 - 14*l**2 - 3. Solve q(b) = 0 for b.
-11, -1
Solve -25*y**3 + 40*y**2 + 13 - 57 - 26 + 25*y + 30*y**3 = 0.
-7, -2, 1
Let v(b) be the second derivative of -b**4/3 + 4*b**3/3 + 198*b**2 - 387*b - 1. Factor v(z).
-4*(z - 11)*(z + 9)
Let u(n) be the third derivative of n**6/660 - n**5/165 - 5*n**4/44 + 12*n**3/11 - 64*n**2. Suppose u(k) = 0. What is k?
-4, 3
Suppose 0 = 2*m + 3*m + 120. Let q be 2/12 + (-116)/m. Factor -b + 3*b**5 + 2*b**3 - 4*b**q + 0*b.
-b*(b - 1)**2*(b + 1)**2
Let o(g) be the third derivative of 1/480*g**6 - 1/240*g**5 - 5/96*g**4 - 18*g**2 + 0*g + 0 - 1/8*g**3. Factor o(j).
(j - 3)*(j + 1)**2/4
Suppose 0 = -6*m - 14*m. Find z, given that 2/9*z**5 + 2/9*z - 4/9*z**3 + 0*z**4 + m + 0*z**2 = 0.
-1, 0, 1
Suppose -14*z = -12*z + 4, -4*z + 2 = 5*u. Let -1/6*t + 0 - 1/3*t**u - 1/6*t**3 = 0. What is t?
-1, 0
Let s(p) = 4*p**3 - 8*p. Suppose -3*w - 101 + 89 = 0. Let u(m) = 3*m**3 - 4*m**3 + m**2 - m**4 + 0*m**2. Let b(f) = w*u(f) + s(f). Suppose b(i) = 0. What is i?
-2, -1, 0, 1
Let i(b) be the second derivative of 0*b**3 + b**4 + 0*b**5 - 1/504*b**7 + 0 + 0*b**2 + 2*b - 1/144*b**6. Let d(g) be the third derivative of i(g). Factor d(l).
-5*l*(l + 1)
Solve -6203*d**4 - 55*d**2 + 30*d - 5*d**5 + 15*d**3 + 3104*d**4 + 3114*d**4 = 0.
-2, 0, 1, 3
Let a(x) be the first derivative of 2*x**3/3 - 3*x**2 + 4*x + 330. Determine r so that a(r) = 0.
1, 2
Let m(s) = -2*s**2 - 25*s + 16. Let b be m(-13). Find q such that 3*q + 15*q**3 + 6*q - 6 - 5*q**b - 13*q**3 = 0.
-2, 1
Factor 10594972*z**3 + 50611*z - 181476*z**2 - 3 - 2005108*z**3 - 49333*z.
3*(142*z - 1)**3
Let f(m) be the second derivative of 0*m**3 - 1/60*m**6 - 5*m - m**2 - 1/40*m**5 + 1/48*m**4 + 0. Let d(h) be the first derivative of f(h). Factor d(b).
-b*(b + 1)*(4*b - 1)/2
Suppose 3 = 2*k + k - 3*a, -4*a = -2*k - 2. Factor -4*s**k + 3 - s**2 + 7*s - 19*s**2 + 15*s**3 - 1.
(s - 1)**2*(11*s + 2)
Let u(x) be the third derivative of 1/105*x**7 + 0*x**4 - 1/15*x**5 + 1/3*x**3 + 9*x**2 + 0 + 0*x + 0*x**6. Factor u(t).
2*(t - 1)**2*(t + 1)**2
Let g be 9 + -14 + (-10 - -17). Suppose 8/7*p + 20/7*p**g - 12/7 = 0. What is p?
-1, 3/5
Let g be (-5)/((-135)/(-24))*102/(-136). Suppose 0*m - 2/3*m**4 + 2/3*m**3 - g*m**5 + 2/3*m**2 + 0 = 0. What is m?
-1, 0, 1
Factor -6*l**2 + 279 + 6*l**3 - 255 - 12*l + l**3 - 4*l**3.
3*(l - 2)**2*(l + 2)
Find b, given that 24/7 + 66/7*b**2 - 24/7*b**3 - 18/7*b**4 + 96/7*b = 0.
-2, -1, -1/3, 2
Suppose 4*v - 5*r - 5 = 22, -4*r - 24 = -4*v. Let b(s) be the third derivative of 0 + 0*s + v*s**2 - 1/36*s**4 + 0*s**3 + 1/90*s**5. Factor b(l).
2*l*(l - 1)/3
Let o(w) be the second derivative of -3*w**5/50 + w**4/20 + w**3/2 + 3*w**2/5 + 20*w. Solve o(s) = 0.
-1, -1/2, 2
Let a be (19/(-76))/(3/(-36)) - 3. Factor 5/3*s**2 + a*s - 20/3.
