. What is o?
0, 1
Determine c so that -3*c**2 + 13 - 4 - 25*c + 49*c - 30*c = 0.
-3, 1
Let w(v) be the second derivative of v**7/14 + v**6/10 - 3*v**5/4 + 3*v**4/4 + 6*v. Solve w(r) = 0.
-3, 0, 1
Let x be ((-40)/(-68))/5 + (-32)/(-17). Let w = 5 + -5. Factor 0*c + 3/5*c**5 + w*c**4 - 3/5*c**3 + 0 + 0*c**x.
3*c**3*(c - 1)*(c + 1)/5
Let c(a) be the third derivative of -a**5/150 - 4*a**2. Solve c(r) = 0 for r.
0
Let n(d) be the second derivative of -d**6/360 - d**5/45 - d**4/24 - 5*d**2/2 + 5*d. Let y(x) be the first derivative of n(x). Suppose y(a) = 0. What is a?
-3, -1, 0
Let d = 7585/48 - 158. Let r(p) be the second derivative of 0 + p + 1/12*p**3 + 0*p**2 + d*p**4. Factor r(q).
q*(q + 2)/4
Let z(d) be the first derivative of 7*d**4/6 - 4*d**3/9 - 7*d**2/3 + 4*d/3 + 38. Factor z(l).
2*(l - 1)*(l + 1)*(7*l - 2)/3
Let 9/5*h**2 + 3/5 - 3/5*h**3 - 9/5*h = 0. Calculate h.
1
Let a be (-448)/(-176) + (-12)/22. Determine s, given that -2/7*s**a - 6/7*s - 4/7 = 0.
-2, -1
Let g = 4 - 0. Let f = 24 - 21. Factor -5*v**3 + 2*v**3 - 7*v**3 + 7*v**g + 2*v**2 + v**f.
v**2*(v - 1)*(7*v - 2)
Let w = 8 - 4. Find t such that 9*t**w - 16*t - 45*t**2 + 39*t**4 + 0*t**4 + 24*t**3 - 3 - 8*t = 0.
-1, -1/4, 1
Let d(a) be the second derivative of -a**4/24 + a**3/3 - a**2 - a. Factor d(w).
-(w - 2)**2/2
Let h(z) be the first derivative of -6*z**5/5 - 21*z**4/4 - 6*z**3 + 3*z**2/2 + 6*z + 10. Suppose h(i) = 0. Calculate i.
-2, -1, 1/2
Let l(r) = -1. Let c(w) = w**2 + 4*w + 4. Let s(o) = 3*c(o) + 12*l(o). Determine q so that s(q) = 0.
-4, 0
Suppose -15 = 2*j + 3*j, 4 = -g - 3*j. What is a in -5*a**3 + 3*a**3 - 4*a**2 - 10*a**3 + 2 + 6*a**g + 3*a**4 - a**4 + 6*a = 0?
-1, -1/3, 1
Let q(m) = -m + 12. Let n(h) = 4*h - 48. Let o(t) = 2*n(t) + 9*q(t). Let w be o(8). Factor -3 + 36*r - 5*r**3 + 6*r**2 - 3*r**w - 24 - 7*r**3.
-3*(r - 1)**2*(r + 3)**2
Let -4/3*f + 0 - 2/3*f**5 - 2/3*f**2 + 2/3*f**4 + 2*f**3 = 0. What is f?
-1, 0, 1, 2
Suppose 0 = i - l - 7, 0*i - 3*l - 11 = -i. Let t(s) be the first derivative of -2/21*s**3 + 0*s**4 + 0*s - 2 + 2/35*s**i + 0*s**2. Factor t(k).
2*k**2*(k - 1)*(k + 1)/7
Suppose 15*b - 2 = 14*b. Factor 5/2*r + 1 + 3/2*r**b.
(r + 1)*(3*r + 2)/2
Let u(l) be the second derivative of -l**8/140 + l**7/70 - l**6/120 + l**3/3 - 2*l. Let n(i) be the second derivative of u(i). Find t such that n(t) = 0.
0, 1/2
Solve -15*b**2 + 29*b**2 + 2*b - 13*b**2 = 0 for b.
-2, 0
Suppose -s = 3*v - 8, -v - 3*v + 12 = 0. Let o = 1 + s. Factor o*b - 2/5*b**3 + 2/5*b**2 + 0.
-2*b**2*(b - 1)/5
Let j(v) be the third derivative of -v**5/210 - 2*v**4/21 - v**3/3 - 6*v**2. Factor j(w).
-2*(w + 1)*(w + 7)/7
Let j be (-8)/20 + (-36)/(-15). Find q, given that -1/2*q**j + 1/2*q + 0 = 0.
