is z?
-33, -17, 1
Let i(n) be the second derivative of n**4/4 - 112*n**3 + 18816*n**2 + 17*n + 19. What is r in i(r) = 0?
112
Let r(z) be the third derivative of 5*z**8/336 - 3*z**7/14 + z**6/12 + 4*z**5 - 253*z**2. Determine k so that r(k) = 0.
-2, 0, 3, 8
Let g(f) be the first derivative of -82 - 18/5*f + 1/5*f**3 - 3/10*f**2. Let g(q) = 0. Calculate q.
-2, 3
Suppose 1664 = 1297*t - 3524. Find i such that 3/5*i**2 - 3/5*i + 0 - 3/5*i**t + 3/5*i**3 = 0.
-1, 0, 1
Let i be 30/(-42) + 6 + (2 - 7). Let b(x) be the first derivative of i*x**3 + 0*x + 7 + 1/14*x**4 + 2/7*x**2. Determine o, given that b(o) = 0.
-2, -1, 0
Let u = 0 + 11. Suppose z - 4*z - 13 = a, z = 3*a - u. Factor a*b**5 - 15*b**4 - 15*b**3 - 6*b**2 - 7*b**5 + b**2 + 0*b**5.
-5*b**2*(b + 1)**3
Solve -2*v**3 - 8/9*v + 2/9*v**4 + 0 + 2/9*v**5 + 22/9*v**2 = 0.
-4, 0, 1
Let m(f) be the second derivative of 16/5*f**5 - 46/3*f**4 - 162*f**2 - 2/15*f**6 - 96*f**3 - f + 4. Factor m(y).
-4*(y - 9)**2*(y + 1)**2
Let p(j) be the first derivative of 1/42*j**6 - 1/14*j**4 + 1/14*j**2 - 1/35*j**5 - 40 + 2/21*j**3 - 1/7*j. Suppose p(d) = 0. Calculate d.
-1, 1
Let j(q) be the third derivative of q**8/1848 - q**7/1155 - 4*q**6/55 - 92*q**5/165 - 68*q**4/33 - 48*q**3/11 - 1608*q**2. Solve j(v) = 0 for v.
-2, 9
Suppose 5*n = -0*n - n. Suppose n + 92 = 46*o. Let 1/3*m - 1/6*m**o - 1/6 = 0. What is m?
1
Let a(j) be the second derivative of j**5/4 + 25*j**4/2 + 345*j**3/2 + 945*j**2 - 85*j. Solve a(l) = 0 for l.
-21, -6, -3
Let p(x) be the third derivative of -x**5/480 + x**4/6 + 3*x**3 + 19*x**2 + 4*x. Determine m so that p(m) = 0.
-4, 36
Let h(q) = -13*q - 520. Let x be h(-40). Let r(c) be the third derivative of -1/330*c**5 + 0*c**4 + x*c**3 - 19*c**2 + 0*c + 0. Find f, given that r(f) = 0.
0
Let d(y) = y**3 - 2*y**2 + 2*y. Let j(p) = -4*p**4 - 46*p**3 + 628*p**2 + 6332*p - 6912. Let m(t) = 2*d(t) + j(t). Determine s so that m(s) = 0.
-12, 1, 12
Let k be 16/10*-2 - -6. Suppose -4*n - 6 = -v, -7*v + 5*n = -2*v - 15. Solve -4/5 - v*q**2 + k*q = 0 for q.
2/5, 1
Suppose -14*f + 22 = -78 + 30. Let u(y) be the first derivative of -1/6*y**4 + 4/3*y - 17 + 7/3*y**3 + 10/3*y**2 - 7/15*y**f. Determine n so that u(n) = 0.
-1, -2/7, 2
Let j(c) be the third derivative of c**5/12 + 3785*c**4/24 - 1265*c**3 + 480*c**2 - 2*c + 3. Suppose j(t) = 0. Calculate t.
-759, 2
Let b(c) be the second derivative of -415/3*c**3 - 23 + c - 34445/2*c**2 - 5/12*c**4. Factor b(n).
-5*(n + 83)**2
Suppose 0*g + 0 + 2/5*g**5 + 222*g**3 + 82/5*g**4 + 990*g**2 = 0. What is g?
-15, -11, 0
Let x(y) be the third derivative of -y**6/20 - 31*y**5/15 - 10*y**4/3 + 1433*y**2. Factor x(s).
-2*s*(s + 20)*(3*s + 2)
Let l(s) = -s**2 - 22*s - 9. Let q be l(-17). Factor -15 - 56*k**2 - 33 + q*k + 28.
-4*(k - 1)*(14*k - 5)
Determine n, given that 110*n**2 - 45/2*n**5 + 0 + 177/2*n**3 - 194*n**4 + 18*n = 0.
