or 0*f - 2*f**4 - f**2 + 0 - 5/2*f**3 - 1/2*f**v.
-f**2*(f + 1)**2*(f + 2)/2
Factor 2/21*m**4 + 0 + 0*m - 96/7*m**2 - 20/21*m**3.
2*m**2*(m - 18)*(m + 8)/21
Let t(i) be the second derivative of -i**7/840 + i**6/240 + i**5/20 - 34*i**4/3 + 18*i. Let m(r) be the third derivative of t(r). Factor m(w).
-3*(w - 2)*(w + 1)
Factor -921*w**2 - 87/2*w**3 + 5808 - 1/2*w**4 + 1232*w.
-(w - 3)*(w + 2)*(w + 44)**2/2
Let p(d) be the first derivative of -2/9*d**3 + 3*d**2 - 16/3*d + 69. Suppose p(r) = 0. Calculate r.
1, 8
Let b(g) be the first derivative of 17 - 49/6*g**6 - 2*g**2 - 106/3*g**3 + 53/4*g**4 + 8*g + 98/5*g**5. Solve b(f) = 0.
-1, -2/7, 2/7, 1, 2
Let o be (2 - -29)/(1/5). Let 70*k**3 + 75*k + 5*k + 28*k**4 + o*k**2 + 11*k**4 - 44*k**4 = 0. Calculate k.
-1, 0, 16
Let p(g) = -3*g**2 - 99*g - 152. Let q(h) = 5*h**2 + 205*h + 305. Let j(w) = -5*p(w) - 2*q(w). Factor j(a).
5*(a + 2)*(a + 15)
Let z = 7/389 + 743/1945. Let m(y) be the second derivative of -9*y + 1/20*y**4 + 0 + z*y**3 + 9/10*y**2. Suppose m(n) = 0. Calculate n.
-3, -1
Factor 2*x**3 + 544 - 108 + 964*x**2 - 364*x**2 - 1814*x + 776.
2*(x - 2)*(x - 1)*(x + 303)
Let a(r) = r**2 + 11*r + 2. Suppose 72 = -4*l + 28. Let x be a(l). Factor 5/7*u**3 + 2/7 + 9/7*u**x + 1/7*u**4 + u.
(u + 1)**3*(u + 2)/7
Suppose -l - 17 = -5*x, -33*l + 28*l - 1 = -4*x. Let t = 1649/158 - -5/79. Solve -t*g + 1/2*g**l + 11/2 + 9/2*g**2 = 0 for g.
-11, 1
Let h(m) = -4*m - 20. Let o be h(-8). Suppose 4*b + 5*z = 3, 5*b - 72 = 5*z - o. Factor -2*y**2 - 8 + 4*y - b*y**2 + 13*y**2.
4*(y - 1)*(y + 2)
Let f = 415/252 + 5/252. Let i(h) be the first derivative of f*h**3 + 0*h**2 + 17 + 0*h. Let i(l) = 0. Calculate l.
0
Let z = 329552013209/58187687250 - 1/29702750. Let w = 2/653 + z. Factor -11/3*f**4 + 2/3*f**5 - 20/3*f + 2/3*f**2 + w*f**3 + 8/3.
(f - 2)**3*(f + 1)*(2*f - 1)/3
Let w = 727 - 682. Suppose w*l = 5*n + 48*l - 21, 1 = 3*n - 4*l. Let 400 + 12*y**2 + 120*y + 2/5*y**n = 0. Calculate y.
-10
Let d = 786/743 + -4726438/3715. Let r = 1276 + d. What is f in r*f - 4/5*f**2 - 36/5 = 0?
3
Let f(h) be the first derivative of -1/5*h**5 + 167 + 0*h**2 - h**4 - h**3 + 0*h. Factor f(l).
-l**2*(l + 1)*(l + 3)
Factor -71415 + 690*m - 5/3*m**2.
-5*(m - 207)**2/3
Let h = 38555 + -154217/4. Let 3/2*m**3 + 0*m + h*m**2 + 3/4*m**4 + 0 = 0. Calculate m.
-1, 0
Suppose h - 5*r = 5, 13*h = 8*h + 7*r + 25. Find c such that 34 - 15*c - h*c**2 - 14 + 0*c**2 + 0*c**2 = 0.
-4, 1
Suppose 0 = r - 4*r + 18. Suppose -m + 2*f = r, -8 = -5*m - f + 6. Factor m*q + 10*q - q**2 + 4*q**2 - 6*q**2.
-3*q*(q - 4)
Let i(k) = -28*k**2 - 3128*k - 202648. Let o(s) = -18*s**2 - 2085*s - 135105. Let c(p) = 5*i(p) - 8*o(p). Factor c(d).
