ivative of -q**7/945 - q**6/180 - q**5/135 - q**2 - 3. Let m(c) be the second derivative of z(c). Factor m(y).
-2*y**2*(y + 1)*(y + 2)/9
Let k(i) be the third derivative of 1/30*i**5 + 0*i**3 + 0*i + 0 + 1/24*i**4 + 1/120*i**6 - i**2. Solve k(u) = 0.
-1, 0
Let w be -2*(1 - 2)*1. Let a(h) be the third derivative of -1/90*h**5 + 1/180*h**6 + 0*h + 1/108*h**4 - 1/945*h**7 + 0 - h**w + 0*h**3. Solve a(d) = 0 for d.
0, 1
Solve 4/23 - 6/23*z**3 + 6/23*z - 2/23*z**4 - 2/23*z**2 = 0.
-2, -1, 1
Let b(l) be the third derivative of -l**7/630 + l**6/360 + l**5/180 - l**4/72 + 21*l**2. What is r in b(r) = 0?
-1, 0, 1
Let u(f) be the second derivative of 1/3*f**3 - f + 7/8*f**5 + 11/12*f**4 + 5/24*f**6 + 0 + 0*f**2. What is h in u(h) = 0?
-2, -2/5, 0
Let b be (-6 - (-216)/30)*2/2. Factor 0 + 0*s - 3/5*s**4 + b*s**2 + 3/5*s**3.
-3*s**2*(s - 2)*(s + 1)/5
Let r = -355/12 - 103/4. Let m = r + 56. Find q, given that 0*q - 2/3*q**2 - m*q**3 + 0 = 0.
-1, 0
Let k(i) be the third derivative of i**8/3360 + i**7/630 + i**6/360 - i**4/12 - 2*i**2. Let t(m) be the second derivative of k(m). Factor t(p).
2*p*(p + 1)**2
Let p = 21 - 15. Let c(d) be the third derivative of -1/315*d**7 + 0 + 0*d**3 + 0*d**p + d**2 - 1/72*d**4 + 1/90*d**5 + 0*d + 1/1008*d**8. Factor c(j).
j*(j - 1)**3*(j + 1)/3
Let l be (2 - (-24)/(-18))/(10/3). Suppose l*h**3 + 0 - 1/5*h**2 + 1/5*h**4 - 1/5*h = 0. Calculate h.
-1, 0, 1
Suppose 2*a - 6 + 16 = w, 0 = -2*w + 3*a + 16. Suppose -j**2 + j**4 + 0 + 1/2*j - w*j**3 + 3/2*j**5 = 0. What is j?
-1, 0, 1/3, 1
Suppose 32*c + 7*c**5 - 8*c**4 + 32*c**2 + 8 - 11*c**5 - 4*c + 8*c**3 = 0. Calculate c.
-1, 2
Let z(x) = -x**3 + 2*x**2 + 2*x + 3. Let f be z(3). Suppose 3 - y**3 - 3 - y**2 + f*y**2 = 0. What is y?
-1, 0
Let 0 + 4/3*c - 2*c**2 + 2/3*c**3 = 0. What is c?
0, 1, 2
Suppose 6*i - 28 = 2*i. Let r = 10 - i. Factor 0*v**2 + 0*v**r + 0 - 2/9*v**4 + 0*v.
-2*v**4/9
Let c be (-14)/8*(-3)/(18/8). Factor -2/3 + 7/3*a + 2/3*a**3 - c*a**2.
(a - 2)*(a - 1)*(2*a - 1)/3
Suppose 3*b - 6 = -0*b. Let a be 2/b - (2 - 3). Suppose -u**2 + 3 - 1 - 3*u**2 + a*u**4 = 0. What is u?
-1, 1
Let v = 332483/33 + -10072. Let i = -21/11 + v. Suppose 0*r**4 - i + 2*r + 2/3*r**5 + 4/3*r**2 - 8/3*r**3 = 0. What is r?
-2, -1, 1
Let n = -19/28 - -61/28. Let -6 - n*m**2 - 6*m = 0. What is m?
-2
Let s be ((-12)/(-14))/(1/7). Suppose 0 = -0*j + 3*j - s. Factor -j + 6*c**2 - 2*c**2 - 6*c**4 + 4*c**4.
-2*(c - 1)**2*(c + 1)**2
Let g be (-4)/32*-50 + -6. Solve -1/4*u**2 - g*u + 1/2 = 0.
-2, 1
Factor 2/7 + 4/7*f + 2/7*f**2.
2*(f + 1)**2/7
Let l(b) = -b + 10. Let g be l(7). Factor -4*t**2 - t**g + 2*t**5 - 5*t**3 + 2 + 2*t + 2*t**4 + 0*t + 2*t**3.
2*(t - 1)**2*(t + 1)**3
Let w(p) be the third derivative of p**8/588 - 8*p**7/735 + p**6/70 + 7*p**2. Factor w(u).
