 be the second derivative of 3/40*s**5 + 0*s**2 - 1/12*s**6 + 1/84*s**7 - s - 1/3*s**3 + 118 + 5/24*s**4. Factor t(x).
x*(x - 4)*(x - 1)**2*(x + 1)/2
What is d in 410/9*d**3 - 1208/9*d**2 + 0 - 14/9*d**4 + 104/3*d = 0?
0, 2/7, 3, 26
Suppose -56*g**3 - 495*g**2 + 69*g**3 + 224*g**3 + 5*g**4 + 3*g**5 + 300*g - 37*g**4 - 13*g**4 = 0. Calculate g.
0, 1, 4, 5
Let f(d) = -13*d**2 + 196*d - 70. Let b(v) = v**2 - v - 3. Let n be b(-2). Let p(z) = -6*z**2 + 99*z - 36. Let t(y) = n*f(y) - 5*p(y). Factor t(r).
-3*(r - 10)*(3*r - 1)
Let l be 3425/465 - 2 - 6. Let d = 1/31 - l. Solve d*s**4 - 2/9*s**5 + 2/9*s**2 + 0*s + 0 - 2/3*s**3 = 0 for s.
0, 1
Determine q, given that -42*q + 3623*q**2 - 36*q - 4*q - 1812*q**2 - 1809*q**2 = 0.
0, 41
Let c(s) = 2*s**2 + 2*s + 1. Let x(v) = -7*v**2 - 508*v - 2. Let t(r) = 2*c(r) + x(r). Suppose t(d) = 0. Calculate d.
-168, 0
Let k(j) be the first derivative of 2/15*j**5 - 2/3*j**3 + 164 + 2/3*j**4 + 16/3*j - 10/3*j**2. Let k(a) = 0. What is a?
-4, -2, 1
Let n be 94/18 + 4/(-18). Let h be 150/40 + (22/(-8) - -3). Let -2*l**3 + n*l**3 - 7*l**2 - 9 - h*l**3 - 15*l = 0. Calculate l.
-3, -1
Let f(n) = n**2 + 15*n + 46. Let h be f(-4). Solve -43*k + 16 + h*k**2 + 23*k + 2*k**2 = 0 for k.
1, 4
Let s(w) be the third derivative of w**6/540 + 2*w**5/27 + 31*w**4/36 + 14*w**3/3 + 5498*w**2. Factor s(q).
2*(q + 3)**2*(q + 14)/9
Let m(k) be the third derivative of -1/32*k**6 - 5*k + 0 + 7/80*k**5 - 11*k**2 + 1/4*k**4 - 1/2*k**3. Factor m(s).
-3*(s - 2)*(s + 1)*(5*s - 2)/4
Let b be ((-34)/595)/(8/(-336))*15/9. Determine t, given that 10/3*t**3 + 5/3 - 10/3*t + 0*t**2 - 5/3*t**b = 0.
-1, 1
Let i = -818927 - -818929. Factor -27/7*w + 0 + 3/7*w**i.
3*w*(w - 9)/7
Let x = 103663/3 + -34550. Determine t, given that x*t + 14/3 - 1/3*t**2 = 0.
-1, 14
Let k(n) = n**3 - n**2 + 3. Let h be k(0). Let u(d) be the second derivative of 2/15*d**h - d + 0*d**2 + 0 + 1/30*d**4. Determine p, given that u(p) = 0.
-2, 0
Let n(r) be the second derivative of r**5/4 + 75*r**4/4 - 160*r**3 + 490*r**2 - 1460*r. Factor n(h).
5*(h - 2)**2*(h + 49)
Let p(c) be the first derivative of -5*c**3/3 + 435*c**2 + 1760*c - 7261. Solve p(a) = 0.
-2, 176
Factor 120 + 4*z**3 + 5*z**3 + 746*z + 228193*z**2 - 228398*z**2 - 252*z.
(z - 20)*(z - 3)*(9*z + 2)
Let y(s) be the first derivative of s**5/5 - 15*s**4/4 + 24*s**3 - 70*s**2 + 96*s - 5284. Factor y(i).
(i - 8)*(i - 3)*(i - 2)**2
Let -17*q**2 - 53*q**2 - 12*q**2 + 116 + q - q**3 - 26 - 8 = 0. What is q?
-82, -1, 1
Let q(s) = -4*s**3 + 26*s**2 + 118*s - 106. Let i(j) = -j**3 + 6*j**2 + 29*j - 26. Let h(n) = 17*i(n) - 4*q(n). Find p such that h(p) = 0.
-6, 1, 3
Suppose -5*w + 9*w - 124 = 0. Solve 61 - w*m**4 + 29*m**4 - 59 - 4*m**3 + 4*m = 0.
