)**2/3
Suppose -5*q = -9 + 34. Let m be 2*(0 - 3)/(2 + q). Factor 0*t + 2/3*t**4 + 0 - 2/3*t**3 + 0*t**m.
2*t**3*(t - 1)/3
Let g = -30 + 24. Let d be (3 - 2 - 2)/(3/g). Suppose -1/2*w**d + 0*w + w**3 - 1/2*w**4 + 0 = 0. Calculate w.
0, 1
Factor -32/3 - 4/3*x**3 + 1/6*x**4 + 2*x**2 + 16/3*x.
(x - 4)**2*(x - 2)*(x + 2)/6
Let s(j) be the third derivative of -j**6/12 + j**5/90 + 5*j**4/12 - j**3/9 - 42*j**2. Solve s(a) = 0.
-1, 1/15, 1
Let g be (255/(-42) + 6)*14/(-4). Factor 0 - 1/2*w**2 - g*w**3 - 1/4*w.
-w*(w + 1)**2/4
Let c(q) = -7*q**4 - 10*q**3 - 34*q**2 - 21*q. Let w(z) = -2*z**4 - 2*z**2 + z. Let b(x) = -2*c(x) + 6*w(x). Factor b(n).
2*n*(n + 2)**2*(n + 6)
Let p(a) be the first derivative of a**6/12 - 13*a**5/10 + 47*a**4/8 - 23*a**3/6 - 12*a**2 + 18*a - 215. Suppose p(x) = 0. Calculate x.
-1, 1, 6
Let q(g) be the first derivative of 5*g**8/28 + 34*g**7/105 + g**6/15 + 7*g**2/2 - 26. Let z(l) be the second derivative of q(l). Suppose z(d) = 0. Calculate d.
-1, -2/15, 0
Suppose 2*l - 28 = -0*l. Let i be ((-21)/l)/(3/(-20)). Factor -f - 4 - 3*f**2 + i*f + 1 + 6*f**4 - 9*f**3.
3*(f - 1)**2*(f + 1)*(2*f - 1)
Let 30 + 0*d**2 - 110*d**2 - 20*d**3 - 85*d - 25*d**2 = 0. Calculate d.
-6, -1, 1/4
Let m(j) = -3*j**2 + 2*j. Let x be m(3). Let s be 12/28 + (-3)/x. Factor -2/7*f - 2/7*f**3 - s*f**2 + 0.
-2*f*(f + 1)**2/7
Let j = 1081 - 4323/4. Solve j - 1/2*n + 1/4*n**2 = 0.
1
Let o(q) = q**3 - 4*q**2 + 3*q - 1. Let y be o(2). Let h be ((-3)/y)/(2/4). What is a in -10*a**5 - 3*a**3 + 2*a**3 + 11*a**5 + 2*a**4 - 2*a**h = 0?
-2, -1, 0, 1
Let b(j) = 2*j**4 + 154*j**3 - 138*j**2 - 149*j + 136. Let d(t) = -3*t**4 - 306*t**3 + 276*t**2 + 297*t - 273. Let a(k) = -9*b(k) - 5*d(k). Factor a(r).
-3*(r - 47)*(r - 1)**2*(r + 1)
Let t be 18/(-7 + 7 + -1*1). Let y be (-9)/(-54) + (147/t)/(-7). Solve -2/3*m**3 + 2/3*m + 4/3 - y*m**2 = 0.
-2, -1, 1
Let y be (-17)/(-255)*28 + (-2)/3. Factor -3/5 + 0*m**2 + 6/5*m**3 + 3/5*m**4 - y*m.
3*(m - 1)*(m + 1)**3/5
Let g(y) = -2 + 7*y**3 - 6*y**3 + 2 + 6 + y**2. Let i(a) = 2*a**3 + 2*a**2 + 7. Let v(h) = 7*g(h) - 6*i(h). Factor v(b).
-5*b**2*(b + 1)
Factor -49*b**4 + 12 - 51*b**4 + 18*b**2 + 154*b**4 - 24*b - 57*b**4 - 3.
-3*(b - 1)**3*(b + 3)
Let l(t) = t**2 - 86*t - 450. Let z be l(-5). Factor -2/5*w**z + 0*w**3 + 6/5*w**4 - 8/5*w**2 + 0*w + 0.
-2*w**2*(w - 2)**2*(w + 1)/5
Factor 68/7 - 30/7*u - 2/7*u**2.
-2*(u - 2)*(u + 17)/7
Determine d so that -105/2 + 3/2*d**2 + 51*d = 0.
-35, 1
Suppose 118 = 8*k + 78. Let x(g) be the third derivative of 0*g**3 - g**2 - 1/6*g**4 + 0 - 1/30*g**k + 0*g. Determine q, given that x(q) = 0.
