 8/9*m**3 + 4/9*m**4 - 1/9*m**5 + 0 + 1/90*m**6 - 5*m**2. Factor v(q).
4*(q - 2)**2*(q - 1)/3
Factor -8/9*t**4 - 14/9*t**3 - 2/3*t**2 + 0 + 0*t.
-2*t**2*(t + 1)*(4*t + 3)/9
Let y be (25 - 11) + 3 + 1. Factor 13*l + 75*l**2 - l + y - 73*l**2.
2*(l + 3)**2
Let b(p) be the third derivative of -p**7/1155 + p**6/220 - p**5/330 - p**4/44 + 2*p**3/33 + 6*p**2. Suppose b(r) = 0. What is r?
-1, 1, 2
Factor -2/7*j**2 - 6/7*j + 0.
-2*j*(j + 3)/7
Let p be (15 - 12)/(9/4). Find w such that -1/3*w**2 - p + 4/3*w = 0.
2
Suppose -4*p - 3*o + 10 + 7 = 0, -5*o = -15. Let 17/3*l**3 - 20/3*l + 2*l**p - 8/3 + 5/3*l**4 = 0. Calculate l.
-2, -2/5, 1
Let q(u) = -u**2 + 10*u - 7. Let s be q(9). Let -4/3 - 2/3*r**s - 2*r = 0. Calculate r.
-2, -1
Let p(j) = 2*j - 4. Let y be p(4). Solve -6*o**2 - 4*o**y - 9*o**3 + o**4 - 6 + 6 = 0.
-2, -1, 0
Let n(v) = v**2 - 19*v + 21. Let f be n(18). Let h(y) be the first derivative of -1/2*y**4 - 2*y**f - 2*y - 2 - 3*y**2. Factor h(j).
-2*(j + 1)**3
Let m(d) be the third derivative of -d**6/300 - d**5/50 + d**4/16 - d**3/15 - 18*d**2. Determine w, given that m(w) = 0.
-4, 1/2
Factor 3*m**2 - 40*m - 6*m**3 + 5*m**2 + 16 + 20*m**2.
-2*(m - 2)**2*(3*m - 2)
Let v(s) be the second derivative of -27*s**7/14 - 12*s**6/5 + 3*s**5 + 35*s**4/6 + 7*s**3/2 + s**2 + 30*s. Solve v(p) = 0 for p.
-1, -1/3, -2/9, 1
Let v(k) = k**3 + k**2 - k + 5. Let t be v(0). Suppose -29 = -2*j + 5*l, -3*j + t*j + l + 1 = 0. Factor 1 - 2*r**5 + 2*r**4 - 2*r**j - 1 + 2*r**3.
-2*r**2*(r - 1)**2*(r + 1)
Let i(v) be the second derivative of v**5/100 + v**4/30 + 13*v. Find x such that i(x) = 0.
-2, 0
Let y(v) = -14*v - 56. Let x be y(-4). Factor 3/2*o + 0*o**2 + x*o**4 + 0 - 3*o**3 + 3/2*o**5.
3*o*(o - 1)**2*(o + 1)**2/2
Let v = -25 - -28. Let o be -1 + ((-1)/4 - 198/(-120)). Determine j so that 4/5*j**2 + 0 - 2/5*j - o*j**v = 0.
0, 1
Let z(m) be the first derivative of 1 - 4*m**2 + 2/3*m**3 + 8*m. Let z(c) = 0. What is c?
2
Let x(w) = -w**2 + 8*w - 4. Let i be x(3). Suppose 14*r = i*r. Factor r - 1/4*h**2 - 1/4*h.
-h*(h + 1)/4
Let p(i) = 11*i**5 + 17*i**4 - 12*i**2 - 11*i - 5. Let c(g) = 5*g**5 + 8*g**4 - 6*g**2 - 5*g - 2. Let z(h) = -5*c(h) + 2*p(h). Factor z(v).
-3*v*(v - 1)*(v + 1)**3
Let n(k) be the second derivative of -2*k - 1/48*k**4 + 0*k**2 + 0*k**3 + 0 + 1/80*k**5. Find j, given that n(j) = 0.
0, 1
Suppose 6 = -4*v + 5*v. Let u(s) be the first derivative of -1/2*s**v + 0*s + 0*s**3 + 1/2*s**2 - 3/2*s**4 + 2 - 8/5*s**5. Determine b, given that u(b) = 0.
-1, 0, 1/3
Let k(m) be the third derivative of -m**6/660 + m**5/110 - m**4/66 - 8*m**2. Factor k(n).
-2*n*(n - 2)*(n - 1)/11
Let g = -419/93380 - 1/580. Let v = 961/805 - g. Factor v*l**4 - 4/5*l**2 - 2/5 + 2/5*l**5 - 6/5*l + 4/5*l**3.
