 - 60*b**2 + 7 - 4 - 3 = 0.
-3/10, 0
Suppose 63*x + 92 - 455*x**2 + 89*x - 169*x**3 - 104 = 0. Calculate x.
-3, 2/13
Find s such that -17/5 - 1/5*s**4 - 16/5*s + 16/5*s**3 + 18/5*s**2 = 0.
-1, 1, 17
Suppose 287*c = 375*c. Factor c - 21/2*f**2 + 3*f.
-3*f*(7*f - 2)/2
Suppose 8*u - 3*q = 4*u + 37, -7 = -u + 3*q. Suppose -u = -5*i - 0. Factor -2/3*a**i + 0*a + 7/3*a**4 + 5/3*a**3 + 0.
a**2*(a + 1)*(7*a - 2)/3
Let d(h) be the second derivative of h**7/105 + h**6/15 + h**5/50 - 13*h**4/30 - 2*h**3/15 + 8*h**2/5 - 170*h. Find s, given that d(s) = 0.
-4, -2, -1, 1
Let h = 3023 - 9064/3. Factor 5*y**3 - 25/6*y**4 + h*y**2 - 35/6*y + 5/6*y**5 + 5/2.
5*(y - 3)*(y - 1)**3*(y + 1)/6
Let v(f) = -f**2 + 1. Let j(p) = -p**2 + 9*p - 12. Let n be j(8). Let w(b) = 12*b + 4. Let s(t) = n*v(t) + w(t). Factor s(z).
4*z*(z + 3)
Suppose 0 = 14*x - 19*x + 30. Let -116*h**2 + 112*h**2 + h**3 - 3*h**3 + x*h = 0. What is h?
-3, 0, 1
Let a(j) be the third derivative of j**8/616 - j**6/110 + j**4/44 - 42*j**2 + 2. Solve a(f) = 0.
-1, 0, 1
Let d(q) be the third derivative of -7*q**6/180 + 62*q**5/45 + 169*q**4/36 + 38*q**3/9 - 223*q**2 - 2*q. Suppose d(k) = 0. What is k?
-1, -2/7, 19
Let f(p) be the second derivative of 0*p**2 + 1/190*p**5 + 0 - 8*p - 2/57*p**3 - 1/114*p**4. Find r such that f(r) = 0.
-1, 0, 2
Let v(q) = q**2 + 6*q + 8. Let x be v(-4). Suppose 0 = -3*z - 2*g + 14, 0 = 4*z - 2*g + 4*g - 16. Let -2/15*u**z + x + 4/15*u = 0. What is u?
0, 2
Let s(z) be the second derivative of 0 - 1/5*z**5 + 1/30*z**6 + 1/2*z**2 + 30*z + 1/2*z**4 - 2/3*z**3. Let s(j) = 0. What is j?
1
Let u(o) be the second derivative of -2*o**6/15 - 6*o**5/5 + 9*o**4 + 72*o**3 - 648*o**2 - 16*o. Factor u(m).
-4*(m - 3)**2*(m + 6)**2
What is l in -4 - 26/7*l + 2/7*l**2 = 0?
-1, 14
Suppose -4*t = 3*u - 4 + 2, 4*u = -3*t + 5. What is s in -26*s**2 - 25*s**2 + 54*s**u = 0?
0
Let f(n) = -3*n**2 - n + 2. Let b(k) = -13*k**2 + 19*k - 80. Let d(x) = -b(x) + 5*f(x). Solve d(t) = 0.
-15, 3
Let z be (4/(-12))/(2/(-12)). Factor -7 + 14 - 5 - z*w**2.
-2*(w - 1)*(w + 1)
Let y(z) be the third derivative of 1/75*z**5 + 0*z**6 - 1/60*z**4 + 1/840*z**8 + 0*z + 12*z**2 - 2/525*z**7 + 0*z**3 + 0. Solve y(x) = 0.
-1, 0, 1
Suppose 0 = 3*c + 3*d + 9, 56*c - 2*d = 57*c + 5. Let t(k) = 4*k**2 - 6*k + 9. Let g(a) = -2*a + 2*a - a. Let u(w) = c*t(w) - 6*g(w). Factor u(q).
-(2*q - 3)**2
Let f(s) be the third derivative of 0 + 0*s**3 + 0*s**4 - 1/40*s**6 + 28*s**2 - 1/210*s**7 - 1/30*s**5 + 0*s. Solve f(a) = 0.
-2, -1, 0
Factor -22/3 + 20/3*l + 2/3*l**2.
2*(l - 1)*(l + 11)/3
Let d(k) be the first derivative of k**5/24 - 5*k**4/8 + 15*k**3/4 + 39*k**2/2 + 40. Let h(z) be the second derivative of d(z). Factor h(q).
5*(q - 3)**2/2
Suppose -138*b**2 - 31*b + 278*b**2 - 199*b - 90*b - 144*b**2 = 0. Calculate b.
