 + 14.
4*(o - 7)*(o + 1)
Let v(i) be the second derivative of 5*i**4/12 + 135*i**3/2 - 205*i**2 + 1891*i. Let v(o) = 0. What is o?
-82, 1
Let d(r) = -16*r**2 + 64. Let i(z) = z**2 - 4. Suppose 27*y = -14*y + 41. Let t(v) = y*d(v) + 20*i(v). Factor t(m).
4*(m - 2)*(m + 2)
Let b(w) be the second derivative of 2*w + 122 + 145/21*w**3 + 37/21*w**4 + 72/7*w**2 + 1/70*w**5. Factor b(d).
2*(d + 1)**2*(d + 72)/7
Let x(h) be the second derivative of 2*h**5/25 - 187*h**4/30 + 137*h**3/15 + 46*h**2/5 - 1570*h. What is b in x(b) = 0?
-1/4, 1, 46
Let g(j) = 568*j + 6. Let y be g(0). Let b(t) be the first derivative of -4/5*t**5 + 16/3*t**3 + 2/3*t**y + 11 + 0*t**2 + 0*t - 4*t**4. Factor b(u).
4*u**2*(u - 2)*(u - 1)*(u + 2)
Let i(h) be the third derivative of -11*h**5/30 + 35*h**4 - 76*h**3/3 - 531*h**2. Find t, given that i(t) = 0.
2/11, 38
Let c be (-141)/282*3/((-3)/(-4)). Let d be -46*c/24 - (-45)/54. Factor -2/3*k**3 - 2 - 10/3*k**2 - d*k.
-2*(k + 1)**2*(k + 3)/3
Find g, given that -41*g**5 - 18*g**3 - 26*g**4 + 39*g**5 + 210*g**2 - 364*g + 444*g + 820*g - 56*g**3 = 0.
-6, -5, 0, 3
Solve 360*y**2 - 560*y - 25 - 75*y**3 - 46*y**4 + 24*y**4 + 25 + 27*y**4 = 0 for y.
0, 4, 7
Let q(v) be the first derivative of 132*v**5/5 + 106*v**4 + 368*v**3/3 + 48*v**2 - 3644. Suppose q(l) = 0. What is l?
-2, -2/3, -6/11, 0
Let u(j) be the third derivative of 26/27*j**3 - 25 + 2*j**2 - 1/270*j**5 + 0*j - 11/108*j**4. Factor u(r).
-2*(r - 2)*(r + 13)/9
Factor 150*f**3 + 12991*f**2 - 26*f**5 - 72 + 28*f**5 - 30*f**4 + 240*f - 13281*f**2.
2*(f - 6)**2*(f - 1)**3
Let i(m) = -3*m**4 - 6*m**3 - 3*m**2 - 3*m - 6. Let q(f) = f**5 + 2*f**4 - 4*f**3 + f**2 + f + 2. Let k(w) = -i(w) - 3*q(w). Determine v so that k(v) = 0.
-3, 0, 2
Let i(d) = -d**2 + 7*d. Suppose -l = -3*l - 4*x + 14, 3*x = 2*l - 14. Let n be i(l). Factor -4*p + 3*p**2 + n*p - 5*p**2.
-2*p*(p + 2)
Suppose -13/7*v**2 - 24/7 + 1/7*v**4 + 2/7*v**3 - 38/7*v = 0. What is v?
-3, -2, -1, 4
Let b(q) be the third derivative of -q**5/210 + 163*q**4/42 - 323*q**3/7 - 186*q**2 - 2. Factor b(t).
-2*(t - 323)*(t - 3)/7
Factor 3/8*q**2 + 21/8*q - 117/4.
3*(q - 6)*(q + 13)/8
Let q(k) = -30*k**4 - 1752*k**3 + 1182*k**2 - 195*k. Let l(r) = -31*r**4 - 1748*r**3 + 1181*r**2 - 194*r. Let m(g) = -3*l(g) + 4*q(g). Factor m(w).
-3*w*(w + 66)*(3*w - 1)**2
Let f(b) be the third derivative of -b**5/210 + 45*b**4/28 + 866*b**2. Find v, given that f(v) = 0.
0, 135
Let r(i) be the first derivative of -2*i**3/45 - 182*i**2/15 - 48*i - 6908. Factor r(s).
-2*(s + 2)*(s + 180)/15
Suppose 0 = -5*v - m - 0*m + 14, -4*m - 4 = 0. Let k = 463 - 461. Let -7*q**3 + 10*q**v - q - k*q + 0*q = 0. Calculate q.
-1, 0, 1
Let b(d) be the third derivative of -17/18*d**3 + 0*d + 2*d**2 + 1/10*d**5 + 2/9*d**4 - 1/630*d**7 + 35 - 2/45*d**6. Suppose b(h) = 0. What is h?
