 - 19*x**6/36 - 361*x**5/6 - x**4/24 + 4*x**3/3 - 7*x**2. Let m(w) be the second derivative of s(w). Factor m(i).
-5*(i + 38)**2
Let d = 10 - 6. Suppose 2*p - d - 2 = 0. Let 7*t + 3*t - 40*t - p*t**2 - 75 = 0. Calculate t.
-5
Let d = -30 + 32. Factor -1199*q**2 - 191*q**d + 121*q - 457*q - 178*q**2 - 18.
-2*(28*q + 3)**2
Let i(w) be the third derivative of 0*w**3 + 0*w**6 + 1/70*w**7 + 0*w + 14*w**2 - 3/5*w**5 + 0 + 2*w**4. Let i(q) = 0. What is q?
-4, 0, 2
Let q(y) = -11*y + 42. Let j(k) = 5*k - 21. Let v(c) = -9*j(c) - 4*q(c). Let d be v(18). Find s such that -4*s - 4*s + 4*s + s - 6 + d*s**2 = 0.
-1, 2
Let d(p) be the second derivative of -45*p**2 + 2 - 1/4*p**4 - 31/2*p**3 - 134*p. Solve d(b) = 0.
-30, -1
Solve -3412*m + 2522*m**4 + 3544*m - 288 - 2526*m**4 + 148*m**2 + 12*m**3 = 0 for m.
-3, 1, 8
Suppose 2*l = -5*m + 39, 2594*l - m = 2589*l + 3. Solve -q - 1/5 + 2/5*q**2 - q**5 - 1/5*q**4 + l*q**3 = 0 for q.
-1, -1/5, 1
Let t be 5/300*-28 + (-8)/(-10). Let r(c) be the second derivative of -2/3*c**3 - t*c**4 + 1/5*c**5 + 0 - 3*c + 2*c**2. Factor r(w).
4*(w - 1)**2*(w + 1)
Let m(h) = 2*h**2 - 83*h + 90. Let c(d) = -4*d**2 + 181*d - 178. Let f(y) = 6*c(y) + 14*m(y). Factor f(i).
4*(i - 16)*(i - 3)
Suppose -657*j - 288 = -655*j. Let w be j/180*18/(-8). Find o, given that 6/5 - w*o + 3/5*o**2 = 0.
1, 2
Let i(y) be the first derivative of 55/3*y**3 + 3*y**5 - 30*y + 65/4*y**4 - 25/2*y**2 - 40. What is b in i(b) = 0?
-3, -1, 2/3
Suppose 14*y - y = -22 + 61. Let b(r) be the first derivative of 4 + 1/2*r**4 + 3*r**2 - 18*r + 10/3*r**y. Factor b(m).
2*(m - 1)*(m + 3)**2
Let t(q) be the second derivative of -q**7/280 - q**6/10 + 13*q**5/40 - q**3 + q**2 - 54*q. Let p(w) be the second derivative of t(w). Let p(b) = 0. What is b?
-13, 0, 1
Let o(v) be the first derivative of 6*v**2 + 3*v**3 - 58 - 3/4*v**4 + 0*v. Find g, given that o(g) = 0.
-1, 0, 4
Let x = 377 - 375. Factor 16*j + 12*j**5 - 80*j**2 + 16 + 0*j**4 + 4*j**4 + 0*j**4 - 44*j**3 + 44*j**x.
4*(j - 2)*(j + 1)**3*(3*j - 2)
Suppose -388*d + 403*d - 30 = 0. Let c(r) be the second derivative of 17*r + 0*r**d + 0 - 1/15*r**3 + 0*r**4 + 1/50*r**5. Factor c(s).
2*s*(s - 1)*(s + 1)/5
Let j(h) be the second derivative of -2 - 22*h - 1/140*h**5 - 5/84*h**4 + 0*h**2 - 1/7*h**3. Solve j(s) = 0 for s.
-3, -2, 0
Let 2/5*j**5 - 4/5*j**2 - 14/5*j**4 + 34/5*j + 18/5 - 36/5*j**3 = 0. What is j?
-1, 1, 9
Let x be (1258 - 1263)/((-225)/24). Let d = 4182 - 62698/15. Suppose -2/15*y**4 - x*y**3 + 0*y**2 + d + 32/15*y = 0. Calculate y.
-2, 2
Let q = 1490949/4 - 372737. Factor -6 - 5/2*b + q*b**2.
(b - 12)*(b + 2)/4
Let v(j) = -10024*j - 20045. Let g be v(-2). Factor 6/7*d**2 - 2/7*d**g + 0 + 20/7*d.
