 the first derivative of -11*c**4 + 6/5*c**5 - 27*c**2 + 14*c + 1/3*c**6 - 17 + 76/3*c**3. Find a such that g(a) = 0.
-7, 1
Let d(i) be the first derivative of -2*i**3/33 + 2896*i**2/11 - 4193408*i/11 - 3633. Factor d(v).
-2*(v - 1448)**2/11
Let o be (-1)/5*(21 + -22). Let c(y) be the first derivative of 11/5*y**4 - 1 - o*y**2 - 8/5*y**3 + 1/5*y**6 - 28/25*y**5 + 4/5*y. Suppose c(n) = 0. What is n?
-1/3, 1, 2
Let y(x) = 17*x**2 - 8 - 21 + 10*x + 18 + x**3. Let z(t) = -2*t**3 - 18*t**2 - 10*t + 10. Suppose 7 = -3*f - 8. Let s(n) = f*z(n) - 4*y(n). Factor s(v).
2*(v + 1)*(v + 3)*(3*v - 1)
Let x(p) = -p**3 + 38*p**2 - 107*p + 76. Let l be x(35). Let z be (-55)/10 + l + (-2)/(-20). Let -z + 3/5*t + 6/5*t**2 = 0. Calculate t.
-1, 1/2
Let t(x) = -x**2 + 75*x - 64. Let b be t(0). Let n be b/8 - 50/(-5). Factor 2/7*u**2 + n*u + 12/7.
2*(u + 1)*(u + 6)/7
Let t be -5 - (1/(30/(-96)) + -2). Let u(z) be the first derivative of 0*z - 1/20*z**4 + 1/10*z**2 - t*z**5 + 13 + 1/3*z**3. Factor u(d).
-d*(d - 1)*(d + 1)*(5*d + 1)/5
Suppose -123*a + 124*a = 2. Let m be (-1 - -13)/((-24)/(-12)). Factor -41*b**a - m*b**3 + 0*b**3 - 2*b**4 + 37*b**2.
-2*b**2*(b + 1)*(b + 2)
Suppose -4*b - 30 = -7*b. Let t(n) = -11 + n + b*n - 4*n**3 + n. Let y(g) = -20*g**3 + 60*g - 54. Let m(p) = -14*t(p) + 3*y(p). Factor m(s).
-4*(s - 1)**2*(s + 2)
Let s(c) be the third derivative of -529*c**7/840 - 1679*c**6/480 - 223*c**5/40 - 49*c**4/24 - c**3/3 + 2645*c**2. Find h, given that s(h) = 0.
-2, -1, -2/23
Let b be ((-210)/189)/(60/(-27)). Find v such that -13/6*v**3 + 0 + 7/6*v**2 + b*v + 5/3*v**5 - 7/6*v**4 = 0.
-1, -3/10, 0, 1
Suppose 26 = 8*x - 30. Let o be (-11)/x - -1 - 16/(-28). Let 3/8*h**4 - 3/8*h**2 + 0 + 0*h + o*h**3 = 0. Calculate h.
-1, 0, 1
Factor 390 + 113*a - 18*a - 119273*a**2 + 119278*a**2.
5*(a + 6)*(a + 13)
Let u(m) be the third derivative of 0*m**4 + 1/40*m**6 + 0*m - 1/35*m**7 + 1/10*m**5 - 9*m**2 + 0*m**3 + 0 - 1/112*m**8. Let u(v) = 0. What is v?
-2, -1, 0, 1
Suppose 41/3*f - 1/9*f**2 - 122/9 = 0. Calculate f.
1, 122
Let i be -6 - 6/(-6) - (0 + -3). Let p be (-2)/(-1) - (i/1 + 4). Find o, given that p + 2*o**2 + 1/2*o = 0.
-1/4, 0
Let l(w) be the first derivative of -1/35*w**5 + 0*w - 1/21*w**4 - 8 - 1/210*w**6 - 5*w**2 + 0*w**3. Let i(q) be the second derivative of l(q). Factor i(v).
-4*v*(v + 1)*(v + 2)/7
Let h(l) = l**3 - 6*l**2 + 4*l - 8. Let j be h(6). Suppose 11*m - 7*m = j. Determine b, given that -4 - 1 - 3*b**2 - m*b - 5*b - 3*b**3 + 4*b**3 = 0.
-1, 5
Let b(c) be the second derivative of -c**6/5 - 4*c**5/5 + 25*c**4/6 - 14*c**3/3 - 2*c - 751. Determine s so that b(s) = 0.
-14/3, 0, 1
Let n(p) be the third derivative of 5*p**8/336 + 11*p**7/42 + 5*p**6/8 - 31*p**5/12 - 20*p**4/3 + 30*p**3 - 547*p**2. Solve n(h) = 0.
