3 + 3*r**2 + 4*r. Let l be d(3). Let h be -1 - 2/(18/l). Let h*f + 1/3*f**2 + 1/3 = 0. Calculate f.
-1
Let z(v) = -v**3 + 7*v**2 - 5*v - 3. Let f be z(6). Let w(j) be the second derivative of 3*j + 3/10*j**5 + 2/3*j**f + 5/6*j**4 + 0*j**2 + 0. Solve w(r) = 0.
-1, -2/3, 0
Factor 15*w + 5*w**2 + 6 + 7*w**2 - 3.
3*(w + 1)*(4*w + 1)
Let b be 4/6*9/2. Suppose b*l - 12 = -l. Let l*n - 2*n + n**2 + 0*n = 0. What is n?
-1, 0
Let w(l) be the first derivative of -2*l**3/9 - 2*l**2/3 - 2*l/3 + 7. Factor w(o).
-2*(o + 1)**2/3
Factor k**3 + 18/7*k**2 + 20/7*k + 1/7*k**4 + 8/7.
(k + 1)*(k + 2)**3/7
Let g(p) be the second derivative of -p**5/20 + p**4/6 - p**3/6 - 18*p. Let g(d) = 0. What is d?
0, 1
Let n(g) = -2*g**3 - 26*g**2 + 154*g - 246. Let v(y) = -5*y**3 - 51*y**2 + 309*y - 491. Let j(h) = 9*n(h) - 4*v(h). Factor j(p).
2*(p - 5)**3
Let d(z) be the second derivative of -z**4/4 + 6*z**2 - 7*z. Determine a, given that d(a) = 0.
-2, 2
Let p(d) be the first derivative of d**2 + 2*d - 2. Let f be p(9). Factor 10*y + f*y**2 + y**5 + 1 + y**5 + 10*y**4 + 1 + 20*y**3.
2*(y + 1)**5
Let k = 21 + -8. Determine d, given that 5*d**2 - 13*d + k*d - d**2 + 2*d**3 = 0.
-2, 0
Let w(h) = -h**3 + h**2 + h + 1. Let a(s) = 8*s**3 - 28*s**2 - 32*s - 20. Let y(r) = a(r) + 12*w(r). Factor y(d).
-4*(d + 1)**2*(d + 2)
Let k(g) = g + 7. Suppose -2*w - 3*b - 19 = 0, 0 = -w + 5*b + 9 + 1. Let i be k(w). Factor -1/4*j**4 + 1/4*j**3 + 0*j + 0 + 0*j**i.
-j**3*(j - 1)/4
Determine s, given that 17/5*s - 2/5 - 3*s**2 = 0.
2/15, 1
Let r be (14/8)/((-7)/(-28)). Let o(i) = i**2 - 7*i + 5. Let q be o(r). Factor -2*g + 8*g**2 - 12*g**3 + 0*g + g**4 + 7*g**4 - 2*g**q + 0*g.
-2*g*(g - 1)**4
Let a be ((-35)/28)/((-2)/8). Let t(i) be the third derivative of 1/84*i**6 - 2/21*i**3 - 3/70*i**a + 0*i + 1/12*i**4 + 2*i**2 + 0 - 1/735*i**7. Factor t(p).
-2*(p - 2)*(p - 1)**3/7
Suppose -h + 14 = 3*p, 5*p + 22 = h - 0. Let z = 24 - h. Factor 4*l**4 - 2*l**3 + l**4 - 4*l**4 + z*l**4.
2*l**3*(4*l - 1)
Let q = -100/7 - -102/7. Solve q*i**3 - 4/7*i**2 + 2/7*i + 0 = 0 for i.
0, 1
Let w = 6/7 + -5/14. Let g(i) be the first derivative of -1/2*i**2 - 3 - w*i**3 - 1/8*i**4 + 0*i. What is l in g(l) = 0?
-2, -1, 0
Factor 0*n - 1/3*n**4 - 1/3*n**2 + 0 - 2/3*n**3.
-n**2*(n + 1)**2/3
Let u be ((-2)/3)/1*-3. Let l(k) = k**2 + k - 3. Let a be l(-3). Let -u*g**2 - 13*g**3 - 2*g**2 + 4*g + 2*g**4 + 8*g**5 + 4*g + 2 - 3*g**a = 0. Calculate g.
-1, -1/4, 1
Factor -64/7*n**3 + 0 + 36/7*n**4 + 20/7*n**2 + 8/7*n.
4*n*(n - 1)**2*(9*n + 2)/7
Let r(n) = n + 1. Let u be r(-1). Let o = 2 - u. Suppose -g + g - 4*g**o + g = 0. Calculate g.
0, 1/4
Let q(b) = -18*b**4 - 127*b**3 - 218*b**2 - 108*b - 9. Let a(c) = -9*c**4 - 63*c**3 - 109*c**2 - 54*c - 5. Let l(o) = -7*a(o) + 3*q(o). Factor l(u).