-17, -1, 1
Let m(a) = 10*a**3 - 109*a**2 - 213*a - 101. Let g(s) = 3*s**3 - 36*s**2 - 71*s - 34. Let l(j) = -21*g(j) + 6*m(j). Let l(z) = 0. Calculate z.
-1, 36
Let t(p) = -2*p**2 - 2*p - 2. Suppose 5*f - 14 = -2*f. Let h(a) = -1 - 3*a - a**f - 3*a**2 - 3. Let j(o) = 6*h(o) - 11*t(o). Determine c, given that j(c) = 0.
1
Let b(v) = 0 - 6*v**2 - 16 - 22*v**3 - 4*v + 23*v**3. Let q be b(7). Suppose 5*h - 9*h**4 - q*h**4 + 10*h**2 + 4*h**4 - 5*h**5 = 0. What is h?
-1, 0, 1
Let m be (-56)/(-102) + 151250/(-1870) + 81. Factor -96 - 4/3*r**3 + 46/3*r**2 + 16*r - m*r**4.
-2*(r - 3)**2*(r + 4)**2/3
Factor 10/9*t**2 + 62/9*t - 8.
2*(t - 1)*(5*t + 36)/9
Let o = -707939/5 + 140516. Let t = 1074 + o. Determine k so that 2/5 - t*k - 13/5*k**2 = 0.
-1, 2/13
Factor 44760 + 79520*u + 15*u**3 - 627*u**2 + 35896 - 505*u**2 - 11*u**3.
4*(u - 142)**2*(u + 1)
Suppose -55*u = 5*f - 51*u + 2, -4*f + 3*u = -17. Find d, given that 6/23*d**f + 2/23*d**3 + 0 + 0*d = 0.
-3, 0
Let i(n) be the first derivative of 0*n + 7/9*n**2 + 217 + 2/9*n**3. Factor i(s).
2*s*(3*s + 7)/9
Let k(f) be the third derivative of -f**7/105 - f**6/4 - 5*f**5/6 + 5*f**4/4 + 26*f**3/3 + 2243*f**2. Suppose k(l) = 0. What is l?
-13, -2, -1, 1
Let d = 998755 + -3995017/4. Suppose 21/4*k + d*k**2 + 15/2 = 0. Calculate k.
-5, -2
Let t = -15531 + 15534. Let x(g) be the second derivative of -1/3*g**3 - 35*g + g**4 - t*g**2 - 1/21*g**7 + 1/5*g**5 - 1/5*g**6 + 0. Let x(f) = 0. Calculate f.
-3, -1, 1
Let p be 7 - (4 - 2) - (-12)/(-4). Suppose 0*s**p - 6*s**2 - 75 - 70*s + 21*s**2 - 10*s**2 = 0. What is s?
-1, 15
Let g be (71/(1207/(-34)))/(-1 + -6). Factor 0*s + g*s**3 - 10/7*s**2 + 0.
2*s**2*(s - 5)/7
Let k be 1*1862*216/252. Determine t, given that 161*t**4 - 157*t**4 - 1410*t - 34*t - 34*t**3 - 122*t**3 + k*t**2 = 0.
0, 1, 19
Let g(l) be the third derivative of l**7/42 + 85*l**6/24 + 225*l**5 + 23750*l**4/3 + 500000*l**3/3 + 139*l**2 - 2*l + 1. Factor g(y).
5*(y + 20)**3*(y + 25)
Let d(u) be the third derivative of u**7/1050 + 3*u**6/25 + 23*u**5/100 - 71*u**4/60 + 47*u**2 + 1. Find p, given that d(p) = 0.
-71, -2, 0, 1
Let x(d) = 6*d**4 - 2*d**3 - d**2 - 3*d - 7. Let h(a) = -10*a + 132*a**2 + 8*a - a**3 + 5*a**4 - 134*a**2 - 6. Let s(f) = 7*h(f) - 6*x(f). Factor s(q).
-q*(q - 2)**2*(q - 1)
Let b(p) = -25*p - 500. Let a be b(-20). Let h(k) be the second derivative of -1/27*k**3 + 1/18*k**4 + 1/135*k**6 - 1/30*k**5 - 10*k + 0 + a*k**2. Factor h(u).
2*u*(u - 1)**3/9
Let h = 367 - 364. Factor -6*o + 148*o**4 - 2*o - 147*o**4 - 7*o**h + 14*o**2.
o*(o - 4)*(o - 2)*(o - 1)
Let l(p) be the third derivative of 0*p - 1/24*p**4 - 1/60*p**5 - 1/6*p**3 + 0 + 33*p**2. Let r(m) = 34*m**2 - 14*m - 1. Let d(q) = -2*l(q) + r(q). Factor d(v).
