 - 9*u**2/5 - 2*u/5 + 4807. Let j(c) = 0. Calculate c.
-1, -1/4, 1
Let u(b) be the first derivative of -5/6*b**4 - 2/9*b**3 + 2/15*b**5 + 8 - 8/3*b + 8/3*b**2 + 1/9*b**6. Factor u(r).
2*(r - 1)**3*(r + 2)**2/3
Let g be (1140/(-513))/(((-20)/(-6))/(-5)) + 2/(-6). Solve -16/3 + 10/3*s - 1/3*s**g + 7/3*s**2 = 0.
-2, 1, 8
Let 28/17*q**4 + 286/17*q**3 + 0 - 2/17*q**5 - 504/17*q + 192/17*q**2 = 0. What is q?
-6, -2, 0, 1, 21
Let z(u) be the third derivative of -u**6/420 - 167*u**5/210 + u**4/84 + 167*u**3/21 - 66*u**2. Find y, given that z(y) = 0.
-167, -1, 1
Let v(t) be the second derivative of 0*t**2 - 5/3*t**3 - 1/540*t**5 + 0 - 10*t + 1/540*t**6 - 1/54*t**4. Let g(m) be the second derivative of v(m). Factor g(r).
2*(r - 1)*(3*r + 2)/9
Let h(g) = g**3 + 14*g**2 + 7*g + 30. Let q(c) = -4*c. Let r(k) = -4*h(k) + 36*q(k). Factor r(t).
-4*(t + 1)*(t + 3)*(t + 10)
Let b be (-1 - -4)/(-19*25/(-475)). Solve 0 + 0*v - 40/3*v**5 - 64/3*v**4 - 2/3*v**2 - 26/3*v**b = 0 for v.
-1, -1/2, -1/10, 0
Let o(r) be the second derivative of 2*r**6/45 + r**5 + 74*r**4/9 + 88*r**3/3 + 48*r**2 + 136*r. Factor o(b).
4*(b + 1)*(b + 2)*(b + 6)**2/3
Let l(y) be the second derivative of -y**6/6 - 3*y**5/20 + 5*y**4/12 + y**3/2 - 1381*y. Factor l(w).
-w*(w - 1)*(w + 1)*(5*w + 3)
Let b(u) be the third derivative of -1/3*u**3 + 7/120*u**4 + 2*u**2 - 1/300*u**5 - 37 + 0*u. Factor b(l).
-(l - 5)*(l - 2)/5
Let m(q) be the first derivative of -q**4/4 + 16*q**3/3 + 17*q**2/2 - 477. What is r in m(r) = 0?
-1, 0, 17
Let y(p) be the second derivative of -p**6/6 + 3*p**5/4 + 15*p**4/4 + 25*p**3/6 - 807*p. Factor y(q).
-5*q*(q - 5)*(q + 1)**2
Let f be (-3 - 351/(-104)) + (-1)/3. Let i(q) be the first derivative of -9/2*q - 1/2*q**3 - 15 + f*q**4 + 9/4*q**2. Factor i(c).
(c - 3)**3/6
Let f(j) = j**2 + 11*j - 12. Let p be f(-12). Let l be (-174)/(-145)*(p + 10/3). Factor -7*h**2 + 0*h**2 + l*h + 2*h**2 + 8 - 7*h**2.
-4*(h - 1)*(3*h + 2)
Let o = -314609858/249 - -1263498. Let m = 6/83 + o. Factor -8*k**4 + 0*k + m*k**5 + 4/3*k**2 + 2*k**3 + 0.
2*k**2*(k - 1)**2*(7*k + 2)/3
Let f be 4/(-8)*(-113 - -113). Suppose 30/17*q - 4/17*q**2 - 2/17*q**3 + f = 0. What is q?
-5, 0, 3
Let a(v) be the first derivative of 25*v**4/4 + 265*v**3 - 80*v**2 - 6361. Solve a(z) = 0.
-32, 0, 1/5
Suppose -7*n - r = -8*n + 1, 4 = 5*n - 4*r. Let l(b) = 3*b**3 - b**2 + 1. Let c be l(1). Solve -2/5*t - 4/5*t**4 + n + 0*t**2 + 6/5*t**c = 0 for t.
-1/2, 0, 1
Let h = -2350 + 3350. Factor -8*u**2 + 2*u**2 + 0*u**2 - 1001*u**3 + h*u**3 - 8*u.
-u*(u + 2)*(u + 4)
Let u(n) = -9*n - 3 - n**3 - 198*n**2 + 201*n**2 + 6. Let t(a) = 2*a**3 - 3*a**2 + 9*a - 2. Let s(y) = 2*t(y) + 3*u(y). Factor s(b).
(b - 1)**2*(b + 5)
Find l such that 9*l**2 - 403*l + 52 + 201*l + 36 = 0.
