+ 30 - (1 - -11). Let n(x) = 6*x**2 + 16*x + 16. Let y(u) = i*q(u) + 3*n(u). Suppose y(b) = 0. What is b?
-2
Suppose -33*p = 20 + 13. Let q(x) = -x**5 - 4*x**4 + 6*x**3 - 6*x**2 - 10*x + 5. Let k(u) = u**3 - 2*u**2 - 2*u + 1. Let z(c) = p*q(c) + 5*k(c). Factor z(l).
l**2*(l - 1)*(l + 1)*(l + 4)
Let q(c) be the first derivative of -2*c**5/45 - 7*c**4/9 - 34*c**3/27 + 80*c**2/9 - 32*c/3 - 749. Suppose q(l) = 0. Calculate l.
-12, -4, 1
Factor -792*h**2 - 2/11*h**4 + 0 + 0*h + 24*h**3.
-2*h**2*(h - 66)**2/11
What is b in -76/7*b + 34/7*b**2 + 0 + 40/7*b**3 + 2/7*b**4 = 0?
-19, -2, 0, 1
Let l(w) be the second derivative of -w**6/30 - w**5/10 + 4*w**4/3 + 16*w**3/3 + 685*w - 2. Factor l(z).
-z*(z - 4)*(z + 2)*(z + 4)
What is f in -36*f + 0 - 30*f**2 - 1/2*f**4 - 7*f**3 = 0?
-6, -2, 0
Let o(d) be the third derivative of -d**5/180 - 685*d**4/72 + 25*d**2 + 124*d + 2. Suppose o(c) = 0. Calculate c.
-685, 0
Let l(f) be the first derivative of -2*f**3/3 + 2892*f**2 - 4181832*f - 8130. Factor l(o).
-2*(o - 1446)**2
Let x(k) be the second derivative of -2*k**3 - 55*k**2 + 1/6*k**4 - 9*k - 13. Let x(b) = 0. Calculate b.
-5, 11
Let j be 3 + -1 + 1 - (3 + -3). Let -61*u**2 + 55*u**2 + u**3 + 14*u**5 + 6 + 9*u - 13*u**j - 11*u**5 = 0. Calculate u.
-1, 1, 2
Let q(l) be the third derivative of -l**8/60480 - 11*l**7/15120 - l**6/72 + 151*l**5/30 - 158*l**2. Let o(x) be the third derivative of q(x). Factor o(u).
-(u + 5)*(u + 6)/3
Let f(t) be the second derivative of t**5/90 + 37*t**4/54 + 448*t**3/27 + 196*t**2 + 49*t - 5. Factor f(k).
2*(k + 9)*(k + 14)**2/9
Let n(z) be the third derivative of -z**5/150 + 13*z**4/30 - 133*z**3/15 + 1943*z**2. Determine o so that n(o) = 0.
7, 19
Let r(i) be the second derivative of -5*i**4/48 - 145*i**3/12 - 525*i**2 - 2570*i. Find s such that r(s) = 0.
-30, -28
Let g = -199 - -653. Solve 577*f**2 - 45*f - 48 - 3464*f**3 + 253*f - g*f**5 + 355*f**2 + 1750*f**5 - 2844*f**4 = 0.
-1, -1/4, 2/9, 3
Let q(l) = -3*l**4 + 99*l**3 + 5*l**2 - 107*l. Let r(o) = -3*o**4 + 102*o**3 + 6*o**2 - 114*o. Let v(y) = 3*q(y) - 2*r(y). Factor v(n).
-3*n*(n - 31)*(n - 1)*(n + 1)
Let z = -207875 - -207877. Suppose 4/7*f**z + 0 + 12/7*f = 0. What is f?
-3, 0
Let k(t) be the third derivative of t**5/60 - t**4/12 - 31*t**3/6 + 128*t**2. Let a be k(7). Factor 2/3*y**5 + 0*y**2 + 2/3*y**3 + 0 - 4/3*y**a + 0*y.
2*y**3*(y - 1)**2/3
Let k(h) be the second derivative of -h**6/300 - 2*h**5/75 - h**4/15 - 23*h**2 - 4*h + 19. Let v(j) be the first derivative of k(j). Factor v(y).
-2*y*(y + 2)**2/5
Let n be (-5)/((-140)/(-8))*14/2*-1. Factor -3/2 + 3/2*k**n - 3/2*k**3 + 3/2*k.
-3*(k - 1)**2*(k + 1)/2
Factor -7984 + 91652 + 2*d**3 + 1266*d**2 - 75087 + 200976*d + 84031 + 107100.
