+ 20*p**3.
-2*(p - 16)*(p - 2)*(p - 1)**2
Suppose 63*p**2 + 7378*p**3 + 48*p**2 - 7360*p**3 + 73*p + 17*p - 3*p**4 = 0. Calculate p.
-3, -1, 0, 10
Let y(z) = -z**2 + 7*z - 2. Let n be y(3). Let p = -7 + n. Let -2 - 10*b**2 + 12 - 5*b - 7*b**p + 12*b**3 = 0. What is b?
-1, 1, 2
Let m(f) be the third derivative of 0*f - 1/2*f**3 - 1/30*f**5 + 0 + 20*f**2 + 3/4*f**4. Let z(a) = a**2 - 19*a + 4. Let p(c) = 4*m(c) + 3*z(c). Factor p(b).
-5*b*(b - 3)
Let g(h) be the second derivative of 7*h**4/22 + 146*h**3/33 + 120*h**2/11 + 1205*h - 2. Find w, given that g(w) = 0.
-6, -20/21
Let x(y) = 17*y**3 - 29*y**2 + 2. Let k(r) be the first derivative of 9*r**4/4 - 5*r**3 + 56. Let c(b) = 11*k(b) - 6*x(b). Determine w, given that c(w) = 0.
-1, 2
Let c(s) = -3*s - 1. Let w be c(-1). Suppose -462 + 418 = -4*u. Solve -16*f + 2*f**w - u*f**2 + 22*f = 0 for f.
0, 2/3
Let c be ((-6)/4 - -1)/(3/42). Let h be (4 + c)*3/(-3). Factor 3*t + 0 - 15/2*t**2 - 3/2*t**4 + 6*t**h.
-3*t*(t - 2)*(t - 1)**2/2
Let c(z) = -9*z**2 - 1 + 12 - 16*z - 16. Let g(n) = -13*n**2 - 24*n - 7. Let u(k) = -7*c(k) + 5*g(k). Factor u(t).
-2*t*(t + 4)
Let r(a) be the first derivative of -a**6/540 - a**5/45 + a**4/12 + 14*a**3/27 + 2*a**2 - 30*a - 102. Let f(v) be the second derivative of r(v). Factor f(d).
-2*(d - 2)*(d + 1)*(d + 7)/9
Factor 146/3*j - 590/9*j**2 + 8/9*j**3 + 0.
2*j*(j - 73)*(4*j - 3)/9
Let i(x) be the first derivative of -x**6/6 + 6*x**5/5 - 9*x**4/4 + 4*x**3/3 - 4017. Suppose i(j) = 0. Calculate j.
0, 1, 4
Let t(o) be the second derivative of 2/21*o**7 + 19/5*o**5 + 25/3*o**4 + 0 + 32*o + 32/3*o**3 + 8*o**2 + 14/15*o**6. Determine l so that t(l) = 0.
-2, -1
Let s(l) = -26*l + 52. Let u be s(2). Suppose u = 35*g - 32*g, h - 5*g = 3. Factor 0 - v**4 + 2*v**2 + 2*v - 3/2*v**h + 1/2*v**5.
v*(v - 2)**2*(v + 1)**2/2
Let b(i) be the second derivative of 2/75*i**5 + 3*i**2 + 0*i**3 - 1/60*i**4 + 11*i + 0. Let q(x) be the first derivative of b(x). Solve q(a) = 0.
0, 1/4
Let g(b) = -b**3 - b**2 - 1. Let z(r) be the first derivative of r**4/2 - 49*r**3/3 - 243*r**2/2 + 5*r - 19. Let o(w) = -5*g(w) - z(w). Factor o(d).
3*d*(d + 9)**2
Let f(n) be the second derivative of -250*n + 0 - 6*n**2 + 1/6*n**4 - 1/3*n**3. Let f(b) = 0. What is b?
-2, 3
Let x(b) be the first derivative of 2*b**3/33 - b**2/11 + 2416. What is q in x(q) = 0?
0, 1
Suppose -4 - 4 = -9*i + 19. Let p(o) be the second derivative of 0*o**2 + 7*o + 1/4*o**5 + 0 + 5/4*o**4 - 10/3*o**i. Factor p(b).
5*b*(b - 1)*(b + 4)
Suppose 1026*t - 960*t = 88 + 44. Factor -1/5*x**t - 48/5*x - 576/5.
-(x + 24)**2/5
Let x(i) = 9*i**3 - 8*i**2 - 25*i - 13. Let g be x(-4). Let m = -617 - g. Factor m + 5/4*l + 5/4*l**2.
5*l*(l + 1)/4
Let y be (-3)/(-6*(-1)/(-4)). Factor -f**3 - 2*f**2 + 46*f**2 - 60 + y*f**4 + 19*f**3 - 4.
