ive of q(m). Solve s(v) = 0.
-1
Factor 36/5*q**3 + 112/5*q + 32/5 - 136/5*q**2.
4*(q - 2)**2*(9*q + 2)/5
Suppose -4*s - 41 = -5*v, -11 = -3*v + 4*v + 4*s. Let 3*t**3 + 21*t**2 - 9*t**4 - 13 + 0*t**4 - 3*t**v + 1 = 0. Calculate t.
-2, -1, 1
Let s be ((-60)/(-36))/(15/18). Suppose 2/3*x**s + 0 - 7/3*x**4 + 0*x + 5/3*x**3 = 0. What is x?
-2/7, 0, 1
Suppose -2 = -4*u + 6. Let h(a) be the second derivative of -a**u - 1/12*a**4 + 0 + a + 1/2*a**3. Factor h(y).
-(y - 2)*(y - 1)
Suppose -y - 3*y = -4*z - 20, 4*y - 5*z = 22. Let g = -7 + 7. Let g + 1/4*x**y + 1/4*x**4 - 1/4*x**5 - 1/4*x**2 + 0*x = 0. What is x?
-1, 0, 1
Let s(o) be the third derivative of -o**5/150 - o**4/60 + 2*o**3/15 + o**2. Factor s(b).
-2*(b - 1)*(b + 2)/5
Let x = 948 + -10392/11. Let f = 224/55 - x. Determine v, given that f*v + 2/5*v**2 + 2/5 = 0.
-1
Let k(y) be the first derivative of -y**9/1512 + y**7/210 - y**5/60 - y**3 + 3. Let w(u) be the third derivative of k(u). Factor w(h).
-2*h*(h - 1)**2*(h + 1)**2
Suppose 6 - 3 = m. What is r in 2*r**2 + m*r + 2*r**2 - r**2 + 0*r = 0?
-1, 0
Let i = -14 + 23. Let m be ((-24)/i)/(4/(-6)). Factor -4*b + m*b**2 + 2*b - 2*b**3 + 0*b**3.
-2*b*(b - 1)**2
Let f(r) = -r**2 + 6*r + 3. Let y be f(5). Suppose -y*i + 4*i + 8 = 0. Find d such that -5*d - 2*d**2 + 3*d - 2*d**3 + 0*d**2 + 6*d**i = 0.
0, 1
Let a(h) be the first derivative of 3*h**5/10 + 15*h**4/2 + 59*h**3 + 135*h**2 + 243*h/2 - 27. Factor a(g).
3*(g + 1)**2*(g + 9)**2/2
Let m(y) be the first derivative of 0*y**2 + 0*y + 2/45*y**5 + 8/27*y**3 + 1 + 2/9*y**4. Determine h, given that m(h) = 0.
-2, 0
Let g(i) = 8*i**2 - 12*i - 31. Let k(l) = 39*l**2 - 60*l - 156. Let f(m) = 24*g(m) - 5*k(m). Solve f(x) = 0 for x.
-2, 6
Suppose 2*n + 5*g = 16 - 7, -4*g = 2*n - 8. Let x be -2 + n + (-1 - -1). Factor 2*c**3 + 1 - 2*c**2 + x*c**3 + 1 - 2*c.
2*(c - 1)**2*(c + 1)
Let x(j) be the first derivative of 2*j**3/63 + 2*j**2/21 - 2*j/7 - 32. Factor x(q).
2*(q - 1)*(q + 3)/21
Let f = 4980/7 - 710. Determine z, given that -4/7 - 6/7*z + f*z**2 = 0.
-2/5, 1
Let g be (-12)/4 + -1 + (-46)/(-11). Suppose 0*f**2 + 0 + 0*f + 2/11*f**4 + g*f**3 = 0. What is f?
-1, 0
Let g = 76 + -71. Suppose 0*d**2 + 0 + 0*d + 0*d**3 - 1/6*d**g - 1/6*d**4 = 0. Calculate d.
-1, 0
Suppose -2*v - 2*k = -5*v + 12, -5*v + 20 = -4*k. Let x = -2 + v. Solve 4*l - 4*l**2 + 14*l**x + 2*l - 4 = 0 for l.
-1, 2/5
Let b(i) be the first derivative of -8*i**5/35 - 5*i**4/14 + 38*i**3/21 - i**2 - 6*i/7 - 4. Suppose b(y) = 0. Calculate y.
-3, -1/4, 1
Suppose k - 16 = 4*i + 12, -5*i - 4*k = 14. Let x be i/(-4) + 13/26. Suppose 0 - 5/3*v**4 - 7/3*v**x - 2/3*v - 1/3*v**5 - 3*v**3 = 0. What is v?
-2, -1, 0
Factor 4*c**2 + 16/3*c + 0*c**3 + 2 - 2/3*c**4.
