p**2 + 1/96*p**4 + 0 + 1/48*p**3. Let t(l) = 0. Calculate l.
-1, 0
Suppose 0*x = -7*x + 35. Suppose 5*d = -i - 4*i + 45, -x*i + d = -63. Solve -i + 7*q + q**2 + 9*q - 5*q**2 = 0.
1, 3
Solve 11*m**3 + 1/8 + 177/8*m**2 + 45/4*m = 0 for m.
-1, -1/88
Let s(b) = -2*b + 22. Let v(q) = -q**2 + 5*q + 1. Let z(n) = s(n) + 2*v(n). Factor z(i).
-2*(i - 6)*(i + 2)
Let y(u) be the second derivative of 5*u**4/12 - 10*u**3/3 - 16*u + 1. Solve y(k) = 0.
0, 4
Let s(q) be the first derivative of 5*q**6/6 - 3*q**5 - 15*q**4/4 + 35*q**3/3 + 15*q**2 + 81. Find k, given that s(k) = 0.
-1, 0, 2, 3
Let a(t) be the second derivative of -3*t**2 + 1/36*t**4 + 1/180*t**6 + 1/45*t**5 + 0*t**3 - 4*t + 0. Let x(o) be the first derivative of a(o). Factor x(z).
2*z*(z + 1)**2/3
Let j(l) = -25*l**2 + 235*l - 78. Let p(d) = -25*d**2 + 235*d - 80. Let m(g) = -5*j(g) + 6*p(g). Factor m(h).
-5*(h - 9)*(5*h - 2)
Let g be (-360)/(-72) - 22/12*2. Factor -2*m**2 - 2/3*m**3 - g*m + 0.
-2*m*(m + 1)*(m + 2)/3
Let k be 62/(-180) + (-2)/10*-2. Let h(o) be the first derivative of -8/27*o**3 + 5/9*o**2 - 4/9*o - 5 + k*o**4. Factor h(y).
2*(y - 2)*(y - 1)**2/9
Let x(a) = 4*a**2 - 8*a + 8. Let h(r) = 3*r**2 - 7*r + 7. Let s(k) = 3*h(k) - 2*x(k). Let o be s(5). Factor -7*q**5 + 3*q**3 + 7*q**5 - 6*q**4 + 3*q**o.
3*q**3*(q - 1)**2
Let r = 53 - 49. Let x(d) be the first derivative of 0*d + 0*d**r + 2/3*d**3 - 2/15*d**5 + 3 + 2/3*d**2. Find p, given that x(p) = 0.
-1, 0, 2
Let q = 122 - 117. Let r(h) = -h**4 + h**3 - h. Let y(c) = -4*c**4 + 5*c**3 + 3*c**2 - 7*c - 4. Let s(t) = q*y(t) - 15*r(t). Solve s(g) = 0.
-1, 2
Let x(m) be the second derivative of -1/3*m**3 + 1/5*m**5 - 1/21*m**7 + 1/15*m**6 + 0 + m**2 - 24*m - 1/3*m**4. Suppose x(a) = 0. Calculate a.
-1, 1
Let w(x) be the second derivative of 0 - x + 0*x**2 - 1/15*x**3 - 1/25*x**5 - 1/12*x**4 - 1/150*x**6. Determine k, given that w(k) = 0.
-2, -1, 0
Let d(o) = o**3 + 10*o**2 - 2*o - 16. Suppose n = -7 - 3. Let s be d(n). Find u such that 2*u**3 + s - 4*u**2 + 2*u - 5*u + u = 0.
-1, 1, 2
Let w(k) be the second derivative of -k**7/105 + k**6/15 - 7*k**5/50 + k**4/10 + 45*k. Solve w(p) = 0.
0, 1, 3
Let j be (24/(-90))/(190/50 + -4). Find v, given that -j*v**3 + 0 + 4/3*v**5 + 0*v + 0*v**2 + 0*v**4 = 0.
-1, 0, 1
Let n(y) be the third derivative of y**7/280 + 17*y**6/160 + 27*y**5/20 + 19*y**4/2 + 40*y**3 + 400*y**2. Factor n(a).
3*(a + 4)**3*(a + 5)/4
Suppose 1018*t - 1512 - 152 = 2408. Solve -2/15*h**t - 4/15*h**3 + 0 + 2/15*h**2 + 4/15*h = 0 for h.
-2, -1, 0, 1
Let w = -973 + 18491/19. Factor 2/19*v + w - 2/19*v**2.
-2*(v - 2)*(v + 1)/19
Let p(m) be the first derivative of -m**4/4 + 8*m**3/3 - 7*m**2/2 - 27. Factor p(v).
-v*(v - 7)*(v - 1)
Let v(w) be the second derivative of w**5/15 - 5*w**4/18 - 17*w**3/9 + 20*w**2/3 - 20*w - 5. Suppose v(r) = 0. What is r?
