*z**4 - 5/16*z**3. Suppose u(f) = 0. What is f?
-5, -1, 1
Let x be (5/(-15)*1)/((-10)/(-14)). Let q = 5/3 + x. Suppose -9/5*c - q + 3*c**2 = 0. What is c?
-2/5, 1
Suppose -5*i + 4*g = -28, g = -i - 0 + 2. Factor 4*k**3 - 16*k**2 - 16*k + 4*k**3 + i*k**5 + 20*k**4 + 4*k**5 - 4.
4*(k - 1)*(k + 1)**3*(2*k + 1)
Let o(d) be the third derivative of 2*d**7/315 + 29*d**6/90 + 9*d**5/5 + 79*d**4/18 + 52*d**3/9 - 32*d**2 + 6. Let o(i) = 0. What is i?
-26, -1
Let l(y) be the third derivative of y**8/4032 + y**7/252 + y**6/36 + y**5/9 + y**4/3 + 5*y**2. Let i(s) be the second derivative of l(s). Factor i(j).
5*(j + 2)**3/3
Let y(o) be the second derivative of -7*o**6/75 - 9*o**5/50 + o**4/2 + 29*o**3/15 + 12*o**2/5 + 646*o. Factor y(j).
-2*(j + 1)**3*(7*j - 12)/5
Let d(s) be the second derivative of -s**4/3 + 10*s**3/3 + 12*s**2 + 18*s - 8. Factor d(k).
-4*(k - 6)*(k + 1)
Let l(v) = -46*v**2 - 136*v - 471. Let o(x) = 10*x**2 + 34*x + 118. Let p(r) = 4*l(r) + 18*o(r). Solve p(k) = 0 for k.
-3, 20
Let g be ((-11)/176)/((-51)/12 - -3). Let c(i) be the third derivative of 0 + 7*i**2 + 1/4*i**4 + 1/2*i**3 + g*i**5 + 0*i. Factor c(n).
3*(n + 1)**2
Let x(o) be the first derivative of 2*o**6/3 + 34*o**5/5 - 255*o**4/16 - 38*o**3/3 - 5*o**2/2 - 183. Suppose x(s) = 0. Calculate s.
-10, -1/4, 0, 2
Let x(z) = 9*z**3 + 14*z**2 + 59*z + 72. Let a(h) = -31*h**3 - 42*h**2 - 178*h - 216. Let o(f) = 2*a(f) + 7*x(f). Solve o(j) = 0 for j.
-8, -3
Let f be ((-8)/16)/((-1)/6). Let y = f - 0. Factor 2*n**3 - y*n + 2 - 2*n**2 + 3*n - 3*n**3 + n.
-(n - 1)*(n + 1)*(n + 2)
Let k(d) = 20*d**2 - 70*d + 24. Let y(s) = 20*s**2 - 71*s + 24. Suppose 3*r - 21 = -3*n - r, 5*r - 3 = 4*n. Let j(c) = n*k(c) - 2*y(c). Factor j(q).
4*(q - 3)*(5*q - 2)
Find i, given that 30*i - 153/5 + 3/5*i**2 = 0.
-51, 1
Let y = 1298 - 5189/4. Determine w, given that -15/8*w**2 - y - 21/8*w = 0.
-1, -2/5
Let d be 175/(-15) + (-1)/3. Let w be ((-20)/d)/((-4)/(-8)). Factor 5/3*j**3 + 5*j**2 + 0 + w*j.
5*j*(j + 1)*(j + 2)/3
Let o(w) = 10*w**2 + 1. Let a(r) = 11*r**2 + 48*r + 93. Let y(u) = -2*a(u) + 2*o(u). Factor y(g).
-2*(g + 2)*(g + 46)
Let d(m) = -3*m**5 - 6*m**4 + 10*m**2 + 5. Let x(s) = -s**5 - s**4 + 2*s**2 + 1. Let c(r) = d(r) - 5*x(r). Solve c(i) = 0 for i.
0, 1/2
Let m = -44 - -55. Let 5*r - m*r**2 + 11*r**2 + 4 + r**2 = 0. What is r?
-4, -1
Let l(d) be the first derivative of -20*d - 14/3*d**3 + 5 + 37*d**2. Let l(g) = 0. Calculate g.
2/7, 5
Let v(q) = q**3 + 21*q**2 - 26*q - 88. Let o be v(-22). Let l = -75/11 - -7. Let -l*k + o + 2/11*k**2 = 0. What is k?
0, 1
Let g be (-2 - -6)*(-822)/1188. Let b = -28/11 - g. Find p, given that 0 - 2/9*p**3 - b*p - 4/9*p**2 = 0.
