- 336*c**4 - 79*c. Determine v so that o(v) = 0.
0, 1, 84
Let o(r) = -135*r**3 - 6200*r**2 + 24425*r - 13665. Let f(x) = 15*x**3 + 689*x**2 - 2714*x + 1518. Let d(m) = 55*f(m) + 6*o(m). What is z in d(z) = 0?
-50, 2/3, 3
Let r(x) be the first derivative of -x**6/540 + 11*x**5/180 - 155*x**3/3 - 230. Let f(t) be the third derivative of r(t). Find c such that f(c) = 0.
0, 11
Suppose -302 = 12*d - 254. Let l be 0/8*d/24*1. Factor 1/2*n**5 + 0 - 1/2*n**4 + 0*n**2 + 0*n + l*n**3.
n**4*(n - 1)/2
Let c(a) be the first derivative of a**8/1680 + a**7/140 - 5*a**6/72 + 3*a**5/20 + 34*a**3 - 21. Let y(h) be the third derivative of c(h). Factor y(o).
o*(o - 2)*(o - 1)*(o + 9)
Suppose -89*p + 169*p - 136 = 12*p. Suppose -38/3*h**p - 361/3*h + 0 - 1/3*h**3 = 0. Calculate h.
-19, 0
Let m(q) be the third derivative of q**5/15 + 15*q**4/2 - 92*q**3/3 + 783*q**2 - 2*q. Factor m(b).
4*(b - 1)*(b + 46)
Factor 1430*b**2 + 2040 - 364*b - 724*b**2 - 702*b**2.
4*(b - 85)*(b - 6)
Let q be (21 - 0) + (45 - 3904/61). Suppose q*a**4 + 6/7*a - 2/7*a**3 - 2*a**2 - 4/7*a**5 + 0 = 0. Calculate a.
-1, 0, 1/2, 1, 3
Let i = 1586/5 + -14164/45. Factor -2/9*s**2 + 20/9*s + i.
-2*(s - 11)*(s + 1)/9
Let k(d) be the third derivative of -d**7/2940 + d**6/315 + d**5/84 - 9*d**3 + 62*d**2. Let y(c) be the first derivative of k(c). Factor y(v).
-2*v*(v - 5)*(v + 1)/7
Factor 0 - 5/2*z**2 + 1/6*z**3 + 6*z.
z*(z - 12)*(z - 3)/6
Factor 189/8*o + 243/4 + 0*o**2 - 3/8*o**3.
-3*(o - 9)*(o + 3)*(o + 6)/8
Let x(k) be the second derivative of -63*k + 1/21*k**4 + 0 + 121/42*k**3 + 15/7*k**2. Suppose x(g) = 0. What is g?
-30, -1/4
Let q(a) = 396*a + 2376. Let c be q(-6). Let b(k) be the second derivative of 2*k**3 + 0 + c*k**2 - 1/10*k**6 + 1/4*k**4 - 20*k - 3/5*k**5. Factor b(s).
-3*s*(s - 1)*(s + 1)*(s + 4)
Let p = 1/3181 + 9535/25448. Let k(c) be the second derivative of -1/16*c**4 + 3/80*c**5 - 1/8*c**3 + 10*c + 0 + p*c**2. Factor k(m).
3*(m - 1)**2*(m + 1)/4
Let g(u) = -u**4 - 115*u**3 + 543*u**2 - 629*u + 247. Let x(h) = h**3 + 4*h**2 + h - 1. Let r(t) = -2*g(t) + 18*x(t). Factor r(i).
2*(i - 2)*(i - 1)**2*(i + 128)
Let s be (-3 - (-91)/21)/(6/9). Factor 17*o - 17*o - 12*o + 4*o**s.
4*o*(o - 3)
Let w be 32/6 + (-93)/279. Suppose -77 = -w*o + q - 53, -4*q = 16. Suppose 2/3*c**o + 0*c**3 + 0 - 2*c**2 - 4/3*c = 0. What is c?
-1, 0, 2
Let t(d) be the first derivative of -28*d + 1/15*d**5 + 1/6*d**4 - 4/3*d**2 + 3 - 4/9*d**3 - 1/45*d**6. Let k(q) be the first derivative of t(q). Factor k(v).
-2*(v - 2)**2*(v + 1)**2/3
Find c such that 10/9 + 26/3*c**2 - 8/9*c**4 - 22/9*c**3 - 58/9*c = 0.
-5, 1/4, 1
Let s(b) be the second derivative of 113*b**5/150 - b**4/5 + 592*b - 2. Determine m so that s(m) = 0.
0, 18/113
Factor -251343303*u**3 + 843466455*u**3 + 12030*u - 2259724*u**2 - 5 + 1048772757*u**3 + 938352131*u**3 - 7388336*u**2.
