*v + 0*q + 0 - 1/75*q**5 + 1/600*q**6 - 3*q**2. What is y in z(y) = 0?
1, 2
Let i(w) = -8*w**2 + 6*w. Let g(p) = -p**2 + p. Let j(r) = 21*g(r) - 3*i(r). Factor j(k).
3*k*(k + 1)
Let b be (-403)/(-93) - (2 + (-8)/3). Let u(j) be the second derivative of 3/80*j**b + 0 - 4*j + 1/8*j**3 - 1/8*j**4 + 0*j**2. Factor u(h).
3*h*(h - 1)**2/4
Let q(u) = 2*u**2 + 3*u - 3. Let k be q(-3). Let w be -1 + 2 - k/10. Factor 2/5*n + 0 - w*n**2.
-2*n*(n - 1)/5
Let u(o) = -4*o**4 + 13*o**3 - 18*o**2 + 10*o - 1. Let b(n) = n**2 - n. Let s(j) = 3*b(j) + u(j). Solve s(m) = 0.
1/4, 1
Factor 8/3*o**2 - 4/3 - 10/9*o**3 - 2/9*o.
-2*(o - 2)*(o - 1)*(5*o + 3)/9
Let q(r) = 4*r - 3*r**4 - r**2 - r - r**3 + 3 + 3*r**2. Let y(f) = -f + 5 - 4 + 2*f. Let s(u) = q(u) - 3*y(u). Factor s(l).
-l**2*(l + 1)*(3*l - 2)
Let v(z) be the third derivative of z**5/360 - 17*z**4/72 + 289*z**3/36 - 23*z**2. Determine r so that v(r) = 0.
17
Let y = -1093 + 1095. Determine b so that 2/3 + 4/3*b - 2/3*b**4 + 0*b**y - 4/3*b**3 = 0.
-1, 1
Let t be (-6)/(-27) + (-125)/(-45). Factor -m**3 - 2*m**t + 6*m**3 + 3*m**2.
3*m**2*(m + 1)
Let c = -2954/15 - -197. Let y(o) be the first derivative of c*o**6 - 1/5*o**4 + 2/5*o + 1/5*o**2 + 2 - 4/15*o**3 + 2/25*o**5. Factor y(t).
2*(t - 1)**2*(t + 1)**3/5
Let q be 44*1/1 + 1. Let t be (-4)/14 + q/84. Factor 1/4*w**5 + 0 + 0*w**3 - 1/2*w**2 + 1/2*w**4 - t*w.
w*(w - 1)*(w + 1)**3/4
Let k(u) be the first derivative of -4*u**5/35 + u**4/2 - 2*u**3/3 + 2*u**2/7 + 4. Suppose k(f) = 0. What is f?
0, 1/2, 1, 2
Let v(p) = p**4 - 17*p**3 + 4*p**2 + 17*p. Let c(i) = -8*i**3 + 2*i**2 + 8*i. Let t(g) = 5*c(g) - 2*v(g). Factor t(w).
-2*w*(w - 1)*(w + 1)*(w + 3)
Suppose -12 = -3*l - l. Let m be (6*(-4)/4)/(-9). Solve -2/3*k**l + m*k + 0*k**2 - 1/3*k**4 + 1/3 = 0 for k.
-1, 1
Let m = 4 - 4. Suppose 0 = -5*a + 5*w - 15, 5*a - 30 = -m*a - 4*w. Factor 5*q**a - 21*q**2 + 1 - 3 - 7*q**3 - 11*q.
-(q + 1)**2*(7*q + 2)
Let c(u) be the second derivative of 2*u + 1/147*u**7 - 1/21*u**6 + 5/21*u**3 + 0 + 1/7*u**5 - 5/21*u**4 - 1/7*u**2. Factor c(y).
2*(y - 1)**5/7
Find x such that 5*x**2 - 23*x + 38*x + 0*x**2 = 0.
-3, 0
Let u = 33 + -31. Factor 4/9*c**3 + 2/9 + 2/9*c**5 + 4/9*c**u - 2/3*c - 2/3*c**4.
2*(c - 1)**4*(c + 1)/9
Let l be 4/(-38) + (-176)/(-228). Let l*u**2 - 4/3*u + 2/3 = 0. Calculate u.
1
Let m(q) be the first derivative of 0*q**3 + 0*q - 3 + 0*q**2 - 1/10*q**5 + 1/8*q**4. Factor m(i).
-i**3*(i - 1)/2
Let i(c) = 5*c**3 + 3*c**2 - 3*c + 3. Let t(l) = 16*l**3 + 10*l**2 - 10*l + 10. Let y(s) = 10*i(s) - 3*t(s). Suppose y(d) = 0. Calculate d.
0
Let t(x) be the first derivative of 5*x**5 + 15*x**4 + 16*x**3 + 8*x**2 - 10*x - 3. Let c(q) be the first derivative of t(q). Factor c(d).
