a) = 6*b(a) + i(a). Factor r(d).
2*d*(d - 1)*(d + 2)
Suppose -6 = 3*m - 3*h, 26 = -2*m + 4*m + 4*h. Suppose 36*a - m*a**2 - 36*a = 0. What is a?
0
Let w(k) = -2 - k**3 + 1 - 5*k**2 + 6*k**2. Let g(f) = 2*f**4 - 4*f**3 + 2*f**2 - 2. Let a(z) = -g(z) + 2*w(z). Factor a(h).
-2*h**3*(h - 1)
Let z(i) be the third derivative of 1/56*i**4 - i**2 + 3/140*i**5 + 0*i + 0*i**3 + 0 + 1/490*i**7 + 3/280*i**6. What is a in z(a) = 0?
-1, 0
Suppose -2 + 8/5*g + 2/5*g**2 = 0. Calculate g.
-5, 1
Let n(s) be the second derivative of s**10/52920 + s**9/13230 + s**8/11760 - s**4/3 + 3*s. Let u(c) be the third derivative of n(c). Factor u(v).
4*v**3*(v + 1)**2/7
Let m(j) be the first derivative of -5*j**3/3 - 15*j**2/2 - 59. Solve m(h) = 0 for h.
-3, 0
Let m(q) be the third derivative of -q**6/840 + q**5/70 - 3*q**4/56 + 2*q**3/21 + 14*q**2. Factor m(u).
-(u - 4)*(u - 1)**2/7
Find r, given that -1/3*r**4 - 25/3*r - 15*r**2 + 250/3 + 13/3*r**3 = 0.
-2, 5
Let g(l) be the third derivative of -l**6/60 - l**5/3 - 25*l**4/12 + 30*l**2. Factor g(r).
-2*r*(r + 5)**2
Let o(q) = q**3 - 6*q**2 + 6*q - 3. Suppose 19 = 5*y + 2*k, -4*y - 2*k = -6*k - 32. Let b be o(y). Factor -4*m**b + 4 + 3*m**4 - 2 - m**4.
2*(m - 1)**2*(m + 1)**2
Let x(l) be the third derivative of 3*l**6/40 + 2*l**5/5 + 3*l**4/8 - l**3 + 3*l**2. Find q such that x(q) = 0.
-2, -1, 1/3
Let v be -81*(0 + -2)*(-19)/(-152). Solve 1 + v*k**3 + 45/4*k**2 - 8*k = 0.
-1, 2/9
Let l = 7 + -4. Suppose 0 = -l*p - r - 5, p + 4*p - 4*r = 20. Factor p*n**2 + 4/7*n + 2/7 - 2/7*n**4 - 4/7*n**3.
-2*(n - 1)*(n + 1)**3/7
Let a be (-1 - -17)/4 + -4. Determine q, given that 0 + 2/7*q - 2/7*q**3 + a*q**2 = 0.
-1, 0, 1
Let t(r) = -r**2 - 4*r + 6. Let a be t(-5). Let s(b) be the first derivative of b**3 - a + 2/15*b**5 - 5/6*b**2 - 7/12*b**4 + 1/3*b. Factor s(j).
(j - 1)**3*(2*j - 1)/3
Let m(b) be the third derivative of -b**5/36 + 5*b**4/36 - b**2. Find n such that m(n) = 0.
0, 2
Let q be ((-16)/160)/((-4)/30). Let n(g) be the first derivative of -8/3*g**3 - 1 + 2*g**2 + q*g**4 + 0*g. Factor n(j).
j*(j - 2)*(3*j - 2)
Let n(w) = -8*w**3 + 20*w**2 - 14*w - 2. Suppose 0 = 6*x - 23 - 1. Let r(b) = -8*b**3 + 19*b**2 - 13*b - 1. Let h(c) = x*r(c) - 3*n(c). Factor h(q).
-2*(q - 1)*(2*q - 1)**2
Let b(c) be the second derivative of c**5/50 + 2*c**4/15 + c**3/3 + 2*c**2/5 + 16*c. Suppose b(q) = 0. What is q?
-2, -1
Let c be 4/14 - 5/(-7). Suppose 5*i - 13 + c = -3*q, -q + 5 = 2*i. Determine b, given that -2*b**2 + 2*b + 0*b - b + b**i = 0.
0, 1
Let z = 292 - 290. Factor 1/5*a**z - 3/5*a**3 + 3/5*a + 1/5*a**4 - 2/5.
(a - 2)*(a - 1)**2*(a + 1)/5
Find p, given that 2/13*p + 0*p**3 - 2/13*p**5 + 4/13*p**4 - 4/13*p**2 + 0 = 0.