-80, 0
Let f(n) be the third derivative of -5*n**8/1176 - 4*n**7/245 + n**6/420 + 2*n**5/35 + n**4/21 + 23*n**2 + 1. Suppose f(z) = 0. Calculate z.
-2, -1, -2/5, 0, 1
Let y(c) be the third derivative of -c**6/420 + c**5/70 + c**4/21 - 18*c**2 - 2. Solve y(x) = 0.
-1, 0, 4
Let c(g) be the first derivative of -1/12*g**4 - 4 + 0*g + 0*g**3 - 1/20*g**6 - 2/15*g**5 + 3/2*g**2. Let z(v) be the second derivative of c(v). Factor z(x).
-2*x*(x + 1)*(3*x + 1)
Let g(r) = -20*r**4 - 35*r**3 - 55*r**2 + 35*r - 25. Let t(k) = -3*k**4 - 6*k**3 - 9*k**2 + 6*k - 4. Let b(m) = 4*g(m) - 25*t(m). Factor b(q).
-5*q*(q - 2)*(q - 1)*(q + 1)
Suppose 200/13*d + 2/13*d**5 - 202/13*d**3 + 164/13*d**2 - 16 + 44/13*d**4 = 0. Calculate d.
-26, -1, 1, 2
Let f(l) = 18*l**3 - 12*l**2 - 6*l + 7. Let c(h) = 16*h**3 - 12*h**2 - 4*h + 6. Let u(x) = -7*c(x) + 6*f(x). Find q, given that u(q) = 0.
0, 1, 2
Suppose 0 = -5*j + 2 + 18. Suppose -4*l + 3*l - 26 = -5*y, 0 = -y + j*l + 9. Factor 2*i + 4*i**2 + 2/5*i**y + 2/5 + 4*i**3 + 2*i**4.
2*(i + 1)**5/5
Let j be (-24)/(-9) + 16/(-6) + 4. Let l(v) be the second derivative of -1/6*v**j + 0 + 3*v + 2/3*v**2 - 5/9*v**3. Factor l(i).
-2*(i + 2)*(3*i - 1)/3
Let j(l) = -l**3 - 11*l**2 - 8*l + 24. Let i be j(-10). Solve u**3 - 101*u**3 + 20*u**3 - 3*u**5 - 106*u**3 + 189*u - 51*u**i + 294*u**2 - 243 = 0.
-9, -1, 1
Let x(d) be the first derivative of -9/4*d**4 + 3 + 6*d + 15/2*d**2 - 4*d**3. Let x(w) = 0. Calculate w.
-2, -1/3, 1
Let w(k) be the third derivative of -k**7/140 - 3*k**6/40 - 11*k**5/40 - 3*k**4/8 - 19*k**2. Find a such that w(a) = 0.
-3, -2, -1, 0
Let p(g) be the second derivative of g**5/10 + 37*g**4/6 - 77*g**3/3 + 39*g**2 + 516*g. Suppose p(l) = 0. Calculate l.
-39, 1
Suppose -8/3*k**2 + 0 + 2/3*k**4 - 17/6*k**3 + 5/6*k = 0. Calculate k.
-1, 0, 1/4, 5
Let v(p) = 16*p - 80. Let b be v(5). Let o(i) be the third derivative of 1/30*i**5 + b*i + 0*i**3 + 0 - 1/12*i**4 - 4*i**2. Factor o(x).
2*x*(x - 1)
Let g be 71 + (-5 - -1 - -9). Suppose -g*k + 78*k - 6 = 0. Factor 9/5*r**k + 3/5*r**4 + 9/5*r**2 + 0 + 3/5*r.
3*r*(r + 1)**3/5
Suppose t = 3*v - 3*t - 384, -5*v = -2*t - 654. Let z be -4 - (-6 - v/(-90)). Let -8/15*g + z - 2/15*g**2 + 2/15*g**3 = 0. What is g?
-2, 1, 2
Let m(d) be the first derivative of 2*d**6/9 + 2*d**5/5 - 5*d**4/6 - 10*d**3/9 + d**2 + 4*d/3 + 555. Find j, given that m(j) = 0.
-2, -1, -1/2, 1
Let z = -10525 + 1473509/140. Let f(l) be the third derivative of 4*l**2 + 1/8*l**4 + 0*l**3 + 0*l + 1/4*l**6 - 13/40*l**5 - z*l**7 + 0. Factor f(d).
-3*d*(d - 1)**2*(9*d - 2)/2
Factor -1/12*o**2 + 103/6*o - 10609/12.
-(o - 103)**2/12
Let c = -33 - -45. Let p be 15/35 - (c/(-14) - -1). Let 2/7*j**2 + p*j**3 + 0 - 2/7*j**5 + 0*j - 2/7*j**4 = 0. Calculate j.