-5/2, 1, 4
Solve -102*r + 196*r**2 + 45*r**5 - 88*r**5 - 156*r**3 + 44*r**4 + 22*r + 39*r**5 = 0.
0, 1, 4, 5
Let z(m) be the first derivative of 3*m**3/7 - 12*m**2/7 - 9*m/7 + 13. Solve z(k) = 0 for k.
-1/3, 3
Let k(y) = -8*y**2 - 5*y - 4. Let d be k(-3). Let o = d + 63. Factor 1/3*s**o + 0 + 1/3*s.
s*(s + 1)/3
Suppose -5*z = -3*m - 0*z, 4*z = -m + 17. Let u(y) be the third derivative of 0*y**4 - 1/660*y**6 + 0*y**3 + 0*y + 0 + 0*y**5 - m*y**2. Factor u(w).
-2*w**3/11
Let v(c) = 2*c**3 + 18*c**2 + 18*c + 20. Let b be v(-8). Let l(d) be the second derivative of 1/15*d**3 + 0*d**2 + 1/50*d**5 + 1/15*d**b + 4*d + 0. Factor l(n).
2*n*(n + 1)**2/5
Let o(n) be the third derivative of -n**8/168 - 2*n**7/105 + 7*n**6/60 + 2*n**5/3 + n**4 + 64*n**2. Find d, given that o(d) = 0.
-2, -1, 0, 3
Let o(f) = 5*f**2 - 9*f - 5. Let v(n) = -2*n - 8. Let y be v(-6). Let i(t) = t**2 - 2*t - 1. Let b(j) = y*o(j) - 18*i(j). Find q, given that b(q) = 0.
-1, 1
Let d be (2 + -4)*1/(-1). Suppose 0 - 1/4*w**4 - 1/4*w**3 + 1/4*w**d + 1/4*w**5 + 0*w = 0. Calculate w.
-1, 0, 1
Let v(z) be the second derivative of -z**4/4 - 5*z**3 + 36*z**2 + 21*z + 2. Let v(s) = 0. Calculate s.
-12, 2
Let c(l) be the third derivative of 0 - 11*l**2 - 2*l**3 + 0*l + 1/72*l**4 - 1/1620*l**6 + 1/1080*l**5. Let y(o) be the first derivative of c(o). Factor y(m).
-(m + 1)*(2*m - 3)/9
Factor -30*h**2 - 28*h - h**3 + 17*h**5 - 11*h**3 + 110*h**2 - 13*h**5 + 16*h**4 - 60*h**3.
4*h*(h - 1)**3*(h + 7)
Let y(p) be the second derivative of -p**4/60 + 61*p**3/30 + 712*p. Determine w, given that y(w) = 0.
0, 61
Suppose -8 = 2*n, -5*m + 95 = -4*n - n. Let j be 2/28*-6 - m/(-35). Find q such that -5/3*q**4 + 2/3*q + 5/3*q**2 - 2/3*q**3 + j = 0.
-1, -2/5, 0, 1
Let n(z) be the second derivative of -7*z**6/160 - 3*z**5/20 - 3*z**4/32 + z**3/4 - 9*z**2/2 - 7*z. Let j(a) be the first derivative of n(a). Factor j(r).
-3*(r + 1)**2*(7*r - 2)/4
Suppose 4*u - 5*c - 37 = 0, 147*u - 3*c = 148*u + 12. Suppose 39/7*q**2 + 0 - 6/7*q - 33/7*q**u = 0. What is q?
0, 2/11, 1
Let f = 738 + -4427/6. Solve -1/6 - f*m**4 + 2/3*m**3 - m**2 + 2/3*m = 0.
1
Let 532 - 4*w**3 + 49 + 12*w + 26*w + 10*w - 32*w**2 - 5 = 0. Calculate w.
-6, 4
Suppose 94*q + 64 = 92*q. Let y = q + 35. Solve 1/5*t**y - 1/5*t**4 + 0 + 1/5*t**2 - 1/5*t = 0.
-1, 0, 1
Let m = 55 + -47. Let p be (-28)/m + 3 + 14/4. Factor -36/11 + 56/11*i**2 + 10/11*i**p + 6*i.
2*(i + 3)**2*(5*i - 2)/11
Let f(h) be the third derivative of 2/3*h**3 + 1/12*h**4 + 0*h + 1/105*h**7 + 0 + 25*h**2 - 1/240*h**6 - 1/12*h**5 - 1/672*h**8. Factor f(t).
-(t - 2)**3*(t + 1)**2/2
Let l(j) = -j**3 + 19*j**2 - 49*j + 20. Let q be l(16). Factor 2/9*u**3 - 2/9*u**2 - 2/9*u + 2/9*u**q + 0.
