w**3 + 1/4*w**v + 2 - 1/20*w**5 - w - 5/32*w**4. Solve r(a) = 0 for a.
-2, -1, 1, 2
Let g be -5 + (-3)/6*(-26)/1. What is h in 6*h + 0 - 10*h**3 + 6*h**3 - g + 6*h = 0?
-2, 1
Let d(c) = 3*c**3 - 25*c**2 + 46*c - 574. Let s be d(9). Solve -1/4*k**s + 43/4 - 21/2*k = 0.
-43, 1
Let s(p) = 4*p - 76. Let n be s(15). Let x(f) = -f**3 - 17*f**2 - 17*f - 16. Let t be x(n). Factor t*g**2 - 16*g - 2*g**3 + 2*g**2 + 8*g**2 + 8.
-2*(g - 2)**2*(g - 1)
Let i(w) be the third derivative of -121/72*w**4 + 7*w**2 + 0*w**3 + 29/120*w**6 + 2/315*w**7 + 77/30*w**5 + 5*w + 0. Factor i(u).
u*(u + 11)**2*(4*u - 1)/3
Let p(c) be the second derivative of c**4/12 - 9*c**3/2 - 80*c**2 - 136*c - 4. Factor p(u).
(u - 32)*(u + 5)
Let l(h) be the second derivative of -1/20*h**5 + 1/90*h**6 + 0*h**4 + 0 + 108*h + 0*h**2 + 2/9*h**3. Find r such that l(r) = 0.
-1, 0, 2
Let x be (-160)/(-128)*(9/5 + 1). Let h = x - 115/34. Determine f so that 0*f**2 + 2/17*f**5 + 4/17*f**4 + 0 + 0*f + h*f**3 = 0.
-1, 0
Let j(w) = w**2 + 636*w - 20673. Let f be j(31). Solve 0 + 24/7*h**4 - 4/7*h**5 - f*h + 32/7*h**3 - 24/7*h**2 = 0 for h.
-1, 0, 1, 7
Let q(v) be the third derivative of v**11/83160 - v**10/5400 + v**9/2520 - 21*v**5/20 + 2*v**2 + 28. Let l(n) be the third derivative of q(n). Solve l(t) = 0.
0, 1, 6
Let z be (-90)/1680 - (-8)/84. Let a(h) be the first derivative of z*h**6 + 0*h + 1/16*h**4 + 0*h**3 + 8 + 0*h**2 - 1/10*h**5. What is f in a(f) = 0?
0, 1
Let n = -5/99 - -38/99. Let u(c) be the second derivative of 1/10*c**5 + 1/3*c**4 - 1/10*c**6 + 4*c - 1/2*c**2 + 0 - n*c**3. Suppose u(g) = 0. Calculate g.
-1, -1/3, 1
Suppose 0 = 9*s - 23*s + 42. Determine v, given that -s*v - 3*v**2 + 119 - 207 + 106 = 0.
-3, 2
Let d(t) be the second derivative of -t**7/525 + 12*t**6/125 - 201*t**5/250 - 43*t**4/3 - 1652*t**3/25 - 3528*t**2/25 + 351*t. Solve d(m) = 0 for m.
-2, 21
Let i be (-2112)/(-42) - (-1 + (-9)/(-7)). What is w in -85*w**2 + i - 92*w**2 + 162*w**2 - 145*w = 0?
-10, 1/3
Let u(n) = 13*n**2 - 26*n - 48. Let x(t) = 12*t**2 - 26*t - 48. Let w(v) = -2*u(v) + 3*x(v). Let g(s) = -3*s**2 - s - 1. Let f(p) = -4*g(p) - w(p). Factor f(c).
2*(c + 2)*(c + 13)
Let m be (1/6)/((-11)/(-33)). Let z = 403/6 + -67. Find s, given that -1/6 - m*s**2 - z*s**3 - 1/2*s = 0.
-1
Let t(v) be the third derivative of -9*v**2 - 1/80*v**6 + 1/8*v**4 - 1/40*v**5 + 0 + 0*v**3 + 2*v. Let t(z) = 0. What is z?
-2, 0, 1
Let i = 749066/483 - 32548/21. Suppose 12/23 + 2/23*v**5 + i*v - 8/23*v**4 - 4/23*v**2 - 24/23*v**3 = 0. What is v?
-1, 1, 6
Suppose 0 = -u - 178*m + 182*m - 25, 0 = 5*m - 35. Factor 144/7 + 24/7*k - 20/7*k**2 + 2/7*k**u.
2*(k - 6)**2*(k + 2)/7
Let t(g) = 2*g + 17. Let a(k) = k. Let w(o) = -4*a(o) + t(o). Let s be w(5). Factor -11*u + 30*u**2 - 8*u**3 - 13*u + 36*u**2 - s*u**3.
