t w(p) = -6*s(p) - 5*y(p). Determine j so that w(j) = 0.
-17, -5, 2
Let b(t) be the first derivative of t**4/16 + 11*t**3/6 + 141*t**2/8 + 63*t + 3131. Solve b(z) = 0 for z.
-12, -7, -3
Let b = -10676 - -10678. Let v(l) be the second derivative of -2/9*l**3 + 31*l + 0*l**b - 1/60*l**5 + 0 - 5/36*l**4. What is z in v(z) = 0?
-4, -1, 0
Let t = -7739 + 7742. Let y(p) be the first derivative of 0*p**2 - 15/4*p**4 - 16 - 10/3*p**t + 0*p + 5/6*p**6 + 0*p**5. Factor y(q).
5*q**2*(q - 2)*(q + 1)**2
Let k(s) be the second derivative of -s**6/105 - s**5/2 - 100*s**4/21 + 2000*s**3/21 - s - 1478. Factor k(r).
-2*r*(r - 5)*(r + 20)**2/7
Let t(f) be the second derivative of f**5/10 + 6*f**4 + 35*f**3/3 + 4*f - 307. Suppose t(u) = 0. What is u?
-35, -1, 0
Let f(m) = 24*m**4 - m**3 - m**2 + 1. Let c(y) = 50*y**4 - 48*y**3 + 190*y**2 - 216*y + 2. Let a(k) = -c(k) + 2*f(k). Factor a(p).
-2*p*(p - 18)*(p - 3)*(p - 2)
Suppose 10*v + 32*v = 82*v + 19*v - 177. Solve -1/2*w + 1/4*w**2 - 3/8 + 1/2*w**v + 1/8*w**4 = 0.
-3, -1, 1
Suppose -24*b = 1678 + 3146. Let m be b/(-90) - (-24)/40. Let 17/3*l**3 + 14/3*l**2 + 4/3*l + 1/2*l**5 + 0 + m*l**4 = 0. Calculate l.
-2, -1, -2/3, 0
Let v(d) be the first derivative of -14*d**5/25 - 31*d**4/5 - 182*d**3/15 + 480. Let v(z) = 0. What is z?
-7, -13/7, 0
Let b be (6/9)/((-3)/(-306)). Let h be (6 - b/12)*0. Solve 1/4*p**4 + h - 1/4*p**2 + 1/4*p - 1/4*p**3 = 0 for p.
-1, 0, 1
Let r be (8/(-6))/(-9 + (-711)/(-81)). Factor -6*a**2 - 3/2*a**3 - r*a + 0.
-3*a*(a + 2)**2/2
Let w(u) be the first derivative of -4*u**3/21 + 58*u**2/7 - 120*u + 1626. Factor w(d).
-4*(d - 15)*(d - 14)/7
Let h be 1309/4080 + (-30)/160. Let -2/15*o**2 + 2/15*o**3 + 0 + h*o**4 - 2/15*o = 0. What is o?
-1, 0, 1
Let r be (-10)/(-9)*169/338. Let q(g) be the first derivative of 10 + r*g**3 - 5/3*g + 0*g**2. Let q(x) = 0. What is x?
-1, 1
Let w(h) = 2870*h + 2876. Let m be w(-1). Factor -45/4*u - u**3 + 25/4 + m*u**2.
-(u - 1)*(2*u - 5)**2/4
Let v = -371 - -373. Factor -19*f**5 - 77*f + 205*f**v - 95*f**3 + 20 - 90*f + 47*f - 45*f**4 + 54*f**5.
5*(f - 1)**3*(f + 2)*(7*f - 2)
Suppose 280/9 + 1/9*l**2 - 61/9*l = 0. What is l?
5, 56
Let g be (-33)/22*(-16)/6. Suppose g*c = 12 - 4. What is d in 11*d**3 + 7*d**3 + 17*d**2 - 6*d + 3*d**3 - c*d**2 = 0?
-1, 0, 2/7
Let r(q) be the second derivative of q**7/28 - 3*q**6/20 - 3*q**5/40 + 11*q**4/8 - 3*q**3 + 3*q**2 + 3*q - 2747. Factor r(f).
3*(f - 2)*(f - 1)**3*(f + 2)/2
Let t be 5617/(-1096)*(-250)/2. Let c = t + -640. Let c*r - 1/2*r**2 + 1/8*r**3 - 1/4 = 0. What is r?
1, 2
Suppose -2 = -5*c - 4*k - 9, -4*c + 28 = -k. Find g, given that 0 - 42/5*g**3 + 6/5*g**c + 12/5*g - 22/5*g**2 - 2/5*g**4 = 0.
-2, -1, 0, 1/3, 3
Let r be (2/(-6) - ((-39)/15)/13)*-6. Suppose -2*y - 5*a + 14 = 0, y + 5*a - 1 = 11. Find i such that 2/5*i**y + r*i + 2/5 = 0.
-1
Let -1/5*k**5 + 7/5*k**4 + 4/5*k - 3/5*k**3 + 12/5 - 19/5*k**2 = 0. Calculate k.
-1, 1, 2, 6
Let w(t) be the second derivative of 11 + 2*t - 1/110*t**5 - 1/11*t**4 - 4/11*t**2 - 3/11*t**3. Suppose w(i) = 0. What is i?
-4, -1
Let x(y) be the third derivative of 0 - 295/26*y**4 - 3361/390*y**5 - 75/13*y**3 + 118/195*y**6 - y - 19*y**2 - 16/1365*y**7. Suppose x(a) = 0. What is a?
-1/4, 15
Find t, given that 38/3*t + 73/6*t**4 + 157/2*t**2 - 35/2*t**5 + 187/2*t**3 - 2 = 0.
