- 14 + 2/3*u**3. Find a, given that g(a) = 0.
-2, -2/7
Let x(q) be the second derivative of -2 + 1/150*q**6 - 10*q + 1/30*q**4 + 2/15*q**3 - 1/25*q**5 - 3/10*q**2. Suppose x(r) = 0. What is r?
-1, 1, 3
Let r be (-1 - 84/(-22)) + (-18 - (-4600)/253). Let d(o) be the third derivative of -2/3*o**3 + 0 + 1/15*o**5 + r*o**2 + 0*o + 0*o**4. Factor d(c).
4*(c - 1)*(c + 1)
Let y(o) be the second derivative of -o**4/3 - 412*o**3/3 - 1306*o. Suppose y(l) = 0. Calculate l.
-206, 0
Let c(b) be the second derivative of b**6/120 + 3*b**5/40 + b**4/4 + 3*b**3/2 + b**2 + 4*b + 19. Let z(p) be the second derivative of c(p). Solve z(u) = 0.
-2, -1
Factor 23 - 70/3*o + 1/3*o**2.
(o - 69)*(o - 1)/3
Let c(b) be the first derivative of -20 + 1/3*b**3 + 576*b - 24*b**2. Find j, given that c(j) = 0.
24
Let d(r) be the first derivative of -r**4/16 + 13*r**2/8 + 3*r - 1498. Let d(o) = 0. Calculate o.
-3, -1, 4
Let l(w) = w**2 + 1. Let h be l(3). Let y = -464 + 478. Let 2*n**5 - 20*n**2 + 20*n**3 - 12 + y + h*n - 10*n**4 - 4 = 0. What is n?
1
Let a be ((-28)/(-42))/((-2)/(-12)). Let z be (-5)/(40/(-6))*a. Factor 4*u - 7*u - 20*u**2 - 6*u + 8 - z*u.
-4*(u + 1)*(5*u - 2)
Let v be (0 - (-4)/(-4)) + (-107)/1. Let i be (-92)/v*15 + (-4)/(-18). Let 21*c**3 - 5*c - c**3 + i*c**3 - 8*c**3 + 20*c**2 = 0. Calculate c.
-1, 0, 1/5
Let v(g) be the first derivative of g**7/336 + g**6/72 - 11*g**3 - 2*g + 16. Let b(s) be the third derivative of v(s). Factor b(i).
5*i**2*(i + 2)/2
Let t(j) be the first derivative of -j**4/6 + 49*j + 71. Let u(b) be the first derivative of t(b). Solve u(n) = 0.
0
Let j(f) be the first derivative of -f**6/16 - 9*f**5/8 + 237*f**4/32 + 43*f**3/8 - 387*f**2/8 + 57*f - 1133. Solve j(n) = 0 for n.
-19, -2, 1, 4
Let j(h) be the third derivative of -h**5/210 - 23*h**4/7 - 275*h**3/21 - h**2 - 675*h. Find c, given that j(c) = 0.
-275, -1
Suppose -38 + 28 = -o. Suppose -26*l - 2*q - 2 = -29*l, -l - 4*q = -o. Factor 8/11 - l*p + 14/11*p**2.
2*(p - 1)*(7*p - 4)/11
Suppose 199 - 374 = -7*t. Let b be (-64)/(-120) - (-20)/t. Determine p so that 0 + 0*p**2 + 4/3*p**3 - b*p = 0.
-1, 0, 1
Suppose -4*w = 32, 55*w = -k + 60*w + 40. Let 14/19*j**2 + 2/19*j**4 + 6/19*j + 10/19*j**3 + k = 0. Calculate j.
-3, -1, 0
Let m(h) be the third derivative of h**5/600 - 5*h**4/16 - 79*h**3/15 + 735*h**2. Determine w so that m(w) = 0.
-4, 79
Suppose 228 = 26*k - 21*k - 3*g, -5*g = -k + 50. Find a such that 50*a**2 - 45*a**3 + 40*a**3 - 3 + 3 - k*a = 0.
0, 1, 9
Let o(d) = 34*d + 113. Let p be o(-16). Let u = 434 + p. Factor 0 - 4/7*q**2 + 0*q**u + 4/7*q**4 + 0*q.
4*q**2*(q - 1)*(q + 1)/7
Let r(j) be the first derivative of -j**7/1400 + j**6/100 - j**5/25 - 4*j**3 + 155. Let q(i) be the third derivative of r(i). Find t, given that q(t) = 0.
