 2 - 4*u**4 - 4*u**5 + j.
-4*u**3*(u - 1)*(u + 2)
Let g(x) be the first derivative of 11/18*x**2 - 1/3*x**3 - 47 + 1/45*x**5 + 1/36*x**4 - 4/9*x. Factor g(p).
(p - 1)**3*(p + 4)/9
Suppose -3/5*c**3 + 753/5*c - 42/5*c**2 + 792/5 = 0. Calculate c.
-24, -1, 11
Let b(w) = -3*w**3 + 2*w**2. Let s(u) = -28*u**4 - 9*u**3 + 4*u**2. Let y(n) = 3*b(n) + s(n). Determine v so that y(v) = 0.
-1, 0, 5/14
Let n be (-4)/26 + (-86)/(-559). Let d(j) be the second derivative of 0 + n*j**3 + 1/32*j**4 - 6*j - 3/16*j**2. Factor d(t).
3*(t - 1)*(t + 1)/8
Factor 1630 - 15*o**2 + 23944*o + 25157*o - 51536*o.
-5*(o + 163)*(3*o - 2)
Let x be ((-535)/(-214))/(10/(-56)) + 14. Suppose x + 1/3*i**4 - 1/3*i**5 + i**3 - 1/3*i**2 - 2/3*i = 0. Calculate i.
-1, 0, 1, 2
Let m be ((-689)/(-117) - 6) + (-2)/(-18). Let m + 8/5*r - 2/5*r**2 = 0. What is r?
0, 4
Let z(p) be the second derivative of 2*p**4 - 2*p**3/3 - 23*p - 33. Let z(f) = 0. Calculate f.
0, 1/6
Let q = 549421 + -1098841/2. What is i in -q*i**2 + 1/4*i - 1/4*i**3 + 1/2 = 0?
-2, -1, 1
Let m(y) be the second derivative of 0 - 81*y + 45/14*y**7 + 288*y**6 - 141095/6*y**4 - 21780*y**2 + 32230*y**3 + 25875/4*y**5. Find z such that m(z) = 0.
-33, 2/3
Let i = 499030 - 998051/2. Factor -114*x**2 + i*x**3 + 507 + 1365/2*x.
3*(x - 13)**2*(3*x + 2)/2
Let n be (-12)/8*((-2158)/351 + 6). Let k(s) be the first derivative of 16/3*s**2 + 25 + 128/3*s + n*s**3. Determine h, given that k(h) = 0.
-8
Let g(i) be the third derivative of 0*i**3 + 0*i - 1/600*i**6 + 51 + 0*i**4 + 1/150*i**5 - 1/1050*i**7 - i**2. Let g(f) = 0. What is f?
-2, 0, 1
Let z(p) be the first derivative of -10*p**6/3 - 532*p**5/5 - 321*p**4 - 860*p**3/3 + 52*p**2 + 192*p + 1586. Determine q so that z(q) = 0.
-24, -1, 2/5
Factor 14*h**2 + 753*h + 20*h**2 - 693*h + 2*h**2 + 3*h**3.
3*h*(h + 2)*(h + 10)
Let p = -95 - -71. Let o be ((-32)/p + 0)*(-6)/(-2). What is y in -22 + 886 - o*y**3 + 72*y**2 + 185*y - 617*y = 0?
6
Let g(a) be the first derivative of a**5/90 + 5*a**4/24 + a**3 + 119*a**2/2 - 16. Let v(x) be the second derivative of g(x). Let v(h) = 0. Calculate h.
-6, -3/2
Let s(o) be the first derivative of o**4/6 + 8*o**3/9 - o**2/3 - 8*o/3 + 177. Factor s(f).
2*(f - 1)*(f + 1)*(f + 4)/3
Let u = 3430/12617 + 1/1147. Let y(n) be the first derivative of 4/33*n**3 - 2/11*n**4 + 1/33*n**6 - 4/11*n + u*n**2 + 0*n**5 + 11. Solve y(v) = 0.
-2, -1, 1
Solve 966*y**2 + 27/2*y**5 + 192 - 237/2*y**4 - 54*y**3 + 1080*y = 0.
-2, -1, -2/9, 4, 8
Let n(j) be the third derivative of -j**5/60 - 7*j**4/6 + 75*j**2 + 2*j. Solve n(s) = 0.
-28, 0
Let i = 159 - 153. Suppose -2*z + i = 0, 4*w = 2*w - 5*z + 15. Find l, given that 7/4*l**5 - 1 + 53/4*l**3 + 31/4*l**2 + 33/4*l**4 + w*l = 0.
