*a - 1859. Let c be g(-19). Let r(h) be the third derivative of -5/12*h**5 + 0 + 5/3*h**4 - 10/3*h**c + 0*h + 27*h**2 + 1/24*h**6. Factor r(v).
5*(v - 2)**2*(v - 1)
Let f(a) = a**2 - 4*a - 216. Let r be f(17). Let c be (-370)/(-333)*3/r. Let -c*d**2 - 10/3*d + 0 = 0. What is d?
-5, 0
Let m = -80713 - -80715. Let -2/7*l**3 - 4*l - 16/7 - 2*l**m = 0. What is l?
-4, -2, -1
What is v in -3/7*v**5 + 0*v + 0 + 0*v**2 - 102/7*v**4 - 720/7*v**3 = 0?
-24, -10, 0
Suppose 6*z - 4 = 1904. Factor -592*i - i**2 + z*i - 676 + 326*i.
-(i - 26)**2
Let o be 16/24*6/4 + 2. Find m, given that 84*m**2 + 79*m**3 + 88*m - 47*m**o + 2*m**4 + 32 + 2*m**4 = 0.
-4, -2, -1
Factor 498*v**2 + 20123 - 497*v**2 + 37958 + 482*v.
(v + 241)**2
Let n be 3232*4/(-1176) + 11. Let y(u) be the second derivative of 27*u + 0*u**3 + 0*u**5 + 0 + 0*u**6 - n*u**7 + 0*u**2 + 0*u**4. Factor y(p).
-2*p**5/7
Let t(j) be the third derivative of -j**7/840 - 3*j**6/40 - 17*j**5/40 - 19*j**4/12 - 7*j**2. Let d(h) be the second derivative of t(h). Factor d(a).
-3*(a + 1)*(a + 17)
Let n(a) be the third derivative of 5/21*a**7 - 35/24*a**4 + 86*a**2 + 0 - a**6 + 11/6*a**5 + 0*a + 0*a**3 - 5/336*a**8. Suppose n(r) = 0. Calculate r.
0, 1, 7
Suppose -8*z = 787 - 67. Let p be -2*(-9)/(z/(-25)). Solve 4/7*m**3 + 0*m**2 - 4/7*m**p + 0*m + 0 + 0*m**4 = 0 for m.
-1, 0, 1
Find c, given that -5922*c + 133089/4*c**2 + 3/4*c**5 - 33135 - 549/4*c**4 + 23685/4*c**3 = 0.
-5, -1, 1, 94
Let s = -82 + 190. Let f = s - 90. Factor 13*r + 10*r - f - 3*r - 5*r + 3*r**2.
3*(r - 1)*(r + 6)
Let -39/5*m**4 - 1173/5*m**2 - 96 + 1286/5*m + 407/5*m**3 - 1/5*m**5 = 0. What is m?
-48, 1, 2, 5
Suppose -i + u - 4*u - 516 = 0, 0 = i - u + 536. Let b = i + 1909. Factor -9*j**3 - 3*j**4 + 1378 - b.
-3*j**3*(j + 3)
Suppose 128*i = -338*i. Let c(r) be the third derivative of i*r - 16*r**2 + 1/30*r**3 + 0*r**4 - 1/300*r**5 + 0. Find p such that c(p) = 0.
-1, 1
Suppose -5*w = -9*w + 60. Solve -3350*l**3 + 0*l - 6*l**4 - 3*l**5 - 18 - w*l + 24*l**2 + 3368*l**3 = 0 for l.
-3, -1, 1, 2
Suppose 2*y - 5*y - 3*o + 48 = 0, -3*y = -o - 56. Let i(j) = -2*j**2. Let f(g) = 16*g**2 + 2. Let w(c) = y*i(c) + 2*f(c). Determine z, given that w(z) = 0.
-1, 1
Let s(t) = t - 4. Let z be s(4). Suppose 2*c + 8 = z, -3*j + 3*c = -c - 931. Factor -j*u**5 + 150*u**5 + 152*u**5 + 3*u**4.
-3*u**4*(u - 1)
Let z(n) be the first derivative of -n**5/90 - n**4/4 - 39*n**2 - 16. Let h(c) be the second derivative of z(c). Let h(q) = 0. What is q?
-9, 0
Let y(v) be the first derivative of -v**6/240 - v**5/20 + 7*v**4/48 + 33*v**2 - 109. Let p(f) be the second derivative of y(f). Solve p(j) = 0 for j.
-7, 0, 1
Suppose 29584/3 - 144*h**2 + 602*h - 32/3*h**3 = 0. What is h?
