1/20*u**5. What is q in l(q) = 0?
-2, 0, 6
Let t = -162958 + 1140758/7. What is w in -t*w**2 - 12/7*w**4 - 12/7*w + 0 - 52/7*w**3 = 0?
-3, -1, -1/3, 0
Let c(a) be the second derivative of 441*a**7 + 7497*a**6/5 + 1827*a**5/5 - 3812*a**4/3 + 608*a**3 - 128*a**2 - 2186*a. Let c(f) = 0. Calculate f.
-2, -1, 4/21
Suppose -387 = 4*f - 5*i, f + f - i + 201 = 0. Let g = f + 103. Find w such that -4/5*w**5 + 4/5*w**3 - 2/15*w**4 + g*w + 0 + 2/15*w**2 = 0.
-1, -1/6, 0, 1
Let i be (980/(-84) - -10)*1/85*-6. Solve 60/17*d**2 - 800/17*d + 16/17*d**3 - i*d**4 + 1750/17 = 0.
-7, 5
Let n(s) be the first derivative of 2/39*s**3 + 1/26*s**4 + 0*s - 6/13*s**2 - 123. Let n(h) = 0. Calculate h.
-3, 0, 2
Let g(q) = 80*q**2 - 190*q - 630. Let m(f) = 9*f**2 - 21*f - 70. Let c(h) = 4*g(h) - 35*m(h). Find y such that c(y) = 0.
-2, 7
Let v(f) = 3*f**2 + 111*f + 978. Let c(b) = b**2 - 104*b - 980. Let h(q) = -q**2 - 2*q. Let i(m) = -c(m) - 4*h(m). Let l(d) = -3*i(d) + 4*v(d). Solve l(k) = 0.
-18
Let w(z) = 36*z**2 + 2456*z + 2448. Let y(s) = -16*s**2 - 2*s. Let d(l) = w(l) + 2*y(l). Determine h, given that d(h) = 0.
-612, -1
Let v(b) be the second derivative of -b**7/21 + b**6/3 + b**5/2 - 25*b**4/6 - 40*b**3/3 - 16*b**2 - 80*b - 12. Factor v(q).
-2*(q - 4)**2*(q + 1)**3
Suppose 25*p + 21 = 26*p - 6*j, 3*p - 4*j - 21 = 0. Let o(t) be the second derivative of -10/21*t**p - 1/21*t**4 + 0 - 8/7*t**2 + 35*t. Factor o(f).
-4*(f + 1)*(f + 4)/7
Determine g so that 892 - 615*g**2 - 200*g**3 - 140*g - 647*g**3 - 185*g**4 - 15*g**5 + 202*g**3 - 892 = 0.
-7, -4, -1, -1/3, 0
Let l(i) be the third derivative of i**9/90720 + i**8/2160 + i**7/315 - i**5/60 + 87*i**2. Let n(w) be the third derivative of l(w). Factor n(b).
2*b*(b + 2)*(b + 12)/3
Let t = 1002321/40 - 25058. Let x(a) be the third derivative of t*a**6 + 0 + 5/32*a**4 + 1/10*a**5 + 1/8*a**3 + 0*a + a**2. Factor x(n).
3*(n + 1)*(2*n + 1)**2/4
Suppose -22*n + 498 = -74. Determine r so that 13 + 4*r**3 - 3*r**3 + 37*r**2 - 25*r - n*r**2 = 0.
-13, 1
Let k be (-10)/(-120)*114*(-28)/(-133). Suppose 2/3*v**5 - 12/5*v**k - 26/15*v**3 + 0 + 12/5*v**4 + 16/15*v = 0. What is v?
-4, -1, 0, 2/5, 1
Let q(t) = -3*t**2 + 27*t + 62. Let b be -3 + (-186)/(-24) - 1/(-4). Let m(x) = -7*x**2 + 54*x + 126. Let u(l) = b*q(l) - 2*m(l). Find d, given that u(d) = 0.
-2, 29
Suppose 4*l - 7*l + 21 = 0. Suppose -5*k = 4*a - 6, -2*k - 3*a = 3*k - l. Determine r so that -351 - 3*r**k + 351 = 0.
0
Determine y so that -546 - 544*y - 273*y**2 + 81*y**2 + 82*y**2 + 112*y**2 = 0.
-1, 273
Factor 25*y - 15*y - 43*y + y**2 - 20*y + 102.
(y - 51)*(y - 2)
Let s(m) be the second derivative of -m**6/30 + m**5/20 + 5*m**4/6 + 4*m**3/3 + 11*m - 5. Determine b so that s(b) = 0.
