 w**4 + 2*w.
2*(w + 1)**3*(7*w - 2)
Let f be 0*3/12*-2. Suppose f = -d + 6*d, 0 = -2*c - 3*d + 6. Factor 0*b**2 + b**2 - 4*b**2 + 0*b**c - 3*b**3.
-3*b**2*(b + 1)
Let x(o) = -216*o + 28*o**3 - 40 + 109*o**2 + 45*o**2 + 76 + 111*o**3. Let d(g) = 140*g**3 + 155*g**2 - 215*g + 35. Let z(r) = 4*d(r) - 5*x(r). Factor z(t).
-5*(t + 2)*(3*t - 2)*(9*t - 2)
Let s be ((-3)/(-9))/(714/306). Find i, given that 0 - s*i**4 + 0*i**2 + 0*i + 1/7*i**3 = 0.
0, 1
Determine g so that 0*g**2 - 225/4*g**3 + 0 + 35/2*g**4 + 0*g - 5/4*g**5 = 0.
0, 5, 9
Let n be (4/40 - (-279)/(-630))*10/(-4). Factor 10/21*y**2 + 2/7*y**3 + 0 - n*y**4 + 2/21*y.
-2*y*(y - 1)*(3*y + 1)**2/21
Let x(p) be the first derivative of p**3/6 - 2*p**2 - 65*p/2 + 15. Determine w, given that x(w) = 0.
-5, 13
Suppose 0 = -19*d + 23*d - 52. Let i be ((-2)/18)/(d/(-195)). Let -1/3*p - i*p**2 + 0 = 0. What is p?
-1/5, 0
Let s(r) be the second derivative of -19*r + 1/30*r**3 - 1/60*r**4 + 0 + 1/10*r**2 - 1/100*r**5. Solve s(l) = 0 for l.
-1, 1
Let w(t) be the second derivative of 0 - 5/3*t**4 - 19*t + 25/6*t**3 - 5/2*t**2. Find u such that w(u) = 0.
1/4, 1
Let i be (-15 - 1305/(-75)) + 3/5. Determine f so that -1/2*f**4 + 0 + 3/2*f**2 + f + 0*f**i = 0.
-1, 0, 2
Factor -290*t**2 - 34 + 147*t**2 - 15*t + 144*t**2.
(t - 17)*(t + 2)
Let h(b) = -3*b**3 - 8*b**2 + 5*b + 4. Let y(x) = -24*x**2 + 46*x**2 - 42 - 66*x + 83*x**2 - 9 + 39*x**3. Let k(u) = 27*h(u) + 2*y(u). What is p in k(p) = 0?
-2, -1, 1
Let i(j) = -4*j**3 + 6*j**2 + 7*j. Let w(u) = -4*u**3 + 5*u**2 + 6*u. Let o = 15 + -21. Let p(r) = o*i(r) + 7*w(r). Solve p(q) = 0 for q.
-1/4, 0
Find u such that -100/3*u + 95/3 + 5/3*u**2 = 0.
1, 19
Let a be (-17)/51*(-228)/10. What is u in -a*u**3 + 8/5*u + 16/5*u**2 + 0 + 14/5*u**4 = 0?
-2/7, 0, 1, 2
Let b be (10 - 9)/((-2)/(-74)). Factor 30*a**5 - 8*a**3 - 63*a**5 + 4*a**4 + b*a**5.
4*a**3*(a - 1)*(a + 2)
Let -644*v**2 - 651*v**2 + 1298*v**2 - 828*v + 57132 = 0. What is v?
138
Solve -1/3*h**3 + 8/3*h**2 + 19/3*h + 10/3 = 0 for h.
-1, 10
Let v(p) be the second derivative of 5*p**7/42 - 7*p**6/6 + 3*p**5/2 - 183*p. Let v(y) = 0. Calculate y.
0, 1, 6
Factor 0*g**3 + 8*g + 2*g**4 - 36*g**2 - 2*g**3 + 5 + 11 + 24*g**2.
2*(g - 2)**2*(g + 1)*(g + 2)
Let a(i) = 25*i + 21. Let h be a(-1). Let r be 66/9 + (-10 - h). What is l in 0 + 2/3*l + r*l**2 = 0?
-1/2, 0
Let r(b) be the third derivative of 0 + 34*b**2 + 3/35*b**5 - 8/21*b**3 - 1/7*b**4 - 1/84*b**6 + 0*b. Suppose r(x) = 0. What is x?
-2/5, 2
Let q(p) be the third derivative of -p**6/200 - 21*p**5/100 - 3*p**4 - 10*p**3 + 40*p**2 - 2. Solve q(j) = 0.
-10, -1
Let t(g) be the third derivative of -g**7/1260 - 7*g**6/36 + g**5/360 + 35*g**4/36 - 56*g**2 - 7*g. Factor t(b).
