 + 1/540*r**6 + 0. Find k such that m(k) = 0.
-65, -1
Let m(t) be the first derivative of -2/5*t**4 - 162 + 0*t**2 + 1/5*t**5 - 1/30*t**6 + 4/15*t**3 + 0*t. What is i in m(i) = 0?
0, 1, 2
Solve -25*o**2 - 4*o**3 + 128*o**2 + 27556 - 26892*o - 650*o**2 - 113*o**2 = 0.
-83, 1
Suppose 29*c - 531 = -148*c. Let s(q) be the second derivative of -1/6*q**4 + 4*q**2 - q**c + 0 + 10*q. Suppose s(d) = 0. What is d?
-4, 1
Determine q so that -2/3*q**2 + 422/3*q + 284 = 0.
-2, 213
Let d(r) be the third derivative of -r**7/105 - 9*r**6/20 + 33*r**5/10 + 275*r**4/12 + 50*r**3 + 2456*r**2. Suppose d(w) = 0. Calculate w.
-30, -1, 5
Let r be 44/(11616/2808) - (3/(-3) + 10). Factor 14/11*p**2 + 34/11*p + r - 2/11*p**3.
-2*(p - 9)*(p + 1)**2/11
Let t = 165 + -183. Let j be (-15)/t*(-38)/(-190). Find f such that 0*f - j*f**3 + 1/3*f**2 + 0 = 0.
0, 2
Let f(n) be the second derivative of n**7/126 - 49*n**6/45 + 2197*n**5/60 + 833*n**4/3 + 578*n**3 - n + 2773. Find w such that f(w) = 0.
-2, 0, 51
Let u(f) = -7*f + 4*f**3 + 20*f**2 - 20*f**2 - 8. Let t = -2 - -14. Let p(b) = -10*b**3 + 18*b + 20. Let a(j) = t*u(j) + 5*p(j). Find c, given that a(c) = 0.
-1, 2
Let x(m) be the second derivative of m**7/315 + m**6/36 + m**5/20 + 15*m**3/2 - m + 5. Let r(u) be the second derivative of x(u). Determine y so that r(y) = 0.
-3, -3/4, 0
Let y(d) = d**2 + 7*d - 40. Let k = -547 + 552. Let q be y(k). Factor 10*w**3 + 5/2 + 25/2*w + q*w**2.
5*(w + 1)*(2*w + 1)**2/2
Factor -50560/9*p**3 + 51200/9*p**2 - 638/9*p**4 + 0 - 2/9*p**5 + 0*p.
-2*p**2*(p - 1)*(p + 160)**2/9
Suppose 20 = -4*f, 8*z - 6*z + 5*f + 7 = 0. Let q be (-12)/2 - (-84)/z. Factor 0 + q*p**4 + 26/9*p**2 - 14/3*p**3 - 2/3*p - 8/9*p**5.
-2*p*(p - 1)**3*(4*p - 3)/9
Let g(v) be the third derivative of 161*v**2 + 1/180*v**6 + 2/9*v**3 - 1/18*v**4 - 1/60*v**5 + 1/630*v**7 + 0*v + 0. Suppose g(y) = 0. What is y?
-2, 1
Suppose 1919*y + 2204*y - 15439 - 4092 + 3039 = 0. What is b in 6/19*b**2 + 0 - 8/19*b + 10/19*b**3 - 6/19*b**y - 2/19*b**5 = 0?
-4, -1, 0, 1
Let j = 157 - 167. Let x be 117/(-390)*j/6. Factor -h - x*h**3 - 3/2*h**2 + 0.
-h*(h + 1)*(h + 2)/2
Let i be (-2 + 29)*1/(-1)*513/(-228). Solve -27/2*k + 3/4*k**2 + i = 0.
9
Let h(g) be the third derivative of -100/57*g**3 + 5/57*g**4 + 0 + 38*g**2 - 1/570*g**5 + 0*g. Factor h(y).
-2*(y - 10)**2/19
Let k(l) = -10*l + 82. Let f be k(8). Let p be -5*(-2)/f + (0 - 3). Factor -2/9*u**3 - 14*u - 98/9 - 10/3*u**p.
-2*(u + 1)*(u + 7)**2/9
Determine y, given that 3/4*y**2 + 537/4*y - 690 = 0.
-184, 5
Let i(q) be the third derivative of q**10/6048 - q**9/189 + 5*q**8/448 + 35*q**4/24 - q**3/6 + 139*q**2. Let k(d) be the second derivative of i(d). Factor k(s).
5*s**3*(s - 15)*(s - 1)
Factor 219 + 521 - 550 + 1105 + 380*v + 4*v**2 + 841.