-1, 0, 1
Let k(y) be the second derivative of -y**5/24 + 5*y**4/24 - 5*y**3/18 - 9*y - 2. Factor k(m).
-5*m*(m - 2)*(m - 1)/6
Let k(u) be the first derivative of 4*u**3/9 + 110*u**2/3 + 72*u - 314. Find q, given that k(q) = 0.
-54, -1
Factor 0 + 0*k - 6/11*k**3 - 4/11*k**2 - 2/11*k**4.
-2*k**2*(k + 1)*(k + 2)/11
Let f(s) = -3*s**3 - 35*s**2 + 27*s + 11. Let c = 66 - 55. Let n(t) = 2*t**3 + 18*t**2 - 14*t - 6. Let k(r) = c*n(r) + 6*f(r). Determine i, given that k(i) = 0.
0, 1, 2
Let i(u) = 2*u**2 - 20*u + 25. Let h(y) = -y**2 + 20*y - 25. Let o(a) = -7*h(a) - 6*i(a). Factor o(p).
-5*(p - 1)*(p + 5)
Let t(v) be the third derivative of v**5/270 + v**4/54 - 7*v**3/3 + v**2 + 24*v. Let t(c) = 0. What is c?
-9, 7
Find w such that -2/3*w**3 - 34/9*w + 4/3 - 2/9*w**4 + 10/3*w**2 = 0.
-6, 1
Let y(b) = -26*b**4 - 89*b**3 - 152*b**2 + 19*b + 197. Let s(a) = 9*a**4 + 30*a**3 + 51*a**2 - 6*a - 66. Let f(w) = -17*s(w) - 6*y(w). Factor f(o).
3*(o - 1)*(o + 2)**2*(o + 5)
Factor -191 - 75 + 4*y**2 + 34 - 228*y.
4*(y - 58)*(y + 1)
Suppose 0 = -r - 2, -10 = -4*t - 2*r + 2. Solve -5 - 15*n**3 - 8*n - 12*n - 5*n**3 + 17*n**t - 22*n**4 - 30*n**2 = 0 for n.
-1
Suppose 0 = -4*r - 2*m + 24, -2*m - 59 = 2*r - 77. Find l such that 0 + 0*l + 9/2*l**2 + 3/4*l**r = 0.
-6, 0
Let u = -37 + 40. Factor 7*n**u + 10*n + 0*n**3 + 15*n**2 - 2*n**3.
5*n*(n + 1)*(n + 2)
What is b in 70*b**2 + 349*b**3 - 346*b**3 - 190*b**2 + 1200*b = 0?
0, 20
Suppose 0 = -5*u + i + 24, -3*i = 3*u - 0*i. Suppose 5*q - 275*q**3 + q**4 + 3*q - 18*q**5 + 2*q**u + 36*q**2 + 321*q**3 = 0. Calculate q.
-2/3, -1/2, 0, 2
Let b = 1627/3 + -542. Let z(j) be the third derivative of -b*j**4 + 0 + 0*j**3 + 8*j**2 - 11/15*j**5 + 0*j. Factor z(h).
-4*h*(11*h + 2)
Let a be (-3 - (-385)/120)/(20/8). Let h(w) be the third derivative of 0*w + 7*w**2 + 0 - 1/60*w**5 + 1/2*w**3 - a*w**4. Factor h(n).
-(n - 1)*(n + 3)
Let j = 5 - 0. What is p in -j*p**2 + 74*p - 62*p + 2*p**2 = 0?
0, 4
Let k(s) = s. Let z be k(5). Let g(a) be the first derivative of z + 0*a**2 + 0*a - 1/4*a**3. Factor g(x).
-3*x**2/4
Let y(d) be the first derivative of d**4/8 + d**3/6 - d**2/4 - d/2 - 207. Let y(z) = 0. Calculate z.
-1, 1
Let k = 1532 - 6127/4. Factor 0 + k*p**2 + 1/8*p + 1/8*p**3.
p*(p + 1)**2/8
Let l be 24/7 - 15/35. Suppose -l*b - 2*f + 24 = b, -3*f - 6 = -b. Let 10*p**2 - 7*p**2 - b*p**2 = 0. What is p?
0
Let v(q) = -52 - 28*q**2 + 66*q**2 - 65*q - 28*q**2 + 227. Let t(c) = -9*c**2 + 64*c - 176. Let s(l) = -5*t(l) - 4*v(l). Determine d so that s(d) = 0.
6
Suppose 2*x - 25 = 3*b + 2*b, 4*b + 14 = x. Suppose 2*j = -3*v + 5*v - x, -2*j + 10 = 2*v. Factor j - 1/9*u**3 - 1/9*u**2 + 2/9*u.
-u*(u - 1)*(u + 2)/9
Suppose 123*y - 114*y - 27 = 0.