2*(d + 1)*(d + 316)**2
Suppose -5*k + 45 = 5*f, -3017*f + 2984*f + 101 = 5*k. Solve -4/17 - 2/17*o**3 + 0*o**f + 6/17*o = 0 for o.
-2, 1
Let h(o) be the first derivative of -28 + 36*o**5 + 2212/3*o**3 - 288*o + 296*o**4 + 372*o**2. Determine p so that h(p) = 0.
-3, -4/5, 2/9
Let g = 56 - 559/10. Let k = -16395 - -16398. Let 2/5*f**2 - g*f**k - 1/2*f + 1/5 = 0. What is f?
1, 2
Let n(w) be the first derivative of -2*w**5/65 + 101*w**4/26 + 212*w**3/13 - 616*w**2/13 - 128*w - 3801. Let n(c) = 0. Calculate c.
-4, -1, 2, 104
Let p(g) be the second derivative of 7*g**5/60 - 9*g**4/4 - 8*g**3/3 - 75*g**2 - 3*g + 28. Let l(s) be the first derivative of p(s). Factor l(j).
(j - 8)*(7*j + 2)
Let m be (-49)/((-37)/851*23). Solve 336*a + 1351/4*a**3 - 2745/4*a**2 - m + 237/4*a**4 + 9/4*a**5 = 0.
-14, 1/3, 1
Determine u so that 1/8*u**2 - 283/8*u + 0 = 0.
0, 283
Let z be -5*((-405)/225 - (-14)/8). Let k(b) be the first derivative of 1/12*b**3 + 0*b**2 + 24 - z*b. Factor k(h).
(h - 1)*(h + 1)/4
Suppose -12*j + 4*j = 16. Let r be 1 + (-4 - -3 - j). Let -2*p - 2*p**4 - 6*p**3 - r*p**2 - 3*p**2 - p**2 = 0. Calculate p.
-1, 0
Let s(p) be the first derivative of 24*p - 14/3*p**3 + 4*p**2 + 14 + 1/2*p**4. Determine y, given that s(y) = 0.
-1, 2, 6
Let r(l) = 3*l**2 + 8*l + 121. Let s be r(-16). Let h = 8379/11 - s. Find c such that -h*c**5 + 2/11 - 8/11*c - 4/11*c**2 + 16/11*c**3 + 2/11*c**4 = 0.
-1, 1/4, 1
Factor -2691*o**2 + 804609*o - 44201101 + 11655146 + 0*o**3 + 2*o**3 + o**3 - 47646742.
3*(o - 299)**3
Let v be (45/(-54))/((1/5)/((-16)/20)). What is u in -2/3*u**4 - 5*u - 13/6*u**2 + v*u**3 - 3/2 = 0?
-1/2, 3
Let u(j) = 15*j**5 - 335*j**4 + 415*j**3 + 115*j**2 - 202*j - 6. Let t(k) = -4*k + 3. Let o(y) = -2*t(y) - u(y). Find f, given that o(f) = 0.
-2/3, 0, 1, 21
Solve -250*i - i**2 + 336 + 108 + 0*i**2 + 60 = 0.
-252, 2
Let o be (-2)/4 + (-15)/((-30)/4). Let v(n) be the second derivative of 0 + o*n**3 + 4*n + 3*n**2 + 1/4*n**4. Factor v(s).
3*(s + 1)*(s + 2)
Let a(l) = -9*l**2 - 163*l - 19. Let v be a(-18). Let x(i) = i**2 - 35*i. Let w(s) = -2*s**2. Let f(m) = v*x(m) - 3*w(m). Let f(z) = 0. What is z?
-7, 0
Suppose -80 + 20*z - 19*z**5 + 560*z**4 + 113*z**2 + 24*z**5 - 580*z**4 - 25*z**3 - 13*z**2 = 0. Calculate z.
-2, -1, 1, 2, 4
Let l(c) be the first derivative of 3/11*c**2 - 25 - 18/11*c + 10/33*c**3 + 1/22*c**4. Suppose l(r) = 0. Calculate r.
-3, 1
Let m = 87519 + -262553/3. Suppose -2*n**4 + 0 + 14/3*n**2 + m*n + 4/3*n**3 = 0. What is n?
-1, -1/3, 0, 2
Let h(w) = -w**2 + 9*w + 6. Let x be h(6). Let p be x/20 + 18/135. Solve 4/3*k**2 + p*k**4 - 8/3 + 4*k - 4*k**3 = 0 for k.
-1, 1, 2
Let j be (-22)/(-1) - ((6 - -19) + -23) - 14. What is a in 12*a - 8/3*a**3 + j + 10/3*a**2 = 0?
