 5*d + 6. Let i be n(q). Let i*w**2 + 3*w**2 + 5*w**3 - 2*w**3 = 0. What is w?
-1, 0
Let b(n) = -n**3 + 7*n**2 - 5*n - 4. Let j be b(6). Suppose -j*h**2 + 2/3*h**3 + 2*h - 2/3 = 0. What is h?
1
Let o(v) be the first derivative of v**6/57 - 12*v**5/95 + 13*v**4/38 - 8*v**3/19 + 4*v**2/19 + 77. Factor o(q).
2*q*(q - 2)**2*(q - 1)**2/19
Let v(p) be the first derivative of -p**4/20 - 19*p**3/15 - 23*p**2/2 - 45*p + 53. Factor v(y).
-(y + 5)**2*(y + 9)/5
Let b(m) be the second derivative of -m**4/15 - 4*m**3/15 + 16*m**2/5 + 3*m - 73. Suppose b(y) = 0. What is y?
-4, 2
Let 50/7*l**2 + 2/7*l**3 + 726/7 + 374/7*l = 0. Calculate l.
-11, -3
Factor -16*s**3 - 92*s - 8*s - 24 - 8*s**2 - 26*s**2 - 78*s**2.
-4*(s + 6)*(2*s + 1)**2
Suppose -3*r + x + 8 = 2*x, -5*r = -2*x - 17. Let c(n) be the first derivative of 0*n - 1/5*n**5 + 17/20*n**4 + 2/5*n**2 - 16/15*n**3 + r. Factor c(p).
-p*(p - 2)*(p - 1)*(5*p - 2)/5
Let t be (43/7)/((-3)/(-6)). Let y = -704/63 + t. Solve 4/9*c - y*c**4 + 8/3*c**3 - 2*c**2 + 0 = 0.
0, 2/5, 1
Suppose 3*h + h = 0. Suppose 0 = -h*k - 2*k + 12. Factor -3 + x**4 + k*x**2 - 5*x**4 - x**4 + 2*x**4.
-3*(x - 1)**2*(x + 1)**2
Let -64*l**2 - 48392*l**3 + 44*l + 3896 + 48388*l**3 - 992 = 0. What is l?
-11, 6
Factor 0 - 21/2*k + 10*k**2 + 1/2*k**3.
k*(k - 1)*(k + 21)/2
Let y(b) be the first derivative of -12*b**2 + 21 + 969/4*b**4 - 132*b**5 - 99*b**3 + 12*b. Find q, given that y(q) = 0.
-2/11, 1/4, 2/5, 1
Let q(x) be the first derivative of x**5/20 + 15*x**4/8 + 193*x**3/12 - 60*x**2 + 64*x - 590. Suppose q(f) = 0. Calculate f.
-16, 1
Determine l, given that 11*l**2 + 43*l**3 + 15*l**2 + 95*l + 62*l**3 - 221*l**2 - 5*l**4 = 0.
0, 1, 19
Let i(p) be the third derivative of -p**5/12 + 5*p**4/8 + 25*p**3/3 - 22*p**2. Suppose i(r) = 0. What is r?
-2, 5
Let f = -16 - -20. Let d(i) = 5 + 11 - f*i - 14. Let w(g) = g**3 + g - 1. Let m(u) = -2*d(u) - 4*w(u). Factor m(o).
-4*o*(o - 1)*(o + 1)
Let f(i) be the third derivative of -i**7/6300 + i**6/540 - i**5/300 - i**4/20 - 3*i**3 - 3*i**2. Let n(h) be the first derivative of f(h). Factor n(r).
-2*(r - 3)**2*(r + 1)/15
Let l(d) be the third derivative of -d**7/210 - 13*d**6/120 - 11*d**5/60 + 13*d**4/24 + 2*d**3 - 192*d**2. Factor l(f).
-(f - 1)*(f + 1)**2*(f + 12)
Let j be ((-46)/(-36) - 1) + 32/144. Let i(x) be the first derivative of -j*x - 1/16*x**4 + 1/6*x**3 - 7 + 1/8*x**2. Factor i(t).
-(t - 2)*(t - 1)*(t + 1)/4
Let g be (-4)/(-8) - (-30)/4. Suppose -2*s = -w - g, -3*w + 8*w = s - 22. Factor -6*l**5 - 2*l**3 - 3*l**4 - s*l**4 + 3*l**5.
-l**3*(l + 1)*(3*l + 2)
Let d(r) be the first derivative of 17*r**4/6 + 110*r**3/9 + 46*r**2/3 + 16*r/3 + 183. Suppose d(f) = 0. What is f?
