(m) = 0. What is m?
-1, 0, 1
Let q = 63 - 61. Let x be ((-36)/(-28) - 1)*1. Let x*l**q + 4/7 - 6/7*l = 0. What is l?
1, 2
Factor 1/3*p**4 + 0 - 2/3*p**3 + 0*p + 0*p**2.
p**3*(p - 2)/3
Let i(a) be the first derivative of a**4/26 - 7. Solve i(n) = 0 for n.
0
Let r(s) be the second derivative of -s**6/30 - 4*s**5/5 - 15*s**4/2 - 100*s**3/3 - 125*s**2/2 + 4*s - 7. Factor r(n).
-(n + 1)*(n + 5)**3
Let u = -221 + 224. Find j such that -10/3*j**4 + 0 - 4/3*j**u + 0*j**2 + 0*j = 0.
-2/5, 0
Let o(u) = u**3 + 6*u**2. Let t be o(-6). Let t*p + p + 2*p**5 - p = 0. What is p?
0
Let y(n) be the second derivative of -1/4*n**4 + 1/20*n**5 - 1/2*n**2 + 1/2*n**3 + 4*n + 0. Factor y(r).
(r - 1)**3
Factor 3*b + 3*b**5 - 3*b - 7*b**3 + 4*b**3.
3*b**3*(b - 1)*(b + 1)
Let q(k) be the third derivative of -k**8/336 + 7*k**6/480 - k**5/240 - k**4/32 + k**3/24 + 40*k**2. Determine m so that q(m) = 0.
-1, 1/2, 1
Let b(q) = -q**2 + 15. Let l be b(0). Let t be 6/l - (-4)/(-35). Factor 6/7*z**2 - t*z**3 - 6/7*z + 2/7.
-2*(z - 1)**3/7
Let r(f) be the second derivative of -f**4/12 + f**3/10 + f**2/5 + 12*f. Determine a so that r(a) = 0.
-2/5, 1
Let c(w) be the second derivative of -w**6/50 - 3*w**5/100 + w**4/20 + w**3/10 - 4*w. Suppose c(x) = 0. What is x?
-1, 0, 1
Let w(l) be the first derivative of -5*l**4/4 + 5*l**3/3 + 5*l**2 + 12. Determine r so that w(r) = 0.
-1, 0, 2
Suppose -2*o = 3*o + 15. Let v be 0/(0 - 2) - o. Factor 2*c - 2*c**4 - 3*c**2 + 0*c**4 - v*c**2 + 6*c**3.
-2*c*(c - 1)**3
Let s(f) be the second derivative of 243*f**7/14 + 81*f**6 + 54*f**5 - 380*f**4/3 + 200*f**3/3 - 16*f**2 - 12*f. Solve s(g) = 0.
-2, 2/9
Let p(d) be the third derivative of -d**5/330 + 2*d**4/33 - 16*d**3/33 + 4*d**2. Factor p(t).
-2*(t - 4)**2/11
Let p be (0 + 8)/(-2)*-1. Let g be (-3)/(-3*2/p). What is y in 1 + 4*y**2 + 2*y - y**2 - g*y**2 = 0?
-1
Let s be (5 - 3 - 2) + 1 + 3. Solve 6*h - s - 3*h**2 + 1/2*h**3 = 0 for h.
2
Let g(v) be the second derivative of v**8/20160 + v**4/12 - 2*v. Let r(w) be the third derivative of g(w). Factor r(p).
p**3/3
Let n(g) be the second derivative of g**5/10 - g**4/6 - 2*g**3/3 + 9*g. Factor n(v).
2*v*(v - 2)*(v + 1)
Find j, given that -2*j + 10*j - 23*j**2 - 16*j**3 + 15*j**2 - 14*j**3 = 0.
-2/3, 0, 2/5
Let l = -251 + 503/2. Factor 3/2*u + l + u**2.
(u + 1)*(2*u + 1)/2
Let g(n) be the second derivative of n**7/63 - n**6/45 - n**5/15 + n**4/9 + n**3/9 - n**2/3 + 11*n. Determine f, given that g(f) = 0.
-1, 1
Let s(a) be the second derivative of -a**5/30 + 7*a**4/6 - 40*a**3/3 + 100*a**2/3 + 53*a. Factor s(i).
-2*(i - 10)**2*(i - 1)/3
Suppose 34*y - 16 = 26*y. Let -2/9*w + 2/9 + 2/9*w**3 - 2/9*w**y = 0. What is w?
-1, 1
Let k(t) be the first derivative of t**5 + 13*t**4/2 + 109*t**3/15 - 78*t**2/5 + 36*t/5 - 9. Solve k(o) = 0 for o.