-2, -1, 2/7
What is c in -181*c**4 - c**5 + 98*c**4 + 396*c**3 - 3*c**5 + 72*c**3 + 95*c**4 - 2828*c**2 + 2352*c = 0?
-12, 0, 1, 7
Let w(x) be the third derivative of 1/1848*x**8 + 0*x**3 + 39*x**2 + 8/1155*x**7 + 13/660*x**6 + 0 + 0*x**4 - 2*x + 1/55*x**5. Determine m so that w(m) = 0.
-6, -1, 0
Let q be ((-15)/2)/((-24)/(-16)). Let r be ((-15)/78)/(1/(q + -75)). Suppose -r*l**2 + 120/13*l - 18/13 = 0. Calculate l.
3/10
Suppose 32 = -8*a + 112. Let q be a/6 + (-12)/(-36). Solve 2*i**q - 7*i**2 + 4*i + 0 + 4 - 3 = 0.
-1/5, 1
Let j(d) be the first derivative of -1/8*d**4 + 1/40*d**6 + 0*d + 11/2*d**2 + d**3 + 16 - 1/10*d**5. Let h(c) be the second derivative of j(c). Factor h(f).
3*(f - 2)*(f - 1)*(f + 1)
Let l(p) be the first derivative of 5*p**4/4 + 100*p**3/3 - 465*p**2/2 + 360*p + 3302. Determine u so that l(u) = 0.
-24, 1, 3
Let w(m) be the third derivative of -m**6/72 + 17*m**5/36 - 95*m**4/18 + 50*m**3/3 - m**2 + 2*m + 3406. Factor w(z).
-5*(z - 10)*(z - 6)*(z - 1)/3
Let b(f) be the second derivative of 21*f + 16/15*f**3 + 1/30*f**4 + 3*f**2 - 2. Find k such that b(k) = 0.
-15, -1
Suppose 268*o**2 - 1980 - 184*o**2 + 20*o - 79*o**2 = 0. Calculate o.
-22, 18
Let k = 325 - 325. Suppose -4*a - 4 = 4*l, -7*a = -8*a + 5*l + 29. Factor 0*t**a + 0*t + 0*t**2 + k + 12/5*t**3 - 3/5*t**5.
-3*t**3*(t - 2)*(t + 2)/5
Let g = 33 - 21. Let r be (-32)/g*(-6)/8. Find o such that -o**4 - 4*o**5 + 6*o**r - 4*o + 7*o**4 + 10*o**4 + 10*o**2 - 24*o**3 = 0.
0, 1
Let w = -7/220263 + 440561/1101315. Determine q, given that -8/5*q - w*q**2 + 2 = 0.
-5, 1
Let p(j) = -j**2 - 7*j + 208. Let a be p(-22). Let c = 612/5 + a. Factor 6/5*i - 6/5*i**2 - c + 2/5*i**3.
2*(i - 1)**3/5
Let n be (-6)/16*((-4)/(-9))/((-7)/21). Let p(a) be the first derivative of -1/3*a**3 - 1/16*a**4 + 1 - 5/8*a**2 - n*a. Factor p(w).
-(w + 1)**2*(w + 2)/4
Let t be (4 - 3)*36 + 4. Factor 3*j**5 - j**5 - 160*j**3 - 6*j**5 - 320*j - 266*j**2 - 128 - 54*j**2 - t*j**4.
-4*(j + 2)**5
Solve -1464/11*g**2 + 0 - 936/11*g - 30/11*g**4 - 558/11*g**3 = 0.
-78/5, -2, -1, 0
Solve 9/5*k**2 + 39/5*k - 18 = 0 for k.
-6, 5/3
Suppose -23 = -5*x + 4*i, 3*i + 13 = 5*x + 4*i. Suppose 3*d = x*o + 3, -2*o - 4*d + 6 = -5*o. Factor 8*r**2 + o*r + 8*r**2 - r**3 - 17*r**2.
-r*(r - 1)*(r + 2)
Let u(a) be the third derivative of -a**7/420 - 11*a**6/90 - 7*a**5/20 + 133*a**3/3 + 85*a**2. Let q(c) be the first derivative of u(c). Factor q(w).
-2*w*(w + 1)*(w + 21)
Let h(a) = 8*a**2 + 94*a - 1382. Let s(z) = z**2 - z - 3. Let m(y) = -2*y**2 - 10*y + 38. Let d be m(-8). Let o(b) = d*s(b) + h(b). Suppose o(n) = 0. What is n?
26
Suppose 410 = 6*c - 2*c + q, -c - 2*q + 106 = 0. Suppose -77 = 5*l - c. Factor 64 - 80*g - 9*g**3 + 17*g**2 + 13*g**3 - l*g**3.
