3/4*l**2 + 243/8*l + 3/8*l**3 - 15 = 0 for l.
1, 40
Suppose -2/3*c**4 - 62/3*c**2 + 64/3 + 12*c - 12*c**3 = 0. Calculate c.
-16, -2, -1, 1
Let j = 190 + -186. Let n(r) be the third derivative of -1/36*r**6 + 0*r + 0 - 4/45*r**5 - 1/315*r**7 - 1/9*r**j - 3*r**2 + 0*r**3. Factor n(m).
-2*m*(m + 1)*(m + 2)**2/3
Suppose 0 = 14*s - 12*s - 4. Suppose -3*n + 0*q - 4*q = 14, -3*q - 11 = s*n. Determine m so that -14/5*m**4 + 22/5*m**n + 26/5*m**3 - 2*m**5 - 16/5*m - 8/5 = 0.
-2, -1, -2/5, 1
Let u be (-4 - -5)/(3/867). Let f = -1155/4 + u. Let 3/4*r - 3/4*r**3 + f*r**2 + 1/4*r**4 - 1/2 = 0. Calculate r.
-1, 1, 2
Let c(n) be the third derivative of -13*n**6/8 + 41*n**5/12 - 5*n**4/12 - 2*n**2 - 32. Suppose c(k) = 0. Calculate k.
0, 2/39, 1
Let i(n) = -n**2 + 23*n - 22. Let l be i(22). Let w be (4 + l + 0)/14. Suppose 0 + 0*a - w*a**3 + 2/7*a**2 = 0. What is a?
0, 1
Suppose 15*l = 3146 - 3116. Suppose 4/7 + 2/7*h - 2/7*h**l = 0. Calculate h.
-1, 2
Let s(n) be the second derivative of -n**4/36 + 67*n**3/18 + 34*n**2/3 + 238*n. Factor s(r).
-(r - 68)*(r + 1)/3
Factor -29/2*s**3 + 0 - 14*s**2 + 0*s - 1/2*s**4.
-s**2*(s + 1)*(s + 28)/2
Factor 32/9*x - 4/9*x**2 - 20/3.
-4*(x - 5)*(x - 3)/9
Let c(n) be the first derivative of -n**4/28 - 13*n**3/21 - 5*n**2/2 + 7*n - 61. Suppose c(w) = 0. What is w?
-7, 1
Let z(i) be the first derivative of 36 - 65/6*i**4 - 1/3*i**5 - 965/9*i**3 - 240*i - 260*i**2. Factor z(d).
-5*(d + 1)**2*(d + 12)**2/3
Let 3/7*h**3 + 162/7*h**2 + 24 - 333/7*h = 0. What is h?
-56, 1
Let n(p) be the first derivative of -p**2 - 9*p**3 - 3/10*p**5 + 3 - 9/4*p**4 + 0*p - 1/60*p**6. Let k(w) be the second derivative of n(w). Factor k(l).
-2*(l + 3)**3
Let l(r) = -7*r - 25. Let w be l(10). Let z = -93 - w. Determine m so that 2/3*m**3 - 4/3 - 2*m + 0*m**z = 0.
-1, 2
Let c = 113 - 108. Let k(p) be the third derivative of -1/9*p**3 + 0*p + 1/180*p**5 + 0 - c*p**2 - 1/72*p**4. Solve k(v) = 0.
-1, 2
Suppose -2*w + 10 = -0. Suppose 2*l - 2*a = 0, -2*a - 3*a = 2*l - 28. Factor l*u + 3*u**2 + 0*u**2 + w - 16*u + 4.
3*(u - 3)*(u - 1)
Let c(z) be the third derivative of -z**7/490 + 11*z**6/70 - 9*z**5/2 + 675*z**4/14 + 3375*z**3/14 + 803*z**2. Factor c(g).
-3*(g - 15)**3*(g + 1)/7
Suppose 10*b - 29 = 5*b - 4*o, -3*b + 5*o = -10. Suppose 5*v = 2*p + b, p - 4*v + 10 = 3. Let 3*t**2 + p*t**3 + t**3 - 3*t**3 = 0. What is t?
-1, 0
Factor 2*h**5 + 4*h**4 + 9*h**5 - 4*h**2 - 4*h**3 - 5*h**5 - 2*h**5.
4*h**2*(h - 1)*(h + 1)**2
Let h be (0 - (-2 - -2))/(-2). Let k(u) = -u**2 - 14*u - 11. Let w be k(-1). Let w*p**3 + 6/5*p**2 + h - 4/5*p = 0. Calculate p.
-1, 0, 2/5
Suppose 39*j - 37*j - 44 = 0. Determine i, given that j*i - i**5 - 8*i**4 + 18*i - 59 - 2*i**3 + 28*i**2 + 75 - i**5 = 0.
