 h(k).
3*(k - 1)**3*(5*k - 2)/2
Let n(z) = -z**3 + 17*z**2 + 6*z - 3. Let i(w) = 7*w + 66. Let o be i(-10). Let p(c) = -c**3 + 17*c**2 + 8*c - 4. Let g(j) = o*n(j) + 3*p(j). Factor g(s).
s**2*(s - 17)
Suppose p = -0 + 2. Suppose 6*z - 28 = -c + z, 0 = 5*c - 3*z - 252. Factor -c*k - 11*k**p + 2*k**2 - 64 - k**3 - 3*k**2.
-(k + 4)**3
Suppose 4*k - 46 = -38. Factor 2*r**4 + 158*r**2 - 490*r**2 + 167*r**2 + 161*r**k + 2.
2*(r - 1)**2*(r + 1)**2
Let v(f) be the second derivative of -f**6/50 - 3*f**5/10 - 9*f**4/20 - 1135*f. Factor v(j).
-3*j**2*(j + 1)*(j + 9)/5
Let p(w) be the first derivative of w**5/12 + 5*w**4/3 + 35*w**3/6 - 47*w**2 - 114. Let z(i) be the second derivative of p(i). Solve z(a) = 0 for a.
-7, -1
Let m(n) be the first derivative of 11/30*n**4 + 2/5*n**3 + 0*n - 1/45*n**6 + 197 - 6/25*n**5 - 2/3*n**2. What is s in m(s) = 0?
-10, -1, 0, 1
Let z(u) be the third derivative of 4*u**7/105 - 7*u**6/30 - 28*u**5/15 - 2*u**4 - 1632*u**2. Factor z(q).
4*q*(q - 6)*(q + 2)*(2*q + 1)
Let u(x) be the second derivative of -x**4/4 - 221*x**3 + 4401*x. Find r, given that u(r) = 0.
-442, 0
Let h(b) be the second derivative of b**8/480 - 4*b**7/315 + b**6/90 - 5*b**4/2 + b**3/3 + 59*b. Let u(p) be the third derivative of h(p). Factor u(i).
2*i*(i - 2)*(7*i - 2)
Let j(f) be the first derivative of -f**5/20 - 16*f**4/9 - 14*f**3/9 - 103*f**2 + 216. Let g(i) be the second derivative of j(i). Factor g(p).
-(p + 14)*(9*p + 2)/3
Suppose 191 = 6*n + 179. Find q such that -1392*q + 695*q + 683*q + 4 + 5*q**3 - 17*q**2 - n + 6 = 0.
-1, 2/5, 4
Let x(a) be the first derivative of -1/10*a**5 - 219 - 73/4*a**4 - 1176*a**3 - 55223/2*a**2 + 117649/2*a. Suppose x(i) = 0. Calculate i.
-49, 1
Let b(z) be the first derivative of -z**6/6 - 7*z**5/4 + 15*z**4/2 + 67*z + 10. Let y(h) be the first derivative of b(h). Factor y(t).
-5*t**2*(t - 2)*(t + 9)
Find j such that 117/8*j**4 + 15/2 + 3/2*j**5 - 33/4*j**3 - 18*j - 375/8*j**2 = 0.
-10, -1, 1/4, 2
Let k(o) be the third derivative of -2/5*o**3 - 60*o + 0 - 2/105*o**7 + 1/150*o**6 + 8/75*o**5 - 2*o**2 + 1/60*o**4 - 1/280*o**8. Let k(f) = 0. Calculate f.
-3, -1, 2/3, 1
Let d(k) = -2*k**2 + k. Let b = -328 - -313. Let u(n) = 35*n**2 + 565*n + 16820. Let z(x) = b*d(x) - u(x). Factor z(w).
-5*(w + 58)**2
Let x(b) = -b**2 - 3*b + 138. Let f(c) = -c**2 - 5*c + 135. Let i(m) = 4*f(m) - 5*x(m). Let i(p) = 0. What is p?
-10, 15
Solve 0 + 2/13*j**2 + 1022/13*j = 0.
-511, 0
Let n be 44 + (-14 - (-1524)/(-51)). Factor 12/17*v**2 + 8/17 + n*v**3 + 18/17*v.
2*(v + 1)**2*(v + 4)/17
Let d(x) be the third derivative of x**5/90 + 13*x**4/9 + 676*x**3/9 - 2495*x**2. Suppose d(z) = 0. Calculate z.
-26
Suppose 0 = 4*r - 2*r - 8. Find a, given that -47*a**2 - 330*a**3 + 5 - 230*a**4 + 10*a + 5*a**r - 53*a**2 = 0.
