find n such that a(n) = 0.
-2, 1
Let l(i) be the second derivative of -2*i**6/15 - 29*i**5 - 1776*i**4 - 3456*i**3 + 212*i - 1. Suppose l(q) = 0. What is q?
-72, -1, 0
Suppose 8 = -12*n - 16. Let l be (n/1)/(8/(-40)). Suppose -l*i**4 - 28/3*i**3 - 3*i**5 + 0 - 8/3*i**2 + 0*i = 0. Calculate i.
-2, -2/3, 0
Let m(i) be the first derivative of -5*i**3/3 - 8*i**2 + 21*i + 6. Let p(a) = 10*a**2 + 31*a - 41. Let o(t) = 11*m(t) + 6*p(t). Suppose o(c) = 0. What is c?
-3, 1
Let k(b) = b - 33. Let l be k(29). Let j be l + (-66)/(-15) + 4 - 2. Solve -4*i - 2/5*i**4 - 6/5 - 24/5*i**2 - j*i**3 = 0.
-3, -1
Find l such that l**2 - 4 + 63/4*l = 0.
-16, 1/4
Let v(q) = -3*q**3 - 30. Let k(f) = 16*f**3 + 151. Let s(g) = -2*k(g) - 11*v(g). Let i(j) be the first derivative of s(j). What is p in i(p) = 0?
0
Let y = -8728 + 8730. Factor 5/2*r + 0 - 5/2*r**3 + 0*r**y.
-5*r*(r - 1)*(r + 1)/2
Let c(y) be the third derivative of -y**6/30 + 3*y**5/5 + 7*y**4/2 - 490*y**3/3 + y**2 + 227*y. Solve c(m) = 0 for m.
-5, 7
Let y(w) = 6*w**2 - 31*w + 35. Let g(k) be the second derivative of k**4/4 - 8*k**3/3 + 17*k**2/2 + 27*k + 1. Let z(i) = -5*g(i) + 2*y(i). Factor z(n).
-3*(n - 5)*(n - 1)
Let m(q) be the second derivative of q**7/315 - 2*q**6/45 + 16*q**5/75 - 19*q**4/45 + q**3/3 + 444*q. Determine k, given that m(k) = 0.
0, 1, 3, 5
Let p(o) be the first derivative of 2*o**3/51 - 46*o**2/17 + 176*o/17 - 560. Factor p(b).
2*(b - 44)*(b - 2)/17
Let i(v) be the second derivative of -3/8*v**3 + 1/8*v**4 + 0 + 3/40*v**5 + 1/56*v**7 + 6*v - 3/40*v**6 + 3/8*v**2. Find j such that i(j) = 0.
-1, 1
Let c be (-170)/14 - (4 + 0)/(-28). Let k be (c/12)/(1/(-3)). Factor 0*z + 3*z**2 + 0 + 3/2*z**k.
3*z**2*(z + 2)/2
Let w(r) = -r**2 + 852*r + 3427. Let x be w(-4). Find t, given that 0*t**2 + 0 + 0*t + 3/7*t**5 + 9/7*t**4 + 6/7*t**x = 0.
-2, -1, 0
Factor 96*l**2 + 44*l**2 + 4*l**4 + 63*l - 259*l + 52*l**3.
4*l*(l - 1)*(l + 7)**2
Let h(i) be the third derivative of i**5/20 - 9*i**4/2 + 162*i**3 - 13*i**2 + 3*i. Determine t so that h(t) = 0.
18
Let v(g) = g**3 - 5*g**2 + 4*g + 3. Let n be v(4). Factor 120*y**2 - 12*y**3 - 20 - 18*y**n - 62*y - 13*y + 5*y**3.
-5*(y - 4)*(y - 1)*(5*y + 1)
Let t be (-19)/(-228) - (-4)/80. Let q(g) be the first derivative of 1/5*g**2 + 0*g - 1/10*g**4 - t*g**3 - 4 + 2/25*g**5. Solve q(j) = 0.
-1, 0, 1
Factor -5*w**2 + 0 + 1/4*w**3 + 0*w.
w**2*(w - 20)/4
Let f(v) be the third derivative of v**5/80 + 37*v**4/32 + 9*v**3/2 - 160*v**2. Find q such that f(q) = 0.
-36, -1
Let u = -173/68 + 1137/340. Let -576/5*c**2 - 96/5*c - u = 0. What is c?
-1/12
Let i(z) = 2 + 14*z**3 - 15*z**3 + 5 - 2 + 4*z - 2*z**2. Let f be i(0). Let 4/5*r**f + 4/5*r + 1/5 - 2/5*r**2 - 8/5*r**3 + 1/5*r**4 = 0. Calculate r.
-1, -1/4, 1
Suppose -4*q = -5*f - 6 - 34, 5*q + 73 = -4*f. Let a be (-2)/((f/(-5))/(-6)). Factor -4*w**3 + 4*w + 5*w**3 + 2 - 2*w**4 - a*w**3.
-2*(w - 1)*(w + 1)**3
Let g be 378/868 + 6 + (-920)/155. Determine r so that 0*r + 0 + 1/2*r**3 - g*r**4 + r**2 = 0.