-1, 1
Factor 85*h - 48*h**2 + 11/3*h**3 - 22/3.
(h - 11)*(h - 2)*(11*h - 1)/3
Let u(z) be the first derivative of -16*z**2 + 0*z + 2*z**4 + 4/5*z**5 - 150 - 16/3*z**3. Factor u(n).
4*n*(n - 2)*(n + 2)**2
Suppose -31 = 10*a - 51. Suppose 3*u + 4 - 15*u + 6*u**2 - 25 + 12*u**a - 3 + 3*u**3 - 3*u**4 = 0. Calculate u.
-2, -1, 2
Let y(v) be the third derivative of -v**7/70 + 43*v**6/10 - 2436*v**5/5 + 21866*v**4 + 195112*v**3 - 2846*v**2. Suppose y(u) = 0. Calculate u.
-2, 58
Let g(u) be the first derivative of 9/2*u**2 + 6/5*u**5 + 0*u - 4*u**3 - 3/4*u**4 + 77. Factor g(h).
3*h*(h - 1)**2*(2*h + 3)
Suppose -4*p - 4*s + 28 = 0, 2*s + 1 + 17 = 6*p. Suppose -3*u - 6 = 0, -6*a + p*u = -5*a - 10. Find v such that 2/3*v**a + 4/3*v + 0 = 0.
-2, 0
Let x(d) be the third derivative of 5*d**8/504 - 11*d**7/315 - 13*d**6/180 + 43*d**5/90 - 7*d**4/9 + 4*d**3/9 + 1516*d**2 - 2. Solve x(w) = 0.
-2, 1/5, 1, 2
Let h be (11990/13080)/((-22)/(-3)). Determine p so that h*p**2 - 1/4*p + 0 = 0.
0, 2
Find w, given that -12/7*w + 150/7*w**2 + 0 + 180/7*w**4 - 318/7*w**3 = 0.
0, 1/10, 2/3, 1
Let f be (-4942)/(-21)*(-6)/4. Let q = 355 + f. Factor 1/5*i + 0 - 1/5*i**q.
-i*(i - 1)/5
Let w(t) be the first derivative of t**5/20 - 33*t**4/16 - 53*t**3/6 - 9*t**2 - 3326. Factor w(k).
k*(k - 36)*(k + 1)*(k + 2)/4
Let t(o) = -o**2 + 1. Let k be t(-1). Let d be 2/(1*(k + 1)). Factor 53*f**2 + 93*f**d + 16 - 49*f**2 + 83*f**2 - 128*f + 324*f**3.
4*(f + 1)*(9*f - 2)**2
Let d(h) be the first derivative of 0*h + 71 - 1/8*h**4 + 1/12*h**3 + 1/20*h**5 + 0*h**2. Solve d(c) = 0.
0, 1
Let s be (-11691)/22 - (-24)/48. Let a = -528 - s. Find h, given that a*h + 2/11*h**3 + 0 - 16/11*h**2 = 0.
0, 4
Suppose 2*u + 4*h - 32 = 0, 76 = -5*u + 2*h + 84. Let o(p) be the first derivative of 1/12*p**u + 11 + 4*p + 8/3*p**2 + 7/9*p**3. Find k, given that o(k) = 0.
-3, -2
Let j(o) be the third derivative of o**7/420 + 11*o**6/240 + 3*o**5/40 - 119*o**4/48 + 49*o**3/6 - 137*o**2 - 34. Factor j(n).
(n - 2)*(n - 1)*(n + 7)**2/2
Let a(q) = 2*q**2 - q + 11. Let d(n) = 5*n**2 - 58*n + 1676. Let t(o) = -4*a(o) + d(o). Factor t(j).
-3*(j - 16)*(j + 34)
Let d(w) be the third derivative of -w**7/840 - 11*w**6/240 - 5*w**4/24 + 2*w**3/3 + 39*w**2. Let i(r) be the second derivative of d(r). Factor i(a).
-3*a*(a + 11)
Let b(d) = -38*d**2 + 1542*d + 599079. Let o(m) = -51*m**2 + 1540*m + 599080. Let j(u) = -4*b(u) + 3*o(u). Solve j(t) = 0.
-774
Let a(z) = -72*z**2 + 151*z - 32. Let l(k) = 38*k + 5*k**2 - 2*k**2 + 1 - 21*k**2 - 9. Let r(m) = 2*a(m) - 9*l(m). Solve r(d) = 0 for d.
2/9, 2
Let i(r) be the second derivative of r**5/60 + 53*r**4/36 - 83*r**3/9 + 56*r**2/3 + 10835*r. Find b such that i(b) = 0.
-56, 1, 2
Let t(p) be the third derivative of -p**5/270 - p**4/4 - 3730*p**2. Determine b so that t(b) = 0.
