- l**2 + r*l - 8 = 0. What is l?
-1, 1, 2
Let t(f) be the second derivative of f**7/147 - 26*f**6/105 + 5*f**5/14 + 407*f. Find m, given that t(m) = 0.
0, 1, 25
Suppose 4*n + 3*a = -0*a + 72, 3*n + 5*a - 43 = 0. Let p be 10/35 + (-6)/n. Determine q so that -1/4*q - 1/8*q**3 + p + 3/8*q**2 = 0.
0, 1, 2
Suppose g = 3*r - 7, 4*r + 0*g - 12 = 4*g. Suppose 5*n**r - 25*n**2 + 15*n + 6 + n**2 + 10*n**2 = 0. What is n?
-1/3, 2
Let a(t) be the first derivative of t**6/40 - t**5/60 - t**4/2 + 2*t**3/3 - 2*t**2 + 23. Let k(y) be the second derivative of a(y). Factor k(p).
(p - 2)*(p + 2)*(3*p - 1)
Let q(d) be the first derivative of -d**9/27216 + d**7/1890 + 46*d**3/3 - 47. Let h(w) be the third derivative of q(w). Suppose h(a) = 0. What is a?
-2, 0, 2
Suppose -2*w + 4*i + 8 = 0, -34*w + 3*i = -32*w - 7. Factor -28/11*f + 10/11 - 2/11*f**4 + 24/11*f**w - 4/11*f**3.
-2*(f - 1)**3*(f + 5)/11
Let n(u) be the second derivative of -u**6/1980 - u**5/660 + 14*u**3/3 - 5*u. Let p(q) be the second derivative of n(q). Suppose p(v) = 0. Calculate v.
-1, 0
Let y = 275 - 273. Let x(b) be the second derivative of 0 - 1/110*b**5 + 2*b + 0*b**3 + 0*b**6 + 1/231*b**7 + 0*b**4 + 0*b**y. Factor x(d).
2*d**3*(d - 1)*(d + 1)/11
Let l(g) = g**2 - 9*g - 2. Let i be l(10). Suppose 22*h = 18*h + i. Factor -6*w**2 + 3*w - 6*w**h - 12*w**3 + 3*w**4 - 7*w**4 - 7*w.
-4*w*(w + 1)**3
Let g(b) be the third derivative of b**6/120 - 2*b**5/45 - 11*b**4/24 + 5*b**3 + 141*b**2. Find u, given that g(u) = 0.
-10/3, 3
Let a(t) be the second derivative of -t**4/18 - 2*t**3/9 - t**2/3 - 2*t. Find d, given that a(d) = 0.
-1
Let f(k) be the second derivative of 11*k**5/40 - 145*k**4/24 + 79*k**3/6 - 6*k**2 - 225*k. What is h in f(h) = 0?
2/11, 1, 12
Factor -5*j**2 + 4*j**2 + 2*j**2 - 5*j**4 + 4*j**2 - 158*j**5 - 5*j**3 + 163*j**5.
5*j**2*(j - 1)**2*(j + 1)
Let h(n) be the first derivative of 2*n**5/15 - 11*n**4/6 + 10*n**3/9 + 47*n**2/3 + 20*n - 345. Suppose h(j) = 0. Calculate j.
-1, 3, 10
Let p = 1 + 7. Factor q + 5*q**2 + 3 - p*q**3 + 4*q**3 + 6*q + 5*q**3.
(q + 1)**2*(q + 3)
Let i(b) be the second derivative of -b**5/70 - b**4/42 + 4*b**3/21 + 4*b**2/7 - 22*b. Factor i(h).
-2*(h - 2)*(h + 1)*(h + 2)/7
Let k be (-3)/(594/(-140)) - -19*76/7942. Factor 2/9*b**2 + k + 8/9*b.
2*(b + 2)**2/9
Let p = -199 + 139. Let x be ((-7)/(-21))/((-4)/p). Solve 1/4*h**4 + 0 - 1/4*h**x + 0*h + 0*h**3 + 0*h**2 = 0.
0, 1
Let q(f) = -64*f + 387. Let z be q(6). Factor 0*m + 2/5*m**z + 0 + 2/5*m**2.
2*m**2*(m + 1)/5
Let y be 5177/(-501) + 2 + 11. Factor 2/3*j**3 - 4 - y*j**2 - 22/3*j.
2*(j - 6)*(j + 1)**2/3
Let k = 26/57 + -40/171. Find p such that 4/9*p + 0 - 10/9*p**4 + 2*p**3 - 14/9*p**2 + k*p**5 = 0.
0, 1, 2
Let j(z) be the second derivative of -z**4/3 - 2*z**3/3 + 84*z**2 - z - 100. Determine p, given that j(p) = 0.
