3 - 745*z**2 - 180*z + 26. Let p(x) = -10*f(x) - 5*w(x). Suppose p(u) = 0. What is u?
-12, -1/3, 2/21
Suppose 33*y + 45/2*y**2 + 27/4*y**3 + 18 + 3/4*y**4 = 0. Calculate y.
-3, -2
Let g be 1/(-2) + 1127/14. Suppose -79*c = -g*c. Determine f, given that c + 2/7*f**4 + 4/7*f - 4/7*f**3 - 2/7*f**2 = 0.
-1, 0, 1, 2
Suppose 1846*q - 5747 - 6271 + 2310 = -1390*q. Let -363/2 - 423/8*k**2 - 231*k - 27/8*k**q = 0. What is k?
-22/3, -1
Factor 488/7*v**2 + 20/7*v**3 - 820/7*v + 312/7.
4*(v - 1)*(v + 26)*(5*v - 3)/7
Find g such that 6*g - 341 - 2*g + 14*g - 273 + g**2 + 406 = 0.
-26, 8
Suppose 3*c = -0*c + 120. Let b = c + -37. Suppose -4 + 2*x**4 + 474*x**2 + 2*x - 468*x**2 - 2*x**b - 4*x**4 = 0. Calculate x.
-2, -1, 1
Let p(w) = -w**3 - 15*w**2 - 20*w + 1. Let y be p(-14). Let -162*j**3 + y*j**3 - 4*j**5 + 81*j**3 = 0. Calculate j.
-1, 0, 1
Let d(p) be the first derivative of 2/85*p**5 + 76 + 148/17*p**3 + 338/17*p + 14/17*p**4 + 364/17*p**2. Solve d(n) = 0.
-13, -1
Let -4/5*n**5 - 44/5*n**2 + 0 - 134/5*n**3 + 0*n - 94/5*n**4 = 0. Calculate n.
-22, -1, -1/2, 0
Let z(a) be the second derivative of 2*a**7/105 - 32*a**6/75 + 37*a**5/20 + 559*a**4/60 + 129*a**3/10 + 81*a**2/10 - 2444*a. Suppose z(k) = 0. Calculate k.
-1, -1/2, 9
Suppose 0 = -2*l + 4*f + 28, -4*f + 2*f = 10. Determine d so that -4*d**4 + 13*d**3 + 0*d**4 - d**3 + 15*d**4 - 3*d**l - 4*d**5 = 0.
-1, 0, 3
Let c(m) be the third derivative of m**5/72 - 25*m**4/12 - 55*m**3 + 308*m**2 + 2*m. Factor c(a).
5*(a - 66)*(a + 6)/6
Let s(h) be the second derivative of 0*h**2 - 1/50*h**5 + 1/15*h**3 + 5 + 0*h**4 + 6*h. Factor s(b).
-2*b*(b - 1)*(b + 1)/5
Let i(p) = p**2 + 24*p + 111. Let v be i(-20). Let o(u) = -u**3 + 32*u**2 - 35*u + 126. Let s be o(v). Factor -14/3 + 16/3*g - 2/3*g**s.
-2*(g - 7)*(g - 1)/3
Solve -8/7*p**2 + 168 - 772/7*p = 0.
-98, 3/2
Let i(m) be the second derivative of -m**7/35 - 53*m**6/75 - 9*m**5/2 - m**4/2 + 428*m**3/15 - 132*m**2/5 + 7485*m. What is t in i(t) = 0?
-11, -6, -2, 1/3, 1
Let j be -63 + (5 - -23) - -45. Let 5*s**2 - j - 5*s**3 + 35/3*s - 5/3*s**4 = 0. Calculate s.
-3, -2, 1
Let o(g) be the first derivative of 4*g + 1/6*g**6 - 6*g**2 - 3/5*g**5 - 1/4*g**4 + 95 + 11/3*g**3. Factor o(q).
(q - 2)*(q - 1)**3*(q + 2)
Let d(m) = 55*m**2 - 2*m**3 - 26*m - 28*m**2 - 26*m**2 + 3*m**3. Let o(a) = -2*a**2. Let u(w) = -d(w) + 5*o(w). Let u(r) = 0. What is r?
-13, 0, 2
Let c(r) be the first derivative of 676/5*r**2 + 1/10*r**4 + 104/15*r**3 + 113 + 0*r. Find n, given that c(n) = 0.
-26, 0
Let l = -586 - -589. Factor 18*y**3 + 24*y**l - 48 - 60*y**3 + 19*y**3 - 8*y + 5*y**2.
(y - 3)*(y + 4)**2
Let d be ((-7)/12)/(1088/(-24) - -43). Let 1/2 - 3/4*c + 3/4*c**3 - 1/4*c**4 - d*c**2 = 0. What is c?