-1, 0, 1
Let u(r) = 5*r**4 - 23*r**3 - 15*r**2 + 90*r. Let s(t) = -15*t**4 + 68*t**3 + 45*t**2 - 270*t. Let c(v) = 3*s(v) + 8*u(v). Find d such that c(d) = 0.
-2, 0, 3
Let q be (-3)/(((-5)/2)/5). Let p(r) = -r**2 + r + 6. Let u(t) = -t**2 + t + 7. Let w(f) = q*u(f) - 7*p(f). Determine g so that w(g) = 0.
0, 1
Let i(h) be the third derivative of h**8/120960 + h**7/15120 + h**5/12 + 2*h**2. Let t(d) be the third derivative of i(d). Factor t(o).
o*(o + 2)/6
Let f(y) be the second derivative of -y**6/480 + y**5/60 - y**4/24 + 7*y**3/6 - 5*y. Let k(b) be the second derivative of f(b). Let k(o) = 0. What is o?
2/3, 2
Let m(d) be the third derivative of 1/72*d**4 - 1/180*d**6 + 5*d**2 + 0*d**7 + 0*d**3 + 0*d**5 + 0*d + 0 + 1/1008*d**8. Let m(l) = 0. What is l?
-1, 0, 1
Solve 1/2*c**4 + 0*c - c**2 + 1/2*c**3 + 0 = 0 for c.
-2, 0, 1
Let f(o) = -3*o + 1. Let t be f(-1). Suppose t*l - 18 = -p, p - 5*l + 30 = 6*p. Factor 4*a**2 - a**3 - a + p*a**2 - 4*a**2 + 0*a.
-a*(a - 1)**2
Let l = -697/2 + 349. Suppose 0*x - l*x**2 + 1/4*x**4 + 0*x**3 + 1/4 = 0. What is x?
-1, 1
Let k(s) be the third derivative of s**6/120 + s**5/20 + s**4/8 + s**3/6 + 4*s**2. Factor k(q).
(q + 1)**3
Suppose 0*i + 3/7*i**3 + 3/7*i**4 + 0*i**2 + 0 = 0. Calculate i.
-1, 0
Let g(x) = 4*x**2 + x. Let v(a) = -7*a**2 - a + 1. Let k(z) = -5*g(z) - 3*v(z). Factor k(q).
(q - 3)*(q + 1)
Let p(r) be the second derivative of -r**7/147 + r**6/35 - r**5/35 - r**4/21 + r**3/7 - r**2/7 - 2*r. Factor p(u).
-2*(u - 1)**4*(u + 1)/7
Let r(n) be the first derivative of -n**4/4 + 4*n**3 - 24*n**2 + 64*n + 6. Factor r(z).
-(z - 4)**3
Let g(q) be the third derivative of q**7/1260 - q**6/270 + q**5/180 + 2*q**3/3 - 3*q**2. Let t(w) be the first derivative of g(w). Find z, given that t(z) = 0.
0, 1
Let b be 12/4 - (-448)/(-150). Let s(j) be the third derivative of -1/525*j**7 - 2/75*j**5 + 0*j**4 + 0*j**3 + 0 - b*j**6 + 3*j**2 + 0*j. What is q in s(q) = 0?
-2, 0
Factor -2*u**2 - u**4 + 0*u**4 + 0*u**2 - 3*u**3.
-u**2*(u + 1)*(u + 2)
Let d be (-1 - 30/(-26))*13. Suppose -2*h**5 - 4/7 + 8/7*h**3 + 6/7*h - 24/7*h**4 + 4*h**d = 0. Calculate h.
-1, 2/7, 1
Suppose 0 = 5*x - 151 + 6. Let s be (2 - x/14)*-4. Find n such that -2/7*n**2 - s*n + 0 = 0.
-1, 0
Suppose h - 2 + 1 = 0. Let w be -2 + h - (-2)/2. Factor 5*a**5 - 7*a**5 + w*a**3 + 2*a**3.
-2*a**3*(a - 1)*(a + 1)
Factor -2/13*q**5 + 0*q + 4/13*q**2 + 0 + 0*q**4 + 6/13*q**3.
-2*q**2*(q - 2)*(q + 1)**2/13
Solve 3*u + 2 - 13 + 5 + 3*u**2 + 0 = 0 for u.
-2, 1
Let b(h) = h**3 + 3*h**2 + 1. Let w be b(-2). Suppose -2/3*l**4 + 2/3*l**2 + 0 - 7/3*l**3 + 7/3*l**w + 0*l = 0. Calculate l.
-1, 0, 2/7, 1
Let l(g) be the first derivative of -1/30*g**6 - 2/15*g**3 + 1/10*g**2 + 2/25*g**5 - 8 + 0*g**4 + 0*g. Factor l(b).
