 210*n + 41 + 5 + 25*n**2 - 19 = 0?
2/5, 8
Solve 27*f + 3*f**2 - 58*f + 25*f - 9 = 0.
-1, 3
Let t(g) be the first derivative of -2/21*g**3 - 4 - 2/7*g + 4/35*g**5 + 1/42*g**6 - 5/14*g**2 + 1/7*g**4. Factor t(p).
(p - 1)*(p + 1)**3*(p + 2)/7
Let x(j) = j**2 + 16*j + 2. Let s(f) = f**3 + 11*f**2 + 11*f - 6. Let b be s(-10). Let v be x(b). Let 2/7*w**v + 4/7*w + 0 = 0. Calculate w.
-2, 0
Factor 3*n + 39/4*n**3 + 3/4*n**5 + 9/2*n**4 + 0 + 9*n**2.
3*n*(n + 1)**2*(n + 2)**2/4
Let l(z) be the first derivative of 7*z**3/6 - 3*z**2/4 + 25. Factor l(q).
q*(7*q - 3)/2
Find f, given that -2/5*f**2 + 2/5*f + 4/5 = 0.
-1, 2
Suppose 0 = -m - 2*r - 3, -2*r = m + 2*r + 3. Let c be (-2)/20*(-5 - m). Suppose 0 - 1/5*i - c*i**2 = 0. Calculate i.
-1, 0
Suppose -98*b**4 - 79*b - 24 - 526*b**2 - 599*b**3 + 151*b**3 - 121*b = 0. What is b?
-3, -1, -2/7
Suppose 0*p**3 - 32/21*p - 2/21*p**4 + 0 + 8/7*p**2 = 0. What is p?
-4, 0, 2
Let g(u) be the third derivative of -u**5/12 + 5*u**4/24 + 15*u**2. Factor g(c).
-5*c*(c - 1)
Let q = 28 + -111/4. Let a be (4/(-5))/(-6 + (-168)/(-30)). Factor o + q*o**4 - 1/2*o**3 + 1 - 3/4*o**a.
(o - 2)**2*(o + 1)**2/4
Let g be (-2)/(-3) + 7/(-6) + 2. Factor -1/2*l**4 + g*l**2 - 5/2*l + 1 + 1/2*l**3.
-(l - 1)**3*(l + 2)/2
Let d be (2/(-6))/(1/(-6)). Let r be (4/(-112))/((-4)/64). Suppose 0*t**d - 4/7*t - 2/7 + r*t**3 + 2/7*t**4 = 0. Calculate t.
-1, 1
Factor 37*w**3 - 5*w**3 - 5*w**5 - 17*w**3 + 10*w**2.
-5*w**2*(w - 2)*(w + 1)**2
Suppose -2*m = -3*m. Suppose -3 = -u - m. Solve -2 - 10*r**2 + 6*r + u + 3 = 0 for r.
-2/5, 1
Let a(c) = -5*c**4 + c**3 + 2*c**2. Let d(w) = -6*w**4 + w**3 + 3*w**2. Let i(m) = m**2 - 2*m + 2. Let g be i(2). Let s(x) = g*d(x) - 3*a(x). Factor s(q).
q**3*(3*q - 1)
Let m(v) be the second derivative of 1/30*v**3 + 0*v**2 + 0 - 2*v + 1/100*v**5 - 1/30*v**4. Determine r, given that m(r) = 0.
0, 1
Suppose 2*p = -6*p + 32. Determine r, given that -2/3*r**3 - r**2 - 1/6 - 1/6*r**p - 2/3*r = 0.
-1
Suppose b = 6*b - 15. Let k be (1 + -3 + b)*3. Suppose -5*g**3 + 0 + 4*g**3 - k*g**2 - 1 - 3*g = 0. What is g?
-1
Suppose -334 + 135 = -3*k + f, 59 = k - 4*f. Let m = 605/9 - k. Solve -2/9*y**3 + m + 2/9*y - 2/9*y**2 = 0 for y.
-1, 1
Let v = 54 - 48. Let g(a) be the third derivative of 1/168*a**8 + 0*a**3 + 1/105*a**7 + 0*a**4 - 1/60*a**v + 0 + 0*a - 1/30*a**5 - a**2. Factor g(d).
2*d**2*(d - 1)*(d + 1)**2
Let y be 3 + -1 - (9 + 3). Let m be ((-72)/150)/(4/y). Let -4/5 - 2/5*h**2 + m*h = 0. Calculate h.
1, 2
Suppose -2*w + 4*w = 32. Suppose -w = -5*a - 6. Suppose -2*g - 4*g**2 - 1 + 0*g**a + 3*g**2 = 0. What is g?
-1
Let g = -124/3 + 42. Let o(j) be the first derivative of 0*j**4 - g*j**3 + 2/5*j**5 - 3 + 0*j + 0*j**2. Factor o(m).
