+ 3*i**3 - 4 + 3*i - 2*i**2 + 5. Let y be r(1). Find p, given that 3/2*p**4 - 1/2*p**y + 0 + 0*p - p**3 = 0.
-1/3, 0, 1
Let v = -10 + 18. Let c be 5/30*v/6. Determine h so that -8/9*h + 2/9*h**4 - 8/9*h**3 + 4/3*h**2 + c = 0.
1
Let b(v) = v**3 + 7*v**2 - v - 5. Let z be b(-7). Solve 1/2*c**2 - 2*c + z = 0 for c.
2
Suppose 0 = -0*o + 5*o - 30. Let d be 12/18 - (-224)/o. Let -d*s**4 - 4*s + 3*s**4 + 11*s**3 + 28*s**3 = 0. What is s?
-2/7, 0, 2/5, 1
Let f be 17 + -17 - 4/(-6). Let c(t) be the second derivative of 0 + 0*t**2 + 2*t + 2/5*t**5 + 0*t**3 - 1/15*t**6 - f*t**4. Factor c(x).
-2*x**2*(x - 2)**2
Let v(p) be the third derivative of p**7/630 + p**6/180 - p**4/36 - p**3/18 - 20*p**2. Factor v(r).
(r - 1)*(r + 1)**3/3
Let r be 15/5 - (0 - -2). Suppose 5 + r = 3*k. Factor 0 - 2/9*m**k + 4/9*m - 2/9*m**3.
-2*m*(m - 1)*(m + 2)/9
Let q = -18 - -23. Factor -y**3 + 4*y**5 + 2*y**2 + 2*y - 3*y**4 + y**2 + y**q - 6*y**5.
-y*(y - 1)*(y + 1)**2*(y + 2)
Let y(x) be the second derivative of 5*x**7/42 - 31*x**6/90 + x**5/4 + x**4/12 - x**3/9 + 4*x. Determine t, given that y(t) = 0.
-1/3, 0, 2/5, 1
Suppose -5*a + 12 = -2*a. Let j be 45/6 + (-2)/a. Suppose -5 + j - 3*g**2 + g**2 = 0. Calculate g.
-1, 1
Factor -10*u**3 + 0*u**2 + 0*u + 4*u**4 - 2/5*u**5 + 0.
-2*u**3*(u - 5)**2/5
Let w(g) be the third derivative of g**6/30 - 2*g**5/15 + 6*g**2. Factor w(q).
4*q**2*(q - 2)
Let c = -5 - -11. Suppose -d + c = d. Factor -8*k**4 - 2*k**5 - 25/2*k**d - 1/2 - 7/2*k - 19/2*k**2.
-(k + 1)**3*(2*k + 1)**2/2
Let b(a) be the third derivative of a**8/6720 - a**4/24 - 7*a**2. Let v(f) be the second derivative of b(f). Factor v(s).
s**3
Let p be -2 - (-31 + 1 + -3). Suppose 3*a + 2 = 3*y - 1, 4*y + 5*a - p = 0. Factor 2/7*x**y + 0*x**2 + 4/7*x**3 - 2/7 - 4/7*x.
2*(x - 1)*(x + 1)**3/7
Suppose -4*k + 0*k**2 + k**2 - 15 - 16*k - 6*k**2 = 0. Calculate k.
-3, -1
Solve -14/11*v**2 - 4/11 - 30/11*v = 0 for v.
-2, -1/7
Let b(a) = a**2 - a + 1. Let i(k) = -7*k**2 + 7*k - 5. Let j(v) = 5*b(v) + i(v). Factor j(c).
-2*c*(c - 1)
Let c(u) = u - 1. Let g(x) = -5*x + 6. Let t(v) = 6*c(v) + g(v). Let f(w) = w**2 + 5*w - 2. Let h(q) = f(q) - 4*t(q). Factor h(d).
(d - 1)*(d + 2)
Let j(s) = -s**2 + s. Let o(m) = -9*m**2 + 19*m. Let a(l) = -4*j(l) + o(l). Let a(i) = 0. Calculate i.
0, 3
Let a(l) be the second derivative of l**4/54 + 8*l**3/27 + 16*l**2/9 + 9*l. Factor a(h).
2*(h + 4)**2/9
Let k(v) be the second derivative of v**7/168 + v**6/30 + 3*v**5/80 - v**4/12 - v**3/6 + 3*v. Factor k(p).
p*(p - 1)*(p + 1)*(p + 2)**2/4
Let w = -1615/4 + 410. Find u such that -w*u**5 + u + 21/4*u**3 + 5*u**4 + 0 - 5*u**2 = 0.
-1, 0, 2/5, 1
Let -12*d**4 - 6*d**4 - 5*d**5 + 6*d**2 - 21*d**2 - 35*d**3 - 7*d**4 = 0. What is d?
