0, 1, 4
Determine o, given that -1362*o - 164*o**2 + 75*o**3 + 93*o**3 + 90000 + 87*o**3 - 38*o - 257*o**3 = 0.
-50, 18
Let c(k) = k**3 - 2*k**2 + 2*k + 2. Let y(j) = -12*j**3 + 40*j**2 - 18*j - 94. Let u(v) = 44*c(v) + 4*y(v). Factor u(g).
-4*(g - 18)*(g - 2)*(g + 2)
Let v = 14294 - 14294. Let i(q) be the first derivative of 1/5*q**5 + 16 + 0*q**2 - 1/4*q**4 + v*q - 2/3*q**3. Factor i(k).
k**2*(k - 2)*(k + 1)
What is a in 18 + 0*a**2 - 931*a + 1953*a + 21*a**3 + 3*a**4 + 51*a**2 - 971*a = 0?
-3, -2, -1
Let d = -1528 + 27505/18. Let v(l) be the first derivative of -16 + d*l**3 - 2/3*l + 1/3*l**2 - 1/24*l**4. Factor v(a).
-(a - 2)*(a - 1)*(a + 2)/6
Let b = 2529/4 - 1263/2. Factor 1/2*s + 1/4*s**2 - b.
(s - 1)*(s + 3)/4
Suppose 3 = -q + 3. Let y(r) = r**3 - 4*r**2 - 2*r + 4. Let a be y(q). Factor w + 3*w + a*w**2 - 8*w.
4*w*(w - 1)
Suppose 0*s + 2*s = g - 10, 5*s + 32 = 3*g. Factor 4*c**5 + 0 + 0 - 17*c**3 + 2*c**2 - 3*c**5 + g*c**3.
c**2*(c - 1)**2*(c + 2)
Let f = -2181 - -2182. Let y(p) be the first derivative of f + 0*p - 5/3*p**3 - 5/2*p**2. Find m such that y(m) = 0.
-1, 0
Let p(w) be the first derivative of 5/3*w**3 + 235*w + 120*w**2 + 117. Factor p(j).
5*(j + 1)*(j + 47)
Let s be (135/81)/((-1)/12). Let l be (-18 - (-1086)/60) + (-78)/s. Factor 0*w**3 + 1/2*w - 1/4*w**l + 0 + 3/4*w**2.
-w*(w - 2)*(w + 1)**2/4
Let k(j) = -47*j - 547*j**2 + 505*j**2 + 2*j**4 + 11 + 4*j**4. Let u(i) = -2*i**4 + 14*i**2 + 16*i - 4. Let s(y) = 4*k(y) + 11*u(y). Factor s(m).
2*m*(m - 3)*(m + 1)*(m + 2)
Suppose -94*u = -30*u. Let d(a) be the first derivative of 2/21*a**3 + u*a + 33 + 1/7*a**2. Determine x so that d(x) = 0.
-1, 0
Let x be (-447)/(-66) + 3/6. Determine z, given that -316/11*z**2 + 96/11*z**4 - x - 18/11*z**5 + 2*z**3 + 296/11*z = 0.
-2, 2/3, 1, 5
Let j be -1 + (-8)/(-4)*-2. Let i(t) = -50*t + 1. Let u be i(j). Let -251 - 4*m**2 + u = 0. What is m?
0
Let q(u) be the second derivative of u**5 - 2/3*u**4 + 6/7*u**7 + 0*u**2 + 32/15*u**6 + 0*u**3 + 44*u + 0. Factor q(g).
4*g**2*(g + 1)**2*(9*g - 2)
Let o(x) be the second derivative of -x**6/540 - 7*x**5/90 - 49*x**4/36 - 10*x**3 - 6*x + 2. Let t(i) be the second derivative of o(i). Factor t(b).
-2*(b + 7)**2/3
Let a be -2*(-2)/36 + (-323)/(-171). Let y be ((-7)/a*54/14)/(-12). Find s such that -15/8*s**2 + 27/8 - y*s - 3/8*s**3 = 0.
-3, 1
Let j(y) = 106*y + 100*y - 207*y. Let p(n) = -n**3 - n**2 - 6*n. Let l be ((-5)/(-4))/(2/48). Let q(o) = l*j(o) - 5*p(o). Factor q(c).
5*c**2*(c + 1)
Let x = 611783/244714 - -1/122357. Suppose -x*b**3 + 5/2*b**2 + 15/2 + 25/2*b = 0. What is b?
-1, 3
Suppose 349*u + 4 = 351*u. Determine j so that 4/3*j**5 + 4/3*j - 16/3 + 32/3*j**u - 8/3*j**3 - 16/3*j**4 = 0.
