.
3*a*(a - 1)*(a + 2)/5
Let y = 24 + -6. Let f = 22 - y. Factor -7*j**2 - 2*j**3 - j**5 + 3*j**3 + 180 + 3*j**f - 176.
-(j - 2)**2*(j - 1)*(j + 1)**2
Let z(v) = -12*v - 12. Let a be z(-6). Find r, given that -11*r**3 - 24*r**2 + a*r**3 - 13*r**3 - 18*r**4 + 3*r**5 = 0.
0, 2
Let p(u) be the third derivative of u**5/150 + 7*u**4/20 + 98*u**3/15 + 686*u**2. Factor p(c).
2*(c + 7)*(c + 14)/5
Let h(m) = 3*m**5 + 10*m**4 + 15*m**3 - 6*m**2 - 16*m - 2. Let j(x) = x**5 + x**4 + x**2 - 1. Let n(z) = h(z) - 2*j(z). Suppose n(l) = 0. Calculate l.
-4, -1, 0, 1
Let t be (-2)/4 - 1/(-2). What is b in 10*b + b**2 - 2*b**2 + t*b - 25 = 0?
5
Let j be 17*-1*(-5)/(-10). Let y = -47/6 - j. What is l in -4/3*l**3 + 2/3*l**4 + 2/3*l**5 - 4/3*l**2 + 2/3 + y*l = 0?
-1, 1
Let j(z) be the second derivative of 1/4*z**4 - 5/2*z**3 + 9*z**2 + 0 + 13*z. Solve j(f) = 0.
2, 3
Let n(d) = 6*d**3 + 7*d**2. Let c(k) = -k**3 + k**2. Let g(q) = q**3 - 3*q**2. Let i(v) = 6*c(v) + 3*g(v). Let m(y) = 5*i(y) + 3*n(y). Factor m(s).
3*s**2*(s + 2)
Suppose -22 = 3*a - 10. Let l be (a/(4/15))/(-1). Let -l*t + 12*t**2 - 5*t + 5*t - 3*t**3 + 12 - 6 = 0. What is t?
1, 2
Let l be -4 - -2 - -5 - 0. What is n in 4*n**3 - 13*n**2 + 4*n**l + 8*n + 2*n**3 - 11*n**2 = 0?
0, 2/5, 2
Let j = 75 - 51. Factor 11*k - 6 + 2*k - j*k**2 + 18*k**3 - k**3 - 4*k**4 + 4.
-(k - 2)*(k - 1)**2*(4*k - 1)
Let b(z) = -2*z + 1. Let m be b(-2). Suppose m + 3 = 2*x. Find o, given that -4 - 26*o**3 + 34*o**2 - 4*o**x - 3*o + 8*o**5 - 2*o**4 - 3*o = 0.
-2, -1/4, 1
Let l(y) be the second derivative of 7*y**5/100 + y**4/30 + 12*y. Factor l(f).
f**2*(7*f + 2)/5
Let n(r) be the first derivative of 18*r + 14/3*r**3 - 3 + 15*r**2 + 1/2*r**4. Factor n(d).
2*(d + 1)*(d + 3)**2
Let d = 88/23 - 153/46. Let n(o) be the second derivative of 0 - d*o**4 + 16/5*o**2 + 4/25*o**5 - 8/15*o**3 - 1/75*o**6 + 3*o. Solve n(g) = 0.
-1, 1, 4
Let w(s) be the second derivative of -3*s**5/140 - s**4/14 - 13*s. Determine v, given that w(v) = 0.
-2, 0
Let p(t) be the first derivative of t**4/4 - 11*t**3/3 + 2*t**2 + 60*t + 103. Solve p(o) = 0 for o.
-2, 3, 10
Let b = -30 + 34. Suppose -2*u = -2*z - 4, -6*u + b*u = -z - 6. Suppose 36/5*d - 24/5 - 18/5*d**z + 3/5*d**3 = 0. What is d?
2
Suppose 4*o - 22*r + 24*r = -6, 3 = -r. Suppose l + m = 4*l - 4, -4*l + 5*m - 13 = o. Find d such that -7*d**2 - 6/5*d**4 + 4*d + 5*d**l - 4/5 = 0.
1/2, 2/3, 1, 2
Let d be 7/4 - 13/(-52). Suppose 1/5*w**d + 1/5 + 2/5*w = 0. What is w?
-1
Let x = 59/115 + -3/230. Factor 1/4*q**2 + 0 + 0*q - x*q**3 + 1/4*q**4.
q**2*(q - 1)**2/4
Let f(m) be the third derivative of 2*m**7/105 - 13*m**5/15 + 2*m**4 + 118*m**2. Solve f(w) = 0.
