170*d**2 - 354 + 479 + t*d**4 = 0. What is d?
-5, -1, 1
What is a in -46725/4*a + 261/4*a**3 + 71289/8 + 5409/2*a**2 + 3/8*a**4 = 0?
-89, 1, 3
Let q(p) be the second derivative of -p**6/135 + p**5/45 + p**4/54 - 2*p**3/27 - 2938*p. Let q(r) = 0. Calculate r.
-1, 0, 1, 2
Let n(i) be the second derivative of -23*i**5/4 + 455*i**4/12 + 10*i**3/3 + 1318*i. Determine s so that n(s) = 0.
-1/23, 0, 4
Suppose 0 = -44*t + 43*t + 3. Determine r, given that 4*r**4 + 89*r**3 + 60*r**2 + 91*r**t + 100*r - 216*r**3 = 0.
-1, 0, 5
Let x(v) = v - 2. Let c be x(4). Let j be (-21)/(-14)*16/12. Factor l**5 - 8*l**2 + 0*l**2 - j*l**3 + 136*l - 2 - 143*l + c*l**4.
(l - 2)*(l + 1)**4
Determine w, given that -571*w**2 + w - 34*w + 886*w**2 - 6*w - 24*w**3 = 0.
0, 1/8, 13
Let h be 29/1015*-2 + (-18)/(-21). Solve -h*q + 3/5*q**2 + 1/5*q**3 - 12/5 = 0.
-3, -2, 2
Let j(o) be the third derivative of -o**5/15 - 495*o**4/8 - 371*o**3/6 - 31*o**2 - 16. Factor j(a).
-(a + 371)*(4*a + 1)
Let q = -701 - -712. Suppose 0 = 2*m - 3*r - 16, q*m + 3*r + 10 = 10*m. Factor -5/2*g - 3 + 1/2*g**m.
(g - 6)*(g + 1)/2
Let h(b) be the second derivative of -b**5/24 + 305*b**4/24 + 205*b**3/4 + 925*b**2/12 + 25*b - 45. Factor h(v).
-5*(v - 185)*(v + 1)**2/6
Let k(i) = 2*i - 20. Let b be k(13). Factor -y**4 + 16*y + b - 21*y**2 + 33*y**2 - y**4.
-2*(y - 3)*(y + 1)**3
Let k be (766/13405)/(3/15). Determine l, given that -k*l**3 + 2/7*l + 2*l**2 + 0 - 2*l**4 = 0.
-1, -1/7, 0, 1
Let v(j) be the first derivative of j**4/10 + 52*j**3/15 + 21*j**2 + 5578. Factor v(n).
2*n*(n + 5)*(n + 21)/5
Let c(y) be the third derivative of -y**5/30 + 1097*y**4/12 - 730*y**3 + 7402*y**2. Find t, given that c(t) = 0.
2, 1095
Let m be ((-24)/8)/((-8)/8). Let w(x) be the second derivative of -18*x + 1/80*x**5 + 1/168*x**7 + 0*x**2 - 1/16*x**4 + 0 + 1/40*x**6 - 1/12*x**m. Factor w(r).
r*(r - 1)*(r + 1)**2*(r + 2)/4
Suppose 2/17*q**2 + 172/17*q - 352/17 = 0. What is q?
-88, 2
Let m be 34/(-170) + (-8852)/(-10). Suppose 1860*g + 6*g**3 + 3*g**3 + m*g**2 + 460 - 7*g**3 + 33*g**3 = 0. Calculate g.
-23, -2, -2/7
Let w(n) be the third derivative of n**5/120 - 79*n**4/24 - 53*n**3/4 - 852*n**2. Factor w(i).
(i - 159)*(i + 1)/2
Find z such that 1447*z**2 + 5361*z**2 + 4*z**4 + 450*z**3 - 105300*z + 4*z**4 - 5*z**4 + 8663*z**2 + 164268 = 0.
-78, 3
Factor -3/4*u**3 + 1/4*u**4 - 15*u + 0 - 16*u**2.
u*(u - 10)*(u + 1)*(u + 6)/4
Let z(x) be the third derivative of 0*x + 0 + 7/3*x**3 - 3/8*x**4 - 157*x**2 + 1/60*x**5. Suppose z(a) = 0. Calculate a.
2, 7
Let f(x) be the first derivative of x**7/168 - x**6/72 - x**3/3 - 2*x + 22. Let a(g) be the third derivative of f(g). Determine z so that a(z) = 0.
0, 1
Factor 1/4*k**3 + 15/4*k**2 - 637 - 42*k.