4*u**3*(u - 3)*(u - 1)/7
Determine o, given that -6*o + 3*o**4 - o**4 - 2*o**2 + 6*o = 0.
-1, 0, 1
Suppose 9 = 3*w + 3. Suppose 0 = 6*m - w*m - 12. Factor -1/4 + 1/4*a - 1/4*a**m + 1/4*a**2.
-(a - 1)**2*(a + 1)/4
Let y(w) be the second derivative of w**6/300 - w**5/50 + w**4/30 + w**2 - 3*w. Let p(m) be the first derivative of y(m). Let p(f) = 0. What is f?
0, 1, 2
Let g(m) be the first derivative of -m**4/4 - 4*m**3 + 5*m + 1. Let v be g(-12). Factor d**v - 2*d**2 + 5*d**4 + 4*d**3 - 2 - d**4 + 0*d**2 - 5*d.
(d - 1)*(d + 1)**3*(d + 2)
Let a(n) be the first derivative of -n**2/2 + 5*n + 4. Let i be a(5). Factor 0*c**2 + i + 2/9*c**3 + 0*c.
2*c**3/9
Let g = 500 - 498. Solve 0 - 4/3*r - 2/3*r**3 + 2*r**g = 0.
0, 1, 2
Let x(z) be the second derivative of -32*z**6/5 - 132*z**5/5 - 27*z**4 - 25*z**3/2 - 3*z**2 + 3*z. Find u, given that x(u) = 0.
-2, -1/4
Let w(a) be the second derivative of a**5/80 + a**4/24 + a**3/24 + 9*a. Factor w(u).
u*(u + 1)**2/4
Let j(a) = -2*a + a + 0*a - a. Let m be j(-2). Factor 1/2*k + 0*k**2 + 0 + 1/2*k**5 - k**3 + 0*k**m.
k*(k - 1)**2*(k + 1)**2/2
Let g be ((-8 - -3)/(-5))/1. Let j(l) be the first derivative of -3/4*l**2 - g + l - 5/6*l**3. Factor j(o).
-(o + 1)*(5*o - 2)/2
Let t(u) = -5*u**3 - 4 + 5*u - 2*u**2 - 1 + 4*u**3 + u**4. Let o(b) = -b**4 + b**3 + 2*b**2 - 6*b + 6. Let q(p) = 5*o(p) + 6*t(p). Determine d so that q(d) = 0.
-1, 0, 2
Determine f, given that -11*f**3 - 58*f**5 + 22*f**5 - 11*f**2 - f**4 + 20*f**5 - 3*f + 18*f**5 = 0.
-1, -1/2, 0, 3
Let r = 173 + -168. Determine m so that -r*m**3 + 52/5*m + 8/5 - 25*m**4 + 18*m**2 = 0.
-2/5, 1
Let o(x) = 8*x**2 - 10*x - 12. Let d(g) = g**2 - g - 1. Let k(h) = -6*d(h) + o(h). Solve k(s) = 0 for s.
-1, 3
Let p be (3/4)/(495/22). Let v(g) be the third derivative of p*g**5 + 1/12*g**4 - 1/105*g**7 + 0*g**3 - 1/60*g**6 + 0*g + 0 + g**2. Factor v(c).
-2*c*(c - 1)*(c + 1)**2
Let m(s) be the second derivative of s**5/30 - s**3/3 - 2*s**2/3 - 10*s. Find t, given that m(t) = 0.
-1, 2
Find h, given that 5*h**2 + 12 - 2*h**2 + 10*h - 6*h + 8*h = 0.
-2
Suppose -8 + 10 = -n. Let p(f) = -f**4 + 5*f**3 - 3*f**2 + f. Let m(i) = i**3. Let k(v) = n*m(v) + p(v). Factor k(q).
-q*(q - 1)**3
Suppose 8*v - 6*v = 6. Find l such that -5/2*l**2 + 0 - 3/2*l**4 + 7/2*l**v + 1/2*l = 0.
0, 1/3, 1
Let d(u) be the first derivative of u**5/4 + 5*u**4/8 - 5*u**3/3 - 5*u**2 + 32. What is a in d(a) = 0?
-2, 0, 2
Let k(y) be the second derivative of y**5/360 + y**4/36 + y**3/9 + 5*y**2 + 4*y. Let f(j) be the first derivative of k(j). Suppose f(m) = 0. What is m?
-2
Let q(c) = -c**3 - 2*c**2 + c - 4. Suppose 2*l - 2 = -2*m, -3*l - 2*l + 32 = -4*m. Let z be q(m). Factor -f**3 + 0*f**z + 2*f**3 + f - 2*f**2.
f*(f - 1)**2
Let j = 19/9 - -2/9. Suppose -2/3*n**3 + 1/3*n**5 - 8/3*n**2 + 2/3*n**4 - 2/3 - j*n = 0. What is n?
