 - 54*o**2. Suppose s(w) = 0. Calculate w.
133
Let d(n) be the third derivative of -n**7/420 + n**5/60 + 14*n**3/3 - 20*n**2. Let v(z) be the first derivative of d(z). Factor v(c).
-2*c*(c - 1)*(c + 1)
Suppose -4*t = -4*a + 12, 5*t - 33 = -38. Suppose 3*i - 18 = -9. What is c in 75/7*c**a + 3/7*c**5 + 12/7 + 57/7*c**3 + 48/7*c + i*c**4 = 0?
-2, -1
Let o(y) be the first derivative of -y**5/60 - 5*y**4/24 - y**3 + 11*y**2/2 + 4. Let k(j) be the second derivative of o(j). Factor k(q).
-(q + 2)*(q + 3)
Let q be (-972)/1701*7/(-24). Suppose 1/3*y - q*y**2 - 1/6*y**3 + 0 = 0. Calculate y.
-2, 0, 1
Let c(f) be the second derivative of 0*f**2 + 0 + 1/2*f**3 - 3/4*f**4 - 10*f. Let x(w) = 8*w**2 - 3*w - 1. Let m(v) = -5*c(v) - 6*x(v). Let m(u) = 0. What is u?
-1, 2
Let u be 4/18 + (-430)/45 + 9 + 1. Solve -2/3*z**2 + u*z + 0 = 0 for z.
0, 1
Let x(l) be the second derivative of -l**4/12 + 20*l**3/3 + 42*l**2 + 162*l. Find n such that x(n) = 0.
-2, 42
Let w(u) = -5*u**5 - 2*u**4 + 5*u**3 + 2*u**2 - 4*u + 4. Let p(y) = 2901*y**5 + y + 0 - 2900*y**5 - 1 - y**3. Let c(o) = 4*p(o) + w(o). Solve c(g) = 0 for g.
-2, -1, 0, 1
Let g(a) = a**2 - 23 + 13 + 7 - a. Let y(k) = 1. Let z(b) = 2*g(b) + 6*y(b). Factor z(q).
2*q*(q - 1)
What is j in -1/2*j**2 + 11/2*j + 6 = 0?
-1, 12
Let h(g) be the third derivative of g**8/336 + 3*g**7/280 + g**6/80 + g**5/240 - 2*g**2 - 58*g. Factor h(k).
k**2*(k + 1)**2*(4*k + 1)/4
Let m be (-6)/24 + (-34)/(-8). Suppose 6*t - t - 35 = -5*a, -4*a - 44 = -m*t. Solve -1 + t*l - 11*l**2 + l + 3 + 19*l**2 = 0 for l.
-1, -1/4
Let x be -18*(28/(-8) + 3). Factor -x*b**4 - 2*b**4 - 2*b**5 + 7*b**4 + 8*b**4.
-2*b**4*(b - 2)
Let b be (21/(-14))/3 - (-105)/2. Suppose -4 - 4*m**2 - 4 + 42*m**4 + 16*m**5 + 36*m - b*m**3 - 30*m**4 = 0. What is m?
-2, -1, 1/4, 1
Let o be (-1496)/(-4114)*18/4. Let o*z + 0 + 2/11*z**3 - 12/11*z**2 = 0. Calculate z.
0, 3
Suppose -3*x - 2 = m - 3, -5*x + 9 = -2*m. Let p be (1 + m)*2 + 48/18. Find d, given that -p - 1/3*d + 1/3*d**2 = 0.
-1, 2
Let f be 0 - (-3)/1 - 1. Factor 0*y**f + 0*y**2 + 5*y**2 - 20.
5*(y - 2)*(y + 2)
Let f be 3/18 - 50/12. Let i be 160/35 + f + (-6)/(-63). Let 2*m**4 - 2/3*m**5 - 2*m**3 + i*m**2 + 0*m + 0 = 0. Calculate m.
0, 1
Let x(m) be the first derivative of -m**6/70 + 3*m**5/140 + m**4/14 - 9*m - 30. Let z(o) be the first derivative of x(o). Factor z(w).
-3*w**2*(w - 2)*(w + 1)/7
Let g(h) be the first derivative of 1/50*h**5 + 1/30*h**4 + 0*h**2 + 2*h - 1/15*h**3 - 1/75*h**6 - 1. Let d(v) be the first derivative of g(v). Factor d(c).
-2*c*(c - 1)**2*(c + 1)/5
What is t in 3*t**4 + 0 + 0*t + 1/2*t**5 + 9/2*t**3 + 0*t**2 = 0?