-2, 0
Let s(r) = r**2 + 3*r + 1. Let b(x) = 4*x**3 - 25*x**2 + 45*x - 33. Let p(a) = -b(a) - s(a). What is j in p(j) = 0?
2
Suppose 7 = 4*i + d, -3*i - 4*d + 5 - 3 = 0. Suppose -31*t - 45*t + 4*t**i + 64*t = 0. What is t?
0, 3
Let k(g) = g**2 - 16*g - 14. Let u be k(17). Factor -2*c**2 + 15 - u - 12*c + 5*c**2.
3*(c - 2)**2
Let v(a) = 3*a**3 - 5*a**2 + 3*a + 5. Let l(o) = 2 - 7 + 3 - o**3 + 2*o**2 - 2*o + 0*o. Let i(c) = 10*l(c) + 4*v(c). Factor i(y).
2*y*(y - 2)*(y + 2)
Factor 2/9*v**2 - 1/9 - 1/9*v.
(v - 1)*(2*v + 1)/9
Let j = 4 - -2. Let z(y) = -y + 8. Let q be z(j). Suppose 2*d**2 - d**q + 9*d**4 - 10*d**2 - 6*d + 6*d**3 = 0. Calculate d.
-1, -2/3, 0, 1
Let g(o) be the second derivative of o**5/40 + 7*o**4/12 + 5*o**3 + 18*o**2 - 135*o. Factor g(y).
(y + 2)*(y + 6)**2/2
Let a be -16*((-1)/(-2))/(-1). Suppose 13*b - a = 9*b. Factor 4*l**2 - 3*l**2 + 1 - b + 0.
(l - 1)*(l + 1)
Let p be 448/(-63)*75/(-20). Factor 5/3*l**2 + p + 40/3*l.
5*(l + 4)**2/3
Suppose -5*l - 3*f = -42, 28 = 3*l - 5*f - 4. Let h = 26 - l. Find a, given that h - 4 - 12*a - 4*a**2 + 3 = 0.
-4, 1
Let n(f) = -3*f - 18. Let h be n(-6). Let r be h/(24/14 - (-12)/42). Factor 0*y**2 - 1/2*y**5 + r*y + 0*y**3 + 0 + 1/2*y**4.
-y**4*(y - 1)/2
Let y(o) = 7*o**3 + 4*o**2 - 7*o + 2. Let m(n) = 20*n**3 + 11*n**2 - 20*n + 6. Let s(d) = 8*d - 2. Let f be s(1). Let z(r) = f*m(r) - 17*y(r). Factor z(g).
(g - 2)*(g - 1)*(g + 1)
Let n(g) be the third derivative of -1/840*g**7 + 1/240*g**5 + 0*g - 16*g**2 + 0 + 0*g**4 - 1/1344*g**8 + 1/480*g**6 + 0*g**3. Factor n(v).
-v**2*(v - 1)*(v + 1)**2/4
Let l(r) be the third derivative of -r**7/2520 - r**6/540 - 2*r**3/3 - 2*r**2. Let g(f) be the first derivative of l(f). Factor g(y).
-y**2*(y + 2)/3
Let o(i) be the third derivative of i**8/2016 + i**7/105 + i**6/90 - 19*i**5/180 - 19*i**4/48 - 11*i**3/18 - 336*i**2. Find z, given that o(z) = 0.
-11, -1, 2
Let p be 27/(-10) + 7 - (-2)/((-120)/18). Factor -8/13*j**2 + 0*j**3 + 0 + 2/13*j**5 + 0*j + 6/13*j**p.
2*j**2*(j - 1)*(j + 2)**2/13
Determine d so that -11/4*d**2 - 9/4*d + 1/2 = 0.
-1, 2/11
Let d = -62 + 74. Let q(r) = -10*r**3 - 6*r**2 + 6*r + 2. Let v(x) = x**3 + x**2. Let z(t) = d*v(t) + q(t). Solve z(c) = 0 for c.
-1
Let t(s) be the first derivative of -s**4/16 + s**3/6 + s**2 + 51. Factor t(r).
-r*(r - 4)*(r + 2)/4
Let f(y) be the second derivative of 0*y**2 + 0 - 1/15*y**6 - 1/3*y**4 - 13*y + 0*y**3 - 3/10*y**5. Let f(r) = 0. What is r?
-2, -1, 0
Suppose 20*h + 42 - 42 = 0. Let x(m) be the first derivative of 2 - 1/11*m**4 + 2/11*m**2 + 2/33*m**3 - 2/55*m**5 + h*m. Suppose x(l) = 0. Calculate l.
-2, -1, 0, 1
Let o(b) be the first derivative of 4*b**5/15 - 23*b**4/3 + 80*b**3/3 - 691. Factor o(d).
4*d**2*(d - 20)*(d - 3)/3
Let n be 24/36 + (-57)/225*2. Let i = 6/275 + n. Factor -2/11*l**4 + 0*l**2 + 0 + 0*l - i*l**3.
