r -7*m**z + 3*m**5 - m + 14*m**3 - 5*m**3 - 4*m**5.
-m*(m - 1)**2*(m + 1)**2
Factor 84*b**3 + 13*b**4 - 100*b**3 - 5*b**5 + b**5 + 3*b**4.
-4*b**3*(b - 2)**2
Let g = 5764 + -5760. Factor 5/6*q**g + 0 + 25/6*q**3 + 5/2*q**2 - 15/2*q.
5*q*(q - 1)*(q + 3)**2/6
Let l = -24329/2 + 12165. Factor -1/4*h**2 - 1/4 - l*h.
-(h + 1)**2/4
Suppose 51*x - 46*x = 0. Let f(o) be the second derivative of 1/30*o**4 - 1/5*o**2 + 1/50*o**5 - 1/15*o**3 + x + 14*o. Suppose f(a) = 0. Calculate a.
-1, 1
Let q(u) = -u**4 - u**3 + u - 1. Let g(a) = 12*a**3 + 12*a**2 + 4*a - 4. Let d be (2 + -1)*-1 + 5. Let k(l) = d*q(l) - g(l). Find i, given that k(i) = 0.
-3, -1, 0
Let d(r) be the second derivative of -5*r**4/48 - 5*r**3/24 + 15*r + 1. Factor d(t).
-5*t*(t + 1)/4
Let d be (9/(-387))/(2/(-262)) + -3. Let g = d + 125/86. Find a such that 0*a + 3*a**2 + 0 - g*a**3 = 0.
0, 2
What is t in 10*t + 3*t**2 + 2*t**2 - 80*t + 65 = 0?
1, 13
Factor 18/5*w**2 + 58/5*w + 12/5.
2*(w + 3)*(9*w + 2)/5
Let b be 8/(-44) - (-31)/(-11). Let c be 51/34 - b/(-4). Let 3/2*f**3 + c*f**4 - 3/4*f - 3/2*f**2 - 3/4*f**5 + 3/4 = 0. Calculate f.
-1, 1
Let i be ((-70)/84)/(3/(-6)). Let u(y) be the first derivative of i*y**3 - 7/4*y**4 + 8*y**2 + 4*y - 5. Determine z so that u(z) = 0.
-1, -2/7, 2
Let k(h) be the third derivative of 3/4*h**3 + 0*h - 5/32*h**4 + 1/160*h**6 - 1/40*h**5 + 24*h**2 + 0. Solve k(q) = 0.
-2, 1, 3
Let a be (-2)/78 - (-1)/3. Let q = 2738 + -35588/13. What is d in a + 2/13*d**2 - q*d = 0?
1, 2
Let x be 2260/(-12)*(-12)/(-16). Let n = 142 + x. Determine l, given that 27/4*l**3 + 3/4*l**2 + 33/4*l**4 + 0 + 3*l**5 - n*l = 0.
-1, 0, 1/4
Factor -4 - 12*b**3 - 6*b**2 + 15*b - 9*b**5 + 12*b**4 - 6 + 4 + 6*b**5.
-3*(b - 2)*(b - 1)**3*(b + 1)
Factor 51/5*k - 98/5 - 1/5*k**2.
-(k - 49)*(k - 2)/5
Let q(s) = s**5 + s**3 + s + 1. Let i = 20 + -18. Let a(y) = -y**5 + 3*y**4 + 5*y**3 - 3*y**2 + 2*y + 2. Let z(x) = i*q(x) - a(x). Let z(j) = 0. Calculate j.
-1, 0, 1
Let y = 960 + -2854/3. Let o be ((-196)/24 - 9/(-54)) + 16. Factor 8/3 + y*g**2 + o*g + 4*g**3 + 2/3*g**4.
2*(g + 1)**2*(g + 2)**2/3
Find r such that -37*r - 54*r + 76*r + 12*r**2 + 3*r**3 = 0.
-5, 0, 1
Let s(x) = -x**2 + 11*x - 8. Let l be s(10). Solve 4 - d**l + 0 - 1 - 2*d = 0 for d.
-3, 1
Let a(n) be the first derivative of 3*n**5/5 + 33*n**4/2 - 23*n**3 + 477. Factor a(v).
3*v**2*(v - 1)*(v + 23)
Let l(s) be the first derivative of -s**5/15 + s**4 - 16*s**3/3 - 31*s**2/2 - 35. Let j(t) be the second derivative of l(t). Find m, given that j(m) = 0.
2, 4
Suppose -p + 8 = 4*q + 2, 4*p = -3*q + 11. Suppose j = -16 + 19. Factor -4*s + 2*s**3 + 2 - 6*s + j*s + s**p + 2*s.
