 + 14*m**2 - 34/3*m**4 + 0 + 2*m**3.
-2*m*(m + 1)**3*(9*m - 10)/3
Let f(c) be the first derivative of -1/5*c + 1/15*c**3 - 4 + 1/20*c**4 - 1/10*c**2. Factor f(x).
(x - 1)*(x + 1)**2/5
Suppose -u - 5*h = -38, 0 = 4*h - 107 + 79. Factor 9/2*d**2 + 3/2*d - 9/2 - 3/2*d**u.
-3*(d - 3)*(d - 1)*(d + 1)/2
Let n(t) be the first derivative of t**2 + 18 + 0*t + 8/9*t**3 + 1/6*t**4. Factor n(h).
2*h*(h + 1)*(h + 3)/3
Let s(b) = 2*b**3 + 17*b**2 - 45*b + 26. Let f(t) = -2*t**3 - 16*t**2 + 44*t - 26. Let y(w) = -5*f(w) - 6*s(w). Factor y(o).
-2*(o - 1)**2*(o + 13)
Factor 126*d + 2*d**2 - 4*d**2 + 3*d**2 + 12*d + 158*d + 21904.
(d + 148)**2
Factor 4*y - 3*y - 6 + 3*y**3 + 9*y**2 - 3*y**4 - 4*y.
-3*(y - 2)*(y - 1)*(y + 1)**2
Let g = -104 - -122. Suppose 18 = -v - 0*q - 5*q, v - g = 4*q. Find a such that 3/7*a**v + 3/7 + 6/7*a = 0.
-1
Suppose 0 = 2*b - 7 - 3. Suppose -5*g - 4*c + 256 = 0, 5*g + c - 244 = -0*g. Suppose -42*p**2 + 3*p**b + g*p**2 + 6*p + 3*p - 12*p**3 - 6*p**4 = 0. Calculate p.
-1, 0, 1, 3
Let z(h) = -6*h**3 - 10*h**2 + 4. Let t(f) = f**3 + f**2 + 1. Let u(v) = -4*t(v) - z(v). Determine k, given that u(k) = 0.
-2, 1
Let d be ((-20)/60)/((2/21)/(-2)). Let b(l) be the third derivative of 0 + l**3 - 1/105*l**7 + 1/3*l**4 + d*l**2 + 0*l - 1/15*l**6 - 1/15*l**5. Factor b(r).
-2*(r - 1)*(r + 1)**2*(r + 3)
Let m be (88/(-16) - -3)*8/(-90). Suppose m + 0*u**2 + 1/3*u - 1/9*u**3 = 0. Calculate u.
-1, 2
Let k(n) be the first derivative of n**4/4 + 26*n**3/21 - 43*n**2/14 + 10*n/7 + 170. Factor k(y).
(y - 1)*(y + 5)*(7*y - 2)/7
Let w = 25 + -9. Let z = w - 16. Determine v, given that z - 2/3*v - 2/9*v**2 = 0.
-3, 0
Let m(s) = s**3 - 11*s**2 + 7*s + 19. Let p be m(10). Let k be -5 - p - 8/2. Find x such that 3*x**4 + 1 + 2 - 4*x**2 + 0*x**k - 2*x**2 = 0.
-1, 1
Suppose -4*v + 0*v - 5*q = -47, 5*v + 2*q - 46 = 0. Suppose 0 - 2 - 6 + 2*s + v*s**2 - 2*s**3 = 0. What is s?
-1, 1, 4
Factor 0*g - 9/8 + 1/8*g**2.
(g - 3)*(g + 3)/8
Let j(w) = w**2 - 12*w + 1. Let n be j(12). Let p(b) = 7*b - 5. Let y be p(n). Factor -2/3*q**y + 4/9*q + 0 + 0*q**3 + 2/9*q**4.
2*q*(q - 1)**2*(q + 2)/9
Let v = 4711/7860 - -1/1572. What is w in -1/5 + 1/5*w**3 + v*w - 3/5*w**2 = 0?
1
Let h(z) be the first derivative of -z**4 + 28*z**3/3 - 30*z**2 + 36*z - 11. Suppose h(m) = 0. Calculate m.
1, 3
Suppose -6*d + 8*d - 36 = 0. Suppose -15*n**2 + 3*n**5 + 11*n**3 - 12*n + 3*n**2 + d*n**4 - 2*n**3 - 6*n**4 = 0. What is n?
-2, -1, 0, 1
Suppose -8 = -4*f - 5*r, -12 = 5*f + 5*r - 22. Let -4/9 + 2/9*v**f - 2/9*v = 0. Calculate v.
-1, 2
Factor 4/9*a**3 + 2/9*a**4 + 0*a + 0 - 16/9*a**2.
2*a**2*(a - 2)*(a + 4)/9
Let d(k) be the third derivative of 1/10*k**4 + 0*k - 1/20*k**5 + 0*k**3 + 1/200*k**6 + 24*k**2 + 0. Determine w so that d(w) = 0.