-2*l**3*(l + 1)/11
Factor -11*a**3 + 5*a**4 - 40*a**3 - 40 + 29*a + 41*a - 14*a**2 - a**2 + 31*a**3.
5*(a - 4)*(a - 1)**2*(a + 2)
Let f be 4 - 325/(-30)*18/(-60). Solve 1/2 + f*v + 1/4*v**2 = 0 for v.
-2, -1
Let y be 16/9 + (-1 - 110/(-90)). Let h(o) be the first derivative of 0*o**5 - 1/24*o**6 + 0*o + 1/8*o**4 + 2 - 1/8*o**y + 0*o**3. Determine m so that h(m) = 0.
-1, 0, 1
Let z be ((-32)/12)/(-4) - (-7 - 24/(-4)). Let -z*i - 1/3*i**2 + 0 = 0. What is i?
-5, 0
Let r be (-65)/117*2/(-15). Let j(f) be the third derivative of -5/108*f**4 + 0 + r*f**3 - 5*f**2 + 0*f + 1/108*f**6 - 1/135*f**5. Factor j(u).
2*(u - 1)*(u + 1)*(5*u - 2)/9
Suppose 0*b - 356 + 293 = -21*b. Find y, given that -4/3*y - 1/3*y**b - 5/3*y**2 + 0 = 0.
-4, -1, 0
Let z(r) be the third derivative of -r**8/3360 + r**7/3780 + 2*r**5/15 - 19*r**2. Let g(x) be the third derivative of z(x). Factor g(h).
-2*h*(9*h - 2)/3
Let x(w) be the first derivative of -w**6/3 + 16*w**5/5 - 21*w**4/2 + 12*w**3 + 411. Find o, given that x(o) = 0.
0, 2, 3
Let o(r) be the first derivative of -2*r**5/15 - 23*r**4/30 - 6*r**3/5 - 3*r**2/5 + 164. Find q, given that o(q) = 0.
-3, -1, -3/5, 0
Determine z, given that -408/5*z - 144/5 - 289/5*z**2 = 0.
-12/17
Let t(y) be the second derivative of -y**5/110 - 5*y**4/66 - 7*y**3/33 - 3*y**2/11 - 9*y - 1. Factor t(h).
-2*(h + 1)**2*(h + 3)/11
Let g(x) = x**3 - 9*x**2 + 5*x + 28. Let u be g(8). Suppose 0 = d, 10 = z + u*z + 3*d. Factor 14/3*s**3 + 6*s**z + 0 + 4/3*s.
2*s*(s + 1)*(7*s + 2)/3
Let q(w) be the second derivative of -26*w**6/135 - 11*w**5/6 + 13*w**4/6 - 14*w**3/27 + 464*w. Determine u, given that q(u) = 0.
-7, 0, 2/13, 1/2
Suppose 25*i = -2*n + 21*i + 22, n = 4*i - 13. Let m(d) be the third derivative of -1/44*d**4 - 4/33*d**n + 0 + 2*d**2 + 1/330*d**5 + 0*d. Factor m(f).
2*(f - 4)*(f + 1)/11
Let i be (-2)/((-8)/(72/405))*(2 + 38). Suppose 0 + 0*k**2 - 4/9*k**3 + i*k = 0. Calculate k.
-2, 0, 2
Let m(g) be the second derivative of g**5/8 - g**4/48 - 13*g**3/6 - 5*g**2/2 + 16*g. Factor m(r).
(r + 2)*(2*r - 5)*(5*r + 2)/4
Let -4/3*u**4 + 4*u**2 - 2 + u**3 - 1/3*u = 0. What is u?
-1, 3/4, 2
Suppose 24*q = 9*q. Factor 0*v - 1/5*v**3 - 1/5*v**4 + q + 1/5*v**2 + 1/5*v**5.
v**2*(v - 1)**2*(v + 1)/5
Let s be (1/(-2) - 39/18) + 3. Let d = -199/3 + 67. Factor -s*a**2 - d*a - 1/3.
-(a + 1)**2/3
Suppose 13*w - 18*w = 0. Let b(h) be the second derivative of 0*h**4 + 0*h**3 + 0*h**2 + w*h**6 - 1/30*h**5 + 0 + 5*h + 1/63*h**7. Suppose b(q) = 0. What is q?
-1, 0, 1
Let s(u) be the second derivative of u**3/6 + 10*u. Let f be s(3). Factor 4*p - 4*p**2 - 2*p**2 + 5*p**f - 3*p**3.
2*p*(p - 2)*(p - 1)
Suppose 2*i + 10 = 0, -17 = -z + 7*i - 4*i. Suppose 8 = 2*p - 4*p - 2*o, -z*p + 5*o = -20. Factor 0*g - 2/9*g**4 - 2/9*g**3 + 0*g**2 + p.
-2*g**3*(g + 1)/9
Solve 10/13 