(u + 2)*(u + 4)*(3*u + 1)**2
Let h = -2 - 0. Let s be (4 - 0) + h/(-2). Determine j so that j**4 - 6*j**2 + 0*j**4 + s*j**2 + j - j**3 = 0.
-1, 0, 1
Suppose 0 = -6*z - 11 + 35. Solve -21/2*b**z + 63/2*b**2 - 6 + 12*b + 3*b**3 = 0 for b.
-1, 2/7, 2
Let z(f) = -f**3 - 6*f**2 + 7*f - 7. Let m be z(-7). Let j = m + 7. Suppose 2/5*c**3 + j*c + 6/5*c**2 - 8/5 = 0. What is c?
-2, 1
Suppose -4*f - 3*s + 24 = 0, 5 = 3*f - 3*s + 2*s. Let 2*y**f + 2*y**2 + 0 + 4*y**2 + 4*y + 0 = 0. What is y?
-2, -1, 0
Suppose 0 + 6 = s. Factor 2*i**2 + 3 - s + 3.
2*i**2
Factor 1/5*u**2 - 1/5*u - 2/5.
(u - 2)*(u + 1)/5
Let g(p) = 6*p**3 - 2*p**2 + 1. Let z be g(1). Let a(l) be the second derivative of -19/20*l**z + 0 - 1/6*l**3 + l**2 - 5/4*l**4 - l - 7/30*l**6. Factor a(q).
-(q + 1)**3*(7*q - 2)
Suppose u + i = 4*i + 12, -2*i - 8 = 3*u. Let w = 8 + -8. Factor -2/5*q**3 + w + 2/5*q + u*q**2.
-2*q*(q - 1)*(q + 1)/5
Let n = -14/9 - -563/360. Let m(d) be the third derivative of 0 + 1/6*d**3 - n*d**5 + 1/48*d**4 + 0*d + d**2. Determine z, given that m(z) = 0.
-1, 2
Let q(g) be the third derivative of g**5/40 + g**4/16 - g**3/2 - 2*g**2. Factor q(z).
3*(z - 1)*(z + 2)/2
Let c be 1*22/(-10) + 3. Factor 2/5 + c*y + 2/5*y**2.
2*(y + 1)**2/5
Suppose -3*u = 2*u - 5*r - 30, 0 = -u - 5*r + 18. Let y = -4 + u. Suppose 6*l**3 - 8*l**2 + 2*l - l**y + 2*l**2 - l**4 = 0. Calculate l.
0, 1
Let u = 6/11 + 14/55. Let f = -3 - -3. Factor u*v + 8/5*v**3 + f - 2*v**2 - 2/5*v**4.
-2*v*(v - 2)*(v - 1)**2/5
Let m = -219 - -419. Factor -200 - 3*u**2 + m + 3*u**3.
3*u**2*(u - 1)
Let t(o) be the first derivative of -1/60*o**5 - 1/180*o**6 + o**3 + 0*o**2 - 2 + 0*o + 0*o**4. Let q(r) be the third derivative of t(r). Factor q(g).
-2*g*(g + 1)
Let t(v) be the third derivative of -v**8/504 - v**7/70 - 13*v**6/360 - v**5/36 + v**4/24 + v**3/9 - v**2 - 5*v. What is w in t(w) = 0?
-2, -1, 1/2
Let f(k) be the third derivative of -1/15*k**4 - 1/75*k**5 - k**2 + 0 + 0*k + 1/525*k**7 + 1/15*k**3 - 1/210*k**8 + 2/75*k**6. Determine y, given that f(y) = 0.
-1, 1/4, 1
Determine r, given that 7*r + 5*r**2 - 3*r**2 - 3*r + 0*r = 0.
-2, 0
Suppose 3*d + k + 14 = 0, -3*d - 2 = -k + 5*k. Let i be d*12/(-56) - 1. What is o in -2/7*o**3 + 2/7*o + 0 + i*o**2 - 2/7*o**4 = 0?
-1, 0, 1
Let y(o) = o - 1. Let x(v) = v**2 + 8*v - 5. Let s(l) = x(l) - 5*y(l). Let q be s(-4). Factor 0*k + 0*k**3 + 2/5*k**q - 2/5*k**2 + 0.
2*k**2*(k - 1)*(k + 1)/5
Factor -8*z - 8/3*z**2 - 6.
-2*(2*z + 3)**2/3
Let z(s) = -11*s**4 + 10*s**3 - 5*s**2 + 6. Let b(d) = 32*d**4 - 30*d**3 + 15*d**2 - 17. Let k(f) = 6*b(f) + 17*z(f). Factor k(o).
5*o**2*(o - 1)**2
Let -3*t**5 + 2*t**5 + t**3 + 103*t**2 - 3*t**4 - 100*t**2 = 0. Calculate t.
