*y(j). Determine n so that k(n) = 0.
-25, -1, 1, 2
Let x = -9 + 4. Let u(v) = 8*v**2 - 76*v + 20. Let z(p) = -16*p**2 + 153*p - 41. Let m(c) = x*u(c) - 2*z(c). Find l such that m(l) = 0.
1/4, 9
Determine a, given that 0*a + 0 - 18/7*a**3 - 4/7*a**2 + 52/7*a**4 = 0.
-2/13, 0, 1/2
Let v(t) be the second derivative of -t**5/20 - t**4 + 7*t**2 - 39*t. Let i(x) be the first derivative of v(x). What is a in i(a) = 0?
-8, 0
Let v(d) be the third derivative of -13*d**10/864 + d**9/252 + d**8/336 + 3*d**4/8 - 2*d**2. Let j(n) be the second derivative of v(n). Factor j(o).
-5*o**3*(7*o - 2)*(13*o + 2)
Let c be (2 + 10)*(-13)/(-13). Suppose 8*k - 2*k - c = 0. Suppose -1/4*z**k + 1/4*z**4 + 0*z + 0*z**3 + 0 = 0. Calculate z.
-1, 0, 1
Find x, given that -469*x**4 + 9*x**3 + 472*x**4 - x**2 + 7*x**2 = 0.
-2, -1, 0
Let p(t) be the second derivative of t**4/66 + 46*t**3/33 + 529*t**2/11 - 3*t + 117. Determine x so that p(x) = 0.
-23
Let d(c) be the first derivative of 0*c**2 - 1/3*c**3 + 6 - 1/4*c**4 + 0*c. Determine k, given that d(k) = 0.
-1, 0
Let b(k) = -k**4 - k**3 + k**2 - k - 1. Let r(t) = 7*t**4 + 3*t**3 - 5*t**2 + 9*t + 4. Let q(n) = -6*b(n) - r(n). Factor q(p).
-(p - 2)*(p - 1)**2*(p + 1)
Let l(w) = w**5 - 21*w**4 - 87*w**3 - 43*w**2 + 147*w + 3. Let p(n) = n**5 - 43*n**4 - 173*n**3 - 85*n**2 + 295*n + 5. Let z(r) = 5*l(r) - 3*p(r). Factor z(d).
2*d*(d - 1)*(d + 3)*(d + 5)**2
Factor -2*q**2 + 5 - 7/2*q + 1/2*q**3.
(q - 5)*(q - 1)*(q + 2)/2
Let u = 2/243 + 203/4860. Let y(c) be the third derivative of 1/20*c**5 + 4*c**2 + 0*c**3 - u*c**6 + 0 + 0*c**4 + 0*c + 1/70*c**7. Factor y(t).
3*t**2*(t - 1)**2
Let v(z) = 7*z - 1. Let l be v(1). Let c be ((-1)/l)/(1/(-4)). Let 6 + c*t**2 + 4*t = 0. Calculate t.
-3
Let c(r) be the third derivative of -r**7/12600 - r**6/1800 - 5*r**4/12 + 2*r**2. Let q(g) be the second derivative of c(g). Factor q(a).
-a*(a + 2)/5
Let q(f) be the third derivative of f**8/2016 - f**7/210 - 7*f**6/720 - 2*f**2 + 98*f. Determine w so that q(w) = 0.
-1, 0, 7
Let h(w) be the second derivative of -1/27*w**3 - 1/27*w**4 - 4*w + 1/90*w**5 + 0 + 2/9*w**2. Suppose h(l) = 0. What is l?
-1, 1, 2
Determine t so that 71/4*t**2 - 7/4*t**4 - 5/4*t**3 + 10*t + 1/4*t**5 - 25 = 0.
-2, 1, 5
Let l(w) = -5*w + 95. Let z be l(13). Let r be (z/2)/3 - 468/96. Factor 3/8*a**2 + 0*a - 1/2 - r*a**3.
-(a - 2)**2*(a + 1)/8
Factor -7/3*x - 4/3 - 7/6*x**2 - 1/6*x**3.
-(x + 1)*(x + 2)*(x + 4)/6
Suppose 135*t - 130*t = 10. Factor 14*l**t - 13*l - 19*l - 10*l**2.
4*l*(l - 8)
Solve -6/5 - 34/15*l + 4/15*l**2 = 0.
-1/2, 9
Let t(z) be the second derivative of -1/30*z**5 - 1/6*z**4 + 0*z**2 + 6*z + 0 - z**3 - 1/360*z**6. Let p(k) be the second derivative of t(k). Factor p(h).
-(h + 2)**2
Let t be ((-296)/1036)/((-2)/14). Let 0 + 2/11*u**4 + 2/11*u**5 + 0*u - 2/11*u**t - 2/11*u**3 = 0. Calculate u.