-1, -1/3, 1/5
Suppose -2*z = -7*z. Let q be (4/148 - 0) + 137376/239760. Find h, given that z + 0*h + q*h**2 = 0.
0
Let q(b) be the third derivative of 0*b**3 + 2/45*b**5 - 95*b**2 + 1/60*b**6 - 1/3*b**4 + 0 - 1/315*b**7 + 0*b. What is z in q(z) = 0?
-2, 0, 2, 3
Let m(g) = 5000*g + 146. Let f be m(7). Find h such that 3*h**2 - 2*h**2 - f - 7*h + 35116 = 0.
-3, 10
Let f(t) be the third derivative of 2/5*t**3 - 34*t**2 - 1/150*t**5 + 0 - 1/12*t**4 + 0*t. Factor f(b).
-2*(b - 1)*(b + 6)/5
Let q be (-380)/(-285) + (-3)/(9/(-2)). Let u(t) be the second derivative of -5/6*t**3 - t**q + 1/6*t**4 - 14*t + 0 + 1/4*t**5. Determine s so that u(s) = 0.
-1, -2/5, 1
Let q(n) be the third derivative of 1/60*n**6 + 0*n**5 + 0*n**4 + 5 + 0*n**3 + 2*n**2 + 0*n. Find t such that q(t) = 0.
0
Let a be -5 + 2 + 1 + 4. Factor -10*l**2 - 9*l**a - 20*l + 2*l**3 - 16 - 15*l**2 + 32*l**2.
2*(l - 4)*(l + 1)*(l + 2)
Let u(q) be the first derivative of -38/7*q**2 + 2/21*q**3 + 65 + 722/7*q. Solve u(y) = 0 for y.
19
Suppose -3*a + 3*z = 6, -3*a - 1 = -0*a - 2*z. Suppose -3*p + 6*p = -a*j + 9, -j - 2 = -4*p. Find c such that -1/4*c**3 + 1/4*c + 1/4*c**j - 1/4 = 0.
-1, 1
Let t = 2507 - 2505. Let f(i) be the second derivative of -4*i + 0 + 1/27*i**3 - 1/54*i**4 - 1/90*i**5 + 1/9*i**t. Determine b so that f(b) = 0.
-1, 1
Let i(v) be the first derivative of 3/8*v**3 + 0*v - 3/32*v**4 - 3/8*v**2 - 41. Factor i(s).
-3*s*(s - 2)*(s - 1)/8
Let g(h) be the second derivative of 1/5*h**5 + 0*h**2 - 6*h + 32/15*h**3 - 14/5*h**4 - 9. Factor g(a).
4*a*(a - 8)*(5*a - 2)/5
Let u(r) = -3*r**2 - r + 7. Let a(x) = 6*x**2 - 1973*x + 324716. Let j(y) = -a(y) - u(y). Factor j(z).
-3*(z - 329)**2
Let v(d) be the first derivative of -d**5/18 + d**4/108 + 175*d**2/2 + 154. Let s(w) be the second derivative of v(w). Factor s(i).
-2*i*(15*i - 1)/9
Let j(s) = -9*s**2 - 492*s - 178. Let i(d) = -55*d**2 - 2952*d - 1087. Let b(t) = 6*i(t) - 39*j(t). Factor b(w).
3*(w + 70)*(7*w + 2)
Determine q so that 0 - 1/4*q**2 - 3/4*q = 0.
-3, 0
Suppose 0 = p + 4*c - 35, -5*p + 33*c - 35*c + 31 = 0. Factor -7/6*h**2 + 8/3*h + 1/6*h**p - 2.
(h - 3)*(h - 2)**2/6
Let c = -154885291/100401 + 5/33467. Let m = c - -1548. Factor 0 + m*j + 2/3*j**2.
2*j*(j + 8)/3
Suppose 136750*p = 4*g + 136748*p + 36, 64 = -g + 3*p. Solve -3/8*q**3 + 0 + 5/8*q**g + 0*q = 0.
0, 5/3
Let s = 2586841/6 - 431124. Determine p, given that 11/3 - 32/3*p**2 + 5/6*p**3 + s*p = 0.
-1/5, 2, 11
Let p(c) = -2*c**3 - 23*c**2 - 72*c - 32. Let k be p(-6). Let -h**4 + 22/3*h**3 - k - 55/3*h**2 + 52/3*h = 0. Calculate h.
1/3, 2, 3
Let b(f) = -f**4 + f**3 + 17*f**2 + f - 1. Let z(c) = 5*c**5 + 16*c**4 - 36*c**3 - 52*c**2 + 89*c - 39. Let k(a) = b(a) + z(a). Determine s so that k(s) = 0.