-3, 0
Factor n**4 + 0*n + 1/4*n**5 + 5/4*n**3 + 1/2*n**2 + 0.
n**2*(n + 1)**2*(n + 2)/4
Let z(x) = x**3 - 46*x**2 + 10*x - 456. Let b be z(46). Solve -38/7*n**3 - 16/7 - 2*n**b + 8*n + 12/7*n**2 = 0 for n.
-2, 2/7, 1
Let y = 55 - 71. Let w be -14*1/40 - 12/y. Find f such that 2/5*f - 2/5*f**2 - 2/5*f**3 + w = 0.
-1, 1
Suppose -u + 7 = -2. Suppose 0 = 8*y - u*y + 2. Factor y*p**2 - 6*p**3 + 4*p**2 - 5*p**2 + 2*p**2.
-3*p**2*(2*p - 1)
Let u(n) be the third derivative of 6*n**2 + 4/9*n**3 + 1/18*n**4 + 0*n + 0 - 1/45*n**5. Find f, given that u(f) = 0.
-1, 2
Let j(u) be the third derivative of 0*u + 1/16*u**4 + 40*u**2 - 1/56*u**7 - 7/80*u**5 + 9/160*u**6 + 0 + 1/448*u**8 + 0*u**3. Find y, given that j(y) = 0.
0, 1, 2
Let o(i) be the second derivative of -i**8/5040 + i**7/1890 + i**6/270 - 5*i**4/12 + i**3/3 - 5*i + 1. Let z(x) be the third derivative of o(x). Factor z(j).
-4*j*(j - 2)*(j + 1)/3
Suppose -3*p = -4*p + 3*k + 20, k = p - 10. Let x(q) = q**3 + 4*q**2 - 5*q + 3. Let n be x(-5). What is j in -798 - 78*j**2 - p*j**3 + n*j**2 + 173 - 375*j = 0?
-5
Let q = -52 - -54. Let g be 2 - (35/20 - q). Solve 0*t + 3/4*t**5 - 15/4*t**3 + 0 - g*t**2 - 3/4*t**4 = 0 for t.
-1, 0, 3
Let t be 0 + 9 + 11 + -10. Suppose 5*b = -0*b + t. Factor 38*n + 6*n**2 - 2*n**b - 14*n + 36.
4*(n + 3)**2
Suppose -g + 2*d + 6 + 11 = 0, g - 13 = 3*d. Suppose p = -5*k - 5, -2*k - p + g = -6*p. Factor -10*r**2 - 4*r**3 - 4*r - 4*r**3 - 2*r**4 + k*r**2.
-2*r*(r + 1)**2*(r + 2)
Let z(m) be the first derivative of -m**6/315 + m**4/63 - m**2/21 - 16*m + 1. Let q(s) be the first derivative of z(s). Solve q(x) = 0 for x.
-1, 1
Let u(m) be the second derivative of 50*m**7/7 - 42*m**6 + 1323*m**5/20 + 65*m**4/2 - 114*m**3 - 108*m**2 + 191*m. Let u(a) = 0. Calculate a.
-2/5, 3/2, 2
Let c be 5/(1800/(-64))*-160. Find a such that -1/9*a**4 - 16/9*a**3 - 256/9 - c*a - 32/3*a**2 = 0.
-4
Let r(l) be the third derivative of 8*l**2 + 1/240*l**5 + 0 + 0*l + 1/48*l**4 - 1/480*l**6 + 0*l**3. Factor r(g).
-g*(g - 2)*(g + 1)/4
Let i(r) be the first derivative of r**3 + 168*r**2 + 9408*r - 228. Find u, given that i(u) = 0.
-56
Let t(h) be the first derivative of -7*h**6/9 + 2*h**5/3 + 12*h**4 + 152*h**3/9 + 16*h**2/3 - 316. What is s in t(s) = 0?
-2, -1, -2/7, 0, 4
Let u(j) = -j**3 - 8*j**2 + 27*j + 74. Let t be u(-10). Let r(m) be the second derivative of 0 + 1/60*m**t - 1/5*m**2 - 1/30*m**3 - 11*m. Factor r(y).
(y - 2)*(y + 1)/5
Suppose 0 = u + 86 - 6. Let x = -159/2 - u. Solve x*r**2 + 1/2 - r = 0 for r.
1
Let g = -2643 - -7840/3. Let i = 626/21 + g. Factor -16/7 - 8/7*h - i*h**2.
-(h + 4)**2/7
Let d(p) be the first derivative of p**4/16 - 41*p**3/2 + 5043*p**2/2 - 137842*p - 16. Factor d(b).
(b - 82)**3/4
Suppose -254*b = -252*b - 6. Let z(v) be the third derivative of 0 + 0*v**4 - b*v**2 + 1/60*v**6 + 0*v**7 + 0*v**5 + 0*v - 1/168*v**8 + 0*v**3. Factor z(j).