-43/4, 8
Let b(t) be the second derivative of t**8/84 + 8*t**7/105 + 2*t**6/15 + 32*t**2 - 7*t + 2. Let z(f) be the first derivative of b(f). What is u in z(u) = 0?
-2, 0
Let m be (18/4)/(1197/798). Let n(f) be the third derivative of -5/8*f**4 + 0*f - 41*f**2 + 0*f**m + 1/24*f**6 + 0 - 1/6*f**5. Factor n(w).
5*w*(w - 3)*(w + 1)
Let k(z) = -18*z**2 - 279*z + 192. Let y(n) = n**2 + 6. Let b(f) = -k(f) - 15*y(f). Solve b(o) = 0 for o.
-94, 1
Let d = 1/266599 + 3732381/1332995. Let 28/5 - 66/5*p - 108/5*p**2 - d*p**3 = 0. Calculate p.
-7, -1, 2/7
What is s in 32/9*s**2 + 0 + 0*s - 2/9*s**4 + 10/3*s**3 = 0?
-1, 0, 16
Let w = -417107539/609 - -684906. Let d = -4/203 + w. Find y, given that -y - 2/3 - d*y**2 = 0.
-2, -1
Suppose 5*s = 2*s - 12. Let y be ((-8)/s)/(2/5). Factor -10 - y - 2*d**2 + 17.
-2*(d - 1)*(d + 1)
Let o be (-3)/(((-27)/8)/(((-621)/(-36))/23)). Let x(r) be the first derivative of -2*r**2 + 35 + 0*r + o*r**3. What is k in x(k) = 0?
0, 2
Let c(p) be the second derivative of p**5/100 + p**4/10 + 181*p + 4. Factor c(i).
i**2*(i + 6)/5
Let u(z) be the first derivative of z**3/12 - 15*z**2 - 200. Factor u(b).
b*(b - 120)/4
Factor -74 - 100*f**2 - 88 + 348*f - 71 + 8 - 27 + 4*f**3.
4*(f - 21)*(f - 3)*(f - 1)
Let l(u) be the third derivative of u**5/360 - 115*u**4/144 + 19*u**3/6 - 4127*u**2. Factor l(h).
(h - 114)*(h - 1)/6
Let k = 57 - 26. Suppose 13 = 2*v - 3*w, 0 = -4*v + 4*w + k - 7. Determine q, given that 2 + 5*q - q**2 + 0*q**2 - 2*q**2 + v*q**2 = 0.
-2, -1/2
Suppose -271 = -5*b - 2*p, 2*b + 17 = -5*p + 138. Suppose -b*r - 2 = -54*r. Let -2*c**r + 212*c + 205*c - 429*c = 0. Calculate c.
-6, 0
What is x in -34848 + 43564*x**4 + 528*x**3 - 43562*x**4 - 13141*x**2 - 528*x + 47987*x**2 = 0?
-132, -1, 1
Suppose -j + 1404*k = 1408*k + 16, j - 5*k - 29 = 0. Find h, given that h**2 + 0 - 1/4*h**j + 1/4*h**3 - h = 0.
-2, 0, 1, 2
Let y = -4/92333 - -184702/830997. Let s be 52/(-65) + (-4)/(-5). Suppose s*l - 4/9*l**3 + 0*l**2 + 0 + 2/9*l**5 - y*l**4 = 0. Calculate l.
-1, 0, 2
Let s(r) be the second derivative of -r**4/28 - 2669*r**3/7 - 21370683*r**2/14 + 3365*r. Factor s(w).
-3*(w + 2669)**2/7
Let u(n) = -n**3 - 2*n**2 + 13*n + 14. Let j be u(-5). Let f = j + -16. Let 1/2*w**2 + f - 4*w = 0. Calculate w.
4
Let h(a) = a**2 + 19*a - 12. Let r(u) = 2*u. Suppose -6*c - 9 + 3 = 0. Let x(q) = c*h(q) + 4*r(q). Find i, given that x(i) = 0.
-12, 1
Let -110/7 - 109/7*b + 1/7*b**3 + 2/7*b**2 = 0. Calculate b.
-11, -1, 10
Let z(l) be the first derivative of 968*l + 2/3*l**3 - 44*l**2 - 169. What is d in z(d) = 0?
22
Let l = 5461 - 3176. Determine a so that 239 - 76*a**3 + 6*a**4 + 548 + l - 32*a**3 + 1164*a**2 - 3456*a - 3*a**4 = 0.
2, 16
Let f(s) be the third derivative of -2*s**7/105 + 4*s**6/15 + 3*s**5/5 + 436*s**2. Solve f(n) = 0.
