 + 1)
Factor 4*n**2 - 10*n + 12*n**3 + 4*n**4 - 12*n**2 + 17 - 49 - 38*n.
4*(n - 2)*(n + 1)*(n + 2)**2
Let r(h) be the first derivative of 0*h - h**2 - 9/5*h**5 - 7/2*h**4 - 3*h**3 - 4 - 1/3*h**6. What is m in r(m) = 0?
-2, -1, -1/2, 0
Factor 4*n - 4*n**2 + n**2 - 3*n + 5*n**2.
n*(2*n + 1)
Let q = -24034/7 + 3452. Suppose -8/7*n**5 + 16/7 - q*n**3 - 24/7*n - 54/7*n**4 - 124/7*n**2 = 0. What is n?
-2, -1, 1/4
Let i be 0 + 2/(-6)*-1. Suppose 0 = -n + 7 - 5. Factor -i*w - 1/3*w**n + 0.
-w*(w + 1)/3
Let r(y) be the third derivative of y**8/112 - y**7/35 + y**5/10 - y**4/8 - 4*y**2. Factor r(i).
3*i*(i - 1)**3*(i + 1)
Suppose -h - 4 = -10. Let x(w) = -w**2 + 7*w - 4. Let u be x(h). What is f in -9*f + f + 5*f**2 + u + f = 0?
2/5, 1
Let z(v) = v**2 - 4. Let x be z(-3). Let d = x + -2. Let 3*t - 3*t + 2*t + 2*t**5 - 4*t**d = 0. Calculate t.
-1, 0, 1
Find q, given that 7*q + 9*q**2 - 6 + 2*q + 6*q + 0 = 0.
-2, 1/3
Factor -3/2*f - 1/2*f**4 + 0 + 5/2*f**2 - 1/2*f**3.
-f*(f - 1)**2*(f + 3)/2
Let c(b) be the first derivative of -b**7/840 - b**6/40 - 9*b**5/40 - 9*b**4/8 + 7*b**3/3 - 6. Let u(k) be the third derivative of c(k). Factor u(g).
-(g + 3)**3
Let w(a) be the first derivative of a**6/480 + a**5/160 + 4*a**3/3 + 1. Let n(p) be the third derivative of w(p). Solve n(t) = 0.
-1, 0
Suppose -20*l + 21*l - 4*l**3 - 13*l + 16*l**2 = 0. What is l?
0, 1, 3
Suppose -3*s - 1 = w, 2*s + 0*w = w + 1. Suppose 0*k**3 + 2/5*k - 8/5*k**4 + s + 6/5*k**2 = 0. What is k?
-1/2, 0, 1
Let t be ((-5)/(875/20))/((-6)/15). Suppose -4/7*q**4 - 10/7*q**3 - t*q + 0 - 8/7*q**2 = 0. What is q?
-1, -1/2, 0
Let h(u) be the first derivative of u**7/945 - u**6/180 + u**5/270 + u**4/36 - 2*u**3/27 + 3*u**2 + 4. Let m(a) be the second derivative of h(a). Factor m(w).
2*(w - 2)*(w - 1)**2*(w + 1)/9
Let v = 8 - 6. Let k be v*(4 + -3) + 1. What is m in -13*m**4 + m**2 + 2*m + 12*m**4 + 0*m**k - 2*m**3 = 0?
-2, -1, 0, 1
Factor 4/13*z**3 + 0*z + 0 - 2/13*z**2 - 2/13*z**4.
-2*z**2*(z - 1)**2/13
Let g(x) = x**4 - x**3 - x**2 + x - 1. Let t(v) = 256*v**4 - 1181*v**3 + 1164*v**2 - 430*v + 50. Let c(r) = -30*g(r) + 5*t(r). Determine w, given that c(w) = 0.
2/5, 7/2
Factor -8*c**2 - 10*c**3 - 12*c**3 - 5*c**5 - 7*c + 4*c - 18*c**4 + 2 + 6*c.
-(c + 1)**4*(5*c - 2)
Factor -12*s + 26 - 18 - 3*s**2 - s**2 - 4*s**4 + 12*s**3.
-4*(s - 2)*(s - 1)**2*(s + 1)
Suppose 0 = -3*u + 5*q + 35, 4*u + 6*q - 32 = 9*q. Find t, given that 1/2 + t**3 - 1/2*t - 1/2*t**u - t**2 + 1/2*t**4 = 0.
-1, 1
Let i(p) be the first derivative of -4*p**3/9 - 4*p**2/3 + 7. Suppose i(o) = 0. What is o?
-2, 0
Suppose c**4 - 8*c**3 + 3*c**2 + 8*c - 7*c**2 + 3*c**4 = 0. Calculate c.
-1, 0, 1, 2
Let p(k) be the first derivative of -1 + 2/15*k**3 + 2/5*k + 2/5*k**2. Determine g so that p(g) = 0.
