-4, -1/2, 0, 6
Let n(r) = -3*r**3 - 5*r**2 - 7*r - 6. Let a be n(-2). Find j, given that -8*j**2 + 2*j**5 - 12 + 11*j**4 + 26*j + 6*j**4 - a*j**3 - 14*j**4 + j**4 = 0.
-3, -2, 1
Let x(v) = v**2 - 76*v + 77. Let w be x(75). Let s(f) be the second derivative of 19*f - 1/30*f**6 - 2*f**3 - 3/10*f**5 - 13/12*f**4 + 0 - w*f**2. Factor s(g).
-(g + 1)**2*(g + 2)**2
Suppose -3555 - 1659 = -11*n. Factor -n + 65*w + 2*w**2 + 452 + w**2.
(w + 22)*(3*w - 1)
Suppose 12*j - 121 = -193. Let q be (j/20)/((-7)/70). Factor 0 + 1/2*g + 5/4*g**2 - 3*g**q.
-g*(3*g - 2)*(4*g + 1)/4
Let j be 2*(-6)/(-14) - 37774/(-12019). Let h be 3/(3/2) - 0. Find d such that -1/4*d**j + 0 - 5/4*d**h - 1/2*d - d**3 = 0.
-2, -1, 0
Factor -515/9 - 109/9*v**2 - 1/9*v**3 - 623/9*v.
-(v + 1)*(v + 5)*(v + 103)/9
Suppose 0 = 19*i - 33*i. Let h(a) be the first derivative of i*a**4 - 14 + 0*a + 0*a**2 - 2/15*a**5 + 2/9*a**3. Factor h(s).
-2*s**2*(s - 1)*(s + 1)/3
Factor 10/17*a**2 - 24/17*a + 2/17*a**3 - 72/17.
2*(a - 3)*(a + 2)*(a + 6)/17
Let a(y) be the first derivative of -5*y**6/6 + 5*y**5 + 10*y**4 - 20*y**3 - 2506. Suppose a(n) = 0. Calculate n.
-2, 0, 1, 6
Let u(o) = o**2 - o + 2. Let j(l) = 4*l**2 - 34*l - 14. Let m be (-10)/(-14) + ((-26)/7 - -4). Let n(h) = m*j(h) + 10*u(h). Factor n(s).
2*(s - 3)*(7*s - 1)
Let i(c) be the third derivative of -c**7/1470 + 67*c**6/840 + 93*c**5/140 + 353*c**4/168 + 71*c**3/21 + 5*c**2 + 58. Factor i(h).
-(h - 71)*(h + 1)**2*(h + 2)/7
Let o(t) be the second derivative of -4*t**6/35 - 33*t**5/14 + 9*t**4/7 + 55*t**3/7 - 6*t**2 - 20*t + 2. Let o(j) = 0. Calculate j.
-14, -1, 1/4, 1
Let d(q) = -48*q + 682. Let o be d(14). Let r(w) be the third derivative of 1/240*w**5 + 0 + 1/48*w**4 + 0*w**3 - 1/480*w**6 + 0*w + o*w**2. Factor r(v).
-v*(v - 2)*(v + 1)/4
Let u(q) = 9*q**2 + 183*q + 1. Let y be u(5). Let g = y - 1137. Suppose -g*h**2 - 32/3 + 56/3*h = 0. What is h?
2/3, 4
Let y be ((-369)/(-15))/3 - 1. Let c = 26753 - 26750. Factor -y*a + 12/5*a**2 + 4/5*a**c + 4.
4*(a - 1)**2*(a + 5)/5
Let l(x) = 2420*x**3 + 51639*x**2 + 281898*x + 67280. Let s(c) = -7260*c**3 - 154916*c**2 - 845697*c - 201840. Let a(w) = -19*l(w) - 6*s(w). Factor a(r).
-5*(4*r + 1)*(11*r + 116)**2
Let a(o) = o**3 - 5*o**2 - 28*o + 11. Let l be a(6). Let r be 12/66 - 462/l. Find j, given that 4*j**2 - 10/3*j**3 + 2/3*j**r - 16/3 + 8/3*j = 0.
-1, 2
Suppose 124 = -9*x + 880. Let i be (-12)/(0 - -2)*28/x. Let t(q) = -4*q**2 - 21*q - 39. Let r(b) = 4*b**2 + 22*b + 38. Let o(j) = i*t(j) - 3*r(j). Factor o(w).
-4*(w + 3)**2
Suppose 25*s = -226 + 301. Let f(t) be the first derivative of -1/5*t**4 - 8/5*t**2 + 11 + 8/5*t + 14/25*t**5 - 14/5*t**s. What is q in f(q) = 0?