-1, -3/4, 3
Suppose -5*x - 2*m - 22 = 0, 11 = -x - 13*m + 12*m. Find j, given that x*j - 2*j**2 + 0*j**3 + 9/5 + 1/5*j**4 = 0.
-3, -1, 1, 3
Let u(p) = 7*p**2 + 11*p + 9. Let y(w) = 4*w**2 + 6*w + 5. Let v(t) = 3*u(t) - 5*y(t). Let k be v(-2). Factor 26/3*j**3 + k - 8/3*j + 20/3*j**2 + 7/3*j**4.
j*(j + 2)**2*(7*j - 2)/3
Let z be 5/2*(-9)/(900/(-16)). Suppose 0 = -55*y + 447 - 227. Factor -2/5*a + 0 + 2/5*a**3 - z*a**y + 2/5*a**2.
-2*a*(a - 1)**2*(a + 1)/5
Let b(u) be the second derivative of -u**8/2240 + u**7/840 + 7*u**4/6 + 3*u**2/2 + 25*u + 1. Let v(k) be the third derivative of b(k). Factor v(z).
-3*z**2*(z - 1)
Let u(s) be the second derivative of s**5/30 - 4*s**4/3 + 23*s**2/2 + 3*s - 11. Let p(d) be the first derivative of u(d). Find n such that p(n) = 0.
0, 16
Let k be ((-3868)/(-4835))/((-2)/(-5)). Let j(t) be the third derivative of 0 + 0*t - 1/240*t**5 + 5/48*t**4 + 0*t**3 - 42*t**k. Factor j(v).
-v*(v - 10)/4
Suppose -6*b - 4*h = -9*b - 11, -17 = -4*b - h. Let 24*l**2 + 71 - 6 - 33 - 32 - 4*l**b = 0. What is l?
0, 6
Let w(t) be the first derivative of -1/30*t**4 + 171 + 7/15*t**2 + 0*t**3 + 4/5*t. Factor w(z).
-2*(z - 3)*(z + 1)*(z + 2)/15
Let d(n) = -11*n**3 + 287*n**2 - 296*n - 8. Let h(o) = -24*o**3 + 573*o**2 - 594*o - 18. Let x(v) = 9*d(v) - 4*h(v). Suppose x(i) = 0. What is i?
0, 1, 96
Let m(s) be the third derivative of -s**7/504 + 2*s**6/3 - 96*s**5 + 7*s**4/24 - s**2 - 14*s. Let p(a) be the second derivative of m(a). What is h in p(h) = 0?
48
Let k(a) be the first derivative of 7*a**4 + 102 - 6*a**2 + 9/2*a - 13/3*a**3 + 49/10*a**5. Factor k(c).
(c + 1)**2*(7*c - 3)**2/2
Let g(j) be the second derivative of -19683*j**7/14 - 94041*j**6/10 + 32319*j**5/10 - 403*j**4 + 20*j**3 + 36*j + 3. Find o, given that g(o) = 0.
-5, 0, 2/27
Let y(j) be the second derivative of 1/15*j**6 - 1/42*j**7 + j - j**2 - 2/3*j**4 + 1/10*j**5 - 31 + 7/6*j**3. Factor y(p).
-(p - 1)**4*(p + 2)
Let l(b) be the second derivative of -5*b**4/12 - 1045*b**3 - 1965645*b**2/2 + 5302*b. Factor l(p).
-5*(p + 627)**2
Let b(w) be the third derivative of w**7/357 + 3*w**6/85 + 31*w**5/255 + 3*w**4/17 + 5*w**3/51 - 856*w**2. Determine s, given that b(s) = 0.
-5, -1, -1/5
Let y(m) = 5*m**4 - 77*m**3 + 83*m**2 + 158*m + 7. Let r(z) = 6*z**4 - 76*z**3 + 82*z**2 + 156*z + 8. Let k(f) = 7*r(f) - 8*y(f). Solve k(u) = 0 for u.
-43, -1, 0, 2
Factor 18/5*z**4 + 54/5*z**2 + 0*z + 2/5*z**5 + 0 + 54/5*z**3.
2*z**2*(z + 3)**3/5
Let n = 698 - 714. Let c be 6/12*n/(-28). Factor 12/7*t**3 + 0 + 6/7*t**5 + 0*t**2 + 16/7*t**4 - c*t.
2*t*(t + 1)**3*(3*t - 1)/7
Factor -256/9*h**4 - 33708*h**2 - 1774224 + 2/9*h**5 + 12674/9*h**3 + 391608*h.
2*(h - 37)**2*(h - 18)**3/9
Let l(w) be the first derivative of 3/8*w**2 - 54 - 1/2*w - 1/12*w**3. Factor l(r).
-(r - 2)*(r - 