-(g - 8)**2*(g - 1)
Suppose -18*q + 97*q**2 + q**3 + 7 - 21 - 82*q**2 + 10 - 28 = 0. Calculate q.
-16, -1, 2
Let p = 4/801 + 31223/3204. Let n(w) be the first derivative of -p*w**2 + 507/4*w + 1/4*w**3 + 2. Find y such that n(y) = 0.
13
Let v(f) be the third derivative of 0*f - 1/30*f**5 + 1/4*f**4 + 0*f**3 - f**2 - 2. Factor v(k).
-2*k*(k - 3)
Let u = -21490 - -21490. Let c(l) be the third derivative of u + 0*l + 1/140*l**5 - 1/280*l**6 - 6*l**2 + 0*l**4 + 0*l**3. Let c(n) = 0. What is n?
0, 1
Suppose 434 - 87 = 150*s - 103. Let c(l) be the first derivative of -1 + 1/12*l**s + 5/8*l**2 + 3/2*l. Factor c(q).
(q + 2)*(q + 3)/4
Suppose 38*p - 376 = -376. Let v(b) be the third derivative of 17/12*b**4 + 0 + p*b - 6*b**2 + 4/15*b**5 + 2/3*b**3. Find c such that v(c) = 0.
-2, -1/8
Suppose 23 - 6 = 3*a - o, 36 = 4*a - 4*o. Suppose -4*z + 2*j + 22 = 0, -10*z + a*j + 8 = -11*z. Solve -3/7*c**3 + 1/7*c**z + 2/7*c**2 + 0 + 0*c = 0 for c.
0, 1, 2
Let g(q) be the first derivative of -q**6/420 - 6*q**5/35 - 36*q**4/7 - 576*q**3/7 - 117*q**2/2 + 20. Let o(a) be the second derivative of g(a). Factor o(w).
-2*(w + 12)**3/7
Let z = 21143 + -21138. Let a(n) be the first derivative of -9/4*n**4 + 19 + 1/5*n**z - 27/2*n**2 + 0*n + 9*n**3. Let a(s) = 0. What is s?
0, 3
Let k(u) = 971*u**4 - 1095*u**3 + 123*u**2 - 19*u + 5. Let r(c) = -2*c**4 + 2*c**3 + c**2 + 3*c - 1. Let s(w) = k(w) + 5*r(w). Let s(l) = 0. What is l?
0, 2/31, 1
Suppose 12 = 3*i - 5*c, 5*i - 2*c - 20 = -3*c. Suppose 16*s - 2*s**3 - 16*s**2 + 372*s**5 - 10*s**3 - 376*s**5 + 16*s**i = 0. Calculate s.
-1, 0, 1, 2
Let a(l) be the third derivative of l**6/1440 - 7*l**5/120 + 49*l**4/24 - l**3 + 4*l**2. Let i(z) be the first derivative of a(z). Determine o so that i(o) = 0.
14
Let m(c) be the first derivative of -c**5/20 - 11*c**4/8 + 7*c**3/3 + 59*c**2/4 + 69*c/4 + 1234. Solve m(u) = 0 for u.
-23, -1, 3
Let x(z) = 2*z - z + z - 3*z. Let o(y) be the third derivative of -y**5/60 + y**4/12 - y**3/3 + y**2 + 3*y. Let n(t) = 3*o(t) + 15*x(t). Factor n(f).
-3*(f + 1)*(f + 2)
Let z(v) = -30*v**3 + 60*v**2 + 25*v + 10. Let c(r) = -r**3 - r**2 - r + 2. Let o(y) = -6*y - 143. Let d be o(-24). Let w(q) = d*z(q) - 5*c(q). Factor w(x).
-5*x*(x - 3)*(5*x + 2)
Suppose 2*a = -3*r - 33 + 34, 2*a - 9 = 5*r. Factor 1/3*y**3 - 10/3*y**a - 12 + 11*y.
(y - 4)*(y - 3)**2/3
Let o(l) be the third derivative of l**8/588 - 2*l**7/105 + l**6/35 + 13*l**2 + 24*l. What is x in o(x) = 0?
0, 1, 6
Let s(d) = 21*d - 295. Let j be s(14). Let m be 1 - (-9 - j) - 5. Suppose 0 - 1/2*o**5 - o**2 + 2*o**3 - 3/2*o + o**m = 0. What is o?
-1, 0, 1, 3
Factor -2/7*f**3 - 880/7 - 888/7*f - 228/7*f**2.
-2*(f + 2)**2*(f + 110)/7
Let o(x) = x**3 - 24*x**2 + 4*x - 93. Let a be o(24). Let b be 1 - ((-63)/35 - (1 - a)). Let -4/5*v**4 + 12/5*v*