-9, -2/5, -2/9, 0, 1
Suppose -13*k - 12*k + 100 = 0. Determine v so that -26*v - 6*v**2 + 2*v**k + 18*v**3 + 8*v**3 + 4*v**2 = 0.
-13, -1, 0, 1
Let u(t) = t**2 + 33*t - 186. Let h be u(-38). Let r be (2/h)/((-9)/(-12)). Factor -2/3*i**5 + 0*i - r*i**2 + 0 + 2/3*i**4 + 2/3*i**3.
-2*i**2*(i - 1)**2*(i + 1)/3
Suppose -3*v = f - 2, -3*v + 18 = -18*f + 15*f. Solve 32 - 133*q**3 + 866*q**v - 28*q**4 - q**5 + 397 - 1216*q + 83 = 0 for q.
-16, 1, 2
What is c in 0 + 3/7*c**3 - 2*c - 19/7*c**2 = 0?
-2/3, 0, 7
Let f(j) be the third derivative of -j**6/30 - 4*j**5/15 - 5*j**4/6 - 4*j**3/3 - 5*j**2 + 2*j + 16. Solve f(n) = 0 for n.
-2, -1
Let j(d) be the first derivative of -3*d**5/10 - 9*d**4/8 + 37*d**3/2 - 99*d**2/4 - 108*d + 256. Determine w so that j(w) = 0.
-8, -1, 3
Let b(x) be the third derivative of -x**5/150 - 232*x**4/15 - 215296*x**3/15 - 241*x**2 - 10*x. Find q, given that b(q) = 0.
-464
Suppose -5*y = -26*u - 130, 5*y + u - 237 = -242. Solve 7*i + y + 1/7*i**3 + 2*i**2 = 0 for i.
-7, 0
Let r(k) be the first derivative of -k**4/4 - 54*k**3 - 4374*k**2 + 178*k - 8. Let s(f) be the first derivative of r(f). Factor s(y).
-3*(y + 54)**2
Suppose 3*i - 65 = 4*w, 4*i + 52*w - 54 = 55*w. Suppose -5*z + 2*z = -12. Factor 0 + 2/3*r - 2/3*r**i + 2/3*r**2 - 2/3*r**z.
-2*r*(r - 1)*(r + 1)**2/3
Determine z, given that 0 + 31*z**2 + 44*z - 25/2*z**3 + 1/2*z**4 = 0.
-1, 0, 4, 22
Let z be (80/(-75))/(-8) + (-9)/(-1350)*5. Factor -1/3*j**2 + 0 - 1/6*j - z*j**3.
-j*(j + 1)**2/6
Let s(d) be the third derivative of 25/2*d**3 + 35/12*d**4 + 0 - 1/12*d**5 - 50*d**2 + 0*d. Factor s(z).
-5*(z - 15)*(z + 1)
Let t(f) be the second derivative of -f**7/168 - f**6/15 + 71*f**5/20 - 691*f**4/24 + 581*f**3/24 + 1127*f**2/4 + 4294*f. Determine v so that t(v) = 0.
-23, -1, 2, 7
Suppose -o + 6*i - 2 = 4*i, -11 = o - 5*i. Suppose 35 = o*u + 23. Factor -16*m - 17 - 5*m**2 + 1 + u*m**2 - 2*m**2.
-4*(m + 2)**2
Suppose 103*a - 76 = 36*a + 29*a. Factor a*l**2 + 5/6*l**3 + 0 - l**4 + 0*l + 1/6*l**5.
l**2*(l - 4)*(l - 3)*(l + 1)/6
Suppose 0 = -5*q + 45*x - 43*x + 12, 3*q = -3*x + 24. Suppose i + q*k = -3*i, 0 = 2*k. What is l in i + 6/7*l**2 + 8/7*l - 2/7*l**3 = 0?
-1, 0, 4
Let w(m) = 0 - 1 - 12*m**2 + 4. Let u(h) = h**2 + h + 1. Suppose a - 5*d - 7 - 17 = 0, 0 = 5*a + 3*d - 36. Let l(z) = a*u(z) + w(z). Factor l(v).
-3*(v - 4)*(v + 1)
Let r(g) be the first derivative of 8/15*g - 22/45*g**3 + 45 + 7/15*g**2. Factor r(t).
-2*(t - 1)*(11*t + 4)/15
Factor -485 + 260*i - 124*i + 303*i - 663 - 178 + i**2.
(i - 3)*(i + 442)
Factor -345/7*x**2 + 29928/7*x - 29584/7 + 1/7*x**3.
