- 2/11*v + 2/11*v**u - 2/11*v**2 + 0 = 0 for v.
-1, 0, 1
Let k(r) be the second derivative of 1080*r**7 - 10053*r**6/5 + 7506*r**5/5 - 551*r**4 + 268*r**3/3 + r**2 - 3092*r. Find q, given that k(q) = 0.
-1/280, 1/3
Let l be 4/34 - 2024/(-136). Let s(f) = 75*f**2 + 610*f + 350. Let d(n) = 11*n**2 + 87*n + 50. Let c(g) = l*d(g) - 2*s(g). Factor c(j).
5*(j + 5)*(3*j + 2)
Let q = -48 - -49. Let x be 15 - 7 - ((0 - q) + -3). Determine w so that -3*w**2 + 163 + 20*w**3 - 7*w**2 - 3*w - 5*w**5 - 153 - x*w = 0.
-2, -1, 1
Suppose 3*v - 11 = -4*n, -17 = -18*v + 14*v - 3*n. Let h(i) be the first derivative of 0*i + 1/5*i**v - 18 + 20/3*i**3 - 2*i**4 - 8*i**2. What is m in h(m) = 0?
0, 2, 4
Factor 112 + 196*g + 210*g**2 - 112 - 2*g**4 + 13*g**3 - g**3.
-2*g*(g - 14)*(g + 1)*(g + 7)
Let v(q) be the second derivative of q**6/540 - q**4/4 + 2*q**3 + q**2/2 - 108*q. Let i(s) be the second derivative of v(s). Factor i(d).
2*(d - 3)*(d + 3)/3
Let c be (-2)/(-10) - (-1 - (-32)/(-40)). Let h be -3 + c - -1*4. Find j such that 106*j**5 + 25*j**4 - 25*j**2 + 10*j - 206*j**5 + 115*j**5 - 25*j**h = 0.
-2, -1, 0, 1/3, 1
Suppose u = -1, -12 = -3*w + 4*u - 80. Let x be (-84)/w*(-30)/(-14). Factor 0*j - x*j**4 + 0*j**2 + 5/2*j**5 + 0 + 5*j**3.
5*j**3*(j - 2)*(j - 1)/2
Let q(w) be the second derivative of -w**5/20 + 2*w**4 + 77*w**2/2 + 2*w - 96. Let p(h) be the first derivative of q(h). Solve p(d) = 0.
0, 16
What is t in 102/5 - 32/5*t**2 - 1/5*t**3 + 71/5*t = 0?
-34, -1, 3
Suppose 2*d**4 - 160*d + 0 + 214*d**2 - 282/5*d**3 + 2/5*d**5 = 0. Calculate d.
-16, 0, 1, 5
Let u(a) be the third derivative of -a**5/6 + 29*a**4/2 - 616*a**3/3 + a**2 + 663*a - 4. Factor u(d).
-2*(d - 4)*(5*d - 154)
Let b(a) be the first derivative of a**6/120 - 3*a**5/20 + 3*a**4/4 + 92*a + 15. Let d(r) be the first derivative of b(r). What is y in d(y) = 0?
0, 6
Suppose 4027*w + 11 = 4013*w + 39. Find k such that 22/5*k**w - 2/5*k**4 - 4/5*k + 0 + 8/5*k**5 - 24/5*k**3 = 0.
-2, 0, 1/4, 1
Let f(u) be the first derivative of -30*u**2 + 125/3*u**3 + 23 - 20*u - 45/4*u**4. Suppose f(w) = 0. Calculate w.
-2/9, 1, 2
Let c(h) be the third derivative of 0*h**3 - 90*h**2 - 1/14*h**7 + 1/3*h**5 + 0 + 0*h**6 + 0*h - 5/336*h**8 + 0*h**4. Factor c(i).
-5*i**2*(i - 1)*(i + 2)**2
Let x(n) be the second derivative of -n**5/30 - 11*n**4/9 - 40*n**3/9 + 6506*n. What is k in x(k) = 0?
-20, -2, 0
Let f = 458 - 456. Let 191 + 15*k + 3*k**2 - 5*k**f - 96 - 3*k**2 - 105*k = 0. Calculate k.
-19, 1
Let i(q) be the third derivative of -5/3*q**4 + 3/8*q**6 - 5/336*q**8 + 1/6*q**5 + 0 + 0*q + 95*q**2 - 1/21*q**7 + 0*q**3. Determine p, given that i(p) = 0.
-4, -1, 0, 1, 2
Let r(h) = -h**2 + 2*h. Let l(q) = -2*q**2 + 34*q - 33. Let z = -687 + 688. Let n(c) = z*r(c) + l(c). Factor n(a).