-1, 2/7, 2
Suppose 2025*n - 4188*n**3 - 435 - 909 - 627*n**4 - 27*n**5 - 2637*n - 1733*n - 5815*n - 10404*n**2 = 0. Calculate n.
-14, -4, -1, -2/9
Suppose 60 = 2*v + o + o, -150 = -5*v + 5*o. Let g be 10/v*-6 + 4. Find t such that -1/2*t - 1/4*t**g - 1/4 = 0.
-1
Let p = -10111/15 + 3371/5. Let u(b) be the first derivative of 25 + 0*b**2 + 8/5*b - p*b**3. Factor u(v).
-2*(v - 2)*(v + 2)/5
Let d = -39 - -42. Suppose -4*x - d*j = -33, -2*x + 4*j = 2*x - 12. Solve 10*h**2 - 20*h**3 + x + 14*h + 9*h**3 + 13*h**3 = 0.
-3, -1
Let w(q) be the third derivative of -q**8/70560 - q**7/3528 - q**6/630 + 133*q**5/60 + 295*q**2. Let m(k) be the third derivative of w(k). Factor m(j).
-2*(j + 1)*(j + 4)/7
Let h be ((-10)/35)/((-1)/7). Find o, given that 570 - 251 - 8*o**h - 271 - 92*o = 0.
-12, 1/2
Let g be (-2)/12*(-35)/70. Let p(v) be the first derivative of 23 - 1/3*v**3 + 0*v - g*v**4 + 0*v**2. Let p(s) = 0. Calculate s.
-3, 0
Let o be (-20)/8 - -2 - 10/(-4). Let 1486*h**2 + h**3 - 1486*h**o - 4*h**3 = 0. What is h?
0
Let f(i) = 19*i**3 - 8145*i**2 - 9882*i - 1798. Let q(n) = -n**3 + 2*n**2 - 6*n - 1. Let w(y) = -f(y) - 10*q(y). Let w(a) = 0. Calculate a.
-1, -2/9, 904
Let n be 15/8 + (360/192)/15. Suppose 27/4*k**n + 0 + 15/2*k - 3/4*k**3 = 0. Calculate k.
-1, 0, 10
Let a(t) be the second derivative of t - 2/7*t**4 + 6/7*t**2 - 2/147*t**7 - 59 - 2/21*t**3 + 2/35*t**5 + 2/35*t**6. Let a(v) = 0. What is v?
-1, 1, 3
Let i(y) be the second derivative of -7/3*y**3 - 26*y + 2/3*y**4 - 11*y**2 + 0. What is j in i(j) = 0?
-1, 11/4
Let x(q) = q**2 - 9624*q - 105985. Let a be x(-11). Factor a*s - 1/4*s**3 + 0 + 21/2*s**2.
-s**2*(s - 42)/4
Let k(g) be the third derivative of -g**9/15120 - g**8/1260 + g**7/420 + g**6/10 - 53*g**5/60 + 70*g**2. Let i(o) be the third derivative of k(o). Factor i(w).
-4*(w - 2)*(w + 3)**2
Let s = -235 + 253. Suppose -2*u = -4*x + 18 - 34, -4*x = -3*u + s. Factor 0*c + 0 + 8*c**3 + 21/2*c**4 + 9/2*c**5 + u*c**2.
c**2*(c + 1)*(3*c + 2)**2/2
Factor -39*x**4 + 883*x**2 + 960 - 80*x**3 - 165*x**2 + 414*x**2 + 35*x**4 - 2008*x.
-4*(x - 8)*(x - 1)**2*(x + 30)
Suppose -4*v - 16 = 3*r, 3*r - 12 = 5*v - 2*v. Let i be (285/(-12))/19 - v/2. Factor -15/4*a**2 + 0 + 3/2*a - 3/4*a**5 + i*a**4 + 9/4*a**3.
-3*a*(a - 1)**3*(a + 2)/4
Let g(d) be the first derivative of 2*d**3/27 + 29*d**2/9 + 200*d/9 + 1785. Factor g(x).
2*(x + 4)*(x + 25)/9
Let n(r) be the second derivative of r**4/16 - 41*r**3/4 - 249*r**2/8 - 2007*r. What is x in n(x) = 0?
-1, 83
Let o = -40 - -68. Determine h so that -24*h**2 - 23 + 67*h**2 + 12 + 13 - o*h**3 - 17*h = 0.
1/4, 2/7, 1
Let p(x) be the first derivative of x**5/55 + 9*x**4/44 + 6*x**3/11 - 16*x**2/11 - 96*x/11 - 1498. Factor p(i).
(i - 2)*(i + 3)*(i + 4)**2/11
Suppose -33 = 68*q - 79*q. Factor 2*x**2 - q*x**3 + 2*x**3 - 5*x**3 + 4*x**3.
