r 0 + j*g**4 - 1/3*g**2 - 1/3*g**3 + 1/3*g.
g*(g - 1)**2*(g + 1)/3
Let b(v) = -5*v**2 + 2*v + 7. Let k(x) = -1. Let f(g) = -3*b(g) - 12*k(g). Let j(a) = -7*a**2 + 3*a + 4. Let m(c) = 4*f(c) + 9*j(c). What is w in m(w) = 0?
0, 1
Factor -2/3*d**2 - 2/3*d + 2/3*d**3 + 2/3.
2*(d - 1)**2*(d + 1)/3
Let p(h) = -7*h**2 + 2*h - 6. Let n(y) = 0 - 2 + 3. Let s = 1 + 0. Let w(g) = s*p(g) + 6*n(g). Find r, given that w(r) = 0.
0, 2/7
Let s = -59 - -61. Determine g so that 1/5*g + 0 + 0*g**s - 1/5*g**3 = 0.
-1, 0, 1
Let r be (-7)/(-3) + (-2)/6. Let v be (-5)/r*(-24)/20. Let -1/2*l**v - 1/2*l**2 + 1/2*l + 1/2 = 0. What is l?
-1, 1
Let m(u) be the first derivative of 2*u**3/51 + u**2/17 - 12*u/17 + 26. Factor m(l).
2*(l - 2)*(l + 3)/17
Let f(y) = y**2 - 6*y + 15. Let g(s) = -2*s**2 + 11*s - 31. Let c(a) = 9*f(a) + 4*g(a). Let m be c(9). Factor 12 - 12 - q**m - q.
-q*(q + 1)
Determine o so that 1/2*o + 1/4*o**2 + 0 = 0.
-2, 0
Factor 0*k**2 - 3/4*k**4 - 3/4*k**5 + 0*k + 0*k**3 + 0.
-3*k**4*(k + 1)/4
Factor 20/3*i - 2/3*i**2 - 50/3.
-2*(i - 5)**2/3
Let i(h) be the first derivative of 4/7*h**2 - 8/7*h + 2 - 2/21*h**3. Determine f so that i(f) = 0.
2
Solve -12/5*a + 0 + 3/5*a**2 = 0.
0, 4
Let o(t) be the second derivative of t**5/40 - t**4/6 - 5*t**3/12 - 25*t. Factor o(f).
f*(f - 5)*(f + 1)/2
Let z be (-8)/(-4)*(-9)/(-6). Let o(y) be the first derivative of z - 2/9*y**3 - y**2 - 4/3*y. Find p, given that o(p) = 0.
-2, -1
Let c(v) be the second derivative of -3/20*v**5 - v - 7/30*v**6 + 0 - 1/14*v**7 + 1/4*v**4 + 1/3*v**3 + 0*v**2. Factor c(d).
-d*(d + 1)**3*(3*d - 2)
Let b be (4/6 + -1)*-51. Let j be b/5 + (-2)/5. Factor -10*d**5 + 4*d**5 + 0*d**j + 2*d**3 + 4*d**4.
-2*d**3*(d - 1)*(3*d + 1)
Let b(c) be the third derivative of -c**5/12 + 5*c**4/12 - 5*c**3/6 - 15*c**2. Factor b(w).
-5*(w - 1)**2
Suppose -2*k = -0 + 4. Let s be (k/(-6))/(4/36). Factor 0*d**2 + 0*d + 2/7*d**s - 2/7*d**5 + 0*d**4 + 0.
-2*d**3*(d - 1)*(d + 1)/7
Suppose q**3 - 28*q**5 + q**4 - 3*q**4 + 29*q**5 + 4*q**4 = 0. Calculate q.
-1, 0
Suppose b - 1 = 3. Factor 2*p**2 - 7*p**2 + p**2 - 2*p**b + 6*p**3.
-2*p**2*(p - 2)*(p - 1)
Let g(w) = -w**3 - w + 3. Let k be (1 - 1)/(4 - 2). Let y be g(k). Factor -2*s**y + 0*s**4 + 12*s**3 + 2*s**2 + 8*s**4.
2*s**2*(s + 1)*(4*s + 1)
Factor 6*o**2 + o**4 + o**4 - 5*o**3 - 5*o**4 + 8*o**3.
-3*o**2*(o - 2)*(o + 1)
Let r(k) be the second derivative of 0 + 0*k**2 - 1/16*k**4 - 1/12*k**3 - 1/80*k**5 + 3*k. Factor r(y).
-y*(y + 1)*(y + 2)/4
Let q(r) be the third derivative of 1/100*r**5 + 4*r**2 + 0*r + 1/24*r**4 + 1/15*r**3 + 0. Find n such that q(n) = 0.
-1, -2/3
Let n(f) be the first derivative of 7*f**5/30 + 23*f**4/24 + 3*f**3/2 + 13*f**2/12 + f/3 - 11. Factor n(i).