-1, 1, 2
Let r(u) be the third derivative of 1/30*u**4 + 0*u - 7*u**2 - 1/75*u**5 + 0 + 4/15*u**3. Factor r(h).
-4*(h - 2)*(h + 1)/5
Factor -531/2 - 84*r + 3/2*r**2.
3*(r - 59)*(r + 3)/2
Factor -1886/17*k**2 - 2/17*k**4 - 942/17*k + 0 - 946/17*k**3.
-2*k*(k + 1)**2*(k + 471)/17
Let y(m) = -m - 19. Let g be y(-13). Let z be 7 + g/(5 - 2). Factor -p**z + 4*p**5 + 0*p**3 - 2*p**3 - p**5.
2*p**3*(p - 1)*(p + 1)
Find o, given that 22*o**2 + 23 - 91/2*o + 1/2*o**3 = 0.
-46, 1
What is h in 8*h + 15*h - 325*h**3 + 307*h**3 - 3*h**2 + 3*h**4 - 5*h = 0?
-1, 0, 1, 6
Let 14148/5*i**3 + 3/5*i**4 + 25020738/5*i**2 + 19666300068/5*i + 5796641945043/5 = 0. What is i?
-1179
Let z(p) = 3*p**2 + p + 1. Let j(h) = -5*h**2 + 568*h + 567. Let g(q) = -j(q) - 2*z(q). Solve g(f) = 0.
-569, -1
Let w(v) be the first derivative of 4*v**5/5 - 2*v**4 - 92*v**3/3 - 24*v**2 + 144*v - 3000. Determine y so that w(y) = 0.
-3, -2, 1, 6
Let u = -229 - -231. Let h be 5/u*(177/(-30) + 6). Suppose 1/4*d**3 + 1/2 - h*d - 3/4*d**2 + 1/4*d**4 = 0. What is d?
-2, -1, 1
Let f(l) be the first derivative of -l**5/5 + 3*l**4/2 + 79*l**3/3 + 78*l**2 - 2453. Factor f(k).
-k*(k - 13)*(k + 3)*(k + 4)
Let u be (-9)/15 - 19223/(-5). Suppose -c**2 + 27*c - u + 30*c + 23*c + 44*c = 0. Calculate c.
62
Let d = 22434 - 67301/3. Let c(a) be the second derivative of 0 - d*a**3 - 2*a**2 + 1/6*a**4 - 35*a. Factor c(p).
2*(p - 2)*(p + 1)
Let f(y) be the second derivative of 5*y**4/12 + 10*y**3/3 + 15*y**2/2 + 42*y. Factor f(q).
5*(q + 1)*(q + 3)
Let n(a) be the first derivative of -19/2*a**2 - 1/6*a**3 - 361/2*a - 296. Factor n(x).
-(x + 19)**2/2
Suppose -3*w + n = -4330, -4*w + 2599 + 3169 = 4*n. Let q = -5771/4 + w. Factor q*y + 0 - 1/2*y**2 + 1/4*y**3.
y*(y - 1)**2/4
Factor 0 - 8*u**3 + 128/3*u - 64/3*u**2 + 2/3*u**5 + 8/3*u**4.
2*u*(u - 2)**2*(u + 4)**2/3
Let -1986*t**2 - 1160470112 - 2629464*t - 1/2*t**3 = 0. Calculate t.
-1324
Let o(s) be the third derivative of s**7/175 + 17*s**6/75 + 373*s**5/150 + 34*s**4/5 - 12*s**3 - 814*s**2 + 5*s. Determine y so that o(y) = 0.
-15, -6, -2, 1/3
Let g(l) = 19*l**4 - 96*l**2 - 117*l - 22. Let d(v) = -10*v**4 + 48*v**2 + 58*v + 12. Let y(x) = 11*d(x) + 6*g(x). Let y(w) = 0. What is w?
-2, 0, 4
Determine g so that -318 + 1692*g + 615 + 189*g**3 + 930*g**2 + 544 - 3*g**5 + 239 = 0.
-3, -2, 10
What is k in 236*k + 662*k**2 - 28119*k**3 - 112*k + 140*k + 136*k**4 + 28652*k**3 + k**5 = 0?
-132, -2, -1, 0
Let n = 5824/33 - 350/11. Let b = -140 + n. Determine t so that 18*t**4 + 0*t + 0 - 16*t**3 - b*t**5 - 8/3*t**2 = 0.
-1/7, 0, 2
Let p(g) be the second derivative of g**7/189 - 32*g**6/45 + 1103*g**5/45 + 784*g**4/9 + 2401*g**3/27 - 1154*g. What is x in p(x) = 0?
-1, 0, 49
Let q = 71 - 63. Suppose q*z + 15 = 9*z. What is v in -v**3 + 2*v**2 - v**4 - z*v - v**2 + 16*v = 0?