-4, 0, 1, 3
Let r be 2/(-1) + (-166)/(-6). Let q = -2549/3 + 866. Find a such that 4/3*a + r*a**3 + 32/3*a**2 + q*a**4 + 0 = 0.
-1, -2/7, 0
Let c(o) be the second derivative of o**6/5 - 3*o**5/4 + o**4 - o**3/2 + 32*o. Factor c(q).
3*q*(q - 1)**2*(2*q - 1)
Let l(n) be the first derivative of n**6/6 + 7*n**5/5 + 7*n**4/2 + 2*n**3/3 - 15*n**2/2 - 9*n + 25. Suppose l(b) = 0. What is b?
-3, -1, 1
Suppose -y - 36 - 4 = 0. Let n = 42 + y. Factor -1/4 + 1/4*b**n + 0*b.
(b - 1)*(b + 1)/4
Let l = 9 - 5. Factor 3*m**4 - 5*m - 6*m**3 - 8*m**l - 9*m**3 - 20*m**2 + 5*m**2.
-5*m*(m + 1)**3
Let q = -60 + 721/12. Let v(w) be the first derivative of 1 + 0*w + q*w**3 - 3/8*w**2. Solve v(s) = 0 for s.
0, 3
Let w(b) be the third derivative of b**7/210 - b**6/10 + 7*b**5/10 - 5*b**4/6 - 25*b**3/2 + 66*b**2. Determine p, given that w(p) = 0.
-1, 3, 5
Let r(p) be the second derivative of -p**6/210 - 2*p**5/35 - p**4/7 + 141*p. Suppose r(x) = 0. What is x?
-6, -2, 0
Let z(b) be the second derivative of b**6/90 + 11*b**5/30 + 59*b**4/12 + 308*b**3/9 + 392*b**2/3 + 173*b. Determine m, given that z(m) = 0.
-7, -4
Suppose 0 = 8*x - 3*x + 60. Let y(f) = -2*f - 22. Let c be y(x). Suppose -2/5 - 1/5*u**c + 3/5*u = 0. Calculate u.
1, 2
Determine f so that 19/4 + 9/2*f**2 + 1/8*f**3 - 75/8*f = 0.
-38, 1
Let l(k) be the second derivative of k**7/21 + 4*k**6/5 - 22*k**5/5 + 3*k**4 + 43*k**3/3 - 30*k**2 + k - 175. Find q, given that l(q) = 0.
-15, -1, 1, 2
Let m = 201 + -196. Let p(i) be the first derivative of 0*i + 1 + 1/2*i**2 + 1/3*i**3 - 1/4*i**4 - 1/5*i**m. Factor p(h).
-h*(h - 1)*(h + 1)**2
Let v(s) be the first derivative of -3*s**5/10 + s**4/2 + 11*s**3/6 - 4*s**2 + 2*s + 86. Find q such that v(q) = 0.
-2, 1/3, 1, 2
Let k be 4 - 0 - ((-520)/39)/10. Determine t so that -2*t**2 - k*t - 8/3 = 0.
-2, -2/3
Suppose 112/5*z**2 + 256/5*z + 7/5*z**5 - 16 - 92/5*z**3 - 23/5*z**4 = 0. What is z?
-2, 2/7, 2, 5
Let k(o) = -25*o**2 - 35*o - 20. Let r(g) = -g**4 + g**2 + g - 1. Suppose 10*v - 4 = 6. Let q(j) = v*k(j) - 5*r(j). Factor q(s).
5*(s - 3)*(s + 1)**3
Let l be 5/(-10)*2 + 20. Suppose 6*d + 7 = l. Factor -1/3*m - 1/6*m**3 - 1/2*m**d + 0.
-m*(m + 1)*(m + 2)/6
Let d(w) = -11*w**3 - 43*w**2 - 190*w - 314. Let h(b) = -5*b**3 - 21*b**2 - 95*b - 159. Let o(m) = -4*d(m) + 9*h(m). Find r, given that o(r) = 0.
-7, -5
Let m(k) = k**2 - 19*k + 59. Let s be m(14). Let u be 106/(-22) - -1 - (7 + s). Factor 18/11 - 12/11*c + u*c**2.
2*(c - 3)**2/11
Let y(p) be the third derivative of 2*p**7/315 + 7*p**6/90 - 8*p**5/45 + 6*p**2 - p. Factor y(i).
4*i**2*(i - 1)*(i + 8)/3
Let w(n) be the first derivative of -2*n**5 - 35*n**4/4 - 35*n**3/3 - 5*n**2 + 97. Factor w(u).
-5*u*(u + 1)*(u + 2)*(2*u + 1)
Let v(y) be the second derivative of y**6/285 + y**5/19 + 11*y**4/38 + 44*y**3/57 + 20*y**2/19 + 2*y - 76. Solve v(p) = 0.
