 - 1/6*h**2.
-h**2*(h - 1)**2/6
Suppose 11 = 2*y + r, 2*y - 4*r = 3*y - 23. Determine v so that 22*v**3 + 29*v**y + 61*v**2 + 39*v**3 - 180*v + 100 + 38*v**3 + v**4 - 110*v**3 = 0.
-10, 1
Let b be (-2 - (-9 + -2))*4. Let g = 40 - b. Solve 0*z**4 + 18 - 3*z**4 + 24*z**2 - z**g - 32*z - 6 = 0 for z.
-3, 1
Let p(o) be the third derivative of -o**6/270 + 7*o**5/15 - 185*o**4/18 + 2650*o**3/27 + 328*o**2 - o + 1. Solve p(f) = 0.
5, 53
Let y(c) be the second derivative of -c**5/5 - 398*c**4 - 316808*c**3 - 126089584*c**2 - 429*c. Solve y(o) = 0.
-398
Factor -5/6*c**2 - 15*c - 85/6.
-5*(c + 1)*(c + 17)/6
Suppose -7*l + 21 = -0*l. Let k be (-3)/21 - ((-2)/(-33) + (-74524)/14322). Determine x so that -2/9*x**k + 0*x**4 + 20/9*x**l - 40/9*x**2 - 8/9 + 10/3*x = 0.
-4, 1
Let l = -210 - -277. Suppose -l*b - 148*b + 31*b - 2116 - 4*b**2 = 0. What is b?
-23
Let w = 32 + 1. Suppose 0 = 23*i + w - 148. Factor 0 - 2/9*m + 4/9*m**2 + 2/9*m**i - 4/9*m**4 + 0*m**3.
2*m*(m - 1)**3*(m + 1)/9
Let m be (-11 - (-16488)/272) + 2/(-17). Let u = m - 49. Factor 0 + u*n**3 - 3/2*n**2 + 0*n.
n**2*(n - 3)/2
Let r(n) be the second derivative of n**5/10 - 13*n**4 + 152*n**3/3 + 6*n - 173. Factor r(u).
2*u*(u - 76)*(u - 2)
Let h(c) = 2*c**2 + 374*c + 9925. Let v be h(-155). Factor 0*s - 2/3*s**v - 6*s**3 - 4*s**4 + 0*s**2 + 0.
-2*s**3*(s + 3)**2/3
Let f = -72 + 74. Let n be -1*(f - (207 - 2)). Let -4*k - 215*k**2 + n*k**2 - 4*k = 0. Calculate k.
-2/3, 0
Let n(g) be the first derivative of -g**6/600 + 3*g**5/200 - 86*g**3/3 + 26. Let s(y) be the third derivative of n(y). Factor s(l).
-3*l*(l - 3)/5
Let o(s) be the third derivative of s**8/84 + 2*s**7/21 - 13*s**6/30 - 41*s**5/15 + 2*s**4 + 24*s**3 + 144*s**2 + 3. Let o(w) = 0. Calculate w.
-6, -2, -1, 1, 3
Let p(z) be the first derivative of z**4/12 - 7*z**3/3 + 20*z**2 - 100*z/3 + 579. Let p(c) = 0. Calculate c.
1, 10
Let t(s) be the second derivative of s**7/210 + s**6/40 + s**5/20 + s**4/24 - 71*s**2/2 - s + 3. Let i(g) be the first derivative of t(g). Factor i(y).
y*(y + 1)**3
Let d(y) = -y**2 - 10*y + 14. Let g be d(-11). Let k be 7/(-21) - (-32)/15 - (-604)/3020. What is a in -12 + 18*a + 3/2*a**g - 9*a**k = 0?
2
Suppose -3*u + 48 = 2*y + 40, u = 3*y - 12. Let b(o) be the second derivative of -4/33*o**3 + 1/66*o**4 + u + 0*o**2 - 20*o. Factor b(z).
2*z*(z - 4)/11
Let k(p) be the first derivative of 169/6*p - 13/6*p**2 + 26 + 1/18*p**3. Factor k(m).
(m - 13)**2/6
Let r(m) = 11*m + 13. Let h be r(-1). Suppose 2224*g**2 - 1116*g**h + 8*g - 1112*g**2 = 0. What is g?
0, 2
Let k(g) be the second derivative of -g**7/112 + 7*g**6/80 - 33*g**5/160 + 5*g**4/32 - 130*g + 3. Factor k(a).
-3*a**2*(a - 5)*(a - 1)**2/8
Suppose 36*s - 1799 = 253. Suppose -s = -9*f - 10*f. Find w, given that 4/5*w + 6/5*w**2 + 2/5*w**f + 0 = 0.