0, 1, 4
Let u be -75*2/(-39) - (-4)/208*8. Find s such that -2/15*s**u + 0 + 4/15*s**3 + 2/3*s**2 - 4/5*s = 0.
-2, 0, 1, 3
Suppose 3*k - 17 = -8. Let k*s**4 - 3 - s**2 + 12*s**5 - 1 - 30*s**3 - 9*s**2 + 18*s + 11*s**4 = 0. What is s?
-2, -1, 1/3, 1/2, 1
Let -723*w + 107*w + 959*w**2 - 955*w**2 + 1903 + 21813 = 0. Calculate w.
77
Suppose -9*j + 78*j**3 + 74*j**3 - 233*j**3 + 4 + 80*j**3 + 6*j**2 = 0. What is j?
1, 4
Let l = 3695/52 + -283/4. Find w, given that 2/13*w**4 + 0*w + 4/13*w**2 - 10/13*w**3 + l*w**5 + 0 = 0.
-2, 0, 1/2, 1
Let s = 79 - 76. Let i = 5 - 1. Factor -4*b**s - 2*b**4 - b**5 + 5*b**3 + b**i + b**2.
-b**2*(b - 1)*(b + 1)**2
Let o(k) = k**2 - 106*k + 2730. Let m be o(62). Let -2/5 + 1/5*t + 1/5*t**m = 0. What is t?
-2, 1
What is a in 31*a**2 + 5*a - 21*a - 23*a - 28*a**2 + 3*a - 39 = 0?
-1, 13
Let g = 1799/5 + -359. Find w such that 2/5*w**2 + g - 6/5*w = 0.
1, 2
Let t be (1 - 0)*(-2)/(-64)*8. Suppose 15 = -4*x + 3*u, 6*x + 20 = 3*x + 4*u. Factor 0 + x*b - 1/4*b**4 - t*b**2 - 1/2*b**3.
-b**2*(b + 1)**2/4
Let s(o) be the second derivative of -12*o - 5/2*o**3 - 6*o**2 + 0 - 1/4*o**4. Factor s(y).
-3*(y + 1)*(y + 4)
Let w(g) be the second derivative of g**6/600 - 7*g**5/200 + 3*g**4/20 - 43*g**3/6 + 44*g. Let k(b) be the second derivative of w(b). Factor k(c).
3*(c - 6)*(c - 1)/5
Determine j so that -36 + 10 + 2*j**3 + 28*j**2 - 2*j**5 - 28*j**4 + 26 = 0.
-14, -1, 0, 1
Let r(m) = -4*m**4 + 2*m**3 + 52*m**2 + 106*m - 2. Let k(g) = 13*g**4 - 7*g**3 - 155*g**2 - 317*g + 7. Let l(t) = -2*k(t) - 7*r(t). Solve l(v) = 0 for v.
-3, 0, 6
Suppose -u = 3*t, -159*t = -157*t + 4*u + 20. Let c(d) = -d**2 - 5*d + 3. Let o be c(-5). Determine s so that -s + s**o - 1/4*s**t + 1/4 = 0.
-1, 1/4, 1
Let f(k) be the third derivative of k**5/12 + 175*k**4/24 + 85*k**3/3 - 77*k**2 - k. Factor f(m).
5*(m + 1)*(m + 34)
Let i(m) be the third derivative of -m**7/15120 + m**6/1080 - m**5/180 + m**4/8 + m**2. Let h(a) be the second derivative of i(a). Factor h(d).
-(d - 2)**2/6
Let w(y) be the third derivative of y**7/42 + 5*y**6/12 + 2*y**5/3 - 25*y**4/12 - 15*y**3/2 + 25*y**2 + 6. Factor w(p).
5*(p - 1)*(p + 1)**2*(p + 9)
Let k(c) be the first derivative of c**5/15 - c**4/4 - 7*c**3/9 + 9*c**2/2 - 6*c - 260. Determine z, given that k(z) = 0.
-3, 1, 2, 3
Factor -92/3 + 31*s - 1/3*s**2.
-(s - 92)*(s - 1)/3
Let z(d) = 2*d**4 + d**3 - 2*d**2 - d - 1. Let b(x) = 3*x**4 - 14*x**3 + 14*x**2 + 14*x - 19. Let h(k) = -b(k) + 2*z(k). Determine j, given that h(j) = 0.
-17, -1, 1
Let v = 6/97 - 481/6208. Let b = v - -67/192. Solve -b*m**4 + 0 + 1/3*m**2 + 0*m**3 + 0*m = 0.
-1, 0, 1
Let w(j) be the second derivative of 3*j**5/20 - 8*j**3 + 316*j. Find h such that w(h) = 0.