5*(802*u - 1)**3
Factor 2*l + 147/2*l**2 - 294 - 1/2*l**3.
-(l - 147)*(l - 2)*(l + 2)/2
Let u(s) be the first derivative of s**3/7 + 447*s**2/14 + 1740*s/7 + 6983. Let u(o) = 0. What is o?
-145, -4
Let c(n) = 8 + 42*n - 5 + 15. Let u be c(9). Determine k so that -u*k - 362*k**3 + 16*k - 43*k**3 + 990*k**2 + 40 = 0.
2/9, 2
Let d = -5397 - -5401. Let n(l) be the second derivative of -4/3*l**d - 1/10*l**5 - 16/3*l**3 + 0*l**2 - 38*l + 0. Solve n(k) = 0 for k.
-4, 0
Let g = -6763/11 + 659. Let n be ((-1686)/(-10))/(165/10) - 46/115. Factor 6/11*s**2 + n*s + g.
6*(s + 9)**2/11
Let u(q) be the third derivative of 5*q**5/12 - 13*q**4/6 - 13*q**3/6 + 120*q**2. Let o(a) = 24*a**2 - 54*a - 12. Let p(n) = -4*o(n) + 3*u(n). Factor p(v).
-3*(v - 3)*(7*v + 1)
Let y(x) be the third derivative of 7200*x**6 + 42480*x**5 + 104430*x**4 + 410758*x**3/3 + 8173*x**2. Solve y(j) = 0.
-59/60
Let p = -4768/5 + 14324/15. Factor -2/3*v**3 - 4/3 + 2/3*v + p*v**2.
-2*(v - 2)*(v - 1)*(v + 1)/3
Let t(u) = -3*u**3 + 9*u**2 + 25*u - 39. Let g(o) = -o**3 - 9*o**2 + o + 1. Let w(m) = g(m) - t(m). Suppose w(r) = 0. What is r?
-2, 1, 10
Let j(h) be the first derivative of -63*h**4/2 + 32*h**3 - 11*h**2 + 4*h/3 + 2274. Factor j(w).
-2*(3*w - 1)**2*(21*w - 2)/3
Let i(h) = -22*h**2 + 5368*h + 2132. Let d(p) = 67*p**2 - 16103*p - 6402. Let z(q) = -3*d(q) - 8*i(q). Solve z(c) = 0.
-2/5, 215
Let t(j) = 28*j**4 + 2*j**3 - 40*j**2 - 8*j. Let v(i) = i**4 - 3*i**2 - i. Let n(h) = t(h) - 6*v(h). Factor n(o).
2*o*(o - 1)*(o + 1)*(11*o + 1)
Suppose -34 = 10*s - 354. Let w be (15/340)/((4/1)/s). Suppose 0 - 8/17*v**4 - 2/17*v**5 + 8/17*v + 8/17*v**2 - w*v**3 = 0. Calculate v.
-2, -1, 0, 1
Suppose 58 = -81*n - 63 + 121. Let a(k) be the first derivative of 19 + 4/3*k**3 - 2*k**2 + n*k. Suppose a(c) = 0. Calculate c.
0, 1
Let z = -175924 + 175927. Factor 1/5*o**4 + o**2 + 0 - 2/5*o - 4/5*o**z.
o*(o - 2)*(o - 1)**2/5
Suppose -u - 15 = -17, 2*x + 3*u - 6 = 0. Let j(o) be the third derivative of 0 + 0*o**3 + 0*o**4 + 0*o + 1/30*o**6 + x*o**5 + 14*o**2. Factor j(s).
4*s**3
Let z(u) be the second derivative of -1/33*u**3 - 6/11*u**2 + 0 - 54*u + 1/110*u**5 + 1/11*u**4. Factor z(d).
2*(d - 1)*(d + 1)*(d + 6)/11
Factor -4070*t**2 + 1221*t**2 + 1289*t**2 + 3*t**4 + 1356*t**2 - 42*t**3 - 216*t.
3*t*(t - 18)*(t + 2)**2
What is u in -917/2*u**2 - 30 - 238*u - 167/2*u**4 - 11/2*u**5 - 657/2*u**3 = 0?
-10, -3, -1, -2/11
Let r(v) be the second derivative of -v**4/24 + 46*v**3 - 19044*v**2 - 2377*v. Solve r(i) = 0.
276
Let c be (5 + -99)/(3*4/(-6)). Factor 3*m**3 - 75*m**2 + 188*m**2 - c*m**2.
3*m**2*(m + 22)
Factor -272*c**2 - 405 - 4*c**3 - 3099 + 185*c**2 - 477*c**2 + 2896*c.
