*(b + 1)/7
Let w(x) = 3*x + 5. Let y be w(5). Suppose -3*r + g = -4, -3*r - 4*g - 6 = -y. Determine l, given that 4*l**4 - l**4 - 2*l**3 - l**4 + r*l**5 - 2*l**2 = 0.
-1, 0, 1
Let u(z) be the first derivative of z**3/3 - z**2/2 - 7. Factor u(c).
c*(c - 1)
Let k(s) be the first derivative of -s**5/80 - 5*s**4/48 - s**3/3 - s**2/2 + 2*s + 2. Let n(z) be the first derivative of k(z). Find p such that n(p) = 0.
-2, -1
Let h(n) be the first derivative of 1 - 1/2*n**2 + 1/3*n**3 + 0*n. Find u, given that h(u) = 0.
0, 1
Let n(z) be the second derivative of -3*z**5/20 + z**4 - 5*z**3/2 + 3*z**2 - 9*z. Factor n(h).
-3*(h - 2)*(h - 1)**2
Let w(g) be the third derivative of -g**6/60 - g**5/42 + g**4/42 + 12*g**2. Factor w(i).
-2*i*(i + 1)*(7*i - 2)/7
What is k in -16 + 21*k + 7*k**2 + 2*k - 7*k + 38*k = 0?
-8, 2/7
Let v(n) be the second derivative of 0 - 1/5*n**2 - 1/15*n**3 + 1/50*n**5 - 3*n + 1/30*n**4. Factor v(b).
2*(b - 1)*(b + 1)**2/5
Let r(t) be the second derivative of t**6/40 - t**5/20 - t**4/4 + 3*t**2 - 4*t. Let q(k) be the first derivative of r(k). Suppose q(p) = 0. Calculate p.
-1, 0, 2
Let h(g) = -7*g**4 + 33*g**3 - 39*g**2 + 15*g. Let l(p) = -13*p**4 + 66*p**3 - 79*p**2 + 30*p + 1. Let s(j) = 5*h(j) - 2*l(j). Factor s(o).
-(o - 2)*(o - 1)*(3*o - 1)**2
Factor 0 + 2/9*j**5 + 2/9*j**3 - 4/9*j**4 + 0*j**2 + 0*j.
2*j**3*(j - 1)**2/9
Let j(m) = -119*m**2 + m + 2. Let i be j(2). Let o = i - -3310/7. Solve 2/7*c + 0 + 2/7*c**4 + 6/7*c**3 + o*c**2 = 0 for c.
-1, 0
Let l(r) be the second derivative of -r**8/1344 + r**6/240 - r**4/96 + r**2 - r. Let k(o) be the first derivative of l(o). Factor k(q).
-q*(q - 1)**2*(q + 1)**2/4
Find r such that -10*r**3 + 21*r**3 - 12*r**3 - 11*r**3 + 84*r**4 - 147*r**5 = 0.
0, 2/7
Let g(u) be the second derivative of 2*u**2 + 0 + 1/12*u**4 + 2*u + 2/3*u**3. Let g(l) = 0. What is l?
-2
Let p be (-18)/(-21)*28/20. Factor -p - 9/5*w - 3/5*w**2.
-3*(w + 1)*(w + 2)/5
Factor 8*s - 26/3*s**2 - 47/6*s**3 + 32/3 - 2*s**4 - 1/6*s**5.
-(s - 1)*(s + 1)*(s + 4)**3/6
Let o = -1/285 + 577/1995. Factor -o*r + 2/7*r**2 + 0.
2*r*(r - 1)/7
Let k(v) be the first derivative of -2/21*v**3 + 0*v**2 + 1 + 0*v. Find z such that k(z) = 0.
0
Let r = 16 - 10. Suppose j + 10 = r*j. Find b, given that -b**2 + j*b**3 - 4*b**3 - 3*b**2 - 2*b = 0.
-1, 0
Let i(y) = -5*y**4 - 60*y**3 + 113*y**2 - 48*y + 17. Let t(q) = -2*q**4 - 20*q**3 + 38*q**2 - 16*q + 6. Let z(r) = -6*i(r) + 17*t(r). Let z(g) = 0. Calculate g.
0, 1, 2
Let p be (7 - 5) + -2*1. Determine w, given that 2*w**3 + 2/3*w + p - 2/3*w**4 - 2*w**2 = 0.
0, 1
Let j(u) = -5*u**3 - u**2 + 5*u + 1. Suppose -2 - 2 = -4*k. Let x(r) = r**3 - r. Let d(f) = k*j(f) + 6*x(f). Factor d(p).
(p - 1)**2*(p + 1)
Determine f so that 2/7*f**2 + 4/7*f**3 + 0*f + 0 + 2/7*f**4 = 0.
-1, 0
Factor -2/13*g + 0*g**4 + 0*g**2 - 2/13*g**5 + 4/13*g**3 + 0.
