j**5 - 9*j**2. Factor g(d).
-3*(d - 3)*(d - 1)/2
Suppose 2*o - 20 = -4*v, -o + 2*v = 2 - 8. Factor 4*g**3 + 2*g**2 - o*g + 8*g**2 - 6*g**2.
4*g*(g - 1)*(g + 2)
Suppose -33*n + 16 = -6320. Factor -z**2 - 672 - 3682 - 5802 + 940 - n*z.
-(z + 96)**2
Let a(p) be the first derivative of -176*p - p**4 - 28/3*p**3 + 98 + 80*p**2. Suppose a(w) = 0. What is w?
-11, 2
Suppose -786*l + 785*l = -4*i + 34, -4*l + 3*i - 19 = 0. Let m(b) be the first derivative of 0*b - 5/3*b**l - 5/9*b**3 + 19. Let m(c) = 0. What is c?
-2, 0
Solve 13*s**2 - 134*s**3 + 104*s**3 - 73*s**2 + 365*s**2 + 2200*s - 223 - 152 = 0 for s.
-5, 1/6, 15
Let g(q) be the third derivative of -q**6/360 + q**5/36 + 11*q**4/9 + 104*q**3/9 + q**2 - 60*q. Determine b, given that g(b) = 0.
-4, 13
Let i be ((-224)/392)/((-2)/14). Factor -4*x**3 - 61300*x + 61300*x + 4*x**i.
4*x**3*(x - 1)
Suppose 35 - 21 = 4*d - l, 0 = 2*d - 2*l - 16. Let g(n) be the first derivative of 9/2*n**d + 1 - 3/4*n**4 + 0*n**3 + 6*n. Factor g(j).
-3*(j - 2)*(j + 1)**2
Suppose 1622/5*y**2 - 1612/5*y - 14/5*y**4 - 332/5*y**3 + 336/5 = 0. What is y?
-28, 2/7, 1, 3
Let f(j) = 7*j**2 + 2*j - 129. Let h(z) = -6*z**2 - 2*z + 132. Let r(m) = -4*f(m) - 5*h(m). What is q in r(q) = 0?
-9, 8
Factor 15 + 33/2*b + 3/2*b**2.
3*(b + 1)*(b + 10)/2
Let k(j) = -6*j**4 + 30*j**3 - 259*j**2 - 1007*j - 722. Let g(m) = -m**4 - m**3 - 2*m**2. Let a(b) = -15*g(b) + 3*k(b). Solve a(l) = 0 for l.
-2, -1, 19
Let w(x) be the third derivative of -7/5*x**3 + 9*x**2 + 3/50*x**6 - 4*x + 1/525*x**7 - 2/5*x**5 + 31/30*x**4 + 0. Solve w(h) = 0.
-21, 1
Solve 4293/7*g**2 + 3/7*g**3 - 1537968/7 + 219096*g = 0.
-716, 1
Let b be (-54)/7 - (-12)/(-42). Let d(n) = -n**3 - 10*n**2 - 15*n + 10. Let j be d(b). Factor 4*x - 3*x**j + 0*x**2 - 4*x + x + 2.
-(x - 1)*(3*x + 2)
Let a(i) = -42*i - 312. Let d be a(-6). Let k be 5/150 - (308/d + 5). Factor -21/2*w**2 - k*w**4 + 49/6*w + 0 + 5/2*w**3.
-w*(w - 7)**2*(w - 1)/6
Let j = 23161 - 23159. What is w in -78/5*w + 9/5 + 169/5*w**j = 0?
3/13
Suppose -184*g - 21 = -638 - 303. What is i in 4/3 + 10/3*i - 2/3*i**g + 4/3*i**2 - 8/3*i**3 - 8/3*i**4 = 0?
-2, -1, 1
Let a(n) = 15*n**4 + 282*n**3 - 59*n**2 + 4*n + 2. Let f(p) = -150*p**4 - 2820*p**3 + 591*p**2 - 42*p - 21. Let l(i) = -21*a(i) - 2*f(i). Factor l(y).
-3*y**2*(y + 19)*(5*y - 1)
Let k(u) be the first derivative of u**5/5 - u**4 - 382*u**3/3 + 1586*u**2 + 3549*u + 2009. Factor k(m).
(m - 13)**2*(m + 1)*(m + 21)
Factor -130/3 - 1/6*d**2 + 11/2*d.
-(d - 20)*(d - 13)/6
Let f(v) be the second derivative of 1/5*v**5 + 1/315*v**7 + 0 - 3/5*v**2 + 11/15*v**3 - 1/25*v**6 - 23/45*v**4 - 65*v. Suppose f(z) = 0. What is z?