-1, 2
Let v(w) be the first derivative of 2*w**3/21 - 2*w**2/7 + 2*w/7 + 4. Find j such that v(j) = 0.
1
Let i(q) be the third derivative of -q**8/168 - 23*q**7/735 - 9*q**6/140 - 13*q**5/210 - q**4/42 + 6*q**2. Factor i(s).
-2*s*(s + 1)**3*(7*s + 2)/7
Let d be (-3)/(4 - 100/24). Let g be (-4)/d + 58/18. Find w such that 0 - 4/3*w + 2*w**2 - 2/3*w**g = 0.
0, 1, 2
Let o(t) = -2*t**3 - 2*t**2 + 10*t - 28. Let x(a) = -1. Let j(c) = 2*o(c) - 44*x(c). Let j(k) = 0. What is k?
-3, 1
Let u be (-3)/(1 - 5/2). Let -38*t**3 + 20*t**3 - 4*t**2 - 4*t**u + 4*t**2 = 0. What is t?
-2/9, 0
Let f = 61 + -57. Factor -4*n**f + 0*n - 3*n**5 - 2/3*n**2 + 0 + 11/3*n**3.
-n**2*(n + 2)*(3*n - 1)**2/3
Let p be 2*(-1 + 2 + 0). Let b(o) be the first derivative of 1/27*o**6 + 0*o**5 - 1/9*o**4 + 0*o - p + 1/9*o**2 + 0*o**3. Let b(y) = 0. What is y?
-1, 0, 1
Factor -27 + 54 - 6*o**3 - 2*o + 8*o + 2*o**2 - 29.
-2*(o - 1)*(o + 1)*(3*o - 1)
Let d be 3/((-9)/(-6)) - 1. Let y be d + -123*(-2)/10. Find z, given that y*z**4 + 2/5 + 224/5*z**3 + 26/5*z + 24*z**2 = 0.
-1, -1/4
Suppose z + r - 2 = 0, z - 4*r + 8 = -z. Suppose -3*q = -4*n - 18, z = -q - 4*n + n - 7. Factor 4/7*b - 2/7*b**q - 2/7.
-2*(b - 1)**2/7
Let f(r) = -7*r**4 + 8*r**3 + 3*r**2 - 2*r + 4. Let z(x) = 13*x**4 - 15*x**3 - 6*x**2 + 5*x - 8. Let d(h) = -11*f(h) - 6*z(h). Find m such that d(m) = 0.
-2, 1, 2
Let o be 9*(4/(-3) - -2). Let w be 10/(-30) - (-4)/o. Solve 0 + w*r**2 + 0*r = 0.
0
What is f in 0 + 9/2*f - 3/2*f**2 = 0?
0, 3
Factor 3*u**2 - 79 + 2*u + 158 - u**4 - 79.
-u*(u - 2)*(u + 1)**2
Suppose -2*x + 11 = -k, 6*k = 3*k - x - 5. Let c(j) = j + 3. Let s be c(k). Let 0*r**3 + 3*r - 9*r + s*r**3 - 2*r**3 - 6*r**2 - 2 = 0. Calculate r.
-1
Factor -8/15 + 2/15*z**2 + 0*z.
2*(z - 2)*(z + 2)/15
Let j(n) = 2*n**4 - 6*n**3 - 8*n**2 + 5. Let h(t) = -t**4 + t**2 - 1. Let p(z) = 5*h(z) + j(z). Factor p(u).
-3*u**2*(u + 1)**2
Suppose -7*m + 43 = -3*m + k, -3*m - 2*k = -36. Factor 8 + m*h**2 + 6*h - 4*h**3 - 12*h + 2*h**3 - 10*h.
-2*(h - 2)**2*(h - 1)
Factor 1/3*x**2 + 4/3 - 4/3*x.
(x - 2)**2/3
Suppose -3/2*b**2 + 1/2*b**3 + 1/2*b**4 + 1 - 1/2*b = 0. Calculate b.
-2, -1, 1
Let d(s) be the second derivative of 49*s**6/30 + 133*s**5/20 + 19*s**4/4 - 25*s**3/6 + s**2 + 15*s. Find z such that d(z) = 0.
-2, -1, 1/7
Let x = 80 - 398/5. Let f = 189/460 + -1/92. Solve 0*c**2 - x*c + 0 + f*c**3 = 0.
-1, 0, 1
Suppose 1 = -l + 3*v, 4*v + 14 = 5*l - 3. Suppose 1/2*q**3 + 0*q**2 + 0 + 0*q**4 - 1/4*q - 1/4*q**l = 0. Calculate q.
-1, 0, 1
Let j be 2*2/(-16) - (-4 + 3). Suppose 1/4*w**2 + 3/4*w**4 + j*w**3 + 1/4*w**5 + 0 + 0*w = 0. What is w?
-1, 0
Suppose 0 = 5*l - 3*l - 4. 