606*u - 2. Let v(h) = 0. What is h?
-4, 0, 1, 6
Let d(u) be the first derivative of 24*u - 77 + 11/2*u**2 + 1/3*u**3. Factor d(n).
(n + 3)*(n + 8)
Let z(x) be the second derivative of -x**5/20 + 67*x**4/12 - 85*x**3/2 + 189*x**2/2 - 4341*x. Factor z(o).
-(o - 63)*(o - 3)*(o - 1)
Let d = -4/1369 - -2750/4107. Let b(i) be the first derivative of 0*i**2 + d*i**3 - 2*i - 19. Find q, given that b(q) = 0.
-1, 1
Let c = -1923383 + 1923387. Suppose 14/5*m**3 - c + 16*m**2 + 46/5*m = 0. What is m?
-5, -1, 2/7
Let b(r) be the second derivative of 2/21*r**7 + 0*r**2 + 64/3*r**3 - 314*r - 22/15*r**6 - 64/3*r**4 + 42/5*r**5 + 0. Determine v so that b(v) = 0.
0, 1, 2, 4
Let v = -19470 + 19473. Let t(m) be the second derivative of 17*m + 0*m**6 - 16/21*m**v + 4/35*m**5 + 0*m**2 + 0 + 0*m**4 - 1/147*m**7. Solve t(z) = 0.
-2, 0, 2
Let j(f) be the second derivative of -f**3/3 + 3*f**2 - 33*f. Let b be j(2). Suppose 3*r**3 - 2534 + 3*r + r**2 + 2552 - 13*r**b = 0. Calculate r.
-1, 2, 3
Let i(h) be the second derivative of -4/3*h**3 + 24*h**2 + 2 + 1/36*h**4 - 27*h. Factor i(t).
(t - 12)**2/3
Suppose 15 = 5*t, t - 17 = -4*o - 2*t. Let y = 1457/12 + -27467/228. Factor 2/19*j**3 + y*j**o + 54/19*j + 54/19.
2*(j + 3)**3/19
Let j(z) be the first derivative of -278 + 27/2*z + 17/2*z**3 + 27/16*z**4 - 243/8*z**2 - 3/5*z**5. Let j(y) = 0. Calculate y.
-3, 1/4, 2, 3
Let v(q) be the second derivative of 9 + 2/15*q**6 - 2/5*q**5 + 0*q**2 + 0*q**4 + 2/21*q**7 + 0*q**3 + 18*q. Solve v(a) = 0.
-2, 0, 1
Let x be 1*10/45 - 48/(-27). Factor 0 - 3/2*o**x - o + 1/2*o**4 + 0*o**3.
o*(o - 2)*(o + 1)**2/2
Suppose -5*h - 2*h**4 - 8/7*h**2 + 22/7 + 34/7*h**3 + 1/7*h**5 = 0. Calculate h.
-1, 1, 2, 11
Factor 31/5*w**2 + 1/5*w**3 - 136/5*w + 28.
(w - 2)**2*(w + 35)/5
Suppose -17 = -4*i + 39. Let c be ((-9)/(-21))/(2/i). Determine w, given that 9*w**3 - 10*w**3 - 1 - w**3 - 2*w + 4*w**c + w**4 = 0.
-1, 1
Let r(j) be the second derivative of j**6/90 + 11*j**5/30 + 3*j**4 - j**3/6 + 2*j**2 + j + 6. Let x(o) be the second derivative of r(o). Solve x(l) = 0 for l.
-9, -2
Let z(q) be the second derivative of q**5/12 - 185*q**4/12 + 6845*q**3/6 + 44*q**2 - q + 22. Let x(o) be the first derivative of z(o). Factor x(h).
5*(h - 37)**2
Factor 1191*z**2 + 884*z**2 + 2150*z - 94*z**2 + 5*z**3 - 4320 + 184*z**2.
5*(z - 1)*(z + 2)*(z + 432)
Factor -2/9*p**3 + 62*p - 96 - 28/3*p**2.
-2*(p - 3)**2*(p + 48)/9
Let -377221 - 181437*j**3 - 30*j**5 + 5*j**5 - 1138990*j**2 + 479993 + 2896800*j + 1053228 - 2715338*j**3 - 17010*j**4 = 0. Calculate j.
-340, -1, -2/5, 1
Let y(f) be the third derivative of f**5/420 + 8*f**4/21 - 67*f**3/14 - 12138*f**2. Find r, given that y(r) = 0.
-67, 3
Find h such that 1546/9*h**3 + 892430/9*h + 592900/9 + 100358/3*h**2 + 2/9*h**4 = 0.
-385, -2, -1
Factor -16/13*z**3 + 24/13*z**2 + 0 - 2/13*z**4 + 2/13*z**5 + 0*z.
