12*k + 12*k**2 + 3/4*k**4 + 5*k**t + 15. Solve b(r) = 0 for r.
-2, -1
Suppose -30 = -2*n + 3*p, 841*n + p + 17 = 844*n. What is q in 3/8*q**4 + 1/4*q**5 + 3/8*q - 9/8*q**n + 0 + 1/8*q**2 = 0?
-3, -1/2, 0, 1
Factor -213/7*r**2 - 2880/7*r + 3/7*r**3 - 8964/7.
3*(r - 83)*(r + 6)**2/7
Factor 55*g**2 + g**2 + 53*g**3 - 8*g**4 + 5*g**5 + 39*g**3 - g**5 + 48*g**4.
4*g**2*(g + 1)*(g + 2)*(g + 7)
Let d be 36/50*12/48*-5*8/(-3). Find u, given that -4/5*u**2 - d*u + 16/5 = 0.
-4, 1
Let i(w) be the second derivative of w**6/1080 + 7*w**5/360 - w**4/4 + 3*w**3/2 - 3*w. Let y(k) be the second derivative of i(k). Factor y(h).
(h - 2)*(h + 9)/3
Factor 13 - i**5 - 102*i**2 + 18*i**4 - 29 - 44 - 2*i**5 + 12*i**3 - 32*i - 121*i.
-3*(i - 5)*(i - 4)*(i + 1)**3
Let d(q) be the second derivative of -q**7/147 + 5*q**6/21 - 17*q**5/35 - 46*q**4/3 - 184*q**3/3 - 704*q**2/7 + 3632*q + 2. Solve d(l) = 0.
-2, -1, 8, 22
Let l be ((-2)/(-75))/((-4738)/230 - -21). Let i(v) be the first derivative of -5 - 1/5*v + 0*v**2 + l*v**3. Let i(g) = 0. Calculate g.
-1, 1
Suppose -i - 97 = 5*c - 3*i, 0 = -2*c - 4*i - 34. Let x be (-12)/(-7) - (-3 + c/(-7)). Factor -20*a**x + 0 + 4 - 2 - 4*a**3 - 32*a - 18.
-4*(a + 1)*(a + 2)**2
Let -300 - 434*g - 11*g**2 - 6*g**2 + 5*g**2 + g**3 + 289*g = 0. Calculate g.
-5, -3, 20
Let h(n) be the second derivative of -n**6/135 - 16*n**5/45 - 128*n**4/27 + 1454*n. Factor h(q).
-2*q**2*(q + 16)**2/9
Let b(w) be the second derivative of 113*w + 8/3*w**2 + 1/18*w**4 + 1/30*w**5 + 0 - 10/9*w**3. Factor b(f).
2*(f - 2)*(f - 1)*(f + 4)/3
Let h(w) = -6*w + 100. Let q be h(18). Let b(n) = n**2 + 2*n. Let l(c) = -4*c**2 - 84*c + 72. Let r(g) = q*b(g) + l(g). Let r(t) = 0. What is t?
-9, 2/3
Let y(p) be the first derivative of -p**2/2 + 4*p + 38. Let q be y(2). Determine v, given that -6*v**4 + 3*v + 99*v**3 - 79*v**3 + v - 18*v**q = 0.
0, 1/3, 1, 2
Solve 963*j - 129 + 1173*j + 21*j**2 + 86 - 213 - 356 = 0 for j.
-102, 2/7
Let w be (7820/(-700) - -11)*84/(-54). Let -w*s**4 - 2/15*s**5 + 4/15*s**3 + 8/15*s**2 - 2/15*s - 4/15 = 0. What is s?
-2, -1, 1
Let q(t) be the third derivative of -t**7/630 - 11*t**6/360 + 7*t**5/30 + 1044*t**2. Solve q(r) = 0 for r.
-14, 0, 3
Determine p so that 32259*p - 5194*p**3 - 64522*p - 200*p**4 - 2*p**5 + 32263*p - 9604*p**2 = 0.
-49, -2, 0
Let w = 535 - 424. Determine m, given that 50*m**2 + 36*m + 60*m**2 - w*m**2 = 0.
0, 36
Let d(p) be the first derivative of 1/5*p**5 - 1/12*p**6 + 0*p + 0*p**4 + 14 + 0*p**2 + 0*p**3. Factor d(y).
-y**4*(y - 2)/2
Let a(c) be the first derivative of 3*c**5/5 + 141*c**4/4 + 44*c**3 - 138*c**2 + 4437. What is m in a(m) = 0?
-46, -2, 0, 1
Let k be 5 - (-13 - -4 - -11). Let u(c) be the first derivative of 0*c**2 + 5/4*c**4 + 19 - 5/3*c**k + 0*c. Find f, given that u(f) = 0.