-2, -1, -4/17
Let o(p) be the second derivative of -p**7/7560 + p**6/3240 + p**5/270 - p**4/54 - 2*p**3 - 14*p. Let z(g) be the second derivative of o(g). Factor z(i).
-(i - 2)*(i - 1)*(i + 2)/9
Factor 39/7*j + 18/7 - 24/7*j**2.
-3*(j - 2)*(8*j + 3)/7
Let y be (24/(-8) + 3)*1. Let u(h) be the second derivative of 1/12*h**3 + 4*h + 0*h**2 + y + 1/48*h**4. Determine s, given that u(s) = 0.
-2, 0
Let b(x) be the first derivative of -1/6*x**2 + 1/12*x**4 + 0*x**3 - 7 + 0*x. Find h such that b(h) = 0.
-1, 0, 1
Let w = 143 - 138. Suppose -7*h - w*h - h = 0. Suppose h*a**3 + 0*a**2 - 3/4*a**5 + 3/4*a**4 + 0*a + 0 = 0. What is a?
0, 1
Let q(d) = 4*d**4 + 8*d**3 + 6*d**2 + 10*d + 8. Let j(x) = x**4 + x**3 - x**2 + x + 2. Let t(i) = -3*j(i) + q(i). Factor t(m).
(m + 1)**3*(m + 2)
Let u(y) be the first derivative of 0*y + 3/4*y**2 - 15/16*y**4 + 3/4*y**3 + 7. Find q, given that u(q) = 0.
-2/5, 0, 1
Suppose 4*q + 3 = 11. Suppose 0*j - 257*j**2 + 0*j + 3*j**3 - j**4 + 255*j**q = 0. Calculate j.
0, 1, 2
Let y be 3*4*(-4)/(-16). Let b = y - -1. Determine c so that -3*c**2 - 12*c - 4*c**2 - 15 + b*c**2 + 3 = 0.
-2
Let g(y) be the second derivative of 0 + 1/7*y**2 - 1/42*y**4 + 12*y + 1/42*y**3 - 1/140*y**5. Solve g(m) = 0 for m.
-2, -1, 1
Let f be -86*(-2 + 2 + -1). Suppose 4*j + d + 3*d = 320, j = 5*d + f. Factor 285 - 3*u**2 - 349 - j*u**2 + 10*u**3 + 192*u.
2*(u - 4)**2*(5*u - 2)
Let l be 15/9 - (-1 + 12/6). Let u(w) be the first derivative of 4 - l*w**3 - 2*w**2 - 2*w. Factor u(j).
-2*(j + 1)**2
Let z(s) be the second derivative of 2*s**6/105 - 3*s**5/28 + 4*s**4/21 - s**3/14 - s**2/7 + 34*s - 4. Factor z(x).
(x - 2)*(x - 1)**2*(4*x + 1)/7
Let b = -29503/8 - -3688. Factor -b*r**5 + 0 + 0*r + 1/8*r**3 - 1/8*r**2 + 1/8*r**4.
-r**2*(r - 1)**2*(r + 1)/8
Determine h so that 10/17*h**2 - 2/17*h**3 - 16/17 - 4/17*h = 0.
-1, 2, 4
Let k(v) be the first derivative of v**6/1980 - v**5/660 - v**4/66 - v**3 + 13. Let t(b) be the third derivative of k(b). Factor t(o).
2*(o - 2)*(o + 1)/11
Let i be ((-10)/(-105))/(8/16). Let x(k) be the first derivative of -6 - i*k**3 - 12/7*k - 8/7*k**2. Factor x(t).
-4*(t + 1)*(t + 3)/7
Let t(m) be the first derivative of m**7/21 + 4*m**6/15 + 3*m**5/10 + 3*m - 16. Let r(k) be the first derivative of t(k). Factor r(p).
2*p**3*(p + 1)*(p + 3)
Let b(f) be the third derivative of f**5/510 + 7*f**4/204 - 8*f**3/51 - 2*f**2 - 22*f. Factor b(l).
2*(l - 1)*(l + 8)/17
Let s(j) be the third derivative of j**7/105 + 91*j**6/240 + 13*j**5/24 - 11*j**4/24 - 23*j**2. Find a, given that s(a) = 0.
-22, -1, 0, 1/4
Suppose 7*v - 24*v = 17. Let z be (-90)/(-72) + v/(-4). Find a, given that -3/2*a**4 + 0 + 0*a**3 + 0*a + z*a**2 = 0.
-1, 0, 1
Let o = 23832 + -23830. Find m, given that -1/2*m**o + 4 + 7/2*m = 0.