-2*d*(d - 5)*(d + 2)/7
Let a be (10/(-12))/(154/(-924)). Let g(r) be the third derivative of -1/12*r**4 + 1/300*r**a + 0*r + 12*r**2 + 0 + 5/6*r**3. Determine h, given that g(h) = 0.
5
Let f(n) = n**3 + 6*n**2 + 6. Let w be f(-6). Suppose -27*u = -25*u - w. Solve 7/4*k**2 - 1/4*k**u - 3/4*k**4 + 0*k - 1 + 1/4*k**5 = 0 for k.
-1, 1, 2
Determine a so that 847*a**2 + 505*a + 607*a**2 - 1459*a**2 - 2400 = 0.
5, 96
Suppose -k = 2*k. Suppose k = 2*j + 3*s - 69, 1 = -s + 4. Factor 12*n + j*n**3 - 30*n**2 - 3 + 3*n + 7*n**5 - n**5 - 15*n**4 - 3*n**5.
3*(n - 1)**5
Let u be 2/10*-1*-2. Let x = 1/85668 + 599671/428340. Suppose -u*p**3 - p**5 - x*p**4 + 0*p + 0*p**2 + 0 = 0. Calculate p.
-1, -2/5, 0
Let y = 49711/136554 + -5/12414. Factor 0 + y*i - 14/11*i**2.
-2*i*(7*i - 2)/11
Let w(i) be the third derivative of -i**5/150 - 57*i**4/10 + 343*i**3/15 + 16*i**2 + 10*i. Factor w(a).
-2*(a - 1)*(a + 343)/5
Determine z so that 2610/7*z**2 - 3254/7*z + 2/7*z**4 + 1300/7 - 94*z**3 = 0.
1, 2, 325
Let o(a) be the first derivative of 2*a**5/45 - a**4/6 - 20*a**3/27 + 509. Factor o(q).
2*q**2*(q - 5)*(q + 2)/9
Let c be (-296)/(-12) + (308 - 332). Find b, given that 2/3*b - 1/2*b**3 + 0 - c*b**2 = 0.
-2, 0, 2/3
Let f be 8/28 - (-57)/21 - -17. Find w such that -f*w - 5*w**4 + 14 - 15*w**2 - 3 + 9 + 0 + 25*w**3 - 5*w = 0.
-1, 1, 4
Let i(b) be the third derivative of b**8/378 - 23*b**7/945 - b**6/54 + 23*b**5/270 + b**4/18 - 10*b**2 - 53*b. Suppose i(y) = 0. What is y?
-1, -1/4, 0, 1, 6
Let v be 1*-6*3/(-36)*-2. Let w be 4*(3 - 2) + v. Suppose 0 - 2/3*p - 2/3*p**4 + 2/3*p**2 + 2/3*p**w = 0. Calculate p.
-1, 0, 1
Let s(c) = -7*c**4 - 19*c**3 + 17*c**2 + 15*c. Let y(x) = -20 - x - x**2 + x**4 + 20 - x**3. Let l(r) = -s(r) - 3*y(r). Factor l(h).
2*h*(h - 1)*(h + 6)*(2*h + 1)
Suppose 89 + 130 = 101*k - 185. Let -2/3*x**2 + 0*x**3 + 0 + 0*x - 1/6*x**5 + 1/2*x**k = 0. Calculate x.
-1, 0, 2
Let w = -114/989 - -1787/6923. Solve -5/7*h - 2/7*h**2 + 6/7 + w*h**3 = 0.
-2, 1, 3
Let t be (2/2)/(1552/(-312) - -5). Suppose -49*s - 3*s**2 + 18 + t*s - 5*s = 0. What is s?
-6, 1
Let f = 732533 + -731450. Factor -2223*r - 117/2*r**3 + 3/4*r**4 + 4791/4*r**2 + f.
3*(r - 38)**2*(r - 1)**2/4
Let i(t) be the second derivative of -5*t**7/6 + 31*t**6/2 - 167*t**5/2 + 130*t**4 - 160*t**3/3 + 662*t. Let i(p) = 0. Calculate p.
0, 2/7, 1, 4, 8
Let b(k) be the second derivative of -64/3*k**3 - 512*k**2 + 72*k - 1/3*k**4 + 0. Factor b(v).
-4*(v + 16)**2
Let i(z) be the second derivative of z**4/42 - 19*z**3/21 - 120*z**2/7 + 49*z - 1. Factor i(d).
2*(d - 24)*(d + 5)/7
Suppose -503*k - 583 = -653*k + 17. Factor 40/9*f + k*f**2 + 16/9 + 2/9*f**4 + 14/9*f**3.
2*(f + 1)*(f + 2)**3/9
Find v such that -10138/3*v + 2*v**2 - 3380/3 = 0.