0, 1
Let m(q) be the first derivative of -q**6/9 - 52*q**5/15 + 17*q**4/3 + 376*q**3/9 - 11*q**2 - 108*q - 1183. Suppose m(p) = 0. Calculate p.
-27, -2, -1, 1, 3
Let t = -69968 - -489778/7. Solve 12/7*o - 8/7*o**3 + 2/7*o**4 + 0 + t*o**2 = 0.
-1, 0, 2, 3
Let c(t) be the third derivative of -1/756*t**8 - 1/135*t**5 + 0*t**4 + 0 + 127*t**2 + 0*t + 1/108*t**6 - 1/945*t**7 + 0*t**3. Suppose c(h) = 0. What is h?
-2, 0, 1/2, 1
Let y be 2/16 + 2/((-16)/225). Let x = 31 + y. Factor 2*h**2 + 75*h**x + 6*h**2 - 77*h**3.
-2*h**2*(h - 4)
Let h be 41/(-1)*(-9 + (-45)/5). Let d = -5163/7 + h. Solve 6/7*a - d - 3/7*a**2 = 0 for a.
1
Let z(d) be the second derivative of -25*d**7/14 - 1379*d**6/6 - 19283*d**5/20 + 8781*d**4/4 - 4001*d**3/3 + 356*d**2 - 9520*d. What is i in z(i) = 0?
-89, -4, 1/5, 2/3
Let w(j) be the second derivative of -j**5/48 + 5*j**4/24 + 25*j**3/24 + 33*j**2/2 - 13*j. Let a(o) be the first derivative of w(o). Let a(t) = 0. Calculate t.
-1, 5
Let p(l) be the third derivative of -l**7/70 + 4*l**6/15 - 91*l**5/60 + 19*l**4/12 + 4*l**3 - 756*l**2. Solve p(h) = 0 for h.
-1/3, 1, 4, 6
Let w(v) be the second derivative of -v**10/166320 - 17*v**9/83160 - 35*v**4/6 + 55*v. Let z(c) be the third derivative of w(c). Factor z(d).
-2*d**4*(d + 17)/11
Let q = -16 + 96. Suppose 2*t - q*t = -3*t. Determine v, given that 3/5*v**2 + 0*v + 3/5*v**4 + 6/5*v**3 + t = 0.
-1, 0
Let k(f) be the second derivative of -f**6/900 - f**5/10 - 15*f**4/4 - 2*f**3 + f + 41. Let c(j) be the second derivative of k(j). Factor c(d).
-2*(d + 15)**2/5
Let x(v) be the third derivative of -v**7/420 - 35*v**6/3 - 435711*v**5/20 - 33949071*v**4/2 - 270722079*v**3/4 - 2*v**2 + 3*v + 65. Find c such that x(c) = 0.
-933, -1
Let t(m) = m**2 - 24*m + 85. Let f be t(20). Suppose -10 = -35*y + 32*y + 2*b, 3*y + 25 = -f*b. Find x, given that 0*x + y*x**2 - 2/5*x**3 + 2/5*x**4 + 0 = 0.
0, 1
Let t be (35/7 - (-1082)/8)*-4. Let d be (-153)/t - (-5)/(-99). Factor 8/9*z**3 + 0 - d*z**4 + 4/9*z - 10/9*z**2.
-2*z*(z - 2)*(z - 1)**2/9
Let p(r) = 59*r**2 + 31*r + 28. Let x(a) = 25*a**2 + 15*a + 14. Let d(h) = 3*p(h) - 7*x(h). Factor d(o).
2*(o - 7)*(o + 1)
Let n = 310 - 307. Let -30*w**2 - n*w**3 - 99*w - 17 - 74 - 17 = 0. Calculate w.
-4, -3
Let n = -849599 + 849610. Find k such that 10/3*k**4 + 1/3 + 31/3*k**3 + 13/3*k + n*k**2 = 0.
-1, -1/10
Let w be (0 - 1)*87/(-145). Suppose 2*l - 2*o - 6 = 0, -9 = 3*l - 4*l - 5*o. Factor 0 + 14/5*x**2 - w*x - 7/5*x**3 - 4/5*x**l.
-x*(x - 1)*(x + 3)*(4*x - 1)/5
Factor -3/2*c**2 - 1464*c - 357216.
-3*(c + 488)**2/2
Let r(g) be the second derivative of -2*g**7/21 - 594*g**6/5 - 199803*g**5/5 - 594073*g**4/3 - 394864*g**3 - 394272*g**2 + 767*g. Solve r(h) = 0.