-2*g*(g - 1)**2*(g + 1)**2/13
Let -k**5 + 2*k**2 - k**2 + 3*k**4 - 4*k**4 + k**3 = 0. Calculate k.
-1, 0, 1
Let q(j) = j**4 - j**3 - 1. Let n(w) = w**5 - 8*w**4 + 12*w**3 - 7*w**2 + 2*w + 3. Let k(t) = -n(t) - 3*q(t). Suppose k(o) = 0. What is o?
0, 1, 2
Let b(k) be the first derivative of 2*k**5/45 + k**4/3 + 26*k**3/27 + 4*k**2/3 + 8*k/9 - 31. What is j in b(j) = 0?
-2, -1
Factor 2/15*w**5 + 16/15*w**3 + 0 - 2/3*w**4 - 8/15*w**2 + 0*w.
2*w**2*(w - 2)**2*(w - 1)/15
Let g(n) = -6*n**3 - 8*n**2 + 6*n + 10. Let a(m) = m**3 - m - 1. Let q(p) = 2*a(p) + g(p). Factor q(j).
-4*(j - 1)*(j + 1)*(j + 2)
Let p be (-24)/(-14)*28/8. Let c(y) be the third derivative of 1/210*y**5 + 1/420*y**p - 1/84*y**4 - 1/21*y**3 + 0 + 0*y - 2*y**2. Solve c(t) = 0.
-1, 1
Let o be (21/14)/((-2)/(-4)). Let j = -1/22 - -47/66. Factor 0*h + 2/3*h**2 + 4/3*h**o + 0 + j*h**4.
2*h**2*(h + 1)**2/3
Let l be 35/45 + (-4)/(-18). Let f(s) be the first derivative of -4*s**4 + l - 22/5*s**5 + 8/3*s**3 + 0*s**2 + 0*s - s**6. Suppose f(d) = 0. What is d?
-2, 0, 1/3
Factor -3*v**3 - 20*v + 0 + 5*v**2 + 9*v**2 + 4 + 4.
-(v - 2)**2*(3*v - 2)
Let n be (2/(-10))/(36/(-132)). Let z = n - 2/5. Factor 1/3*r**3 + 1/3*r**4 - 1/3*r + 0 - z*r**2.
r*(r - 1)*(r + 1)**2/3
Let m(n) be the second derivative of -n**7/21 + 2*n**6/15 + n**5/5 - 2*n**4/3 - n**3/3 + 2*n**2 - 7*n. Suppose m(s) = 0. What is s?
-1, 1, 2
Let k = 5/4 + -11/12. Factor v - 2/3*v**3 - 1/3*v**5 + 2/3*v**2 + k - v**4.
-(v - 1)*(v + 1)**4/3
Let i(j) = -2*j**3 + 18*j**2 - 10*j - 2. Let x(s) = -s**3 + 19*s**2 - 10*s - 3. Let n(d) = 5*i(d) - 4*x(d). Factor n(v).
-2*(v - 1)**2*(3*v - 1)
Let x be ((-10)/4 - 0)*-2. Let n(b) be the third derivative of -1/12*b**4 + 2*b**2 + 0 + 1/30*b**x + 0*b + 1/60*b**6 - 1/3*b**3. Solve n(c) = 0 for c.
-1, 1
Solve 13*u**4 + 3*u**5 + 5*u**4 + 149*u**3 - 2*u**3 + 24*u**4 = 0.
-7, 0
Let s(y) = y**2 - 6*y - 4. Let o be s(7). Let b(w) be the second derivative of -1/3*w**o + w**2 - 2*w + 0 + 1/10*w**5 - 1/6*w**4. Factor b(p).
2*(p - 1)**2*(p + 1)
Let c(h) = 4*h**4 - 2*h**3 + 3. Let z be -4*3/6*-2. Let r = -3 - z. Let s(v) = 9*v**4 - 5*v**3 + 7. Let u(l) = r*c(l) + 3*s(l). Solve u(y) = 0 for y.
-1, 0
Let l(f) be the second derivative of -2*f + 1/12*f**4 + 1/3*f**3 + 0*f**2 + 0. Let l(x) = 0. What is x?
-2, 0
Find d, given that 0 - 1/3*d**4 + 1/3*d**2 + 0*d**3 + 0*d = 0.
-1, 0, 1
Let y(n) = n**5 - 5*n**4 - n**3 + 3*n**2 + 2*n - 2. Let b(j) = j**5 - j**4 - 1. Let t(r) = 6*b(r) - 3*y(r). Factor t(l).
3*l*(l - 1)*(l + 1)**2*(l + 2)
Factor 8 + 11*k + 14*k + 2*k**2 - 33*k.