(6*v - 1)**2
Let w(p) be the first derivative of p**3/30 + p**2/4 - 12*p/5 + 1343. Find k, given that w(k) = 0.
-8, 3
Let z = 369996 - 2589970/7. Factor -z*i**2 - 18/7*i - 4.
-2*(i + 2)*(i + 7)/7
Factor 41*l**2 + 47*l + 180*l - 3*l**3 + 37*l**2 - 59*l.
-3*l*(l - 28)*(l + 2)
Suppose -3*l + 16 = -4*d, 0 = -0*l + 5*l + 2*d - 18. Let f be (-5)/15*(0 - 15). Factor -6*a**f + 12*a**5 - 4*a**3 + l*a**2 - a - 16*a**2 + 10*a**4 - a + 2.
2*(a - 1)*(a + 1)**3*(3*a - 1)
Let l(p) be the first derivative of 0*p**2 + 10/7*p**3 + 1/14*p**4 + 0*p + 44. Factor l(x).
2*x**2*(x + 15)/7
Let n = 4/34373 - -274916/584341. Factor -18/17*r**2 + 0 + n*r**5 + 0*r + 84/17*r**3 - 50/17*r**4.
2*r**2*(r - 3)**2*(4*r - 1)/17
Let a = -2/1933 + 19344/13531. Let w be (24*(32/(-6))/16)/(-4). Solve 0*b - 4/7*b**w - 6/7*b**4 + 0 + a*b**3 = 0.
0, 2/3, 1
Let u(v) be the second derivative of -5*v**7/42 - 3*v**6 + 139*v**5/4 - 60*v**4 - 450*v**3 + 2160*v**2 - 1569*v - 2. Solve u(k) = 0.
-24, -2, 2, 3
Let n(i) = -6*i**2 - 2687*i - 2706. Let o(r) = 14*r**2 + 6716*r + 6762. Let u(z) = -12*n(z) - 5*o(z). Factor u(s).
2*(s - 669)*(s + 1)
Suppose 0 = -5*p - 5*x + 70, -2*x = 23*p - 19*p - 48. Let u be 4 + (-65)/25 - (-2)/p. Factor 4/5*v**2 - 12/5*v + u.
4*(v - 2)*(v - 1)/5
Factor 0*s - 46863/5*s**3 - 744/5*s**4 - 90774/5*s**2 + 0 - 3/5*s**5.
-3*s**2*(s + 2)*(s + 123)**2/5
Let v = -144387/13 - -11107. Factor -2/13*z**5 + 24/13*z**2 - 8/13*z**4 + 0 + v*z**3 - 18/13*z.
-2*z*(z - 1)**2*(z + 3)**2/13
Let r be -14*-11*(-816)/(-27489). Factor -r - 34/7*m - 2/7*m**2.
-2*(m + 1)*(m + 16)/7
Let -1/2*d**4 - 134*d - 17/2*d**3 + 92 + 63*d**2 = 0. What is d?
-23, 2
Let z(u) be the second derivative of -u**6/75 + 3*u**5/50 + 2*u**4/15 - 756*u + 2. Factor z(n).
-2*n**2*(n - 4)*(n + 1)/5
Let x(b) be the second derivative of 0*b**2 - 4/15*b**6 - 2/21*b**7 + 0*b**4 - 1/5*b**5 - 2*b - 6 + 0*b**3. Factor x(d).
-4*d**3*(d + 1)**2
What is f in -7*f**2 + 52*f**2 - 36*f**2 - 5*f**2 - 1088*f + 2160 = 0?
2, 270
Suppose -3*a = -6*l + 3*l + 6, 5*a = 2*l - 1. Suppose 3*k - 4*c = -11, l*k + c - 4 = 2*c. Solve -4*w**4 - 15*w**3 + 3*w - 16*w**2 + 63*w**3 - 33*w**k + 2 = 0.
-1/4, 1, 2
Let z be (-6)/(-56) - (-755985)/70700. Factor -6/5*i**2 - z*i**3 + 51/5*i + 3/5*i**5 + 27/5 - 21/5*i**4.
3*(i - 9)*(i - 1)*(i + 1)**3/5
Let d be 7 + (-1)/(-3)*(0 + -12). Suppose 10*x**2 + 2*x**2 - d*x**2 - 13*x**2 + x**2 - 120 + 39*x = 0. What is x?
5, 8
Suppose -n + 0 - 54 = 2*j, 0 = -j + 4. Let w = -60 - n. Solve 50 + 187*h**w + 5 - 192*h**2 - 10 = 0.
-3, 3
Let b be -1*4/(-12)*15. Let s(i) be the second derivative of 0 + 0*i**2 + 1/4*i**b + 5/12*i**4 - 1/6*i**6 + 9*i - 5/6*i**3. Suppose s(y) = 0. Calculate y.
-1, 0, 1
Let y(n) = 6*n**2 