*h - 2/5*h**3 - 2/5*h**4 + 0 + o*h**2.
-2*h**3*(h + 1)/5
Let l(x) be the second derivative of -1/105*x**6 - 1/147*x**7 + 1/35*x**5 - 10*x + 1/21*x**4 + 0 - 1/7*x**2 - 1/21*x**3. Factor l(t).
-2*(t - 1)**2*(t + 1)**3/7
Let j = -47929 - -47929. Determine v, given that 0*v - 4/7*v**2 + 6/7*v**3 - 2/7*v**4 + j = 0.
0, 1, 2
Let h(m) be the first derivative of m**5/5 - 3*m**4/4 - 2*m**3/3 + 6*m**2 - 8*m - 3. Let h(g) = 0. Calculate g.
-2, 1, 2
Suppose 20/11 + 74/11*p + 6/11*p**3 + 4*p**2 = 0. Calculate p.
-5, -2, -1/3
Let v(i) be the third derivative of 1/12*i**5 + 0 + 25/6*i**3 + 0*i + 26*i**2 + 5/4*i**4. Factor v(c).
5*(c + 1)*(c + 5)
Let a(k) be the second derivative of -k**4/30 - 34*k**3/15 + 7*k**2 + k - 9. Factor a(z).
-2*(z - 1)*(z + 35)/5
Suppose -49*s = -22*s - 108. Determine m, given that -1/2*m**2 + 5/2*m**3 + 0*m + 0 - 2*m**s = 0.
0, 1/4, 1
Solve 235 + 24*f - 93 - 90 + f**2 - 72 - 5*f = 0.
-20, 1
Let f(v) be the first derivative of -v**6/2 + 38*v**5/5 - 93*v**4/2 + 144*v**3 - 459*v**2/2 + 162*v + 22. Let f(a) = 0. Calculate a.
2/3, 3
Let h(n) be the first derivative of 4/5*n**5 + 0*n + 0*n**3 - 3 + 0*n**2 - n**4. Determine u, given that h(u) = 0.
0, 1
Let s be 560/(-4095)*(-18)/4. Solve -2/13 - 8/13*u - 6/13*u**2 + s*u**3 + 8/13*u**4 = 0.
-1, -1/2, 1
Let d(x) be the first derivative of 0*x**2 - 6/17*x**3 - 1/34*x**4 - 25 + 0*x. Factor d(q).
-2*q**2*(q + 9)/17
Let y = 1/517 - -1546/2585. Suppose 3/5*q - y*q**2 + 6/5 = 0. Calculate q.
-1, 2
Let k(y) = -272*y + 1392. Let q be k(5). Factor -44/3*r**3 + 4/3*r**4 + q*r**2 + 0 + 48*r.
4*r*(r - 6)**2*(r + 1)/3
Let x(i) be the first derivative of i**5/50 + i**4/15 - i**3/15 - 2*i**2/5 - 24*i - 4. Let h(o) be the first derivative of x(o). Solve h(n) = 0 for n.
-2, -1, 1
Let u = 170 - 509/3. Let h(p) be the second derivative of 2/105*p**6 - 1/35*p**5 + 1/147*p**7 - 4/21*p**4 - 2/7*p**2 - u*p**3 + 4*p + 0. Solve h(g) = 0.
-1, 2
Suppose -b + m + 5 = 0, -2*m + 2 = -2*b - 4*m. Suppose -b*h + 11 = -7. Factor -4 - 4*o + 0*o + 22*o - h*o**2 + o**2.
-2*(o - 2)*(4*o - 1)
Determine i, given that -42/11*i - 24/11*i**2 - 2/11*i**3 + 196/11 = 0.
-7, 2
Suppose 14 - 65 = -3*z. Let c = z - 14. Let -t + c*t**2 - t**2 + 5*t - 2*t**3 = 0. Calculate t.
-1, 0, 2
Let h = 65250/7 - 9396. Let i = 75 + h. Let -i*g**4 - 3/7*g**2 + g**3 + 2/7 - 3/7*g = 0. What is g?
-2/3, 1
Let a(s) = 2*s**5 - s**4 + s**3 + 2*s**2 - s. Let z(n) = -12*n**5 + 15*n**4 - 13*n**3 - 10*n**2 + 5*n. Let p(t) = -5*a(t) - z(t). Suppose p(v) = 0. Calculate v.
0, 1, 4
Let s be 8 + -4 + (6 - 0). Suppose 3*b**2 - 13*b - 6 + 6*b + s*b = 0. What is b?
-2, 1
Factor f**3 - 10*f - 374*f**2 + 368*f**2 - 6*f.
f*(f - 8)*(f + 2)
Let l(r) be the first derivative of -1/1080*r**6 + 0*r - 2/3*r**3 + 5 + 0*r**4 + 0*r**2 - 1/360*r**5. Let d(b) be the third derivative of l(b). Factor d(i).