-2, -1, 0, 4
Factor -307*u + 132 + 145*u + 312*u - 847*u + 516*u**2 - 633*u + 58*u**3.
2*(u - 2)*(u + 11)*(29*u - 3)
Let g(u) be the third derivative of 2 + 0*u + 1/3*u**3 + 22*u**2 + 1/336*u**8 - 1/60*u**6 - 7/24*u**4 - 1/105*u**7 + 2/15*u**5. Suppose g(w) = 0. What is w?
-2, 1
Suppose 4*v - l = 2883 + 1213, -2*v - 2*l + 2058 = 0. Suppose -3*s - v + 1031 = 0. Solve -1/4*c**5 - 7/4*c**4 - 9/2*c**3 - 2*c - 5*c**s + 0 = 0.
-2, -1, 0
Suppose -2*k = -5*n + 356, -k + 0*k - 143 = -2*n. Suppose 59*a**3 + 13*a - 5*a**3 - n*a + 12*a**2 + 3*a**5 + 24*a**4 - 36 = 0. What is a?
-4, -3, -1, 1
Find q such that 7 + 89 - 30*q + 3*q + 13 - 19 - q**2 = 0.
-30, 3
Let f(i) = 21*i**4 + 123*i**3 - 660*i**2 + 876*i - 360. Let k(b) = 26*b**4 + 154*b**3 - 825*b**2 + 1095*b - 450. Let a(o) = -11*f(o) + 9*k(o). Factor a(q).
3*(q - 2)*(q - 1)**2*(q + 15)
Let g(f) be the second derivative of -4/5*f**6 + 8*f**4 + 8/3*f**3 + 31/5*f**5 + 1 + 27*f - 16/21*f**7 + 0*f**2. Find k, given that g(k) = 0.
-2, -1/2, -1/4, 0, 2
Let s(p) be the second derivative of 3/5*p**5 + 2*p + 1/3*p**4 + 0*p**2 + 8 + 0*p**3 + 2/21*p**7 + 2/5*p**6. Find r, given that s(r) = 0.
-1, 0
Let r(m) = 9*m + 20. Let h be r(-2). Find b such that 27*b + 2*b**4 + 4*b**3 - 27*b**h + 17*b**2 - 16*b**2 - 7*b = 0.
-5, 0, 1, 2
Let i(g) be the second derivative of g**8/336 - 5*g**7/168 + g**6/9 - g**5/6 + 4*g**3/3 - 5*g**2 - 81*g. Let p(z) be the second derivative of i(z). Factor p(j).
5*j*(j - 2)**2*(j - 1)
Let a(b) = -b**3 + 2*b**2 - b. Let y(o) = -3*o**4 - 60*o**3 - 48*o**2 - 3*o. Let z be (12/(-16))/((-12)/16). Let i(p) = z*y(p) - 3*a(p). Factor i(f).
-3*f**2*(f + 1)*(f + 18)
Suppose -118*p + 576*p - 1374 = 0. Factor 0 + 108/5*c**p + 0*c - 36/5*c**4 + 3/5*c**5 + 0*c**2.
3*c**3*(c - 6)**2/5
Suppose 5*f = -p - 48, -3*f + 0*p + p - 32 = 0. Let b = 12 + f. Let -6*y**b - y + 4*y**2 - 7*y - 10 + 20*y = 0. What is y?
1, 5
Let c(p) = 3*p**3 - 4*p**2 - 95*p + 6. Let d(h) = 19*h**3 - 25*h**2 - 568*h + 39. Let k(y) = 39*c(y) - 6*d(y). Factor k(t).
3*t*(t - 11)*(t + 9)
Let q(x) be the second derivative of 10*x + 0 + 65/6*x**3 - 55*x**2 - 5/12*x**4. Determine c, given that q(c) = 0.
2, 11
Let r be 140/8*90/(-25). Let l be r/(-35) - (-737)/(-440). Factor 0*g**2 + 5/8*g**4 + 0*g - 1/2*g**3 - l*g**5 + 0.
-g**3*(g - 4)*(g - 1)/8
Determine q, given that -3/5*q**4 - 63/5*q**2 + 0 + 24/5*q**3 + 54/5*q = 0.
0, 2, 3
Let v(s) be the third derivative of s**5/180 - 427*s**4/36 + 182329*s**3/18 + 2*s**2 + 458. Factor v(x).
(x - 427)**2/3
Let g(r) be the first derivative of 5*r**4/12 + 5*r**3/3 - 25*r + 88. Let k(v) be the first derivative of g(v). Solve k(t) = 0.
-2, 0
Let a be -4 + 1 + 12 + 201. Solve -a*k**2 + 52*k**2 + 59*k**2 + 215*k + 51*k**2 + 53*k**2 = 0 for k.