-9, -2, 1
Suppose -13*j - 197 = -769. What is u in -68*u**3 + 892*u**4 + 64*u**2 - 872*u**4 + 8 + 20*u**2 - j*u = 0?
2/5, 1
Factor -11*d**2 + 43/4*d**3 + 0 + 1/4*d**4 + 0*d.
d**2*(d - 1)*(d + 44)/4
Suppose -8447*j + 8400*j + 141 = 0. Suppose -14/3 - 2/3*x**j - 10/3*x**2 + 26/3*x = 0. What is x?
-7, 1
Let g be (-105)/14*(-4)/6. Let w be (-1131)/(-65) + (-2)/g. Suppose 22*h**2 + 1 - 1 - 5*h - w*h**2 = 0. Calculate h.
0, 1
Let j be (-5 + 1 + 0)*(-98)/(-20580)*-30. Let j + 20/7*v**2 + 6/7*v**3 + 18/7*v = 0. Calculate v.
-2, -1, -1/3
Determine g so that -75209*g + 37615*g - 75*g**2 + 72 + 3*g**4 + 37624*g - 30*g**3 = 0.
-2, -1, 1, 12
Let k be ((-23)/(-10) - (-12)/60)*2. Factor 2*l**2 - 4*l - 13 + l**3 + 0 + k.
(l - 2)*(l + 2)**2
Let c = -541/29 + 1865/58. Let 3/2*t**5 + 45/2*t**3 + 0*t + 0 - c*t**2 - 21/2*t**4 = 0. What is t?
0, 1, 3
Let u(p) be the third derivative of -p**5/30 - 15*p**4/4 + 94*p**3/3 + 1428*p**2. Find g such that u(g) = 0.
-47, 2
Solve -112*i**2 + 17*i**3 + 151110*i + 4 + 1 + 19 + 4*i**4 - 151043*i = 0 for i.
-8, -1/4, 1, 3
Let b(n) be the third derivative of 121*n**7/420 - 77*n**6/24 + 67*n**5/30 - n**4/2 - 1037*n**2. Suppose b(o) = 0. What is o?
0, 2/11, 6
Let u(i) be the second derivative of -i**7/420 - i**6/100 + 3*i**5/100 + i**4/12 - 7*i**3/20 + 9*i**2/20 - 7*i + 1. Suppose u(s) = 0. Calculate s.
-3, 1
Let k(y) be the first derivative of 10*y + 0*y**4 + 0*y**3 + 0*y**2 + 17 - 1/230*y**5 + 1/345*y**6. Let o(d) be the first derivative of k(d). Factor o(u).
2*u**3*(u - 1)/23
Let j(l) be the first derivative of l**6/180 + l**5/60 - l**4/2 - 33*l**3 + 155. Let f(r) be the third derivative of j(r). Factor f(v).
2*(v - 2)*(v + 3)
Let 388*r**2 - 2*r**3 - 79*r - 288*r**2 - 203*r = 0. Calculate r.
0, 3, 47
Let o(n) = n**3 - 45*n**2 + 252*n - 256. Let q be o(5). Factor -1/3*i**5 + 8/3*i**3 + 4*i**2 - 1/3*i**q + 0*i + 0.
-i**2*(i - 3)*(i + 2)**2/3
Let -274*l**4 - 298*l**4 - 303*l**4 - 120*l**3 - 112*l**2 + 827*l**4 - 4*l**5 - 29*l - 7*l = 0. Calculate l.
-9, -1, 0
Let l(k) = 4*k**3 - 1604*k**2 + 1273*k + 318. Let h(c) = 22*c**3 - 8018*c**2 + 6364*c + 1590. Let b(x) = -6*h(x) + 28*l(x). Solve b(a) = 0.
-1/5, 1, 159
Let i(w) be the first derivative of w**7/4200 - w**6/360 + w**5/75 - w**4/30 + 140*w**3/3 + 50. Let q(b) be the third derivative of i(b). Factor q(u).
(u - 2)**2*(u - 1)/5
Let l be 46/(-322) + (-1048)/112 + 10. Factor -l*v + 3/4 - 1/4*v**2.
-(v - 1)*(v + 3)/4
Suppose -112 = -3849*z + 7586. Factor -6/5 + 2/5*h**z + 4/5*h.
2*(h - 1)*(h + 3)/5
Let -2304 + 289*q**4 + 5562*q**3 - 46*q**4 - 6864*q**2 + 1238*q - 10550*q = 0. What is q?
-24, -4/9, 2
Let c(u) = u**2 - 96*u - 319. Let l(a) = -7*a**2 + 569*a + 1913. Let d(v) = -13*c(v) - 2*l(v). Find y, given that d(y) = 0.
