d = 2, 5*n - 1 = 4*d - 5*d. Factor 0*o + 0 - 3/2*o**4 + n*o**2 + 3/2*o**3.
-3*o**3*(o - 1)/2
Let l(t) be the first derivative of 2/9*t + 6 - 2/9*t**4 + 2/45*t**5 - 4/9*t**2 + 4/9*t**3. Let l(u) = 0. Calculate u.
1
Let i(f) be the second derivative of -f**5/110 - f**4/22 - f**3/11 - f**2/11 - 9*f. Suppose i(v) = 0. Calculate v.
-1
Let o(f) be the third derivative of f**7/630 - f**6/60 + f**4/24 + 3*f**2. Let s(c) be the second derivative of o(c). Factor s(i).
4*i*(i - 3)
Let n = 5 - 23/5. Find m, given that -2/5*m + 2/5 - 2/5*m**2 + n*m**3 = 0.
-1, 1
Determine t so that -3/2*t**2 - 3/4*t**5 + 3/2 + 0*t**4 - 9/4*t + 3*t**3 = 0.
-2, -1, 1
Let r = 4494/2815 - -2/563. Let k(m) be the first derivative of -r*m**4 - 2 - 3/5*m**6 + 48/25*m**5 - 4/5*m + 9/5*m**2 - 4/5*m**3. Let k(i) = 0. Calculate i.
-2/3, 1/3, 1
Let v(a) be the first derivative of -a**6/12 + a**5/20 + 11*a**4/16 + 11*a**3/12 + 3*a**2/8 - 7. Suppose v(x) = 0. What is x?
-1, -1/2, 0, 3
Let q = 6 - 0. Let a(r) be the third derivative of -2/15*r**3 + 0*r - 1/30*r**4 + 0 + 3*r**2 + 1/100*r**5 + 1/300*r**q - 1/1050*r**7. Factor a(f).
-(f - 2)**2*(f + 1)**2/5
Let z(l) be the second derivative of 0*l**2 - 2/15*l**3 + 0 + 1/30*l**4 + 3*l. Solve z(c) = 0.
0, 2
Let z = -1/215 + 647/430. Find l such that 3/2*l + z*l**2 - 3 = 0.
-2, 1
Let n be (-3 - (1 + -4))/(-2)*1. Solve 0 - 4/7*s**2 - 2/7*s**4 + 6/7*s**3 + n*s = 0 for s.
0, 1, 2
Let h(k) be the third derivative of -k**6/540 + k**5/45 - k**4/12 - k**3/2 - 2*k**2. Let y(w) be the first derivative of h(w). Factor y(s).
-2*(s - 3)*(s - 1)/3
Let s(m) be the second derivative of -m**9/252 + 3*m**8/560 + m**7/280 - m**3/6 - 3*m. Let k(c) be the second derivative of s(c). Factor k(n).
-3*n**3*(n - 1)*(4*n + 1)
Let x(z) be the second derivative of -z**6/120 + z**5/80 - 6*z. Factor x(o).
-o**3*(o - 1)/4
Let a(f) = -f**3 + 3. Let w be a(0). Factor -7*m**3 + m**w + 4*m**4 - m**2 + 3*m**2.
2*m**2*(m - 1)*(2*m - 1)
Let m(w) be the first derivative of -w**9/1512 + w**7/210 - w**5/60 + 2*w**3 + 3. Let r(u) be the third derivative of m(u). Find b, given that r(b) = 0.
-1, 0, 1
Let h(f) = f**3 - f**2 - f - 2. Let p be h(2). Suppose p = -d - d + 6. Factor 8*s**4 - 12*s**2 + 4 + 6*s**5 - s**d + 2*s - 8*s**3 + s**3.
2*(s - 1)*(s + 1)**3*(3*s - 2)
Let r(q) be the first derivative of q**6/33 - 6*q**5/55 + 3*q**4/22 - 2*q**3/33 + 9. Factor r(k).
2*k**2*(k - 1)**3/11
Suppose 3*a + c = 1, 3*a - 4*c = c + 31. Suppose 0 = 2*p - 7 - 3. Solve 160*s - p + 22 + 20*s**4 + 48 + a*s**5 - 1 + 160*s**2 + 80*s**3 = 0.
-2
What is l in -2/13*l**5 - 6/13*l**3 + 0 + 0*l + 0*l**2 - 8/13*l**4 = 0?
-3, -1, 0
Let y(h) be the third derivative of h**5/12 - 13*h**2. Factor y(f).
5*f**2
Let s be (-30)/105*(76/(-6) + 1). Let o(i) be the first derivative of 4*i - 14/5*i**5 + s*i**3 - 9*i**2 + 9/2*i**4 + 2. Let o(a) = 0. Calculate a.