4/9, 22
Factor 37737031 - 4*h**2 + 197*h - 37736895 - 65*h.
-4*(h - 34)*(h + 1)
Let v be ((-2)/63)/(((-7680)/70)/32). Let b(s) be the second derivative of 0 + 15*s + 0*s**2 - 1/54*s**3 - v*s**4. Suppose b(j) = 0. What is j?
-1, 0
Let s(v) = -9*v**2 + 6569*v - 2. Let n(u) = -2*u**2 + 37*u - 1. Let k(o) = -2*n(o) + s(o). Suppose k(q) = 0. Calculate q.
0, 1299
Let a(d) = 11*d**2 + 553*d + 1070. Let z(i) = 20*i**2 + 1105*i + 2144. Let v(f) = 7*a(f) - 4*z(f). Factor v(o).
-3*(o + 2)*(o + 181)
Let m = -2390 - -2394. Let c(j) be the second derivative of 32/5*j**3 + 4/5*j**m + 6*j + 3/100*j**5 + 0*j**2 + 0. Let c(v) = 0. Calculate v.
-8, 0
Factor -1/5*w**2 + 552/5 + 34/5*w.
-(w - 46)*(w + 12)/5
Let -640 - 384*b - 4/5*b**3 - 168/5*b**2 = 0. Calculate b.
-20, -2
Let v = -519 + 511. Let z be (-2)/(-6)*33 + v. Factor -z*b**3 + 12*b - 1/2*b**2 - 8 - 1/2*b**4.
-(b - 1)**2*(b + 4)**2/2
Let y(j) = -12*j + 771. Let o be y(64). Let u(z) be the first derivative of 5*z**2 + 2/3*z**o - 1/2*z**4 + 6*z + 6. Find r such that u(r) = 0.
-1, 3
Let u(v) = 19*v + 5*v + 12*v**2 + 36 - 2*v - 2*v**2. Let z(i) = -4*i**2 - 9*i - 15. Let c(f) = -5*u(f) - 12*z(f). Suppose c(d) = 0. What is d?
-1, 0
Let x(u) be the first derivative of u**2/2 + 8*u - 7. Let z be x(-6). Factor -z*t + 2*t**2 + 5 - 6 - 3.
2*(t - 2)*(t + 1)
Let s(r) be the first derivative of 480*r**4 - 208*r**3 + 111*r**2/4 - 3*r/2 + 2665. Determine v, given that s(v) = 0.
1/16, 1/5
Determine h so that 2/3*h**2 - 238/3*h - 484/3 = 0.
-2, 121
Let d(q) be the third derivative of -203/30*q**5 + 43/360*q**6 - 1/1260*q**7 + 10933/72*q**4 + 19*q**2 + 24389/36*q**3 - 3 + 0*q. Determine n so that d(n) = 0.
-1, 29
Let j(o) = 62*o - 310. Let a be j(5). Let r(n) be the second derivative of 44/21*n**4 - 38/21*n**3 + a + 4/7*n**2 - 5*n. Factor r(m).
4*(4*m - 1)*(11*m - 2)/7
Let q = 241 - 223. Find a, given that 75*a**4 - 93*a**3 + 2220 + 36*a**5 + q*a**2 - 2220 = 0.
-3, 0, 1/4, 2/3
Let s(x) be the first derivative of 3/2*x**4 + 3*x**2 + 0*x + 9*x**3 - 2*x**6 - 27/5*x**5 - 135. Solve s(g) = 0.
-2, -1, -1/4, 0, 1
Let t = -151 - -153. Factor -45*z + 14*z**2 - 16*z**t - 20*z + 60 + 7*z**2.
5*(z - 12)*(z - 1)
Let i(v) be the third derivative of -v**8/42 - 3*v**7/35 + 3*v**6/20 + 8*v**5/15 - v**4 + 628*v**2 - v. Determine p so that i(p) = 0.
-2, 0, 3/4, 1
Let l be (-198)/18 + 10 - (-18)/3. Let g(d) be the first derivative of 2/5*d**l - 8/3*d**3 + 1/2*d**4 - 1/6*d**6 - 2*d + 7/2*d**2 + 9. Factor g(m).
-(m - 1)**4*(m + 2)
Let j be 4*4/(-14)*294/(-2184)*13. Factor 50/3*z + 5/6*z**4 - 70/3*z**j + 0 + 35/6*z**3.
5*z*(z - 2)*(z - 1)*(z + 10)/6
Suppose -15*r = -19*r + 72. Let p = r + 332. Let -18*t**3 - 78*t + 392*t**3 - 36 + 686*t**4 + 704*t**3 + p*t**2 = 0. What is t?