-1, 0, 9
Let w(l) = -38*l**2 - 5*l - 6. Let r be w(-2). Let z be r/(-18) - 16/72. Suppose 4*u**2 - 6*u - z*u - 2*u + 8*u = 0. What is u?
0, 2
Let u(d) be the second derivative of -36/7*d**2 + 10 - 3*d - 32/21*d**3 - 1/6*d**4. Determine p, given that u(p) = 0.
-18/7, -2
Suppose 7*z - 3*z = -4*o + 24, 12 = 2*z - 5*o. Suppose -z*b + u = -7*b, 2*b - u = 0. Determine f so that b - 6/5*f - 1/5*f**2 = 0.
-6, 0
Suppose 5*m = -5*r - 80, -546*m + 5*r + 83 = -550*m. Factor 1/3*u**m + 3/2 + 0*u - 7/6*u**2.
(u - 3)*(u + 1)*(2*u - 3)/6
Factor -933156*o - 1197463*o**2 + 91*o**4 - 95*o**4 + 268171*o**2 + 3860*o**3.
-4*o*(o - 483)**2*(o + 1)
Let w(p) be the third derivative of p**7/70 + 23*p**6/8 - 119*p**5/5 - 11616*p**2. Suppose w(c) = 0. Calculate c.
-119, 0, 4
Determine p so that -6 + 5*p**4 - 8*p**4 + 35*p**2 - 114 - 217*p**2 - 41*p**3 - 284*p = 0.
-6, -5, -2, -2/3
Let g(p) be the third derivative of 1/960*p**6 + 1/60*p**5 + 0 + 7/64*p**4 + 0*p + 155*p**2 + 3/8*p**3. Solve g(o) = 0 for o.
-3, -2
Suppose -63 - 3/5*u**4 - 474/5*u**2 + 708/5*u + 84/5*u**3 = 0. What is u?
1, 5, 21
Let t(k) = -160209*k**3 - 14392*k**2 - 320*k - 4. Let y(f) = -160208*f**3 - 14374*f**2 - 320*f - 3. Let u(j) = 3*t(j) - 4*y(j). Factor u(v).
5*v*(179*v + 8)**2
Let a = 1/2341 + 9357/16387. Let p(n) be the second derivative of 75/14*n**4 + 0 + 20/7*n**3 - 3*n + a*n**2. Determine c, given that p(c) = 0.
-2/15
Let i(u) be the second derivative of -u**5/110 - 19*u**4/66 + 70*u**3/33 + 8*u**2 - 1256*u. Factor i(v).
-2*(v - 4)*(v + 1)*(v + 22)/11
Let d(r) be the second derivative of -r**6/20 - 9*r**5/20 - 9*r**4/8 - r - 2259. Let d(b) = 0. Calculate b.
-3, 0
Find v, given that 0*v**2 - 20/19*v**4 + 32/19*v**3 + 0 + 0*v + 2/19*v**5 = 0.
0, 2, 8
Solve 187*t**2 - 70*t**2 + 153 - 399*t + 50*t**3 + 72*t**2 + 61*t**3 - 60*t**2 + 6*t**4 = 0.
-17, -3, 1/2, 1
Suppose 0 = 30*z + 15*z - 180. Suppose 3*q - 22 = -4*b, -6*q = -z*q + 5*b - 24. Solve -3/2*n**3 + 0*n + 0 - 3*n**q = 0.
-2, 0
Solve -8*z**2 + 2240 - 254*z + 638*z + 2719 + 4*z**2 - 5339 = 0 for z.
1, 95
Let r(x) = -x**3 + 2*x**2 - x. Let w(v) = -3*v**3 - 114*v**2 + 1434*v - 2400. Let a(f) = -6*r(f) + w(f). Solve a(o) = 0 for o.
2, 20
Let y(v) be the first derivative of v**6/6 + 2*v**5 - 17*v**4/4 - 62*v**3/3 + 26*v**2 + 88*v - 3768. Solve y(r) = 0 for r.
-11, -2, -1, 2
Determine c so that -455618*c**4 + 585352*c**3 + 57941*c**5 - 638983*c**5 - 4310*c + 1159924*c**2 - 704310*c**4 + 4 = 0.
-2, -1, 1/539, 1
Let m(p) be the third derivative of -864*p**3 + 54*p**4 - 9/5*p**5 + 0 + 0*p + 1/40*p**6 - 83*p**2. Find n such that m(n) = 0.
12
Suppose 6 = x + 2*b, -b + 3 = 3*x - 5. Factor 6557 + 4*i**x - 3281 - 3276 + 220*i.
4*i*(i + 55)
Let h(t) be the first derivative of t**3/27 - 151*