-1, 2/7, 1
Let r(f) be the first derivative of 5*f**3/3 - 5*f**2 - 15*f - 5. Factor r(i).
5*(i - 3)*(i + 1)
Let y(o) be the third derivative of -2*o**2 - 1/96*o**4 + 0 + 0*o**3 - 1/840*o**7 - 1/160*o**6 + 0*o - 1/80*o**5. Factor y(b).
-b*(b + 1)**3/4
Let h(i) = -i**2 + 3*i - 4. Let l be h(4). Let d = -4 - l. Factor 9*w**d + 4*w**2 + 2*w**3 - w**2 + 7*w**3 + 3*w**5 + 0*w**5.
3*w**2*(w + 1)**3
Let c = -232 - -235. Factor 0*h**2 + 2/7*h**5 + 0 + 2/7*h**c + 4/7*h**4 + 0*h.
2*h**3*(h + 1)**2/7
Let f(n) be the first derivative of n**4/4 - 10*n**3/3 + n**2 + 2. Let c be f(10). Suppose 50*u**2 - 125/3*u**3 + 8/3 - c*u = 0. What is u?
2/5
Suppose 0 = 2*r - 414 + 64. Let p = 1227/7 - r. Suppose 2/7*x**2 - p*x**3 - 2/7 + 2/7*x = 0. Calculate x.
-1, 1
Let x = -8/49 - -1690/147. Let i = x + -232/21. Let 0*o + 0*o**3 + 0 - i*o**4 + 2/7*o**2 = 0. Calculate o.
-1, 0, 1
Let b = 1/76 - -149/228. Solve -11/3*x + b + 16/3*x**2 - 7/3*x**3 = 0 for x.
2/7, 1
Let o(q) be the second derivative of -2*q**7/105 + 18*q**6/25 - 242*q**5/25 + 234*q**4/5 + 162*q**3/5 - 1458*q**2/5 + 3*q + 3. Solve o(d) = 0 for d.
-1, 1, 9
Let q = 215/22 + -51859/5302. Let y = q + 1213/964. What is v in y*v**4 + 0 + 9/4*v**3 + 1/2*v + 7/4*v**2 + 1/4*v**5 = 0?
-2, -1, 0
Suppose n = -u + 3, 4*n - 5*u - 7 = -4*u. Let -f - 12*f**n - 3*f**3 - 4*f**4 + 5*f**4 + 15*f**2 = 0. Calculate f.
0, 1
Let j(u) be the second derivative of u**6/240 + u**5/20 + 11*u**4/48 + u**3/2 + 9*u**2/16 + 6*u. Let j(x) = 0. What is x?
-3, -1
Let t(l) = -21*l**3 - l**2 - 5*l - 5. Let o(r) = -21*r**3 - 6*r - 6. Let z(c) = 5*o(c) - 6*t(c). Let z(p) = 0. Calculate p.
-2/7, 0
Let b(p) be the second derivative of -1/12*p**4 + 1/30*p**6 + 1/20*p**5 + 0 + 0*p**2 - 1/42*p**7 + p + 0*p**3. Factor b(v).
-v**2*(v - 1)**2*(v + 1)
Let k(l) = l**2 - 5*l + 6. Let j be k(4). Let d(o) = 2*o - 12. Let y be d(7). Determine r so that -2*r**3 + r**2 - y*r**j - 3*r**2 = 0.
-2, 0
Let l(d) be the second derivative of -4/13*d**2 - 3*d - 4/39*d**3 - 1/78*d**4 + 0. Suppose l(x) = 0. Calculate x.
-2
Let f(w) be the third derivative of -w**8/504 - 2*w**7/315 - w**6/180 + 3*w**2. Suppose f(b) = 0. Calculate b.
-1, 0
Let f = -5729/11 + 521. What is y in 32/11*y**4 + 80/11*y**3 + 6*y**2 + 20/11*y + f = 0?
-1, -1/4
Suppose 6*v = 2*v - 908. Let s = 1139/5 + v. Factor -s*u - 2/5 - 2/5*u**2.
-2*(u + 1)**2/5
Suppose 0 = -p - 3*p - 0*p. Solve -1/4*o**5 + o**2 - 3/4*o**3 + o - o**4 + p = 0 for o.
-2, -1, 0, 1
Let k(p) = 2*p + 1. Let s be k(-2). Let j(l) = l**2 + 4*l + 3. Let z be j(s). Factor -7/2*n**2 + n + z.
-n*(7*n - 2)/2
Factor 5/3*n**3 + 2 + 7/3*n - 6*n**2.
(n - 3)*(n - 1)*(5*n + 2)/3
Let y be 0 + -2 + 2 - -2. Solve -3*p**2 - p + p**3 + 3*p**y = 0 for p.
