.
4*(x - 4)*(x + 1)
Let i = 14 + -12. Suppose 7*h - 12 = i. Factor l**2 + 84 - 5*l**h + 3*l - 83.
-(l - 1)*(4*l + 1)
Let o(p) = p. Let c be o(2). Suppose -4 - 2 = -c*g. Solve -t**2 + 6*t + 0 - g - 6 = 0 for t.
3
Let k(r) be the third derivative of 3/80*r**5 + 1/4*r**3 + 0 + 5/32*r**4 + 13*r**2 + 0*r. Factor k(q).
3*(q + 1)*(3*q + 2)/4
Let i = 1318/2635 + -1/5270. Factor 1 - i*b**4 - 1/2*b**2 - 3/2*b + 3/2*b**3.
-(b - 2)*(b - 1)**2*(b + 1)/2
Let c(d) be the third derivative of d**5/210 - 61*d**4/84 + 20*d**3/7 + 322*d**2. Let c(r) = 0. Calculate r.
1, 60
Let h(n) = -n**2 + n. Let v(f) = -4*f**3 + 4*f**2 + 4*f. Let z be (-6)/2*(-4)/12. Let r(g) = z*v(g) - 4*h(g). What is w in r(w) = 0?
0, 2
Let v(y) = -y**2 + 4*y - 1. Let j be v(3). Suppose j*l - 25 = -13. Let -4*s**3 - 10*s**5 + l*s**5 + 8*s**4 + 0*s**4 = 0. Calculate s.
0, 1
Let x(g) be the second derivative of -g**4/20 - 43*g**3/5 - 51*g**2/2 - 149*g. Find t, given that x(t) = 0.
-85, -1
Let t be (-1 + -2)/((-12)/20). Suppose x + 5*n = 24, t = x + n - 3. Factor x - 2*z**2 - 4 + 2*z.
-2*z*(z - 1)
Let t(g) = g**2 + g - 1. Let i(m) = -3*m**2 - 3*m + 2. Let k(n) = -i(n) - t(n). Let u be k(1). Factor 5*r**3 + 2*r**3 + 6*r**2 - 8 - 5*r**u.
2*(r - 1)*(r + 2)**2
Let g = -47 + 53. Suppose g*t**2 - 2*t - t - 8 + 0 + t = 0. Calculate t.
-1, 4/3
Suppose -35 = -5*v - 5*f, -498*v = -500*v - f + 8. Let 5/8*d**5 + 23/4*d**2 + v - 11/8*d**3 - 9/2*d - 3/2*d**4 = 0. Calculate d.
-2, 2/5, 1, 2
Let t be 0*((-1)/(-1))/(-62 - -61). Factor 0*a + 0*a**2 + t + 8/7*a**3 - 10/7*a**5 - 16/7*a**4.
-2*a**3*(a + 2)*(5*a - 2)/7
Let t(a) = -4*a**4 - 39*a**3 + 28*a**2 + 53*a - 24. Let j(h) = 2*h**4 + 19*h**3 - 14*h**2 - 27*h + 12. Let x(g) = 7*j(g) + 4*t(g). What is v in x(v) = 0?
-12, -1, 1/2, 1
Let u(m) be the first derivative of m**3/21 - 3*m**2/14 - 4*m/7 + 417. Determine w, given that u(w) = 0.
-1, 4
Factor -162/7*k**3 - 776/21*k - 176/21 + 18/7*k**4 - 372/7*k**2.
2*(k - 11)*(3*k + 2)**3/21
Let r = 26/45 + -7/90. Factor -5/2*h**2 + 3/2*h**3 - r*h**5 + h + 0 + 1/2*h**4.
-h*(h - 1)**3*(h + 2)/2
Find v, given that -8/3*v - 1/3*v**3 + 0 - 2*v**2 = 0.
-4, -2, 0
Let p = 8276 + -8273. Factor 24*o + 3/2*o**4 + 36*o**2 + 27/2*o**p + 0.
3*o*(o + 1)*(o + 4)**2/2
Let s(k) be the first derivative of 2*k**5/5 - 4*k**3 + 8*k**2 - 6*k - 288. Solve s(a) = 0 for a.
-3, 1
Let q(x) be the second derivative of -10*x**7/21 + 95*x**6/6 - 204*x**5 + 7315*x**4/6 - 8330*x**3/3 - 5145*x**2/2 + 14*x. Find h such that q(h) = 0.
-1/4, 3, 7
Suppose b + 4*q - 4 = 0, 3*b + 2*q + 2 = 4*q. Suppose b = 5*n + 4*n - 36. Suppose -12/5 + 6/5*j**3 + 0*j - 9/5*j**n + 27/5*j**2 = 0. Calculate j.