2*m**2*(m - 1)*(m + 1)
Let g(n) = -n**2 - 2*n + 3. Let o be g(-3). Let v(t) be the second derivative of 0*t**3 + 0 + 2*t + o*t**2 - 2/35*t**5 - 1/42*t**4. Find m such that v(m) = 0.
-1/4, 0
Suppose -3*n = -9 + 3. Factor 3 + 0*l**2 - 1 - 5*l**2 + l**2 + n*l**4.
2*(l - 1)**2*(l + 1)**2
Let u(r) be the second derivative of r**5/70 + 5*r**4/56 + r**3/7 + r**2 - 2*r. Let i(k) be the first derivative of u(k). Factor i(g).
3*(g + 2)*(2*g + 1)/7
Let v be (-6)/27 - 4/(-18). Let g(o) be the second derivative of 2*o - 1/42*o**7 + 0*o**2 + 0*o**5 + 1/30*o**6 + 0*o**4 + v*o**3 + 0. Factor g(l).
-l**4*(l - 1)
Let s(j) be the first derivative of j**3/15 - j**2 + 5*j + 4. Factor s(p).
(p - 5)**2/5
Let t = -11313 - -45485/4. Let f = t - 58. What is l in -f*l**2 + 0*l + 0 = 0?
0
Factor -5*a**2 - 48 - 82*a - 55*a + 37*a - 452.
-5*(a + 10)**2
Let r(w) = 4*w**2 + 4*w - 3. Let g(t) = 3*t**2 + 4*t - 3. Let s(o) = -5*g(o) + 4*r(o). Factor s(k).
(k - 3)*(k - 1)
Let g(p) be the second derivative of -p**5/90 - p**4/18 - p**3/9 - p**2/9 + p. Factor g(v).
-2*(v + 1)**3/9
Let g(k) be the third derivative of 2*k**7/105 - k**6/120 - k**5/30 + k**4/24 - 4*k**2. Let w(u) = -u**2. Let s(f) = -g(f) - 2*w(f). What is x in s(x) = 0?
-1, 0, 1/4, 1
Let 2/7*v**3 + 0 - 2/7*v**2 + 0*v = 0. What is v?
0, 1
Let m(y) = y**2 - 4*y. Let u(p) = p**3 + 5*p**2 - 8*p - 8. Let n be u(-6). Let b be m(n). Factor -2/3*t**2 - 2/3*t**3 + 0*t + b + 2/3*t**4 + 2/3*t**5.
2*t**2*(t - 1)*(t + 1)**2/3
Suppose 2/7*b**2 + 0*b + 2/7*b**4 + 4/7*b**3 + 0 = 0. Calculate b.
-1, 0
Suppose -2*u = -4*u - 6. Let g(i) = 6*i**3 - 3*i**2 - 3*i. Let c(w) = w**4 + 11*w**3 - 5*w**2 - 5*w. Let r(j) = u*c(j) + 5*g(j). Let r(t) = 0. What is t?
-1, 0
Let p(u) be the first derivative of u**8/1680 + u**7/210 + u**6/72 + u**5/60 - 4*u**3/3 + 4. Let v(r) be the third derivative of p(r). Factor v(j).
j*(j + 1)**2*(j + 2)
Let p = 13 + -8. Factor -4*j**4 + 2*j**3 - j + 2*j**p + j.
2*j**3*(j - 1)**2
Let b(x) be the second derivative of -x**7/420 + x**6/180 + 5*x**3/6 - 6*x. Let k(f) be the second derivative of b(f). Let k(g) = 0. What is g?
0, 1
Let m(l) = l**2 + 12*l + 22. Let s be m(-10). Suppose -2*o + s + 2 = 0. Factor -2/9 + 0*x + 2/9*x**o.
2*(x - 1)*(x + 1)/9
Let d = 100/3 - 688/21. Factor 10/7*l + 2/7*l**3 + 8/7*l**2 + d.
2*(l + 1)**2*(l + 2)/7
Factor 23*b + 148*b**2 - 18*b**3 + 27*b - 12 - 58*b - 30*b**3.
-4*(b - 3)*(3*b - 1)*(4*b + 1)
Let n(t) be the second derivative of -t**6/420 - 2*t**5/105 - 5*t**4/84 - 2*t**3/21 - 3*t**2/2 - 3*t. Let a(d) be the first derivative of n(d). Factor a(w).
-2*(w + 1)**2*(w + 2)/7
Suppose 6*d + 10 = 8*d. Let v(p) be the third derivative of 1/10*p**d + 1/112*p**8 - 1/35*p**7 - 1/8*p**4 - 2*p**2 + 0 + 0*p**6 + 0*p**3 + 0*p. Factor v(t).