(s - 1)*(s + 2)*(2*s - 1)
Let j(l) be the third derivative of -l**7/210 + 13*l**6/30 - 47*l**5/5 - 364*l**4/3 - 1568*l**3/3 - 64*l**2. Find k, given that j(k) = 0.
-2, 28
Let z = 11685 - 11681. Factor 3/2*b + 0 - 3/4*b**z - 3/4*b**5 + 9/4*b**3 + 15/4*b**2.
-3*b*(b - 2)*(b + 1)**3/4
Let m(z) be the first derivative of -2*z**3/27 + 2*z**2/9 + 2*z/3 - 154. What is d in m(d) = 0?
-1, 3
Let k(a) be the first derivative of a**5/5 - a**3/3 - a**2/2 - 9. Let b(m) = -20*m**4 + 5*m**3 + 50*m**2 - 50*m + 30. Let c(v) = b(v) + 15*k(v). Solve c(w) = 0.
-3, 1, 2
Let g(q) be the first derivative of -q**3 + 81*q**2/2 - 78*q - 133. Let g(s) = 0. What is s?
1, 26
Suppose -4*h**4 + 97/4*h**3 + 95*h - 50 - 139/2*h**2 + 1/4*h**5 = 0. Calculate h.
2, 5
Let m(y) be the third derivative of -1/504*y**8 + 0*y + 1/35*y**7 + 28/45*y**5 - 8/45*y**6 - 4/3*y**4 + 0 - 6*y**2 + 16/9*y**3. Solve m(n) = 0 for n.
1, 2
Let n(y) be the second derivative of -y**7/168 + y**6/120 + 3*y**5/80 - 5*y**4/48 + y**3/12 + 15*y - 1. Suppose n(k) = 0. Calculate k.
-2, 0, 1
Factor 33*n + 351*n**2 - n**4 + 529 + 13*n - 67*n**3 - 879*n**2 + 21*n**3.
-(n - 1)*(n + 1)*(n + 23)**2
Let t(k) be the first derivative of k**7/231 - k**6/55 + k**5/55 + 17*k - 15. Let x(s) be the first derivative of t(s). Factor x(q).
2*q**3*(q - 2)*(q - 1)/11
Let t(p) = 2*p**2 - 5. Let q be t(-3). Determine j, given that 2*j - j - 3*j**3 - 7*j + 22*j**2 - q*j**2 = 0.
0, 1, 2
Let -21*h**3 + 18*h**2 + 4*h - 29*h**3 - 72 + 4*h + 48*h**3 = 0. What is h?
-2, 2, 9
Determine c so that -9 - 10*c**2 - 39/2*c + 1/2*c**5 + 3*c**4 + 3*c**3 = 0.
-3, -1, 2
Let i(j) be the second derivative of -2/5*j**5 + 0*j**2 - 1/15*j**6 - 5/6*j**4 - 13*j + 0 - 2/3*j**3. What is h in i(h) = 0?
-2, -1, 0
Solve -1/3*h**5 + 0 - 68/3*h**4 - 65/3*h - 196/3*h**2 - 66*h**3 = 0.
-65, -1, 0
Let x be (-3 + 0)/(-9) - (-154)/6. Let t = -103/4 + x. Solve -1/4*i**3 + 0 + 0*i + t*i**2 = 0.
0, 1
Let n(j) be the first derivative of -32/11*j - 18/55*j**5 - 386/33*j**3 + 5 - 39/11*j**4 - 104/11*j**2. Factor n(v).
-2*(v + 4)**2*(3*v + 1)**2/11
Let g be (-572)/(-130) - (12/(-5))/(-2). Let b(l) be the first derivative of 0*l**3 - 1 + l**4 - g*l**5 + 0*l + 0*l**2. Find o, given that b(o) = 0.
0, 1/4
Let a = -3 - -8. Let c(n) = 1 + 8*n**4 + 12*n - 4*n**4 - 6*n**2 + 0 - a. Let b(k) = 5*k**4 + k**3 - 6*k**2 + 13*k - 4. Let j(h) = -2*b(h) + 3*c(h). Factor j(r).
2*(r - 1)**3*(r + 2)
Let a = -4712 - -89530/19. Factor a*v**2 + 0 - 14/19*v.
2*v*(v - 7)/19
Let m(x) be the second derivative of x**8/5040 + x**7/1260 + 17*x**3/3 - 36*x. Let n(o) be the second derivative of m(o). Factor n(q).
q**3*(q + 2)/3
Let s(k) be the first derivative of -2*k**5/11 + 9*k**4/22 - 2*k**3/11 - k**2/11 + 49. Factor s(z).
-2*z*(z - 1)**2*(5*z + 1)/11
Let u(l) be the third derivative of l**5/16 + 43*l**4/96 - l**3/4 - 85*l**2. Factor u(b).