-2, -1, 2
Let t = -2086 - -6274/3. Suppose -t*h**3 - 20/3*h**2 - 8/3*h + 0 - 4/3*h**4 = 0. Calculate h.
-2, -1, 0
Let r(m) be the third derivative of -m**5/60 + 5*m**4/3 - 200*m**3/3 - 2*m**2 - 22. Factor r(y).
-(y - 20)**2
Let j(u) be the first derivative of 1/36*u**6 + 21 + 0*u**2 + 0*u + 2/9*u**3 + 0*u**4 - 1/10*u**5. What is z in j(z) = 0?
-1, 0, 2
Let b(v) be the second derivative of -v**8/13440 - v**7/2520 + v**6/480 + v**4 - 8*v. Let l(o) be the third derivative of b(o). Factor l(r).
-r*(r - 1)*(r + 3)/2
Let p(k) be the third derivative of -k**5/510 - 79*k**4/51 - 24964*k**3/51 + 25*k**2 + 5. Factor p(x).
-2*(x + 158)**2/17
Let r be (1 - -1)*(784/70 + -8). What is j in -112/5*j - 36/5*j**5 - 168/5*j**2 + r + 92/5*j**3 + 16*j**4 = 0?
-1, 2/9, 2
Let o(f) be the first derivative of 6 + 1/7*f**4 + 2/7*f - 3/7*f**2 - 6/35*f**5 + 1/21*f**6 + 4/21*f**3. Factor o(i).
2*(i - 1)**4*(i + 1)/7
Let u(w) be the third derivative of -w**7/42 + 11*w**6/24 + 13*w**5/12 - 55*w**4/24 - 10*w**3 - 26*w**2. Factor u(k).
-5*(k - 12)*(k - 1)*(k + 1)**2
Let l(t) be the third derivative of -t**7/140 - 33*t**6/40 - 1153*t**5/40 - 132*t**4 - 256*t**3 + 164*t**2 - 2*t. Find k, given that l(k) = 0.
-32, -1
Let r(n) = -22*n**2 + 18*n + 11. Let c(o) = 15*o**2 - 12*o - 8. Let z(i) = 7*c(i) + 5*r(i). Suppose z(d) = 0. Calculate d.
1/5, 1
Let n = 533 - 527. Let g(z) be the third derivative of 0 + 2/105*z**7 + 4/3*z**3 - 8*z**2 + 1/30*z**n - 1/6*z**4 + 0*z - 1/5*z**5. Factor g(i).
4*(i - 1)**2*(i + 1)*(i + 2)
Let f be (1 - 4)/(-1)*((-44)/(-8) - 5). What is v in 1/2*v**2 + f - 2*v = 0?
1, 3
Determine r, given that 3*r**2 - r + 6*r + 3*r**2 + 14 - 7*r**2 = 0.
-2, 7
Let f(w) = -7*w**4 + 114*w**3 + 768*w**2 + 1184*w + 519. Let l(a) = -2*a**4 + 28*a**3 + 192*a**2 + 296*a + 130. Let r(d) = -2*f(d) + 9*l(d). Factor r(m).
-4*(m - 11)*(m + 1)**2*(m + 3)
Let c(x) be the first derivative of -x**4/15 - 8*x**3/15 - 2*x + 9. Let l(j) be the first derivative of c(j). Find h such that l(h) = 0.
-4, 0
Let a(b) be the second derivative of -5/12*b**4 - 20/3*b**3 - 40*b**2 - 9*b + 0. Let a(o) = 0. What is o?
-4
Factor -16/7*k**2 + 4/7*k**4 + 8/7*k**3 - 8/7*k + 12/7.
4*(k - 1)**2*(k + 1)*(k + 3)/7
Let m = 20 - 18. Factor 31*p**2 - 25 - 13*p**m - 20*p - 13*p**2.
5*(p - 5)*(p + 1)
Find a, given that -42 + 2/3*a**2 + 124/3*a = 0.
-63, 1
Suppose h + 2*h**3 + 1/2*h**4 + 0 + 5/2*h**2 = 0. Calculate h.
-2, -1, 0
Let c be -1 - ((-242)/4 - -3). Let g = c + -56. What is p in 0 - 1/2*p**4 - g*p**3 + 1/2*p**2 + 1/2*p = 0?
-1, 0, 1
Let p(u) be the first derivative of -2*u**5/35 - 3*u**4/7 - 26*u**3/21 - 12*u**2/7 - 8*u/7 + 9. Solve p(x) = 0 for x.
-2, -1
Let z(k) = 2*k**5 + 6*k**4 + 15*k**3 - 15*k**2 - 6*k + 9. Let a(u) = -3*u**3 - 2 + 3 - u**2 + 4*u**3. Let r(o) = -22*a(o) + 2*z(o). Factor r(c).