4*(d + 130)**2
Let c(b) be the third derivative of -b**8/84 + 92*b**7/105 + 97*b**6/30 - 46*b**5/15 - 16*b**4 + 29*b**2 - b + 8. Let c(m) = 0. Calculate m.
-2, -1, 0, 1, 48
Let t(l) be the third derivative of -l**5/20 + 31*l**4/8 - 42*l**3 - 1385*l**2. Find i, given that t(i) = 0.
3, 28
Let d(o) be the third derivative of 0 - 29/11*o**3 - 1/110*o**5 + 0*o - 15/22*o**4 + 116*o**2. Factor d(v).
-6*(v + 1)*(v + 29)/11
Let i(o) = 3*o**3 + o**2 + 23*o - 54. Let y(v) = -2*v**3 - 12*v + 27. Let p = 600 - 603. Let d(b) = p*i(b) - 5*y(b). Find s, given that d(s) = 0.
-3, 3
Let z = 3568 - 3568. Let g(t) be the second derivative of -1/3*t**4 + z + 0*t**2 + t - 2/3*t**3. Factor g(y).
-4*y*(y + 1)
Let x(f) be the third derivative of 1/3*f**3 + 16/15*f**5 + 238*f**2 - 31/120*f**6 + 0*f + 0 - 35/24*f**4. Find j, given that x(j) = 0.
2/31, 1
Suppose 3*m + 34 = -b, -4*b + 5*m + 36 = -32. Suppose -2 + 8/9*f**b - 1/9*f**3 + 11/9*f = 0. Calculate f.
-2, 1, 9
Let t = -80 - -89. Let a(j) be the first derivative of -t*j**2 + 38*j**3 + 21*j - 21*j**3 + 23 - 18*j**3. Determine l so that a(l) = 0.
-7, 1
Let t(r) be the second derivative of r**7/35 - 22*r**6/25 - 72*r**5/25 - r**4/5 + 47*r**3/5 + 72*r**2/5 + 1955*r. Solve t(v) = 0.
-1, 1, 24
Let k = 933187/248852 - -2/62213. Suppose k*j - 7/4*j**3 - 1/2 - 3/2*j**2 = 0. What is j?
-2, 1/7, 1
Let a = 278148 + -834443/3. Factor a*q**2 - 7/3 - 2*q.
(q - 7)*(q + 1)/3
Let -159 - 240*u - 327/4*u**2 - 3/4*u**3 = 0. Calculate u.
-106, -2, -1
Factor 4224 + 7200/7*p + 414/7*p**2 - 3/7*p**3.
-3*(p - 154)*(p + 8)**2/7
Suppose -92 = -2*t + 2*f - 6, 4 = -f. Suppose -47 = -c - t. Let -1/2*a**2 + 4*a - c = 0. Calculate a.
4
Let z(k) be the first derivative of 0*k + 1/5*k**2 - 123 + 0*k**4 - 4/15*k**3 - 1/15*k**6 + 4/25*k**5. Determine n, given that z(n) = 0.
-1, 0, 1
Let b(d) be the first derivative of d**5/35 + 3*d**4/4 + 80*d**3/21 - 2656. Suppose b(k) = 0. What is k?
-16, -5, 0
Suppose 0 = -x - 4, -4*n + 8 = 5*x - 2*x. Suppose 2*h - 5*l = 31, n*l = 4*h - 9 - 28. Suppose -3*m**2 - h*m**2 - 5*m**2 + 10*m**2 - m = 0. Calculate m.
-1, 0
Let j(m) = -m**4 + 5*m**3 - m**2 - 3*m + 2. Let w(c) = c**4 - 19*c**3 - 37*c**2 + 127*c + 78. Let k(n) = 6*j(n) - 2*w(n). Suppose k(v) = 0. What is v?
-2, -1/2, 2, 9
Let v(o) = 14*o**3 + 71*o**2 - 166*o + 63. Let f(t) = 3*t**3 + 18*t**2 - 41*t + 16. Let a(h) = -18*f(h) + 4*v(h). Factor a(d).
2*(d - 18)*(d - 1)**2
Let b be ((-65)/(-10))/((-1)/(-14)). Let a = b + -79. Factor -3*m**2 + 424 + a*m - 424.
-3*m*(m - 4)
What is y in 2*y**2 + 2781 + 5411 - 82*y - 22*y - 152*y = 0?
64
Let y(x) = x**3 + 11*x**2 + x + 23. Let a be y(-11). Factor -11*l**3 - a*l + 6*l**2 + 8 - 8*l**3 + 18*l**3.
-(l - 2)**3
Find k, given that k**3 - 94*k**2 - 6*k**3 - 431*k**2 = 0.
-105, 0
Let l(i) = -19*i - 1. Let j be l(1). Let t = j + 34. Find m such that -22 + t + 8 - m**2 - m = 0.