4*(v + 6)*(v + 89)
Suppose -58 = -3*t - 341*q + 345*q, 0 = -2*t - 2*q + 48. Let m(c) be the first derivative of 2/3*c**2 + 4/3*c + t - 1/9*c**3 - 1/12*c**4. Solve m(y) = 0.
-2, -1, 2
Let z(y) = -5*y**3 + 15*y**2 - 4*y - 8. Let v(n) = -n**3 - n**2 - n - 2. Let o be (-18)/21*(-28)/6. Let b(c) = o*v(c) - z(c). Let b(f) = 0. Calculate f.
0, 19
Let d be (-28)/7 - 1050/(-2 - 1). What is t in 912*t**2 - 718*t**4 + 7122*t**5 + 1108*t**3 - d*t**4 - 6926*t**5 + 144*t = 0?
-2/7, 0, 3
Let y(a) be the third derivative of a**8/84 + 46*a**7/105 - 49*a**6/30 + 5*a**5/3 + 3103*a**2. Factor y(x).
4*x**2*(x - 1)**2*(x + 25)
Suppose 11*o + 3*y = 10*o + 15, 0 = -2*y + 10. Suppose -6 = 9*q - 11*q + 5*m, -5*m = o. Factor -15/4*j - 3*j**2 - 3/2 - 3/4*j**q.
-3*(j + 1)**2*(j + 2)/4
Factor 978*j + 2/9*j**3 - 244/9*j**2 - 11016.
2*(j - 68)*(j - 27)**2/9
Let o(j) = 19*j**2 + 412*j + 401. Let b(x) = -7*x**2 - 137*x - 133. Let i(t) = -24*b(t) - 9*o(t). Find s such that i(s) = 0.
-139, -1
Let c(q) be the first derivative of 18 + 1/10*q**5 - 1/90*q**6 + 10/3*q**3 + 0*q**2 - 1/3*q**4 + 0*q. Let v(x) be the third derivative of c(x). Factor v(z).
-4*(z - 2)*(z - 1)
Let x(m) be the second derivative of -m**5/10 - m**4/2 + 16*m**3/3 - 12*m**2 - 462*m + 1. Factor x(n).
-2*(n - 2)*(n - 1)*(n + 6)
Let k be (-2*(-1 - (-3)/4))/((-70273)/(-1766864)). Let g = 0 - -3. Factor 0 - 24/7*b - 2*b**g + k*b**2.
-2*b*(b - 6)*(7*b - 2)/7
Factor 127*t**2 - 52*t**2 + 664 - 336*t - 59*t**2 - 14*t**2.
2*(t - 166)*(t - 2)
Suppose -11*q + 7*q = -8. Factor -18432 - 755*m - 2*m**q - 1030*m + 1401*m.
-2*(m + 96)**2
Let g be -1 + 4 - (1314/120 - 8). Let x(o) be the third derivative of 0*o + 1/4*o**4 + 15*o**2 + 1/2*o**3 + 0 + g*o**5. Factor x(q).
3*(q + 1)**2
Let n(j) = j**3 - j**2 - j. Suppose 2*a = -u - 12, -4*a + 9*a + 37 = -3*u. Let g = -8 - u. Let s(w) = w**3 - 3*w**2. Let f(h) = g*n(h) - 3*s(h). Factor f(b).
3*b*(b - 1)*(b + 2)
Let c = 3079/56718 + 4/3151. Let w(k) be the first derivative of -2/3*k - c*k**3 + 15 - 1/3*k**2. Factor w(f).
-(f + 2)**2/6
Let i = 4618322/7 + -659156. Factor 4050/7*d**2 + 26*d**4 - 2/7*d**5 + 0 - i*d**3 + 0*d.
-2*d**2*(d - 45)**2*(d - 1)/7
Let z(h) be the first derivative of -2/27*h**3 - 20/9*h**2 - 196 + 14/3*h. Factor z(g).
-2*(g - 1)*(g + 21)/9
Let g be 8619/195 + 8/10. What is a in g*a**2 - 6 + 81/5*a - 27/5*a**4 + 87/5*a**3 = 0?
-1, 2/9, 5
What is k in 10*k**3 + 771*k + 47*k**2 + 390 + 48*k**2 + 762*k - 1958*k = 0?
-13, 3/2, 2
Suppose -3*f = 23 - 20. Let y be (f - (-18)/4)*40/70. Factor -2/3*s - 2/9*s**y - 4/9.
-2*(s + 1)*(s + 2)/9
Factor 24/7 + 2/7*z**2 + 2*z.
2*(z + 3)*(z + 4)/7
Let u(h) be the second derivative of -17*h**4/12 - 107*h**3/6 - 45*h**2 - 38*h + 1. Let y(z) = -36*z**2 - 216*z - 180. Let w(v) = 13*u(v) - 6*y(v). Factor w(f).
