16*x**5/5 - 9*x**4/2 - 8*x**3 + 809*x**2. Suppose p(c) = 0. Calculate c.
-4, -2/7, 2
Let l(c) be the third derivative of -c**5/210 + c**4/6 - 16*c**3/7 - 192*c**2. Factor l(n).
-2*(n - 8)*(n - 6)/7
Suppose u + 3*i - 14 = 0, -2*i = u + 2*u - 21. Let j(s) be the first derivative of -4 - 1/3*s**4 - 8/3*s - 2/15*s**u + 2/3*s**3 + 4/3*s**2. Factor j(y).
-2*(y - 1)**2*(y + 2)**2/3
Let f(b) be the first derivative of b**4/20 + 2*b**3/3 + 6*b**2/5 - 72*b/5 - 64. Suppose f(a) = 0. Calculate a.
-6, 2
Solve -45*y - 363/2*y**2 - 30*y**4 + 0 - 369/2*y**3 = 0 for y.
-5, -3/4, -2/5, 0
Let s be (-14)/(-5) - -3*3/45. Let a be 2/s*(225/(-40))/(-15). Factor -1/2*o + 0*o**2 + 1/4 + 1/2*o**3 - a*o**4.
-(o - 1)**3*(o + 1)/4
What is x in -70012*x**2 - 89976*x**3 + 42768*x - 90080*x**2 - 53294*x**2 + 47930*x**2 - 15402*x**4 - 867*x**5 - 2592 = 0?
-6, 2/17
Let m = 24493/5070 - -2/845. Let u = m + -25/6. Solve -u*k + 0 + 1/3*k**3 + 1/3*k**2 = 0 for k.
-2, 0, 1
Let q(x) = x**2 + 7*x - 5. Let t(r) = 4*r + 4. Let k be t(-3). Let m be q(k). Find i such that -i - 2*i**2 - 3*i**m + 3*i + i**3 + 2*i**4 + 0*i**3 = 0.
-1, 0, 1
Let a(r) be the third derivative of 5*r**2 + 0*r + 0*r**3 + 0*r**4 + 0*r**5 + 0*r**6 + 1/1050*r**7 + 0. Determine k so that a(k) = 0.
0
Let n(p) be the third derivative of 0*p**3 - 10*p**2 + 5/1176*p**8 - 1/1470*p**7 + 0*p**5 + 0 + 0*p**4 + 0*p - 1/420*p**6. Factor n(o).
o**3*(2*o - 1)*(5*o + 2)/7
Let b(o) = 8*o**3 + 12*o**2 - 12*o - 32. Let l(r) = 9*r**3 + 13*r**2 - 11*r - 32. Let z(v) = 5*b(v) - 4*l(v). Factor z(j).
4*(j - 2)*(j + 2)**2
Let h(r) be the first derivative of r**5/60 + r**4/12 - r**3/2 + 14*r**2 - 7. Let t(d) be the second derivative of h(d). Factor t(b).
(b - 1)*(b + 3)
Let o(a) = a**3 - 19*a**2 - 14*a + 3. Let s be 20/(-11) + 4*1/(-22). Let k(g) = 18*g**2 + 14*g - 2. Let t(j) = s*o(j) - 3*k(j). Find b, given that t(b) = 0.
-7, -1, 0
What is i in -86/7*i**2 + 58/7*i**3 - 16/7 - 18/7*i**4 + 2/7*i**5 + 60/7*i = 0?
1, 2, 4
Let o be (-3 + 9)*(-1)/(-2). Find c such that o*c**5 - 13*c**3 + 4*c**3 - 9*c**2 + 3*c**4 - 7*c**2 + 6*c + 13*c**2 = 0.
-2, -1, 0, 1
Let m = 0 - 17. Let o = m - -21. Suppose -8*q**2 + 0 + 9 - 4*q**4 + 20*q + o*q**5 + 3 - 24*q**3 = 0. What is q?
-1, 1, 3
Let u = -212 + 216. Let g(i) be the second derivative of -9/2*i**2 - 1/12*i**u + 0 + i**3 - i. Factor g(m).
-(m - 3)**2
Let n = 1188/5 + -237. Let r(d) be the first derivative of n*d**2 + 0*d**3 - 5 - 3/10*d**4 + 3/5*d - 3/25*d**5. Determine o, given that r(o) = 0.
-1, 1
Suppose z = 4*h - 22, 4*h + 3*z = -0*z + 14. Let v(g) be the second derivative of -2/3*g**3 + 1/3*g**4 + 0 + 0*g**2 + h*g. Suppose v(k) = 0. Calculate k.
0, 1
Let l(b) be the third derivative of b**6/144 - b**5/24 - 5*b**4/16 - 25*b**3/36 - 336*b**2. Let l(w) = 0. Calculate w.