(k - 13)*(k + 14)**2/4
Let b(a) = a - 6. Let h be b(-3). Let y(n) = -3*n - 22. Let i be y(h). Factor -35*u**2 + i*u**3 + 75*u - 31 - 6 - 8.
5*(u - 3)**2*(u - 1)
Let s(k) be the second derivative of -4*k**6/15 + 53*k**5/10 - 173*k**4/6 + 184*k**3/3 - 36*k**2 - 22*k - 21. Solve s(t) = 0.
1/4, 2, 9
Let z = 288 + -266. Let c be (-380)/(-209) + 4/z. Solve -1/8*d**c - 1/2*d - 1/2 = 0.
-2
Let n(p) be the first derivative of p**4/21 - 2*p**3/21 - 8*p + 233. Let j(k) be the first derivative of n(k). Determine d, given that j(d) = 0.
0, 1
Let y(k) be the third derivative of -k**8/6720 + k**7/1680 + k**6/20 - 11*k**5/12 - 3*k**2 - 9. Let l(b) be the third derivative of y(b). Factor l(v).
-3*(v - 4)*(v + 3)
Let 196 + 76*l**3 - 1817*l**4 + 1821*l**4 + 925*l**2 - 1008*l - 193*l**3 = 0. Calculate l.
1/4, 1, 14
Let v(k) be the third derivative of k**6/120 + 117*k**5/20 + 9845*k**4/8 - 224287*k**3/6 + k**2 + 8*k + 36. Factor v(q).
(q - 7)*(q + 179)**2
Let z(i) = -5*i**3 + 36*i**2 - 85*i + 12. Let s(a) = -a**3 + a**2 - 13*a - 1. Let u(p) = 6*s(p) - 2*z(p). Factor u(k).
2*(k - 15)*(k - 1)*(2*k - 1)
Let u(m) = -8*m**3 + 1715*m**2 - 147975*m + 146208. Let h(i) = -105*i**3 + 22295*i**2 - 1923695*i + 1900705. Let k(n) = -3*h(n) + 40*u(n). Solve k(s) = 0.
1, 171
Let p = 5 - 6. Let f(h) = 0*h**3 - h**4 - 214 - 7*h**2 + 209 - 8*h - 11*h**3. Let q(l) = -l**3 + l**2 - 1. Let x(z) = p*f(z) + 5*q(z). Factor x(d).
d*(d + 2)**3
Let d(h) be the third derivative of -1/13*h**3 - 3*h**2 + 1/390*h**6 - 1/78*h**4 - 1/1365*h**7 + 2/195*h**5 + 0 - 29*h. Determine n, given that d(n) = 0.
-1, 1, 3
Let r(g) be the third derivative of -g**8/2856 - 19*g**7/1785 + 1541*g**6/1020 + 6115*g**5/102 - 8750*g**4/3 - 12250000*g**3/51 + 6*g**2 + 9. Factor r(a).
-2*(a - 28)**2*(a + 25)**3/17
What is q in -25*q**2 - 10*q**3 + 5/3*q**4 - 40/3*q + 0 = 0?
-1, 0, 8
Let i(q) be the third derivative of q**6/1140 - q**5/57 - 25*q**4/57 + 1000*q**3/57 + 1077*q**2. Factor i(l).
2*(l - 10)**2*(l + 10)/19
Let m = -24 + 24. Suppose m = -2*g + 6. Find n such that -n**g + 2*n**2 + 2 - 3 - 1 + 2*n - n**3 = 0.
-1, 1
Suppose -78*q - 18*q + 380 = 94*q. Factor -7/2*h + 0 + 1/2*h**q.
h*(h - 7)/2
Let j = 5054/3 + -404317/240. Let t(x) be the third derivative of j*x**6 + 0*x**4 - 32*x**2 + 1/20*x**5 + 0*x + 0 + 0*x**3. Find m such that t(m) = 0.
-2, 0
Let v(f) = f**2 - 379*f + 35912. Let z be v(189). Factor -64/17*a**z + 28/17*a**3 - 2/17*a**4 - 256/17*a + 0.
-2*a*(a - 8)**2*(a + 2)/17
Let a be (415/664)/((-90)/(-192)). Find v such that -2/3*v**5 - a*v**4 + 4*v**3 - 4 + 16/3*v**2 - 10/3*v = 0.
-3, -1, 1, 2
Suppose p - 6*c = -60, -407*p - 3*c + 30 = -402*p. Find s, given that -22/13*s**2 - 12/13*s + p - 8/13*s**3 = 0.
-2, -3/4, 0
Let r(o) = -o + 18*o**4 - o**2 - 4*o**4 - 15*o**4 - o**3. Let f(c) = -26*c**4 - 6*c**3 + 18*c**2 - 2*c. Let t(y) = f(y) - 4*r(y). Find x such that t(x) = 0.