-3*(a - 11)*(a - 1)
Suppose 3*z = 0, 18*k - 15*k - z = 450. Suppose -42*u**3 + 3*u**4 - 53*u**2 - k*u - 51 - 147*u**2 + 56*u**2 = 0. Calculate u.
-1, 17
Let a(z) = 13*z + 23. Let s be a(-24). Let v be (-63)/18 - (-2)/4 - s. Factor -2*c**2 + 7*c**2 - 5*c**3 - 286 + 10*c + v.
-5*c*(c - 2)*(c + 1)
Let g = -13192 + 13200. Let l(r) be the first derivative of -38 + 8/3*r**3 + g*r + 2/3*r**6 - 16/5*r**5 + 4*r**4 - 10*r**2. Factor l(w).
4*(w - 2)*(w - 1)**3*(w + 1)
Let u(h) be the first derivative of -h**3/3 - 27*h**2 - 329*h - 195. What is c in u(c) = 0?
-47, -7
Let q = -151 + 103. Let v = 55 + q. Factor 1 - v + 10*p**2 - 35*p**3 + 6.
-5*p**2*(7*p - 2)
Suppose 21 = -2*f + 5*j, 0*f - 2*j + 12 = f. Solve 868 + 33*u**f - 41*u - 2*u**3 + u**3 - 37*u - 820 - 2*u**3 = 0 for u.
1, 2, 8
Let m(k) be the second derivative of -k**4/66 + 61*k**3/33 - 118*k**2/11 - 25*k + 48. Solve m(d) = 0 for d.
2, 59
Factor 316 + 152/3*q - 53*q**2 + 1/3*q**3.
(q - 158)*(q - 3)*(q + 2)/3
Let v(h) be the first derivative of -h**3/9 - 10*h**2/3 - 100*h/3 - 601. Factor v(q).
-(q + 10)**2/3
Let o be 315/(-144) + 2 + -1. Let k = o - -235/144. Find s, given that 16/9 + k*s**2 - 20/9*s = 0.
1, 4
Factor 2*s**3 - 43 + s**3 - 127*s**2 - 3*s + 253 - 83*s**2.
3*(s - 70)*(s - 1)*(s + 1)
Let g(a) be the third derivative of 1/330*a**6 + 2/165*a**5 - 1/1155*a**7 + 2 - 1/3696*a**8 + 0*a + 0*a**3 + 0*a**4 + 13*a**2. Factor g(r).
-r**2*(r - 2)*(r + 2)**2/11
Let -389428 + 1310176 - 1548*z - 1221*z - 1391*z + 836*z + 3*z**2 = 0. What is z?
554
Let g(u) be the second derivative of -u**4/4 + 35*u**3/2 - 144*u**2 + 1726*u. Factor g(p).
-3*(p - 32)*(p - 3)
Suppose -2*x - 10 = 7*m, -5*m = 4*x - 6*m - 10. Solve 2/13*s**2 + x*s - 28/13 = 0 for s.
-14, 1
Let h(c) be the second derivative of c**4/3 + 3320*c**3/3 + 1377800*c**2 - 150*c + 14. Factor h(v).
4*(v + 830)**2
Let r(g) be the third derivative of -32/15*g**3 + 0 + 1/525*g**7 + 0*g - 309*g**2 + 1/25*g**5 + 8/15*g**4 - 7/300*g**6. Factor r(u).
2*(u - 4)**2*(u - 1)*(u + 2)/5
Let a be 1562/44 + (-1)/(-2). Factor 20 - l**2 + 3*l**2 + 0*l**2 - 6*l**2 - a + 20*l.
-4*(l - 4)*(l - 1)
Let g(n) be the third derivative of n**6/60 + 539*n**5/360 - 5*n**4/16 - 1925*n**2. Let g(m) = 0. Calculate m.
-45, 0, 1/12
Let c(a) = a**3 + 96*a**2 - 111*a - 10654. Let i be c(-96). Factor -20/17 - i*o - 16/17*o**2 - 2/17*o**3.
-2*(o + 1)*(o + 2)*(o + 5)/17
Let j(i) = 2*i**2 + 2*i + 1. Let r(z) = -9*z**2 + 1332*z - 1293. Let x(y) = 6*j(y) - r(y). Suppose x(n) = 0. Calculate n.
1, 433/7
Let u be 2304/48*(2 - 0 - 13). Let r = -2111/4 - u. Let r + 1/4*z**2 + 1/2*z = 0. What is z?
-1
Let o = -400 - -408. What is k in 35*k - 2*k**3 - 16*k**3 - 30 + o*k**3 + 5*k**3 = 0?
-3, 1, 2
Let c(i) be the second derivative of -i**7/105 - 4*i**6/75 + 11*i**5/25 + 2*i**4/15 - 7*i**3/5 - 480*i - 2. Suppose c(z) = 0. What is z?