(x - 172)**2*(x - 1)/7
Let j = 336 - 333. Solve -22 - 58*z**2 - 57*z**2 + 35*z**4 + 35*z**j + 91 + 5*z**5 + 11 - 40*z = 0 for z.
-4, -1, 1
Let x = -329 - -347. Solve 85 + x*m**2 - 11*m - 45*m - 213 - 14*m**2 = 0 for m.
-2, 16
Let v(z) be the second derivative of -3*z**7/49 + 79*z**6/315 - 5*z**5/14 + z**4/6 + 2*z**3/63 - 3462*z. Let v(g) = 0. Calculate g.
-2/27, 0, 1
Determine f so that -1916*f**3 + 17 - 390*f**2 - 70 - 167 + 525*f + 2001*f**3 = 0.
1, 44/17
Let o be -4*(-4 - (13 - 20))*15/(-72). Factor -15 - 35/2*u - o*u**2.
-5*(u + 1)*(u + 6)/2
Find w, given that -2*w**3 - 573*w - w**3 - 428*w**2 - 88*w**2 + w**3 - 453*w - 512 = 0.
-256, -1
Find b, given that -307 - 3332*b - 1055 - 234 - 12*b**3 + 5012*b**2 - 72 = 0.
-1/3, 1, 417
Determine f, given that -556*f**3 + 18*f - 4*f**2 - 192 + 277*f**3 + 62*f + 278*f**3 = 0.
-12, 4
Let a(y) be the first derivative of -y**4/4 - 592*y**3/3 - 1181*y**2/2 - 590*y - 5118. Factor a(u).
-(u + 1)**2*(u + 590)
Factor 2/9*z**5 + 8/9*z**3 + 0*z**2 + 0*z + 8/9*z**4 + 0.
2*z**3*(z + 2)**2/9
Let m = -110831/15 - -36947/5. Let 22/3*y + 0 + 20/3*y**4 - 20/3*y**2 + m*y**5 - 8*y**3 = 0. Calculate y.
-11, -1, 0, 1
Let k(j) = -j**3 - 22*j**2 + 41*j + 416. Let d be k(-23). Factor 0*u**d + 0 - 1/4*u**3 + 1/4*u.
-u*(u - 1)*(u + 1)/4
Let v(d) be the second derivative of -2*d**6/135 + 11*d**5/90 + 19*d**4/27 + 16*d**3/27 + 731*d. Let v(q) = 0. What is q?
-2, -1/2, 0, 8
Let f(h) be the first derivative of -2*h**5/11 + 67*h**4/22 - 532*h**3/33 + 276*h**2/11 - 144*h/11 - 1492. Solve f(u) = 0.
2/5, 1, 6
Let p(c) = -134*c**3 - 3*c**2 - 5*c - 2. Let x be p(-1). Suppose -x*m + 6 = -131*m. Factor -1/7*v**3 + 0*v**m + 3/7*v - 2/7.
-(v - 1)**2*(v + 2)/7
Suppose 0 = b + 3*f - 12, 161*f = 2*b + 156*f + 20. Suppose 0*k + 0 + b*k**2 + 0*k**3 - 1/4*k**5 + 1/2*k**4 = 0. Calculate k.
0, 2
Let b be 1/3 - 2/(-18)*-237. Let h = b + 73. What is q in 10 - h - 20*q - 63 - q**2 = 0?
-10
Suppose -14 = 59*i - 14. Let f(y) be the second derivative of 0*y**3 + 0*y**2 + 0*y**5 + 1/45*y**6 + 16*y - 1/18*y**4 + i. What is h in f(h) = 0?
-1, 0, 1
Let y = 130178/27867 - 44/9289. Factor 0*k - 2/9*k**3 + 0 + y*k**2.
-2*k**2*(k - 21)/9
Let t = 898747 + -4493671/5. Factor 112/5*n**2 + t*n**3 + 32/5 + 2/5*n**5 + 96/5*n + 18/5*n**4.
2*(n + 1)*(n + 2)**4/5
Let l = -2/305267 + 305271/610534. Solve 15 + 13/2*c - l*c**2 = 0.
-2, 15
Let k(m) be the second derivative of m**7/399 - m**6/57 - 4*m**5/95 + 20*m**4/57 + 16*m**3/57 - 80*m**2/19 + m + 95. Determine j so that k(j) = 0.
-2, 2, 5
Factor -1896123*x**3 + 144101670*x**2 - x**5 + 145527900*x + 36501000 - 2737368*x**4 + 2745636*x**4 - 11*x**5.
-3*(x - 230)**3*(2*x + 1)**2
Let r(d) be the first derivative of 4*d**5/45 - 844*d**4/9 + 238568*d**3/9 - 710648*d**2/9 + 708964*d/9 + 4398. Determine u