-1, 0, 1
Let v = 104 + -86. Let a be ((-12)/v)/(-3 + 16/6). Factor -o**4 - 1/4*o**5 - o**a - 1/4*o + 0 - 3/2*o**3.
-o*(o + 1)**4/4
Let i(u) be the first derivative of -11*u**4/16 + 23*u**3/6 - 41*u**2/8 + 3*u/2 - 726. Factor i(j).
-(j - 3)*(j - 1)*(11*j - 2)/4
Factor 1/5*q**2 - 68/5*q + 0.
q*(q - 68)/5
Determine k so that -2 + 7 + 116*k**3 - 3*k - 113*k**3 - 9*k**2 + 3*k**4 + 1 = 0.
-2, -1, 1
Let q(b) be the third derivative of 0*b + 1/90*b**5 - 1/9*b**3 + 11*b**2 + 0 - 1/36*b**4 + 1/180*b**6. Factor q(i).
2*(i - 1)*(i + 1)**2/3
Suppose -m - 34 = -2*f, 3*m + 0*f = -2*f - 118. Let k = 42 + m. Find h, given that 2/5*h**k + 0 + 2/5*h**3 - 2/5*h**2 - 2/5*h = 0.
-1, 0, 1
Let z(w) = -7*w**2 - 588*w - 17395. Let i(j) = 190*j**2 + 15875*j + 469660. Let b(a) = -2*i(a) - 55*z(a). Let b(t) = 0. What is t?
-59
Suppose -4*f = 2*p - 9*f + 7, f = -5*p + 50. Let z be 15/(-10)*(-12)/p. Let 2 + 0*w - 8*w**4 + 4*w - 4 + 6*w**z - 8*w**3 = 0. Calculate w.
-1, 1/2
Factor -47088/7*c**2 + 432/7*c**4 - 22892/7*c**3 - 2/7*c**5 - 23762/7*c + 0.
-2*c*(c - 109)**2*(c + 1)**2/7
Let c = 2677 + -2672. Let j(u) be the third derivative of 1/90*u**c + u**2 - 1/9*u**3 - 1/24*u**4 + 0 + 0*u. Factor j(k).
(k - 2)*(2*k + 1)/3
Let l = 11 + -15. Let q be (-4 - -22)*l/(-12). Determine g so that -5*g + q + 4*g**2 + 14*g - g**2 = 0.
-2, -1
Let z(t) be the second derivative of 6*t**5 - 3/2*t**6 + 0 + 0*t**2 + 5/42*t**7 - 23*t + 0*t**3 - 20/3*t**4. Factor z(j).
5*j**2*(j - 4)**2*(j - 1)
Suppose -3*q = 2*l + 3, -q + 8 = -2*l - 7. Let s be (-6)/(-1 + 4) - l. Determine n so that -24 - s*n**3 + 6*n**3 - 18*n**2 - 4*n + 40*n + n**3 = 0.
2
Let a = 941/1398 + -3/466. Find w, given that a*w**2 + 1/2*w - 1/3*w**4 + 0 - 5/6*w**3 = 0.
-3, -1/2, 0, 1
Let t be ((-6 - -4)/(-6))/((-1)/(-6)). Let u be (t/(-65))/(1/(-15)). Solve 2/13*f + 0 + 0*f**2 - u*f**5 - 12/13*f**3 - 16/13*f**4 = 0.
-1, 0, 1/3
Suppose -5*c - 2*b = -22 - 0, 3*c = -2*b + 14. Determine t, given that -3*t**4 - 3*t**2 + 8*t + c*t**4 + 5*t**2 - 5*t**3 = 0.
-1, 0, 2, 4
Let n(h) be the second derivative of -h**5/510 - h**4/204 + 2*h**3/51 - 2*h**2 - 18*h. Let j(v) be the first derivative of n(v). Factor j(i).
-2*(i - 1)*(i + 2)/17
Let c be 3*((-4)/(-15))/(2/5). Factor -i**c + 281 - 11*i + 2*i - 289.
-(i + 1)*(i + 8)
Let u(z) be the second derivative of 5*z - 10/9*z**3 + 0*z**2 + 0 - 1/9*z**4. Factor u(p).
-4*p*(p + 5)/3
Let d(h) be the first derivative of 3*h**5/5 + 3*h**4/4 - h**3 - 3*h**2/2 + 368. Solve d(m) = 0 for m.
-1, 0, 1
Let n(p) be the third derivative of p**7/105 - 13*p**6/30 + 6*p**5 + 50*p**4/3 - 4000*p**3/3 + 305*p**2. Factor n(o).
2*(o - 10)**3*(o + 4)
Let s = 564/2023 - -2/289. Factor -4/7*r - s - 2/7*r**2.