-2*(c - 3)*(c + 1)**3/3
Suppose f - 37 = 3*h - f, 5*h + 5*f + 20 = 0. Let d be (4 - 75/18)*h. Factor -d*n - 3/4*n**2 + 3/4*n**4 + 0 + 3/2*n**3.
3*n*(n - 1)*(n + 1)*(n + 2)/4
Let l(r) = -r**2 - 11*r - 16. Let k be l(-9). Factor 4/3 + 2*y + 2/3*y**k.
2*(y + 1)*(y + 2)/3
Suppose 5*f = 5 + 20. Suppose 0 = -f*u + s - 4, 3 - 7 = 2*u - s. What is v in -24/7*v**4 - 2/7*v - 8/7*v**5 - 12/7*v**2 - 26/7*v**3 + u = 0?
-1, -1/2, 0
Let l be (-165)/(-135) - (-4)/(-18). Let t be (-6)/((-6 + 3)/l). Suppose 4/7 + 2/7*f**t - 6/7*f = 0. Calculate f.
1, 2
Let y(f) be the second derivative of 0*f**2 - 2*f + 0 - 1/72*f**4 + 1/60*f**5 - 1/180*f**6 + 0*f**3. Factor y(u).
-u**2*(u - 1)**2/6
Let t(q) = -q**2 - 8*q - 9. Let b be t(-6). Factor 0*y**2 - b*y**2 + y**2.
-2*y**2
Suppose -45*c**2 - 41*c**4 - 39*c**4 - 81*c**3 - 39*c**3 - 5*c = 0. Calculate c.
-1, -1/4, 0
Let q = -53 - -160/3. Let -q*t**2 + 1/3*t**4 - 1/3*t - 2/3*t**5 + t**3 + 0 = 0. What is t?
-1, -1/2, 0, 1
Let g(i) be the second derivative of -1/42*i**4 + 2*i + 0 + 0*i**2 + 1/21*i**3. Factor g(d).
-2*d*(d - 1)/7
Let m(u) be the third derivative of u**9/15120 + u**8/2100 + u**7/1050 - u**3/2 - 4*u**2. Let l(z) be the first derivative of m(z). Let l(k) = 0. Calculate k.
-2, 0
Let b(x) = x**3 + 10*x**2 + 9*x - 2. Let i be b(-9). Let k be (i/(-4))/((-12)/(-8)). Factor 1/3*m**5 + 1/3*m**2 - 1/3*m**4 + 0 + 0*m - k*m**3.
m**2*(m - 1)**2*(m + 1)/3
Let v(a) be the second derivative of -a**6/70 + 3*a**5/35 - a**4/7 + 16*a. Determine k so that v(k) = 0.
0, 2
Let g(y) be the first derivative of -3*y**4/4 - 2*y**3/3 + 3*y**2/2 + 2*y - 4. Factor g(p).
-(p - 1)*(p + 1)*(3*p + 2)
Factor 5/3*v**2 + 2 + 17/3*v.
(v + 3)*(5*v + 2)/3
Let j be 2/3*(2 + 4). Let l(n) = -7*n**2 + 7*n + 10. Let q(s) = 36*s**2 - 36*s - 51. Let o(m) = j*q(m) + 21*l(m). Factor o(i).
-3*(i - 2)*(i + 1)
Let h(f) = -f - 13. Let n be h(-7). Let o = n - -8. Factor -8 + 4*y + 4 - y**o + 0*y.
-(y - 2)**2
Let t(l) be the second derivative of -l**4/78 + 2*l**3/39 + l. Factor t(p).
-2*p*(p - 2)/13
Let j = 18 + -16. Let u(i) be the first derivative of -14/5*i**4 + 6*i**3 - 98/25*i**5 + 2 + 28/5*i**j + 8/5*i. Solve u(h) = 0 for h.
-1, -2/7, 1
Let h(s) be the second derivative of -s**7/84 + s**6/15 - s**5/40 - 5*s**4/12 + s**3/3 + 2*s**2 + 41*s. Factor h(k).
-(k - 2)**3*(k + 1)**2/2
Let t(s) be the third derivative of -s**7/1155 + s**6/330 - s**4/66 + s**3/33 - 5*s**2. Suppose t(w) = 0. What is w?
-1, 1
Let j(z) = 2*z - 6. Suppose 0 = -s + 2*s + 4*a - 7, -5*a = -s + 7. Let x be j(s). Factor 3*v**2 - 3*v**2 + 2*v**2 + 8*v**4 + x*v**3.
2*v**2*(2*v + 1)**2
Suppose 8 - 28 = -4*r. Let m(w) be the first derivative of 2/7*w**r + 0*w - 6/7*w**4 - 2/7*w**2 + 6/7*w**3 + 1. Factor m(f).