-1, 0, 1
Let v(r) = -67*r + 163. Let u be v(-2). Let k be 6/7*231/u. Factor -k - 4/3*h - 2/3*h**2.
-2*(h + 1)**2/3
Let m be (-4)/5 - (-7434)/105. Let s be ((-250)/m - -7) + -3. Find q, given that 6/7 - s*q**2 - 3/7*q = 0.
-2, 1
Let 2784 + 64*h**2 + 9914 + h**3 - 3482 + 1344*h = 0. Calculate h.
-24, -16
Let d = 268 + -265. Suppose 5*u - 26 = -d*b - 9, -3*b - 11 = -2*u. Let 1/4 + 3/4*f**5 - 1/2*f**3 + 5/4*f**u - 3/2*f**2 - 1/4*f = 0. What is f?
-1, 1/3, 1
Let b(m) = 83*m**4 - 77*m**3 - 199*m**2 + 973*m - 1114. Let f(t) = 29*t**4 - 26*t**3 - 67*t**2 + 324*t - 372. Let z(l) = -6*b(l) + 17*f(l). Factor z(d).
-5*(d - 3)**2*(d - 2)*(d + 4)
Let o(u) = u**2 - 11*u - 28. Let r be o(14). Factor 144 - r - 2*k**2 - 55*k - 3*k**2.
-5*(k - 2)*(k + 13)
Let l(u) be the third derivative of -146*u**2 + 0*u**3 + 1/84*u**8 + 0*u - 2/15*u**7 + 2 + 1/2*u**6 - 13/15*u**5 + 2/3*u**4. Factor l(n).
4*n*(n - 4)*(n - 1)**3
Let o(k) be the second derivative of k**6/15 + 153*k**5/10 + 25*k**4 - 304*k**3/3 - k - 596. Factor o(q).
2*q*(q - 1)*(q + 2)*(q + 152)
Let x(v) be the second derivative of 39*v**5/20 - 17*v**4/12 - 5*v**3/3 + 21*v - 5. Factor x(q).
q*(3*q + 1)*(13*q - 10)
Let s(i) be the third derivative of -i**7/5880 + 11*i**6/1260 - 59*i**3/6 + 44*i**2 + 2. Let c(d) be the first derivative of s(d). Factor c(w).
-w**2*(w - 22)/7
Let p(q) = -2*q**3 - 13*q**2 - 7*q + 4. Let f(l) = 2*l + 4. Let z be f(-5). Let u be p(z). Suppose -18*k + 3*k + 0*k**2 + 2 + u + 3*k**2 = 0. Calculate k.
1, 4
Factor 29/8*p**3 - 65/8*p**4 - 3/8*p**2 - 25/8*p**5 + 0 + 0*p.
-p**2*(p + 3)*(5*p - 1)**2/8
Let t(j) = -242*j + 17. Let h be t(-5). Let l**5 + 6*l**4 - 1227 + h = 0. Calculate l.
-6, 0
Let k(q) = -10*q**2 - 288*q - 222. Let t be k(-28). Factor 7/2*f + 13/4 + 1/4*f**t.
(f + 1)*(f + 13)/4
Let k(r) = 16*r + 35. Let l be k(-2). Let a be l*1 - -11*(-6)/24. Factor 15/4*i + a*i**3 - 9/4*i**2 - 7/4.
(i - 7)*(i - 1)**2/4
Let t(c) be the first derivative of -5/4*c**4 - 5*c**2 + 0*c - 30 - 5*c**3. Solve t(b) = 0.
-2, -1, 0
What is z in -5/6*z**4 - 3*z**2 + 53/6*z**3 - 20/3 - 58/3*z = 0?
-1, -2/5, 2, 10
Let w(y) be the third derivative of y**5/40 - 187*y**4/2 + 139876*y**3 - 900*y**2. Determine t, given that w(t) = 0.
748
Let w(t) be the third derivative of -5*t**8/1344 + t**7/28 - 11*t**6/96 + t**5/8 - 1716*t**2. Suppose w(l) = 0. What is l?
0, 1, 2, 3
Let d(w) = -5*w**5 - 60*w**4 - 270*w**3 - 285*w**2 + 5*w - 5. Let a(c) = -2*c**5 - 2*c**4 - 2*c**3 - c**2 + c - 1. Let h(b) = 5*a(b) - d(b). Factor h(q).
-5*q**2*(q - 14)*(q + 2)**2
Let a(r) be the second derivative of 81*r**5/20 + 1161*r**4/2 + 33282*r**3 + 954084*r**2 - 3116*r. Factor a(o).
3*(3*o + 86)**3
Let x(o) be the first derivative of -o**4 - 