*2 - 3*k**2 + 3*k**2 + 5*k - 6*k**3 - 6*k**2 + k**5 = 0 for k.
-3, -1, 1, 2
Solve -6*g**2 - 97*g**3 + 2*g**2 + 44*g**3 + 13*g + 55*g**2 + 49*g**3 = 0.
-1/4, 0, 13
Let l be (2 - -1)/(2/(-4) + 2). Let t(z) be the first derivative of -4 + 3/2*z**4 + 0*z**l + 0*z + 0*z**3 + 3/5*z**5. Suppose t(u) = 0. What is u?
-2, 0
Let b(f) be the first derivative of 1/3*f**2 + 0*f**5 + 1/9*f**6 - 4 - 1/3*f**4 + 0*f**3 + 0*f. Find m, given that b(m) = 0.
-1, 0, 1
Suppose 12*p**2 - 28*p**4 + 13*p**3 + p**5 + 6*p**2 + 8*p**3 + 36*p**4 = 0. Calculate p.
-3, -2, 0
Suppose -r - 12 = -5*z, z - 2*r - 1 + 4 = 0. Factor -2/9 + 2/9*c - 2/9*c**z + 2/9*c**2.
-2*(c - 1)**2*(c + 1)/9
Let v be -6*(29/(-174))/(1/3). Let -2/7 - 5/7*a**v + 3/7*a**4 + 5/7*a - 1/7*a**2 = 0. Calculate a.
-1, 2/3, 1
Let t(p) be the first derivative of p**7/336 - 17*p**6/720 + p**5/15 - p**4/12 - p**3/3 - 2*p - 52. Let a(l) be the third derivative of t(l). Factor a(u).
(u - 2)*(u - 1)*(5*u - 2)/2
Let i(g) = -g**2 + 23*g - 19. Let x be i(22). Let p(o) be the first derivative of 5/4*o**4 - 5/6*o**6 - o**5 + 0*o - 15 + 5/3*o**x + 0*o**2. Factor p(d).
-5*d**2*(d - 1)*(d + 1)**2
Let n = -8 + 22. Let r be (2 + -38)*(-21)/n. Factor -2*b**2 + r - 28 - 30 + 6*b.
-2*(b - 2)*(b - 1)
Suppose 6*k = -37*k + 215. Let b(a) be the second derivative of 1/60*a**k + 1/6*a**3 + 0 - 1/6*a**2 - 1/12*a**4 + 5*a. Solve b(c) = 0.
1
Let m be (4 + -5)/(3 + 1 - 156/36). Let 3*k + 1/2*k**m + 0 + 5/2*k**2 = 0. Calculate k.
-3, -2, 0
Let j(o) = 1. Let w(y) = -5*y**2 - 2*y + 6. Let b = -6 + 12. Let x(q) = b*j(q) - w(q). Factor x(p).
p*(5*p + 2)
Suppose -3 = 2*w + 2*v + v, v = -w - 1. Suppose 0 = 3*q + 4*i - 8, 4*q + 4*i = -w + 8. Determine m so that 4/3*m**2 - 4/3*m + q = 0.
0, 1
Let 95*f - 159*f + 11*f**2 + 3*f**2 + 2*f**3 - 6*f**2 = 0. What is f?
-8, 0, 4
Let i(n) be the third derivative of -81*n**7/70 - 27*n**6/10 - 3*n**5/2 - 7*n**4/18 - n**3/18 + 288*n**2 - 3*n. Factor i(o).
-(o + 1)*(9*o + 1)**3/3
Factor -18/5*j**3 - 15*j**2 + 0 + 3/5*j**4 - 54/5*j.
3*j*(j - 9)*(j + 1)*(j + 2)/5
Let c(k) be the second derivative of -3/40*k**5 + 14*k - k**2 + 7/12*k**4 - 7/12*k**3 + 0. Factor c(z).
-(z - 4)*(z - 1)*(3*z + 1)/2
Let o(q) be the first derivative of -4*q**3/3 + 258*q**2 - 512*q - 943. Factor o(c).
-4*(c - 128)*(c - 1)
Let v(l) be the third derivative of -l**8/1344 + l**7/504 + 13*l**4/24 - 13*l**2. Let i(q) be the second derivative of v(q). Let i(d) = 0. Calculate d.
0, 1
Let 6*p**2 - 2*p - 9 + 26*p**3 - 14*p**3 + 5 - 10*p**3 - 2*p**4 = 0. Calculate p.
-1, 1, 2
Let g(f) be the third derivative of f**8/2520 - f**7/1575 - 3*f**6/100 - 3*f**5/50 + 3*f**4/10 + f**2 - 2. What is q in g(q) = 0?
-3, 0, 1, 6
Let b(d) = d**3 - d**2 - d. Let a(h) be the first derivative of -7*h**4/2 - 10*h**3/3 - 11*h**2 - 16*h + 8. Let t(m) = -a(m) - 10*b(m). Factor t(k).