-1, 0
Suppose 4*y = 4, -2*c - c - 4*y - 1904 = 0. Let j = -2541/4 - c. Factor 1/4*s**3 + 9/4 + j*s - 5/4*s**2.
(s - 3)**2*(s + 1)/4
Let u(z) be the third derivative of 2*z**7/105 - 7*z**6/15 - 127*z**5/15 + 70*z**4/3 - 2364*z**2. Factor u(y).
4*y*(y - 20)*(y - 1)*(y + 7)
Factor 1/9*a**3 - 136/9*a + 13/3*a**2 - 140/3.
(a - 5)*(a + 2)*(a + 42)/9
Let i = -1897 - -8534. Find n such that 6635*n**3 + 7*n**2 - 6*n**4 - 8 + 2*n**5 + 7*n**2 - i*n**3 = 0.
-1, 1, 2
Factor -75/4*z**3 - 507/4*z**5 + 0*z + 0 + 0*z**2 + 195/2*z**4.
-3*z**3*(13*z - 5)**2/4
Let p be (-14)/(-1)*((-915)/75 + 13). Let -p*r**3 + 66/5*r**4 + 56/5*r - 8/5 - 58/5*r**2 = 0. What is r?
-1, 2/11, 2/3, 1
Factor -1/4*u**2 + 0 - 2421/4*u.
-u*(u + 2421)/4
Let j(c) be the third derivative of -c**7/60 - 39*c**6/80 - 31*c**5/24 + 123*c**4/16 - 15*c**3/2 + 2746*c**2. Solve j(w) = 0.
-15, -3, 2/7, 1
Let d(i) = -43*i + 1. Let r be d(-1). Suppose 3*w = -4*f + r, w - 5*w - 55 = -5*f. Solve y + y - f*y**2 + 10*y**2 = 0.
0, 2
Let s(j) = -15*j - 120. Let x be s(-10). Let z be (-10)/x*4*(-27)/12. Solve -22/7*m - 2/7*m**4 - 2/7*m**z + 8/7 + 18/7*m**2 = 0.
-4, 1
Let b(l) be the second derivative of -3*l**5/40 + l**4/8 + 37*l**3/4 + 105*l**2/4 + 2*l + 21. Find g such that b(g) = 0.
-5, -1, 7
Let a(c) be the first derivative of -c**6/3 - 158*c**5/15 - 223*c**4/3 + 2072*c**3/9 + 392*c**2/3 + 738. Find s, given that a(s) = 0.
-14, -1/3, 0, 2
Let g(x) be the first derivative of -x**4/10 - 14*x**3/15 - 14*x**2/5 - 16*x/5 + 451. Determine l so that g(l) = 0.
-4, -2, -1
Let u be (-8 + -1)*(-260)/585. Let t(l) be the second derivative of 2/45*l**6 + 0 + 1/63*l**7 + 19*l + 0*l**2 - 1/9*l**u + 0*l**5 - 1/9*l**3. Factor t(k).
2*k*(k - 1)*(k + 1)**3/3
Suppose -5*o - 4*s = 14, -15*o + 18*o - 36 = 5*s. Let r(m) be the third derivative of -1/8*m**4 - 1/60*m**5 - 11*m**o + 0 + 0*m**3 + 0*m. Factor r(g).
-g*(g + 3)
Factor 461041/2 - 679*m + 1/2*m**2.
(m - 679)**2/2
Let o(j) be the third derivative of j**6/30 + 2*j**5/15 - 20*j**4 - 661*j**2. Factor o(w).
4*w*(w - 10)*(w + 12)
Let h(d) = -d**2 + 27*d - 179. Let v be h(14). Let z(r) be the first derivative of -2/7*r**2 - 18 - 6/7*r + 2/21*r**v. Let z(t) = 0. Calculate t.
-1, 3
Let l = 4247 - 4242. Let v(k) be the second derivative of 0*k**2 + 0 + 0*k**3 - 1/120*k**6 + 1/20*k**l - 1/12*k**4 + 21*k. Factor v(n).
-n**2*(n - 2)**2/4
Let g = 51774 + -51771. Factor -1/5*z**g - 3*z - 7/5 - 9/5*z**2.
-(z + 1)**2*(z + 7)/5
Suppose 73/3*c + c**2 + 8 = 0. Calculate c.
-24, -1/3
Let a be 2438/184 + 5/(-4). What is q in a*q + 12*q**5 + 510*q**4 - 23*q**3 - 16*q**2 + 8 - q**3 - 502*q**4 = 0?
-1, -2/3, 1
Let j(o) = 3*o**2 - 36*o + 39. Suppose -2*k - f = -4, -f + 1 = 4*k - 7. Let x(l