-1, 0, 1
Let n = 60 - 270. Let d be 1/(-6) - 95/n. Suppose -d + 4/7*z - 2/7*z**2 = 0. Calculate z.
1
Let k be (1/7)/((-30)/(-70)). Find u, given that k*u + 0 + 1/3*u**2 = 0.
-1, 0
Factor -166*x**2 + 7*x**3 - 2*x - 2 + 2 + 161*x**2.
x*(x - 1)*(7*x + 2)
Let d(r) be the first derivative of 1/30*r**4 + 0*r + 1/150*r**5 + 3/2*r**2 + 3 + 1/15*r**3. Let t(c) be the second derivative of d(c). Factor t(g).
2*(g + 1)**2/5
Let z(w) be the second derivative of 1/24*w**4 + 0 - 1/84*w**7 + 4*w - 1/60*w**6 + 0*w**2 + 1/40*w**5 + 0*w**3. Factor z(u).
-u**2*(u - 1)*(u + 1)**2/2
Factor -4/9 - 2/9*b**2 - 2/3*b.
-2*(b + 1)*(b + 2)/9
Let x(c) be the second derivative of 0*c**2 - 3/100*c**5 - 1/15*c**3 - 1/150*c**6 + 1/210*c**7 + 0 + c + 1/12*c**4. Find t, given that x(t) = 0.
-2, 0, 1
Let u(t) = -t**3 - 3*t**2 - 5*t - 3. Let i(w) = 6*w**3 + 16*w**2 + 26*w + 16. Let b(y) = 3*i(y) + 16*u(y). Suppose b(q) = 0. Calculate q.
-1, 0, 1
Factor -51*b + 5*b**2 + 116*b + 5 - 55*b.
5*(b + 1)**2
Let n(s) be the first derivative of -s**6/75 + s**4/20 + s**3/15 + s**2 + 3. Let t(q) be the second derivative of n(q). Factor t(w).
-2*(w - 1)*(2*w + 1)**2/5
Let c = -2 + 4. Let f = c + 0. Factor 2*i - f*i**3 - 2*i**4 + 8*i**3 - 6*i**2 + 0*i**4.
-2*i*(i - 1)**3
Let d be -20*((-7)/(-4))/(-7). Suppose d*w = 2 + 8. Factor -2/5*v + 0 - 2/5*v**w.
-2*v*(v + 1)/5
Suppose 2*j + 0*j + 16 = 0. Let n = 10 + j. Factor -n - 1/2*k**2 - 2*k.
-(k + 2)**2/2
Let h(d) = -d**2 - 9*d + 5. Let i(f) = -1. Let o(s) = h(s) + 5*i(s). Let b be o(-9). Suppose -k**2 - 2*k**4 + 6*k**3 - 6*k**2 + 2*k + k**2 + b*k = 0. What is k?
0, 1
Let f(i) = i - 4. Let g be f(7). Suppose -2*x + 0*x + 4 = 0. Let -n**x - n**2 - 1 + g*n**2 = 0. What is n?
-1, 1
Let l be (-128)/(-68) + 2/85*5. Factor -2/3 - 2*o**2 + 2/3*o**3 + l*o.
2*(o - 1)**3/3
Factor 5/2*k + 1 - 7/2*k**2.
-(k - 1)*(7*k + 2)/2
Let d(n) be the second derivative of n**5/100 - n**4/30 + n**3/30 + 5*n. Factor d(o).
o*(o - 1)**2/5
Let a(j) = -j**2. Let k(w) = 4*w**2 - 15*w + 6. Let f(q) = 2*a(q) - k(q). Factor f(t).
-3*(t - 2)*(2*t - 1)
Suppose -5*f + 160 = 15. Let d = -29 + f. Solve d + 0*b + 1/4*b**2 + 1/4*b**3 = 0 for b.
-1, 0
Let c(j) be the first derivative of -7*j**6/30 - j**5/10 - 2*j - 4. Let y(k) be the first derivative of c(k). Solve y(i) = 0 for i.
-2/7, 0
Suppose 0*g + 25 = 5*g. Let m be (-15)/(-3) + -1 + 0. Factor 0*o**3 + 0 + 2/3*o**g - 2/3*o - 4/3*o**2 + 4/3*o**m.
2*o*(o - 1)*(o + 1)**3/3
Let w be (14/21)/((-15)/(-243)). Factor -24/5*t**3 + 3/5*t**4 + 0*t - 81/5 + w*t**2.
3*(t - 3)**3*(t + 1)/5
Let r(w) be the first derivative of -1/6*w**2 + 0*w - 1 + 1/9*w**3. Factor r(l).
l*(l - 1)/3
Factor -5*g - 8*g**2 + 8*g**4 + 4*g**5 + 8*g - 7*g