2*(k - 2)**2
Suppose 5*w + 4*w = -0*w. Let a(o) be the third derivative of 2*o**2 + 1/10*o**5 + 1/4*o**4 + 0*o + 1/60*o**6 + 1/3*o**3 + w. Factor a(l).
2*(l + 1)**3
Let j(i) be the second derivative of -81*i**5/4 + 15*i**4/4 + 140*i**3/3 + 40*i**2 + 41*i. Let j(r) = 0. What is r?
-4/9, 1
Let p(c) = -c + 8. Let d be p(5). Solve 6*u**3 - 7*u**4 + 2*u**2 + 2*u**2 + d*u**2 - 2*u - 4*u**3 = 0 for u.
-1, 0, 2/7, 1
Let b(g) = 3*g - 10. Let u be b(7). Suppose -u = -5*j + 9. Find y, given that -2*y**5 + 4*y**4 + y**3 + y**3 - j*y**2 + 0*y**4 = 0.
-1, 0, 1, 2
Let v(c) = c**3 + 5*c**2 - 7*c - 2. Let h be v(-6). Let f(y) = -2*y**2 - 2*y. Let s(i) = i**2 + i. Let t(o) = h*f(o) + 9*s(o). Find a such that t(a) = 0.
-1, 0
Let m(s) be the third derivative of -s**5/20 - 3*s**4/2 - 18*s**3 - 7*s**2. Find h, given that m(h) = 0.
-6
Let i(q) = -3*q**3 - 8*q**2 + 15*q - 6. Let j(p) = 10*p**3 + 25*p**2 - 45*p + 17. Let t(z) = -7*i(z) - 2*j(z). Find n, given that t(n) = 0.
-8, 1
Let s be 18/14 - 18/63. Let t(j) be the first derivative of -1/12*j**3 + 1/8*j**2 + 0*j - 1/16*j**4 - s + 1/20*j**5. Factor t(k).
k*(k - 1)**2*(k + 1)/4
Factor 0 + 0*p - 3*p**2 + 5/2*p**4 + 13/2*p**3.
p**2*(p + 3)*(5*p - 2)/2
Let y(d) be the third derivative of d**5/30 + d**4/12 - 2*d**3/3 - 16*d**2. Determine r so that y(r) = 0.
-2, 1
Factor -2 + 0*g**4 + 0*g**4 + 0*g**3 + 7*g - g**4 + 5*g**3 - 9*g**2.
-(g - 2)*(g - 1)**3
Let i(f) be the first derivative of -11*f**3/5 + 6*f**2 + 12*f/5 - 17. Factor i(m).
-3*(m - 2)*(11*m + 2)/5
Let s(b) be the third derivative of b**6/240 - b**4/48 - 14*b**2. Factor s(y).
y*(y - 1)*(y + 1)/2
Let m be 1/1*4/2. Factor -2*y - y**2 + y**2 - 4*y**2 - 1 + 3*y**m.
-(y + 1)**2
Let i(h) be the second derivative of -h**9/3780 - 11*h**8/6720 - h**7/504 + h**6/360 - h**4/6 - 2*h. Let j(n) be the third derivative of i(n). Factor j(l).
-l*(l + 1)*(l + 2)*(4*l - 1)
Factor -1/4*m**2 + 3/2 + 1/4*m.
-(m - 3)*(m + 2)/4
Let h be 1/2*7/(49/28). Suppose -7/4*r**3 - 1/2 - 3/4*r + 3*r**h = 0. What is r?
-2/7, 1
Let h(a) be the third derivative of -1/48*a**5 + 3*a**2 + 1/120*a**6 + 0*a + 1/48*a**4 - 1/840*a**7 + 0 + 0*a**3. Factor h(q).
-q*(q - 2)*(q - 1)**2/4
Let t(u) be the first derivative of 5*u**6/6 + 5*u**5 + 5*u**4/2 - 70*u**3/3 - 15*u**2/2 + 45*u - 15. Solve t(x) = 0 for x.
-3, -1, 1
Let b(p) be the first derivative of -p**4/20 + p**3/15 + 4*p**2/5 - 12*p/5 + 44. Factor b(q).
-(q - 2)**2*(q + 3)/5
Let j(n) be the third derivative of n**6/260 - n**5/78 - n**4/39 + 4*n**3/39 - 9*n**2. Find a, given that j(a) = 0.
-1, 2/3, 2
Let 3/2*g**2 + 21*g + 147/2 = 0. Calculate g.
-7
Suppose -h - 2*r = h - 60, -3*h + 90 = 2*r. Let 3*p**3 + 10*p**4 - h*p**2 + 13*p**2 - 7*p**3 + 16*p - 23*p**2 = 0. Calculate p.
-2, 0, 2/5, 2
Let i(u) = 2*u**2 + 21*u - 9. Let p be i(-11). What is q in 0 - 40*q**4 + 23/3*q**3 + 20/3*q**p