(i + 1)**3*(7*i + 2)/6
Let j = 0 - -5. Let l(t) be the first derivative of 0*t + 0*t**2 + 1 - 1/8*t**4 + 0*t**3 - 2/5*t**j. Factor l(v).
-v**3*(4*v + 1)/2
Let q(n) = -n**5 - n**4 - n**3 - n**2 - n. Let t(h) = 4*h**5 + 2*h**4 - 4*h**3 + 16*h**2 - 3*h. Let c(z) = -15*q(z) - 5*t(z). Solve c(a) = 0 for a.
-3, 0, 1, 2
Suppose 2*g - 4*m - 22 = 0, 4*g - 5*m - 1 = 34. Factor 0 - y**2 + 1/4*y**g + 0*y - 5/4*y**4 + 2*y**3.
y**2*(y - 2)**2*(y - 1)/4
Let q(n) be the third derivative of -n**8/1512 - n**7/945 + n**6/90 + 2*n**5/135 - 2*n**4/27 + 10*n**2. Solve q(d) = 0.
-2, 0, 1, 2
Solve -4/3*m**2 - 4/3*m + 0 = 0 for m.
-1, 0
Let m(d) be the first derivative of -2*d**3/9 - d**2/12 + 4. Solve m(j) = 0.
-1/4, 0
Suppose -2*g = 4*w - 4, 2*w + 5*g - 10 = -w. Factor -3*q**2 - 3/2*q**4 + w + 0*q - 9/2*q**3.
-3*q**2*(q + 1)*(q + 2)/2
Let l(g) be the first derivative of 3*g + 4*g**3 + 3 - 15/2*g**2. Let l(a) = 0. Calculate a.
1/4, 1
Suppose 11 = -0*s + 3*s - 5*z, -3*s = 4*z - 2. Let r = -4 + 6. Factor p - 2 + 5*p - p**s - 2*p**2 - p**r.
-2*(p - 1)*(2*p - 1)
Let l(r) = -r**4 + r**3 + r**2 + r - 1. Let h(x) = x**5 - x**4 + 2*x**3 + 2*x**2 + 2*x - 2. Let y(n) = h(n) - 2*l(n). Solve y(o) = 0.
-1, 0
Let v(r) be the second derivative of -r**7/63 + 2*r**6/45 - r**4/9 + r**3/9 + 28*r. Factor v(y).
-2*y*(y - 1)**3*(y + 1)/3
Let o(n) be the first derivative of 1/27*n**6 + 4 + 0*n**2 + 0*n**3 + 1/18*n**4 + 4/45*n**5 + 0*n. Factor o(p).
2*p**3*(p + 1)**2/9
Let 6/5*h**2 + 14/5*h + 4/5 = 0. Calculate h.
-2, -1/3
Let m(c) be the first derivative of c**4/2 + 2*c**3/3 - c**2 - 2*c + 22. Factor m(r).
2*(r - 1)*(r + 1)**2
Let m(p) be the first derivative of p**7/3360 + p**6/1440 - p**5/480 - p**4/96 - 2*p**3/3 + 4. Let k(a) be the third derivative of m(a). Factor k(g).
(g - 1)*(g + 1)**2/4
Let l(p) be the second derivative of -p**4/48 - p**3/8 - p**2/4 - 9*p. Factor l(d).
-(d + 1)*(d + 2)/4
Let f = -47 + 143/3. Find q, given that 2/3*q**2 - 2/3*q**3 - f + 2/3*q = 0.
-1, 1
Let q(k) be the third derivative of k**8/2016 + k**7/420 + k**6/720 - k**5/120 - k**4/72 - k**2. Factor q(n).
n*(n - 1)*(n + 1)**2*(n + 2)/6
Let d(a) be the first derivative of 0*a**2 + 6/25*a**5 + 3/10*a**4 + 1/15*a**6 + 2/15*a**3 - 1 + 0*a. Factor d(r).
2*r**2*(r + 1)**3/5
Let k be 2/(-48)*2/(-25). Let q(o) be the third derivative of 0*o**4 + k*o**5 - 1/30*o**3 + 0 + o**2 + 0*o. Factor q(a).
(a - 1)*(a + 1)/5
Let y be (12/(-21))/4*-1. Let n(q) be the second derivative of -y*q**2 + 2*q + 1/7*q**3 + 0 - 1/14*q**4 + 1/70*q**5. Determine a so that n(a) = 0.
1
What is h in 0*h**2 + h - 4*h - 8*h**2 - 6*h**3 + h = 0?
-1, -1/3, 0
Factor -b - b**2 - 18 - 4*b - 6*b.
-(b + 2)*(b + 9)
Suppose -m - 5 = -h, 3*m + 1 = h - 5*h. Let v(u) be the second derivative of 0*u**h - 1/3*u**4 - 3*u + 0 - 1/10*u**5 + 0*u**3. Suppose v(g) = 0. What is g?