0, 2, 4
Let i = -7433 - -37168/5. Let k(f) be the first derivative of f**3 - 3/2*f**2 + 19 + 0*f - i*f**5 + 3/4*f**4. Factor k(t).
-3*t*(t - 1)**2*(t + 1)
Let v(k) be the first derivative of -20*k + 25/3*k**3 - 15/2*k**2 - k**5 + 15/4*k**4 + 242. Determine p, given that v(p) = 0.
-1, 1, 4
Let s(v) be the second derivative of -1/2*v**5 + 3/10*v**6 + 0*v**3 - 1/4*v**4 + 2/21*v**7 + 0 - 33*v + 0*v**2. Factor s(l).
l**2*(l - 1)*(l + 3)*(4*l + 1)
Let u be (-1)/(-4) + 3/(36/(-411)). Let i = -31 - u. Solve 20 + 4 - i*p - 3*p - 3*p**2 = 0.
-4, 2
Let o = -50602/15 + 3384. Determine r so that -22/15*r**4 - 4/3 - o*r**3 - 154/15*r - 18*r**2 = 0.
-5, -1, -2/11
Let s = -4275 - -4275. Let r(z) be the third derivative of -3/8*z**4 + 0*z**3 + s*z + 1/40*z**6 - 21*z**2 + 1/10*z**5 + 0. Let r(j) = 0. What is j?
-3, 0, 1
Let y(k) be the third derivative of k**9/1512 - k**8/210 + k**7/105 + 59*k**3/3 - 20*k**2. Let h(q) be the first derivative of y(q). Factor h(v).
2*v**3*(v - 2)**2
Suppose 33*a - 78 + 276 = 0. Let p(g) = -g**3 - 7*g**2 - 7*g - 6. Let q be p(a). Find v, given that q + 50/3*v**4 + 10/3*v**3 + 8/3*v - 32/3*v**2 = 0.
-1, 0, 2/5
Let u(h) be the third derivative of 0 + 0*h + 0*h**3 - 1/300*h**5 + 0*h**4 + 1/600*h**6 - 24*h**2. Factor u(m).
m**2*(m - 1)/5
Let h = -3313134/5 - -662631. Factor 1/5*a**2 + h + 22/5*a.
(a + 1)*(a + 21)/5
Let p(k) be the first derivative of -3*k**4/20 + 24*k**3/5 + 162*k**2/5 + 336*k/5 - 2951. Factor p(l).
-3*(l - 28)*(l + 2)**2/5
Suppose -33 = -71*r + 180. Let t(v) be the first derivative of 3/5*v**5 - 5*v**3 - 1/2*v**6 + 23 + 0*v + 9/4*v**4 + r*v**2. Find c, given that t(c) = 0.
-2, 0, 1
Let n be 16/4*1*4/8. Suppose -20 = -n*u - y + 14, -y - 30 = -2*u. Factor 2*d**2 - u*d + 9*d**2 + 3*d**3 + d**2 + d**3.
4*d*(d - 1)*(d + 4)
Let a(m) be the second derivative of -7*m**6/50 + 279*m**5/100 + m**4/10 - 186*m**3/5 + 156*m**2/5 + 564*m - 1. Determine q so that a(q) = 0.
-2, 2/7, 2, 13
Suppose -7651 = 13*x - 6*x. Let n = x - -1093. Determine d so that -2/11*d**5 + n + 2/11*d**4 + 2/11*d**3 + 0*d - 2/11*d**2 = 0.
-1, 0, 1
Let j(t) = -4*t**2 + 405*t + 2671. Let v(y) = -y**2 + 102*y + 667. Let f(c) = 8*j(c) - 30*v(c). Factor f(x).
-2*(x - 97)*(x + 7)
Let l = -305087/35 - -8717. Let m(d) be the second derivative of 0 + 9*d - l*d**5 + 0*d**2 + 4/21*d**3 + 1/21*d**4 + 2/21*d**6. Factor m(k).
4*k*(k - 1)**2*(5*k + 2)/7
Let o(s) be the second derivative of -5/3*s**3 - 155*s + 0 + 5/2*s**2 + 5/12*s**4. Factor o(n).
5*(n - 1)**2
Solve -8*r**2 + 16*r - 12*r**4 - 6*r**2 + 60*r**3 + r**5 - 18*r**2 + 4*r**4 - 36*r**3 = 0 for r.
0, 2
Factor -2/3*b**2 - 6962/3 + 236/3*b.
-2*(b - 59)**2/3
Let h = -25 - -28. Suppose -h*i = -2*i - 2. What is n in -12*n**5 - 21*n - 3*n**2 + 15*n**4 - n**2 - 17*n**i - 2 + 8 + 33*n**3 = 0?