-1, 2/3, 2
Let m(c) = -c**4 - 3. Let p(t) = 8*t**4 + 3*t**3 - t**2 - 3*t + 21. Let v(h) = 35*m(h) + 5*p(h). Factor v(l).
5*l*(l - 1)*(l + 1)*(l + 3)
Let b(f) = -3*f**4 - 9*f**3 + 21*f**2 - 15*f + 6. Let t(c) = -2*c**4 - 10*c**3 + 22*c**2 - 16*c + 6. Let d(o) = 5*b(o) - 6*t(o). Suppose d(q) = 0. Calculate q.
1, 2
Factor -164*o**3 + 0*o**4 - 10*o**4 + 159*o**3 - 5*o**5.
-5*o**3*(o + 1)**2
Let w(m) be the third derivative of 1/20*m**5 + 47*m**2 + 0*m**3 + 0 + 0*m + 1/4*m**4. Suppose w(k) = 0. Calculate k.
-2, 0
Suppose 47 = -8*w + 63. Let o(x) be the second derivative of -1/3*x**4 + 1/10*x**5 - w*x + 0 + 0*x**2 + 1/3*x**3. Find q, given that o(q) = 0.
0, 1
Let x(a) = -2*a**2 - 832*a + 21637. Let o(n) = 4*n**2 + 1248*n - 32456. Let s(w) = -5*o(w) - 8*x(w). Determine t, given that s(t) = 0.
52
Let p(k) = -2*k**3 - 2*k**2 + 3*k - 2. Let j be p(2). Let w = 20 + j. Suppose -8 + w*i**3 + 9*i + 3*i - 8*i**3 + 12*i**2 = 0. What is i?
-1, 1/2, 2
Let i(f) be the third derivative of -8/5*f**3 + 0*f + 0 - 40*f**2 + 4/15*f**4 - 1/75*f**5. Factor i(d).
-4*(d - 6)*(d - 2)/5
Suppose -3*m - 4*y = -8, -m - 6*y + 2 = -5*y. Let x be 4 + 1 - (1 - 1). Factor 16/3*g**4 + 16/3*g**2 - 8*g**3 + m - 4/3*g**x - 4/3*g.
-4*g*(g - 1)**4/3
Let p(x) = -2*x**2 - 11*x - 8. Let m(f) = 2*f**2 + 10*f + 8. Suppose s + 5 = 0, 2*s = -c + s - 21. Let r = 18 + c. Let o(h) = r*p(h) + 3*m(h). Factor o(k).
2*(k + 2)**2
Let a(m) be the first derivative of -m**4/12 + 4*m**3/9 - 5*m**2/6 + 2*m/3 - 24. Factor a(w).
-(w - 2)*(w - 1)**2/3
Let r = 135 + -132. Let t(p) be the second derivative of -3/2*p**2 - 1/4*p**4 + 0 - 3*p + p**r. Factor t(z).
-3*(z - 1)**2
Let h = 5/178 + 7/1335. Let n(k) be the second derivative of h*k**6 + 1/6*k**3 + 0*k**2 - 6*k + 3/20*k**5 + 0 + 1/4*k**4. Let n(m) = 0. Calculate m.
-1, 0
Let d(t) be the first derivative of t + t**4 + 1 + 2*t**3 + 2*t**2 + 1/5*t**5. Let d(o) = 0. Calculate o.
-1
Suppose 5*g - 70 = 35. Suppose 3*d + 3*h - 24 = 0, -d - 3*h = d - g. Find v such that -9*v + 0*v + d*v**2 + 0*v**2 = 0.
0, 3
Suppose -323*r - 1 = -324*r. Let g(y) be the first derivative of -8/15*y**3 + 1/10*y**4 + r - 4/5*y + y**2. Factor g(u).
2*(u - 2)*(u - 1)**2/5
Let a(u) = 9*u**4 + 8*u**3 - 3*u**2. Let x(d) = 10*d**4 + 8*d**3 - 2*d**2. Let w(p) = -2*a(p) + 3*x(p). Let w(t) = 0. Calculate t.
-2/3, 0
Let q(p) = 15*p**3 + p**2 - 15*p + 4. Let w(f) = -38*f**3 - 2*f**2 + 38*f - 10. Let s(y) = 12*q(y) + 5*w(y). Factor s(m).
-2*(m - 1)*(m + 1)*(5*m - 1)
Let m be (-80)/(-38) + 10/(-95). Let s be 48/(-34)*24/(-18). What is z in -s - 16/17*z - 2/17*z**m = 0?
-4
Let d(k) be the first derivative of -k**6/6 + 7*k**5/5 - k**4/2 - 40*k**3/3 - 145. Determine m so that d(m) = 0.
-2, 0, 4, 5
Let v be 4 - 12*(-2)/(-8) - 1. Let y(w) be the second derivative of v*w**3 + 1/3*w**4 + 0*w**2 + 9*w + 0. Factor y(n).