4*(d + 1)*(5*d + 2)**2
Suppose 0 = 3*q + 5*l - 45, 3*l - 28 = -2*q - l. Suppose 13*i**4 + 8*i**2 - q*i**3 - i**5 - 3*i**5 + 3*i**4 = 0. Calculate i.
0, 1, 2
Let s(k) be the third derivative of -25*k**8/1344 - 17*k**7/168 - 11*k**6/96 + 13*k**5/48 + 5*k**4/6 + 5*k**3/6 - 5*k**2. Find c such that s(c) = 0.
-2, -1, -2/5, 1
Suppose -4*y + 1 = 3*v, -v = 3*y + 2*y + 7. Suppose -v*k + b - 2 = -6, 0 = -k + 2*b - 2. What is d in -3*d**2 - 5*d + 6*d**3 + d + d**k = 0?
-2/3, 0, 1
Let l(b) be the first derivative of 0*b + 1/3*b**2 + 4/3*b**3 - 1 - 4/5*b**5 + 31/24*b**4 - 35/36*b**6. Suppose l(x) = 0. What is x?
-1, -2/5, -2/7, 0, 1
Let r be -2 + (6/5)/((-54)/(-120)). Let n(d) be the first derivative of -1/2*d**4 + 1/3*d**6 - 2/5*d**5 + 1 + 0*d + 0*d**2 + r*d**3. Factor n(a).
2*a**2*(a - 1)**2*(a + 1)
Let j be 2*15/(-18)*-3. Suppose 8*k - 9 = j*k. Factor 0 + 2/5*c + 0*c**2 - 2/5*c**k.
-2*c*(c - 1)*(c + 1)/5
Determine j so that 3/2*j**5 - 3*j**2 + 6 - 3*j**4 - 12*j**3 + 21/2*j = 0.
-1, 1, 4
Let m(y) = 4*y. Let k be m(1). Suppose 4*a = 6*a - k. Solve -b + 1/2 + b**3 - 1/2*b**a = 0 for b.
-1, 1/2, 1
Let u = -938/5 - -188. Factor 4/5*c - 2/5 + 0*c**2 + u*c**4 - 4/5*c**3.
2*(c - 1)**3*(c + 1)/5
Let s(c) be the third derivative of -c**5/90 + 5*c**4/36 - 4*c**3/9 + 13*c**2. Find r, given that s(r) = 0.
1, 4
Let r(d) be the first derivative of 0*d - 4 - 1/2*d**2 + 1/4*d**4 + 0*d**3. Factor r(t).
t*(t - 1)*(t + 1)
Suppose -q - 4*q + 14 = -t, q = 4*t + 37. Let u = -9 - t. Factor 0*h**2 + 1/3*h**3 + 0 + u*h - 1/3*h**4.
-h**3*(h - 1)/3
Let g(i) = -i**2 - 12*i + 3. Let b be g(-12). Factor -w**3 + w**b + w**3 + w**4.
w**3*(w + 1)
Solve -4*a**2 + 4*a + 6*a - 6*a + 12*a = 0.
0, 4
Suppose -4*s = -y + s + 3, 4*y = -2*s + 12. Find i, given that 12*i**3 - 4*i**5 + 3*i**5 - y*i**5 + 8*i**4 + 0*i**3 = 0.
-1, 0, 3
Let n(a) be the first derivative of 12*a**5/5 + 4*a**4 + 4*a**3/3 + 5. Solve n(o) = 0 for o.
-1, -1/3, 0
Let n = -13 + 17. Let j be (n/24)/(2/6). Factor -j - 5/2*d - 5*d**2 - 5*d**3 - 1/2*d**5 - 5/2*d**4.
-(d + 1)**5/2
Let n(a) be the third derivative of a**7/1050 + a**6/150 + a**5/50 + a**4/30 - a**3/3 - 7*a**2. Let y(s) be the first derivative of n(s). Factor y(p).
4*(p + 1)**3/5
Let i be -2 + 0 - ((-6 - -7) + -3). Let o(y) be the second derivative of -5/3*y**3 - y**5 - 1/21*y**7 + i + y**2 + 5/3*y**4 + 1/3*y**6 + 3*y. Factor o(v).
-2*(v - 1)**5
Let g(k) = 5*k**2 + 2. Let o be g(2). Let c be o/10 - (-2)/(-10). Factor 1/2*i**c + 1/2 + i.
(i + 1)**2/2
Find u such that 0*u**3 + 7 - 3 - 5*u**2 - 2*u**4 - 6*u**3 + 6*u + 3*u**2 = 0.
-2, -1, 1
Let l(j) = 2*j**3 - j**2 + 3*j - 2. Let f be l(1). Let x be f/10 - (-7)/(-35). What is d in -2/11*d**3 + 0*d - 4/11*d**2 + x = 0?
-2, 0
Suppose 3 - 17 = -2*o. What is v in 2*v - 2*v**4 - 2*v**2 - 3*v**4 - 2*v**3 + o*v**4 = 0?