-107, -3
Let z(v) be the first derivative of -1/2*v**2 + 0*v + 0*v**4 + 44 - 7/18*v**3 + 1/30*v**5. Suppose z(q) = 0. What is q?
-2, -1, 0, 3
Let d = 5936 + -5931. Let c(x) be the second derivative of 1/5*x**d - 1/20*x**6 - 31*x - 7/24*x**4 + 1/6*x**3 + 0*x**2 + 0. Let c(y) = 0. Calculate y.
0, 2/3, 1
Let w = -1091 + 1083. Let b be (-23)/21 + (560/(-42))/w. Factor -2*u**3 + 32/7*u**2 - 22/7*u + b.
-2*(u - 1)**2*(7*u - 2)/7
Let t(z) be the third derivative of 1/60*z**6 + 39*z**2 + 19/6*z**4 + 7/10*z**5 + 0*z**3 + 0 - 2*z. Find m, given that t(m) = 0.
-19, -2, 0
Let p(v) be the third derivative of 7/20*v**5 + 0 - 1/2*v**4 - 35*v**2 + 0*v - 3/2*v**3. Factor p(h).
3*(h - 1)*(7*h + 3)
Factor 86/3*p**2 - 1/3*p + 0.
p*(86*p - 1)/3
Let b(q) = 21*q + 206. Let o(p) = 41*p + 413. Let z(y) = 9*b(y) - 4*o(y). Let h be z(-8). Determine g, given that 8/7 + 4/7*g**h - 12/7*g = 0.
1, 2
Find q, given that 99/2*q**3 + 3/4*q**5 - 105/4*q + 21/2*q**4 - 225/2 + 78*q**2 = 0.
-5, -3, -2, 1
Let l(c) be the second derivative of -c**4/12 + 20*c**2 - 132*c. Let v be l(6). What is t in -12/7*t**2 + 3/7*t**5 - 9/7*t**3 + 0 + 6/7*t**v + 12/7*t = 0?
-2, 0, 1
Let a(t) be the first derivative of -4*t**6/195 - 7*t**5/130 + t**4/39 - 16*t + 61. Let n(r) be the first derivative of a(r). Factor n(x).
-2*x**2*(x + 2)*(4*x - 1)/13
Let t(q) be the first derivative of -99/7*q**2 + 162/7*q - 1/14*q**4 + 38/21*q**3 - 181. Factor t(w).
-2*(w - 9)**2*(w - 1)/7
Let d(n) be the first derivative of 68/9*n**3 - 13/3*n**4 - 7*n**2 - 144 - 1/9*n**6 + 6/5*n**5 + 10/3*n. Factor d(t).
-2*(t - 5)*(t - 1)**4/3
Let b be (4566/(-16))/1*76/513. Let j = b - -418/9. Factor -5/3*q - j - 1/6*q**2.
-(q + 5)**2/6
Suppose -2*q = 2*r + 16 - 56, q - 80 = -5*r. Suppose -19*t = -14*t - r. Solve -2/15*v + 2/15*v**t - 4/15 - 2/15*v**4 + 2/5*v**2 = 0.
-1, 1, 2
Suppose -m + 620 + 645 = 252*m. What is p in -1/5*p**m + 12/5*p**2 + 6/5*p**4 + 0 - 13/5*p**3 - 4/5*p = 0?
0, 1, 2
Let r = 27 - 23. Let c = -178 - -458. Determine q so that -6*q - c*q**3 + 12*q**2 + 3 + 286*q**3 - 3*q**r - 12 = 0.
-1, 1, 3
Let i(v) = -3*v**3 - 54*v**2 + 267*v + 4808. Let q be i(-18). Factor 1/3*d**q - 3 - 8/3*d.
(d - 9)*(d + 1)/3
Let j(h) be the first derivative of 4/25*h**5 - 88/5*h**2 + 42 - 88/15*h**3 - 96/5*h - 1/5*h**4. Determine f, given that j(f) = 0.
-2, -1, 6
Let y(b) be the second derivative of 0*b**2 + 0*b**4 - 23/75*b**6 + 0*b**3 + 1/15*b**7 + 128*b + 3/25*b**5 + 0. Factor y(x).
2*x**3*(x - 3)*(7*x - 2)/5
Let q(z) be the first derivative of 28/9*z**3 + 37/12*z**4 + 2/3*z**5 - 2*z**2 + 36 + 0*z. Determine p, given that q(p) = 0.
-2, 0, 3/10
Find t such that -52*t**2 + 1031*t**4 + 1004*t**4 - 3010*t**4 - 16*t + 1005*t**4 + 51*t**3 - 13*t**3 = 0.
-2, -4