-2*(r + 1)**2/7
Let s(q) be the third derivative of -q**5/30 - 11*q**4/24 - q**3/3 + 39*q**2. Let l be s(-5). Solve -2/9*j**l + 4/9*j**2 - 2/9*j**4 + 0*j + 0 = 0.
-2, 0, 1
Let s(i) = -i**2 + 43*i - 330. Let q be s(33). Suppose 0*a**2 + 0 + q*a + 2/3*a**3 = 0. What is a?
0
Let v be 0 - 2/7 - 37/(-7). Determine r so that -129 - 4*r**v + 129 = 0.
0
Factor 1/6*m**2 + 0*m + 1/6*m**3 + 0 - 1/6*m**5 - 1/6*m**4.
-m**2*(m - 1)*(m + 1)**2/6
Let b(o) be the second derivative of o**4/16 - 109*o**3/8 + 13*o - 4. Factor b(h).
3*h*(h - 109)/4
Let m = 20 - 38. Let c be (m/15)/(16/(-10)). Factor 3/4 - 3/4*d**2 + 3/4*d**3 - c*d.
3*(d - 1)**2*(d + 1)/4
Let u(c) be the first derivative of 4*c**5/5 - 888*c**4 + 394272*c**3 - 87528384*c**2 + 9715650624*c - 622. Determine x, given that u(x) = 0.
222
Let i be (2 - -3)/(10/4). Factor -15*x**2 + 20*x + i*x**4 - 25*x**3 + 5*x**4 - 2*x**4 + 10*x**4 + 5*x**5.
5*x*(x - 1)**2*(x + 1)*(x + 4)
Let n(w) be the second derivative of 7*w**7/9 + 371*w**6/45 + 16*w**5 - 50*w**4 + 15*w + 22. Factor n(q).
2*q**2*(q - 1)*(7*q + 30)**2/3
Solve -1/7*x**5 + 128/7 - 86/7*x**3 - 288/7*x + 232/7*x**2 + 15/7*x**4 = 0 for x.
1, 2, 4
Let s(w) be the second derivative of -5*w - 1/15*w**4 + 0 - 2/5*w**3 - 4/5*w**2. Solve s(x) = 0.
-2, -1
Suppose a = -1, r + r + 3*a = 7. Let z be (-58)/(-18) - (-8)/(-36). Factor -113*n + 3*n**4 + 113*n - 2*n**r + 3*n**4 - 4*n**z.
-2*n**3*(n - 2)*(n - 1)
Solve 1/10*x**2 - 6/5 + 1/10*x = 0.
-4, 3
Let c(d) be the first derivative of 10*d**2 - 15*d - 5/3*d**3 + 2. Factor c(i).
-5*(i - 3)*(i - 1)
Let v(y) = 4*y**3 + 9*y**2 - 7*y + 6. Let g(z) = -z**3 - z + 1. Let b be (12/(-9))/(-1)*(-54)/12. Let u(a) = b*g(a) + v(a). What is l in u(l) = 0?
-1, 0, 1/10
Let b(o) = -2*o**2 - 17*o - 17. Let x be b(-6). Solve -3*c**2 - 39 - 8*c + x*c + 9 - 38*c = 0 for c.
-10, -1
Let s(c) be the third derivative of -c**10/10080 + c**9/6048 + c**8/4032 - c**5/20 + 14*c**2. Let a(d) be the third derivative of s(d). Factor a(y).
-5*y**2*(y - 1)*(3*y + 1)
Let c = 3312/5 - 662. Factor 0*t**2 + 0 + c*t**5 + 0*t**3 + 2/5*t**4 + 0*t.
2*t**4*(t + 1)/5
Let r(w) be the third derivative of w**6/540 + w**5/30 - w**4/108 - w**3/3 + 46*w**2. Suppose r(z) = 0. What is z?
-9, -1, 1
Let z be (48/56)/(6/14). Suppose 4*a = z*a + 3*a. Suppose 2/7*c**2 + a*c - 2/7 = 0. What is c?
-1, 1
Let s(n) be the first derivative of -5*n**4 + 0*n + 25/3*n**3 - 5/2*n**2 - 6. Determine t, given that s(t) = 0.
0, 1/4, 1
Suppose -l + 9 = -3*w - 2*w, 4*w + 4 = 0. Factor -13*f - l*f**3 - 11*f - 12*f**2 + 16*f.
-4*f*(f + 1)*(f + 2)
Let p(v) be the second derivative of -1/9*v**4 + 6*v + 0 + 2/45*v**6 + 1/15*v**5 - 2/9*v**3 + 0*v**2. Find w such that p(w) = 0.
-1, 0, 1
Determine g so tha