m?
0, 3
Let r be 2/10 + 46/(-5). Let f be 94/18 - (-2)/r. Factor -3 - j - 48*j**2 - 28*j + f*j.
-3*(4*j + 1)**2
Suppose -6 - f**2 + 6*f - 1 + 2 = 0. Calculate f.
1, 5
Let z(c) be the third derivative of -c**5/270 - c**4/108 + 2*c**3/27 - 5*c**2. Factor z(a).
-2*(a - 1)*(a + 2)/9
Let x be 5/((-15)/(-12)) - 4. Determine k, given that x*k**4 + 4*k**4 - 3*k**2 - k**2 = 0.
-1, 0, 1
Let y(d) be the first derivative of -3*d**5/35 - 3*d**4/7 - 5*d**3/7 - 3*d**2/7 - 6. Determine r, given that y(r) = 0.
-2, -1, 0
Let i = 527/395 - 1/1185. Factor 0 + i*m + 4/3*m**2 + 1/3*m**3.
m*(m + 2)**2/3
Suppose 11 - 31 = -4*d. Let -x**5 + 2*x**3 + d*x**4 - 2*x**4 + 3*x**4 - 7*x**5 = 0. What is x?
-1/4, 0, 1
Let f(b) = -b**3 + 2*b**2 + b + 2. Let j be f(2). Let z(x) = -x**2 - 5*x - 4. Let s be z(-3). Factor -2*a**s - 2*a**4 + 4*a**3 - 4*a + 0*a + 4*a**j.
2*a*(a - 1)*(a + 1)*(a + 2)
Let d = 9 + -7. Let q(k) be the first derivative of -2/35*k**5 + 0*k + d + 2/21*k**3 + 1/7*k**2 - 1/14*k**4. Solve q(r) = 0 for r.
-1, 0, 1
Let y(a) be the third derivative of -a**8/1344 - a**7/420 + a**6/240 + a**5/60 - a**4/96 - a**3/12 + 2*a**2. Solve y(h) = 0.
-2, -1, 1
Let b be 35/10 + ((-15)/6)/5. Let z(a) be the second derivative of 0 + a**2 - 2/3*a**3 + 1/6*a**4 - b*a. Factor z(p).
2*(p - 1)**2
Let w(k) be the second derivative of -2/21*k**7 + 4*k + 2/5*k**6 + 0*k**3 + 0*k**2 + 1/3*k**4 + 0 - 3/5*k**5. Factor w(r).
-4*r**2*(r - 1)**3
Suppose 9 = 5*s - 11. Find c such that -6 + 5*c**2 - 17*c**2 - 4*c**4 + 12*c**3 + 6 + s*c = 0.
0, 1
Let s(p) be the first derivative of -4*p**4 + 20*p**3/3 + 14*p**2 - 8*p - 7. Factor s(t).
-4*(t - 2)*(t + 1)*(4*t - 1)
Let l(s) be the first derivative of -9*s**3/7 + 36*s**2/7 - 48*s/7 + 5. Solve l(f) = 0 for f.
4/3
Let l(s) be the third derivative of -s**5/60 - s**4/32 + s**3/24 + 2*s**2. What is b in l(b) = 0?
-1, 1/4
Let l be (6*(-2)/32)/(-45). Let q(r) be the third derivative of -l*r**5 - 1/40*r**6 - 3/140*r**7 - 1/168*r**8 + 0*r**3 + 2*r**2 + 0 + 0*r + 0*r**4. Factor q(h).
-h**2*(h + 1)**2*(4*h + 1)/2
Suppose -2*y = 4*o - 62, -o + y + 88 = 4*o. Let x = o - 15. Determine r so that -1/4*r**3 + 0*r**x + 0 + 1/4*r = 0.
-1, 0, 1
Let v(b) = -3*b - 2. Let i be v(-1). Let d(c) be the first derivative of 2/3*c + 2/15*c**5 + i + 1/3*c**4 - 1/3*c**2 - 1/9*c**6 - 4/9*c**3. Factor d(s).
-2*(s - 1)**3*(s + 1)**2/3
Let i(f) be the second derivative of f**4/6 + 2*f**3/9 + 3*f. Determine s so that i(s) = 0.
-2/3, 0
Let u(a) be the third derivative of -a**8/168 - 2*a**7/105 + a**6/60 + a**5/15 - 39*a**2. Find c such that u(c) = 0.
-2, -1, 0, 1
Let b(q) be the first derivative of -q**6/360 + q**5/40 - q**4/12 - 7*q**3/3 + 4. Let m(i) be the third derivative of b(i). Factor m(z).
-(z - 2)*(z - 1)
Let t be 5/(-4)*(12/(-30))/1. Factor -t*s - 1/2*s**2 + 0.