-2, -1, 0
Let l be (32794/228 - 142) + ((-10)/12 - -1). Factor 0*x + 0*x**l + 1/3*x**3 - 2/3*x**5 - 7/6*x**4 + 0.
-x**3*(x + 2)*(4*x - 1)/6
Let x(o) be the third derivative of 0 - 105*o**2 + 1/192*o**6 + 1/80*o**5 + 0*o**3 + 0*o + 1/192*o**4. Factor x(n).
n*(n + 1)*(5*n + 1)/8
Let q be 200946/132894 - 2/(-46). Find d such that -q*d**2 - 2/9*d**3 - 28/9*d - 16/9 = 0.
-4, -2, -1
Let r(m) be the second derivative of -m**4/3 - 158*m**3/3 - 600*m**2 - 2085*m. Factor r(k).
-4*(k + 4)*(k + 75)
Suppose 0 = 8*v - 9 - 7. Factor 5*p**3 - 175*p**2 + 119*p**2 + 101*p**v + 40*p.
5*p*(p + 1)*(p + 8)
Let 1/2*g**2 + 51/2*g - 26 = 0. Calculate g.
-52, 1
Let c be -2*(-1)/(10 + 1). Let v be ((-12)/(-10))/((-20)/(-75))*(80 - (-1424)/(-18)). Factor -c*k**v + 2/11*k**3 + 4/11*k**2 + 0*k + 0.
-2*k**2*(k - 2)*(k + 1)/11
Let j = -80 - -85. Factor 54 + 6*b**4 + b**j - 2*b**3 - 166*b**2 - 27*b + 4*b**3 + 130*b**2.
(b - 2)*(b - 1)*(b + 3)**3
Let h(q) be the third derivative of 0*q + 2 - 2/105*q**7 + 0*q**6 + 0*q**4 + 0*q**3 - 1/252*q**8 + 4/45*q**5 - 7*q**2. Factor h(t).
-4*t**2*(t - 1)*(t + 2)**2/3
Factor -8/5*c - 2/5*c**2 + 0 + 1/5*c**3.
c*(c - 4)*(c + 2)/5
Let c(b) be the third derivative of -b**7/490 + 4*b**6/35 + 37*b**5/140 - 16*b**4/7 - 66*b**3/7 - 3392*b**2 + 2*b. Solve c(v) = 0 for v.
-2, -1, 2, 33
Suppose 5*k + 62 = 3*m, 3121*m = 3116*m + k + 30. What is t in 2/9*t**m - 2/3*t**2 + 10/9*t**3 + 20/9 - 26/9*t = 0?
-5, -2, 1
Find v such that 0 + 1/9*v**3 + 0*v - 1/9*v**5 - 1/9*v**4 + 1/9*v**2 = 0.
-1, 0, 1
Let o(q) be the second derivative of q**5/120 + 11*q**4/72 + q**3/12 - 45*q**2/4 - 11*q + 74. Solve o(j) = 0.
-9, -5, 3
Factor 106/3*t - 1/3*t**4 + 211/3*t**2 + 104/3*t**3 + 0.
-t*(t - 106)*(t + 1)**2/3
Solve 98*i**5 - 52*i**5 + 21*i**3 + 14 - 49*i**5 - 20*i**2 - 13*i**2 + 10 + 9*i**4 - 18*i = 0 for i.
-2, -1, 1, 4
Solve -96*d + 240 + 32/3*d**3 - 116/3*d**2 + 4/3*d**4 = 0.
-10, -3, 2, 3
Let j(w) be the first derivative of -w**4/4 - 581*w**3/3 + 875*w**2 - 1168*w - 7390. Factor j(n).
-(n - 2)*(n - 1)*(n + 584)
Suppose 5*v - 181 = -66. Suppose -10 = v*c - 28*c. Factor 44*u - 50*u**2 - c*u**2 + 16 - 8.
-4*(u - 1)*(13*u + 2)
Let w be (-1074)/(-14) - 59292/972. Let 160/7*v - 24/7 - 134/7*v**2 - w*v**3 = 0. Calculate v.
-2, 2/11, 3/5
Let s(u) be the first derivative of u**4 + 52*u**3 + 382*u**2 - 924*u + 1845. Factor s(l).
4*(l - 1)*(l + 7)*(l + 33)
Suppose 10*d - 45 = -5*d. Let f(y) = -7*y**3 + 64*y**2 + 74*y - 3. Let j(n) = 76*n**3 - 704*n**2 - 812*n + 32. Let s(v) = d*j(v) + 32*f(v). Factor s(m).
4*m*(m - 17)*(m + 1)
Let d be (-27)/(-6)*-1*-2. Suppose -d*y + 4 = -14. Determine s so that -10 - 112*s**2 + 57*s**y + 50*s**2 - 3*s - 12*s = 0.