-2*x**2*(x - 1)
Let s(g) be the third derivative of -g**8/336 + 17*g**7/210 - 103*g**6/120 + 89*g**5/20 - 21*g**4/2 - 40*g**2 + 4. Determine y so that s(y) = 0.
0, 3, 4, 7
Let l = -38653/594 + 716/11. Let r(v) be the third derivative of -1/540*v**5 - 3*v**2 + 0*v**4 + l*v**3 + 0 + 0*v. Let r(x) = 0. Calculate x.
-1, 1
Let q(z) be the first derivative of z**6/18 + 89*z**5/15 - 31*z**4/4 - 265*z**3/9 + 224*z**2/3 - 60*z - 3191. Let q(j) = 0. What is j?
-90, -2, 1
Factor -312*j**3 + 21*j**4 - 6948*j**2 - 26012 + 13437*j - 20644 - 47133*j - 25*j**4.
-4*(j + 3)**2*(j + 36)**2
Let w(u) be the first derivative of -32*u + 4/3*u**3 + 14*u**2 + 82. Factor w(g).
4*(g - 1)*(g + 8)
Let k(m) = 40*m - 57. Let o be k(6). Factor -d**4 + o*d**3 + 0*d**4 - 89*d**3 - 5*d**2 - 100*d**3.
-d**2*(d + 1)*(d + 5)
Let i(q) be the first derivative of q**3 + 108*q**2 + 420*q + 3897. Factor i(o).
3*(o + 2)*(o + 70)
Let k(h) = 5*h**2 + 1078*h - 58320. Let b(d) = -15*d**2 - 2155*d + 116640. Let j(f) = 2*b(f) + 5*k(f). Factor j(m).
-5*(m - 108)**2
Suppose -181*w = -29*w. Let f(n) be the third derivative of 0*n**5 - 1/360*n**6 + 0 + 0*n + w*n**3 + 1/72*n**4 - n**2. Determine m so that f(m) = 0.
-1, 0, 1
Let f = 51551/6 + -8591. Let p(y) be the third derivative of 0 + 0*y - 1/300*y**5 - f*y**3 - 1/12*y**4 - 18*y**2. Factor p(t).
-(t + 5)**2/5
Suppose 0 = -56*q + 53*q - 15. Let g be 5/(-1) - (q + 6/(-9)). Factor 2/3*n**3 + 2*n**2 - g*n - 2.
2*(n - 1)*(n + 1)*(n + 3)/3
Find l such that 34/3*l + 2/3*l**2 - 260 = 0.
-30, 13
Let w(s) be the third derivative of s**5/15 + 274*s**4/3 + 150152*s**3/3 + 981*s**2. Factor w(u).
4*(u + 274)**2
Let s(o) = 14*o**2 - 142*o + 525. Let t(d) = 17*d**2 - 146*d + 525. Let v(l) = -4*s(l) + 3*t(l). Factor v(r).
-5*(r - 21)*(r - 5)
Suppose -5*o + 2*v + 20 = -36, 32 = 2*o - 4*v. Suppose -4*f = -5*b + 20, -o = -4*b + 15*f - 13*f. Factor 0 - 4/5*k**3 + 0*k + b*k**2 - 2/5*k**4.
-2*k**3*(k + 2)/5
Let w = 4594 + -22969/5. Let u(g) be the first derivative of -8/5*g + 0*g**3 - 13 - w*g**4 + 6/5*g**2. Determine o, given that u(o) = 0.
-2, 1
Let n(y) be the first derivative of 7*y**4/2 - 5984*y**3 - 6417*y**2 + 5132*y + 6447. Factor n(f).
2*(f - 1283)*(f + 1)*(7*f - 2)
Let u be (43 - 22 - -3) + -17. Let q(s) be the third derivative of 0*s**4 + 1/60*s**6 + 0*s**3 + 0*s + 0*s**5 + 0 + 1/21*s**u - 29*s**2. Factor q(z).
2*z**3*(5*z + 1)
Suppose -2*z - 6 - 2 = 0. Let w be (40/(-12) - z)/((-5)/(-15)). Factor 2/7*l**w - 4/7*l - 16/7.
2*(l - 4)*(l + 2)/7
Let a(d) be the third derivative of 2*d**7/735 - 13*d**5/35 + 5*d**4/3 - 997*d**2 - 2*d. Factor a(p).
4*p*(p - 5)*(p - 2)*(p + 7)/7
Suppose -456*y**2 - 196*y**2 + 40*y**3 + 5*y**4 - 21873*y + 6663*y - 1001*y**2 + 158*y**2 = 0. What is y?
-13, 0, 