-43, 0
Let s(u) be the first derivative of 2*u**3/39 - 36*u**2/13 + 648*u/13 + 142. Determine z so that s(z) = 0.
18
Let c(r) be the third derivative of 27*r**8/728 + 21*r**7/65 + 16*r**6/15 + 316*r**5/195 + 44*r**4/39 + 16*r**3/39 + 10*r**2 + 15. Find m, given that c(m) = 0.
-2, -1, -2/9
Let f be (-14)/(-5)*5/(5/5). Let i be (4/f)/(40/105). Solve 0 + 3/2*z + i*z**2 = 0.
-2, 0
Suppose 56*p = 36*p + 100. Suppose 5*l + 3*y = -2, -p*l = y - 6*y - 30. Find w such that -1/3*w**l + 1/3*w**3 - 1/3*w**5 + 0*w + 1/3*w**4 + 0 = 0.
-1, 0, 1
Let n(l) be the third derivative of l**5/30 - l**4 - 160*l**3/3 + 724*l**2 - 1. Let n(w) = 0. What is w?
-8, 20
Let t(c) = -190*c**2 + 2319*c - 463. Let o be t(12). Factor -1/3*f**o - 718/3*f**3 - 675*f - 46/3*f**4 + 2250 - 1320*f**2.
-(f - 1)*(f + 2)*(f + 15)**3/3
Let m(x) be the second derivative of 1/3*x**4 - 1/10*x**5 + 12*x + 0 + 7/6*x**3 - 7/45*x**6 + 0*x**2. Let b(o) be the second derivative of m(o). Factor b(g).
-4*(2*g + 1)*(7*g - 2)
Factor 10*m**2 + 5/2*m**5 + 0*m + 20*m**3 + 25/2*m**4 + 0.
5*m**2*(m + 1)*(m + 2)**2/2
Let m(w) be the second derivative of w**5/60 - 32*w**4/9 + 469*w**3/2 - 1323*w**2 - 506*w. Solve m(h) = 0.
2, 63
Let v(i) be the second derivative of i**6/120 - 3*i**5/80 - 5*i**4/16 - 17*i**3/24 - 3*i**2/4 + 143*i. Solve v(t) = 0.
-1, 6
Let k(s) = 8*s**2 + 876*s - 436. Let y be k(-110). Let j(t) be the second derivative of -1/84*t**y - 1/21*t**3 + 0 + 4/7*t**2 + 40*t. Factor j(p).
-(p - 2)*(p + 4)/7
Let j = 1971/69500 + -1/2780. Let t = 479/750 + j. Determine y so that t*y**4 + 1/6*y + 0 + 3/2*y**3 + y**2 = 0.
-1, -1/4, 0
Let y(x) be the first derivative of -x**4/8 + 944*x**3 - 2673408*x**2 + 3364929536*x + 2935. Determine n, given that y(n) = 0.
1888
Let i(t) be the first derivative of t**5/40 + 7*t**4/32 - 5*t**3/12 - t**2 + 5494. Determine k, given that i(k) = 0.
-8, -1, 0, 2
Factor 3/4*x**4 + 135/4*x**3 + 33*x**2 + 0*x + 0.
3*x**2*(x + 1)*(x + 44)/4
Let o(m) = 92*m**3 - 1349*m**2 + 4843*m - 4608. Let k(z) = 15*z**3 - 225*z**2 + 807*z - 768. Let a(v) = 19*k(v) - 3*o(v). Find y such that a(y) = 0.
2, 64/3
Let j(o) be the first derivative of 1/9*o**3 + 218 + 25/3*o - 5/3*o**2. Determine b so that j(b) = 0.
5
Let x = 889/430 - 1563/860. Suppose 0*s**2 + 1/8*s - x*s**3 + 1/8*s**5 + 0 + 0*s**4 = 0. What is s?
-1, 0, 1
Let q(a) be the third derivative of 0*a + 1/15*a**5 + 0*a**3 + 0*a**4 + 0 - 128*a**2 + 1/30*a**6. Let q(u) = 0. Calculate u.
-1, 0
Let p = 3/1144 - -1713/1144. Let r(k) be the first derivative of 7/8*k**2 + p*k + 1/8*k**4 - 3/4*k**3 + 15. Determine a, given that r(a) = 0.
-1/2, 2, 3
Let m(d) = d**2 + 2535*d + 1625630. Let y(j) = 3*j - 1. Let c(n) = -m(n) - 5*y(n). Suppose c(h) = 0. Calculate h.
-1275
Let z(c) be the second derivative of -c**4/18 + 208*c**3/9 