-3, 2/5
Let n be (-22)/(-6) + 16/12. Find a such that 3*a - 3*a + 4*a**2 - 4*a + n*a = 0.
-1/4, 0
Let x = -5 - -6. Let q(g) = 2*g**3 + 8*g**2 + 4*g. Let j(b) = b**3 + b**2 + b. Let d(v) = x*q(v) - 4*j(v). Let d(y) = 0. Calculate y.
0, 2
Suppose 5*z = -0*z - 3*i + 29, -z - 3*i + 13 = 0. Let g(k) be the second derivative of -1/4*k**2 + 0 - 1/48*k**z - 2*k + 1/8*k**3. Find r such that g(r) = 0.
1, 2
Let g(f) be the second derivative of f**4/24 - f**3/12 - 16*f. Factor g(w).
w*(w - 1)/2
Let x = 65/6 - 32/3. Let q(y) be the first derivative of 0*y + x*y**4 - 1/3*y**2 + 2/9*y**3 + 4 - 2/15*y**5. Let q(u) = 0. Calculate u.
-1, 0, 1
Let x(a) = -7*a**2 + 10*a + 3. Let o(u) = 3*u**2 - 5*u - 2. Let s(b) = -9*o(b) - 4*x(b). Find f such that s(f) = 0.
-3, -2
Let i(m) be the second derivative of -3/5*m**5 + 7*m - 4/3*m**3 + 0*m**2 + 0 - 5/3*m**4 + 2/15*m**6 + 2/21*m**7. Factor i(n).
4*n*(n - 2)*(n + 1)**3
Let g(m) = -m**3 + 2*m**2 + m. Let v be g(-1). Suppose -2*o = 4*h - v, 7*o - 2*o - 5 = 0. Determine d, given that h - 2/3*d**4 + 0*d + 2/3*d**3 + 0*d**2 = 0.
0, 1
Let w(k) be the third derivative of 0 + 1/110*k**5 + 0*k + 0*k**3 + 1/660*k**6 + 2*k**2 + 1/66*k**4. Factor w(a).
2*a*(a + 1)*(a + 2)/11
Let u(y) = y + 5. Let a be u(0). Suppose -3*b = 2*h - 13, 0*h - a*b + 11 = -2*h. Factor 0 + 3/5*p**h + 3/5*p.
3*p*(p + 1)/5
Let u(d) = -d**2 - d - 1. Let a(v) = -5*v**2 - 2*v - 4. Let z(j) = a(j) - 4*u(j). Determine w so that z(w) = 0.
0, 2
Let t(q) be the third derivative of 5*q**8/112 - 4*q**7/35 + q**6/40 + q**5/10 + 10*q**2. Factor t(d).
3*d**2*(d - 1)**2*(5*d + 2)
Let d(a) be the third derivative of 0 + 0*a + 2/9*a**3 - 7/36*a**4 + a**2 + 1/18*a**5. Find h, given that d(h) = 0.
2/5, 1
Let n = 42669 + -297950/7. Let z = 105 - n. Suppose -4/7*r**2 + 0 - 2/7*r**3 - z*r = 0. What is r?
-1, 0
Let y(z) be the third derivative of -z**9/1512 + z**7/420 - z**3/3 + 2*z**2. Let b(a) be the first derivative of y(a). What is k in b(k) = 0?
-1, 0, 1
Let n(d) = 157*d**5 + 127*d**4 + 24*d**3 - 7. Let k(t) = -78*t**5 - 63*t**4 - 12*t**3 + 3. Let s(z) = 7*k(z) + 3*n(z). Factor s(m).
-3*m**3*(5*m + 2)**2
Let j(o) = o - 7. Let d be j(10). Let k(g) be the first derivative of -1/16*g**4 + 1 + 5/12*g**d - g**2 + g. Factor k(r).
-(r - 2)**2*(r - 1)/4
Let m(x) be the second derivative of -1/6*x**3 - 1/42*x**7 + 0*x**4 + 0*x**2 + 0 + 3*x + 1/10*x**5 + 0*x**6. Solve m(r) = 0.
-1, 0, 1
Let n(r) = 2*r**4 - 6*r**3 - 9*r**2 - 8*r + 3. Let m(u) = -1 + 2 + u**2 + u**4 + 0*u**2. Let o(j) = -6*m(j) + 2*n(j). Find l such that o(l) = 0.
-2, 0
Suppose -3*z + 2*z = -1. Let h(y) be the first derivative of 2/15*y**3 + z + 2/5*y - 2/5*y**2. Factor h(u).
2*(u - 1)**2/5
Let u be -1 + 0*(-4)/12. Let s be u + 12/(-16) + 2. Let 1/4*v + s*v**3 + 1/2*v**2 + 0 = 0. Calculate v.