-2*j**3*(j - 1)*(j + 1)
Let r = 692/119 + -94/17. Let q be 96/189 - 6/27. Determine i, given that -q*i**3 - 4/7*i**2 + 4/7 + r*i = 0.
-2, -1, 1
Let l(n) = 2*n**2 - 67*n - 1266. Let y be l(47). Suppose 1/5*m**y + 24/5*m + 16/5 + 9/5*m**2 = 0. What is m?
-4, -1
Let z be (-2)/(-10) - (-2856)/20. Suppose t**2 + 2*t + z*t**3 - 145*t**3 - 2 + t**2 = 0. What is t?
-1, 1
Let z(v) be the second derivative of v**6/180 + 2*v**5/45 - 5*v**4/36 - v**2 - 7*v. Let d(x) be the first derivative of z(x). Let d(p) = 0. Calculate p.
-5, 0, 1
Let j(c) be the second derivative of 1/36*c**4 + 0 - 1/7*c**7 + 0*c**2 + 0*c**3 - 7/36*c**6 - 20*c + 1/40*c**5. What is w in j(w) = 0?
-1, -2/9, 0, 1/4
Factor -53*w**3 - 69*w**3 + 12*w**3 - 42*w**4 - 3 - 116*w**2 - 7 - 57*w + 4*w**3 - 5*w**5.
-(w + 1)**3*(w + 5)*(5*w + 2)
Solve -4/5*t**3 + 0 - 9/10*t**2 + 9/5*t - 1/10*t**4 = 0.
-6, -3, 0, 1
Let s be (-12)/(-5) - 4/10. Let y be (-3)/4*(-6 + s). Determine h, given that 0 + 3/5*h**4 + 6/5*h**y + 0*h + 3/5*h**2 = 0.
-1, 0
Suppose 4*n - 304 = -12*n. Suppose -4*x - 30 = -n*x. Factor 1/2*r**5 - 1/2*r**x - 1/2*r**3 + 0 + 0*r + 1/2*r**4.
r**2*(r - 1)*(r + 1)**2/2
Let j(x) = -x**5 + 7*x**4 + 13*x**3 + 5*x**2 - 12*x - 12. Let i(u) = -u**4 - u**3 + u + 1. Let h(c) = 24*i(c) + 3*j(c). Suppose h(n) = 0. What is n?
-2, -1, 1, 2
Let x be 243*(-3 - (-24)/9). Let d be 5/1 - (x/(-6) - 9). Factor 1 - 1/2*n**2 + d*n.
-(n - 2)*(n + 1)/2
Let p(r) be the third derivative of -r**8/1680 - 2*r**7/105 - 13*r**6/100 + 11*r**5/15 - 121*r**4/120 - 2*r**2 + 3*r. Factor p(v).
-v*(v - 1)**2*(v + 11)**2/5
Suppose 8 = -4*h + 2*h. Let r be 3 + -1 - h - 2. Find i such that -i**2 + r*i + 2 + 2 - 6*i - i**2 = 0.
-2, 1
Suppose 43*a + 44*a = 0. Let d(c) be the second derivative of 0*c**2 + 1/21*c**3 - 5/28*c**4 + 6/35*c**5 - 11/210*c**6 + 10*c + a. Factor d(x).
-x*(x - 1)**2*(11*x - 2)/7
Factor -1/5*s**3 + 288/5 - 96/5*s - 22/5*s**2.
-(s - 2)*(s + 12)**2/5
Let n(k) be the first derivative of 1/4*k**4 + 2 - 3/10*k**5 + 0*k**3 + 0*k**2 + 0*k. Let n(x) = 0. What is x?
0, 2/3
Find l such that 0*l**2 + 4*l + l**2 + 160 + 13*l - 6*l**2 - 172*l = 0.
-32, 1
Let g(d) = d + 10. Let t be g(4). Suppose -5*i + t = 4. Find h, given that 33*h**3 - 36*h**3 + 3*h**4 - 3*h**2 + 3*h + 0*h**i = 0.
-1, 0, 1
Let s(m) be the third derivative of m**7/735 - m**6/20 - m**5/210 + m**4/4 - 3*m**2 - 20. Factor s(l).
2*l*(l - 21)*(l - 1)*(l + 1)/7
Let x(k) be the second derivative of -k**5/190 + k**4/38 + 3*k - 73. Determine i so that x(i) = 0.
0, 3
Let x be (4/3 - 1) + 1782/3402. Let y(d) be the first derivative of -5 - 39/14*d**2 + 20/7*d**3 + x*d. Factor y(l).
3*(4*l - 1)*(5*l - 2)/7
Find x, given that 1/4*x**3 + 15/4*x + 25/4 - 9/4*x**2 = 0.
-1, 5
Let r = 86 + -88