4*(c - 1)*(c + 1)**4
Solve -660*m + m**4 - 40*m**2 - 28*m**3 + 6*m**2 + 6*m**3 + 40*m**2 + 175*m**2 + 900 = 0 for m.
5, 6
Factor 1/12*g**2 + 17/6 + 19/12*g.
(g + 2)*(g + 17)/12
Let f(b) be the second derivative of 25/4*b**5 + 0 + 20*b**3 - 7*b + 10*b**2 + 75/4*b**4. Factor f(s).
5*(s + 1)*(5*s + 2)**2
Let j = -1571 - -1575. Let a(c) be the second derivative of 1/110*c**5 + 8*c - 1/33*c**3 + 0 - 3/11*c**2 + 1/22*c**j. Factor a(m).
2*(m - 1)*(m + 1)*(m + 3)/11
Let 5*o**3 - 18*o**3 + 4*o**3 - 35*o**2 - 30*o + 4*o**3 = 0. Calculate o.
-6, -1, 0
Let s(w) be the third derivative of -w**6/160 - 9*w**5/80 - 15*w**4/32 + 25*w**3/8 + 15*w**2. Suppose s(k) = 0. Calculate k.
-5, 1
Let r(l) be the first derivative of -26/7*l**2 - 24/7*l - 3 - 32/21*l**3 - 1/7*l**4. Factor r(v).
-4*(v + 1)**2*(v + 6)/7
Solve 2/9*n**2 + 2/9*n - 40/9 = 0 for n.
-5, 4
Let s = 11426/7 + -1632. Factor -s*r**3 + 0 + 0*r - 2/7*r**2.
-2*r**2*(r + 1)/7
Let p = 1413/5 - 291. Let r = 309/35 + p. Factor r*q**2 - 3/7*q + 1/7 - 1/7*q**3.
-(q - 1)**3/7
Suppose 5*l = l + u + 26, u + 14 = 2*l. Let w(i) = -2*i + 14. Let j be w(l). Determine d so that -2/9*d + 2/9*d**j + 0 = 0.
0, 1
Factor 1/2*p**3 + 3135/2*p - 3249/2 + 113/2*p**2.
(p - 1)*(p + 57)**2/2
Let w(c) = -c**3 + 16*c**2 - 16*c + 17. Let r = 8 + 7. Let b be w(r). Let 3*a - 138 + 132 - a**2 + 4*a**b = 0. Calculate a.
-2, 1
Let p be (16/(-12) - 0)*-9. Factor -p + 19*h - 14*h - 17*h - 3*h**2.
-3*(h + 2)**2
Suppose -4*r - 2 = -9*r - s, 2 = s. Suppose -2*c + 2*g = 8, 9 = -2*g + 17. Factor c + r*z - 1/5*z**5 + 1/5*z**4 + 1/5*z**3 - 1/5*z**2.
-z**2*(z - 1)**2*(z + 1)/5
Let i(j) be the third derivative of -75*j**8/112 + 194*j**7/21 - 271*j**6/8 + 111*j**5/2 - 275*j**4/6 + 20*j**3 + 333*j**2. Let i(d) = 0. What is d?
2/9, 2/5, 1, 6
Let z be (-66)/(-15)*6*5. Let k = -33 - -79. Factor -28*u + 238*u**2 + 16*u**3 + 36*u**3 + 24 + k*u**3 - z*u.
2*(u + 3)*(7*u - 2)**2
Let o(x) = x**3 - 2*x**2 + 3. Let b be o(2). Let m be (2/b)/(6 + -2). Factor 0 - 1/6*n**5 + 0*n + m*n**3 - 1/6*n**4 + 1/6*n**2.
-n**2*(n - 1)*(n + 1)**2/6
Let o(u) be the third derivative of -u**6/210 - 13*u**5/105 + 126*u**2. Factor o(d).
-4*d**2*(d + 13)/7
Let n(z) = -7*z - 7. Let y be n(-5). Let u = 54 - y. Factor -a**3 + u*a - 26*a + 5*a**3 - a**2.
a**2*(4*a - 1)
Let u(z) = z**2 - 2*z - 24. Let h be u(-4). Suppose -3*s = -h*a - 2*a, 4*a = -s. Factor s - 2/5*x**2 + 4/15*x + 2/15*x**3.
2*x*(x - 2)*(x - 1)/15
Suppose c = -26 + 28. Let u(f) = f**3 + 5*f**2 + 2*f - 5. Let j be u(-4). Factor c*h**2 + 5*h**3 - 2*h**j + 3*h**2 + h**2 - 9*h.
3*h*(h - 1)*(h + 3)
Let h(w) be the first derivative of 22*w**6/3 - 92*w**5/5 + 2*w**4 + 88*w**3/3 - 26*w**2 + 4*w + 644. Solve h(c) = 0 for c.
-1, 1/11, 1
Fac