-s*(s + 1)/2
Let z(i) = -i**3 + i**2 + i + 1. Suppose -8 + 2 = -a. Let k(x) = 4*x**2 + x + 5 - 3*x**3 + a*x - 2*x - x**4. Let p(y) = k(y) - 5*z(y). Let p(l) = 0. What is l?
0, 1
Solve 0 - 2/5*c**4 - 6/5*c**3 - 4/5*c**2 + 0*c = 0 for c.
-2, -1, 0
Let w(f) = -4*f**3 + 8*f**2 + 3*f + 1. Let k(d) = -5*d**3 + 9*d**2 + 3*d + 1. Let t(a) = -5*k(a) + 6*w(a). Find l such that t(l) = 0.
-1
Let o(l) = l**2 - l + 1. Let c(x) = x**3 + 5*x**2 - 8*x + 9. Let r(w) = -5*c(w) + 35*o(w). Factor r(i).
-5*(i - 2)*(i - 1)*(i + 1)
Let s(r) = -r**3 + 5*r**2 - 2*r - 5. Let k be s(4). Solve g**2 - g**3 + 3*g**k - g**3 - 5*g**2 + 4*g = 0 for g.
0, 2
Let p(r) be the third derivative of 0*r + 0*r**3 + 0 - 1/735*r**7 + 0*r**4 - 1/420*r**6 + r**2 + 0*r**5. Factor p(h).
-2*h**3*(h + 1)/7
Let u(d) be the first derivative of 1/9*d**3 + 0*d + 1/12*d**4 - 1/15*d**5 - 1/6*d**2 - 5. Factor u(x).
-x*(x - 1)**2*(x + 1)/3
Let q be 4/(4/11) + 0. Let q*h + 3*h**2 - 12*h - h**2 - h**3 = 0. Calculate h.
0, 1
Factor 1/4*l**5 + 3/4*l**2 + 0 - 1/4*l**3 + 0*l - 3/4*l**4.
l**2*(l - 3)*(l - 1)*(l + 1)/4
Let 29 - 145*c - 6*c - 8*c**3 + 21 - 69*c + 82*c**2 = 0. Calculate c.
1/4, 5
Let o(n) be the third derivative of n**8/10080 - n**7/1260 + n**6/360 + n**5/12 - 3*n**2. Let z(b) be the third derivative of o(b). Find v, given that z(v) = 0.
1
Let c be 1196/(-30) + (-2)/15. Let m be 1 - (-4)/c*2. Factor -4/5*g**2 + 2/5*g**3 - 2/5*g + m.
2*(g - 2)*(g - 1)*(g + 1)/5
Let o(w) be the first derivative of 2*w**5/15 - w**4/24 - 2*w**3/9 + w**2/12 + 1. Factor o(q).
q*(q - 1)*(q + 1)*(4*q - 1)/6
Let i(u) be the third derivative of 0 + 1/600*u**6 - 1/60*u**4 - 1/300*u**5 - 7*u**2 + 0*u + 0*u**3. Suppose i(s) = 0. Calculate s.
-1, 0, 2
What is c in -15*c + 3/2*c**3 - 3/2*c**2 - 12 = 0?
-2, -1, 4
Let l be ((-4 - -4)/4)/(-1). Suppose -4*m + 6 = -2*m. Determine a, given that 1 + l + 4*a + 2 - a - m*a**2 - 3*a**3 = 0.
-1, 1
Let u = -1 + 2. Let j(g) = g**4 + g**2 - g + 1. Let d(b) = 2*b**5 - 8*b**2 + 2*b - 4. Let a(t) = u*d(t) + 4*j(t). Factor a(s).
2*s*(s - 1)*(s + 1)**3
Let s = -1 + 5. Suppose 0*c + 4*c**2 + s - 2*c - 6 = 0. What is c?
-1/2, 1
Determine v so that -4*v**2 - 6/7*v**3 - 12/7 - 34/7*v = 0.
-3, -1, -2/3
Let a(d) be the first derivative of -d**4/4 - 4*d**3/3 + 5*d**2/2 + 2*d - 2. Let c be a(-5). Solve 4*t - 4 - 2*t**c + 3 - 1 = 0.
1
Let t(l) be the second derivative of 0 - 2/5*l**2 + 7/15*l**3 - 1/10*l**4 + l. Factor t(u).
-2*(u - 2)*(3*u - 1)/5
Let t(p) be the second derivative of p**5/150 + p**4/90 - p**3/45 - p**2/15 + 55*p. Factor t(d).
2*(d - 1)*(d + 1)**2/15
Suppose 0 = -21*b + 20*b. Let v(q) be the third derivative of 1/210*q**7 - 1/30*q**5 + 0*q**6 + 1/6*q**3 + b + 0*q**4 + 0*q - 2*q**2. Find o such that v(o) = 0.