-1, 5
Let o(n) = 29*n**3 + 10*n**2 - 25*n + 12. Let m(q) = -14*q**3 - 5*q**2 + 13*q - 6. Let f(s) = -13*m(s) - 6*o(s). Factor f(d).
(d - 1)*(d + 2)*(8*d - 3)
Let t(x) be the third derivative of -x**8/504 + 4*x**7/105 - 7*x**6/60 - 49*x**5/45 - 90*x**2. Factor t(i).
-2*i**2*(i - 7)**2*(i + 2)/3
Let k(q) be the third derivative of 0*q + 0*q**3 + 0 + 0*q**6 + 1/20*q**5 + 3*q**2 - 1/12*q**4 - 1/210*q**7. Let k(o) = 0. What is o?
-2, 0, 1
Let w = -23 + 23. Let v(g) be the third derivative of 0*g**4 + w*g + 0 - 5*g**2 - 1/18*g**3 + 1/180*g**5. Solve v(d) = 0 for d.
-1, 1
Let l(a) = a**3 + a**2 - a. Let n(m) = 24*m**3 + 138*m**2 + 147*m - 84. Let x(r) = 9*l(r) - n(r). Suppose x(d) = 0. Calculate d.
-7, -2, 2/5
Let a(d) be the third derivative of d**7/280 + d**6/48 + 7*d**3/3 - 4*d**2. Let m(w) be the first derivative of a(w). Solve m(f) = 0 for f.
-5/2, 0
Let h(p) = 4*p + 108. Let n be h(-27). Let a(b) be the third derivative of 8/3*b**3 - 2*b**4 + 4*b**2 + n + 1/3*b**5 + 0*b. Find f, given that a(f) = 0.
2/5, 2
Let o = 219 + -216. Let w(g) be the second derivative of 0 - 1/20*g**5 - 1/6*g**4 + 1/6*g**o + g**2 - 2*g. Factor w(n).
-(n - 1)*(n + 1)*(n + 2)
Suppose 3*d**4 - 7*d**4 - 9*d**3 - 8*d**3 - 40*d**2 - 13*d**3 - d**4 = 0. Calculate d.
-4, -2, 0
Suppose 14*f - 47 = -5. Suppose -f*t**4 - 62*t - 15*t**3 + 29*t - 24*t**2 + 21*t = 0. What is t?
-2, -1, 0
Suppose -729 = 4*g - 3197. Suppose 4*d + 5 - g = 0. Factor -32 + 52*m**3 - d*m**4 + 0*m + 56*m**2 + 165*m**4 - 16*m.
4*(m + 1)*(m + 2)**2*(3*m - 2)
Suppose -44*h = 153*h - 40*h - 471. Factor -3/4*s**4 + 9/2*s**h + 9*s - 3 - 39/4*s**2.
-3*(s - 2)**2*(s - 1)**2/4
Let r be 6/4 - 3546/2268. Let b = 205/252 + r. Find j, given that -b - 1/4*j**2 - j = 0.
-3, -1
Let s be 252/48 + 1/(-4). Factor 8*k + 6*k**3 - 252*k**4 + 20*k**3 + 48*k**5 + 78*k**2 - 22*k**2 + 114*k**s.
2*k*(k - 1)**2*(9*k + 2)**2
Let d(m) be the third derivative of -19*m**5/150 + 5*m**4/12 - 2*m**3/5 + 574*m**2. Determine v, given that d(v) = 0.
6/19, 1
Let m(g) = g**4 + 2*g**2. Let a(p) = 4*p**4 - 4*p**3 + 8*p**2 + 4*p + 3. Let c(t) = a(t) - 5*m(t). Factor c(r).
-(r - 1)*(r + 1)**2*(r + 3)
Suppose 6*z + 14*m - 42 = 16*m, -4*z - 4*m - 4 = 0. Solve 0*y - 2/11*y**4 + 2/11*y**3 + 0 + 2/11*y**2 - 2/11*y**z = 0.
-1, 0, 1
Let k(y) = 5*y**2 - 7*y - 12. Suppose -34*d - 80 + 522 = 0. Let m(o) = 2*o**2 + 8*o**2 - 26 - 13*o + 1. Let g(x) = d*k(x) - 6*m(x). Factor g(w).
(w - 3)*(5*w + 2)
Let d(r) be the third derivative of 0*r + 26 - 1/10*r**5 + 4/3*r**3 + 1/60*r**6 + 0*r**4 - 2*r**2. Factor d(h).
2*(h - 2)**2*(h + 1)
Factor -79434*z**4 - 7668*z**3 + 40420*z**5 - 215*z**2 - 2*z + 0*z - 9990*z**4 + 6236*z**5.
z*(z - 2)*(36*z + 1)**3
Solve 1/6*k**4 - 161/6*k + 113/6*k**2 - 49 - 19/6*k**3 = 0.