5*(s - 2)*(s + 2)/3
Let x(i) = 6*i**2 + 12*i - 12. Let d(g) = -g**2 - 1. Let n(v) = -3*d(v) - x(v). Factor n(p).
-3*(p - 1)*(p + 5)
Let n = 7012 - 42071/6. Factor -1/3*c**3 + n + 1/3*c - 1/6*c**4 + 0*c**2.
-(c - 1)*(c + 1)**3/6
Suppose -3*s - 4*r - 14 = 0, 3*r = 17*s - 13*s - 23. Let 0*d + 0 - 8/17*d**3 + 0*d**s - 2/17*d**4 = 0. Calculate d.
-4, 0
Let v(l) be the third derivative of l**7/385 + 81*l**6/110 + 611*l**5/10 + 3240*l**4/11 + 6400*l**3/11 - 39*l**2. What is x in v(x) = 0?
-80, -1
Let a(h) be the first derivative of 1/9*h**2 + 4/9*h - 2/27*h**3 + 10. Factor a(x).
-2*(x - 2)*(x + 1)/9
Let v(g) be the first derivative of 2*g**3/3 + 65*g**2 + 128*g + 338. Suppose v(m) = 0. Calculate m.
-64, -1
Suppose 3*j - 2*u = 11, -1 = -2*j - 2*u + 3. Suppose 3*i = -4*v - 4 - j, 3*v + 2*i = -4. Determine z, given that -4*z**3 + 4*z + 4*z**v - 38 + 0*z + 34 = 0.
-1, 1
Let q(p) be the first derivative of -25*p**3/21 + 123*p**2/14 + 10*p/7 - 2. Factor q(g).
-(g - 5)*(25*g + 2)/7
Factor 2/5*x**2 + 10*x + 48/5.
2*(x + 1)*(x + 24)/5
Let z be 490/392 + (-3)/(-8)*2. Let m(h) be the second derivative of 3/10*h**3 + 1/5*h**4 + 3*h - 3/10*h**z + 0. Factor m(d).
3*(d + 1)*(4*d - 1)/5
Let j(a) be the second derivative of -a**7/8820 + a**6/630 - 4*a**4/3 - 11*a. Let x(v) be the third derivative of j(v). Find r such that x(r) = 0.
0, 4
Let p(j) = -2*j**5 - 4*j**4 + 10*j**3 - 4*j**2 - 12*j - 4. Let k(n) = -2*n**4 + n**3 + n**2 - n - 1. Let z(g) = 4*k(g) - p(g). Solve z(q) = 0.
-1, 0, 2
Let o(i) = -3*i**2 + 42*i - 143. Let y(a) = 6*a**2 - 84*a + 285. Let b(w) = -9*o(w) - 4*y(w). Let b(j) = 0. What is j?
7
Suppose 0 = -h - 2*u - 3, -3*u = -u + 2. Let s be 4/((-5 - -3)*h). Solve -4*z + s*z - 5*z**2 - 1 + 4*z**2 = 0.
-1
Factor -45*w - 438*w**2 - 1123*w**4 + 78*w**3 + 1121*w**4 + 2935*w - 480*w**2.
-2*w*(w - 17)**2*(w - 5)
Factor 291 - 427*n + 72*n - 116 + 185*n**2 - 5*n**3.
-5*(n - 35)*(n - 1)**2
Let w(d) be the third derivative of -d**6/30 - 91*d**5/15 + 46*d**4/3 + d**2 + 30. Factor w(k).
-4*k*(k - 1)*(k + 92)
Factor -18*h**4 + 73*h**2 + 11*h**2 + 3*h**3 + 33*h**3 + 14*h**4 + 44*h.
-4*h*(h - 11)*(h + 1)**2
Solve 16*u + 39 + 0*u**3 - 15*u**2 + 67*u**2 - 4*u**4 - 16*u**3 - 87 = 0 for u.
-6, -1, 1, 2
Factor 32/7*h**4 + 0*h + 2/7*h**5 + 0 + 28*h**2 + 22*h**3.
2*h**2*(h + 2)*(h + 7)**2/7
Let m(j) = 2*j**3 + 10*j**2 + 2. Let t be m(-5). Suppose -s - 5 = 5*d, -5*d - 5 = 2*s + 3*s. Solve 14*q + s - 6*q - 12 + 4*q**t = 0 for q.
-3, 1
Suppose -5*t = -n - 5, 2*t + 3*n - 5 = 14. Let p be 9*8/(-24) - (-10)/t. Determine z, given that -2/5*z - 1/5*z**4 + 2/5*z**3 + 0*z**p + 1/5 = 0.
-1, 1
Let k = 13344 - 13342. Suppose -4/7*f**k - 2/7 - 5/7*f - 1/7*f**3 = 0. Calculate f.