-5, -2, -1
Factor -2*u**4 + 26*u - 70*u**2 + 152*u**2 - 136*u**2 + 30*u**3.
-2*u*(u - 13)*(u - 1)**2
Let x(p) be the third derivative of 0*p + 1/20*p**5 - 3*p**3 + 0 + 5/8*p**4 + 10*p**2. Factor x(m).
3*(m - 1)*(m + 6)
Suppose 11*h - 20 = 7*h. Factor -h*j**4 + 6*j**2 + 8*j**2 - 25*j**3 + 6*j**2 + 10*j**4.
5*j**2*(j - 4)*(j - 1)
Suppose w + 4*w - 15 = 0. Let n = -45739/7 - -45765/7. Find x such that -8/7*x - n*x**w + 24/7*x**2 - 2/7*x**5 + 12/7*x**4 + 0 = 0.
0, 1, 2
Factor 116/9*p + 2/9*p**2 + 1682/9.
2*(p + 29)**2/9
Let a(l) = -l**4 + 112*l**3 - 3359*l**2 + 6386*l - 3138. Let x(p) = -6*p**4 + 671*p**3 - 20153*p**2 + 38317*p - 18829. Let w(t) = 39*a(t) - 6*x(t). Factor w(h).
-3*(h - 56)**2*(h - 1)**2
Determine r, given that 0 + 0*r + 5/6*r**5 + 1/3*r**2 - 1/3*r**4 - 5/6*r**3 = 0.
-1, 0, 2/5, 1
Let u = 28 + -22. Let -3*a + 6*a**2 - 18*a**2 + u*a + 5*a + 4*a**3 = 0. What is a?
0, 1, 2
Suppose -19*j**2 + 0*j**2 + 41*j**2 + 2*j + 14*j**3 - 6 = 0. What is j?
-1, 3/7
Let i(l) = 130*l - 3638. Let a be i(28). Find b such that 8/5 + a*b + 2/5*b**2 = 0.
-4, -1
Let r(x) be the third derivative of x**5/60 - x**4/2 + 23*x**3/6 + 25*x**2. Let d be r(10). What is n in 9/2*n**3 + 0 - 2*n + d*n**2 + 5/4*n**4 = 0?
-2, 0, 2/5
Let v = -3723/110 - -19/55. Let m = 137/4 + v. Factor -m*h + 3/4*h**2 - 3/2.
3*(h - 2)*(h + 1)/4
Let c(d) be the second derivative of -1/60*d**5 + 7/36*d**4 + 0 + 27*d + 5/6*d**2 - 11/18*d**3. Suppose c(w) = 0. What is w?
1, 5
Let j = -32/1193 - -7382/8351. Factor -1/7*t**3 + 0 - j*t - 5/7*t**2.
-t*(t + 2)*(t + 3)/7
Let k = 4 + 1. Suppose -30 - 70 = -k*i. Determine g so that -6*g**4 + 10*g**4 + 4*g**5 - i*g**5 = 0.
0, 1/4
Let s(z) = 3*z**3 + 11*z**2 - 24*z - 36. Let t(o) be the second derivative of -o**5/20 - 31*o. Let u(j) = s(j) + 4*t(j). Factor u(q).
-(q - 6)**2*(q + 1)
Let n(r) be the third derivative of r**5/15 + r**4/6 - 4*r**3/3 - r**2 + 5. Determine p, given that n(p) = 0.
-2, 1
Let c(k) = 2*k**2 - 11*k - 16. Let i be c(7). Let 27*r**4 - 16 - 15*r**2 + 32*r - 27*r**4 - 68*r**3 - 12*r**i + 27*r**2 + 52*r**4 = 0. Calculate r.
-2/3, 1, 2
Suppose -j + 4*j - 6 = 0. Let c = 3328 + -3326. Find q such that -j*q**3 - 1/2*q**4 - c*q - 1/2 - 3*q**2 = 0.
-1
Let t(b) = -7*b**3 + 6*b**2 + 18*b + 10. Let j(g) = -4*g**3 + 3*g**2 + 9*g + 5. Suppose 3*h - h = 2*z, -27 = 5*h + 4*z. Let p(u) = h*t(u) + 5*j(u). Factor p(f).
(f - 5)*(f + 1)**2
Let c(d) be the second derivative of -d**5/10 - 133*d**4/6 - 1496*d**3 - 4356*d**2 - 498*d - 1. Determine w, given that c(w) = 0.
-66, -1
Suppose 0 = -3*u + 5*u + 2*q + 6, 0 = 4*u - 4*q + 4. Let f be (-3)/(-2) + (-2 - -2)/u. Suppose f*l**4 + 3/2*l - 3/2*l**3 + 0 - 3/2*l**2 = 0. What is l?
-1, 0, 1
Let g(t) be the first derivative of -2/9*t**3 + 19 + 1/15*t**5