-444, -1
Let n(k) be the third derivative of k**6/480 - k**5/6 + 307*k**4/96 + 29*k**3/2 - 1209*k**2. Determine f so that n(f) = 0.
-1, 12, 29
Let g(x) be the third derivative of -x**7/630 - x**6/20 + 2*x**5/15 + 49*x**4/36 + 19*x**3/6 + 3*x**2 + 244*x. Determine j so that g(j) = 0.
-19, -1, 3
Let a = -1234363 + 6171838/5. Determine r, given that a*r**4 + 361/5*r**2 - 64*r - 1/5*r**5 + 20 - 163/5*r**3 = 0.
1, 10
Determine p, given that 0 + 5*p + 27/4*p**2 + 7/4*p**3 = 0.
-20/7, -1, 0
Let r = 366 - 361. Suppose m = -0*w + 2*w - 1, 0 = 4*w - m - r. Factor -2/7*z**w + 0 + 2/7*z + 2/7*z**4 - 2/7*z**3.
2*z*(z - 1)**2*(z + 1)/7
Let d(f) be the first derivative of -188/5*f - 152/5*f**3 - 151 - 327/5*f**2 + 1/2*f**4. Factor d(l).
2*(l - 47)*(l + 1)*(5*l + 2)/5
Suppose 15*y = -0*r - 2*r + 53, r - 6*r + 20 = 0. Factor -23/3*h**y + 0 - 10/3*h**2 + 8/3*h - 5/3*h**4.
-h*(h + 1)*(h + 4)*(5*h - 2)/3
Let a be 55/(-10) - -5 - (-10)/4. Suppose -4*m + 15 = i, 0 = -3*m - 30*i + 32*i + 3. Let 0 + 2/3*r + 7/3*r**a + 5/3*r**m = 0. What is r?
-1, -2/5, 0
Let v(f) = 3*f**4 + 73*f**3 + 1445*f**2 + 1373*f - 2. Let m(n) = n**4 - n**3 + n**2 + 2*n - 1. Let z(y) = -4*m(y) + 2*v(y). Find k such that z(k) = 0.
-37, -1, 0
Let o(v) = 326*v + 3590. Let h be o(-11). Let n(u) be the third derivative of 1/180*u**5 + 0 + 0*u - 4*u**2 + 1/72*u**h - 1/9*u**3. Factor n(t).
(t - 1)*(t + 2)/3
Let y = 743 - 727. Suppose 33*p + 35*p - 40*p**2 + y*p = 0. Calculate p.
0, 21/10
Let d = 40 - 38. Suppose -3*b**d + 64*b - 1323 - 51*b + 88*b + 25*b = 0. Calculate b.
21
Let t be 515/(-150)*6 - (-2 + -19). Determine g, given that 44/5*g + t*g**2 - 46/5 = 0.
-23, 1
Let r be ((-8)/(-30))/(18/45). Let t be 33/9 + -1 + -2. Factor -r - 4/3*l - t*l**2.
-2*(l + 1)**2/3
Let 841/5 - u**3 - 4263/5*u + 291/5*u**2 = 0. What is u?
1/5, 29
Let c(x) be the first derivative of -3*x**2/2 - 45*x - 15. Let y be c(-15). Find g such that y*g**4 - 10*g**3 + 12*g**4 - 5*g**2 + 3*g**4 = 0.
-1/3, 0, 1
Let t(o) = -o**3 + 23*o**2 + 24*o + 5. Let c be t(24). Factor -2*r**2 - c*r + 105*r**3 + 2*r - 104*r**3.
r*(r - 3)*(r + 1)
Let o(b) be the first derivative of -44*b + 328/3*b**2 + 84 - 25/12*b**4 - 805/9*b**3. Factor o(v).
-(v + 33)*(5*v - 2)**2/3
Let j(m) be the first derivative of 78*m**2 + 84 + 116/3*m**3 + 5*m**4 - 36*m. Solve j(b) = 0 for b.
-3, 1/5
Let m be -6 + (-76)/6*(-16)/288*9. Let 2/3*d**2 - d + m = 0. What is d?
1/2, 1
Let p(j) be the third derivative of 7/40*j**5 + 106*j**2 + 0 + 3/16*j**4 + 1/16*j**6 + 1/140*j**7 + 0*j**3 + 0*j. Factor p(r).
3*r*(r + 1)**2*(r + 3)/2
Let p be (-171)/(-72) - 936/2496. Factor 11/8*b**3 - 1/8*b**4 + 13/8*b**p - 11/8*b - 3/2.
-(b - 12)*(b - 1)*(b + 1)**2/8
Let m(c) be the second derivative of -c**6/5 - 8*c**5/5 + 10*c**4 - 32*c