4*(k + 1)*(k + 2)**2
Let x be (115 + -110)*2/5. What is v in -2/3*v + 1/3*v**x + 1/3*v**3 + 0 = 0?
-2, 0, 1
Let c = -67/3 - 319/6. Let u = 76 + c. Factor -1/2*g**2 + 0*g + 0 - u*g**3.
-g**2*(g + 1)/2
Determine r, given that -3 - 118*r + 194*r**3 + 56*r**4 + 44*r + 52*r**2 + 15 = 0.
-3, -1, 1/4, 2/7
Let c(b) = -b**3 + 6*b**2 - 4*b - 1. Let k be c(5). Let f = -45 + 49. Factor 27*d**3 - 21*d**2 + k*d**5 + 6*d - 4*d**5 + 3*d**5 - 15*d**f.
3*d*(d - 2)*(d - 1)**3
Let w(f) = -9*f**2 + 3*f - 2. Let o be w(1). Let h be 6/o + 33/22. Suppose -h*q**3 + 0*q - 3/4*q**2 + 0 = 0. What is q?
-1, 0
Let r(a) be the second derivative of a**6/300 + 59*a**5/200 + 7*a**4 - 15*a**3 - 2*a + 111. Factor r(j).
j*(j - 1)*(j + 30)**2/10
Let m(j) = -j**4 - j**3 + j**2 + j. Let g(f) = 6*f**4 + 41*f**3 - 56*f**2 - 91*f. Let d(t) = g(t) + m(t). Factor d(s).
5*s*(s - 2)*(s + 1)*(s + 9)
Let b(m) = -688*m - 686. Let a be b(-1). Suppose -6 + 3/4*o**a - 21/4*o = 0. Calculate o.
-1, 8
Let v = 72 - 61. Find h such that 27*h**2 - 30*h + 3*h**3 + v*h**2 + 42*h + 3*h**3 = 0.
-6, -1/3, 0
Factor -3/5*w**2 - 2/5*w + 1/5*w**5 + 0 + 3/5*w**4 + 1/5*w**3.
w*(w - 1)*(w + 1)**2*(w + 2)/5
Let o(y) be the third derivative of 9*y**8/280 - 313*y**7/175 + 779*y**6/25 - 678*y**5/5 + 736*y**4/5 + 1024*y**3/5 - 168*y**2. Solve o(c) = 0 for c.
-2/9, 1, 2, 16
Suppose 15*n**2 + 60 + 118*n - 32*n - 24*n - 25*n**3 + 98*n = 0. Calculate n.
-2, -2/5, 3
Let j(o) = -2*o**3 + 2*o**2 - 1. Let c(r) = -32*r**3 + 116*r**2 - 37*r + 5. Let b(n) = c(n) + 2*j(n). Find a such that b(a) = 0.
1/6, 3
Let t be (1/(-20))/((-3)/6). Let y(n) be the second derivative of 0 + 0*n**2 + 1/2*n**4 - t*n**5 - 3*n - 2/3*n**3. Find d such that y(d) = 0.
0, 1, 2
Let o(b) = -b - 3. Let v be o(-5). Let f = 120 + -118. Find c, given that v*c**3 + c + f*c**2 - 2*c - 3*c**3 + 0*c**2 = 0.
0, 1
Let f(g) be the second derivative of -g**7/21 - 14*g**6/15 - 43*g**5/10 - 13*g**4/3 + 44*g**3/3 + 40*g**2 - 75*g. Suppose f(r) = 0. What is r?
-10, -2, -1, 1
Suppose 4*j - 235 = -j. Suppose -4*d - 109 - j = -4*u, 0 = 3*u + d - 105. Solve 37*a**4 - 18*a + a**3 - 25*a**4 - u*a**2 + 6*a + 8 - 5*a**3 = 0 for a.
-1, 1/3, 2
What is k in 288/13 - 1004/13*k - 14/13*k**2 = 0?
-72, 2/7
Let o(p) be the second derivative of p**6/105 - p**5/70 - 2*p**4/21 + 4*p**3/21 - 335*p. Factor o(c).
2*c*(c - 2)*(c - 1)*(c + 2)/7
Let c(v) = v**2 - 9*v + 2. Let l be c(9). Let 61*t**2 + 99*t + 38*t**l - 3*t + 21*t**3 - 36 = 0. Calculate t.
-3, -2, 2/7
Let j be (-13 + 4)*(-8)/36. Suppose 32 - 32 - j*t**3 - t**3 = 0. Calculate t.
0
Suppose 56*h - 55*h + 1 = 0. Let k be (-6)/h*((-6)/(-4))/3. Factor 9*r**4 + k + 3/2*r**5 + 24*r**2 + 21*r**3 + 27/2*r.