-1, -1/11, 0, 1
Let z be (-2)/9 - 996/(-108). Suppose z*p - 105 = 21. Factor -24*o**2 + 2*o + 22*o**2 - p*o + 14.
-2*(o - 1)*(o + 7)
Suppose 0 = -47*s + 469 - 140. Let r(n) be the second derivative of 1/4*n**5 - 1/30*n**6 + 2*n**2 - 4*n - 1/42*n**s + 0 - 4/3*n**3 + 1/12*n**4. Factor r(z).
-(z - 1)**3*(z + 2)**2
Suppose 0 = -555*h + 207*h - 1667*h - 307 + 6352. Let 0 + 0*b - 27/5*b**2 + 3/5*b**h = 0. What is b?
0, 9
Let w(h) be the third derivative of h**5/60 + 25*h**4/24 + 25*h**3 + h**2 - 779*h. Factor w(b).
(b + 10)*(b + 15)
Let w(p) = p + 276. Let c be w(-20). Let o = c - 253. Factor 8/3*g**o - 8/3*g + 2/3*g**2 - 2/3*g**4 + 0.
-2*g*(g - 4)*(g - 1)*(g + 1)/3
Let b(s) be the third derivative of s**8/112 + s**7/7 - 57*s**6/40 - s**5/2 + 7*s**4 + 23*s**2 + 4*s. Find w, given that b(w) = 0.
-14, -1, 0, 1, 4
Let z be -12*(-1)/3 - (4 + 26). Let u be z/44 - 111/(-74). Determine g so that -u*g**2 + 4/11 + 6/11*g = 0.
-2/5, 1
Let g(y) be the first derivative of -25*y**4/4 - 155*y**3/3 - 159*y**2/2 - 45*y + 1377. Suppose g(q) = 0. Calculate q.
-5, -3/5
Let f(y) = -y**3 - y**2 - y - 2. Let d(p) = 66*p**2 + 1362*p + 7567. Let c(q) = -3*d(q) + 3*f(q). Factor c(z).
-3*(z + 9)*(z + 29)**2
Let z = -19123 + 19128. Let 28/5*q**2 - 28/5*q**3 + 72/5*q + 4/5*q**z - 12/5*q**4 + 32/5 = 0. Calculate q.
-1, 2, 4
Let i(n) be the third derivative of n**7/42 - 43*n**6/8 + 2065*n**5/4 - 655375*n**4/24 + 857500*n**3 + 28*n**2 - 2*n + 14. Factor i(k).
5*(k - 35)**3*(k - 24)
Let p(g) be the second derivative of g**4/3 + 36*g**3 + g**2 + 563*g. Let a be p(-54). Factor -w**a + 2/5 + 9/5*w.
-(w - 2)*(5*w + 1)/5
Let u(b) = b**2 + 1. Let f(a) = a**3 + 745*a**2 - 741*a + 5. Let h(z) = -f(z) + 5*u(z). Factor h(k).
-k*(k - 1)*(k + 741)
Let l(b) be the third derivative of 1/210*b**7 + 0*b + b**3 + 0 + 1/120*b**6 - 7/60*b**5 - 8*b**2 - 1/24*b**4. Let l(s) = 0. What is s?
-3, -1, 1, 2
Let r = 74 + -217. Let q be ((-2156)/r)/7 + 0 + -2. Suppose -2/13*i**4 + 2/13*i**5 + 2/13*i**2 + 0*i + 0 - q*i**3 = 0. Calculate i.
-1, 0, 1
Let u(x) = 2656*x + 69058. Let j be u(-26). Factor -2166 + 76*c - 2/3*c**j.
-2*(c - 57)**2/3
Suppose -2*q - 5 = -3*z, -3 = -3*z + 2*z. Suppose -245 = -59*l - 9. Suppose 4*k**4 + 2*k**4 + l*k**q - 8*k**4 - 2*k**2 = 0. What is k?
-1, 0, 1
Let t(d) = 9*d**2 + 7*d - 8. Let n be t(1). Determine i, given that -4*i**2 - 11 + 6 + 5 + 12 + n*i = 0.
-1, 3
Let i(h) be the second derivative of -3*h + 2 + 8/3*h**3 + 1/24*h**4 + 64*h**2. Factor i(y).
(y + 16)**2/2
Let q(s) be the third derivative of 14/9*s**4 + 0*s + 0*s**3 + 1/45*s**5 - 31*s**2 + 0. Factor q(d).
4*d*(d + 28)/3
Factor 0 + 35/6*d - 1/6*d**2.
-d*(d - 35)/