-b*(b - 1)*(b + 1)*(b + 140)/6
Let u be 615/105 - 5/((-6)/(-3) - 1). Factor 2/7*k**2 + u*k + 4/7.
2*(k + 1)*(k + 2)/7
Let s(n) be the third derivative of 0 + 12*n**2 + 0*n**3 + 1/32*n**6 + 0*n + 5/96*n**4 - 1/168*n**7 - 1/16*n**5. Factor s(y).
-5*y*(y - 1)**3/4
Let n(l) = -5*l - 41. Let g be n(-9). Factor 7*a**2 - 3*a**5 - 2 - 3*a**g - 2 - 104*a**3 + 103*a**3 + 4*a**5.
(a - 2)**2*(a - 1)*(a + 1)**2
Find b such that 385*b - 1/3*b**5 + 363 - 1022/3*b**2 - 67/3*b**4 - 1154/3*b**3 = 0.
-33, -1, 1
Factor 6/7*t**3 + 24/7*t**2 + 0 + 24/7*t.
6*t*(t + 2)**2/7
Let v(y) be the first derivative of y**4/12 + 4*y**3/9 + y**2/6 - 2*y + 132. Suppose v(t) = 0. Calculate t.
-3, -2, 1
Let s be 7 + 360/(-52) - 44/(-104). Factor 0 - 3/10*k**4 - 1/10*k + s*k**3 - 1/10*k**2.
-k*(k - 1)**2*(3*k + 1)/10
Let o = 140 + -1259/9. Solve -o*b**2 - 2/9 + 1/3*b = 0.
1, 2
Let y = 1949 - 5843/3. Let v(w) be the first derivative of -1/2*w**2 - 5 + 4/5*w**5 - 1/6*w**6 + y*w**3 - 3/2*w**4 + 0*w. Factor v(p).
-p*(p - 1)**4
Let z(b) = -b + 13. Let c be z(11). Factor 4*u**3 - 5*u**2 - 76*u**4 + 34*u**4 + c*u + 41*u**4.
-u*(u - 2)*(u - 1)**2
Suppose -2*m + b + 20 = 0, 2*m + 2*b - 19 = 7. Suppose 7*q = m*q - 4, 5*q = -4*u + 13. Suppose -8/9*r + 4/3*r**u + 0 - 4/9*r**3 = 0. What is r?
0, 1, 2
Let m(k) be the second derivative of 8*k + 3/40*k**4 + 3/10*k**2 - 29/60*k**3 + 0. Let m(b) = 0. Calculate b.
2/9, 3
Let x(k) be the second derivative of 5/12*k**4 + 10*k**2 + 0 + 10/3*k**3 - 10*k. Factor x(j).
5*(j + 2)**2
Suppose 0 = 5*r - 59 + 49. Factor 3*d**3 - 4*d**2 - d + 7*d**2 - 24*d**4 - r*d + 21*d**4.
-3*d*(d - 1)**2*(d + 1)
Let l(i) be the first derivative of -i**5/20 - 3*i**4/8 - 11*i**3/12 - 3*i**2/4 - 96. Factor l(b).
-b*(b + 1)*(b + 2)*(b + 3)/4
Suppose 0 = -59*m + 96 + 81. Let x(r) be the first derivative of 0*r + 2/15*r**m + 1/5*r**2 - 7. Let x(c) = 0. Calculate c.
-1, 0
Let z(t) be the second derivative of -2*t**7/21 - 46*t**6/15 - 42*t**5/5 + 2*t**4/3 + 86*t**3/3 + 42*t**2 + 132*t. Let z(l) = 0. Calculate l.
-21, -1, 1
Let t(c) be the first derivative of -8/39*c**3 + 8/65*c**5 + 0*c + 14 + 1/39*c**6 + 3/26*c**4 - 4/13*c**2. Find k such that t(k) = 0.
-2, -1, 0, 1
Let r = 23 - 16. Let w be (-8)/(-2) - (-1 - r). What is z in -w*z**2 - 21/4*z**3 - 3*z + 0 = 0?
-2, -2/7, 0
Let w be (-18)/270 + 226/390 + (-4)/(-26). Factor 0 + w*p + 4/3*p**2 + 2/3*p**3.
2*p*(p + 1)**2/3
Let f(j) = 3*j**3 + 5*j**2 - 23*j + 15. Let k(q) = -160*q + 13*q**3 + 105 - 12*q**3 + 35*q**2 + 19*q**3. Let c(i) = -15*f(i) + 2*k(i). Factor c(u).
-5*(u - 1)**2*(u + 3)
Suppose 11*s - g = 16*s + 507, 3 = g. Let o = s + 104. Find b such that -2/5*b**o + 0*b + 2/5 = 0.
-1, 1
Find o, given that 2/5*o**5 + 2/5*o**4 - 18/5*o**3 - 24/5 + 8*o - 2/5*o**2 = 0.