1, 3
Let o(c) = 2*c**2 + 5. Let y(x) = -17*x**2 + 8550*x - 3655155. Let s(v) = -6*o(v) - y(v). Find z, given that s(z) = 0.
855
Let s be 3/6*(146 - 6)/14. Let u(j) be the third derivative of 1/15*j**s + 0*j**3 + 0 + 0*j + 13*j**2 + 1/60*j**6 + 1/12*j**4. Find w such that u(w) = 0.
-1, 0
Let t(h) be the third derivative of -9*h**7/560 - h**6/32 + 5*h**5/32 + 5*h**4/32 - h**3 + 794*h**2. Determine z so that t(z) = 0.
-2, -1, 8/9, 1
Suppose -7*u**3 - 3839445 - 13*u + 8*u**2 + u**4 + 3839449 + 7*u**2 = 0. What is u?
1, 4
Let g(p) be the second derivative of 0 + 6*p**2 - 244*p + 29/4*p**4 - 27/20*p**5 - 12*p**3. Find f such that g(f) = 0.
2/9, 1, 2
Let g be (-4897)/(-3652) + ((-6)/(-9))/(8/(-3)). Factor -2/11*l**3 - 26/11*l - 16/11*l**2 - g.
-2*(l + 1)**2*(l + 6)/11
Let r(h) be the third derivative of h**8/336 - h**7/21 + 25*h**5/6 - 625*h**4/24 - 2043*h**2. Determine t, given that r(t) = 0.
-5, 0, 5
Let r(t) be the first derivative of -t**6/120 + t**5/15 - 5*t**4/24 + t**3/3 + 69*t**2 + 19. Let d(g) be the second derivative of r(g). Factor d(y).
-(y - 2)*(y - 1)**2
What is z in 2/7*z**3 + 440/7 - 432/7*z + 102/7*z**2 = 0?
-55, 2
Let j be -6*(777/(-6))/7. Suppose 2*x**3 - 3*x**5 - 8*x + j + 8*x**4 - 4*x**2 + 5*x**5 - 16*x**2 - 95 = 0. What is x?
-2, 1
Find o such that 1333*o - 970*o + 732 - 2*o**2 - 1093*o = 0.
-366, 1
Let b(l) be the second derivative of l**6/75 + 44*l**5/25 - l**4/30 - 88*l**3/15 - 316*l. Factor b(a).
2*a*(a - 1)*(a + 1)*(a + 88)/5
Solve 2226*q - 1553*q**2 - 123*q**3 + 1118*q**2 + 5*q**4 + 204*q - 277*q**3 = 0.
-3, 0, 2, 81
Let d be 260/91*28/10 + -1 + -5. Let x(b) be the second derivative of -1/15*b**5 + 0*b**3 + 1/6*b**4 - d*b - 1/45*b**6 + 0 + 0*b**2. Factor x(f).
-2*f**2*(f - 1)*(f + 3)/3
Let s(d) = d**3 - d**2 - 4*d + 8976. Let i be s(0). Factor -i*y + 24*y**3 - y**4 + 4084*y**2 + 143*y**3 + 97*y**3 + 4441 + 183 + 5*y**4.
4*(y - 1)**2*(y + 34)**2
Let f(q) = 26*q**2 + 35*q + 9229. Let k(g) = -5*g**2 - 20*g - 1846. Let l(x) = -2*f(x) - 11*k(x). Factor l(a).
3*(a + 22)*(a + 28)
Let i(m) = 14*m**3 - 36*m**2 + 6*m. Let x(z) = 12*z**3 - 35*z**2 + 5*z. Let p = -182 + 187. Let f(y) = p*i(y) - 6*x(y). Let f(h) = 0. What is h?
0, 15
Let v(j) = -2*j**2 + j. Let x(f) = 21*f**2 - 881*f - 189225. Let s(d) = 11*v(d) + x(d). Factor s(a).
-(a + 435)**2
Let m(s) = -2*s**4 + s**2 - s. Let g(x) = 8*x**4 - 68*x**3 + 789*x**2 - 3885*x + 6912. Let r(k) = g(k) + 3*m(k). Factor r(d).
2*(d - 16)*(d - 6)**3
Let k(s) be the third derivative of s**6/40 + 41*s**5/10 + 161*s**4/8 + 40*s**3 + 1144*s**2. Factor k(t).
3*(t + 1)**2*(t + 80)
Let j(u) be the third derivative of u**5/6 + 161*u**4/6 - 65*u**3 - 1559*u**2. Determine z, given that j(z) = 0.
-65, 3/5
Let c(v) = 99*v**2 - 15541*v - 311. Let h be c(157). Factor -2*u**h - 15/4*u**2 + 2*u - 1/4*u**4 + 4.