3*t*(t - 1)**3*(t + 1)
Let h(t) be the first derivative of t**8/1008 - t**7/630 - t**6/360 + t**5/180 + t**2/2 + 3. Let l(i) be the second derivative of h(i). Factor l(b).
b**2*(b - 1)**2*(b + 1)/3
Let c(a) = a**2 + 34*a + 4. Let b be c(-34). Find d such that 0 + 1/2*d - 11/4*d**3 - d**b - 5/4*d**2 = 0.
-2, -1, 0, 1/4
Suppose -6 = -0*m - 2*m. Factor 5 - z**m + 2*z + z - 3.
-(z - 2)*(z + 1)**2
Let -112/5*h - 288/5*h**3 + 64/5*h**4 + 12/5 + 324/5*h**2 = 0. Calculate h.
1/4, 1, 3
Find k such that -1/4*k**3 - 3/4*k**4 - 1/2 + 1/4*k + 5/4*k**2 = 0.
-1, 2/3, 1
Solve -1/6*n**3 + 1/6*n - 1/6 + 1/6*n**2 = 0 for n.
-1, 1
Let d(i) be the third derivative of 2*i**8/21 + 424*i**7/735 + 73*i**6/60 + 247*i**5/210 + 13*i**4/21 + 4*i**3/21 + i**2. Suppose d(o) = 0. Calculate o.
-2, -1, -2/7, -1/4
Let f(s) = s**2 - s - 1. Let d = 2 + 0. Let a(j) = 2*j**2 - 4*j**2 + 2*j**2 + 4*j + 2*j**2 - 2*j**3 - 6. Let n(q) = d*f(q) - a(q). Factor n(o).
2*(o - 1)**2*(o + 2)
Let a(r) be the third derivative of -r**7/105 - r**6/30 - r**5/30 - 6*r**2. Find w, given that a(w) = 0.
-1, 0
Solve -3/7*u**4 + 0 - 4/7*u**5 + 3/7*u**2 - 1/7*u + 5/7*u**3 = 0 for u.
-1, 0, 1/4, 1
Let d = 35/116 - 3/58. Factor d*j**2 + j + 3/4.
(j + 1)*(j + 3)/4
Let d(g) be the third derivative of -1/24*g**4 + 3*g**2 + 0 - 1/30*g**5 + 1/140*g**7 + 1/120*g**6 + 0*g + 1/12*g**3. Factor d(b).
(b - 1)*(b + 1)**2*(3*b - 1)/2
Let n = 25 + -24. Let m be (-18)/(-8) + -2 - 0. Factor -3*i - m*i**4 - 3/2*i**3 - 13/4*i**2 - n.
-(i + 1)**2*(i + 2)**2/4
Let v(a) be the second derivative of -1/12*a**3 + 1/40*a**5 - 6*a + 0 + 0*a**2 + 0*a**4. Find s, given that v(s) = 0.
-1, 0, 1
Factor -25 + 15*p - 10*p**3 - 5*p + 12 + 5*p**4 + 8.
5*(p - 1)**3*(p + 1)
Let r(f) be the second derivative of -f**7/1120 - f**6/480 - f**3/2 - 2*f. Let d(m) be the second derivative of r(m). Suppose d(b) = 0. What is b?
-1, 0
Let v(p) be the second derivative of 1/42*p**7 + 0 + 0*p**3 + p - 7/120*p**6 + 1/30*p**5 + 0*p**4 - p**2. Let a(u) be the first derivative of v(u). Factor a(r).
r**2*(r - 1)*(5*r - 2)
Factor -19*v**4 + 14*v**4 - 6*v**2 + 10*v**3 + v**2.
-5*v**2*(v - 1)**2
Let i = 4/21 + 13/42. Let f(z) = z**3 + 7*z**2 + 5*z - 4. Let u be f(-6). Determine p, given that 1/2*p**u + i - p = 0.
1
Let k(u) = 2*u**2 - 2*u - 2. Let h be k(2). Let 2/3*l - 2/3*l**3 + 2/3*l**h - 2/3 = 0. Calculate l.
-1, 1
Let q(g) = 11*g**2 + 10*g + 11. Let z(y) = 12*y**2 + 10*y + 12. Let i(v) = -7*q(v) + 6*z(v). Suppose i(s) = 0. What is s?
-1
Let y be -1*(-1 + 6/(-2)). Factor -y*n + 7*n**3 + n**2 - n**3 + 2*n**3 - 4*n**3 - 1.
(n - 1)*(n + 1)*(4*n + 1)
Suppose w + 1 = 2*a, -13 = -4*w - 2*a + 3. Let k be w/(-21)*-16 - 2. Find j such that 2/7 + k*j**2 - 4/7*j = 0.
1
Let n(z) = z**2 + 1. Let i(s) = s. Let m(y) = 2*i(y) + n(y). Solve m(d) = 0 