-1, 0
Let c(m) be the third derivative of 1/320*m**6 - 18*m**2 + 1/64*m**4 + 0*m**3 + 0 + 0*m - 1/80*m**5. Suppose c(o) = 0. What is o?
0, 1
Let f = -53 - -54. Suppose 0 = 2*n - 2, 2*g - 5*n = f - 0. Factor -3/2*v - 3/2*v**2 - 1/2*v**g - 1/2.
-(v + 1)**3/2
Let w(k) be the first derivative of 17/18*k**4 + 15 + 13/9*k**2 + 4/9*k + 16/9*k**3 + 8/45*k**5. Find p, given that w(p) = 0.
-2, -1, -1/4
Factor -30 - 318*b**2 - 310*b - 430*b**3 + 210*b + 110*b**3 - 1682*b**2 - 385*b.
-5*(b + 6)*(8*b + 1)**2
Let j be (8/(-12))/(2/(-6)). Let z(y) be the first derivative of j*y + 0*y**2 + 4 - 2/3*y**3. What is l in z(l) = 0?
-1, 1
Let d(n) be the first derivative of n**6/75 - n**5/10 + 4*n**4/15 - 4*n**3/15 + 10*n - 1. Let m(s) be the first derivative of d(s). What is p in m(p) = 0?
0, 1, 2
Let w(h) = -18*h + 22. Let s be w(1). Let k(z) be the first derivative of 1/4*z**s - 4 - 1/2*z**2 - 1/12*z**3 + 1/4*z. Solve k(r) = 0.
-1, 1/4, 1
Let s(q) be the first derivative of -28/33*q**3 + 2/55*q**5 - 34 - 1/33*q**6 + q**2 + 3/11*q**4 - 6/11*q. Let s(r) = 0. What is r?
-3, 1
Let j(o) = -2*o**2 - 20*o - 10. Let f be j(-8). Let i be (-48)/(-99) - (-4)/f. Factor -1/3 - i*s - 1/3*s**2.
-(s + 1)**2/3
Let p be (9/9)/(-3 + 10/3). Let b(u) be the first derivative of 1/18*u**3 + 1/6*u - 1/6*u**2 + p. Determine z so that b(z) = 0.
1
Let l be (8/6)/(5/15). Let -3 + 24*m**2 + 25*m**2 - l*m - 50*m**2 = 0. What is m?
-3, -1
Let o(z) be the second derivative of -15*z + 1/3*z**3 - 1/10*z**5 + 0 + 0*z**2 + 1/6*z**4 - 1/15*z**6. Factor o(a).
-2*a*(a - 1)*(a + 1)**2
Let p(s) be the second derivative of 26*s - 8*s**2 + 4/3*s**3 - 1/10*s**5 + 1/3*s**4 + 0. Factor p(j).
-2*(j - 2)**2*(j + 2)
Let h(j) be the third derivative of -j**5/12 + 105*j**4/8 - 155*j**3/3 - 4*j**2 - 22. Factor h(o).
-5*(o - 62)*(o - 1)
Let b(w) be the first derivative of -w**6/45 - w**5/30 + w**4/18 + w**3/9 - 23*w - 19. Let a(s) be the first derivative of b(s). Suppose a(v) = 0. Calculate v.
-1, 0, 1
Let g be (5/7 + -1)/(33/(-264)). Factor 10/7*x**2 - 8/7 + g*x.
2*(x + 2)*(5*x - 2)/7
Let i = -2927/12 + 244. Let j(p) be the first derivative of 1/4*p**5 + 3/16*p**4 + i*p**6 + 6 + 0*p - 1/12*p**3 - 1/8*p**2. Solve j(d) = 0 for d.
-1, 0, 1/2
Let q(y) be the first derivative of -40 - 2/21*y**3 - 14*y + 2*y**2. Determine w so that q(w) = 0.
7
Let q be (-27)/(-3) + (-138)/6 - -17. Find r, given that 3/4*r**5 + 39/4*r**3 + 9/2*r**4 + 0 + 9*r**2 + q*r = 0.
-2, -1, 0
Let n(j) be the second derivative of -j**6/2 + 131*j**5/4 + 55*j**4/3 - 211*j. Find c such that n(c) = 0.
-1/3, 0, 44
Let i(k) be the first derivative of -1/180*k**6 + 0*k + 7/3*k**3 + 1/60*k**5 + 0*k**2 - 7 + 0*k**4. Let z(o) be the third derivative of i(o). Factor z(l).
-2*l*(l - 1)
Suppose -4 = -0*b - 2*b - 4*q, b - 5*q = 2. Suppose -3 = b*z - 7. Factor a**2 - z*a**2 + 2*a**2 + 2*a**3 + 3*a**2 + 2*a.