-7, 6
Let k be 0*((-45)/(-36))/5. Let u(n) be the third derivative of -5*n**2 + 1/6*n**3 + k - 1/15*n**5 + 0*n - 1/8*n**4. Let u(q) = 0. What is q?
-1, 1/4
Let x(n) be the third derivative of -5*n**8/336 - n**7/21 + 5*n**6/24 + 5*n**5/6 - 5*n**4/6 - 20*n**3/3 + 52*n**2 - 5*n. Determine w so that x(w) = 0.
-2, -1, 1, 2
Let p(s) = -49*s**2 + 390*s - 849. Let z = 56 - 91. Let x(m) = -440*m**2 + 3510*m - 7640. Let n(g) = z*p(g) + 4*x(g). Factor n(o).
-5*(3*o - 13)**2
Suppose -5*j - 5*m = -20, -2*j - 5 = -5*m + 1. Suppose 4*d - 57 - 3 = 0. Factor 8*k - d*k**4 + 5*k**5 - 5*k**j - 8*k + 15*k**3.
5*k**2*(k - 1)**3
Let 2/5*f**4 + 6/5*f**3 - 6/5*f + 2/5*f**2 - 4/5 = 0. Calculate f.
-2, -1, 1
Let i be (1770/315 + -6)*-3. What is n in -i + 2/7*n**2 + 0*n = 0?
-2, 2
Let f(t) = -3*t - 1. Let n be f(-1). Let g(o) be the first derivative of -o**4 + 2 - 1/6*o**6 + 4/5*o**5 + 0*o**3 + 0*o + 0*o**n. Solve g(l) = 0.
0, 2
Let r(c) = 11*c**3 + 13*c**2 - 14*c + 5. Let g(p) = 13*p**3 + 14*p**2 - 13*p + 4. Let b(d) = 5*g(d) - 6*r(d). Find l such that b(l) = 0.
-10, 1
Let a = -4 + 4. Let n(z) be the second derivative of -1/10*z**6 + 0 + 1/56*z**7 + a*z**2 + 9/40*z**5 + 1/8*z**3 - 1/4*z**4 - 2*z. Suppose n(m) = 0. What is m?
0, 1
Let x(g) = 29*g + 1018. Let s be x(-35). Factor 1/2*t**5 + 2*t - 3/2*t**s + 2*t**2 + 0 - t**4.
t*(t - 2)**2*(t + 1)**2/2
Let o be (-4 + 4)*4/48*-3. Let x(w) be the second derivative of -1/20*w**5 + 0*w**2 + 1/3*w**3 + o - 1/12*w**4 - w. Factor x(f).
-f*(f - 1)*(f + 2)
Let l(r) be the third derivative of r**7/63 - r**6/180 - 8*r**5/225 - r**4/45 - 19*r**2 - r. Find u such that l(u) = 0.
-2/5, 0, 1
Determine j, given that -33/5*j**2 - 21/5*j + 12/5 = 0.
-1, 4/11
Let s be 8/2 + (4/60)/((-6)/140). Find k such that 8/3*k**4 + 8/9*k**2 + s*k - 58/9*k**3 + 4/9 = 0.
-1/3, -1/4, 1, 2
Let h = 156 + -152. Let p be h*(-9)/(-4) - 7. Factor 0*v**p + 3/2*v**4 - 3*v**3 - 3/2 + 3*v.
3*(v - 1)**3*(v + 1)/2
Find v such that 3*v**4 + 17*v + v - 9*v - 5*v**3 + 3*v**2 - 2*v**4 + 0*v**2 = 0.
-1, 0, 3
Let b = -42636 - -724834/17. Solve -b*y**3 + 24/17*y + 16/17 - 4/17*y**2 - 12/17*y**4 - 2/17*y**5 = 0.
-2, -1, 1
Let 76*x - 32*x - 4*x**4 - 6*x + 28*x**3 + 208*x**2 + 192 + 330*x = 0. Calculate x.
-2, -1, 12
Let z(v) be the third derivative of -1/105*v**5 + 0 + 4*v**2 + 1/42*v**4 + 0*v**3 + 0*v. Factor z(a).
-4*a*(a - 1)/7
Suppose -5*p + 0 - 1 = -4*o, 3*o - 27 = -5*p. Factor -55*s + 3*s**3 - 4*s**p + 31*s + 19*s - 2 - 4*s**2.
-(s + 1)**2*(s + 2)
Let i be (3/(-4))/((-6)/4). Let r = -193 + 195. Find x such that -1/2*x**r + x - i = 0.
1
Let o be ((-39)/130)/(-2*(-6)/(-8)). Let h(m) be the first derivative of 1/5*m**2 - o*m + 2 - 1/15*m**3. Solve h(z) = 0 for z.