-1, 8
Let v(q) be the second derivative of q**6/60 + q**5/40 - 5*q**4/24 + q**3/4 + q - 79. Factor v(r).
r*(r - 1)**2*(r + 3)/2
Let u(s) = 10*s**4 + 115*s**3 + 420*s**2 + 645*s + 305. Let v(p) = 5*p**4 + 58*p**3 + 210*p**2 + 323*p + 151. Let x(l) = 3*u(l) - 5*v(l). Factor x(w).
5*(w + 1)*(w + 2)*(w + 4)**2
Let h = -12 - -9. Let z(d) = -d**3 - 2*d**2 + 2*d - 3. Let o be z(h). Suppose -2/5 + 4/5*u**2 + 0*u**3 + o*u - 2/5*u**4 = 0. Calculate u.
-1, 1
Let k(s) be the second derivative of s**7/21 - 2*s**6/45 - 3*s**5/10 + 4*s**3/9 - 4*s - 24. Determine m, given that k(m) = 0.
-1, 0, 2/3, 2
Let r(t) = -2*t**2 - t - 1. Let i(s) = 10*s**2 - 8*s + 22. Let z(x) = -i(x) - 4*r(x). Factor z(g).
-2*(g - 3)**2
Let x(z) be the third derivative of 0*z + 0*z**3 + 0 + 1/60*z**6 + 2/15*z**5 - 1/105*z**7 - 1/3*z**4 + 30*z**2. Find b such that x(b) = 0.
-2, 0, 1, 2
Let w = -836 + 838. Factor 3/2*n**w + 3 + 9/2*n.
3*(n + 1)*(n + 2)/2
Let k(i) be the second derivative of i**7/630 + i**6/45 - i**5/6 + i**4/3 - 15*i. Let o(m) be the third derivative of k(m). Determine g, given that o(g) = 0.
-5, 1
Let d(g) be the first derivative of 16 + 4/9*g + 1/18*g**4 + 5/9*g**2 + 8/27*g**3. Solve d(l) = 0.
-2, -1
Factor -11*h**2 - 9*h**3 + 29*h**3 + 15*h**3 - 5*h**4 - 64*h**2 + 45*h.
-5*h*(h - 3)**2*(h - 1)
Let h(a) = a**2 + 3*a + 3. Let q be h(0). Let o(x) be the first derivative of 2*x**2 - x**4 + 2/5*x**5 - 2*x + 0*x**q - 8. Factor o(d).
2*(d - 1)**3*(d + 1)
Suppose -32/9*d**2 - 2/9*d**3 + 34/9*d + 0 = 0. What is d?
-17, 0, 1
Suppose 556/7*q**3 + 220*q**2 + 56 + 1364/7*q - 12/7*q**4 = 0. Calculate q.
-1, -2/3, 49
Let i(r) be the first derivative of -4/21*r**3 - 8/7*r + 6/7*r**2 - 22. What is d in i(d) = 0?
1, 2
Let g = 78 - -60. Let m = g + -1516/11. Factor -2/11*w**5 + 0 - m*w + 0*w**2 + 0*w**4 + 4/11*w**3.
-2*w*(w - 1)**2*(w + 1)**2/11
Let t(w) be the second derivative of -w**6/30 - 3*w**5/10 - 3*w**4/4 - 2*w**3/3 + 115*w. Factor t(g).
-g*(g + 1)**2*(g + 4)
Let y(t) = -t**2 - 9*t + 2. Let k be y(-8). Let x = -7 + k. Find i, given that i**2 - x*i + 3*i - 2*i = 0.
0, 2
Suppose -6 = -8*n + 5*n. Let -6*v**3 - 9*v**n + 9*v**3 - 6*v**3 + 12 = 0. Calculate v.
-2, 1
Let h be (84/(-280))/(1/(-20)). Let y(b) be the third derivative of 2/3*b**3 + 0*b + 16/5*b**5 + 2*b**4 + 0 + 32/15*b**6 + h*b**2. Factor y(i).
4*(4*i + 1)**3
Let y(l) be the third derivative of -l**6/30 + l**5/15 + l**4/3 + 3*l**2 + 53*l. Determine z so that y(z) = 0.
-1, 0, 2
Let c be 5*((-11)/55 - -1). Factor 18/5*j**c + 0 + 3/5*j**5 + 36/5*j**2 + 39/5*j**3 + 12/5*j.
3*j*(j + 1)**2*(j + 2)**2/5
Let u(b) be the third derivative of -b**8/168 + 4*b**7/105 - b**6/20 - 2*b**5/15 + b**4/3 - 24*b**2. Find n such that u(n) = 0.
-1, 0, 1, 2
Suppose 3/8*v**4 + 3*v - 3/4*v**3 - 3/2*v**2 + 0 = 0. What is v?
-2, 0, 