 8*x - 10, -6 = 3*x. Factor 2/7 - 2/7*b**v + 2/7*b - 2/7*b**3.
-2*(b - 1)*(b + 1)**2/7
Let q(j) = -4*j**2 - 2*j - 6. Suppose 0 = -4*t + 17 + 7. Let x(c) = 0 - 2*c**2 + 1 + c + 0*c**2 + 3*c**2. Let v(w) = t*x(w) + q(w). Suppose v(r) = 0. What is r?
-2, 0
Let n(l) be the first derivative of -2*l**5/55 - 3*l**4/22 - 2*l**3/11 - l**2/11 + 1. Factor n(r).
-2*r*(r + 1)**3/11
Suppose -5/2*u**4 + 35/2*u**2 + 15/2 - 5/4*u**3 + 95/4*u = 0. Calculate u.
-2, -1, -1/2, 3
Let x(i) = -i**3 - i**2 + i. Let l(c) = 5 - c - 5 - 4 + 10*c**2 + 7*c**3 + 2. Let y(j) = l(j) + 2*x(j). Solve y(b) = 0.
-1, 2/5
Let l(s) be the first derivative of 14*s**3/3 + 5*s**2 - 4*s - 6. Let l(k) = 0. Calculate k.
-1, 2/7
Let f(z) be the first derivative of 8*z**5/15 + 4*z**4/9 + z**3/9 + 4*z - 4. Let i(s) be the first derivative of f(s). Factor i(c).
2*c*(4*c + 1)**2/3
Let q be (-4)/14*(-12 + 5). Suppose -5*h = -2*p - 17, -q*h = 2*h - 5*p. Find m such that m**2 + h*m**2 + 10*m**4 + 9*m**3 - 7*m**4 = 0.
-2, -1, 0
Let k(m) = -15*m**3 + 3 - 3*m**2 + 2 + 14*m**3. Let q(a) = a**3 + 2*a**2 - a - 4. Let y(l) = 4*k(l) + 6*q(l). Factor y(f).
2*(f - 2)*(f + 1)**2
Let v(j) = j**2 - j - 2. Let a(w) = 5*w**2 - 6*w - 11. Let h(b) = -2*a(b) + 11*v(b). Find u such that h(u) = 0.
-1, 0
Let w(i) = -i + 6. Let a(g) = -g**3 - 11*g**2 + g + 14. Let b be a(-11). Let k be w(b). Factor -2*s**2 + 2/3*s**k + 2*s - 2/3.
2*(s - 1)**3/3
Factor 22/3*m**2 + 80/9*m + 32/9 + 20/9*m**3 + 2/9*m**4.
2*(m + 1)**2*(m + 4)**2/9
Let l(k) = -5*k**4 + k**3 + 14*k**2 + 20*k + 6. Let r(b) = 55*b**4 - 10*b**3 - 155*b**2 - 220*b - 65. Let g(i) = 65*l(i) + 6*r(i). Let g(w) = 0. Calculate w.
-2, -1, 0, 2
Let x(t) = -2*t**2 + 5*t - 1. Let g(r) = -2*r**2 + 5*r. Let c(u) = -4*g(u) + 3*x(u). Determine b, given that c(b) = 0.
-1/2, 3
Let z be ((-18)/(-12))/(6/8). Factor 96 + 552*u + 22638*u**4 + 31554*u**3 + 7728*u**z + 840*u + 7203*u**5 - 11562*u**3.
3*(u + 2)*(7*u + 2)**4
Let o = 649/2247 - 1/321. Solve 4/7*l + 6/7*l**2 + 0 + o*l**3 = 0 for l.
-2, -1, 0
Find t such that -3/2 - 21*t + 675/8*t**3 - 495/8*t**2 = 0.
-2/15, 1
Suppose 0 = -0*v + 2*v - 4. Factor v*r + 52 - 2*r**2 - 52.
-2*r*(r - 1)
Let y(s) be the third derivative of -s**7/1785 + 11*s**6/1020 - 19*s**5/510 + 3*s**4/68 + 4*s**2. Find q, given that y(q) = 0.
0, 1, 9
Let m = 3/62 - -87/124. Suppose 1/2 - m*p - 9/4*p**2 = 0. What is p?
-2/3, 1/3
Let p be ((-2)/16)/(5/(-20)). Let s(z) be the first derivative of 0*z**2 + p*z - 1/6*z**3 - 3. Factor s(a).
-(a - 1)*(a + 1)/2
Let i be (-4 - (-55)/(-10))*-2. Suppose t + 3*h = 6*t - i, -5*h - 15 = 0. Factor 0 + 0*g + 3/4*g**3 - 1/4*g**4 - 1/2*g**t.