-7, -1, 0, 1, 3
Let k(b) = -3*b - 10. Let w(g) = g**2 + g + 5. Let p(l) = -k(l) - 2*w(l). Let h(r) = -r**2 - 83*r + 1764. Let q(a) = 2*h(a) - 2*p(a). Factor q(s).
2*(s - 42)**2
Determine j so that 354/5*j**2 - 352/5*j + 117/5 - 24*j**3 + 1/5*j**4 = 0.
1, 117
Let l(a) = -11*a**3 + 113*a**2 + 273*a + 188. Let w(c) = -5*c**3 + 56*c**2 + 137*c + 94. Let y(x) = 6*l(x) - 13*w(x). Factor y(r).
-(r + 1)*(r + 2)*(r + 47)
Let o(t) be the third derivative of -t**6/120 - t**5/20 + 3*t**4/8 - 5*t**3/6 + 1321*t**2. Suppose o(s) = 0. Calculate s.
-5, 1
Let h be (-1 + -5)/(-6)*9. Determine y, given that -5 + 26 + 0 + h*y - 15 + 3*y**2 = 0.
-2, -1
Let m(l) be the third derivative of l**8/1848 + 2*l**7/1155 + l**6/660 - 77*l**2 + 11*l + 1. Let m(t) = 0. Calculate t.
-1, 0
Let f(g) = -2*g**3 + 31*g**2 - 31*g + 243. Let o be f(15). Let y(v) be the second derivative of 0*v**2 + 5/6*v**o + 0*v**4 - 1/4*v**5 + 0 - 13*v. Factor y(n).
-5*n*(n - 1)*(n + 1)
Let r(x) be the third derivative of x**8/560 - x**6/20 + x**5/5 - 3*x**4/8 - 19*x**3/3 + 39*x**2. Let q(i) be the first derivative of r(i). Factor q(o).
3*(o - 1)**3*(o + 3)
Suppose -5*u - 2*a + 8 + 4 = 0, 4*u - 20 = a. Let 43*v**4 + v**3 - 34*v**4 - 170*v + 169*v**3 - 1445 + 646*v**2 - u*v**4 + 794*v**2 = 0. Calculate v.
-17, -1, 1
Let b = 64 - 58. Suppose -2*l = 8, -3*d - 3 = 3*l + b. Find s such that -10*s - 6 - s**2 - d + 0 + 2*s = 0.
-7, -1
Let w(d) = 127*d + 893. Let n(v) = 35*v - 182. Let g be n(5). Let t be w(g). Suppose 5/4*f**t - 5/4*f + 5/4*f**3 + 0 - 5/4*f**2 = 0. What is f?
-1, 0, 1
Let k = -8/23237 - -48356269/209133. Let m = -231 + k. Factor 2/9*x**2 + 2/9*x**3 - 2/9 - m*x.
2*(x - 1)*(x + 1)**2/9
Suppose 16 = -14*v + 72. Suppose f + 9 + 7 = y, -v*y - 3*f = -36. Find m, given that 158 - 158 + 3*m**4 - y*m**3 = 0.
0, 4
Suppose 2520 = -28*n + 11340. Let x be 420/n*7/12*2. Find o, given that 4/9 + 2/3*o - 8/3*o**2 + x*o**3 = 0.
-2/7, 1
Factor 300*j**2 - 48*j**3 + 375/4 - 1275/4*j.
-3*(j - 5)*(8*j - 5)**2/4
Let -317426*m + 35197 + 20*m**4 + 270840 + 103332*m**2 + 1737058*m - 72780 + 317863 - 3112*m**3 = 0. Calculate m.
-10, -2/5, 83
Let i = 697996 - 697891. Factor i*h + 3675/2 + 3/2*h**2.
3*(h + 35)**2/2
Let n(c) be the third derivative of 19/2*c**5 + 15/112*c**8 + 0 + 4/3*c**7 - 68*c**2 + 5*c**3 + 5*c**6 + 0*c + 235/24*c**4. Factor n(b).
5*(b + 1)**3*(b + 3)*(9*b + 2)
Let o be (-20)/(-8)*(-16)/(-5). Factor 0*r**3 - 2*r**3 - o*r + 2*r**4 + 10*r**2 - 6*r**3 - 2*r**3 + 6*r**2.
2*r*(r - 2)**2*(r - 1)
Suppose 9*c - 4*c + 1 = 4*y, 2*c = 3*y - 6. Suppose 3*v + 37*v - 93*v**3 + 50*v**3 + 48*v**c + 45*v**2 = 0. Calculate v.
-8, -1, 0
Let s = -2