-2, -1
Solve -3 - 73 - 69*t**2 + 72*t**2 - 38 + 111*t = 0.
-38, 1
Let b be (2/(-4))/(19/114). Let k(f) = -8*f**4 - 27*f**3 - 66*f**2 - 40*f + 3. Let l(r) = r**4 - r**3 + 2*r**2 - 1. Let w(x) = b*l(x) - k(x). Factor w(s).
5*s*(s + 2)**3
Let x(t) = -t**3 - 59*t**2 - 314*t + 212. Let c be x(-53). Factor c*g + 0 + 44/21*g**2 - 2/21*g**3.
-2*g**2*(g - 22)/21
Let l(i) be the third derivative of i**6/360 - 19*i**5/180 - 22*i**4/9 - 26*i**3/3 - i**2 + 962. Factor l(k).
(k - 26)*(k + 1)*(k + 6)/3
Let x(h) be the second derivative of 38 + 1/90*h**6 - 2/3*h**2 + h - 2/9*h**3 + 1/12*h**4 + 1/15*h**5. Factor x(v).
(v - 1)*(v + 1)*(v + 2)**2/3
Let l be (8 - 2)/(6/(-4)). Let n be 25 - (4/(-6))/(l/6). Determine f, given that n*f**2 - 3*f**3 + 689 - 48*f - 689 = 0.
0, 4
Let d(p) be the third derivative of -p**6/360 + 73*p**5/60 + 49*p**4/8 + 221*p**3/18 - 759*p**2. What is c in d(c) = 0?
-1, 221
Let q(w) be the third derivative of 0*w**5 - 1/98*w**7 - 22*w**2 + 0*w**3 + 0 + 0*w**4 - 1/70*w**6 - 1/784*w**8 + 0*w. Solve q(v) = 0.
-4, -1, 0
Let v = -2315 + 2318. Let i(y) be the first derivative of 1/6*y**6 + 1/2*y**2 + 0*y + 4/5*y**5 + 3/2*y**4 - 1 + 4/3*y**v. What is w in i(w) = 0?
-1, 0
Suppose 14*y - 427 = 7*y. Suppose -5*t - 51 = -y. Factor 12/5*i**5 - 3*i**4 + 3/5*i**3 + 0*i + 0*i**t + 0.
3*i**3*(i - 1)*(4*i - 1)/5
Let u(p) be the second derivative of p**6/225 + p**5/6 + 41*p**4/30 + 35*p**3/9 + 76*p**2/15 - 239*p. Suppose u(r) = 0. Calculate r.
-19, -4, -1
Let u be 27 + -17 + 21/(-2) + 2. Let i(w) be the first derivative of -3/10*w**5 - 3*w**3 - u*w**4 - 3*w**2 - 3/2*w + 49. Factor i(o).
-3*(o + 1)**4/2
Let w(i) be the third derivative of -i**7/5460 - i**6/780 + i**5/78 + 43*i**3/6 - 14*i**2 + 2. Let y(t) be the first derivative of w(t). Factor y(m).
-2*m*(m - 2)*(m + 5)/13
Solve 0 + 9/4*k**4 + 27*k**2 + 7*k - 79/4*k**3 = 0 for k.
-2/9, 0, 2, 7
Let x be (-5)/3*(-5)/((-75)/(-54)). Suppose -h**2 + h**4 + 9*h**3 - 3*h**3 + 0*h - x*h = 0. What is h?
-6, -1, 0, 1
Let z(m) be the first derivative of 24*m**5 - 14/3*m**6 + 34*m**4 - 54*m**2 + 40*m + 83 - 160/3*m**3. Let z(a) = 0. Calculate a.
-1, 2/7, 1, 5
Let z = -132 - -134. Let q(j) = -2*j**3 - 2. Let o be (-5)/(15/6) + 3. Let b(m) = -m**2 + 1. Let i(g) = o*q(g) + z*b(g). What is p in i(p) = 0?
-1, 0
Let c(w) = w**3 + w**2 + w - 1. Let o be c(1). Let x(g) = 2*g**3 + 3*g**2 + 2*g. Let q be x(o). Factor -85*r**3 + q*r**4 - 7 - 17*r**4 + 155*r**2 - 115*r + 37.
5*(r - 3)*(r - 1)**2*(3*r - 2)
Let l be (-185)/(-33)*6/(-5) - (-24)/3. Let l*u**4 + 0 + 8/11*u + 2/11*u**5 + 30/11*u**3 + 26/11*u**2 = 0. Calculate u.
-4, -1, 0
Let t(m) = -m**3 - 2*m + 17. Let v be t(-6). Let u = v + -243. Factor -1/6*y**u - 1/6 - 1/3*y.
-(y + 1)**2/6
Factor 22 + 156/7*q + 2/7*q**2.
2*(q + 1)*(q + 7