-3, -1, 0
Suppose -2*i - 3*s - 12 = 0, 3*i + 3*s + 12 = -0*s. Factor 24/5*o**2 + 108/5*o**3 + i + 0*o + 18*o**4 - 15*o**5.
-3*o**2*(o - 2)*(5*o + 2)**2/5
Let p(u) = u**3 + 6*u**2 - 7*u + 4. Let y be p(-7). Factor 13*q + 6 - y*q + 0*q + 14*q + 7*q**2.
(q + 3)*(7*q + 2)
Let p(a) be the third derivative of -4*a**2 - 1/40*a**6 - 1/8*a**4 + 0 + 0*a**3 + 0*a + 1/10*a**5. Suppose p(x) = 0. What is x?
0, 1
Let n(i) be the third derivative of i**9/5040 - i**8/2240 - i**7/420 - i**4/3 - 6*i**2. Let t(h) be the second derivative of n(h). Determine w so that t(w) = 0.
-1, 0, 2
Let y be (-1 - 3)/(-1 - 0). Let z(g) be the second derivative of -g**2 + 2*g + 0 + 1/12*g**y + 1/6*g**3. Factor z(r).
(r - 1)*(r + 2)
Find v such that 7*v**2 + 7*v**3 + 2*v + v**2 + v**2 = 0.
-1, -2/7, 0
Let i(d) = -d**2 - d - 1. Let w(k) = k**3 + 4*k**2 + 5*k - 19. Let o(l) = 3*i(l) - w(l). Factor o(x).
-(x - 1)*(x + 4)**2
Let t(v) be the third derivative of -v**7/840 + v**6/120 - v**5/60 + 8*v**2. Factor t(n).
-n**2*(n - 2)**2/4
Suppose -7 - 3 = -5*t. Find i, given that i**2 - 30 + 18*i - i**2 - 3*i**t + 3 = 0.
3
Let y = 2477/186 + -40/3. Let d = 117/434 - y. Factor -d + 4/7*p - 2/7*p**2.
-2*(p - 1)**2/7
Let z be (1 - 9/15) + 1/(-5). Factor 1/5*n**2 - 2/5*n + 0 + z*n**3.
n*(n - 1)*(n + 2)/5
Let i = -6 - -6. Suppose 3*x - 8*x + 15 = i. Let 1/2*z**x + 0*z**2 + 0 - 1/2*z = 0. Calculate z.
-1, 0, 1
Let d(x) be the third derivative of -x**8/30240 + x**7/5670 - x**6/3240 + x**4/6 - 2*x**2. Let s(l) be the second derivative of d(l). Factor s(g).
-2*g*(g - 1)**2/9
Let k(a) = a**4 - a**3 - a + 1. Let d(m) = m**4 + 2*m**3 - 3*m**2 - 6*m + 6. Let j(l) = -d(l) + 2*k(l). Find x such that j(x) = 0.
-1, 1, 2
Let j(r) = r - 1. Let i be j(2). Let y = i + 1. Factor -7*m**y - 4*m**2 + 5*m**4 - 3*m + 4*m**2 + 3*m**3 + 2.
(m - 1)*(m + 1)**2*(5*m - 2)
Find k such that 21/2*k - 3/2*k**3 - 6 - 3*k**2 = 0.
-4, 1
Let t be (1/(-1))/((-3)/(-6)). Let b(o) = 3*o**2 - 2*o - 5. Let h(p) = 6*p**2 - 5*p - 11. Let g(m) = t*h(m) + 5*b(m). Factor g(x).
3*(x - 1)*(x + 1)
Let s(h) be the first derivative of -1/10*h**2 - 1/25*h**5 + 1/10*h**4 - 1 - 1/5*h + 2/15*h**3 - 1/30*h**6. Factor s(t).
-(t - 1)**2*(t + 1)**3/5
Let t(q) be the second derivative of -q**6/480 - q**5/240 + 7*q**2/2 - 3*q. Let j(v) be the first derivative of t(v). Factor j(l).
-l**2*(l + 1)/4
Let k(l) be the third derivative of 9*l**2 - 5/6*l**4 + 1/15*l**6 + 0 + 1/15*l**5 + 4/3*l**3 + 0*l. Solve k(a) = 0.
-2, 1/2, 1
Factor -8/5 + 0*b + 2/5*b**2.
2*(b - 2)*(b + 2)/5
Let g(w) be the first derivative of w**2 - 2/3*w**3 + 2/5*w**5 + 1 - 1/2*w**4 + 0*w. What is t in g(t) = 0?
-1, 0, 1
Suppose -2/9*x**2 + 0 - 4/3*x = 0. What is x?