2*(l - 1)*(l + 1)**4/5
Let q(d) be the second derivative of d + 0*d**4 - 1/45*d**6 + 4/9*d**3 + 0*d**2 - 1/10*d**5 + 0. Let q(x) = 0. Calculate x.
-2, 0, 1
Let y(f) be the first derivative of 3*f**5/20 - f**4/2 - f**3/2 + 3*f**2 + f - 4. Let r(m) be the first derivative of y(m). Factor r(l).
3*(l - 2)*(l - 1)*(l + 1)
Let b(l) be the first derivative of 1/6*l**2 + 2/3*l - 4 - 1/9*l**3. Suppose b(w) = 0. Calculate w.
-1, 2
Let h(d) = -6*d**2 - 23*d + 4. Let l be h(-4). Let l*g + 2/13*g**2 + 0 = 0. What is g?
0
Let k(f) be the first derivative of 0*f + f**2 - 3 + 2/3*f**3. Factor k(m).
2*m*(m + 1)
Suppose 0 = -z + 2*b - 1, 4*z = 4*b - 3*b + 10. Let k(v) be the third derivative of 1/90*v**5 + 1/27*v**z - 3*v**2 + 0*v - 1/27*v**4 + 0. Solve k(x) = 0.
1/3, 1
Let o(y) be the second derivative of 2*y**7/21 + 2*y**6/15 - 2*y**5 + 8*y**4/3 + 35*y. Factor o(n).
4*n**2*(n - 2)*(n - 1)*(n + 4)
Let j(d) be the third derivative of 0*d**3 - 1/24*d**4 - 3*d**2 - 1/60*d**5 + 0 + 0*d. Factor j(v).
-v*(v + 1)
Let z(b) = -b + 9. Let g be z(4). Suppose 0*h - 4*h + 8 = 2*j, -3*h = -g*j + 7. Factor -4/7*a + j*a**2 + 0.
2*a*(7*a - 2)/7
Let h be (-14)/(7*5/(-10)). Solve -6*l**h - 10/3*l**2 - 32/3*l**3 + 4/3*l + 0 = 0 for l.
-1, 0, 2/9
Let d be 3/(-12)*(4 - 4). Suppose d*h = -3*h + 6. Let 0*y - 2/5 + 2/5*y**h = 0. Calculate y.
-1, 1
Find b, given that 3 - b**2 + 0*b**2 - 1 + b - 2*b = 0.
-2, 1
Let k be (0/1)/(0 - -1). Let f = -16 - -19. Let 2/3*t**f - 10/3*t**4 + 0*t + 0 + 8/3*t**5 + k*t**2 = 0. What is t?
0, 1/4, 1
Let f(p) be the second derivative of -p**8/336 + p**7/210 + 2*p**2 - 4*p. Let v(d) be the first derivative of f(d). Determine g, given that v(g) = 0.
0, 1
Let o(n) be the first derivative of -n**6/15 + 7*n**5/60 - n**4/12 + 3*n**3 - 9. Let s(l) be the third derivative of o(l). Factor s(t).
-2*(3*t - 1)*(4*t - 1)
Let x(b) be the third derivative of -1/240*b**6 + 0 - 1/24*b**3 + 0*b**4 - 3*b**2 + 0*b + 1/80*b**5. Determine j, given that x(j) = 0.
-1/2, 1
Let o be (-1113)/4228 - 1/(-4). Let q = o + 1822/755. Factor -2/5 - 2/5*d**4 - q*d**2 + 8/5*d**3 + 8/5*d.
-2*(d - 1)**4/5
Let h be (-4)/(-14*(-2)/(-4)). Suppose -6/7*p + 2/7*p**2 + h = 0. What is p?
1, 2
Suppose -s - 18 = -2*s - 3*p, s + p - 8 = 0. Solve 9*q**s - 3*q + 0*q + 6*q**2 - 12*q**3 = 0 for q.
0, 1
Let p(d) = d**2 + d + 2. Let r(n) = -4*n**2 - 4*n - 9. Let z(t) = 9*p(t) + 2*r(t). Factor z(s).
s*(s + 1)
Let t(q) be the second derivative of q**4/78 - 3*q**3/13 - 10*q**2/13 - 32*q. Determine g so that t(g) = 0.
-1, 10
Let n(h) be the second derivative of -1/84*h**7 + 0*h**4 + 0*h**3 + 1/60*h**6 + 0 + 1/20*h**5 + 0*h**2 + 3*h. Find w, given that n(w) = 0.
-1, 0, 2
Let s(k) be the third derivative of -k**5/180 + k**3/18 - 8*k**2. What is m in s(m) = 0?