1
Let w(b) be the first derivative of -16*b - 8*b**2 - 1 - 4/3*b**3. Let w(k) = 0. What is k?
-2
Let f be 6/(-20)*(-19 + 25). Let t = f - -2. Let -2/5*s + t*s**2 + 8/5*s**3 + s**4 + 0 = 0. Calculate s.
-1, 0, 2/5
Let b = 125 - 124. Let v(u) be the first derivative of -3/10*u**2 + 3/10*u**4 - 3/25*u**5 - 1/10*u**6 - 3/5*u + 2/5*u**3 + b. Factor v(j).
-3*(j - 1)**2*(j + 1)**3/5
Let o(h) be the first derivative of -2*h**3/9 - 326*h**2/3 - 53138*h/3 + 424. Factor o(s).
-2*(s + 163)**2/3
Factor -3*d**2 + 18*d**2 - 13*d**2 - 28*d.
2*d*(d - 14)
Let a = -8402366002247/4796 - -1751952884. Let i = 21/436 + a. Let -16/11 - 98/11*o**3 + 40/11*o - 50/11*o**5 + i*o**2 - 160/11*o**4 = 0. Calculate o.
-2, -1, 2/5
Let z be (-8)/20 - -1*(-17)/(-5). Factor -w + w**z - 14 - 1 + 10 + 5*w**2.
(w - 1)*(w + 1)*(w + 5)
Factor 55*j**2 - 40*j**2 + 1327*j - 5*j**4 + 20 - 1287*j - 10*j**3.
-5*(j - 2)*(j + 1)**2*(j + 2)
Let k(x) = -x**2 + x + 1. Suppose -2*c + 4*q = 6, -q - 3*q = -4*c. Let t(l) = 5*l**2 - l - 7. Let h(s) = c*k(s) + t(s). Factor h(u).
2*(u - 1)*(u + 2)
Suppose 0 = -4*x - w + 55, -x - 3*w - 10 = 2*w. Suppose -6*p + 33 = x. Factor 0 + 0*t - 2/11*t**p + 0*t**2.
-2*t**3/11
Let o be (26/39 - 0) + 10/(-24). Let z(i) be the second derivative of 0*i**2 + 2*i**3 + i + 0 - o*i**4. Factor z(k).
-3*k*(k - 4)
Solve 0*a - 12/13*a**2 - 2/13*a**4 + 0 + 10/13*a**3 = 0.
0, 2, 3
Let n(j) be the third derivative of -j**10/50400 - j**9/6720 - j**8/3360 + 23*j**5/30 - 26*j**2. Let y(p) be the third derivative of n(p). Factor y(z).
-3*z**2*(z + 1)*(z + 2)
Let k(z) = 0*z + z + 88*z**2 + 6 + 7*z - 86*z**2. Let a(i) = 2*i**2 + 8*i + 6. Let u(d) = -6*a(d) + 5*k(d). Let u(t) = 0. What is t?
-3, -1
Let v(f) be the first derivative of 6*f**5/25 + 9*f**4/10 + 6*f**3/5 + 3*f**2/5 - 14. Factor v(r).
6*r*(r + 1)**3/5
Suppose -5*s + 2 = -3. Let i be (0 - (0 - s)) + 1. Let -4*n**3 - 8*n**4 + 0*n**3 + 3*n**i - 4*n**5 - 3*n**2 = 0. Calculate n.
-1, 0
Let w be 15/(-25) + (2/(-20))/(171/(-2926)). Factor 2/9*u**3 + 2/9*u**2 - w*u + 2/3.
2*(u - 1)**2*(u + 3)/9
Let w(d) be the second derivative of 5*d**7/42 + 6*d**6/5 + 169*d**5/100 - 13*d**4/10 - 34*d**3/15 + 12*d**2/5 + 35*d. Let w(s) = 0. Calculate s.
-6, -1, 2/5
Let r(m) be the first derivative of 3/2*m**2 + 3/4*m**4 - 2*m**3 - 20 + 0*m. Factor r(u).
3*u*(u - 1)**2
Find h such that -2/3*h**3 - 32/3*h + 44/9*h**2 + 64/9 = 0.
4/3, 2, 4
Let q(d) be the first derivative of -2/7*d**3 - 6 + 0*d - 1/14*d**4 - 2/7*d**2. Factor q(a).
-2*a*(a + 1)*(a + 2)/7
Factor -26*j - 42 - 2/7*j**3 - 34/7*j**2.
-2*(j + 3)*(j + 7)**2/7
Let c = 159110255/471 - 337811. Let x = -6/157 + c. Solve x*l - 2/3 + 3/2*l**3 - 7/2*l**2 = 0 for l.
2/3, 1
Let v(a) = a**3 + 5*a**2 + 6*a + 14. Let c be v(-4). 