= 114 + a. Suppose q**2 + 44 - h = 0. Calculate q.
0
Factor 2*j**2 + 6*j**4 - 11*j**4 - 16 + 8*j**2 + 11.
-5*(j - 1)**2*(j + 1)**2
Factor -15/7*l**3 + 78/7*l**2 - 18/7 + 75/7*l.
-3*(l - 6)*(l + 1)*(5*l - 1)/7
Solve 1008 + 4264*z - 34020*z**3 - 9689*z - 3119*z + 375*z**5 + 8799*z**4 + 26256*z**2 + 6126*z**4 = 0.
-42, 2/5, 1
Let m(s) be the second derivative of -s**6/120 + s**5/10 - 3*s**4/8 + 27*s**2/8 + 3*s - 1. Factor m(t).
-(t - 3)**3*(t + 1)/4
Let t be ((-1)/3)/(3 + 28/(-9)). Suppose 0*d - t*d = -4*f - 9, 2*d - f - 6 = 0. Factor -3/5*v + 0 - 9/5*v**4 - 21/5*v**3 - d*v**2.
-3*v*(v + 1)**2*(3*v + 1)/5
Let k(m) be the first derivative of 8/3*m + 11 - 4/5*m**5 - 4/3*m**4 + 3*m**2 - 1/9*m**6 + 4/9*m**3. Suppose k(l) = 0. Calculate l.
-4, -1, 1
Let o(m) be the third derivative of m**6/24 + 11*m**5/3 + 425*m**4/24 + 35*m**3 - 2*m**2 + 226*m. Solve o(n) = 0 for n.
-42, -1
Let y(f) = -f**2 - 7*f. Let j be y(-7). Factor 16*k**2 + j*k**5 - 2 + k**5 + 4*k**4 + 4*k**3 - 5*k - 18*k**2.
(k - 1)*(k + 1)**3*(k + 2)
Suppose -2*a - 8 = -6*a. Let 7*o + 5*o**3 - 12*o + a*o**2 - 2*o**2 = 0. What is o?
-1, 0, 1
Let 46/3 + 94/3*q + 4/3*q**2 = 0. Calculate q.
-23, -1/2
Let s be 153/(-6)*-50 + 3. Suppose 2*k + s = 8*k. Find t such that 4*t**3 + t**2 + k + 3*t**2 - 211 - 7*t = 0.
-2, 1/2
Let y be 34998/24444 + (-10)/35. Let c = y + 2/97. Solve -1/2*s**2 + c*s + 1 = 0 for s.
-2/3, 3
Let y(n) be the first derivative of n**4 + 16*n**3/3 + 40. Factor y(w).
4*w**2*(w + 4)
Let q(m) be the third derivative of -16/9*m**3 + 0 + 23/315*m**7 - 1/168*m**8 - 4/9*m**4 + 0*m - 39*m**2 - 16/45*m**6 + 4/5*m**5. Find d such that q(d) = 0.
-1/3, 2
Let n(p) = -3*p**2 + 21*p + 29. Let u(o) = -2*o**2 + 20*o + 26. Let i(y) = 4*n(y) - 5*u(y). Suppose i(q) = 0. Calculate q.
-7, -1
Let y(d) = -d**2 - 12*d + 33. Let u be y(-14). Suppose -n**2 + 8 + u*n**2 + 5*n**2 + 32*n + 5*n**2 = 0. What is n?
-2, -2/7
Let h(g) = -g + 10. Let w be h(8). Let t(f) = -108*f**3 - f**2 - 2*f - 1. Let i be t(-1). Determine m, given that -m**2 - w - i*m + 104*m - m**2 = 0.
-1
Let c(z) = 2*z**2 - 4*z - 3. Let u(v) = 3*v**2 - 7*v - 5. Let b(k) = -5*c(k) + 3*u(k). Let f(p) = -3*p**2 - 3*p. Let i(a) = 17*b(a) - 6*f(a). Factor i(j).
j*(j + 1)
Let o(r) = 2*r**2 + 8*r - 10. Let u(m) = -2*m**2 - 9*m + 11. Let b be (-9)/(-12)*-2*10/(-3). Let s(x) = b*o(x) + 4*u(x). Factor s(c).
2*(c - 1)*(c + 3)
Suppose -i - 5*z + 24 + 4 = 0, -2*i - 5*z + 36 = 0. Suppose -i*n = -3*n - 15. Factor -1/3 - r - 1/3*r**n - r**2.
-(r + 1)**3/3
Let x(i) be the first derivative of i**5/30 - i**4/3 + 23*i**3/18 - 7*i**2/3 + 2*i - 89. Factor x(y).