-g**2*(g - 2)*(g - 1)/4
Let d = 5 + -5. Suppose d*b = -3*b. Factor 1/4*m**5 + b*m + 0*m**3 + 0 + 0*m**2 + 0*m**4.
m**5/4
Let a(s) be the second derivative of -s**4/4 + s**3 + 3*s. What is g in a(g) = 0?
0, 2
Let p(k) be the second derivative of 5*k**7/126 - k**6/18 - k**5/2 - 5*k**4/18 + 25*k**3/18 + 5*k**2/2 - 9*k. Factor p(z).
5*(z - 3)*(z - 1)*(z + 1)**3/3
Let i(t) be the second derivative of -t**8/168 + t**7/105 + t**6/60 - t**5/30 - t**2 - 2*t. Let u(q) be the first derivative of i(q). What is m in u(m) = 0?
-1, 0, 1
Let d(t) = -t - 2. Let l be d(-8). Suppose -l = -5*x + 2*x. Let p**3 - p**2 + 3*p**2 + 3*p**3 - x*p**3 = 0. What is p?
-1, 0
Factor 3*w**3 - 16*w**4 + 34*w**4 - 6*w**2 - 15*w**4.
3*w**2*(w - 1)*(w + 2)
Suppose 0 = 4*z + 12, -5*o + 4*z - 15 = -37. Let -q - 1 - 1/4*q**o = 0. What is q?
-2
Let b = 16 - 29/2. Let u(g) be the first derivative of 0*g - 1 - 1/3*g**2 - 4/3*g**3 - b*g**4. What is c in u(c) = 0?
-1/3, 0
Let q(s) be the third derivative of -s**5/75 + s**4/30 + 4*s**3/15 + 20*s**2. Suppose q(n) = 0. What is n?
-1, 2
Let c(d) = -10*d**3 - 25*d**2 - 21*d - 5. Let r(k) = k**2 + k + 1. Let y(a) = c(a) - r(a). Factor y(l).
-2*(l + 1)**2*(5*l + 3)
Suppose -5*u - s = -2*u - 8, 8 = 4*u + 4*s. Let h(p) be the first derivative of 1/9*p**u - 1/3*p**2 + 1/3*p - 2. Let h(t) = 0. Calculate t.
1
Let y = 179/6 + -373/6. Let c = y - -33. Let -8/3*r**2 + c*r + 0 = 0. What is r?
0, 1/4
Let a(r) be the first derivative of 16*r**6/15 + 48*r**5/25 - 71*r**4/10 + 6*r**3/5 + 19*r**2/5 + 6*r/5 + 10. Solve a(j) = 0.
-3, -1/4, 1
Let v(z) = z**4 + z**3. Let b(h) = 5*h**4 + 7*h**3 + 3*h**2 + h. Suppose 31 = 5*x + 11. Let y(p) = x*v(p) - b(p). Factor y(c).
-c*(c + 1)**3
Let p(d) be the first derivative of -1/26*d**4 + 7 - 5/13*d**2 - 4/13*d - 8/39*d**3. Factor p(o).
-2*(o + 1)**2*(o + 2)/13
Let j = 62 + -58. Factor 0 + 0*t**j - 1/5*t + 0*t**2 + 2/5*t**3 - 1/5*t**5.
-t*(t - 1)**2*(t + 1)**2/5
Let q(w) be the third derivative of w**7/210 + w**6/90 + 5*w**3/6 - 5*w**2. Let f(x) be the first derivative of q(x). What is i in f(i) = 0?
-1, 0
Factor -w**2 + 7 - 2 - 4 + 4*w - 4.
-(w - 3)*(w - 1)
Let k(d) be the third derivative of d**8/84 - 2*d**7/105 - d**6/15 + 2*d**5/15 + d**4/6 - 2*d**3/3 + 13*d**2. Suppose k(g) = 0. Calculate g.
-1, 1
Let t(z) be the third derivative of -z**8/8400 + z**7/1400 - z**6/900 + z**3/2 + z**2. Let g(r) be the first derivative of t(r). Factor g(d).
-d**2*(d - 2)*(d - 1)/5
Let j = -13/30 - -14/15. Factor 0*u + 1/2*u**2 + j*u**4 + 0 - u**3.
u**2*(u - 1)**2/2
Let t be 1/(-2 + 1) - -1. Suppose t*q + 2*q = 6. Factor -q*i**4 - 2*i - 5*i**4 - 2*i**5 - 12*i**3 - 8*i**2 + 0*i.
-2*i*(i + 1)**4
Let n be (-9*(-22)/693)/(2/14). Factor 0 + 0*j + 1/2*j**n.
j**2/2
Let r(f) be the second derivative of -2*f**6/75 - f**5/25 + 2*f**4/15 + 3*f. What is y in r(y) = 0?