2*a*(a + 1)**2
Let t = -812 + 5694/7. Let q = -76/63 + t. Factor -q*g**3 + 2/9*g + 0*g**2 + 0.
-2*g*(g - 1)*(g + 1)/9
Suppose -4*b + 16 + 36 = 0. Suppose -s = -b + 8. Solve -2/3*a**s - 2/3 - 4/3*a**3 - 4/3*a**2 + 2*a**4 + 2*a = 0 for a.
-1, 1
Let g(w) be the third derivative of w**5/330 - 4*w**4/33 + 5*w**3/11 + 62*w**2. Let g(j) = 0. What is j?
1, 15
Let l(h) = -5*h**2 + 5*h + 3. Let f(j) = 2*j**2 + j + 1. Let i(u) = 6*f(u) - 2*l(u). Factor i(o).
2*o*(11*o - 2)
Let a(r) be the first derivative of -r**4/21 + 20*r**3/21 - 50*r**2/7 - 4*r - 8. Let w(n) be the first derivative of a(n). Factor w(z).
-4*(z - 5)**2/7
Factor -65*y + 121*y + 3*y**2 + 0*y + 2883 + 130*y.
3*(y + 31)**2
Let a(l) be the third derivative of -l**7/1260 + l**6/72 - 11*l**5/120 + l**4/4 + 32*l**2. Factor a(q).
-q*(q - 4)*(q - 3)**2/6
Solve -3/2*f**4 - 9*f**3 - 27/2*f**2 - 6*f + 0 = 0 for f.
-4, -1, 0
Factor 3/8 - 15/8*w**3 + 15/8*w - 3/8*w**2.
-3*(w - 1)*(w + 1)*(5*w + 1)/8
Let z = 61/170 + 12/85. Let t be (-6)/8*2/(-3). Factor o + t*o**4 - o**3 + 0*o**2 - z.
(o - 1)**3*(o + 1)/2
Let s(l) = l**5 - 9*l**4 + 7*l**3 + l**2 - 4*l + 8. Let z(h) = -h**5 + 8*h**4 - 7*h**3 - h**2 + 5*h - 7. Let w(u) = 3*s(u) + 4*z(u). Factor w(v).
-(v - 2)**2*(v - 1)**2*(v + 1)
Let v be (-5262)/(-1754) + (-1)/(0 - -1). Factor 1/6*j**4 + 0 + 0*j - 1/6*j**5 + 0*j**v + 0*j**3.
-j**4*(j - 1)/6
Let w(n) be the third derivative of n**7/3360 + n**6/720 - n**5/160 + 3*n**3/2 + 53*n**2. Let k(v) be the first derivative of w(v). Let k(c) = 0. Calculate c.
-3, 0, 1
Let y(j) be the third derivative of -j**8/336 + j**7/210 + j**6/30 - j**5/15 - 3*j**2. Solve y(n) = 0 for n.
-2, 0, 1, 2
Let g(m) be the second derivative of m**9/21168 - m**8/5880 - 25*m**3/6 + 10*m. Let t(h) be the second derivative of g(h). Factor t(k).
k**4*(k - 2)/7
Let p(f) be the third derivative of f**3 - 1/15*f**6 + 41*f**2 + 0*f - 1/105*f**7 + 0 + 1/3*f**4 - 1/15*f**5. Factor p(w).
-2*(w - 1)*(w + 1)**2*(w + 3)
Let i(q) = -4*q**4 - 24*q**3 - 28*q**2 - 20*q. Let b(y) = 59*y + 12*y**4 + 85*y**2 + 8 - 9 + 71*y**3 + 1. Let x(m) = -4*b(m) - 11*i(m). Factor x(c).
-4*c*(c + 1)*(c + 2)**2
Let u(m) = 2*m**4 - 3*m**4 + 31*m**3 + 18*m**2 + 30*m**2 - 12*m**2. Let p(l) = 30*l**3 + 35*l**2. Let z(g) = -6*p(g) + 5*u(g). Factor z(j).
-5*j**2*(j + 2)*(j + 3)
Let y = 933 + -931. Solve 0*k**y + 0 + 2/5*k**3 - 8/5*k = 0 for k.
-2, 0, 2
Let b(p) be the second derivative of 3*p**5/100 + 13*p**4/5 - 64*p - 3. Factor b(v).
3*v**2*(v + 52)/5
Suppose 11*h = -317 + 339. Factor -3/4*o - 3/2*o**h + 0 + 9/4*o**3.
3*o*(o - 1)*(3*o + 1)/4
Factor 2/5*t**2 + 6/5 + 8/5*t.
2*(t + 1)*(t + 3)/5
Let -55*u + 185*u**3 - 7*u**4 - 10*u**3 - 86*u**2 - 8*u**4 - 19*u**2 = 0. What is u?
-1/3, 0, 