3*(r + 1)**4*(r + 2)/2
Let w(k) be the second derivative of 3*k**2 + 1/15*k**6 + 2*k**4 - 3/5*k**5 + 4*k - 10/3*k**3 + 0. Factor w(s).
2*(s - 3)*(s - 1)**3
Let a be 140/49 - 1/(-7). Factor -79*p + 9*p**4 - p + 24*p**2 - 6 + 68*p**a + 11*p**4 - 26.
4*(p - 1)*(p + 2)**2*(5*p + 2)
Factor -64*i + 4/5*i**2 + 624/5.
4*(i - 78)*(i - 2)/5
Let p(g) be the third derivative of -1/2688*g**8 + 0 + 0*g**3 + 14*g**2 - 13/1680*g**7 - 3/40*g**5 + 0*g**4 + 0*g - 1/20*g**6. Factor p(h).
-h**2*(h + 1)*(h + 6)**2/8
Factor 12773*c**3 - 182*c - 12777*c**3 - 38*c + 224*c**2.
-4*c*(c - 55)*(c - 1)
Let r(t) = 9*t**5 + 16*t**4 + 26*t**3 + 24*t**2 + 5*t. Let y(x) = x**5 - x**4 - x**3 + x**2. Suppose -2*b = -6 + 14. Let f(a) = b*y(a) + r(a). Factor f(h).
5*h*(h + 1)**4
Suppose i = 4*g - 4, 4*i = 5*g - 2*g - 3. Let s be 9/(-54)*i - 4/(-2). Factor 0*z**s + 2/13*z**3 + 0*z + 0.
2*z**3/13
Solve 20/3 - 41/6*y + 1/6*y**2 = 0.
1, 40
Let r be (2 + -5 + 3)*1. Let k(p) be the third derivative of 0 + p**2 + r*p**4 - 1/20*p**6 + 0*p**3 + 1/20*p**5 + 1/70*p**7 + 0*p. Solve k(g) = 0 for g.
0, 1
Let x = 327 + -325. Suppose x*g - 84 = -19*g. Solve 0 - 4/3*o**3 - 5/9*o**g - o**2 - 2/9*o = 0.
-1, -2/5, 0
Let s be (-19 - 9)/((-2)/1). Let r be (-2)/s - 261/(-63). Solve -33*u**2 + 12*u**r - 30*u**3 + 8*u**4 + 7*u**4 + 6 + 21*u + 9*u**3 = 0 for u.
-1, -2/9, 1
Factor 16*f**3 + 86 + 8*f**3 + 48*f - 102 - 4*f**4 - 52*f**2.
-4*(f - 2)**2*(f - 1)**2
Let k(u) = -u + 125. Let p be k(0). Let x = 212 - p. Factor -1280*l**2 - 2*l**5 + x - 320*l**3 - 2560*l - 69*l**4 + 29*l**4 - 2135.
-2*(l + 4)**5
Suppose 0 = 6*m - m - 10. Let v be (-88)/(-33) - m/(-6). Factor 8*t - 4*t**2 + 6*t**v + 7*t**3 - 17*t**3.
-4*t*(t - 1)*(t + 2)
Suppose 0 = -2*p + 10 - 6. Suppose k + p - 5 = 0. Determine h, given that 3*h**3 + 2*h + 2*h**4 - 6*h**2 + 3*h**k - 3*h**4 - h**4 = 0.
0, 1
Factor -8/11 - 23/11*t + 3/11*t**2.
(t - 8)*(3*t + 1)/11
Let l(p) be the second derivative of -1/30*p**6 - 2/15*p**3 + 0*p**2 + 1/5*p**4 - 3/100*p**5 - 21*p + 0. Factor l(n).
-n*(n - 1)*(n + 2)*(5*n - 2)/5
Let l = -9 - -15. Let v = 12 - l. Let h(z) = -7*z**2 + 9*z - 2. Let m(s) = -s**2 + s - 1. Let t(y) = v*m(y) - h(y). Factor t(n).
(n - 4)*(n + 1)
Let z(o) be the second derivative of 1/27*o**3 + 0*o**2 - 3*o + 0 - 1/54*o**4 + 1/135*o**6 - 1/90*o**5. Factor z(n).
2*n*(n - 1)**2*(n + 1)/9
What is f in f - f**3 + 7/8 - 1/8*f**4 - 3/4*f**2 = 0?
-7, -1, 1
Let j(l) be the third derivative of -l**8/96 + 11*l**7/140 - 53*l**6/240 + 31*l**5/120 - l**3/3 + 90*l**2. What is o in j(o) = 0?
-2/7, 1, 2
Let y(u) = 7*u**3 - 4*u**2 - 13*u + 21. Let t be -1 + 6/(1/1). Let x(p) = -10 + 133*p - 126*p - 4*p**3 + 2*p**2 - 1. Let w(b) = t*x(b) + 3*y(b). Factor w(j).
(j - 2)**2*(j + 2)
Let g be 7 - 2/40*(-11