-1, 1, 4
Let f be 22/(-2)*(-10 - (0 + -8)). Factor 972*r + 3*r**4 + 0*r**2 + 21*r**2 - 3240 - 39*r**3 + 11*r**2 + f*r**2.
3*(r - 6)**3*(r + 5)
Let r(k) be the second derivative of k**4/30 + 3134*k**3/15 + 2455489*k**2/5 + 4647*k. Determine i, given that r(i) = 0.
-1567
Solve 19522*b**2 + 448 - 48*b + 12*b**3 + 4*b**4 - 9887*b**2 - 9763*b**2 = 0.
-7, -2, 2, 4
Let o be (2 - (-14)/5)*20/6. Solve 2*g**2 + 5*g + 0*g + 5*g - o*g + 8 - 4*g = 0.
1, 4
Let d(v) be the second derivative of -13*v**3/6 - 24*v**2 - 11*v + 8. Let w be d(-4). Suppose 4/9*u**w + 4/9 - 8/9*u**2 + 0*u + 0*u**3 = 0. What is u?
-1, 1
Let k = -308743/5 + 61749. Let -22/5*p**3 + 0 - 10*p - 14*p**2 - k*p**4 = 0. What is p?
-5, -1, 0
Suppose 7 - 3 = -g, -5*q + 134 = 4*g. Solve 19 + q*o - 10*o - 79 + 17*o**2 + 28*o**2 - 5*o**4 = 0.
-2, 1, 3
Suppose 3*p - 2*l = 38, -5*l = -2*p + 8 + 21. Suppose -4*o - 4*r = -p, -13*o + 4*r - 6 = -14*o. Factor 24*s + 32/3 + 27/2*s**o.
(9*s + 8)**2/6
Let g = 13075/52276 - 3/26138. Solve 0 + i + g*i**2 = 0 for i.
-4, 0
Factor 888/5 - 2656/15*u + 2/15*u**3 + 658/15*u**2.
2*(u - 2)**2*(u + 333)/15
Let g(o) be the second derivative of -3*o**5/140 + 11*o**4/2 - 152*o**3/7 + 234*o + 5. Factor g(r).
-3*r*(r - 152)*(r - 2)/7
Factor 10*f**3 - 1595 + 1595 + 36*f - 88*f**2 - 30*f**3 + 4*f**4 + 188*f.
4*f*(f - 7)*(f - 2)*(f + 4)
Let v be 8/48*12*((-186)/(-18) - -1). Let -v*i**2 - 6*i**4 + 2/3*i**5 - 10/3 + 14*i + 52/3*i**3 = 0. Calculate i.
1, 5
Let w(c) be the third derivative of -c**7/350 + 9*c**6/200 - 3*c**5/20 + 7*c**4/40 - 39*c**2. Find l, given that w(l) = 0.
0, 1, 7
Let n(s) = 2*s**3 + 6*s**2 + 2495*s + 10015. Let y be n(-4). What is u in 0*u**y - 6/5*u**2 - 3/5 + 1/5*u**4 - 8/5*u = 0?
-1, 3
Let k(u) be the first derivative of 18*u**2 - 153 - u**4 - 36*u + 4/3*u**3. Suppose k(l) = 0. Calculate l.
-3, 1, 3
Find n, given that 330*n**3 + 324*n**3 - 30*n**2 + n**4 + 10*n**2 + 314*n**3 - 949*n**3 = 0.
-20, 0, 1
Let y = 425815/4 + -106453. Factor 0*g + 0 + y*g**2 + g**3 + 1/4*g**4.
g**2*(g + 1)*(g + 3)/4
Let d(z) be the third derivative of 1/3*z**4 + 1/15*z**5 - 2*z**2 + 5 - 2*z**3 + 0*z. Factor d(u).
4*(u - 1)*(u + 3)
Let o(j) be the second derivative of 11*j - 1/600*j**5 + 0*j**2 - 2*j**3 - 1/1800*j**6 + 1/20*j**4 + 0. Let y(n) be the second derivative of o(n). Factor y(k).
-(k - 2)*(k + 3)/5
Let t(f) be the third derivative of f**5/60 + f**4/8 - 14*f**3/3 + 1401*f**2. Factor t(v).
(v - 4)*(v + 7)
What is l in -106*l**3 + 1215/4 + 1299/2*l**2 + 3/4*l**4 - 1116*l = 0?
1/3, 3, 135
Suppose -1047272/11*g + 471730/11*g**3 + 10/11*g**5 + 4352/11*g**4 - 389788/11*g**2 - 190096/11 = 0. What is g?
-218, -1, -1/5, 2
Let f(p) be the third derivative of 0*p - 6 + 5*p**4 + 24*p**2 + 24*p**3 + 1/10*p**6 - 29/20*p**5. Factor f(x).