-1/3, 1690
Let t = 592 + -567. Let j(f) = 10*f - 250. Let h be j(t). Factor 0*p + 1/2*p**3 - p**2 + h.
p**2*(p - 2)/2
Let h(i) be the second derivative of 0*i**3 + 1/63*i**7 - 2*i + 2/15*i**6 + 0*i**2 + 2/5*i**5 + 18 + 4/9*i**4. Factor h(l).
2*l**2*(l + 2)**3/3
Let h(j) be the second derivative of 155*j**4/72 - 455*j**3/18 - 10*j**2 - 2360*j + 2. Factor h(z).
5*(z - 6)*(31*z + 4)/6
Let f(a) be the second derivative of a**7/252 - 287*a**6/180 + 4147*a**5/24 - 20449*a**4/72 + 11*a + 135. Let f(o) = 0. Calculate o.
0, 1, 143
Let a(t) be the second derivative of 5*t**4/4 - 275*t**3/6 + 245*t**2 + 2914*t. Factor a(k).
5*(k - 2)*(3*k - 49)
Let b(v) = -15*v**2 + 48*v - 6. Let i be b(3). Let r(s) be the second derivative of 0 + 1/6*s**4 + 0*s**3 - 4*s**2 - i*s. Suppose r(x) = 0. What is x?
-2, 2
Suppose -180*p + 198*p = 0. Let g(u) be the third derivative of 0 + 3/8*u**5 + 7/48*u**6 + 0*u**3 + 9*u**2 + 5/24*u**4 + p*u. Determine n so that g(n) = 0.
-1, -2/7, 0
Let x(q) be the second derivative of 3*q + 16/3*q**3 - 1/3*q**4 + 9 + 18*q**2. What is l in x(l) = 0?
-1, 9
Suppose 3*i = 12, 2*u + i - 121 = -u. Let r = -36 + u. Factor 3 + 9*w**2 + 4*w + 3*w**r + 7*w - 2*w.
3*(w + 1)**3
Let g(m) be the first derivative of -9 + 648/7*m + 2/21*m**3 - 36/7*m**2. Factor g(f).
2*(f - 18)**2/7
What is p in 43/2*p**4 - 83/2*p + 41*p**3 - 41/2 - p**2 + 1/2*p**5 = 0?
-41, -1, 1
Let p(w) be the third derivative of 0*w**3 - 13/270*w**5 + 0 - w - 7*w**2 - 1/1080*w**6 - 169/216*w**4. Solve p(o) = 0 for o.
-13, 0
Suppose h + 13 = 4*j + 5, 4*h - 31 = -5*j. Let 21 - 5623*r + 5615*r - 36*r**2 + 8*r**3 + 11 + h*r**4 = 0. What is r?
-4, -1, 1, 2
Let y = 90575 + -90573. Factor 1/4*v**4 + 1/4*v**3 + 0*v + 0 + 0*v**y.
v**3*(v + 1)/4
Suppose -6*y**3 + 2*y + 23/3*y**2 + 0 = 0. What is y?
-2/9, 0, 3/2
Suppose 0 = 22*w - w - 504. Determine y so that -54*y**2 + 0*y - 357*y**3 - 81*y - w + 240*y - 27*y - 147*y**4 = 0.
-2, -1, 2/7
Let n = -216 - -226. Let j be 3*(96/9 + -2). Factor 5*m**4 - 48 + 5*m**2 + 22 - n*m**3 + j.
5*m**2*(m - 1)**2
Let m(v) be the second derivative of v**4/4 + 92*v**3 - 1121*v. Let m(o) = 0. Calculate o.
-184, 0
Let t(p) be the second derivative of -p**4/6 - 680*p**3 - 1040400*p**2 - 4183*p. Let t(v) = 0. Calculate v.
-1020
Let y(s) be the second derivative of s**5/50 + 14*s**4/15 + 7*s**3/5 - 162*s**2/5 + 5814*s. Factor y(c).
2*(c - 2)*(c + 3)*(c + 27)/5
Let p(g) be the second derivative of -441*g**5/100 + 721*g**4/20 + 209*g**3/30 + g**2/2 + 1244*g. Find n such that p(n) = 0.
-1/21, 5
Suppose 43*q - 132 - 126 = 0. Let j(w) be the first derivative of 0*w**4 + 10 + 3*w**3 - q*w**2 - 3/10*w**5 + 9/2*w. Factor j(y).
-3*(y - 1)**3*(y + 3)/2
Let y be (-6)/(-9)*-5*30/(-50). Factor 2 + 4*d**2 + y - 5*d**2 - 3*d**2.
-4*(d - 1)*(d + 1)
Let l be -14 - (-96)/(-200)*-30. What i