(y - 3)*(y - 2)**2*(y - 1)/6
Suppose -1 = -3*k + 2. Let x(i) = -i**5 - i**3 - i**2 + i + 1. Let m(b) = -2*b**5 - 4*b**4 - 7*b**3 - b**2 + 4*b + 5. Let n(d) = k*m(d) - 5*x(d). Factor n(g).
g*(g - 1)**2*(g + 1)*(3*g - 1)
Let o(h) be the first derivative of h**6/15 + 2*h**5/25 - h**4/5 - 4*h**3/15 + h**2/5 + 2*h/5 - 280. Suppose o(a) = 0. Calculate a.
-1, 1
Let h = 99963/25 - 3998. Let f = h + -3/25. Suppose f*m**3 + 0*m + 0 + 0*m**2 = 0. What is m?
0
Let h(m) be the second derivative of -18*m + 0*m**6 - 5/6*m**3 + 0 + 0*m**4 + 1/2*m**5 + 0*m**2 - 5/42*m**7. Find s, given that h(s) = 0.
-1, 0, 1
Let v(r) be the second derivative of r**6/75 + r**5/5 + 3*r**4/10 - 35*r. Factor v(s).
2*s**2*(s + 1)*(s + 9)/5
Let c(r) be the first derivative of r**4/20 + 116*r**3/15 + 3477*r**2/10 + 6498*r/5 + 447. Factor c(w).
(w + 2)*(w + 57)**2/5
Let z(p) be the second derivative of p**6/6 + 5*p**5/2 + 40*p**4/3 + 95*p**3/3 + 75*p**2/2 + 9*p + 17. Factor z(o).
5*(o + 1)**2*(o + 3)*(o + 5)
Let i = -3299 + 3299. Factor -2/7 + 2/7*u**2 + i*u.
2*(u - 1)*(u + 1)/7
Let n(k) be the third derivative of k**5/30 + k**4/12 - k**3/3 - 5*k**2. Let l be n(-2). Let -19*i**2 + l*i + 21*i**2 - i = 0. What is i?
-1/2, 0
Let j be ((-294)/(-48))/(6 + (-66)/12). What is y in -j - 1/4*y**2 + 7/2*y = 0?
7
Suppose -12*o + 22 = -2. Let y be ((-16)/6)/(o/(-3)). Factor -2/11*p**5 + 0*p**3 + 4/11*p**y + 0 + 2/11*p - 4/11*p**2.
-2*p*(p - 1)**3*(p + 1)/11
Let j be 3/(6 + (-5 - -2)) - -1. Suppose -6*f + 3*f = -2*m, -j*m = -5*f. Determine a so that 0 - 1/2*a**2 - 1/2*a**3 + f*a + 1/2*a**4 + 1/2*a**5 = 0.
-1, 0, 1
Let v(x) = x**2 + x. Let n be v(3). Solve 27*c**3 - 4*c**4 - n + c**4 - 3*c**2 - 36*c**2 - 9*c**3 + 36*c = 0.
1, 2
Let z(c) = -10*c**2 - 85*c - 559. Let f(s) = -5*s**2 - 3. Let d(n) = 3*f(n) - z(n). What is r in d(r) = 0?
-5, 22
Let u = -61 + 947/15. Let i(k) be the first derivative of 11/5*k**2 + u*k**3 + 7/10*k**4 - 3 + 4/5*k. Suppose i(v) = 0. What is v?
-1, -2/7
Let p = 184101/2104 + -1/2104. Determine n so that -45/2 + 455/2*n**3 + p*n**4 + 165/4*n + 45/4*n**5 + 215*n**2 = 0.
-3, -1, 2/9
Let c(f) be the second derivative of 0 - 1/8*f**5 + 0*f**4 - 1/24*f**6 + 0*f**2 - f + 0*f**3 + 5/168*f**7. Factor c(k).
5*k**3*(k - 2)*(k + 1)/4
Let j = 146 + -376. Let c be j/(-70) - 2/7. Solve -21*n**2 + 6*n + 3*n**c + 15*n - 27 + 24*n = 0.
1, 3
Factor 17*q**3 - 3*q**4 - 99*q**2 + 85*q + 24*q**2 + 8*q**4 - 2*q**3 - 30.
5*(q - 1)**3*(q + 6)
Let g(y) be the second derivative of -y**7/5040 - y**6/360 + y**5/48 - 5*y**4/6 - 7*y. Let l(o) be the third derivative of g(o). Factor l(v).
-(v - 1)*(v + 5)/2
Let p be ((-3)/(-2)*-2)/(-2 - -1). Factor 4*d**2 - 2*d + d**2 + 228*d**4 + 5*d**p - 233*d**4 - 3*d.
-5*d*(d - 1)**2*(d + 1)
Suppose 635 - 627 = 4*s. Find v, given that -18/11*v**4 + 72/11 - 42*v**3 + 54/11*v**5 + 384/11*v + 354/11*v**s = 0.