-3, -2, 1, 2
Let m be (-6)/(-21) + 270/35 + (-153)/24. Find o, given that 1/8*o**3 - o**2 - 3/4 + m*o = 0.
1, 6
Let w(a) be the second derivative of a**6/140 - 2*a**5/105 - a**4/21 - 11*a**2/2 - 9*a. Let j(r) be the first derivative of w(r). Factor j(x).
2*x*(x - 2)*(3*x + 2)/7
Suppose 88*m**4 + 66*m**3 - 180*m**4 - 64*m**2 + 90*m**4 = 0. Calculate m.
0, 1, 32
Let g be (-8)/(-20)*5 + (-6)/4. Let x(j) be the first derivative of -g*j**6 - 9/2*j**4 + 0*j + 2 + 12/5*j**5 - 3/2*j**2 + 4*j**3. Factor x(i).
-3*i*(i - 1)**4
Factor 22707/4 + 261/2*x + 3/4*x**2.
3*(x + 87)**2/4
Factor -611*f**5 + 2*f**4 - 6*f**2 + 5*f**3 + 1225*f**5 - 615*f**5.
-f**2*(f - 3)*(f - 1)*(f + 2)
Suppose -4*t - 8 = -6*t. Let x be 4/5*650/20. Factor -w**4 + 6*w**2 - 8 + 32*w - x*w**3 + 4*w**4 + 4*w**t + w**4.
2*(w - 2)**2*(w + 1)*(4*w - 1)
Let o(d) be the third derivative of 2*d**7/735 + d**6/140 + d**5/210 + 3*d**2 + 3*d. Factor o(m).
2*m**2*(m + 1)*(2*m + 1)/7
Let z(k) = -3*k - 3. Let i(g) = -g. Let b(t) = -4*i(t) + z(t). Let m be b(4). Factor -2*x**2 + 1 - 10 + 8*x + m.
-2*(x - 2)**2
Factor 63/5 + 3/5*z - 3/5*z**3 - 63/5*z**2.
-3*(z - 1)*(z + 1)*(z + 21)/5
Let q be 105/(-14) - 2/(-4). Let r(d) = d**2 - 3*d. Let p(x) be the second derivative of x**4/6 - 5*x**3/6 + 12*x. Let f(c) = q*r(c) + 4*p(c). Factor f(v).
v*(v + 1)
Let g = -1 - -6. Let y(u) = -u**4 + 3*u**2 + 2*u. Let f(k) = -3*k**2 - 4*k**4 + k**4 - 3*k**3 + 10*k**2 + 5*k + 4*k**3. Let w(v) = g*y(v) - 2*f(v). Factor w(d).
d**2*(d - 1)**2
Let s(d) be the third derivative of -1/20*d**5 + 1/20*d**6 - 1/4*d**4 - 12*d**2 + 1/2*d**3 + 0 + 0*d. Factor s(t).
3*(t - 1)*(t + 1)*(2*t - 1)
Suppose x - 21 = -18. Let d(k) be the second derivative of 0 - 10*k + 0*k**2 + 0*k**4 - 9/100*k**5 - 1/50*k**6 + 2/5*k**x. Let d(q) = 0. What is q?
-2, 0, 1
Let y = -4/281 - -461/12645. Let c(r) be the second derivative of -y*r**6 + 0*r**2 - 7/90*r**5 - 1/27*r**3 + 0 - 5/54*r**4 - 11*r. Factor c(x).
-2*x*(x + 1)**2*(3*x + 1)/9
Let w be (-4)/(-10) - 682/(-155). Let y = -188/5 + 38. Factor -w*i - y*i**3 + 12/5*i**2 + 16/5.
-2*(i - 2)**3/5
Let u(h) = 330*h**3 + 326*h**2 - 20*h + 16. Let b(i) = 110*i**3 + 109*i**2 - 6*i + 5. Let k(s) = -16*b(s) + 5*u(s). Let k(a) = 0. Calculate a.
-1, -2/55, 0
Let f be (-940)/313 + 0 + 95 + -92. Let w = f + 637/3443. Find n, given that 2/11*n**2 + 0 - 2/11*n**4 + w*n - 2/11*n**3 = 0.
-1, 0, 1
Factor 0 + 2/13*k**2 + 8/13*k.
2*k*(k + 4)/13
Let q(c) be the third derivative of 0*c + 1/1365*c**7 - 1/130*c**5 + 0*c**4 + 0 + 1/390*c**6 + 0*c**3 - 3*c**2. Factor q(i).
2*i**2*(i - 1)*(i + 3)/13
Suppose 350*s - 286*s - 128 = 0. Suppose 0 = -5*f + 14 + 1. Solve -39/7*i**s + f*i**4 + 12/7*i**5 - 6*i**3 - 12/7 + 60/7*i = 0.
-2, 1/4, 1
Let u(b) be the third derivative of b**6/240 + b**5/16 - 3*b**4/8 - b**3