-4*(c - 3)*(c - 2)*(c + 146)
Factor -520*u**2 - 79418*u - 84*u**2 - 104*u**2 - 2*u**3 - 355216 + 96*u**2 + 30248*u.
-2*(u + 8)*(u + 149)**2
Let v be 2*1*(5 + 153/(-30))*(160 - 170). Let 1/8*a + 13/8*a**3 + 1/2*a**5 + 0 + 3/2*a**4 + 3/4*a**v = 0. Calculate a.
-1, -1/2, 0
Factor -3/7*g**3 + 15*g + 6/7*g**2 + 0.
-3*g*(g - 7)*(g + 5)/7
Let t(o) = -94*o - 358. Let u be t(-13). Find d, given that 1600*d**3 + 720*d**2 + u + 1250/3*d**5 - 4750/3*d**4 - 2016*d = 0.
-1, 6/5
Let m(y) be the first derivative of -y**4/8 + 11*y**3/3 - 21*y**2/4 - 1125. Factor m(l).
-l*(l - 21)*(l - 1)/2
Let r be ((-18)/12)/((-6747)/692). Solve -22/13*l**3 + 0*l + 0 - 12/13*l**2 - 12/13*l**4 - r*l**5 = 0.
-3, -2, -1, 0
Suppose -8*k - x + 47 = -5*k, -5*x = 3*k - 55. Let o be k/(-2)*(-492)/1640. Find w such that o + 3/2*w + 1/4*w**2 = 0.
-3
Suppose -28*t + 3*a = -32*t + 47, -18*t - 4*a + 88 = 0. Determine o so that -1/4*o**t + 0 + 29/4*o = 0.
0, 29
Let d = 223 - 221. Factor -763*q - 14*q**3 - 4*q**d + 17*q**3 + 759*q.
q*(q - 2)*(3*q + 2)
Let l(u) be the second derivative of 0 - 1/120*u**5 + 0*u**4 + 0*u**2 + u**3 + 1/720*u**6 + 19*u. Let c(n) be the second derivative of l(n). Factor c(m).
m*(m - 2)/2
Let x = -93 + 91. Let m be (-6)/x - 0/(4 - 9). Determine h so that -8/13*h**m + 0*h**2 - 2/13*h**4 + 0 + 0*h = 0.
-4, 0
Determine i so that -95048*i + 436*i**2 + 20720464/3 - 2/3*i**3 = 0.
218
Let i = 137917/2774 - 302/1387. Factor i*c**2 - 1/2*c**3 - 3267/2*c + 35937/2.
-(c - 33)**3/2
Let o be (-80 - 81721/(-710))/((-86)/448 - (-2)/7). Find u such that -438/5*u**3 - o*u - 2/5*u**5 - 346*u**2 + 66/5*u**4 - 648/5 = 0.
-1, 18
Let s(u) be the second derivative of -u**5/30 + 5*u**4/12 + 79*u**2/2 + 3*u - 16. Let y(z) be the first derivative of s(z). Suppose y(h) = 0. Calculate h.
0, 5
Let h = 571 + -569. Factor -2662*f**2 + f + 2660*f**h - 40 - f - 24*f.
-2*(f + 2)*(f + 10)
Let p(b) be the first derivative of b**8/3920 + b**7/735 - b**6/168 + b**5/210 - 4*b**3/3 - 94. Let c(g) be the third derivative of p(g). Factor c(l).
l*(l - 1)*(l + 4)*(3*l - 1)/7
Factor -325*g - 15/4 + 435/4*g**2.
5*(g - 3)*(87*g + 1)/4
Let f(u) be the third derivative of -u**5/60 - 83*u**4/6 - 13778*u**3/3 - 4325*u**2. Solve f(j) = 0 for j.
-166
Let s be (12 - 12 - 10*(-1)/6)/(615/1107). Factor -1/4*j**s + 13/4*j - 5/4*j**2 - 7/4.
-(j - 1)**2*(j + 7)/4
Determine g, given that 100*g**2 - 10/3*g**5 - 32*g**4 + 112 + 776/3*g - 154/3*g**3 = 0.
-7, -2, -3/5, 2
Let q(h) be the first derivative of h**4/20 + 2*h**3/15 - 51*h**2/2 - 6472. Factor q(b).
b*(b - 15)*(b + 17)/5
Suppose 0 = 5*s - 174 + 134. Suppose -316665*p - 3*p**2 + 316750*p + s*p**2 = 0. What is p?
-17, 0
Let x be 584/(-3)*((-6)/8 + 0). Suppose 0*g**3 - 14*g**2 + 15*g**3 + 297