-1, 1
Let l be (-12)/2*8/(224/(-14)). What is g in -2/3*g - 5/3*g**2 + 0 - 4/3*g**l - 1/3*g**4 = 0?
-2, -1, 0
Let g(z) be the third derivative of -z**5/330 + z**4/33 - 4*z**3/33 - 23*z**2. Suppose g(b) = 0. Calculate b.
2
Suppose 0 = -a + 18 - 13. Factor 9/2*l**a + 0 + 3/2*l**4 + 0*l + 0*l**2 + 0*l**3.
3*l**4*(3*l + 1)/2
Let d(x) be the second derivative of -x**5/180 + x**4/72 + 7*x**2/2 + 7*x. Let h(k) be the first derivative of d(k). Solve h(j) = 0.
0, 1
Let y = -1 - 0. Let p = y + 3. Factor -2*d + 4*d + 2*d**3 - 2*d**2 + 6*d**p.
2*d*(d + 1)**2
Suppose 0 = 4*o + 5*x - 29, 2*x + 7 + 21 = 5*o. Factor -o*a + 5 - a**2 - 5 - 9 + 4*a**2.
3*(a - 3)*(a + 1)
Suppose 0 = 4*l + 2 - 6. Find c, given that 2*c**2 - 3 - 4*c + 2*c + 2*c**3 + 0*c**2 + l = 0.
-1, 1
Suppose -4*n - 3 = -5*n. Factor -3*w**n - 3*w**3 - w**4 + 5*w**3.
-w**3*(w + 1)
Let v(r) be the second derivative of 0 + 1/6*r**4 + 1/3*r**2 - r - 1/3*r**3 - 1/30*r**5. Let v(h) = 0. Calculate h.
1
Let a(h) be the third derivative of -h**6/40 - h**5/20 + h**4/8 + h**3/2 + 4*h**2. Find l such that a(l) = 0.
-1, 1
Suppose 2*g - 21 = 3*w + 2*w, 2*g + 9 = -w. Let l = -5 - w. Factor 1/2*o**4 + 0*o**2 + 1/2*o**3 + 0 + l*o.
o**3*(o + 1)/2
Solve -1/4*y**4 + 0*y + 0 + 1/2*y**3 - 1/4*y**2 = 0.
0, 1
Let c(i) be the first derivative of 3*i**6 - 6*i**5/5 - 13*i**4/2 + 2*i**3/9 + 16*i**2/3 + 8*i/3 - 7. Find m, given that c(m) = 0.
-2/3, -1/3, 1
Let k(a) be the second derivative of -a**8/168 - 2*a**7/105 - a**6/60 + 5*a**2/2 - 3*a. Let m(o) be the first derivative of k(o). Let m(q) = 0. What is q?
-1, 0
Solve -15/4*f - 1 - 7/8*f**2 = 0.
-4, -2/7
Let j = 28 - 26. Let 2/5*f + 1/5 + 1/5*f**j = 0. Calculate f.
-1
Let j(z) = -4*z**2 + 4*z + 8. Let n(p) = -12*p**2 + 12*p + 24. Let m(o) = -8*j(o) + 3*n(o). Factor m(f).
-4*(f - 2)*(f + 1)
Let z(i) be the second derivative of 0*i**2 - 1/18*i**4 + 2*i + 1/90*i**5 + 2/27*i**3 + 0. Let z(y) = 0. Calculate y.
0, 1, 2
Let r = -7/14687 - -6904129/2599599. Let h = 2/177 + r. Suppose 4*q - 25*q**5 - 58/3*q**2 + 140/3*q**4 + h - 9*q**3 = 0. What is q?
-2/5, 2/3, 1
Let m(v) be the first derivative of -v**3/6 + v**2/2 - v/2 + 12. Suppose m(k) = 0. What is k?
1
Let o(y) be the first derivative of y**6/540 - y**5/90 + y**4/36 - y**3 - 3. Let z(l) be the third derivative of o(l). Solve z(c) = 0 for c.
1
Factor 0 + 0*f**3 - 2/15*f**4 + 2/5*f**2 - 4/15*f.
-2*f*(f - 1)**2*(f + 2)/15
Factor -5*s**2 + 13 - 10*s + 12 + 6*s**2.
(s - 5)**2
Factor -6*w**4 - 40*w**3 + 37*w**3 + 6*w**5 + 6*w**2 - 3*w**5.
3*w**2*(w - 2)*(w - 1)*(w + 1)
Let i(u) be the third derivative of u**8/224 + u**7/70 - 3*u**6/20 + 7*u**5/20 - 5*u**4/16 - 5*u**2. Factor i(b).
3*b*(b - 1)**3*(b + 5)/2
Let o = -2 + 4. Suppose -3*g - o = -