-27, 0
Suppose 98*o - 209*o = 0. Let b(r) be the second derivative of o*r**2 + 1/2*r**4 + 0*r**3 - 3/20*r**5 - 17*r + 0 - 1/10*r**6. Solve b(m) = 0 for m.
-2, 0, 1
Suppose 21 = -9*y + 39. Find g, given that 700*g + 5*g**y + 18670 - 3225 + 9055 = 0.
-70
Let g(a) = a**3 - 70*a**2 - 75*a + 309. Let p be g(71). What is n in -17/2 + 3/2*n**2 - p*n = 0?
-1/3, 17
Let v be 81/324*((-1)/(-1) - 7)/(-4). Let a(i) be the third derivative of -20*i**2 + v*i**4 + 1/40*i**6 + 0 + 0*i + 3/20*i**5 + 1/2*i**3. Factor a(j).
3*(j + 1)**3
Factor 7191/5*c + 3/5*c**3 - 15606/5 + 60*c**2.
3*(c - 2)*(c + 51)**2/5
Let s(y) be the third derivative of -y**7/630 + y**6/360 + 2*y**5/45 - y**4/6 - 557*y**2. Factor s(o).
-o*(o - 2)**2*(o + 3)/3
Let b(g) be the second derivative of g**5/110 - 23*g**4/22 + 39*g**3 - 297*g**2 - 63*g + 23. Factor b(v).
2*(v - 33)**2*(v - 3)/11
Find c, given that -11/2*c**2 - 41/4*c - 1/4*c**3 - 5 = 0.
-20, -1
Let s(d) be the first derivative of -d**6/30 + 102*d**5/25 - 123*d**4/5 + 682*d**3/15 - 291*d**2/10 - 998. Suppose s(u) = 0. Calculate u.
0, 1, 3, 97
Factor 206/13*q + 28 + 22/13*q**2.
2*(q + 7)*(11*q + 26)/13
Suppose 1/4*l**2 - 65/4 + 2*l = 0. What is l?
-13, 5
Let p be ((-2)/(-8))/(-7 + 8). Let l = 5770 + -5768. Solve 17/4*w**l - 9/2*w**4 - 27/8*w**5 + 3/2*w**3 + p + 15/8*w = 0.
-1, -2/3, -1/3, 1
Let n(r) = -39*r**2 + 6014*r - 11. Let a(u) = 7*u**2 - 1203*u + 2. Let f(o) = 22*a(o) + 4*n(o). Find k, given that f(k) = 0.
-1205, 0
Suppose 22*q + 8*q + 31740 = 0. Let s = -1056 - q. Suppose -8/17*y**s + 14/17*y + 4/17 = 0. What is y?
-1/4, 2
Let t = -11991670/9 + 1332409. Suppose -1/3 + t*y + 4/9*y**2 = 0. What is y?
-3, 1/4
Let i(h) = 15*h**2 - 1290*h - 134826. Let p(f) = -3*f**2 + 3*f - 1. Let r(l) = i(l) + 6*p(l). Factor r(g).
-3*(g + 212)**2
Factor -1/3*z**2 - 46/3*z - 43.
-(z + 3)*(z + 43)/3
Let p(b) be the first derivative of -b**4/14 - 82*b**3/21 - 296*b**2/7 - 512*b/7 + 2533. Suppose p(i) = 0. Calculate i.
-32, -8, -1
Let t be (-72)/(-396) - (-4)/(-98). Let d = 2/49 + t. Suppose -6/11*c**3 + 6/11*c + 8/11 + d*c**4 - 10/11*c**2 = 0. What is c?
-1, 1, 4
Let v(i) be the third derivative of 49*i - 2*i**2 + 0 - 1/10*i**4 + 7/15*i**3 - 1/150*i**5. Factor v(a).
-2*(a - 1)*(a + 7)/5
Let j(g) be the second derivative of g**4/78 - 5*g**3/39 - 42*g**2 - 4107*g. Suppose j(h) = 0. What is h?
-21, 26
Suppose -8 = 2*z + 2*r, 3*r + r + 20 = 0. Let a be 10/(140/63) - z. Solve 37/2*i + 21*i**3 - a*i**5 - 34*i**2 + i**4 - 3 = 0 for i.
-3, 2/7, 1
Let k(n) be the third derivative of -1/200*n**5 + 1/240*n**6 + 1/15*n**3 + 0 - 1/2100*n**7 - 1/48*n**4 - 3*n**2 - 12*n. Factor k(l).
-(l - 4)*(l - 1)**2*(l + 1)/10
Suppose -2*f + 9*r + 71 = 8*r, 0 = -4*f - r + 139. Let b