2*f*(f - 1)**2*(5*f - 2)/7
Let u(y) = 5*y**4 - 10*y - 2 + 13*y**3 + 0*y**4 - 3*y**3 - 3*y**2. Let t(n) = n**4 - n**2. Let g(a) = 3*t(a) + u(a). Find o such that g(o) = 0.
-1, -1/4, 1
Let n(u) be the second derivative of -1/42*u**7 + 0*u**4 + 0 + 1/15*u**6 - 1/20*u**5 + 2*u + 0*u**3 + 0*u**2. Find i such that n(i) = 0.
0, 1
Let q(y) be the first derivative of y**5/25 - y**4/4 + y**3/5 + y**2/2 - 4*y/5 - 9. Factor q(p).
(p - 4)*(p - 1)**2*(p + 1)/5
Determine r so that -12*r**4 - 9*r**3 + 355*r**5 + 12*r + 357*r**5 + 12*r**2 - 715*r**5 = 0.
-2, -1, 0, 1
Let g(o) be the second derivative of -o**4/36 + 7*o**3/18 - 12*o. Let g(w) = 0. What is w?
0, 7
Factor 48*a + 26 + 59 - 129 - 148 - 3*a**2.
-3*(a - 8)**2
Suppose x - 8 = -0*y - y, 24 = 4*x + 2*y. Let 4/11*k**x - 6/11*k**2 + 4/11*k + 0 - 6/11*k**3 = 0. Calculate k.
-1, 0, 1/2, 2
Let t = 479/22 - 234/11. Let a be 10/4 + (-1)/1. Find i, given that 1/2*i**4 - 1 - a*i + 3/2*i**3 + t*i**2 = 0.
-2, -1, 1
Let b(u) = u**3 + 2. Let s(x) = -x**2 + 5*x + 2. Let q be s(4). Let v(z) = 3*z**3 + 7. Let j(n) = q*v(n) - 21*b(n). Factor j(o).
-3*o**3
Let w(a) = -8*a**4 - 2*a**3 - 6*a**2 - 6*a + 6. Let b(g) = -17*g**4 - 5*g**3 - 13*g**2 - 13*g + 13. Let s(o) = 6*b(o) - 13*w(o). Let s(z) = 0. What is z?
0, 2
Let m(h) be the third derivative of -4*h**2 - 1/630*h**7 + 0*h**4 + 1/180*h**5 + 0 - 1/360*h**6 + 1/1008*h**8 + 0*h + 0*h**3. Factor m(f).
f**2*(f - 1)**2*(f + 1)/3
Let w(h) = h**3 + 5. Let r(f) = -2*f**3 - 8. Let v(k) = 5*r(k) + 8*w(k). Let v(b) = 0. Calculate b.
0
Let p(i) be the third derivative of -1/6*i**4 - 1/3*i**5 + 0*i**3 - 7/48*i**8 + 0 + 0*i - 2*i**2 + 1/3*i**7 + 1/40*i**6. Find o, given that p(o) = 0.
-2/7, 0, 1
Let r(a) be the second derivative of a**4/9 + 2*a**3/3 + 4*a**2/3 - 11*a. Factor r(x).
4*(x + 1)*(x + 2)/3
Let w(q) = 4*q**5 - 28*q**4 + 76*q**3 - 92*q**2 + 56*q - 24. Let r(m) = -m**2 + m + 1. Let t(b) = 8*r(b) + w(b). Factor t(x).
4*(x - 2)**2*(x - 1)**3
Let f(b) be the third derivative of -b**7/1260 - b**6/360 + b**4/6 - 4*b**2. Let c(l) be the second derivative of f(l). Find d, given that c(d) = 0.
-1, 0
Let l(u) be the third derivative of -169*u**5/80 + 39*u**4/8 - 9*u**3/2 + 17*u**2. Find p such that l(p) = 0.
6/13
Let n(m) be the third derivative of -m**7/1995 + m**6/570 - m**5/570 - 8*m**2. Factor n(u).
-2*u**2*(u - 1)**2/19
Let n = 368/3 + -122. Factor 4/3*y**3 + 0 - 4/3*y + 2/3*y**2 - n*y**4.
-2*y*(y - 2)*(y - 1)*(y + 1)/3
Let s(p) = -15*p**2 + 75*p - 68. Let x(n) = 5*n**2 - 25*n + 23. Let j(b) = 3*s(b) + 8*x(b). Find q, given that j(q) = 0.
1, 4
Suppose 0 = p - 3*t - 11, -3*p - 4*t = -10 + 3. Suppose p*d = 3*q + 9, 0*d = -3*q + d + 3. Solve 2*s**4 + q*s**3 + 0 - 2*s + 0 - 2*s**2 = 0 for s.
-1, 0, 1
Solve 1/2*o**3 + 2*o**2 + 3/2*o + 0 = 0.
-3, -1, 0
Factor 0 + 2/13*r**2 - 6/13*r.
2*r*(