-1, 0
Let k(t) = -8*t**2 - 10*t - 12. Let y(p) = -7*p**2 - 10*p - 11. Let o(l) = -2*k(l) + 3*y(l). Let u(z) = -z**2 + z. Let s(n) = -o(n) + 2*u(n). Factor s(q).
3*(q + 1)*(q + 3)
Let g(i) be the third derivative of i**8/560 + i**7/140 + i**6/120 + i**3/2 + 9*i**2. Let l(w) be the first derivative of g(w). Solve l(z) = 0.
-1, 0
Let q = 1 + 29. Factor 120 - 120*d**3 + 112*d**2 - 24 - 3*d**5 - 240*d + 13*d**2 + 115*d**2 + q*d**4.
-3*(d - 2)**5
Suppose 5*t - 710 + 147 = -2*m, -5*m = -5*t + 535. Factor 12*n**5 - t*n**2 + 0*n**2 + 123*n**3 - n**4 + 45*n - 6 - 23*n**4 - 39*n**4.
3*(n - 2)*(n - 1)**3*(4*n - 1)
Let r = -27 - -32. Suppose -t + 12 = 3*t, r*w - 6 = -2*t. What is d in 3/2*d**3 + w + 6*d - 6*d**2 = 0?
0, 2
Factor 1/3*v + 0 - 5/6*v**2 - 7/6*v**3.
-v*(v + 1)*(7*v - 2)/6
Factor -7*y**2 - 30 + 25*y - y**2 + 5*y**2 - 2*y**2.
-5*(y - 3)*(y - 2)
Suppose 2*i + r = -21, 0 = 4*r + r + 25. Let u be -2 + 3/((-6)/i). Factor 3 + 1 + l - l + l**u + 4*l.
(l + 2)**2
Let u(n) be the third derivative of 0*n + 1/12*n**4 + 0 + n**2 - 1/15*n**5 + 0*n**3 + 1/60*n**6. Determine i so that u(i) = 0.
0, 1
Let t(k) be the second derivative of -k**6/15 + k**4/6 + 14*k. Factor t(x).
-2*x**2*(x - 1)*(x + 1)
Let y(i) be the first derivative of 7*i**5 - 5*i**4/2 - 35*i**3/3 + 5*i**2 + 52. Factor y(v).
5*v*(v - 1)*(v + 1)*(7*v - 2)
Let z(v) be the first derivative of -7*v**4/48 - 2*v**3/3 - v**2/2 - 3*v - 5. Let s(f) be the first derivative of z(f). Factor s(k).
-(k + 2)*(7*k + 2)/4
Let u(q) = 2*q**2 + 2*q + 1. Let v be u(-1). Suppose 3*s - 3 = 3*z, 3*z - 18 = -s - v. Find w, given that 6*w**3 + w**5 - 2*w**3 + 0*w**3 + 4*w**z = 0.
-2, 0
Suppose 5*q = u + 27, 2*q - 9 = 3*u + 7. Let x(k) be the first derivative of 32/3*k**3 - 4*k + q*k**2 + 2 + 9/2*k**4. Factor x(m).
2*(m + 1)**2*(9*m - 2)
Let m(h) be the first derivative of h**5/150 - h**4/45 - h**3/45 + 2*h**2/15 - 2*h - 5. Let c(k) be the first derivative of m(k). Let c(q) = 0. What is q?
-1, 1, 2
Factor -1 - 90*a - 3*a**2 - 27 + 108*a + a**2.
-2*(a - 7)*(a - 2)
Factor 0 - 4*o**3 + 0*o - 4/3*o**2.
-4*o**2*(3*o + 1)/3
Let k(h) = -h - 14. Let q be k(-16). Suppose 15 = -10*i + 15*i. Let -21/2*a + i - 27/2*a**q = 0. Calculate a.
-1, 2/9
Let q = 110/287 - 4/41. Factor 0 - 2/7*r**3 - 4/7*r**2 - q*r.
-2*r*(r + 1)**2/7
Let i(j) = -j**3 - 5*j**2 + 5*j - 5. Let r be i(-6). Let y = 3 - r. Suppose 4*z**y + 4*z**3 + z**4 - z**2 - z**3 + z = 0. What is z?
-1, 0
Let j(z) be the second derivative of -3*z**7/28 + 2*z**6/5 - 21*z**5/40 + z**4/4 + 9*z - 1. Factor j(b).
-3*b**2*(b - 1)**2*(3*b - 2)/2
Let f be -4*49/84*(-8)/28. Suppose -1/3*s**2 + 1 + f*s = 0. Calculate s.
-1, 3
Let x = -1/38 + 21/76. Let w