-2, 0, 1
Let n(p) = p**2 - 5*p - 3. Let q be n(5). Let i be (-8)/6*q/12. Suppose -l - i*l**2 - 2/3 = 0. What is l?
-2, -1
Let a = 482 - 3368/7. Factor -2/7*m**4 + 2/7*m + 0 - 6/7*m**2 + a*m**3.
-2*m*(m - 1)**3/7
Let f(w) be the second derivative of -w**4/36 - w**3/3 - 3*w**2/2 - 5*w. Let f(q) = 0. Calculate q.
-3
Suppose 5*m + 7 - 37 = 0. Let v(c) be the second derivative of -1/15*c**m + 0 - 1/10*c**5 + 0*c**2 + 2*c + 0*c**4 + 0*c**3. Let v(k) = 0. Calculate k.
-1, 0
Let s(b) be the third derivative of -b**6/540 + b**4/36 - 2*b**3/27 - 20*b**2. Suppose s(n) = 0. Calculate n.
-2, 1
Let t(r) = -r**3 + r**2 + 4. Let i be t(2). Let c be ((-4)/(-10))/(8/15). Factor c*h + 3/4*h**2 + i.
3*h*(h + 1)/4
Suppose 2*k - 4 + 0 = 0. Determine l so that -1 + l - 7*l**3 + k*l**2 - l**2 + 6*l**3 = 0.
-1, 1
Suppose -6 = 2*c - 4*q, 3*q + 6 = 4*c + 3. Let y be c/(-2) - (-9 + 7). Factor -v + y*v**2 + 1/2.
(v - 1)**2/2
Factor -1/7 + 1/7*l**2 + 0*l.
(l - 1)*(l + 1)/7
Let l = -22799/50 + 456. Let h(w) be the second derivative of -l*w**5 + 0 + 1/210*w**7 + 1/30*w**3 - 1/30*w**4 + 1/10*w**2 + w + 1/150*w**6. Factor h(o).
(o - 1)**2*(o + 1)**3/5
Let q(p) = -2*p**4 + 8*p**2 + 2*p - 2. Let d(j) = -8*j**4 + 32*j**2 + 9*j - 9. Let i(t) = 2*d(t) - 9*q(t). Determine m, given that i(m) = 0.
-2, 0, 2
Let d(v) be the second derivative of 7*v**6/20 - 69*v**5/40 + 5*v**4/2 - v**3 + 10*v. What is t in d(t) = 0?
0, 2/7, 1, 2
Let -3*l + 0 + 9/2*l**4 - 9/2*l**2 + 3*l**3 = 0. Calculate l.
-1, -2/3, 0, 1
Let z be (2 + -4)*(-1)/370. Let d = z + 363/1295. Factor 4/7*r - d - 2/7*r**2.
-2*(r - 1)**2/7
Let b(g) = -g**3 + 6*g**2 + 8*g + 3. Let j be b(7). Find a such that 0*a - 3*a**2 + j + 8 + 6*a - 9 = 0.
-1, 3
Let h(o) = -11*o**3 + 28*o**2 + 8*o. Let a(c) = 17*c**3 - 42*c**2 - 12*c. Let r(p) = 5*a(p) + 7*h(p). Determine m so that r(m) = 0.
-1/4, 0, 2
Let k(l) be the second derivative of -l**8/3360 - l**7/420 + l**5/15 - l**4/4 - 2*l. Let x(d) be the third derivative of k(d). Factor x(t).
-2*(t - 1)*(t + 2)**2
Let w(s) be the third derivative of -s**10/151200 - s**9/30240 - s**8/20160 - s**5/60 - s**2. Let j(h) be the third derivative of w(h). Factor j(k).
-k**2*(k + 1)**2
Let g = -49 - -51. Let r(p) be the second derivative of 1/10*p**5 + 0*p**g + 3*p + 0 + 0*p**4 - 1/3*p**3. Factor r(q).
2*q*(q - 1)*(q + 1)
Let r(w) be the second derivative of -w**7/21 - 2*w**6/15 - w**5/10 + 10*w. Factor r(v).
-2*v**3*(v + 1)**2
Let y(g) be the first derivative of g**6/16 - 3*g**4/16 + 3*g**2/16 + 4. Factor y(a).
3*a*(a - 1)**2*(a + 1)**2/8
Let z(x) be the second derivative of 2*x**7/147 - 2*x**6/35 + 2*x**5/35 + 7*x. Factor z(g).
4*g**3*(g - 2)*(g - 1)/7
Let -1/5*c**3 + 2/5 + 3/5*c + 0*c**2 = 0. Calculate c.
-1, 2
Solve 8 + 10*o**4 + 2*o**4 - 23*o**2 - 4*o + 4*o**3 + 3*o**2 = 0.
-1, 2/3, 