-1, 1
Let m be ((-665)/15)/((-1)/(-3)). Let p = m - -667/5. Find t, given that 6/5*t - p + 8/5*t**2 = 0.
-1, 1/4
Suppose 13 = 5*g - 4*a - 28, 28 = 4*g - 2*a. Suppose g = i + 2. Solve 0 + 50/11*z**i - 40/11*z**2 + 8/11*z = 0.
0, 2/5
Suppose -22*m + 4 = -20*m. What is s in 2/13 - 6/13*s - 2/13*s**3 + 6/13*s**m = 0?
1
Let h = -68 - -71. What is z in 0*z + 6/7*z**2 - 2/7*z**h - 8/7 = 0?
-1, 2
Let t(a) be the third derivative of -3*a**6/40 + a**5/4 + a**4/2 - 2*a**3 - 9*a**2. Factor t(g).
-3*(g - 2)*(g + 1)*(3*g - 2)
Let g be (1 + 26/(-18))/((-194)/291). Factor -g*i**2 + 2/3*i + 1/6*i**3 + 0.
i*(i - 2)**2/6
Let s(o) = 4*o**2 + 3*o + 3. Let q(p) = -p**2 - 1. Suppose 2*i + 2 = i. Let a(j) = i*q(j) - s(j). Factor a(x).
-(x + 1)*(2*x + 1)
Let h = 26 - 20. Let u(l) = -5*l**2 + l. Let n(t) = 56*t**2 - 12*t. Let c(k) = h*n(k) + 68*u(k). Factor c(g).
-4*g*(g + 1)
Let f(o) be the first derivative of o**7/735 - o**6/420 - o**5/210 + o**4/84 + o**2/2 - 3. Let g(d) be the second derivative of f(d). What is u in g(u) = 0?
-1, 0, 1
Let t(f) be the third derivative of f**7/11340 + f**6/3240 - f**5/270 - f**4/12 + f**2. Let s(i) be the second derivative of t(i). Let s(b) = 0. Calculate b.
-2, 1
Let o(k) = 3*k - 31. Let y be o(11). Let t(f) be the first derivative of -1/4*f**2 + 1/6*f**3 + y + 0*f. Factor t(j).
j*(j - 1)/2
Let h(w) = -6*w**3 - w**2 - 2*w + 9. Let s(p) = -p**3 + 1. Let b(a) = 3*h(a) - 24*s(a). Let b(n) = 0. What is n?
-1, 1/2, 1
Suppose 0 = 8*j + 5*j. Let b**4 - 9/4*b**2 + j + 3/4*b**3 + 1/2*b = 0. What is b?
-2, 0, 1/4, 1
Let h(f) be the first derivative of f**6/3 - f**4 + f**2 + 13. What is l in h(l) = 0?
-1, 0, 1
Let u(o) be the second derivative of o**7/945 + o**6/180 + o**5/135 + o**2/2 - 3*o. Let p(g) be the first derivative of u(g). Factor p(h).
2*h**2*(h + 1)*(h + 2)/9
Let y(m) be the first derivative of 3/2*m**2 + 5/3*m**3 - 2*m + 6. Suppose y(t) = 0. What is t?
-1, 2/5
Let w = -1577/777 - -20/259. Let d = w + 16/7. Factor d + 1/3*p**2 - 2/3*p.
(p - 1)**2/3
Let w(o) be the third derivative of 16*o**7/1155 + 2*o**6/55 + 3*o**5/110 + o**4/132 + 22*o**2. Suppose w(d) = 0. What is d?
-1, -1/4, 0
Factor -1/2*w - 2*w**5 - 13/2*w**3 + 0 - 6*w**4 - 3*w**2.
-w*(w + 1)**2*(2*w + 1)**2/2
Let x(z) = -z**3 - 6*z**2 + 8*z + 13. Let y be x(-7). Let d = y - 4. Factor -6*i + 9/2*i**d + 3/2.
3*(i - 1)*(3*i - 1)/2
Let d(m) be the third derivative of -m**5/20 - m**4/8 + 11*m**2. Factor d(u).
-3*u*(u + 1)
Let u(o) be the second derivative of 2*o + 0*o**3 + 0 - 1/90*o**5 + 0*o**4 - 2/135*o**6 + 0*o**2. Find l such that u(l) = 0.
-1/2, 0
Suppose -4*s**2 - 149*s + 46*s + 31*s - 324 = 0. What is s?
-9
Let d be -1 + 1 + (-6 - -10). Find g such that 4/11*g - 4/11*g**3 + 2/11*g**d + 6/11 - 8/11*g**2 = 0.
-1, 1, 3