-b*(b - 1)**3*(b + 1)/5
Suppose r = -2*h - 4*r - 10, -2*h = 2*r - 2. Let q = 8 - h. Factor j - q*j**3 + 5*j**3 - j**3 - 2*j.
j*(j - 1)*(j + 1)
Suppose -17 - 3 = 5*l. Let o = -1 - -2. Let v(b) = -5*b**3 - 3*b**2 + 5*b - 5. Let d(a) = -a**3 - a**2 + a - 1. Let p(q) = l*d(q) + o*v(q). Factor p(y).
-(y - 1)**2*(y + 1)
Let d(q) be the first derivative of -q**7/126 - q**6/30 - q**5/20 - q**4/36 + 3*q - 1. Let y(t) be the first derivative of d(t). Solve y(u) = 0 for u.
-1, 0
Let k be (32/6)/((-2)/(-3)). Suppose -3*d - 2*d + q = -k, -5*d + 5*q + 20 = 0. Factor -5*x**2 + 4*x**2 + x**2 - x**2 + d.
-(x - 1)*(x + 1)
Let g be (-72)/(-15)*(-9)/(-27). Let 8/5 + 2/5*o**2 - g*o = 0. Calculate o.
2
Let d(n) be the third derivative of n**6/30 + 2*n**5/5 + 47*n**2 + n. Factor d(b).
4*b**2*(b + 6)
Let r be 2/7*(-126)/27*-3. Factor -1/4*y + 3/4*y**r - 7/4*y**3 + 0 + 5/4*y**2.
y*(y - 1)**2*(3*y - 1)/4
Let r = 31/65 + -1/13. Factor -2/5*n**2 + 0 + r*n.
-2*n*(n - 1)/5
Let r be -5 - (-6)/(24/20). Let a(g) be the first derivative of r*g**2 + 0*g - 1/2*g**6 + 0*g**3 - 1/4*g**4 - 4 + 4/5*g**5. Suppose a(m) = 0. Calculate m.
0, 1/3, 1
Let b = -154/3 - -52. Factor -8/3*c**3 + 4*c**2 + b*c**4 - 8/3*c + 2/3.
2*(c - 1)**4/3
Let o(v) = 5*v**5 - 4*v**4 - 5*v**3 + 4*v**2 - 4. Let p(n) = 5*n**5 - 5*n**4 - 5*n**3 + 5*n**2 - 5. Let l(s) = 5*o(s) - 4*p(s). Factor l(j).
5*j**3*(j - 1)*(j + 1)
Suppose 6 = -h - h. Let i(l) = 4*l**2 + 2*l. Let z(f) = -3*f**2 - f. Let w(k) = h*z(k) - 2*i(k). Factor w(v).
v*(v - 1)
Let j(w) be the first derivative of -w**6/15 + 6*w**5/25 + w**4/10 - 14*w**3/15 + 8*w/5 + 8. Solve j(k) = 0 for k.
-1, 1, 2
Solve -8/13*g + 2/13*g**2 + 8/13 = 0.
2
Let p = -6 - -8. Let r(s) be the third derivative of 0 + 0*s + 0*s**3 + 2*s**p + 1/96*s**4 + 1/840*s**7 - 1/240*s**5 - 1/480*s**6. Factor r(l).
l*(l - 1)**2*(l + 1)/4
Let n(k) be the second derivative of -k**5/80 - k**4/48 - 2*k. Factor n(b).
-b**2*(b + 1)/4
Let p(z) be the first derivative of -z**6/42 + 3*z**5/35 - 3*z**4/28 + z**3/21 - 1. Factor p(h).
-h**2*(h - 1)**3/7
Let s(a) be the third derivative of 0 - 3/50*a**5 - 7/150*a**6 - 3/175*a**7 - 1/420*a**8 + 0*a - 1/30*a**4 + 0*a**3 - 5*a**2. Let s(y) = 0. What is y?
-2, -1, -1/2, 0
Let h(r) be the first derivative of -49*r**5/25 + 63*r**4/10 - 109*r**3/15 + 18*r**2/5 - 4*r/5 + 16. Factor h(l).
-(l - 1)**2*(7*l - 2)**2/5
Let r(a) be the first derivative of -a**4/12 - a**3/3 - a**2/2 - 4*a - 3. Let u(j) be the first derivative of r(j). Determine x, given that u(x) = 0.
-1
Factor 2*f**2 + 2 - 3 + 4*f + 3.
2*(f + 1)**2
Let u(s) be the first derivative of 2*s**3/5 + 2*s**2/5 - 2. Factor u(i).
2*i*(3*i + 2)/5
Let u be ((-6)/(-27))/(2/18). Solve 3*q**3 - 4*q + 3*q**5 - 9*q**3 - 10*q**2 - 3*q**5 + 2*q**5 + u*q**4 = 0.
-1, 0, 2
Determine i so that 0 + 0*i + 1/2*i**2 = 