that f(k) = 0.
-1, 2/5, 1, 5
Let i(b) be the first derivative of b**4/24 + 10*b**3/9 + 9*b**2 + 24*b + 53. Let i(k) = 0. What is k?
-12, -6, -2
Suppose 0 = -2*m + 5*k + 241 - 16, -5*m = 2*k - 548. Suppose 106*u - m*u + 16 = 0. Solve 0*c - 4/5*c**2 + 0 - 1/5*c**u - c**3 = 0 for c.
-4, -1, 0
Let z(x) be the third derivative of -173*x**2 + 1/150*x**5 + 0*x + 484/15*x**3 - 11/15*x**4 + 0. Factor z(i).
2*(i - 22)**2/5
Let i(z) = z**3 - 9*z**2 - 22*z + 2. Let a be i(11). Find o, given that -28*o**3 + 16*o**3 + 17*o**3 + 55*o**a = 0.
-11, 0
Factor -4314 - 3125*a - 2*a**2 + 1213*a + 3356*a.
-2*(a - 719)*(a - 3)
Factor 1/3*p**2 + 44652 - 244*p.
(p - 366)**2/3
Let y be (1 + 13 + -13 - (-1)/14)*(-116)/(-87). Factor -y*j**2 + 4/7*j**4 + 8/7 - 1/7*j**5 + 4/7*j - 1/7*j**3.
-(j - 2)**3*(j + 1)**2/7
Let x(t) be the first derivative of -1/225*t**6 - 1/150*t**5 + 0*t**3 - 26*t - 47 + 0*t**2 + 1/45*t**4. Let j(u) be the first derivative of x(u). Factor j(d).
-2*d**2*(d - 1)*(d + 2)/15
Suppose -2*j + 31 = v, 5*j + 2*v - v = 73. Let u(d) be the first derivative of -d**2 + j + 4*d + 1/2*d**4 + 2/5*d**5 - 2*d**3. Let u(z) = 0. Calculate z.
-2, -1, 1
Let p be 3/(-33)*-6 - (-640)/440. Solve 4*k**2 - 8*k + k**2 + 4*k**2 - 15*k**p + 5*k**2 + 12 + k**3 = 0 for k.
-3, 2
Let u(g) be the first derivative of 2*g**5/25 - 4*g**4/5 + 34*g**3/15 - 2*g**2 - 556. Find r, given that u(r) = 0.
0, 1, 2, 5
Let y be (-4)/2 - (71 - 1518). Solve -y + 0*d**3 + 24*d**2 + 1403 + 15*d + 3*d**3 = 0 for d.
-7, -2, 1
Let r(f) = -32928*f + 2. Let s be r(0). Factor -1/4*c**4 + 1/4*c + 1/4*c**s - 1/4*c**3 + 0.
-c*(c - 1)*(c + 1)**2/4
Let b be (10 - (-169)/(-13))/((-3)/14). Let o(a) = 7*a**2 - 2*a + 3. Let j be o(-4). What is n in 43 - j*n - 7 + 8*n - 25*n**2 + b = 0?
-5, 2/5
Let v(j) = -327*j**2 + 1329*j + 423. Let w(x) = 98*x**2 - 399*x - 127. Let m(n) = 8*v(n) + 27*w(n). Factor m(c).
3*(c - 5)*(10*c + 3)
Let w(l) = 11*l**2 + l + 2. Let u(i) = -11*i**2 - 15*i + 3. Let d(x) = 5*x**2 + 9*x - 2. Let a(h) = 5*d(h) + 3*u(h). Let b(s) = 4*a(s) + 3*w(s). Factor b(m).
(m + 1)*(m + 2)
Let l(s) = 10*s**2 - 43*s - 41. Let v(j) = -28*j**2 + 128*j + 124. Let a(x) = 20*x - 77. Let y be a(4). Let h(o) = y*v(o) + 8*l(o). Solve h(g) = 0 for g.
-1, 11
Let t be ((-319)/(-174) + -2)*(-4 - 0). Find o such that 1/2*o**4 + 2/3 + 2/3*o - t*o**3 - 7/6*o**2 = 0.
-1, -2/3, 1, 2
Find k such that 3291/8*k**2 + 3/8*k**3 + 113025*k + 112614 = 0.
-548, -1
Suppose -4*a - 34 = 149*y - 152*y, 0 = -2*a - 3*y + 46. Let a - 9/5*v**3 + 34/5*v**2 + 53/5*v = 0. What is v?
-1, -2/9, 5
Let r = 1647659/9 - 183073. Let 0 - 2/3*t**2 + r*t**3 + 4/9*t = 0. Calculate t.
0, 1, 2
Let s(n) = -n**2 + 17*n - 13. Let w be s(16). Factor 9*l**2 - l**w - 3*l**2 - 154*l**4 + 153*l**4.