(b + 3)*(15*b - 2)/4
Let v(r) = r - 10. Suppose -5 = 2*g - 33. Let c be v(g). Solve -3*t**3 + c*t + 3*t**2 - 3*t**4 - 2*t + t = 0 for t.
-1, 0, 1
Let z(i) = -19*i**2 + 134*i - 5. Let t be z(7). Let 1/2*v - 1/4*v**t + 1/4*v**4 - 1/2*v**3 + 0 = 0. Calculate v.
-1, 0, 1, 2
Let y(c) = -14*c**2 + 144*c - 888. Let n(q) = 5*q**2 - 48*q + 297. Let v(j) = -8*n(j) - 3*y(j). Determine z so that v(z) = 0.
12
Let r(k) = -k**3 - 3*k - 4. Let j be r(-2). Factor -19*q**3 + 4*q**4 - 3*q**5 + j*q**3 + q**4 + 4*q**4 + 3*q**2.
-3*q**2*(q - 1)**3
Let n be (2/6)/(20 + -7 - -42). Let b(p) be the second derivative of 3/11*p**4 + 7/110*p**5 + 8/11*p**2 + 20/33*p**3 + n*p**6 + 7*p + 0. Solve b(q) = 0.
-2, -1
Let t(z) be the third derivative of -z**5/4 + 19*z**4/4 + 8*z**3 + 2*z**2 - 1. Solve t(c) = 0.
-2/5, 8
Solve -9/2 - 1/4*j**2 - 19/4*j = 0 for j.
-18, -1
Suppose -7*w**3 - 104*w**2 - 22 + 6*w + 74 - w**3 + 4*w**5 + 52*w**4 - 2*w = 0. What is w?
-13, -1, 1
Let u be 7 + -9 - (-6 + 1)*34. Let x be 1/14 - (-72)/u. Factor 0 - x*b**2 + b - 1/2*b**3.
-b*(b - 1)*(b + 2)/2
Let s be 1/(((-2)/(-10))/(9/90)). Let d(j) = 3*j. Let b be d(1). What is v in v**2 + 0 - s*v - 1/2*v**b = 0?
0, 1
Let t = -30428/9 + 3381. Factor 0*z**3 - 1/9*z**4 + t*z**2 + 0 + 0*z.
-z**2*(z - 1)*(z + 1)/9
Let h(j) be the second derivative of -j**7/84 + 3*j**6/40 - 9*j**5/80 - j**4/48 + j**3/8 + 5*j - 3. Determine m so that h(m) = 0.
-1/2, 0, 1, 3
Suppose 0 = 5*c + 119 + 521. Let m = -638/5 - c. Factor 2/5 - m*x**2 + 0*x.
-2*(x - 1)*(x + 1)/5
Let s(a) be the first derivative of a**4/30 - 2*a**3/3 + 9*a**2/5 - 26*a/15 - 457. Suppose s(d) = 0. What is d?
1, 13
Let x(v) be the third derivative of 0*v + 1/12*v**6 + 0*v**3 - v**2 - 1/12*v**5 + 0 - 1/42*v**7 + 0*v**4. Factor x(j).
-5*j**2*(j - 1)**2
Solve 46*k**4 - 20 - 8*k**4 - 23*k**2 + 180*k**3 + 22*k**4 + 25*k**4 - 180*k - 42*k**2 = 0.
-2, -1, -2/17, 1
Let p(y) be the second derivative of 1/9*y**3 + 0*y**2 + 0 + 6*y + 1/18*y**4. Determine o, given that p(o) = 0.
-1, 0
Let d(v) = 3*v**3 + 3*v**2 + 17*v + 17. Let y(i) = i**3 + i**2 + 7*i + 6. Let f(j) = -3*d(j) + 8*y(j). Factor f(k).
-(k - 1)**2*(k + 3)
Let o(g) = -3*g**2 + 13*g + 22. Let d(c) = 24*c**2 - 105*c - 174. Let j(t) = -4*d(t) - 33*o(t). Factor j(v).
3*(v - 5)*(v + 2)
Let a(w) be the third derivative of -w**6/220 + 5*w**5/33 - 8*w**4/33 - 9*w**2 + 9*w. Factor a(m).
-2*m*(m - 16)*(3*m - 2)/11
Let j(i) = i**2 + 4*i + 3. Let o be j(-4). Suppose -10 = -5*p + 5*t, 4*p + 2*t - 2 = 6. Factor p*r**3 + 3 + r**3 - 3*r**2 + 1 - 4*r**o.
-(r - 1)*(r + 2)**2
Suppose -841 = -a - 4*a + z, z + 673 = 4*a. Let b = 1850/11 - a. Factor 4/11*o - b*o**2 - 2/11.
-2*(o - 1)**2/11
Suppose -2*b + 297 = b. Let y = b + -492/5. Determine p, given that 3/5*p**4 - 3/5*p**2