2*(f - 1)*(f + 2)*(f + 4)**2
Let b(w) be the first derivative of -w**4/10 + 48*w**3/5 + 459*w**2/5 + 1404*w/5 - 4091. Let b(s) = 0. What is s?
-3, 78
Let t = 798 + -801. Let r be (5/t)/((-45)/36). Determine y so that -10/9 + r*y - 2/9*y**2 = 0.
1, 5
Factor -67 - 282*y + 642288*y**3 - 38*y**2 - 642286*y**3 - 383.
2*(y - 25)*(y + 3)**2
Suppose 248 - 63 = 4*p - 3*f, p = -2*f + 60. Let d = 50 - p. Solve d - 1/5*r - 2/5*r**2 = 0.
-1/2, 0
Let d = -284 - -291. Factor 0*j**3 + j**3 - d*j**3 + 151*j**2 + 174*j**2 + 335 + 665*j + j**3.
-5*(j - 67)*(j + 1)**2
Let c(p) be the third derivative of 0 + 3/10*p**4 + 8/15*p**3 + 1/1050*p**7 + 0*p + 47*p**2 + 7/75*p**5 + 3/200*p**6. Find n such that c(n) = 0.
-4, -2, -1
Let z(m) be the second derivative of -12*m**5/5 - 226*m**4 + 455*m**3/2 - 171*m**2/2 - 2378*m. What is g in z(g) = 0?
-57, 1/4
Let j be 3/2*((-7)/(-3) - -3). Suppose -32 = -6*u - j. Let 4*y**3 + 4 - u*y - y**4 - 2*y**2 + 7*y**2 - 8*y**2 = 0. Calculate y.
-1, 1, 2
Let t = -4651/35 - -933/7. Let u(h) be the first derivative of -2*h**3 + t*h**5 - h**2 + 4*h + 1/2*h**4 + 24. Determine i so that u(i) = 0.
-2, -1, 1
Let g(z) = 5*z + 85. Let h be g(10). Factor 15 + 42*x + 15*x**3 + 40*x + 18*x - h*x - 35*x**2.
5*(x - 3)*(x + 1)*(3*x - 1)
Let s(r) be the first derivative of r**5/12 + 10*r**4 + 480*r**3 + 69*r**2/2 + 136. Let y(q) be the second derivative of s(q). What is h in y(h) = 0?
-24
Let v be (-8827)/(-26) + (-1)/2. Let g(l) = l**3 - 2*l**2 - l - 2. Let c be g(3). Factor 336*x**c - 9*x**3 + 3*x**3 - v*x**4.
-3*x**3*(x + 2)
Let h(k) be the third derivative of -k**8/168 + 17*k**7/210 - 5*k**6/12 + 13*k**5/12 - 19*k**4/12 + 4*k**3/3 - 154*k**2. Suppose h(d) = 0. What is d?
1/2, 1, 2, 4
Factor 2/5*c**2 + 0 + 122/5*c.
2*c*(c + 61)/5
Let r(c) be the first derivative of -63 - 11/3*c**3 - 4*c + 7/16*c**4 + 17/2*c**2. Find l, given that r(l) = 0.
2/7, 2, 4
Let s(i) = -i**2 - 2*i - 5. Let b(g) = -2*g**2 + 59*g - 179. Let m(d) = b(d) - s(d). Find w such that m(w) = 0.
3, 58
Let j(s) = s**3 + 6*s**2 - 14*s + 6. Let a(f) = -5*f**3 - 31*f**2 + 71*f - 33. Let p(i) = -2*a(i) - 11*j(i). Solve p(c) = 0.
-6, 0, 2
Let l be 4494/(-9737)*26/(-4). Solve -2/7*t - 5/7*t**2 - 1/7*t**l + 8/7 = 0 for t.
-4, -2, 1
Factor -3*z**4 - 7682*z**2 + z**4 + 16255*z**2 - 7995*z**2.
-2*z**2*(z - 17)*(z + 17)
Let w(u) = 240*u - 238. Let y be w(1). Find b such that -8/7 - 4/7*b**2 + 2/7*b**3 - y*b = 0.
-1, 4
Let b(m) be the third derivative of m**6/40 + 32*m**5/5 + 4453*m**4/8 + 11163*m**3 + m**2 + 488. Factor b(i).
3*(i + 6)*(i + 61)**2
Let z = -651668/9 - -72408. Factor -z + 2/9*t**2 - 2/3*t**3 + 2/9*t**4 + 2/3*t.
2*(t - 2)*(t - 1)**2*(t + 1)/9
Suppose 0 = 2*h + 5*y + 4, 18*h - 17*h - 2*y = 7. Let s(w) be the second derivative of -5/24*w**4 + 25/12*w**h + 0*w**2 + 0 - 22*w. Factor s(r).