-1, -3/7, 2/7
Let o be -70*210/1960*(-2)/3. Factor 9/2*s**4 + 27/2*s**2 + 0 + 1/2*s**o + 27/2*s**3 + 0*s.
s**2*(s + 3)**3/2
Let q(t) be the second derivative of 4/7*t**2 - 1/147*t**7 - 5 - 5*t - 19/70*t**5 + 1/15*t**6 + 25/42*t**4 - 16/21*t**3. Factor q(u).
-2*(u - 2)**2*(u - 1)**3/7
Suppose 45*l = -0*l. Suppose -4*o - 17 = 2*v - 25, l = 2*o + 3*v - 12. Factor -5/2*n**3 + o + 5/2*n + 5/4*n**4 - 5/4*n**2.
5*n*(n - 2)*(n - 1)*(n + 1)/4
Suppose 8144 + 18*w**3 + 9*w**3 - 2*w**4 + 72*w + 5*w**4 - 102*w**2 - 8144 = 0. Calculate w.
-12, 0, 1, 2
Let f = -116 - -125. Let b(c) = -c**3 + 8*c**2 + 9*c + 2. Let j be b(f). Factor -2*a**2 + 3*a**2 + 25*a - 6*a**j.
-5*a*(a - 5)
Factor -73/2*l + 7/2*l**2 - 40.
(l + 1)*(7*l - 80)/2
Determine t so that 38*t - 6*t + 88*t**3 - 3268561*t**4 + 3268575*t**4 + 136*t**2 = 0.
-4, -2, -2/7, 0
Let i(l) be the first derivative of 2*l**3/3 - 9*l**2 - 140*l + 831. Factor i(m).
2*(m - 14)*(m + 5)
Suppose 2*i - 5*v - 24 = 0, 0*i = -5*i + 2*v + 18. Let d = 7421/11 + -29607/44. Let -1/2 + d*a - 1/4*a**4 + 5/4*a**3 - 9/4*a**i = 0. What is a?
1, 2
Factor 6*r - 10/3*r**2 + 2/9*r**3 - 26/9.
2*(r - 13)*(r - 1)**2/9
Let g = -373024 + 373024. Factor -10*m**2 + g - 44/7*m - 6/7*m**3.
-2*m*(m + 11)*(3*m + 2)/7
Let z(f) = -f**3 + 5*f**2 - 2*f - 5. Let j be z(4). Let a be (-5*6/5)/((-33)/22*6). Solve -4/3 - a*w**j - 1/3*w**4 + 4/3*w + w**2 = 0.
-2, 1
Suppose 78 = -8*s - 306. Let g be ((-4)/(-10))/((s/(-5))/8). Factor g*h**2 + 2/3 + h.
(h + 1)*(h + 2)/3
Let o be (-15)/12 + (-1)/(-4). Let r = o + 6. Determine h so that 6*h**4 - 6*h**4 + 4*h**r - 8*h**3 - 4*h**4 = 0.
-1, 0, 2
Let f(t) = -t**3 - 7*t**2 + t + 14. Let k be f(-8). Let r = 72 - k. Factor -22*v**r + 25*v - 21 + 2*v**2 + 11 + 5*v**3.
5*(v - 2)*(v - 1)**2
Let u(d) be the first derivative of 7*d**6/8 - 51*d**5/5 - 1341*d**4/16 + 92*d**3 + 105*d**2/2 + 1394. Find t, given that u(t) = 0.
-5, -2/7, 0, 1, 14
Let l(z) = 13*z**2 + 129*z - 3955. Let o(q) = -6*q**2 - 66*q + 1978. Let n(d) = -2*l(d) - 5*o(d). Factor n(w).
4*(w - 15)*(w + 33)
Let t be -29 - 28/((-924)/1023). Find n such that 3/7*n**3 - 12/7*n**t + 9/7*n + 0 = 0.
0, 1, 3
Determine z so that 2*z**4 - 46/3*z + 46/3*z**3 + 16/3 - 22/3*z**2 = 0.
-8, -1, 1/3, 1
Let c(u) = 14*u**3 - 1779*u**2 + 175*u - 6094. Let f be c(127). Determine j so that -361/3*j - 6859/9 - 1/9*j**3 - 19/3*j**f = 0.
-19
Let k = 2497/9 - 277. Let b = 16/45 + k. Factor 2/5*g - 2/5*g**2 + b.
-2*(g - 2)*(g + 1)/5
Let v(j) be the second derivative of j**6/6 - 164*j**5 + 3275*j**4/12 - 4005*j. Solve v(i) = 0 for i.
0, 1, 655
Suppose -1378*l + 1380*l + 66 = -5*o, -5*l - 2*o - 18 = 0. Suppose 5/2*z**3 - 11/2*z**4 + l*z**5 + 0 + 0*z + z**2 = 0. Calculate z.
-1/4, 0, 1, 2
Let l(t) be the first derivative of 3*t**3 - 9*t