rivative of l(d). Factor t(z).
4*(z - 3)*(z + 1)
Let q(k) = -3*k**3 + 15*k**2 - 41*k + 27. Let h(b) = b**3 - b**2 + b. Let d(j) = -2*h(j) - q(j). Factor d(c).
(c - 9)*(c - 3)*(c - 1)
Let k(o) = o**3 + o**2 - 31*o - 3. Let x be k(-6). Factor 5*l**4 - 11*l**2 + 2*l**2 - 8*l**x - 7*l**3 + 24*l**2 - 5*l.
5*l*(l - 1)**3
Let o be 10/(-40) - ((4266/24)/9)/(-7). Factor o*z**2 + 0 - 3*z + 3/7*z**3.
3*z*(z - 1)*(z + 7)/7
Suppose -2*k + 5*i = -43, 2*i + 15 = -i. Find y such that 3*y + 12*y**2 - 22*y**2 + k*y**2 = 0.
0, 3
Let m be (-5625)/(-450)*2/30. Factor -m*k**3 + 2/3*k**4 + 0*k + 0 - 1/6*k**5 + 1/3*k**2.
-k**2*(k - 2)*(k - 1)**2/6
Let h(w) = 4*w**2 - 5*w - 4*w + 3*w. Let i(r) be the second derivative of -r**4/12 + r**3/6 - 173*r. Let n(c) = -h(c) - 6*i(c). Factor n(l).
2*l**2
Suppose 43*j = -66*j + 327. What is i in 4/5*i**2 + 18/5*i**j - 4/5 - 18/5*i = 0?
-1, -2/9, 1
Let h = -11229/35 + 1627/5. Factor 128/7 + 2/7*t**2 - h*t.
2*(t - 8)**2/7
Solve 40285*b**3 - 145*b - 40260*b**3 - 5*b**4 + 5*b**2 + 9*b**2 - 210 + 81*b**2 = 0 for b.
-3, -1, 2, 7
Let l(v) be the second derivative of -v**6/105 + 2*v**5/7 - 71*v**4/21 + 20*v**3 - 63*v**2 - 135*v. Find z such that l(z) = 0.
3, 7
Suppose 0*i = -0*i + 7*i. Solve 4/3*z**5 + 0*z**2 + 4/3*z**3 - 8/3*z**4 + 0 + i*z = 0.
0, 1
Let b(v) be the third derivative of v**8/448 - v**7/70 - 3*v**6/80 + v**5/20 + 5*v**4/32 - 53*v**2 + 1. Let b(c) = 0. Calculate c.
-1, 0, 1, 5
Suppose 4*f + 8 = -4*g - 0, -2*f = 10. Let m = 4 + g. Factor -12*r + 11*r**2 + m*r**2 + 15*r**3 - 24 + 0*r**4 + 3*r**4.
3*(r - 1)*(r + 2)**3
Let k(r) = 6*r + 114. Let a(b) = b. Let i(v) = a(v) + k(v). Let t be i(-16). Let -2/3*j**3 + 0 + 0*j + 2*j**t = 0. What is j?
0, 3
Let d(k) be the first derivative of 0*k**2 + 2/3*k**3 - 24 + 0*k - 1/4*k**4. Find v such that d(v) = 0.
0, 2
Let d(o) be the second derivative of o**6/240 - o**5/40 + o**3/3 - 5*o**2/2 - 9*o. Let z(i) be the first derivative of d(i). Determine m, given that z(m) = 0.
-1, 2
Let q(o) = -19*o**3 + 18*o**2 + 22*o + 29. Let i(v) = -7*v**3 + 6*v**2 + 7*v + 10. Let h(n) = 11*i(n) - 4*q(n). What is y in h(y) = 0?
-3, -2, -1
Let m(h) be the third derivative of -h**6/60 - h**5/5 + 5*h**4/4 - 8*h**3/3 - 30*h**2. Factor m(w).
-2*(w - 1)**2*(w + 8)
Solve 0*c + c**3 - 4*c**2 + 1/2*c**4 + 0 = 0.
-4, 0, 2
Let p(f) be the first derivative of 0*f**2 + 11/1800*f**6 + 8 + 0*f**4 + 0*f + 1/300*f**5 - 2/3*f**3. Let i(k) be the third derivative of p(k). Factor i(j).
j*(11*j + 2)/5
Suppose p = -i - 1, -3*i + i = -5*p - 33. Factor -48*g**2 + 28*g - i*g**3 - 125*g - 47*g.
-4*g*(g + 6)**2
Let r be (-73)/(-3) - 0 - 30/45. Let h = -23 + r. Let h*o - 1/3*o**2 + 0 = 0. What is o?
0, 2
Suppose 17*n - 16*n - 3 = 0. Factor -6*i - n*i**2 - 6*i + i**2 - 12 - i**2.