0, 1
Suppose -w - 2*w = -5*f + 27, 4*w + 13 = -f. Suppose -4*c = -2*b + 4, 2*b - f*c - 2 = 2. Factor 14*h - 14*h + h**b.
h**2
Let y = 29 - -12. Let f be (-3 - y/(-5)) + -4. Let -4/5*j**3 - f*j**2 + 0 - 2/5*j = 0. What is j?
-1, -1/2, 0
Let o be -2*(3 - (-9)/(-2)). Find g, given that g**2 + 3*g**5 + 2*g**2 - o*g + 9*g - 3*g**4 - g**3 - 8*g**3 = 0.
-1, 0, 1, 2
Suppose 3*j + 3 = 4*w + 12, j + 2*w = 3. Let o(z) be the first derivative of 0*z**j + 0*z + 0*z**2 - 1 + 1/6*z**4. What is g in o(g) = 0?
0
Factor -280*z**2 + 176*z - 6 - 34 + 8 + 502*z**3 - 402*z**3.
4*(z - 2)*(5*z - 2)**2
Let t(h) = -h**3 - 11*h**2 - 11*h - 8. Let s be t(-10). Solve 6 - 4*b**s - 2*b - 6*b + 5*b**2 + b**2 = 0 for b.
1, 3
Let h(d) be the first derivative of 2*d**5/35 + 3*d**4/7 + 26*d**3/21 + 12*d**2/7 + 8*d/7 - 32. Find b, given that h(b) = 0.
-2, -1
Find r such that -24*r**2 + 8*r**2 - 11*r**4 + 23*r**4 - 16*r**3 = 0.
-2/3, 0, 2
Let y be 1 + 1 - -1 - -2. Let f(d) = -1 + y - 8*d - 3. Let k(r) = r**2 - r + 1. Let m(l) = -2*f(l) + 6*k(l). Suppose m(o) = 0. Calculate o.
-1, -2/3
Let y be 2*-2*(-9)/(-1). Let x be (-15)/y - (-1)/4. Suppose -2*s**2 + x + 16/3*s**4 - 8/3*s + 20/3*s**3 = 0. What is s?
-1, 1/4, 1/2
Let x(y) be the second derivative of -y**6/240 - y**5/32 - 3*y**4/32 - 7*y**3/48 - y**2/8 + 11*y. Let x(c) = 0. Calculate c.
-2, -1
Suppose 2*v = -3*h + 3 + 7, 2*h + v = 7. Let 4*l + l**4 + l**2 - 6*l**3 - h*l**2 + 2*l**4 + 2*l = 0. What is l?
-1, 0, 1, 2
Let t = -5 - -7. Factor -5 - t*q**2 + 2*q**2 + 2*q + 2*q**2 + 1.
2*(q - 1)*(q + 2)
Let f(j) be the first derivative of -1/2*j**2 - 1/3*j**3 + 1 + 4*j - 1/12*j**4. Let x(m) be the first derivative of f(m). Factor x(v).
-(v + 1)**2
Suppose 24*y - 12 = 20*y. Let x be y/(45/(-10))*-1. Factor 2/3 + 4/3*u**3 - x*u - 2/3*u**5 + 2/3*u**4 - 4/3*u**2.
-2*(u - 1)**3*(u + 1)**2/3
Let h(z) be the third derivative of -z**7/5460 - z**6/585 - z**5/156 - z**4/78 - z**3 + 2*z**2. Let w(x) be the first derivative of h(x). Factor w(t).
-2*(t + 1)**2*(t + 2)/13
Let t be (2/(-120))/((-7)/14). Let v(w) be the second derivative of 0*w**2 + t*w**4 + 0 + w + 1/15*w**3. Factor v(b).
2*b*(b + 1)/5
Factor 0*u - 2/5*u**3 - 1/5*u**2 + 0 + 3/5*u**4.
u**2*(u - 1)*(3*u + 1)/5
Let o(i) be the first derivative of -3 + 6/7*i - 2/7*i**3 + 3/14*i**2 - 3/28*i**4. Factor o(y).
-3*(y - 1)*(y + 1)*(y + 2)/7
Suppose 0 = -i + 22 - 19. Let -1/2*c**4 + 0*c**i - 1/4*c + 0 + 1/2*c**2 + 1/4*c**5 = 0. Calculate c.
-1, 0, 1
Suppose -p = 5*m - 5, -p + 2*p + 4 = 4*m. Let k(w) be the third derivative of p - 5*w**2 - 2/9*w**3 - 1/90*w**5 + 0*w - 1/12*w**4. Factor k(t).
-2*(t + 1)*(t + 2)/3
Let y(m) be the second derivative of m**7/273 + 2*m**6/195 - m**4/39 - m**3/39 - 11*m. Solve y(l) = 0 for l.
-1, 0, 1
Let y = 87/209 + -1/19. Solve -2/11*a**4 + 0 - y*a**3 - 2/11*a**2 + 0*a = 0.