-2, 0
Find j, given that 5*j - 3*j - 4*j**2 - 2*j**3 + 0*j + 4 + 0*j = 0.
-2, -1, 1
Let f(w) be the second derivative of -w**4/84 - w**3/14 - 13*w. Factor f(g).
-g*(g + 3)/7
Let d be (0/2)/1 + 15. Let r be 5/(-2)*(-18)/d. Factor 1/3*b + 1/3*b**2 - 1/3 - 1/3*b**r.
-(b - 1)**2*(b + 1)/3
Let r be (0 - 12/(-5)) + (-15 - -15). Suppose 4/5*p**2 - 1/5*p**4 + 0*p + 3*p**5 + 0 - r*p**3 = 0. Calculate p.
-1, 0, 2/5, 2/3
Let j(l) be the second derivative of l**4/24 + l**3/6 + l**2/4 + 15*l. What is f in j(f) = 0?
-1
Determine f, given that 4/7*f**2 + 64/7 - 32/7*f = 0.
4
Let z(q) be the first derivative of 0*q**2 - 4/15*q**3 + 1/10*q**4 - 4 + 0*q. Solve z(d) = 0 for d.
0, 2
Factor -k**4 + 188*k**2 + 12*k**3 + 4*k - 176*k**2 + 5*k**4.
4*k*(k + 1)**3
Let b(u) = u**2 + 10*u - 1. Let i be b(-7). Let o be (-48)/i - (-6)/(-33). Determine w so that 11*w**2 + w - 11*w**o - w**3 = 0.
-1, 0, 1
Let b(y) = -y**2 + 11*y + 15. Let l be b(12). Factor -8/9*g**2 - 4/3*g**l - 2/9*g + 0 - 8/9*g**4 - 2/9*g**5.
-2*g*(g + 1)**4/9
Let t(s) be the third derivative of 2*s**7/105 - s**6/30 - s**5/15 + s**4/6 - 9*s**2. Find v such that t(v) = 0.
-1, 0, 1
Let b(c) be the second derivative of 1/55*c**5 + 0*c**2 - 1/165*c**6 + 0 + c + 0*c**3 - 1/66*c**4. Factor b(m).
-2*m**2*(m - 1)**2/11
Let d(b) be the first derivative of 18*b**4 + 92*b**3/3 + 6*b**2 - 8*b + 10. Factor d(u).
4*(u + 1)*(2*u + 1)*(9*u - 2)
Suppose -1/6*g + 0 - 1/6*g**2 = 0. Calculate g.
-1, 0
Let -2*v + 2*v**2 + 135*v**2 - 24 + 7*v**2 - 74*v = 0. Calculate v.
-2/9, 3/4
Factor -8*b - 5*b - 3*b - 21*b**2 + b + 6.
-3*(b + 1)*(7*b - 2)
Let l = 60/707 - -4320/101. Let y be ((-1)/(-7))/((-1)/(-120)). What is i in 16/7 + y*i + 250/7*i**3 + l*i**2 = 0?
-2/5
Suppose -10*q**3 - 12*q**2 - 11*q**5 - 6*q**4 + 2*q**4 - 10*q**3 + 15*q**5 = 0. Calculate q.
-1, 0, 3
Factor -2 - 12/5*d - 2/5*d**2.
-2*(d + 1)*(d + 5)/5
Let t(r) be the third derivative of 0 + 4*r**2 + 0*r + 1/30*r**4 + 1/15*r**3 + 1/150*r**5. What is z in t(z) = 0?
-1
Let 4/5*b**2 + b + 2/5 + 1/5*b**3 = 0. What is b?
-2, -1
Let z be 0/(-4 + 2/(4/6)). Let i(x) be the third derivative of 1/10*x**5 + z*x - 5/12*x**4 - x**2 + 0 + 2/3*x**3. Factor i(y).
2*(y - 1)*(3*y - 2)
Solve 1608*y**2 - 20*y - 12*y**3 - 1636*y**2 - 5 + 1 = 0 for y.
-1, -1/3
Suppose -9*z + 51 - 15 = 0. Let w(y) be the third derivative of 0*y**z + 0 + 1/480*y**6 + 0*y**5 + 0*y - y**2 + 0*y**3. Factor w(n).
n**3/4
Let 6*k**2 + 3*k**3 + 8*k**2 + k**3 - 22*k**2 + 4*k = 0. What is k?
0, 1
Let m(w) be the third derivative of w**8/144 + 8*w**7/315 + 11*w**6/360 + w**5/90 - 3*w**2 - 17. Solve m(k) = 0.
-1, -2/7, 0
Let h be -10 + 8 - (-24)/11. Find z, given that -32/11*z**2 - h - 16/11*z = 0.
-1/4
Let v(l) be the 