2*z**2*(z - 2)**2*(z + 3)/13
Let v(n) be the third derivative of 0*n + 3/25*n**5 - 8/5*n**3 + 0 + 1/105*n**7 - 148*n**2 + 7/100*n**6 - 1/3*n**4. Let v(o) = 0. What is o?
-2, -6/5, 1
Let i(a) be the third derivative of a**6/280 - 241*a**4/56 + 120*a**3/7 + 1685*a**2. Factor i(k).
3*(k - 15)*(k - 1)*(k + 16)/7
Let p(l) be the third derivative of 0 - 2/15*l**5 + 8*l - 1/3*l**4 + 4*l**2 - 1/3*l**3. Factor p(u).
-2*(2*u + 1)**2
Let b(m) be the first derivative of 38 - 8/3*m + 22/3*m**2 + 4/3*m**5 - 4/3*m**3 - 11/3*m**4. Determine i, given that b(i) = 0.
-1, 1/5, 1, 2
Let t(x) be the second derivative of 23*x**4/18 + 85*x**3/18 - 7*x**2/3 + 79*x + 28. Suppose t(s) = 0. What is s?
-2, 7/46
Suppose -47 + 35 = 3*r - 39. Factor -r*d - 3/2*d**2 + 0.
-3*d*(d + 6)/2
Factor -2/5*p**4 - 18928/5*p + 0 + 104/5*p**2 + 76/5*p**3.
-2*p*(p - 26)**2*(p + 14)/5
Factor 6/5*h - 6/5*h**3 + 0 + 2/5*h**2 - 2/5*h**4.
-2*h*(h - 1)*(h + 1)*(h + 3)/5
Let m be -3 + (-10)/(-4) - -3. Let s = 4339/8602 + -19/4301. What is p in -5/2*p**2 - s*p**4 - m*p + 5/2*p**3 + 3 = 0?
-1, 1, 2, 3
Let x = 268 - 268. Let d be x + 9 - (-91)/(-21). Let 2/3*t**5 - d*t - 4/3 + 4/3*t**4 - 16/3*t**2 - 4/3*t**3 = 0. What is t?
-1, 2
Let q(l) be the first derivative of -l**4/3 - 20*l**3/9 - 4*l**2 + 981. Factor q(d).
-4*d*(d + 2)*(d + 3)/3
Suppose 462400/7 + 4/7*l**3 + 110160/7*l - 192*l**2 = 0. Calculate l.
-4, 170
Let g = 26924 - 134602/5. Factor -4*d + g + 2/5*d**2.
2*(d - 9)*(d - 1)/5
Let p = -264 - -267. Suppose 5*r - 9*r + 14 = -p*c, -4*r + 20 = 0. Factor 1/4*d**c + 5/4*d + 3/4 - 1/4*d**3.
-(d - 3)*(d + 1)**2/4
Suppose 21 = 4*n - 63. What is v in -n*v - 18 - 25*v**2 + 63*v**2 - 20*v**2 - 21*v**2 = 0?
-6, -1
Factor 1712*g - 1164*g**2 - 13*g**3 - 40*g**2 - 52*g**2 + g**3 + 1696.
-4*(g - 2)*(g + 106)*(3*g + 2)
Let k(p) be the second derivative of -8*p**7/63 + 1418*p**6/45 - 6086*p**5/3 - 29101*p**4/3 - 17880*p**3 - 16200*p**2 - 577*p. Determine r, given that k(r) = 0.
-1, -3/4, 90
Let v = -1/786 - -593/2751. Let u = 12/7 - v. Factor x**3 - 4*x + 1/2*x**4 - u*x**2 - 2.
(x - 2)*(x + 1)**2*(x + 2)/2
Let x(c) be the first derivative of 8/3*c**2 - 1/18*c**4 - 2/9*c**3 + 50*c - 13. Let w(h) be the first derivative of x(h). Factor w(o).
-2*(o - 2)*(o + 4)/3
Factor -810/13*v + 2916/13 + 72/13*v**2 - 2/13*v**3.
-2*(v - 18)*(v - 9)**2/13
Suppose 7*a + 2*f + 10 = 11*a, -2*a = 3*f - 1. Solve 4*k**2 - 17 - 2*k**a + 30*k + 62 + 3*k**2 = 0.
-3
Suppose -540 - 6*z**5 + 18*z**4 + 927*z - 2214*z**3 + 3*z**5 + 2250*z**3 - 438*z**2 = 0. Calculate z.
-5, 1, 3, 4
Let n(b) = 22*b**3 + b**2 - 5*b - 2. Let a be n(2). Factor 168 - 5*u**2 + a - 30*u - 256.