-5*(f + 1)*(f + 18)
Let q(b) be the second derivative of -12*b**5/5 + 250*b**4 + 503*b**3/2 + 189*b**2/2 + 2403*b + 1. Factor q(r).
-3*(r - 63)*(4*r + 1)**2
Suppose 24*w + 5 - 53 = 0. Suppose 29*j = w*j - 14*j. Determine y so that -2/3*y + j - 1/3*y**4 - 4/3*y**3 - 5/3*y**2 = 0.
-2, -1, 0
Let s(l) be the first derivative of 3*l**4/10 - 66*l**3/5 - 207*l**2/5 + 41262*l/5 - 908. Factor s(n).
6*(n - 23)**2*(n + 13)/5
Let d(o) = -1 + 2 + 0. Let l(k) = 3*k**2 + 10*k + 1. Let r be 7/(-56) - (-529)/(-184). Let t(q) = r*l(q) - 6*d(q). Suppose t(v) = 0. Calculate v.
-3, -1/3
Suppose -4*m + 3*s = -187, 840*m - s = 835*m + 242. Let l(d) be the first derivative of 10/3*d**3 + 12*d + 19*d**2 + m - 4*d**4. Let l(o) = 0. Calculate o.
-1, -3/8, 2
Factor -21110*k**2 - 3*k**4 - 72*k**3 + 10563*k**2 + 10547*k**2.
-3*k**3*(k + 24)
Let k = 682547/7 + -97326. Let b = k + -180. Let -10/7*i**2 - 1/7 + 10/7*i**3 + 5/7*i + 1/7*i**5 - b*i**4 = 0. Calculate i.
1
Let t(n) be the third derivative of 79*n**2 + 0 + 0*n - 1/1155*n**7 - 1/330*n**6 + 7/330*n**5 + 4/11*n**3 + 5/33*n**4. Find d, given that t(d) = 0.
-2, -1, 3
Let x(h) = -9*h**2 + 55*h + 10. Let c be x(6). Let -i**4 + 4*i**4 + c*i - 5*i**4 + 110*i**3 + 8 - 114*i**3 + 6*i**2 = 0. Calculate i.
-2, -1, 2
Let s(i) be the second derivative of -i**5/20 - i**4/6 - i**3/6 + 6*i. Let n be s(-2). Find f, given that 79 + 16*f - 40 - 59 + 4*f**n = 0.
-5, 1
Let o(l) be the third derivative of 1/280*l**7 + 0*l**3 + 1/448*l**8 - 13/80*l**5 - 7/160*l**6 - 3/16*l**4 + 23*l**2 + 0 + 0*l. Solve o(a) = 0 for a.
-2, -1, 0, 3
Let t(g) be the first derivative of 0*g - g**4 - 1/6*g**6 - 4/5*g**5 + 0*g**2 - 17 + 0*g**3. Factor t(l).
-l**3*(l + 2)**2
Let m(q) = -q**2 + 10*q - 13. Let f be m(8). Determine c so that -65*c**2 + 4*c + 354*c**f + 880*c**4 + 800*c**5 + 70*c**2 + 57*c**2 = 0.
-2/5, -1/4, -1/5, 0
Let o(g) be the first derivative of 5/3*g**3 - 55/2*g**2 + 50*g - 70. Factor o(w).
5*(w - 10)*(w - 1)
Let w(q) = -2*q - 15. Suppose 8*y - 27 = 11*y. Let p be w(y). Solve 43 + 189*b + 104 + 59*b**2 - 14*b**2 + 3*b**p = 0 for b.
-7, -1
Let s(a) be the first derivative of a**3/18 - 94*a**2/3 - 377*a/6 - 178. Factor s(u).
(u - 377)*(u + 1)/6
Factor -362*s + 1812/5 - 2/5*s**2.
-2*(s - 1)*(s + 906)/5
Determine p so that 208/7*p**2 + 0 - 4/7*p**3 + 212/7*p = 0.
-1, 0, 53
Let g(j) be the second derivative of 1/6*j**4 - 44 + 225*j**2 + 10*j**3 + 2*j. Find v such that g(v) = 0.
-15
Suppose 147 = -170*r + 177*r. Let t be -7 + 10 + (-56)/r. Find w such that -1/3*w**4 + w**2 - 2/3 + 1/3*w**3 - t*w = 0.
-1, 1, 2
Let v(b) be the second derivative of -2*b**3 + 0 - 23/6*b**4 - 29*b + 0*b**2 - 7/10*b**5. Factor v(c).
-2*c*(c + 3)*(7*c + 2)
Let j(n) 