2*u*(u - 1)*(u + 1)**2/9
Suppose 0 = 4*g + 8, 5179 - 5181 = 3*l + 4*g. Factor 0 + 2/11*x**3 + 8/11*x**l + 6/11*x.
2*x*(x + 1)*(x + 3)/11
Let o(a) be the first derivative of -416745*a**6/2 - 773955*a**5 - 715365*a**4 - 249520*a**3/3 - 3840*a**2 - 80*a - 65. Suppose o(w) = 0. Calculate w.
-2, -1, -2/63
Let t(s) = 21*s**3 - 9*s**2 + 15*s + 21. Let m(q) = -17*q**3 + 8*q**2 - 17*q - 22. Let z(l) = 6*m(l) + 5*t(l). Find v, given that z(v) = 0.
-3, -1, 3
Let x be (-43)/5 - -9 - 53/(-555). Let k = x + -6/37. Factor 2/3*a**4 + 0*a - 1/3*a**5 + 0 + 0*a**2 - k*a**3.
-a**3*(a - 1)**2/3
Let r(s) be the first derivative of -3*s**4/2 - 195*s**3 - 7056*s**2 + 7203*s + 683. Factor r(y).
-3*(y + 49)**2*(2*y - 1)
Let i(v) = -v**3 - 11*v**2 + 12*v + 14. Let o be i(-12). Suppose 6*a = 4 + o. Suppose 2/3*p**2 + 0 - 2/3*p**a + 0*p = 0. Calculate p.
0, 1
Let k(i) be the second derivative of 23*i - 1/12*i**4 + 0 + 0*i**3 + 0*i**2. Determine s, given that k(s) = 0.
0
Factor -8/7*p + 90/7 - 2/7*p**2.
-2*(p - 5)*(p + 9)/7
Let j(a) be the first derivative of a**3/15 + 3*a**2/5 - 7*a/5 + 17. Factor j(d).
(d - 1)*(d + 7)/5
Let d(v) = 28*v**2 - 2*v - 6. Let k be d(-2). Let c be 5*(12/k)/3. Suppose c*i**2 - 2/11*i**3 - 2/11 + 2/11*i = 0. Calculate i.
-1, 1
Solve -25 - 47 + 45*u + 285*u**3 - 234*u + 87*u + 75*u**4 + 222*u**2 - 30*u = 0 for u.
-2, -2/5, 3/5
Let a(b) = -b**2. Let d(m) = -m**4 - 7*m**3 + 21*m**2 - 9*m. Let g(z) = 12*a(z) + 3*d(z). Factor g(y).
-3*y*(y - 1)**2*(y + 9)
Suppose -3 = -2*v - 1, 5*v - 26 = -3*y. Solve -6*o**2 + 6*o**3 - y*o**4 + 10*o**4 + 4*o**2 - 12 - 24*o - 7*o**2 = 0.
-2, -1, 2
Let n(l) = 5*l**2 + 80*l - 70. Let d(u) = -u**2 - 16*u + 14. Let s(g) = -11*d(g) - 2*n(g). Let k be s(-17). Factor -3/2*h**3 + 9/2*h + k + 0*h**2.
-3*(h - 2)*(h + 1)**2/2
Let u(i) be the first derivative of -i**8/280 - 8*i**7/525 - i**6/50 + i**4/60 - 3*i**2/2 - 13. Let p(y) be the second derivative of u(y). Factor p(v).
-2*v*(v + 1)**3*(3*v - 1)/5
Let j(i) = i**2 + i - 1. Let l(h) = h**3 - 7*h**2 - 5*h + 4. Let o(b) = -4*j(b) - l(b). Let p be o(3). Let 60*w**2 - 24*w**3 + p - 51/2*w = 0. What is w?
1/4, 2
Factor 114/5*b + 408/5 + 3/5*b**2.
3*(b + 4)*(b + 34)/5
Let w(p) be the second derivative of p**5/20 - 57*p. Factor w(z).
z**3
Let v(j) = 2*j**5 + 2*j**4 - 7*j**3 + 14*j**2 - 5*j - 6. Let b(x) = -2*x**5 - 3*x**4 + 8*x**3 - 16*x**2 + 6*x + 7. Let g(p) = -5*b(p) - 6*v(p). Factor g(i).
-(i - 1)**3*(i + 1)*(2*i + 1)
Let n(z) = -31*z**4 - 37*z**3 + 8*z**2 + 37*z - 11. Let q(l) = 11*l**4 + 13*l**3 - 3*l**2 - 13*l + 4. Let k(f) = -6*n(f) - 17*q(f). Factor k(i).
-(i - 2)*(i - 1)*(i + 1)**2
Determine l, given that -1 + 9*l**2 - 9*l**4 + 7*l**5 + 11*l**3 + 1 - 34*l**3 - 2*l + 18*l**3 = 0.
-