-1
Suppose 11 - 31 = -5*d. Solve 0 - o**2 + 1/2*o**5 + 0*o**3 + o**d - 1/2*o = 0 for o.
-1, 0, 1
Let c = 15 - 13. Let s(y) be the first derivative of 1/4*y**6 - 2 + 0*y**c + 0*y + 1/8*y**4 - 1/2*y**5 + 1/6*y**3. Determine g, given that s(g) = 0.
-1/3, 0, 1
Let a(t) = 7*t**2 - 12*t + 3. Let b(w) = w - 6. Let j be b(9). Let f(k) = -36*k**2 + 60*k - 16. Let m(y) = j*f(y) + 16*a(y). Factor m(z).
4*z*(z - 3)
Let j(l) = -3*l**4 - 25*l**3 + 145*l**2 - 255*l + 5. Let r(g) = 2*g**4 + 12*g**3 - 72*g**2 + 128*g - 3. Let n(b) = -3*j(b) - 5*r(b). What is o in n(o) = 0?
0, 5
Solve 3/4*g**3 + g**2 - g + 0 = 0.
-2, 0, 2/3
Suppose 0 = -o - 5 + 17. Suppose -3*v = -5*v + o. Determine t, given that -1 + v*t**2 - 1 + 4*t - 8*t**2 = 0.
1
Let x(n) = 27*n**2 - 27*n - 24. Let g be (0 - 3/(-1)) + 1. Let m(a) = 6*a**2 - 3*a**2 + 1 + g*a**2 - 7*a - 7. Let r(y) = 15*m(y) - 4*x(y). Factor r(q).
-3*(q - 2)*(q + 1)
Let z(i) be the third derivative of 2*i**7/35 - 11*i**6/30 + 8*i**5/15 + 2*i**4/3 - 19*i**2. What is f in z(f) = 0?
-1/3, 0, 2
Let n(c) be the first derivative of -c**4/5 - 16*c**3/15 - 8*c**2/5 + 9. Suppose n(y) = 0. What is y?
-2, 0
Let r = 1612/8085 + 1/1617. Determine f, given that -2/5*f - r*f**2 + 0 = 0.
-2, 0
Let m = 3 + 3. Determine r, given that m*r + 2*r**2 - 2 - 4*r + 2 = 0.
-1, 0
Let j(h) = 4*h**2 - 8*h + 4. Let m(p) = -p**3 + p**2 + p - 1. Let s(a) = -j(a) - 4*m(a). Suppose s(g) = 0. Calculate g.
0, 1
Let u(o) be the first derivative of 0*o**3 + 0*o - 3*o**4 - o**6 + 16/5*o**5 + o**2 - 4. Factor u(k).
-2*k*(k - 1)**3*(3*k + 1)
Let y(i) = -9*i - 16. Let d be y(-2). Factor -4/7 + 10/7*f + 6/7*f**d.
2*(f + 2)*(3*f - 1)/7
Let a(b) be the second derivative of 0 + 3*b + 1/25*b**6 + 1/30*b**4 + 0*b**3 - 3/35*b**7 + 0*b**2 + 1/10*b**5. Factor a(r).
-2*r**2*(r - 1)*(3*r + 1)**2/5
Suppose 0 = v + 5*w - 11, -3*v - v + 44 = -5*w. Let n = v + -8. Factor 1 - 9*q**2 + n + 37*q**2 + 22*q.
2*(2*q + 1)*(7*q + 2)
Suppose -5 = 3*h + 4. Let a be -1*(-2 + h/3). Factor -14/3*c - 2*c**a - 16/3*c**2 - 4/3.
-2*(c + 1)**2*(3*c + 2)/3
Let f(b) = 76*b**3 - 157*b**2 + 113*b - 24. Let v(w) = w**3 - w**2 - w. Let j = -15 - -14. Let q(d) = j*f(d) - 5*v(d). Factor q(c).
-3*(3*c - 2)**3
Let j(c) be the third derivative of c**6/540 + c**5/54 + 38*c**2. Factor j(d).
2*d**2*(d + 5)/9
Let k(y) be the third derivative of y**6/660 + y**5/330 - y**4/132 - y**3/33 - 8*y**2. Suppose k(l) = 0. Calculate l.
-1, 1
Let g be 10/(-12)*(44/20 + -3). Solve -3*q**2 - 11/3*q - g = 0 for q.
-1, -2/9
Let s be 90/(-125)*10/(-6). Factor 0 - s*b + 3/5*b**2.
3*b*(b - 2)/5
Let i = -133/5 - -27. Factor i*o**2 + 0 + 4/5*o.
2*o*(o + 2)/5
Factor -3/7*y**3 + 0*y + 0 - 6/7*y**2.
-3*y**2*(y + 2)/7
Let a(z) be the second derivative of z**6/10 - 9*z**5/20 + 3*z**4/4 - z**3/2 - 11*z. What is q in a(q) = 0?