-3*u*(u - 4)*(5*u - 2)
Let p be ((-6)/(-21) - (-32)/84) + (-129)/(-9). Let a(i) be the first derivative of 0*i**4 - p - 5*i + 10/3*i**3 + 0*i**2 - i**5. Factor a(z).
-5*(z - 1)**2*(z + 1)**2
Let g be (-3 + 0)/(90 - 91). Let f(h) be the first derivative of 9/5*h**5 - 3*h - 16 + 0*h**2 - 6*h**4 + 6*h**g. Let f(d) = 0. Calculate d.
-1/3, 1
Let g(z) = -11*z**2 + 100*z - 588. Let q(p) = -26*p**2 + 208*p - 1176. Let l(b) = -5*g(b) + 2*q(b). Find c, given that l(c) = 0.
14
Let r(o) be the second derivative of 0 + 0*o**2 - 2/3*o**3 + 85*o - 1/3*o**4. Factor r(f).
-4*f*(f + 1)
Factor 4/13*a**2 - 4/13 + 2/13*a**3 - 2/13*a.
2*(a - 1)*(a + 1)*(a + 2)/13
Suppose 83 = 41*p - 29*p + 35. Let c(o) be the second derivative of 0 + 4/13*o**2 + 1/78*o**p - o + 4/39*o**3. Let c(v) = 0. What is v?
-2
Let g = -108948/205 + 21888/41. Let p be (-5)/(-20)*(-24)/(-10). Factor 0 - g*v + p*v**3 + 0*v**2.
3*v*(v - 2)*(v + 2)/5
Let t be ((-5661)/518)/51*7/(-270). Let l(d) be the third derivative of 1/630*d**7 - 2*d**2 + 1/720*d**6 + 0 - t*d**5 + 0*d + 0*d**3 - 1/144*d**4. Factor l(i).
i*(i - 1)*(i + 1)*(2*i + 1)/6
What is f in 272*f**2 + f**3 - 498*f + 4*f**3 + 280 - f**3 - 58*f = 0?
-70, 1
Let o(u) = -u**2 + 19*u - 57. Let y be o(4). Factor 4/3 + h**2 + 1/6*h**y + 2*h.
(h + 2)**3/6
Let w(l) be the first derivative of -55*l**4/4 + 5*l**3/6 - 32*l - 73. Let t(q) be the first derivative of w(q). Find b such that t(b) = 0.
0, 1/33
Let j(c) be the first derivative of -3/8*c**4 + c**3 - 3/2*c + 3/8*c**2 - 3/10*c**5 + 81 + 1/8*c**6. Let j(u) = 0. What is u?
-1, 1, 2
Let d(z) be the second derivative of z**6/24 - 4*z**5/3 - 85*z**4/24 - 73*z**2/2 - 208*z. Let w(m) be the first derivative of d(m). Suppose w(f) = 0. What is f?
-1, 0, 17
Let u(o) be the second derivative of -1/33*o**3 + 3 + 10/11*o**2 + 18*o - 3/22*o**4. Determine z, given that u(z) = 0.
-10/9, 1
Let h(r) be the second derivative of -2*r**7/105 + r**5/5 - r**4/3 + 5*r**2 + 22*r + 3. Let l(b) be the first derivative of h(b). Determine y so that l(y) = 0.
-2, 0, 1
Suppose -m = m - 4. Let t be ((-12)/4)/(((-10)/(-10))/(-3)). Factor -9*h**m + 16*h - h + 13*h**2 - t*h**2.
-5*h*(h - 3)
Suppose 5*t + 3*d - 14 = 0, 5*t + 34*d - 39*d = 110. Factor 1/8*o**5 + 0*o + 25/2*o**2 + 0 - 19/8*o**4 + t*o**3.
o**2*(o - 10)**2*(o + 1)/8
Let r(z) be the third derivative of z**7/840 - 71*z**6/120 + 3313*z**5/40 + 10153*z**4/24 + 20449*z**3/24 + 2*z**2 - 254. Let r(p) = 0. What is p?
-1, 143
Let l = 4/6359 - -19057/31795. Suppose y**3 + 4/5 - 1/5*y**4 - l*y**2 - y = 0. Calculate y.
-1, 1, 4
Let x be (-2 + 9 + -1)*(-1634)/(-2451). What is f in -6/7*f**x + 0 + 0*f + 12/7*f**2 + 6/7*f**3 = 0?
-1, 0, 2
Let k(a) be the third derivative of -a**5/140 + a**4/14 + 2162*a**2. Factor k(s).