4*n**2
Let r(o) be the first derivative of -o**3/3 + 2*o**2 - 4*o + 139. Factor r(z).
-(z - 2)**2
Let c(r) = 4 - 10*r**2 + 18*r**2 - 14*r + 0*r**2. Let o = 9 - -2. Let k(j) = 39*j**2 - 71*j + 21. Let x(l) = o*c(l) - 2*k(l). Find n such that x(n) = 0.
1/5, 1
Let n(i) = 10*i**3 - 60*i**2 + 225*i - 250. Let m(q) = -q**3. Let w(o) = -5*m(o) - n(o). Solve w(g) = 0 for g.
2, 5
Suppose 4*o - 4*j = 0, -147*j + 148*j = -2*o + 6. Let p(y) be the second derivative of 15*y + 0*y**o - 1/6*y**3 + 0 + 5/12*y**4. Find s such that p(s) = 0.
0, 1/5
Let z(p) = 7*p**4 + 23*p**3 + 21*p**2 - 5. Let o(l) = -4*l**4 - 11*l**3 - 10*l**2 + 3. Let m(y) = -10*o(y) - 6*z(y). Factor m(b).
-2*b**2*(b + 1)*(b + 13)
Let b = 41 + -34. Let z(k) be the second derivative of -2/45*k**6 + 10*k + 0 - 1/189*k**b - 1/10*k**5 + 0*k**2 - 2/27*k**4 + 0*k**3. Factor z(p).
-2*p**2*(p + 1)**2*(p + 4)/9
Let a(b) = b**2 + b + 4. Let t(x) = 3*x**2 + x + 8. Let c(v) = v**2 - 2*v + 4. Let f be c(4). Suppose f = d + 5*d. Let m(p) = d*t(p) - 5*a(p). Factor m(h).
(h - 4)*(h + 1)
Let r(l) be the second derivative of -15*l + 0*l**2 - 1/10*l**5 + 0*l**4 + 0*l**3 + 0. Factor r(a).
-2*a**3
Find y, given that -24/7*y**3 - 4/7*y**5 + 0*y + 0 + 0*y**2 - 20/7*y**4 = 0.
-3, -2, 0
Let m(j) be the third derivative of j**8/1176 + 6*j**7/245 + 9*j**6/35 + 36*j**5/35 + j**2 - 34*j. Determine f, given that m(f) = 0.
-6, 0
Let s(d) = d**2 - 9*d - 8. Let q be s(10). Suppose 2*f + 3*g + 10 = 1, 3*g + 9 = -4*f. Solve 2/7*y**4 + 0*y**q + f*y - 4/7*y**3 + 0 = 0.
0, 2
Let v = -3449/14280 + 25/102. Let q(m) be the third derivative of 0*m**3 - 7*m**2 - 1/80*m**5 + 0 + 0*m**4 + 0*m - v*m**7 - 1/80*m**6. Factor q(z).
-3*z**2*(z + 1)**2/4
Suppose 29*h = 18 - 18. Let m(q) be the third derivative of h*q + 0*q**3 + 1/300*q**5 - 1/60*q**4 + 0 - 9*q**2. Solve m(f) = 0 for f.
0, 2
Factor -11*b + b**3 - 8*b + 38*b**2 - 56*b**2.
b*(b - 19)*(b + 1)
Find i such that 382*i**2 + 1 - 15*i - 372*i**2 - 5*i**5 - 1 - 10*i**4 + 20*i**3 = 0.
-3, -1, 0, 1
Factor 32/3 + 0*f**3 - 16/3*f**2 + 2/3*f**4 + 0*f.
2*(f - 2)**2*(f + 2)**2/3
Let x(o) = -4*o**5 + 9*o**4 - 8*o**3 + 3*o**2 - 1. Let c(r) = -r**5 + r**3 - 1. Let g(v) = -c(v) + x(v). Factor g(q).
-3*q**2*(q - 1)**3
Find j, given that -3/2*j**3 - 1/2*j**4 + 12*j + 5*j**2 + 0 = 0.
-4, -2, 0, 3
Let b(h) be the first derivative of -h - 1/6*h**3 - 3 + 0*h**2 + 1/12*h**4. Let n(z) be the first derivative of b(z). What is d in n(d) = 0?
0, 1
Let k(m) be the second derivative of -m**7/840 - m**6/30 + m**4 - 25*m. Let r(u) be the third derivative of k(u). Factor r(a).
-3*a*(a + 8)
Let k be 2/((12/(-7))/(-6)). Determine f, given that -27*f - k - 9*f**2 + 17*f**2 + 7*f**2 + 1 = 0.
-1/5, 2
Let r(m) be the second derivative of -m**4/54 - 2*m**3/27 - m**2/9 - 20*m. Determine n, giv