-i*(i + 1)/3
Let g(d) be the second derivative of 0*d**2 - 1/40*d**5 + 0 + 1/12*d**3 + 1/24*d**4 - 12*d - 1/60*d**6. Factor g(b).
-b*(b - 1)*(b + 1)**2/2
Let g(c) be the third derivative of c**6/120 - 2*c**5/15 + 2*c**2 + 2*c. Factor g(t).
t**2*(t - 8)
Let p(k) be the first derivative of -16*k**6/15 + 144*k**5/25 - 97*k**4/10 + 24*k**3/5 - 4*k**2/5 + 586. Factor p(b).
-2*b*(b - 2)**2*(4*b - 1)**2/5
Let x = -1562 - -1565. Let o(j) be the third derivative of 1/8*j**4 + 7*j**2 - 1/120*j**6 + 0 + 1/3*j**x + 0*j + 0*j**5. Factor o(r).
-(r - 2)*(r + 1)**2
Determine i, given that -480*i**3 + 125/3*i**5 - 592/3*i**2 + 0 - 80/3*i - 1100/3*i**4 = 0.
-2/5, 0, 10
Let l(p) = -2*p**2 + 3*p**2 + p**2 - 6*p + 2 - p**2. Let f be l(6). Determine o so that 13*o + 0*o**2 - 19*o - 3*o**f = 0.
-2, 0
Let t(z) = 12*z + 92. Let a be t(-7). Let x be 1/(-6) + a + 278/(-60). Determine d so that 12*d**2 + 18/5*d**3 + 56/5*d + x = 0.
-2, -2/3
Factor 4/7*x**2 + 16/7*x - 20/7.
4*(x - 1)*(x + 5)/7
Let f be ((-35)/(-28))/(10/36). Let b(l) be the second derivative of 0 - f*l**2 - 3*l - 2*l**3 - 1/4*l**4. Determine y, given that b(y) = 0.
-3, -1
Let g(m) = 5*m**3 - 9*m**2 + 3*m - 1. Let c(x) = 7*x**2 - 3*x**3 - 6*x**2 - x + 2*x**3 + 0*x. Let o(l) = 6*c(l) + g(l). Solve o(d) = 0.
-1
Let 20/3 + 2/9*v**2 + 26/9*v = 0. What is v?
-10, -3
Suppose -14*h + 32 = -10*h. Suppose 8*i = -h*i. Find u such that i - u - 7/2*u**2 = 0.
-2/7, 0
Let x be (-14)/5*(-5)/1. Let l = x + -10. Factor s - 4*s + s**2 + l - s.
(s - 2)**2
Let b(m) = 4*m**4 - 11*m**3 - 18*m**2 + 29*m - 19. Let v(f) = 28*f**4 - 76*f**3 - 124*f**2 + 204*f - 132. Let q(r) = -20*b(r) + 3*v(r). Solve q(u) = 0 for u.
-2, 1, 2
Let z(j) = -j**3 + 6*j**2 + 2. Let k be z(6). Let a be k + 3/(27/30). Factor 0 - a*g**3 + 5/3*g**2 + 3*g**4 + 2/3*g.
g*(g - 1)**2*(9*g + 2)/3
Suppose -2*k + 2 = -8. Factor 29*m**2 - 30*m**2 + 3*m - k*m + 3*m.
-m*(m - 1)
Let m(r) be the second derivative of 0 - 1/16*r**4 + 12*r - 1/80*r**5 + 3/8*r**2 + 1/24*r**3. Let m(f) = 0. Calculate f.
-3, -1, 1
Let a(f) be the third derivative of 0*f + 1/75*f**5 - 2/15*f**3 + 1/150*f**6 - 1/30*f**4 + 0 - 7*f**2. Suppose a(p) = 0. What is p?
-1, 1
Let a(u) be the third derivative of 17*u**2 + 0*u**3 + 0*u - 13/120*u**5 + 0 - 1/24*u**4. Let a(o) = 0. Calculate o.
-2/13, 0
Let i(u) be the first derivative of -9 + 24/5*u**3 + 48/5*u + 48/5*u**2 + 3/25*u**5 + 6/5*u**4. Factor i(f).
3*(f + 2)**4/5
Let l(v) = -4*v**4 - 22*v**3 - 30*v**2 - 10*v - 2. Let b(a) = a**3 + a**2 - a + 1. Let z(m) = -2*b(m) - l(m). Determine p, given that z(p) = 0.
-3, -1, 0
Suppose 5*q + 6 = -9. Let j(o) = o**4 - o**3 - o**2 - o + 1. Let g(i) = 7*i**4 - 2*i**3 - 7*i**2 - 4*i + 3. Let h(k) = q*j(k) + g(k). Solve h(n) = 0.