-1, 0
Let a(g) = g**3 + 1. Let h(q) = 8*q**2 + 4. Let m(v) = 4*a(v) - h(v). Factor m(k).
4*k**2*(k - 2)
Suppose -j - 3 = -2*j. Suppose 0 = -4*a - j*z + z + 10, -5*z - 14 = -3*a. Factor 3 - 3 + i**2 - i**a.
-i**2*(i - 1)
Factor -11*i**2 - 10/3*i**3 - 1/3*i**4 - 40/3*i - 16/3.
-(i + 1)**2*(i + 4)**2/3
Let j(d) be the third derivative of -d**6/40 - d**5/10 + 5*d**2. Factor j(w).
-3*w**2*(w + 2)
Factor 4/3*t**3 + 10/9*t**4 + 2/9*t**5 - 14/9*t - 2/3 - 4/9*t**2.
2*(t - 1)*(t + 1)**3*(t + 3)/9
Let g(w) = 2*w**3 - 14*w**2 + 8*w. Let o(t) = t**3 - 9*t**2 + 5*t. Let m(q) = 5*g(q) - 8*o(q). Let m(v) = 0. What is v?
-1, 0
Let h = -9 + 7. Let z be h*(-3)/(-6)*-2. Factor 2/3*j**3 + 2/3*j**4 + 0*j**z + 0 + 0*j.
2*j**3*(j + 1)/3
Determine k so that -5*k + 2 - 23*k**3 + 28*k**3 - 3 + 3*k**2 + 2 - 4*k**4 = 0.
-1, 1/4, 1
Let r(p) = 12 - 1 - 2*p + p. Let t be r(9). Find n such that 0 - 1 - 3*n**t + 4*n**2 = 0.
-1, 1
Let b be 15/6 - (-3)/2. Solve 3 + 4*v + 3*v**3 - 3*v**b - 10*v + 3*v**3 = 0 for v.
-1, 1
Let w(x) = -3*x - 2. Let o be w(-2). Let k = 15/19 + -67/133. Suppose k*a**o - 2/7*a**2 - 2/7*a + 0 + 2/7*a**3 = 0. What is a?
-1, 0, 1
Factor -4/9*b**3 + 2/9*b + 4/9*b**2 - 2/9*b**4 - 2/9 + 2/9*b**5.
2*(b - 1)**3*(b + 1)**2/9
Let p(o) = 4*o**4 + o**3 - 4*o**2 + 2*o. Let d(h) = 9*h**4 + h**3 - 9*h**2 + 4*h. Let v(k) = 6*d(k) - 10*p(k). Determine f, given that v(f) = 0.
-1, 0, 2/7, 1
Suppose 0*t = -2*t + 4. Let g = 2/205 + 201/410. Suppose 0 - g*n**t + n = 0. Calculate n.
0, 2
Let z be 92/48*-2 - -4. Let l(w) be the first derivative of -z*w**3 - 1/16*w**4 + 1 - 1/8*w**2 + 0*w. Suppose l(y) = 0. What is y?
-1, 0
Let -2/3*i**2 + 0 + 1/3*i + 1/3*i**3 = 0. Calculate i.
0, 1
Let b(i) be the third derivative of i**5/60 - i**4/24 - i**3/6 - 6*i**2. Let y(s) = -s**2 + 9*s + 5. Let z(h) = -5*b(h) - y(h). Factor z(l).
-4*l*(l + 1)
Let m(p) = 7*p**2 - 7*p. Let b(t) = 10*t**2 - 10*t. Let y(s) = -5*b(s) + 7*m(s). Find r such that y(r) = 0.
0, 1
Suppose 0 = -2*v + 1 + 5. Suppose -1 = 2*s - 4*b + 1, -b = v*s - 4. Suppose -2*i**2 + 0 + s + 1 + 0 = 0. What is i?
-1, 1
Let n(i) = -i - 7. Let w be n(-11). Let b = w + -4. Find s, given that -1/4*s**3 - 1/4*s + b - 1/2*s**2 = 0.
-1, 0
Let s(t) be the third derivative of t**5/15 + t**4 - 14*t**3/3 + 22*t**2. Suppose s(u) = 0. Calculate u.
-7, 1
Let k(q) be the first derivative of q**6/4 + 6*q**5/5 + 3*q**4/2 - 20. Factor k(h).
3*h**3*(h + 2)**2/2
Let s = -84/5 - -17. Solve 0*t - 3/5*t**3 - 1/5*t**5 + 3/5*t**4 + 0 + s*t**2 = 0 for t.
0, 1
Factor 0 - 4/9*y - 2*y**3 - 22/9*y**2.
-2*y*(y + 1)*(9*y + 2)/9
Let l(p) be the first derivative of -p**6/9 + 4*p**5/15 - 4*p**3/9 + p**2/3 + 9. What is x in l(x) = 0?
-1, 0, 1
Let p = 1500/7 + -214. Let p*b**