-l**2*(l - 2)*(l + 3)
Suppose -c + 3*i = 10, -14*c + 10*c - 4*i = -120. Factor -7/2*l**2 - 1/2*l**3 + c*l - 22.
-(l - 2)**2*(l + 11)/2
Determine u, given that 7*u**3 - 37*u**3 - 24*u - 7*u**2 + 62*u**2 - u**2 - 3*u**3 + 3*u**5 = 0.
-4, 0, 1, 2
Find z such that 93 + 189*z + 99*z**2 - 4*z**3 + 6*z**3 - 4*z**3 + 5*z**3 = 0.
-31, -1
Solve 958*t**2 + 171*t - 1915*t**2 + 958*t**2 = 0.
-171, 0
Let p(u) be the third derivative of 23/22*u**4 + 0 + 1/330*u**5 - 4*u**2 - 6*u + 1587/11*u**3. Factor p(r).
2*(r + 69)**2/11
Suppose -4*x = 6*c - 3*c + 110, -5*c - 77 = 3*x. Let n = 33 + x. Find k, given that 640*k**2 + 445 + 4*k**5 - 633 - 836 + 60*k**n + 320*k**3 = 0.
-4, 1
What is h in -12*h**2 - 192 - 111*h - 39622*h**5 - 548*h**3 + 679*h + 228*h**4 - 32*h**2 + 39602*h**5 + 8*h**2 = 0?
-1, 2/5, 1, 3, 8
Let y(v) be the third derivative of v**6/135 + 77*v**5/15 + 115*v**4/18 - 692*v**3/27 - 1088*v**2. Solve y(m) = 0 for m.
-346, -1, 1/2
Suppose -2*z = -5*z - 5*s + 20, 2*z - 12 = -4*s. Let h = 18 - z. Let 52*j + 46*j + j**3 - 78*j + h + 16*j**2 + 3*j**3 = 0. Calculate j.
-2, -1
Let n(q) be the second derivative of 26*q + 1/3*q**7 - 3/2*q**5 + 29/45*q**6 + 8/3*q**3 - 4/3*q**2 + 0 - 25/18*q**4. What is s in n(s) = 0?
-2, -1, 2/7, 1/3, 1
Let r(f) be the third derivative of -f**8/2184 - 358*f**7/1365 - 178*f**6/195 + 20*f**2 - 11*f + 1. Solve r(x) = 0.
-356, -2, 0
Let a = -17/24277 + 97159/72831. Factor a*z**3 + 13/3*z**2 + 2/3 + 11/3*z.
(z + 1)*(z + 2)*(4*z + 1)/3
Find i, given that i**5 + 96*i**4 - 17*i**3 - 394*i**2 + 6*i**5 - 5*i**5 - 194*i**2 - 93*i**3 = 0.
-49, -2, 0, 3
Let y(u) be the first derivative of 4*u**5/5 + 251*u**4 + 62488*u**3/3 - 32760*u**2 - 127008*u + 5262. Factor y(p).
4*(p - 2)*(p + 1)*(p + 126)**2
Suppose -27*l + 33*l = 90. Factor -l*d - 15*d - 32*d + 3*d**2 + 11*d.
3*d*(d - 17)
Let r(x) be the first derivative of 0*x**2 + 13 + 0*x**4 - 1/25*x**5 + 0*x**3 - 5*x + 2/75*x**6. Let u(b) be the first derivative of r(b). Factor u(f).
4*f**3*(f - 1)/5
Solve 1858592*t**2 + 863591055616/3 + 3856/3*t**3 + 3583365376/3*t + 1/3*t**4 = 0.
-964
Let h = 20 + -91/5. Let l be 13 - 2 - (3058/(-110) + 37). Factor 3/5*x - h*x**2 + l*x**3 + 0 - 3/5*x**4.
-3*x*(x - 1)**3/5
Let o(l) be the second derivative of l**6/150 - 23*l**5/50 - 4*l**4/5 + 23*l**3/15 + 47*l**2/10 - 10486*l. Solve o(c) = 0.
-1, 1, 47
Let q(t) be the second derivative of 4*t**7/63 - 157*t**6/15 + 407*t**5/15 - 77*t**4/6 - 116*t**3/9 - 5310*t. Let q(j) = 0. What is j?
-1/4, 0, 1, 116
Let q(v) be the third derivative of v**6/150 - 49*v**5/75 + 7*v**4/5 + 192*v**3/5 + 808*v**2. Factor q(j).
4*(j - 48)*(j - 3)*(j + 2)/5
Let a = -3529 - -3534. Let z(b) be the first derivative of 0*b + 16 + 1/25*b**a - 3/10*b**4 + 4/5*b**3 - 4/5*b**2. Factor z(n).
n*(n - 2)**3/5
Let t(s) be the third derivative of 0*s - 19/9*s**3 - 77*s**2 + 13/12*s**4 - 1/45*s**5 + 0. Factor t(v).