-3, -1/3, 2
Suppose 3*q + 25 = 2*v, q = 2*q + v. Let g = 0 - q. Factor 41*j**2 + 0*j**3 + 8 - j**2 + g*j**3 + 20*j**5 - 36*j - 48*j**4 + 11*j**3.
4*(j - 1)**3*(j + 1)*(5*j - 2)
Suppose -26*k - 16*k**2 - 4*k**3 + 0*k**3 + 49*k - 39*k = 0. Calculate k.
-2, 0
Factor -2*w**2 + 66*w + w**3 - 6 - w**2 - 67*w + 9*w**2.
(w - 1)*(w + 1)*(w + 6)
Let d(o) be the first derivative of -o**3 + 3*o**2 + 0*o - 3/4*o**4 + 8. Factor d(l).
-3*l*(l - 1)*(l + 2)
Let l(k) be the third derivative of 0 + 0*k**3 + 0*k - 25*k**2 - 1/70*k**7 - 1/336*k**8 + 1/20*k**5 + 1/12*k**4 - 1/120*k**6. What is d in l(d) = 0?
-2, -1, 0, 1
Let k be (-90)/(-12)*(-2)/(-3). Suppose -2*p + 25 = 5*b, -28 + 3 = 4*p - k*b. Factor -1/3*z**3 - 2/3*z**2 + 1/3*z**4 + p*z + 0.
z**2*(z - 2)*(z + 1)/3
Let w(a) be the first derivative of 5*a**6/12 - 2*a**5 + 25*a**4/8 - 5*a**3/3 - 26. Suppose w(h) = 0. Calculate h.
0, 1, 2
Let r = -19409/15 + 1294. Let z(a) be the second derivative of a + 0 + 1/90*a**6 + 1/12*a**4 - 2/3*a**2 + 2/9*a**3 - r*a**5. Determine q, given that z(q) = 0.
-1, 1, 2
Let r = 298 + -136. Let n = -159 + r. Determine p, given that 2/5*p**4 + 0*p - 2/5*p**2 + 0*p**n + 0 = 0.
-1, 0, 1
Let q be 496/(-48) + (-5 - -16). Let 14/3*c**3 + 1/3*c**5 - 2*c**4 - 16/3*c**2 - q + 3*c = 0. What is c?
1, 2
Let a(y) be the first derivative of 21*y**5/20 + 3*y**4 + 3*y**3/2 - 3*y**2 + 11*y - 6. Let s(t) be the first derivative of a(t). Let s(z) = 0. Calculate z.
-1, 2/7
Let w(r) = -45*r**4 + 25*r**3 + 60*r**2 - 20*r - 20. Let t(f) = 67*f**4 - 37*f**3 - 89*f**2 + 29*f + 30. Let q(z) = -5*t(z) - 8*w(z). Factor q(m).
5*(m - 1)**2*(m + 1)*(5*m + 2)
Let v(j) be the third derivative of 0*j**4 - 1/450*j**5 + 0 + 0*j**3 - 2*j**2 + 1/1575*j**7 + 0*j + 0*j**6. Let v(s) = 0. Calculate s.
-1, 0, 1
Let y(w) be the first derivative of 1/12*w**3 - 5/8*w**2 + 1/16*w**4 + 19 + 3/4*w. Solve y(b) = 0.
-3, 1
Let u(h) be the first derivative of -6*h + 2/3*h**3 + 1/6*h**4 + 4 + 0*h**2 - 1/10*h**5. Let p(t) be the first derivative of u(t). Factor p(q).
-2*q*(q - 2)*(q + 1)
Let p(s) = -66*s**2 - 4986*s + 4863. Let j(t) = -5*t**2 - 383*t + 374. Let v(n) = 27*j(n) - 2*p(n). Factor v(w).
-3*(w - 1)*(w + 124)
Factor 3/4 + 0*y + 0*y**3 + 3/4*y**4 - 3/2*y**2.
3*(y - 1)**2*(y + 1)**2/4
Let q(j) be the second derivative of 0 + 2/3*j**4 - 1/10*j**5 + 1/3*j**3 - 17*j - 4*j**2. Factor q(x).
-2*(x - 4)*(x - 1)*(x + 1)
Let v(p) be the first derivative of 2*p**6 + 8*p**5 + 7*p**4 - 16*p**3/3 - 8*p**2 - 106. Solve v(f) = 0.
-2, -1, 0, 2/3
Suppose 555*j - 548*j = 28. Let h(z) be the second derivative of -1/24*z**j - 1/6*z**3 + z**2 + 1/80*z**5 + 0 - z. Factor h(c).
(c - 2)**2*(c + 2)/4
Let x(r) = 26*r**2 - 34*r + 128. Let g(o) = -3*o**2 + o - 2. Let j(t) = -10*g(t) - x(t). Factor j(k).
4*(k - 3)*(k + 9)
Let h(v) be the s