-3*(i + 2)**2
Let p(s) be the second derivative of 0*s**5 + 1/6*s**4 + 0*s**3 - 1/2*s**2 + 13*s - 1/30*s**6 + 0. Factor p(k).
-(k - 1)**2*(k + 1)**2
Let j(d) = -6*d**3 - 6*d**2 + 5. Let b(v) be the third derivative of -v**6/40 - v**5/20 + v**3/2 + 9*v**2. Let f(h) = 5*b(h) - 3*j(h). Factor f(t).
3*t**2*(t + 1)
Let a = 2806/5 - 560. Find m such that -a*m - m**2 + 4/5*m**3 + 0 = 0.
-3/4, 0, 2
Factor 12/5*w**2 - 6/5*w**3 + 6/5*w - 12/5.
-6*(w - 2)*(w - 1)*(w + 1)/5
Let w(p) = -10*p**3 + 265*p + 535. Let v(x) = 15*x**3 - 398*x - 803. Let t(c) = -5*v(c) - 7*w(c). Factor t(o).
-5*(o - 6)*(o + 3)**2
Let m = 4 + -1. Suppose -m*d = d - 8. What is h in 8*h**d - 4*h**2 + h - 6*h**2 + 3*h**2 = 0?
-1, 0
Let s = -76 - -77. Let m be s/(21/(-14))*(-3)/5. Factor -2/5*o**2 - 4/5*o - m.
-2*(o + 1)**2/5
Let i(n) be the third derivative of -961*n**5/35 + 93*n**4/14 - 9*n**3/14 + 255*n**2 + 2. Suppose i(y) = 0. What is y?
3/62
Let r(s) be the second derivative of s**6/60 - s**5/8 + s**4/24 + 7*s**3/4 - 9*s**2/2 + 38*s - 1. Factor r(j).
(j - 3)**2*(j - 1)*(j + 2)/2
Let m(j) be the second derivative of j**6/15 + 11*j**5/10 + 3*j**4/2 - 11*j**3/3 - 10*j**2 - 619*j. Suppose m(b) = 0. Calculate b.
-10, -1, 1
Let v(w) = 2*w**3 - 13*w**2 - w + 36. Let o be (-8)/(-8) - (-2 + 1) - -3. Let a(f) = f**3 - 6*f**2 - f + 18. Let y(h) = o*a(h) - 2*v(h). Factor y(p).
(p - 3)**2*(p + 2)
Let m(n) be the third derivative of -2*n**7/315 + 23*n**6/360 + 7*n**5/18 + 2*n**4/9 + 328*n**2. Let m(h) = 0. Calculate h.
-2, -1/4, 0, 8
Let i(q) = -2*q - 35. Let n be i(-19). Find v, given that -107*v**2 - 2*v**4 + 50*v**2 + 0*v**3 + 55*v**2 - 4*v**n = 0.
-1, 0
Determine q so that -51/2*q**2 - 1/6*q**4 - 7/2*q**3 - 427/6*q - 49 = 0.
-7, -6, -1
Let d(f) be the third derivative of -f**5/40 + 41*f**4/8 - 81*f**3/4 + 105*f**2 + 3*f. Solve d(q) = 0.
1, 81
Suppose 0 = 4*u - o - 7, -65*o + 61*o + 10 = 3*u. Factor -3/4*p**u + 3/8*p**4 + 3/8 + 0*p**3 + 0*p.
3*(p - 1)**2*(p + 1)**2/8
Let v(h) be the second derivative of -4*h**7/3 - 269*h**6/5 - 2276*h**5/35 - 206*h**4/7 - 16*h**3/3 - 426*h. Let v(q) = 0. What is q?
-28, -2/7, -1/4, 0
Let z be 3/(-30)*-1*5/8. Let s(o) be the second derivative of 3/2*o**2 - 1/2*o**3 + 6*o + 0 + z*o**4. Factor s(m).
3*(m - 2)**2/4
Let z be (3 + -3)/(1/((-3)/(-6))). Solve 0*t**2 + 2/3*t**4 + 0*t + 1/3*t**5 + z*t**3 + 0 = 0 for t.
-2, 0
Factor 22*w**3 + 45 + 65*w + 106*w**2 + 3*w - 61.
2*(w + 1)*(w + 4)*(11*w - 2)
Let x(c) be the third derivative of 0*c + 0*c**5 - 22*c**2 + 0 + 1/90*c**6 + 4/9*c**3 - 1/6*c**4. Find s, given that x(s) = 0.
-2, 1
Let w(n) be the second derivative of -1/231*n**7 - 1/33*n**4 - 4/165*n**6 + 0 - 1/22*n**5 - 17*n + 0*n**2 + 0*n**3. Let w(u) = 0. What is u?