-(u - 1)*(u + 1)*(u + 4)**2/4
Let q be -11 + (4 - -13) + (-2 - 2). Factor -7*o + 2*o**2 - o**q - 4*o - 3*o**2 + 18 + 3*o**2.
(o - 9)*(o - 2)
Let g(z) = 6*z - 13. Let w be g(2). Let a be (-2 + w + 8/3)*-18. Factor 2/3 + 4*i + a*i**4 + 28/3*i**2 + 4/3*i**5 + 32/3*i**3.
2*(i + 1)**4*(2*i + 1)/3
Suppose 4*o + 5*b - 428 = 0, 120 = 2*o - o - 2*b. Solve -94*d**3 + 108*d**3 + 33*d**2 + 31 + 33 - o*d + d**4 = 0 for d.
-8, 1
Let z = 82 + -28. Let o = -50 + z. Solve -140*u**2 + 71*u**2 - 2*u**o + u**3 + 69*u**2 = 0 for u.
0, 1/2
Factor 22/3*a**2 - 28 + 142/3*a.
2*(a + 7)*(11*a - 6)/3
Let r = -804 + 804. Let u(v) be the third derivative of 0*v**3 - 1/1140*v**6 + 0*v - 1/570*v**5 + r + 0*v**4 - 24*v**2. Factor u(q).
-2*q**2*(q + 1)/19
Let x be ((-4652)/(-209340))/(-3 + (-114)/(-27) + -1). Determine p so that -2/5 - 1/2*p - x*p**2 = 0.
-4, -1
Suppose 10*s + 3*q + 21 = 15*s, 0 = -5*s + q + 17. Factor 0*a**s + 6*a**2 - 1424*a + 1426*a - 3*a**3 - 6 + a**3.
-2*(a - 3)*(a - 1)*(a + 1)
Let d(c) = c**2. Suppose 4*y = -3*m + 2, 2*y - 5*m - 18 = -2*y. Let n(r) = -224*r**y - 3 + 18 - 20*r + 239*r**2. Let z(k) = -10*d(k) + n(k). Factor z(f).
5*(f - 3)*(f - 1)
Let g(w) be the third derivative of -1/180*w**6 + 7/72*w**4 - 2*w**2 - 2/3*w**3 + 0 + 7/180*w**5 - 32*w. Factor g(c).
-(c - 4)*(c - 1)*(2*c + 3)/3
Solve 2954*x**3 + 186293850*x + 3*x**4 + 22588885 + 1106626*x**2 + 301154*x**2 + 162300740 + 604*x**3 = 0.
-395, -1
Let l(m) be the second derivative of m**6/150 - 3*m**5/25 - m**4/60 + 2*m**3/5 - 1841*m. Factor l(f).
f*(f - 12)*(f - 1)*(f + 1)/5
Let n(k) be the second derivative of -3/20*k**5 + 3 + 1/2*k**3 - 1/10*k**6 - 14*k + 1/4*k**4 + 0*k**2. What is d in n(d) = 0?
-1, 0, 1
Let p be (-75)/(-20)*(1 + -5). Let h be (5*(-10)/p)/((-4)/(-6)). Find m such that -10 + 10*m**2 - 11*m**4 + h*m**3 + 6*m**4 + 10 = 0.
-1, 0, 2
Let c(t) be the first derivative of -21/4*t**2 + 61 + 13/2*t**3 + 0*t - 3/10*t**5 - 15/8*t**4. Factor c(g).
-3*g*(g - 1)**2*(g + 7)/2
Let k(a) be the third derivative of -15*a**8/448 + a**7/28 - a**6/96 + 963*a**2. Factor k(c).
-5*c**3*(3*c - 1)**2/4
Let q(z) = -2*z**3 + 71*z**2 - 178*z - 260. Let n(t) = 15*t**3 - 500*t**2 + 1245*t + 1820. Let d(x) = 3*n(x) + 20*q(x). Factor d(w).
5*(w - 13)*(w - 4)*(w + 1)
Let a = -5591046/943 - -5929. Let s = 932/10373 + a. Factor 3/11*v**2 - 3/11 + s*v - 1/11*v**3.
-(v - 3)*(v - 1)*(v + 1)/11
Let h(j) be the first derivative of j**3 - 39*j**2/2 + 36*j + 1955. Let h(a) = 0. Calculate a.
1, 12
Let q = 606 + -564. Let 312*w + 32 + 6*w**4 + 522*w**3 + 70*w**4 + 868*w**2 + q*w**4 - 37*w**4 = 0. Calculate w.
-4, -2, -2/9
Let p = -9171 + 9176. Let u(i) be the second derivative of -22*i**3 + 31/3*i**4 + 32/21*i**7 + 15*i + 18*i**2 + 17/5*i**p - 16/3*i**6 + 0. Solve u(m) = 0.
-1, 3/4, 1
Let u be (6