-4, 0, 4
Find j such that 80 - 108*j**2 + 48*j**2 - 2*j + 55*j**2 - 73*j = 0.
-16, 1
Let q = 21 - 61/3. Let c = 65/177 - 2/59. Factor -q*h**2 + 0*h - c*h**3 + 0.
-h**2*(h + 2)/3
Factor 4/5 + u**5 - 17/5*u**2 - 4/5*u - 23/5*u**4 + 7*u**3.
(u - 2)*(u - 1)**3*(5*u + 2)/5
Let l(y) be the third derivative of -y**7/105 + y**6/20 + y**5/30 - y**4/4 + 45*y**2 + 1. Let l(q) = 0. Calculate q.
-1, 0, 1, 3
Let n(a) be the second derivative of -5*a**7/84 - 5*a**6/6 - 3*a**5 - 55*a**4/12 - 35*a**3/12 - 373*a. Factor n(s).
-5*s*(s + 1)**3*(s + 7)/2
Let i(a) be the second derivative of -1/5*a**5 + 1/6*a**4 + 0 + 0*a**2 + 0*a**3 - 8*a - 1/5*a**6. Factor i(b).
-2*b**2*(b + 1)*(3*b - 1)
Let x(d) be the first derivative of -d**6/80 + 9*d**5/80 - 9*d**4/32 + d**3/4 - 50*d + 17. Let c(n) be the first derivative of x(n). Find k such that c(k) = 0.
0, 1, 4
Let o be (-5)/30*3*-6. Let j(s) be the first derivative of -6/7*s**o + 6/7*s**2 + 6 + 2/7*s**4 - 2/7*s. Factor j(t).
2*(t - 1)**2*(4*t - 1)/7
Let m = 465/442 + -122/221. Factor -7/2*n - 3*n**2 - m.
-(n + 1)*(6*n + 1)/2
Determine k, given that 25*k**3 - 16*k**2 + 46*k + 15*k**3 + 60 - 42*k**3 = 0.
-10, -1, 3
Let p(o) = 5*o**2 - 5*o + 11. Let m = 2 - 5. Let w(u) = -u - 1. Let l(i) = m*p(i) - 21*w(i). Factor l(g).
-3*(g - 2)*(5*g - 2)
Let q(f) = f**4 - 5*f**3 + 13*f**2 + 5*f - 4. Let k(w) = -2*w**3 + 6*w**2 + 2*w - 2. Suppose 3*b + 6 = 6*b. Let x(t) = b*q(t) - 5*k(t). Factor x(r).
2*(r - 1)**2*(r + 1)**2
Let o(a) = -a**3 + 28*a**2 - 109*a - 136. Let m be o(23). Factor 1/2*v**m + 2*v - 2*v**3 - 1/2*v**4 + 0.
-v*(v - 1)*(v + 1)*(v + 4)/2
Suppose -5*k + k + 3*u = 2, k - 4 = 3*u. Let f be 3 + (-2 - 5/2 - k). Let -1/2*t**2 + f + 5/4*t - 5/4*t**3 = 0. Calculate t.
-1, -2/5, 1
Suppose -18*c**2 + 1568/3 + 1/3*c**3 + 224*c = 0. Calculate c.
-2, 28
Let j be ((-2)/(-4) + -1)*(-42)/(-21). Let l be j*(54/14 - 4). Find v such that -4/7*v + 4/7 + l*v**2 = 0.
2
Suppose 4*z + 5*n - 1 = 2*n, 0 = n + 5. Let s be (20/16 + -2)/((-9)/z). Determine v, given that 10/3*v**4 + 2/3*v**5 + 16/3*v**2 + 37/6*v**3 + 13/6*v + s = 0.
-2, -1, -1/2
Let d be 22 - ((5 - 0 - 3) + -4). Suppose 0 = u - 7*u + d. Factor -12*q**u + 0 + 4/3*q**5 + 0*q - 36*q**2 + 36*q**3.
4*q**2*(q - 3)**3/3
Let y(q) = -q**2 - 16*q - 28. Let k be 1/(-1) + 3/3 + -14. Let a be y(k). Determine l so that -2/7*l + a - 4/7*l**2 = 0.
-1/2, 0
Let k(h) be the second derivative of 11/2*h**3 + 0 + 3*h**2 + 7*h + 23/4*h**4 + 69/20*h**5 + 11/10*h**6 + 1/7*h**7. Factor k(v).
3*(v + 1)**3*(v + 2)*(2*v + 1)
Let h(n) be the second derivative of n**5/100 + 2*n**4/15 + 13*n**3/30 + 3*n**2/5 - 138*n. Factor h(l).
(l + 1)**2*(l + 6)/5
Let f = 2/3 - 20/39. Factor 0 - f*i**2 - 22/13*i.
-2*i*(i + 11)/13
Let v(o) be the third derivative of o**7/525 + 13*o**6/150 + 12*o**5/25 +