-6, 0
Let t(j) = 11*j + 189. Let b be t(-17). Factor 1/6*z**b + 0 - 1/3*z.
z*(z - 2)/6
Let q(u) be the third derivative of -u**5/20 - u**4/8 + 3*u**3 - 63*u**2. Find o such that q(o) = 0.
-3, 2
Let k be (2 - 1)/(-1) + 4. Suppose 20 = 4*r - 0*r. Solve r*g - k*g + g**2 - 3*g = 0 for g.
0, 1
Let d(u) be the second derivative of -u**8/672 - u**7/210 + u**5/60 + u**4/48 + u**2 + 2*u. Let h(j) be the first derivative of d(j). Factor h(r).
-r*(r - 1)*(r + 1)**3/2
Let n = -5/23 - -91/207. Let s(k) be the second derivative of 0 + 8/27*k**3 - n*k**4 + 1/15*k**5 + 3*k + 0*k**2 - 1/135*k**6. Factor s(w).
-2*w*(w - 2)**3/9
Let b(o) = o**2 + o + 2. Let p be b(0). Let t be (1 + 0 - 4)/(-1). Factor i**2 - 2*i**3 - 3*i + i + t*i**p.
-2*i*(i - 1)**2
Let m(r) be the second derivative of -1/36*r**4 + 0*r**2 + 1/60*r**5 - 1/126*r**7 + 1/90*r**6 + 2*r + 0 + 0*r**3. Determine o so that m(o) = 0.
-1, 0, 1
Suppose -3*r = 2*r + 15, -3*p - 5*r - 9 = 0. Determine i so that 2/3*i**3 + 4/3*i**p + 0 + 0*i - 2/3*i**4 = 0.
-1, 0, 2
Suppose 0 = 4*k - 9 + 1. Let a(f) = f**3 + 13*f**2 + 11*f - 12. Let z be a(-12). Determine t, given that -2*t - t**k + z*t**2 + t = 0.
-1, 0
Let y = 7 + -5. Let v be 3 - (-1)/(2/14). Factor v*k**2 - 3*k**2 - 4*k**4 - 3*k**y - 2*k + 2*k**5.
2*k*(k - 1)**3*(k + 1)
Factor 3*q - 4*q - q**2 + 4*q + 0*q**2.
-q*(q - 3)
Let a(z) = -z**2 - 4*z. Let f(v) = -v**2 + v - 1. Let w(i) = a(i) - 2*f(i). Let o be w(6). Factor -q**4 + 0 - q**3 - 1/3*q**o + 0*q - 1/3*q**5.
-q**2*(q + 1)**3/3
Let g = 4 + 2. Suppose -2*k = -5*k - 5*p + g, 3*p - 8 = -4*k. Let -2*v - 4*v**2 + 5*v**k + v**3 + 0*v**2 = 0. Calculate v.
-2, 0, 1
Let f(j) be the third derivative of 0*j**4 + 0 - 2*j**2 - 1/1050*j**7 + 0*j**3 - 1/600*j**6 + 1/1680*j**8 + 1/300*j**5 + 0*j. Factor f(p).
p**2*(p - 1)**2*(p + 1)/5
Determine q so that 12*q**4 + 59 + 13*q**3 + 3*q + 5*q**3 + 12*q**2 - 59 + 3*q**5 = 0.
-1, 0
Suppose 4*p - 2*w - 2*w = 4, -w = p - 7. Suppose 0 = 3*m - p*m. What is j in 2*j**3 + m*j**3 - 3*j**3 = 0?
0
Let a(m) = -m**4 - m**3 - m**2 + m - 1. Let i(j) = -7*j**4 - 37*j**3 - 92*j**2 - 98*j - 42. Let r(v) = 2*a(v) - i(v). Determine x so that r(x) = 0.
-2, -1
Let b = 100/3 - 32. Factor -b*x - 1/3*x**2 - 4/3.
-(x + 2)**2/3
Let w(o) be the second derivative of -o**5/4 + 35*o**4/12 - 25*o**3/2 + 45*o**2/2 - 7*o. Find h such that w(h) = 0.
1, 3
Let v = 8 - 11. Let r = -1 - v. Find t such that -t**2 + 2*t + 4*t**3 - r*t**3 - 3*t**2 = 0.
0, 1
Let l(x) = x**2 + 3*x - 8. Let z be l(-6). Let f be 5*(4/z + 0). Factor -2*b + 2*b**2 + 0*b**f - 4*b**2.
-2*b*(b + 1)
Let g(t) be the second derivative of 0 - 1/80*t**5 + 1/48*t**4 + 1/24*t**3 + 4*t - 1/8*t**2. Suppose g(p) = 0. Calculate p.
-1, 1
Let j(g) be the third derivative of 0*g + 1/90*g**5 - 1/630*g**7 + 1/180*g**6 - 1/72*g**4 - 1/1008*g**8 - 1/18*g**3 + 0 + g**2. Solve j(v) = 0.
-