-5*(u - 2)*(u + 8)
Let s be (8 - (6 - 2)) + 6/(-2). Let f be 21/(-28)*(3 + -4 - s). Find a such that f*a**3 + 1/3*a - 11/6*a**2 + 0 = 0.
0, 2/9, 1
Let o be 8178/(-2552)*21/(-54). Let i = 1/264 + o. Suppose 45/4*u - 15/2*u**2 + i*u**3 - 5 = 0. What is u?
1, 4
Let x(w) be the first derivative of -w**8/1008 - w**7/126 - w**6/120 + w**5/20 + 27*w**2/2 - 46. Let p(g) be the second derivative of x(g). Factor p(d).
-d**2*(d - 1)*(d + 3)**2/3
Let b be (-33)/(-42) - (-3)/(-6). Let p(u) = -35*u**2 + 103*u + 6. Let j be p(3). Determine k, given that -b*k + 0 + 2/7*k**3 + j*k**2 = 0.
-1, 0, 1
Let o(d) = 2*d**2 - 23*d + 44. Let y be o(14). Let y*m - 85*m**2 - 72*m**2 - 52*m**3 + 54*m**3 + 41*m**2 = 0. Calculate m.
0, 1, 57
Let q(h) be the first derivative of -6*h**5/35 + 61*h**4/14 - 22*h**3/3 + 19*h**2/7 + 245. Suppose q(v) = 0. What is v?
0, 1/3, 1, 19
Suppose 0 = -2*t - y + 26, -3*t - 122*y + 39 = -123*y. Let m(h) be the second derivative of 1/14*h**4 - 1/35*h**5 - 1/21*h**3 + 0 + 0*h**2 + t*h. Factor m(v).
-2*v*(v - 1)*(2*v - 1)/7
Suppose -8*g + 56 = 6*g. Factor 631*c**5 + c + 4*c**g + 6*c**3 - 630*c**5 + 0*c**3 + 4*c**2.
c*(c + 1)**4
Let j(c) = -56*c**3 + 2*c + 3. Let f be j(-1). Factor -9 - 2 + 19*z - 3*z**2 - 4*z + f - 4.
-3*(z - 7)*(z + 2)
Let d be ((-1)/2)/(100/1200*1/(-2)). Let t(g) be the first derivative of -1/35*g**5 - d + 2/21*g**3 - 1/28*g**4 + 0*g**2 + 0*g. Let t(j) = 0. Calculate j.
-2, 0, 1
Let n(a) be the second derivative of -a**6/75 - 26*a**5/25 - 81*a**4/10 - 76*a**3/3 - 188*a**2/5 + 2853*a. Find q such that n(q) = 0.
-47, -2, -1
Let x(i) = -17*i**3 - 20*i**2 + 529*i - 527. Let d(k) = -22*k**3 - 27*k**2 + 706*k - 702. Let h(j) = 7*d(j) - 9*x(j). Determine q, given that h(q) = 0.
-19, 1, 9
Suppose 3*y - 2*w = 7*y + 4, 3*w + 12 = -3*y. Let a be 4/2 + (-2)/(-2). Factor -58*o**4 + o**3 + o**a + y*o**3 + 66*o**4.
4*o**3*(2*o + 1)
Let t(w) = -26*w + 364. Let d be t(14). Let v(l) = -l + 14. Let g be v(12). Factor -2/3*f**g + 2*f + d.
-2*f*(f - 3)/3
Determine l, given that 3044*l**3 + 64*l**5 - 1440*l + 739*l**2 + 90 + 865*l**2 + 1056*l**4 - 93 + 211 = 0.
-13, -2, 1/4
Suppose -56*v + 208/5*v**2 - 2/5*v**5 - 384/5 + 78/5*v**3 - 28/5*v**4 = 0. What is v?
-16, -2, -1, 2, 3
Let w be 192/15 - 2392/299. Factor 16/5 - 12*s**2 + 34/5*s**3 - 6/5*s**4 + w*s.
-2*(s - 2)**3*(3*s + 1)/5
Suppose 2*n + 6*n = 32. Let p be 19 - 0 - n/(-2). What is h in 32 + 3*h**2 + h - p*h + h**2 - 4*h = 0?
2, 4
Let n be -678*(-5)/30*1. Factor 103 - 255*o - n - 225*o**2 + 20*o.
-5*(o + 1)*(45*o + 2)
Let d(w) = -2*w**3 - 3*w**2 - 13*w - 25. Let o be d(-2). Let b be 6 + (o + -4)*-3. Factor 2/3*h + 0*h**2 - 2/9*h**b - 4/9.
-2*(h - 1)**2*(h + 2)/9
Suppose -3*g - 3*u = -g + 25, 0 = 4*g - 2*u + 10. Let d be (-54)/1*g/10. Suppose -6*h