-1, -1/4, 0, 1
Let q(z) = 9*z + 45. Let m be q(-9). Let p be m/112*40/(-15). Factor -4/7*u**2 - p*u - 2/7.
-2*(u + 1)*(2*u + 1)/7
Determine u, given that -4/7*u**3 + 120/7 + 24/7*u**2 + 148/7*u = 0.
-3, -1, 10
Suppose 2*g - j = 9, g + 4*j + 9 = -0*g. Suppose 3 = -c - g*q, 2*c + 2*q = -0*c + 14. Factor 6*h**2 + c*h**3 + 0*h**3 + 4*h**4 + 0*h**4 + 2*h**2.
4*h**2*(h + 1)*(h + 2)
Let m(c) be the third derivative of c**6/960 + c**5/48 - 23*c**4/192 + c**3/4 - 27*c**2. Find j such that m(j) = 0.
-12, 1
Let h(a) be the first derivative of -a**9/1512 - a**8/420 - 2*a**3/3 + 33. Let s(y) be the third derivative of h(y). Factor s(c).
-2*c**4*(c + 2)
Factor 1/2*i**4 + 0 - i**3 - 1/2*i**2 + i.
i*(i - 2)*(i - 1)*(i + 1)/2
Let w(z) be the third derivative of -3*z**7/70 - 4*z**6/5 - 47*z**5/10 - 5*z**4 + 25*z**3/2 + 85*z**2. What is a in w(a) = 0?
-5, -1, 1/3
Let y(l) be the second derivative of -7/45*l**6 + 0 + 0*l**3 - 2/27*l**4 + 0*l**2 + 8/45*l**5 - 10*l + 1/21*l**7. Solve y(z) = 0.
0, 2/3, 1
Let m = -24622 + 172358/7. What is b in -8/7*b**3 - m*b + 10/7*b**2 + 2/7*b**4 + 0 = 0?
0, 1, 2
Let c be (-9460)/(-19250) - ((-4)/(-25))/(-2). Suppose -2*b - 10/7*b**3 - 18/7*b**2 - 2/7*b**4 - c = 0. What is b?
-2, -1
Let n = -32 - -43. Suppose -3*k - 10 = 5*f, n = -k - 5*f + 1. Determine z so that k - 1/5*z**2 - 2/5*z = 0.
-2, 0
Determine w so that -21/2*w + 12*w**2 - 3/2*w**3 + 0 = 0.
0, 1, 7
Let m(g) = g**2 - 20*g - 1. Let s be m(21). Factor 8*w - 2*w**2 + 28*w**3 + s*w**3 + 8 - 50*w**3.
-2*(w - 2)*(w + 1)*(w + 2)
Let j(l) = -7*l - 98. Let b be j(6). Let u be b/(-175) + (-6)/20. Suppose -u*f**4 + 3/2*f**2 + f**3 - 2 - 2*f = 0. What is f?
-1, 2
Let z(a) be the second derivative of -a**7/525 + a**6/300 + a**5/150 - a**4/60 - 9*a**2 - 10*a. Let k(u) be the first derivative of z(u). Solve k(y) = 0 for y.
-1, 0, 1
Let n(r) be the third derivative of -r**5/570 - 13*r**4/38 - 507*r**3/19 - 195*r**2. Factor n(b).
-2*(b + 39)**2/19
Let l = -790 - -790. Factor -2/3*d**3 + l - 5/3*d**2 + 2/3*d + 5/3*d**4.
d*(d - 1)*(d + 1)*(5*d - 2)/3
Let c be (20/(-28))/((-48)/28). Let h(g) be the second derivative of -1/2*g**3 + 0 - 2*g - 9/2*g**2 + c*g**4 - 1/20*g**5. Factor h(a).
-(a - 3)**2*(a + 1)
Find g, given that 42632/5*g + 2/5*g**3 - 584/5*g**2 + 0 = 0.
0, 146
Factor 50*v + 200*v**2 + 160*v + 40 + 82*v - 53*v**3 + v**3.
-4*(v - 5)*(v + 1)*(13*v + 2)
Let r be (3 + (14 - 15))/(1/3). Factor -3/2*u**2 - r + 15/2*u.
-3*(u - 4)*(u - 1)/2
Suppose -2*w + 7 = -3. Let j(s) = s**3 - 4*s**2 - 2*s - 5. Let i be j(w). Factor -8*x**3 - 2*x**5 + i*x**4 - 44*x**2 + 52*x**2 - 2*x**3 - 6*x**3.
-2*x**2*(x - 2)**2*(x - 1)
Let l(h) = -21*h**4 + 24*h**3 + 27*h**2 - 24*h - 9. Let c(n)