-1, 1/4, 1, 2
Let c(z) be the third derivative of z**6/60 + z**5/2 - 8*z**4 + 80*z**3/3 - 1222*z**2. Factor c(o).
2*(o - 4)*(o - 1)*(o + 20)
Let t(i) be the first derivative of i**5/50 - 23*i**4/60 + 14*i**3/15 - 9*i**2 + 52. Let h(p) be the second derivative of t(p). Find v, given that h(v) = 0.
2/3, 7
Let g be (-10 - 34916/(-2520)) + (-6)/20*1. Let a be -1 + (124/9)/4. Factor g*x + 2/9*x**4 - 128/9 + 8*x**2 + a*x**3.
2*(x - 1)*(x + 4)**3/9
Let y be (363/(-6))/(-11) + (2 - 1) + -4. Let s(v) be the second derivative of -v**4 - y*v**3 + 4*v - 3/20*v**5 - 3*v**2 + 0. Factor s(i).
-3*(i + 1)**2*(i + 2)
Let g(r) be the first derivative of -23/10*r**2 + 0*r + 1/15*r**3 + 10. Factor g(w).
w*(w - 23)/5
Suppose -199*t - 15 = -202*t. Factor -t*j - j**5 + 22*j**4 + 5*j**5 - 12*j**2 - 3*j - 10*j**4 + 4*j**3.
4*j*(j - 1)*(j + 1)**2*(j + 2)
Let t(d) be the third derivative of d**5/60 + 53*d**4/24 - 9*d**3 - 1262*d**2. What is k in t(k) = 0?
-54, 1
Let j(q) = 7*q**2 - 5*q + 3. Let t(s) = 14*s**2 + 1653*s - 234. Let f(n) = 5*j(n) - 5*t(n). Factor f(h).
-5*(h + 237)*(7*h - 1)
Let a(o) be the third derivative of -o**8/420 + 32*o**6/75 - 69*o**2 + o + 2. Factor a(s).
-4*s**3*(s - 8)*(s + 8)/5
Let n = -426693 - -1280114/3. Factor -50/3 + n*x - 5/3*x**2.
-5*(x - 5)*(x - 2)/3
Let w(q) be the first derivative of q**4/16 - 97*q**3/6 - 991*q**2/8 - 199*q + 3016. Let w(y) = 0. What is y?
-4, -1, 199
Let c(v) be the first derivative of 3*v**4 - 16/3*v**3 + 0*v - 60 + 0*v**2 + 4/5*v**5. Factor c(l).
4*l**2*(l - 1)*(l + 4)
Factor 36*w**3 + 294*w**2 + 290 - 17*w**3 + 582*w - 11*w**3 - 6*w**3.
2*(w + 1)**2*(w + 145)
Let a(i) be the first derivative of 5*i**4/4 - 130*i**3/3 - 755*i**2/2 - 620*i + 203. Factor a(u).
5*(u - 31)*(u + 1)*(u + 4)
Let o = 6594 - 6591. Let b(t) be the second derivative of 2/3*t**o - 1/2*t**2 + 0 - 7/80*t**5 + 15*t - 5/48*t**4. Solve b(k) = 0 for k.
-2, 2/7, 1
Let m(p) be the third derivative of p**5/12 - 55*p**4/3 + 430*p**3/3 - 6*p**2 + 31*p. Factor m(g).
5*(g - 86)*(g - 2)
Find g such that -55672/3*g**3 - 4/3*g**5 - 159620/3*g + 932/3*g**4 + 52900/3 + 161464/3*g**2 = 0.
1, 115
Let v(a) be the second derivative of a**7/126 - a**6/9 - 7*a**5/60 + 49*a**4/9 - 315*a + 1. Factor v(b).
b**2*(b - 7)**2*(b + 4)/3
Let k = -2142/211 - -59816/4853. Find g such that -336/23*g - 288/23 - 2/23*g**3 - k*g**2 = 0.
-12, -1
Let x = 117 + -764. Let l = -647 - x. Determine o, given that l*o + 1/2*o**3 + 0 + 3/2*o**2 = 0.
-3, 0
Let q(u) be the second derivative of u**4/138 - 7*u**3/69 + 6*u**2/23 + 4070*u. Factor q(x).
2*(x - 6)*(x - 1)/23
Let b(n) = -22*n**2 + 61*n - 21. Let o(c) = 42*c**2 - 123*c + 42. Let d(w) = 13*b(w) + 6*o(w). Factor d(g).
-(g - 1)*(34*g