-3*s*(s - 4)/7
Let g = 4215521/15 - 843103/3. Factor -g*a**3 - 34/5*a**2 + 0 + 36/5*a.
-2*a*(a - 1)*(a + 18)/5
Let 93/5*u**2 - 93/5*u**4 + 0 - 201/5*u**3 + 198/5*u + 3/5*u**5 = 0. Calculate u.
-2, -1, 0, 1, 33
Let r = -22 - -26. Let x be (-35)/(-14)*r/5. Factor 2*w + 2*w - 6*w**x + 3 - w - 6*w.
-3*(w + 1)*(2*w - 1)
Solve 133*b + 2*b**3 - 7*b**3 - 268*b + 135*b + 1105*b**2 = 0 for b.
0, 221
Let d(s) be the third derivative of 5*s**8/336 + 19*s**7/14 + 35*s**6 + 196*s**5/3 - 4*s**2 + 8*s. Factor d(f).
5*f**2*(f + 1)*(f + 28)**2
Suppose 47 - 51 = -x. Suppose x*y + 2*o = 26, -3*y = -40*o + 36*o + 8. Factor 4/3*k**3 + 4/3*k**2 - 2/3*k**5 - 2/3*k**y - 2/3*k - 2/3.
-2*(k - 1)**2*(k + 1)**3/3
Let g(b) = 36*b**2 + 1177*b - 8204. Let r(l) = -10*l**2 - 394*l + 2734. Let w(i) = 4*g(i) + 14*r(i). Suppose w(p) = 0. Calculate p.
7, 195
Let j(y) be the first derivative of -y**3/15 - 3*y**2 - 29*y/5 - 258. Determine s, given that j(s) = 0.
-29, -1
Suppose -146 = -2*h - 146. Let v(q) be the third derivative of 0*q**4 + h + 0*q**3 + 1/40*q**5 + 3/160*q**6 + 0*q + 1/280*q**7 - 16*q**2. Factor v(u).
3*u**2*(u + 1)*(u + 2)/4
Let s = -8 - -9. Let n be (4 + (-2 - 1))/(s - 0). Factor -2*r**2 + 3*r**2 - 6*r - n + 6*r.
(r - 1)*(r + 1)
Factor -1/3*x**3 - 34/3*x**2 + 109/3*x - 74/3.
-(x - 2)*(x - 1)*(x + 37)/3
Let n(f) = 42*f**2 + 15*f + 7. Let c be n(-4). Let l = c - 619. Factor -1/8 - 1/4*k**3 + l*k**2 + 1/8*k**4 + 1/4*k.
(k - 1)**3*(k + 1)/8
Factor -780/7*b**2 + 3/7*b**3 - 12/7*b + 3120/7.
3*(b - 260)*(b - 2)*(b + 2)/7
Let s(a) be the third derivative of a**5/240 - 7*a**4/96 - 5*a**3/2 + 560*a**2. Factor s(h).
(h - 12)*(h + 5)/4
Let w(s) be the second derivative of 10*s**6/3 - 79*s**5/4 + 25*s**4/2 + 535*s**3/6 - 55*s**2 - s - 78. What is n in w(n) = 0?
-1, 1/5, 2, 11/4
Let i(b) = -b**4 - 8*b**2 + b - 2. Let r(w) = -2*w**5 - 5*w**4 - 10*w**3 + 20*w**2 - 3*w + 6. Let g(x) = -6*i(x) - 2*r(x). Find c such that g(c) = 0.
-2, -1, 0
Find y such that -623/4*y - 621/2 - 1/4*y**2 = 0.
-621, -2
Let s(c) be the first derivative of -c**6/45 - c**5/10 + 7*c**4/3 - 7*c**3/3 - c**2 - 47. Let d(k) be the third derivative of s(k). Factor d(g).
-4*(g - 2)*(2*g + 7)
Let n be (2/4)/(5/30) + -3. Suppose -4*b = -5*r + 31, -5*r + 17*b - 20*b = -3. Factor n - 4/5*t**4 + 4/5*t**r + 64/5*t**2 + 16*t.
-4*t*(t - 5)*(t + 2)**2/5
Let l(j) be the first derivative of 72 - 7/8*j**2 - 49/8*j - 1/24*j**3. Let l(s) = 0. Calculate s.
-7
Let c(u) be the third derivative of -u**8/2520 - 4*u**7/315 - 151*u**6/900 - 88*u**5/75 - 23*u**4/5 - 48*u**3/5 - u**2 + 438*u + 1. Solve c(g) = 0.
-6, -4, -3, -1
Let x = 417 + -417. Suppose -66 = -20*c - 26. Factor 0*z + 4/17*z**c + 0 - 2/17*z**5 + 6/17*z**3 + x*z**4.
-2*