-3, -1, 0, 1
Suppose -9/5*i - 6/5 + 9/5*i**3 + 33/5*i**2 - 27/5*i**4 = 0. Calculate i.
-1, -1/3, 2/3, 1
Let d(m) be the second derivative of -m**4/36 - m**3/6 - m**2/3 + 9*m. Let d(b) = 0. Calculate b.
-2, -1
Let z(k) be the first derivative of 9*k**5/2 + 561*k**4/32 + 139*k**3/8 + 3*k**2/2 - 3*k/2 - 22. What is q in z(q) = 0?
-2, -1, -1/4, 2/15
Let i(c) = -c**5 + c**2 + c. Let y(l) = 16*l**5 + 8*l**4 - 20*l**2 - 16*l. Let p(n) = -12*i(n) - y(n). Factor p(q).
-4*q*(q - 1)*(q + 1)**3
Suppose 0*o + 2 = -o. Let w = o + 4. Factor -6*h + 0*h + w*h**2 + h + h.
2*h*(h - 2)
Let c(y) be the third derivative of 9*y**5/20 + 2*y**4 - 2*y**3 + 53*y**2. Determine z so that c(z) = 0.
-2, 2/9
Let l(y) be the second derivative of 0*y**4 + 0 + 2/45*y**6 + 1/42*y**7 + 1/60*y**5 + 0*y**2 + 0*y**3 - 3*y. Factor l(z).
z**3*(z + 1)*(3*z + 1)/3
Let q = 99 - 96. Factor 0*a - 1/6*a**q + 2/3 - 1/2*a**2.
-(a - 1)*(a + 2)**2/6
Let p(g) be the first derivative of -8 + 32/7*g**3 + 18/7*g**2 + 16/7*g**4 + 4/7*g. Factor p(a).
4*(a + 1)*(4*a + 1)**2/7
Suppose 0 = 23*y - 21*y - 4. Let o(z) = z. Let j be o(y). Factor 0 + 0*c**j + 0*c - 1/2*c**3 + 1/2*c**4.
c**3*(c - 1)/2
Let o = -1620/7 + 232. Let s(z) be the first derivative of 10/21*z**3 - 9/7*z**2 - 1 + o*z - 2/5*z**5 + 9/14*z**4. Let s(c) = 0. Calculate c.
-1, 2/7, 1
Let s(u) be the third derivative of u**6/200 + u**5/150 - u**4/120 - 2*u**2. Factor s(a).
a*(a + 1)*(3*a - 1)/5
Factor -o**2 - 6*o**2 + o**5 + 10*o**4 + 5*o - 6*o**5 - 3*o**2.
-5*o*(o - 1)**3*(o + 1)
Let n(i) be the second derivative of i**6/45 - 2*i**5/5 + 35*i**4/18 + 4*i**3/3 - 12*i**2 + 31*i. Factor n(z).
2*(z - 6)**2*(z - 1)*(z + 1)/3
Let o(u) be the second derivative of u**6/75 + 2*u**5/25 - u**4/15 - 4*u**3/5 + 9*u**2/5 + 4*u. Solve o(h) = 0 for h.
-3, 1
Let u(z) be the second derivative of -3*z**5/4 - 35*z**4/3 - 275*z**3/6 + 125*z**2 - 18*z. Factor u(j).
-5*(j + 5)**2*(3*j - 2)
Let f(m) = 25*m**2 - 19*m - 4. Let i(y) = 324*y**2 - 246*y - 51. Suppose -2*c = c - 81. Let l(o) = c*f(o) - 2*i(o). Factor l(t).
3*(t - 1)*(9*t + 2)
Let w(u) be the second derivative of -7*u**5/90 - 5*u**4/54 + 2*u**3/27 - 3*u. Factor w(g).
-2*g*(g + 1)*(7*g - 2)/9
Let c(z) = z + 3. Let f be c(0). Factor -50*r**5 - 5*r - 195*r**f + 56*r**2 + 0*r + 57*r**3 + 140*r**4 - 3*r.
-2*r*(r - 1)**2*(5*r - 2)**2
Factor 0*y - 2/19 + 4/19*y**3 + 6/19*y**2.
2*(y + 1)**2*(2*y - 1)/19
What is p in -2 - 7/2*p**2 - 8*p = 0?
-2, -2/7
Factor -3/7*c**2 + 0 + 0*c.
-3*c**2/7
Let c = -6 - -8. Let u be 3 - (2 + (-2)/c). Suppose 0 + 0*a**u + 2/9*a**3 - 2/9*a = 0. What is a?
-1, 0, 1
Find q, given that -4/3*q + 2/9*q**2 + 2 = 0.
3
Let c(g) be the third derivative of 4*g**7/945 - g**6/540 - 2*g**5/45 - 5*g**4/108 + 2*g**3/27 - 5*g**2. What is v in c(v) = 0?
-1, 1/4, 2
Let h(o) = o 