-5*r*(r - 5)/2
Let i(r) be the second derivative of 0*r**6 + 0*r**2 + 25/3*r**4 + 0*r**3 - 99*r - 5/42*r**7 + 21/4*r**5 + 0. Suppose i(x) = 0. Calculate x.
-4, -1, 0, 5
Let c(f) be the first derivative of -3*f**4/28 - 93*f**3/7 - 3312*f**2/7 - 6348*f/7 + 1168. Factor c(h).
-3*(h + 1)*(h + 46)**2/7
Let q = 47 + -42. Factor 3453*p**4 + 2*p**q - 12*p**2 - 3*p**5 + 8*p - 3450*p**4 - 2*p**3 + 4*p**3.
-p*(p - 2)**2*(p - 1)*(p + 2)
Let -2/5*o**2 - 2175698/5 + 4172/5*o = 0. What is o?
1043
Suppose -124/9*r**3 + 0 - 242/9*r**2 - 40/3*r - 2/9*r**4 = 0. What is r?
-60, -1, 0
Let p(j) be the first derivative of 0*j - 134 - 25*j**2 + 5/6*j**6 + 5*j**5 - 85/3*j**3 - 15/4*j**4. Suppose p(x) = 0. What is x?
-5, -1, 0, 2
Suppose b + 3*r = -13, 3*b = r + r + 16. Find g such that 5*g**3 + g**2 - g + 12*g**3 + g**2 - b - 16*g**3 = 0.
-2, -1, 1
Let h = 195971 + -979831/5. Find z, given that 54/5 - h*z + 2/5*z**2 = 0.
3, 9
Let v = -3209 + 1618. Let z be v/333 + 5 + 0. What is u in -z*u**3 - 2/9 + 2/9*u**2 + 2/9*u = 0?
-1, 1
Let t be (234/728 - 4/7) + (-1118)/(-104) + -10. Factor -1/4*q**3 + t*q**2 + 0*q + 0.
-q**2*(q - 2)/4
Suppose 19*h = 2*t + 15*h + 6, 0 = -2*t - 3*h + 15. Suppose n + 0 - t = -g, 15 = n + 5*g. Factor 4/5*z**2 - 4/5*z**5 - 4/5*z**4 + 4/5*z**3 + 0*z + n.
-4*z**2*(z - 1)*(z + 1)**2/5
Factor -100 - 2/9*z**2 + 18*z.
-2*(z - 75)*(z - 6)/9
Let x(z) = z**4 + 27*z**3 - 207*z**2 + 297*z - 110. Let d(f) = -f**4 - 36*f**3 + 276*f**2 - 396*f + 146. Let u(b) = 8*d(b) + 11*x(b). Factor u(j).
3*(j - 2)*(j - 1)**2*(j + 7)
Let i(b) be the second derivative of -2 - 17/33*b**3 - 1/66*b**4 + 0*b**2 - b. Suppose i(d) = 0. What is d?
-17, 0
Let r be (4 - (-1 - -6))*-1 + -5 + 6. Let z(x) be the first derivative of 0*x - 2 + 3*x**3 - 3*x**r + 3/20*x**5 - 9/8*x**4. Let z(v) = 0. What is v?
0, 2
Let u(r) = 66*r - 4816. Let m be u(73). Let w(q) be the second derivative of 0 + 15/4*q**4 + 5/3*q**3 + 3*q + 0*q**m. Let w(p) = 0. Calculate p.
-2/9, 0
Factor 1469336*t**2 - 1490504*t**2 - 65856*t**3 - 2268*t + 30 - 94 - 17.
-3*(28*t + 3)**3
Let i(o) be the third derivative of -o**5/300 - 7*o**4/120 + 4*o**3/15 - o**2 - 1212*o. Let i(u) = 0. What is u?
-8, 1
Let x = 1079/188 + -258/47. Let n(k) be the second derivative of 16*k + 1/16*k**5 - 11/24*k**3 - 3/4*k**2 + 0 + x*k**4. Find c such that n(c) = 0.
-3, -2/5, 1
Let f(x) = 2*x**4 + 5*x**3 + 26*x**2 - 18*x + 3. Let y(c) = 7*c**4 + 20*c**3 + 101*c**2 - 73*c + 11. Let p(m) = 22*f(m) - 6*y(m). Factor p(u).
2*u*(u - 7)*(u - 1)*(u + 3)
Let a(h) = 4*h**2 + 364*h + 32047. Let o(z) = 5*z**2 + 366*z + 32049. Let t(r) = 4*a(r) - 3*o(r). Let t(l) = 0. What is l?
-179
Let h = -407