-2*(v - 19)*(2*v - 1)/3
Factor -1/2*t**4 + 0*t + 0 - 57/2*t**2 - 29*t**3.
-t**2*(t + 1)*(t + 57)/2
Let s(w) = 5*w**2 - 23*w + 71. Let o be s(4). Let z = 61 - o. Factor 5/2*l + 1/2*l**z + 3.
(l + 2)*(l + 3)/2
Let a(c) be the second derivative of 2*c + 9 + 1/25*c**5 + 0*c**2 + 0*c**3 + 1/75*c**6 + 1/30*c**4. Solve a(s) = 0 for s.
-1, 0
Let l(a) be the third derivative of -58*a**2 - 1/5*a**3 - 1/30*a**4 + 0*a + 1/30*a**5 - 1. Solve l(b) = 0.
-3/5, 1
Let c be 6/6 - (-42)/70. Suppose 4*o + r = 3, -2*r + 9 = -2*o + 3. Find h, given that -4/5*h**5 + 8/5*h**2 - c*h**4 + 4/5*h + o*h**3 + 0 = 0.
-1, 0, 1
Suppose 0 = -3*m + 31 - 199. Let i be (-41 - m) + 3*(-2)/(-3). Let -17*l - 8*l**2 + 10 - 20*l**3 + 52*l - i*l**2 = 0. Calculate l.
-2, -1/4, 1
Let i(u) be the first derivative of -2*u**3/3 + 12*u**2 + 56*u - 32. Suppose i(q) = 0. Calculate q.
-2, 14
Factor 44/5*x + 0 + 2/5*x**3 + 46/5*x**2.
2*x*(x + 1)*(x + 22)/5
Let g(f) be the first derivative of -f**5/10 + 17*f**3 + 50*f**2 + 99*f/2 + 453. Factor g(i).
-(i - 11)*(i + 1)**2*(i + 9)/2
Suppose -4*f + 4*w = 240, 2*f - 6*w + 129 = -7*w. Let n be ((-7)/f)/(-1)*(0 + -7). Determine r so that 0 + 0*r - 2/9*r**5 - n*r**4 - 4/9*r**3 + 4/9*r**2 = 0.
-2, 0, 1/2
Let m(t) be the second derivative of 4*t**2 + 2*t + 1/6*t**4 + 114 + 5/3*t**3. Factor m(p).
2*(p + 1)*(p + 4)
Let 9/4*t**2 + 33/2*t + 30 = 0. Calculate t.
-4, -10/3
Suppose h + 29 = 11. Let w(r) = -5*r**4 + 5*r**3 - 3*r**2 + 13*r + 8. Let k(l) = l**4 - l**3 + l**2 - 3*l - 2. Let u(t) = h*k(t) - 4*w(t). Factor u(n).
2*(n - 2)*(n - 1)*(n + 1)**2
Factor 88*p - 672 - 4334*p**2 - 80*p + 4338*p**2.
4*(p - 12)*(p + 14)
What is n in 42350/3 + 1924/7*n**2 + 184/21*n**3 + 2/21*n**4 + 10120/3*n = 0?
-35, -11
Let p(g) be the first derivative of 2*g + 2/3*g**3 + 123 - 2*g**2. Factor p(c).
2*(c - 1)**2
Let u(b) be the second derivative of -b**5 + 34*b**4 + 586*b**3/3 + 276*b**2 - 137*b. Determine n, given that u(n) = 0.
-2, -3/5, 23
Factor 24*i**4 - 60*i - 92*i**4 - 38*i**2 - 4*i**3 + 19*i**4 - 27 + 25*i**4 + 25*i**4.
(i - 9)*(i + 1)**2*(i + 3)
Let v(m) be the first derivative of -m**6/39 - 22*m**5/65 + 27*m**4/13 + 820*m**3/39 + 619*m**2/13 + 42*m + 2093. Determine r so that v(r) = 0.
-13, -3, -1, 7
Let c(a) = -17*a**3 - 64*a**2 - 241*a + 287. Let j(w) = 12*w**3 + 43*w**2 + 162*w - 192. Let t(l) = 5*c(l) + 7*j(l). Find z such that t(z) = 0.
-13, -7, 1
Let m(l) be the third derivative of -l**8/1344 - 137*l**7/840 - 4759*l**6/480 - 4487*l**5/240 + 595*l**4/12 + 578*l**3/3 + 22*l**2 + 1. Let m(j) = 0. What is j?
-68, -1, 1
Let 54 - 369/4*q - 3/4*q**4 + 87/4*q**2 + 69/4*q**3 = 0. Calculate q.
-