-2, -1, 0
Let r(n) be the first derivative of 5*n**3/3 + 35*n**2/2 + 30*n + 118. Factor r(x).
5*(x + 1)*(x + 6)
Let l be (-478)/956*(1 - 22/14). Determine w, given that 0 - 2/7*w**2 + l*w = 0.
0, 1
Let b be ((-16)/(-10))/(4/230). Let r be b/2 - 4/(-2). Factor 4*i**3 + r*i - 48*i.
4*i**3
Let n(q) be the third derivative of 1/300*q**6 + q**2 + 0*q - 1/15*q**3 + 1/20*q**4 - 1/50*q**5 + 0. Solve n(i) = 0.
1
Find s, given that 4*s**2 + 0*s**3 + 33*s**5 + 0*s**2 + 2*s**3 - 16*s**2 + 8*s**4 - 31*s**5 = 0.
-3, -2, 0, 1
Let w(n) be the second derivative of 1/180*n**6 + 27*n + 1/252*n**7 - 7/36*n**4 - 1/20*n**5 - 1/4*n**2 + 0 - 11/36*n**3. Let w(q) = 0. Calculate q.
-1, 3
Let p be 3/(-36)*-26 + -2. Suppose 0 = -2796*c + 2836*c. Determine y, given that 0 - 2/3*y**3 + c*y - p*y**4 - 2/3*y**2 = 0.
-2, 0
Let o(t) be the first derivative of -t**7/1050 - t**6/300 - t**5/300 - 4*t**2 - 3. Let a(q) be the second derivative of o(q). Factor a(u).
-u**2*(u + 1)**2/5
Let o be (15 + -1)/(-7 + 5). Let n = o + 11. Factor 0*c**3 + 2*c**3 - c**2 - 3*c**2 - 2*c**2 + n*c.
2*c*(c - 2)*(c - 1)
Find n, given that 6*n**2 + 7*n**2 + 2 - n**2 - 9*n**2 - 4*n**2 + n = 0.
-1, 2
Find t, given that -355*t**2 - 156 - 56*t**2 + 29*t**3 + 223*t - 14*t**3 + 274*t + 55*t = 0.
2/5, 1, 26
Let c(l) be the third derivative of l**7/315 - 7*l**6/90 + 19*l**5/30 - 19*l**4/9 + 32*l**3/9 - 94*l**2. Determine j, given that c(j) = 0.
1, 4, 8
Let j be (-2)/6 + (-10)/(-3). Suppose -i = j*i. Factor 1 - 4*s**4 - 5*s + 4*s**3 + i*s**3 + 2*s**2 + 1 + s**5.
(s - 2)*(s - 1)**3*(s + 1)
Let h = 31 - 63. Let d = h - -34. Factor -8/3*q + 8*q**d + 0 + 14/3*q**3.
2*q*(q + 2)*(7*q - 2)/3
Let y(i) be the second derivative of -1/105*i**6 - 5/21*i**3 + 0 - 1/10*i**5 - 11/42*i**4 + 28*i + 0*i**2. Factor y(f).
-2*f*(f + 1)**2*(f + 5)/7
Let z(d) be the second derivative of d**7/210 + d**6/40 + d**5/20 + d**4/24 + d**2 + 6*d. Let o(r) be the first derivative of z(r). Let o(x) = 0. What is x?
-1, 0
Let v be (560/(-30) - -14) + (-10)/(-2). Factor 13/3*q**2 + 4*q + v*q**4 + 2*q**3 + 4/3.
(q + 1)**2*(q + 2)**2/3
Let u(v) = 2*v**4 + 4*v**3 - 15*v**2 - 3. Let a(o) = o**4 - o**3 - o**2 - 1. Let l(t) = -3*a(t) + u(t). Solve l(n) = 0.
0, 3, 4
Let w(x) be the third derivative of -x**6/30 - x**5/5 + 3*x**4 + 360*x**2. Factor w(z).
-4*z*(z - 3)*(z + 6)
Suppose -27 = 41*o - 109. Let c be ((-4 - 0)/(-2))/3. Solve 4/3*v + c*v**o + 0 = 0 for v.
-2, 0
Find n such that 1/3*n**2 + 1/3*n - 4 = 0.
-4, 3
Suppose -2*a - 5 = -5*g, -8*a + 11*a = 4*g - 4. Factor -1/6*y**4 + 0*y**3 + 0*y + a + 1/6*y**5 + 0*y**2.
y**4*(y - 1)/6
Suppose 152*i**5 - 47*i**5 - 160*i - 8 - 211*i**3 - 405*i**2 - 94*i**3 - 12 + 65*i**4 = 0. What is i?
-1, -1/3, -2/7, 2
Let o(q) be the second derivative of 1/40*q**6 - 49*q - 27/8*q**3 + 27/