-2, -1
Suppose 5*x + 4*g = 54, -2*x = -5*g - 36 - 12. Let t = -8 + x. Factor -3*h**3 + 15*h + t - 6*h + 0.
-3*(h - 2)*(h + 1)**2
Let f(y) be the third derivative of 0 + 52*y**2 - 9/10*y**3 - 31/200*y**6 + 3/175*y**7 + 23/100*y**5 + 0*y + 51/40*y**4. Determine a, given that f(a) = 0.
-1, 1/6, 3
Suppose 30/7*k - 2/7*k**2 + 32/7 = 0. Calculate k.
-1, 16
Let w(u) = 9*u**2 - 57*u + 48. Let d(z) = 26*z**2 - 170*z + 144. Let y(o) = 6*d(o) - 17*w(o). Determine h so that y(h) = 0.
1, 16
Let j(v) be the first derivative of -5*v**4/12 + 7*v**3/9 + 7*v**2/2 + 3*v - 60. Find b, given that j(b) = 0.
-1, -3/5, 3
Suppose 8 + 16/7*v**2 + 76/7*v - 4/7*v**3 = 0. What is v?
-2, -1, 7
Suppose 0 = 9*z - 3*z - 24. What is j in -4*j**3 + z*j + 20 - 20 = 0?
-1, 0, 1
Let m(s) be the second derivative of 1/20*s**5 + 1/6*s**4 - 8*s - s**2 + 0 - 1/6*s**3. Determine c so that m(c) = 0.
-2, -1, 1
Let s(m) be the second derivative of -2*m**6/21 + 13*m**5/35 - 2*m**4/7 + 276*m - 2. Solve s(n) = 0 for n.
0, 3/5, 2
Let k(h) = 3*h**2 - 6*h - 14. Let r be k(8). Suppose -41 - r = -3*i. Solve 51*f**3 - 45*f**4 - 3 - 9*f**2 + i*f**2 + 12*f - 117*f**3 + 54*f**5 = 0 for f.
-1, -1/3, 1/6, 1
Let k(t) be the first derivative of -t**4 + 0*t**2 + 0*t - 4/3*t**3 - 2. Factor k(d).
-4*d**2*(d + 1)
Let y(c) be the first derivative of 21*c**4/13 - 550*c**3/39 - 131*c**2/13 - 28*c/13 - 844. Let y(t) = 0. What is t?
-2/7, -1/6, 7
Let x(s) = -s - 5. Let p be x(-7). Determine u, given that 33*u**2 + 5*u**3 + 27*u**p - 5*u - 98*u**2 + 33*u**2 + 5*u**4 = 0.
-1, 0, 1
Suppose -2*d + 4*s - 36 = -6*d, d + 11 = 3*s. Let k be (2 + -1)/4 + (d - 4). Determine u so that -1/2*u - k - 1/4*u**2 = 0.
-1
Let w be (-1 - 0)/((-2)/(-1708)*7). Let u = w + 122. Let -2/9*i**3 + 0*i**2 + 2/9*i**4 + 0*i + u = 0. Calculate i.
0, 1
Let x(t) be the second derivative of 3*t**5/20 - 19*t**4/48 + t**3/3 - t**2/8 - 160*t. Factor x(r).
(r - 1)*(3*r - 1)*(4*r - 1)/4
Let o be (-6)/5 + (-2)/(-10) + 3. Factor 3*v - 18*v**o + 0*v + 17*v**2.
-v*(v - 3)
Let p(q) be the first derivative of -q**7/3360 - q**6/480 - q**5/160 - q**4/96 - 7*q**3/3 - 11. Let r(t) be the third derivative of p(t). Factor r(m).
-(m + 1)**3/4
Let s(d) be the third derivative of d**7/12 + d**6/3 - 17*d**5/24 - 5*d**4/8 + 141*d**2. Suppose s(v) = 0. Calculate v.
-3, -2/7, 0, 1
Let x(h) be the third derivative of 0*h**3 + 1/840*h**8 - h**2 - 1/75*h**5 + 2/525*h**7 + 0 + 0*h - 1/75*h**6 + 1/20*h**4. Solve x(j) = 0.
-3, -1, 0, 1
Let k(j) be the first derivative of -245*j**4/12 + 1190*j**3/9 - 950*j**2/3 + 1000*j/3 + 616. Factor k(u).
-5*(u - 2)*(7*u - 10)**2/3
Let m = 104 + -84. Let a(q) = 8*q**2 + 308*q - 316. Let h(x) = -x**2 - 44*x + 45. Let c(b) = m*h(b) + 3*a(b). Factor c(y).
4*(y - 1)*(y + 12)
Let x be (-12)/28*2*(-7)/2. Determine z 