3*(x - 4)**2*(4*x + 3)
Let k(m) be the third derivative of m**7/140 + 13*m**6/90 - 3*m**5/20 + 32*m**3/3 + 2*m**2 + 31*m. Let q(y) be the first derivative of k(y). Factor q(p).
2*p*(p + 9)*(3*p - 1)
Let k(z) be the first derivative of z**4/8 - 23*z**3/6 + 26*z**2 + 64*z + 1460. Suppose k(y) = 0. Calculate y.
-1, 8, 16
Let k(t) = -14*t**2 - 158*t + 990. Let p(o) = -40*o**2 - 475*o + 2981. Let q(l) = -17*k(l) + 6*p(l). Factor q(w).
-2*(w - 6)*(w + 88)
Let b = 921 + -915. Let f be 304/(-228) - (-20)/b. Find m, given that 0*m + 0*m**3 - 1/3*m**4 + 2/3*m**f - 1/3 = 0.
-1, 1
Let n(u) = 8*u**3 + 81*u**2 + 155*u - 95. Let x = -268 - -264. Let o(w) = -8*w**3 - 80*w**2 - 156*w + 96. Let g(p) = x*n(p) - 5*o(p). Solve g(a) = 0.
-5, 1/2
Let f(r) be the second derivative of 55*r + 1/12*r**3 + 1/4*r**4 + 0 + 0*r**2. Factor f(t).
t*(6*t + 1)/2
Let c(x) be the second derivative of 27/10*x**5 - 2 + 216*x**2 - 66*x + 105/4*x**4 + 116*x**3 + 1/10*x**6. What is b in c(b) = 0?
-9, -4, -1
Let k(w) = -w**2 - w + 6. Let v(g) = -g**2 + 5. Suppose -2*b = 11 - 19. Let n be b - 8/(5 - 1). Let s(r) = n*k(r) - 3*v(r). Factor s(a).
(a - 3)*(a + 1)
Let h = -95 - -107. Let b(m) be the first derivative of 33 + h*m**2 + 27*m - 28 + 30 - 3*m**3 + 27*m**2. Determine c, given that b(c) = 0.
-1/3, 9
Suppose 2*x - 4*v = -5 - 7, -16 = 5*x - 3*v. Let s be 2/((-4)/(-3))*x/(-5). Find p such that 3/5 - s*p**2 + 3/5*p**3 - 3/5*p = 0.
-1, 1
Let a(b) = 32*b**3 - 1581*b**2 + 391*b + 6. Let t(u) = 30*u**3 - 1575*u**2 + 390*u + 5. Let o(r) = 5*a(r) - 6*t(r). Let o(f) = 0. What is f?
0, 1/4, 77
Let i(c) be the second derivative of c**4/3 - 1174*c**3/3 + 2340*c**2 - 6793*c. Factor i(x).
4*(x - 585)*(x - 2)
Let 20/3*d**4 + 1/3*d**5 - 88/3*d - 17*d**3 - 158/3*d**2 + 0 = 0. Calculate d.
-22, -1, 0, 4
Factor 14*k + 8*k**3 - 14*k**2 + 3*k - 22*k**2 - 8*k**4 + 3 - 15*k**2 + 31*k**3.
-(k - 3)*(k - 1)**2*(8*k + 1)
Let h(l) be the first derivative of -3*l**5/10 + 6813*l**4/8 - 1719147*l**3/2 + 1301394279*l**2/4 - 7766. Determine n, given that h(n) = 0.
0, 757
Find l, given that 145*l + 416*l + 3*l**2 - 1684423 + 1683859 = 0.
-188, 1
Let o(d) be the third derivative of -7/40*d**4 + 1/350*d**7 - 4*d + 0 + 9/100*d**5 + 1/5*d**3 - 1/40*d**6 - 25*d**2. Solve o(n) = 0 for n.
1, 2
Factor 5*y**4 - 1121 - 2*y**4 + 12737 + y**4 + 363*y**3 + 8718*y**2 + 21824*y.
(y + 2)*(y + 44)**2*(4*y + 3)
Let j(k) be the third derivative of k**6/25 + 39*k**5/50 - 27*k**4/10 + 11*k**3/5 + 85*k**2 - 6*k. Find n such that j(n) = 0.
-11, 1/4, 1
Suppose 0 = -2*r + 3*k - 5, 9 = -3*r - 6*k + 11*k. Suppose r*w**2 - 3*w**3 + 30*w + 1124 - 4*w**2 - w**2 - 1148 = 0. Calculate w.
-4, 1, 2
Let u = 2553/8 - 3051/8. Let v = u - -1257/20. Factor -v - 2/5*y + 1/5*y**2.
(y - 3)*(y + 1)/5
Let z(s) be the third derivativ