-1, 0, 1
Let a(r) = -r - 1. Let o be a(-3). Let b be (-8)/(-60)*(16/4 + 1). Let b*k**3 + 0*k + 2/3*k**o + 0 = 0. Calculate k.
-1, 0
Let h(t) = -3*t**4 + 2*t**2 + 8*t + 1. Let l(q) = -7*q**4 + q**3 + 4*q**2 + 17*q + 3. Let v(c) = 9*h(c) - 4*l(c). Factor v(s).
(s - 3)*(s - 1)**2*(s + 1)
Factor -3/5*t**5 - 3/5*t**3 + 12/5*t - 12/5*t**4 - 24/5 + 6*t**2.
-3*(t - 1)**2*(t + 2)**3/5
Let r(a) be the first derivative of -3*a**5/25 + 3*a**4/20 + 3*a**3/5 - 3*a**2/10 - 6*a/5 - 16. Find c, given that r(c) = 0.
-1, 1, 2
Determine o so that 2/9*o**2 + 0 + 2/9*o = 0.
-1, 0
Let k(n) = n**2 + n. Let i(p) = -6*p**2 - 14*p - 8. Let s(c) = i(c) + 2*k(c). Determine j, given that s(j) = 0.
-2, -1
Let k(t) = -11*t**2 + 24*t. Let p(u) = 6*u**2 - 12*u. Let w(m) = 3*k(m) + 5*p(m). Find l such that w(l) = 0.
0, 4
Let x be (5 + 184/(-32))/(18/(-16)). Let x + 3*q + 5/3*q**2 - 3*q**3 - 7/3*q**4 = 0. Calculate q.
-1, -2/7, 1
Let i be (-2)/2 - -6*1. Determine j, given that -3*j - 2*j**4 - 4*j**4 - 3*j**i + 6*j + 6*j**2 = 0.
-1, 0, 1
Suppose 2*q + 2*q - 8 = 0. Suppose 4*p**q - 6*p**2 - 2*p + 4*p + 4*p**2 = 0. What is p?
-1, 0
Let a be 0*(2 - (-1 + 2)). Let l(d) = d + 9. Let t be l(a). Factor -3*o**2 + 2 + 6*o + t*o**2 + 2*o**3 + 0*o**3.
2*(o + 1)**3
Let k(s) be the third derivative of s**5/270 - s**4/54 + s**3/27 + 27*s**2. Factor k(r).
2*(r - 1)**2/9
Let n be 24/14 - 4/(-14). Suppose 0 = 5*q - n*r - 5, 4*q - 3*q + 3*r = 1. Let -q + 5/4*g**4 - 41/4*g**3 + 4*g + 25/4*g**5 - 1/4*g**2 = 0. Calculate g.
-1, 2/5, 1
Let b(m) = -1 - 2*m**2 - 5*m + 3*m**2 - 2*m**2 + 2. Let w(y) = 2*y**2 + 8*y - 2. Let s(t) = 8*b(t) + 5*w(t). Determine j, given that s(j) = 0.
-1, 1
Suppose 4 = 4*v - 0*v. Let a be (6 - 0)/v - 1. Find z such that 1/2*z**2 + 1/4*z - 1/2*z**4 + 0*z**3 + 0 - 1/4*z**a = 0.
-1, 0, 1
Factor -7/2*c**2 + 1 + 11/2*c - 3*c**3.
-(c - 1)*(c + 2)*(6*c + 1)/2
Suppose -5*z - 5*n + 37 = 2, 2*z - n + 1 = 0. Suppose z*l - 4 = -0. Factor -5*v + v**2 + 5*v + 4*v + v**l.
2*v*(v + 2)
Let m be 47*1/(-12) - -4. Let t(q) be the second derivative of -m*q**4 + 1/12*q**3 - 3*q + 0 + 0*q**2 + 1/40*q**5. Determine b so that t(b) = 0.
0, 1
Let s(w) be the third derivative of 0 + 1/15*w**5 + 0*w**6 - 1/168*w**8 + 0*w + 1/12*w**4 + 0*w**3 - 2/105*w**7 + 3*w**2. Determine c so that s(c) = 0.
-1, 0, 1
Let v(j) = -9*j**5 - 6*j**4 - 6*j**3 + 12*j**2 + 3*j. Let p(f) = -f**5 - f**3 + f**2. Let z(t) = -6*p(t) + v(t). Factor z(m).
-3*m*(m - 1)*(m + 1)**3
Let a(z) be the third derivative of -z**8/336 + z**7/42 + 7*z**6/120 - z**5/12 - z**4/4 + 5*z**2 - 2. Factor a(x).
-x*(x - 6)*(x - 1)*(x + 1)**2
Let m(d) be the second derivative of 1/120*d**6 - 3*d - 1/30*d**5 + 0*d**3 + d**2 + 0 + 1/24*d**4. Let o(c) be the first derivative of m(c