0, 1
Suppose 2*f - 5*h - 28 = 0, 2*f - 5*h - 16 = -3*h. Let v(l) = -l**2 - 5*l - 2. Let w be v(-2). Factor o - o**2 - 2 + 2 + o**w + 0*o**f - o**3.
o*(o - 1)**2*(o + 1)
Suppose -w - 3 + 2 = -2*j, 0 = 2*w - 2*j. Let o(d) = 4*d**2 + 4*d + 7. Let q(y) = y**2 + y + 1. Let m(r) = w*o(r) - 5*q(r). Factor m(i).
-(i - 1)*(i + 2)
Let x(w) = 8*w**5 - 11*w**4 + 4*w**3 + 2*w**2 - 5*w - 5. Let a(c) = -c**5 + c**4 + 1. Let d be (-85)/6 + 17/102. Let j(z) = d*a(z) - 2*x(z). Factor j(f).
-2*(f - 2)*(f - 1)**3*(f + 1)
Let w(p) = -p**2 + 7*p - 6. Let o be w(5). Factor -10*f + 6 - o*f + 5*f - 4*f - 5*f**2.
-(f + 3)*(5*f - 2)
Let g(t) be the second derivative of t**10/3240 + t**9/7560 - t**8/5040 + t**4/12 - 5*t. Let r(a) be the third derivative of g(a). Factor r(f).
2*f**3*(2*f + 1)*(7*f - 2)/3
Let 2*s - 41*s**4 + 55*s**4 + 18*s**3 - 10*s - 24*s**2 = 0. Calculate s.
-2, -2/7, 0, 1
Let m(f) be the second derivative of f**5/100 + 7*f**4/60 + 8*f**3/15 + 6*f**2/5 - 6*f. Determine c, given that m(c) = 0.
-3, -2
Let -3/4*t**2 + 0 - 9/4*t = 0. What is t?
-3, 0
Let x(r) = -r + 8. Let o be x(5). Factor -4/9*n**4 + 0 + 4/9*n**2 + 0*n**o + 2/9*n**5 - 2/9*n.
2*n*(n - 1)**3*(n + 1)/9
Let k(g) be the third derivative of g**7/945 - g**6/108 + g**5/30 - 7*g**4/108 + 2*g**3/27 + 10*g**2. Suppose k(j) = 0. What is j?
1, 2
Let j(p) be the third derivative of -p**8/1680 + 2*p**7/525 - p**6/150 - 3*p**2 + 2*p. Factor j(d).
-d**3*(d - 2)**2/5
Let x be (-28)/21*(-6)/4. Factor -d**5 - 25*d - x*d**4 + 26*d + 0*d**5 + 2*d**2 + 0*d**5.
-d*(d - 1)*(d + 1)**3
Suppose q + 4 = 5*c, -4*c - q - 4 = -0. Factor -5*d**3 + 6 - 14 + c*d**3 - 66*d**2 - 44*d + 25*d**4 + 0*d.
(d - 2)*(d + 1)*(5*d + 2)**2
Let b(t) be the second derivative of 1/1440*t**6 - 1/240*t**5 + 2*t - 1/2*t**3 + 0*t**4 + 0 + 0*t**2. Let a(v) be the second derivative of b(v). Factor a(i).
i*(i - 2)/4
Let g(a) be the third derivative of -a**6/540 + a**5/270 + a**4/108 - a**3/27 + 5*a**2. Determine l, given that g(l) = 0.
-1, 1
Suppose 1 = 2*d - 3. Factor 3*q - 7*q + 5*q**d - 6*q - 3*q**2 + 2*q**3 + 6.
2*(q - 1)**2*(q + 3)
Suppose 0 = -4*r + b - 5, -5*r - 20 = -0*b - 4*b. Factor 8*h**2 - h**2 - 3*h - 2 + r - 2*h.
(h - 1)*(7*h + 2)
Suppose 3*s = -s - 4. Let p be -5*(3 - (s + 6)). Factor 14*j + 2 - 1 - p*j - 4 - j**2.
-(j - 3)*(j - 1)
Let k(g) be the second derivative of 1/6*g**4 - 3*g + 0*g**2 + 2/3*g**3 + 0. Factor k(u).
2*u*(u + 2)
Let x(c) = 4*c - 1. Let o be (2 - (-5)/(-2))*-2. Let b be x(o). Let -2/7*v**2 + 0*v - 2/7*v**b + 2/7*v**4 + 2/7*v**5 + 0 = 0. Calculate v.
-1, 0, 1
What is g in 0*g - 4/3*g**5 - 8/3*g**4 + 8/3*g**2 + 0 + 4/3*g**3 = 0?
-2, -1, 0, 1
Let p(n) = -1 + 3*n**2 + n**2 - 6*n - 13*n**2.