-1, 0, 2
Let r be 3/(-5) + (-72)/(-20) - -127. Let l = -129 + r. Factor 0*d**2 + 1/2*d**3 + l - 3/2*d.
(d - 1)**2*(d + 2)/2
Let h(c) be the second derivative of c**2 + 1/2*c**3 + 7*c + 5/8*c**4 + 0 + 1/5*c**5. Let x(r) be the first derivative of h(r). Factor x(p).
3*(p + 1)*(4*p + 1)
Let r(z) = -2*z**2 - 44*z + 3. Let f(i) = -4*i**2 - 44*i + 4. Let t(b) = 3*f(b) - 4*r(b). Find w such that t(w) = 0.
0, 11
Solve 216/5*r + 5832/5 + 2/5*r**2 = 0.
-54
Factor 2*f**3 + f**2 + 1/2*f**5 + 1 - 5/2*f - 2*f**4.
(f - 2)*(f - 1)**3*(f + 1)/2
Suppose -15*q + 6 = -13*q. Let j(p) be the first derivative of 1/2*p**2 - 1/2*p - 1/6*p**q - 6. Factor j(s).
-(s - 1)**2/2
Let t(b) be the first derivative of 12 + 1/4*b**2 + 1/6*b**3 + 0*b. Determine l, given that t(l) = 0.
-1, 0
Let u(d) be the third derivative of -2*d**7/105 + 23*d**6/30 - 56*d**5/5 + 160*d**4/3 + 1024*d**3/3 - 62*d**2. Find i such that u(i) = 0.
-1, 8
Let t(y) be the second derivative of y**5/20 - 3*y**4/8 + y**3 - 21*y**2 - y - 1. Let u(k) be the first derivative of t(k). Solve u(m) = 0.
1, 2
Let m(q) = -q**2 - 67*q + 2. Let n be m(0). Factor 4/3*d - 1/3 + 4/3*d**3 - n*d**2 - 1/3*d**4.
-(d - 1)**4/3
Factor 2/5*i**3 + 6/5 + 2*i**2 + 14/5*i.
2*(i + 1)**2*(i + 3)/5
Let h(n) be the second derivative of -13*n**4/54 + 167*n**3/27 + 26*n**2/9 - 26*n + 2. Suppose h(d) = 0. Calculate d.
-2/13, 13
Let k = 164/55 - 14/5. Let a = 37710/11 - 3428. Factor 0 + k*z**3 + a*z - 4/11*z**2.
2*z*(z - 1)**2/11
Let n(i) be the second derivative of i**4/66 - 4*i**3/33 + 3*i**2/11 + 28*i. Factor n(p).
2*(p - 3)*(p - 1)/11
Let c(m) be the second derivative of 0 - 8/3*m**3 + 1/3*m**4 + 17*m + 8*m**2. Suppose c(i) = 0. What is i?
2
Suppose -52*i + 3*i + i**2 - 6*i = 0. Calculate i.
0, 55
Let l(v) = -11*v - 82. Let d be l(-10). Let u be 48/d*(-28)/(-88). Factor 0 - 2/11*w**2 - u*w**3 - 4/11*w**4 + 0*w.
-2*w**2*(w + 1)*(2*w + 1)/11
Let r(l) be the third derivative of l**7/42 - l**6/6 + l**5/6 + 5*l**4/6 - 5*l**3/2 - l**2 + 15. Factor r(i).
5*(i - 3)*(i - 1)**2*(i + 1)
Let v(a) be the third derivative of -a**9/7560 - a**8/3360 + a**7/1260 + a**6/360 - 5*a**4/24 + 9*a**2. Let j(f) be the second derivative of v(f). Factor j(k).
-2*k*(k - 1)*(k + 1)**2
Let i(c) be the third derivative of 0*c - 20/9*c**4 + 2/9*c**5 - 64/9*c**3 + 0 + 1/504*c**8 + 30*c**2 + 5/36*c**6 - 2/63*c**7. Factor i(u).
2*(u - 4)**3*(u + 1)**2/3
Suppose -32 - 8 = -20*b. Let t(q) be the first derivative of 7/18*q**4 + 2 + 4/9*q + 1/3*q**b - 8/9*q**3. Factor t(g).
2*(g - 1)**2*(7*g + 2)/9
Find c, given that -1/4*c**2 - 3/4*c**3 + 1/8*c**5 + 3/8 + 5/8*c - 1/8*c**4 = 0.
-1, 1, 3
Let r(c) = 4*c**3 + 2*c**2 - 6*c. Let m(h) = -16*h**3 - 9*h**2 + 27*h. Let p(d) = -2*m(d) - 9*r(d). Factor p(g).
-4*g**3
Let t(v) be the third derivative of v**5/105 + 131*v**4/21 + 34322*v**3/21 - 10*v**2 - 10*v. Factor t(d).
4*(d + 131)**2/7
Suppose m = 5*t + 6 + 3, 3*m = 2*t + 14. Let r be 3/m + 30/(-72). 