-1, 6, 7
Suppose 0*b = 2*b - 4, 0 = -2*m + 3*b. Suppose -5*x = 3*k - 2*k + 15, 0 = -m*x - 9. Find q, given that 8/11*q + 18/11*q**3 + k + 24/11*q**2 = 0.
-2/3, 0
Let m be (1 - 5)*(-14)/392. Let v(u) be the first derivative of -1/7*u - 1/21*u**3 - m*u**2 - 1. Let v(n) = 0. What is n?
-1
Suppose -2*d**4 - 6*d - 131*d**2 + 75*d**2 + 54*d**2 + 2*d**3 + 4 + 4*d**3 = 0. Calculate d.
-1, 1, 2
Let o(u) be the third derivative of 0 - 1/315*u**7 - 1/15*u**5 + 2*u**2 + 8/9*u**3 + 11*u + 1/9*u**4 - 1/36*u**6. Factor o(m).
-2*(m - 1)*(m + 2)**3/3
Let x(m) be the third derivative of -m**6/30 - 143*m**5/5 - 20449*m**4/2 - 5848414*m**3/3 + 581*m**2. Suppose x(o) = 0. Calculate o.
-143
Let z = 864028/9 + -94928. Let x = -1074 + z. Factor 4/9*p + 2/3*p**3 + 2/9*p**4 + 0 - x*p**2 - 2/9*p**5.
-2*p*(p - 1)**3*(p + 2)/9
Let r(o) be the third derivative of -1/42*o**3 + 1/1470*o**7 + o - 1/84*o**4 + 0*o**5 + 1/420*o**6 + 0 + 13*o**2. Solve r(q) = 0 for q.
-1, 1
Let v(c) be the third derivative of 29*c**5/180 + 43*c**4/18 - 2*c**3/3 + 183*c**2. Solve v(j) = 0 for j.
-6, 2/29
Let f(y) = 68*y**2 + 6 - 54 - 176*y**2 - 144*y. Let r(q) = -36*q**2 - 48*q - 16. Let x(c) = -3*f(c) + 8*r(c). Factor x(p).
4*(3*p + 2)**2
Let g(f) = -19*f**3 - 5*f**2 + 9*f - 5. Let j(a) = -a**3 + a**2 + a - 1. Let w = 148 - 153. Let c(d) = w*j(d) + g(d). Factor c(k).
-2*k*(k + 1)*(7*k - 2)
Let m be 6/(-4)*6/5*310/(-279). What is t in -24/17*t**5 + 2/17*t**3 - 24/17*t**m + 4/17 + 40/17*t**4 + 2/17*t = 0?
-1/2, 2/3, 1
Let q(d) be the first derivative of 8*d**6 + 124*d**5/5 + 19*d**4/2 - 34*d**3/3 + 2*d**2 + 13. What is m in q(m) = 0?
-2, -1, 0, 1/6, 1/4
Suppose 0 = n - 4*f + 30, -21*f - 10 = 3*n - 23*f. Let a = 2/21 + 26/21. Find g, given that a*g + 0 - 4/3*g**n = 0.
0, 1
Let s(c) be the second derivative of -c**4/6 + 16*c**3/3 + 17*c**2 - 118*c. Factor s(x).
-2*(x - 17)*(x + 1)
Let k(b) be the first derivative of -b**7/84 - b**6/12 - b**5/5 - b**4/6 + 30*b + 37. Let s(l) be the first derivative of k(l). Let s(g) = 0. Calculate g.
-2, -1, 0
Factor -7938 + 84*t - 2/9*t**2.
-2*(t - 189)**2/9
Factor 4/11*q + 2*q**2 + 0.
2*q*(11*q + 2)/11
Find d, given that 3/5*d**2 + 4335 + 102*d = 0.
-85
Suppose -48*z = -274*z - 106*z - 160*z. Factor 0 - 1/5*v + z*v**3 + 1/5*v**5 - 2/5*v**2 + 2/5*v**4.
v*(v - 1)*(v + 1)**3/5
Factor 896 + 864*i + 2/7*i**3 - 222/7*i**2.
2*(i - 56)**2*(i + 1)/7
Let z(w) be the third derivative of -5*w**8/112 + 23*w**7/70 - 3*w**6/4 + w**5/5 + w**4 + 103*w**2 - 3. Find p, given that z(p) = 0.
-2/5, 0, 1, 2
Let i(m) be the third derivative of 1/12*m**3 + 0 + 1/24*m**4 + 1/120*m**5 + 0*m - 4*m**2. Find q such that i(q) = 0.
-1
Let o(h) be the second derivative of -3*h**5/20 - h**4/4 + 5*h**3/2 - 9*h