-4, -2, 1
What is i in 4/3*i**5 - 176/3 - 44/3*i**4 + 220/3*i**2 - 20/3*i**3 + 16/3*i = 0?
-2, -1, 1, 2, 11
Let d be 1*10*(63/14 - 4). Factor -55*g**2 - 16*g - 64*g**3 - 2*g**3 + d*g**3 - 25*g**2 - 39*g**3.
-4*g*(5*g + 2)**2
Suppose -12*g - 40 = -16. Let r be 49 + g/(-6)*(4 + -7). Let -24*v**2 - 128*v**3 + 100*v + r*v**4 - 3 + 0 + 28*v**5 - 21 = 0. What is v?
-3, -1, 2/7, 1
Let n(y) be the second derivative of y**4/28 + 1709*y**3/7 + 8762043*y**2/14 + 1068*y. Find a, given that n(a) = 0.
-1709
Let l(s) be the first derivative of 2*s**5/15 + 17*s**4/6 - 2*s**3/9 - 17*s**2/3 + 12128. Factor l(k).
2*k*(k - 1)*(k + 1)*(k + 17)/3
Let t be (((-144)/30)/(-8))/((-22 - -28) + (-116)/20). Factor -3468*q**2 + 117912*q - 2/9*q**4 - 1503378 + 136/3*q**t.
-2*(q - 51)**4/9
Determine u so that -441657*u**3 + 5*u**4 - 41*u**2 + 1140 - 24*u**2 + 441752*u**3 - 1175*u = 0.
-19, -4, 1, 3
Let t(k) be the second derivative of -9*k**2 + 15/16*k**4 - 89/4*k**3 + 34*k + 0. Factor t(f).
3*(f - 12)*(15*f + 2)/4
Let l(a) be the second derivative of -13*a**5/20 + a**4/4 - 55*a**2/2 + 2*a - 14. Let x(g) be the first derivative of l(g). Factor x(t).
-3*t*(13*t - 2)
What is u in -116*u**5 - 345*u**3 - 427*u**3 - 160*u**2 - 816*u**4 + 88*u**4 = 0?
-5, -1, -8/29, 0
Suppose -134*o**4 - 32150/3*o**2 + 18000*o + 2110*o**3 + 0 - 2/3*o**5 = 0. What is o?
-216, 0, 5
Let g(s) = -2*s**2 - 38*s + 166. Let o(k) = -k**2 - 35*k + 162. Let x(y) = 2*g(y) - 3*o(y). Factor x(a).
-(a - 22)*(a - 7)
Suppose 67*m - 281*m - 166*m + 56*m**2 + 75*m + m**3 = 0. Calculate m.
-61, 0, 5
Let f be (0 - 3)*(1 + 1) + (-476)/(-51). Factor -1/3*r**4 + 0 + 0*r**2 + f*r**3 + 0*r.
-r**3*(r - 10)/3
Let z(l) be the second derivative of l**7/210 - l**6/5 + 5*l**3/6 + l**2/2 - 68*l. Let g(s) be the second derivative of z(s). Solve g(r) = 0 for r.
0, 18
Suppose -5 = -3*s - 7*s - 3*w, 4*w - 34 = -54. Suppose 0 + 2/5*c**s - 44/5*c = 0. What is c?
0, 22
Let n(w) = 177*w - 1582. Let f be n(9). Let o(z) be the first derivative of f - z**4 + 4/5*z**5 + 0*z**3 + 0*z**2 + 0*z. Factor o(k).
4*k**3*(k - 1)
Find f such that -94160659 + 13160659 - 397154*f - 6*f**3 + 10*f**3 - 7*f**3 - 2700*f**2 - 412846*f = 0.
-300
Suppose -2*f - 8*w + 5*w + 173 = 0, 5*f + 4*w - 436 = 0. Suppose -64 + 28*g + f + 22*g**2 + 28*g = 0. What is g?
-2, -6/11
Let f(z) be the third derivative of z**5/270 + 151*z**4/108 - 64*z**2 + z. What is k in f(k) = 0?
-151, 0
Let y(k) be the second derivative of -9/2*k**2 + 4*k**3 + 0*k**5 + 1/10*k**6 - 1 - 3/2*k**4 + 61*k. Determine x, given that y(x) = 0.
-3, 1
Factor -6245001/8*k - 3/8*k**3 + 7497/8*k**2 + 1734028611/8.
-3*(k - 833)**3/8
Suppose -2*k - 5*j + 60 = 0, k - 3397 = -5*j - 3337. Factor 67/6*r**2 - 1/6*r**4 + 16/3*r**3 +