-1, -2/5, 2/21, 3
Suppose b = -5*y + 33, 2*b - 973*y - 12 = -974*y. Determine j, given that 40/3*j**b - 80/3 - 130/3*j + 5/3*j**4 - 5*j**2 = 0.
-8, -1, 2
Let d(p) = -2*p**4 + 20*p**3 - 51*p**2 + 23*p - 10. Let y = 379 - 380. Let v(i) = i**2 + i + 2. Let t(a) = y*d(a) - 5*v(a). Determine w, given that t(w) = 0.
0, 1, 2, 7
Suppose -16*f + 1064 = 12*f. Suppose 16*h = f - 6. Suppose -4 - 1/4*w**2 - h*w = 0. What is w?
-4
Let r(k) = k**3 + 13*k**2 + 12*k + 19. Let h be r(-12). What is u in h*u + u**4 + 6*u**2 - 10*u**2 - 3*u - 8*u**2 = 0?
-4, 0, 2
Let d(k) = 178*k**3 - 309*k**2 - 1252*k - 18. Let p(w) = -2859*w**3 + 4944*w**2 + 20031*w + 285. Let x(j) = -33*d(j) - 2*p(j). What is s in x(s) = 0?
-2, -1/52, 4
Let h(m) be the third derivative of m**8/252 + 8*m**7/105 + 11*m**6/18 + 8*m**5/3 + 62*m**4/9 + 32*m**3/3 - 5*m**2 + 13*m - 35. Let h(a) = 0. What is a?
-4, -3, -2, -1
Suppose -5*d = -4*d - 2. Suppose 0 = 19794*j - 19869*j + 225. Solve d*c**j + 0*c - 4*c**2 - 1/2*c**5 + c**4 + 0 = 0 for c.
-2, 0, 2
Let s(p) be the second derivative of -3/4*p**3 - 27/4*p**2 + 1/8*p**4 - 3*p + 1/40*p**5 - 38. Find i, given that s(i) = 0.
-3, 3
Suppose 20*c + 2*j + 104 = 24*c, -3*c + 64 = -5*j. Suppose 20*b**2 - 20*b - 32 + 5*b**3 - 20 - c = 0. Calculate b.
-4, -2, 2
Let q(p) be the first derivative of 7/3*p**2 + 38/27*p**3 - 20 + 4/9*p. Solve q(a) = 0 for a.
-1, -2/19
Let d(m) be the third derivative of m**7/945 + 32*m**6/45 + 18239*m**5/135 - 6176*m**4/9 + 37249*m**3/27 - m**2 - 82*m - 4. Factor d(r).
2*(r - 1)**2*(r + 193)**2/9
Suppose -1191*q + 563*q = -597*q - 93. Find l, given that 9 - 1/2*l**4 + 7/2*l**2 - 27/2*l + 3/2*l**q = 0.
-3, 1, 2, 3
Let p(w) = 6*w - 7. Let c be p(2). Suppose 0 = -g - 5*v - 2, 0 = -g + 4*v - c*v + 2. Factor 5*h**3 + 2*h**2 - 5*h**3 - 2*h**g + 4*h**2.
-2*h**2*(h - 3)
Let h(o) be the first derivative of 2*o**6/21 - 121*o**5/35 - 7*o**4/2 + 152*o**3/21 + 47*o**2/7 - 31*o/7 - 183. Solve h(t) = 0.
-1, 1/4, 1, 31
Suppose -7*c = -0*c - 11*c + 76, 3*l - 2*c = -32. Determine q so that 14/9*q**4 - 2/9*q**5 + 20/9*q - 2*q**3 - 14/9*q**l + 0 = 0.
-1, 0, 1, 2, 5
Determine z, given that -943*z + 1702 - 3*z**2 - 7*z**2 + 4218*z - 715 - 5877 = 0.
3/2, 326
Let k be -1 - (4 - (20 + -2)). Let q = k + -8. Let -q*i - 14*i + 8 - 33*i**2 - i + 41*i**2 = 0. What is i?
1/2, 2
Let o = -4194 - -4202. Let f(u) be the third derivative of -1/10*u**6 + 4/105*u**7 + 0*u - 16*u**2 + 0 + 2/3*u**4 + 0*u**3 + 1/84*u**o - 4/15*u**5. Factor f(k).
4*k*(k - 1)**2*(k + 2)**2
Find b such that 12/5*b**5 - 348/5*b + 237/5*b**2 - 141/5*b**4 + 336/5*b**3 - 96/5 = 0.
-1, -1/4, 1, 4, 8
Let q be 172/(-86)*((-9)/(-15) - (2 + (-8)/20)). Factor 20/7*l**q + 0 + 18/7*l + 2/7*l**3.
2*l*(l + 1)*(l + 9)/7
Let a be -2 + 60/16 + -1. Suppose 6 = -3*g + 3*n, -5*g - 91 + 131 = 5*n. Factor -3/4*m + 3/4*m**g + 3/4 - a*m**2.
3*(m - 1)**2*(m + 1)/4
Let j(f) be the first derivative of -24389*f**4/16 - 2523*f**3/2 - 783*f**2/2 - 54*f + 562. Solve j(c) = 0 for c.
-6/29
Let l(c) be the second derivative of -13*c**2 + 0 - 33*c + 1/24*c**6 + 5/3*c**3 - 5/24*c**4 - 1/6*c**5. Let p(d) be the first derivative of l(d). Factor p(w).
5*(w - 2)*(w - 1)*(w + 1)
Factor -1/2*q**4 + 405/2*q + 403/2*q**3 + 0 + 809/2*q**2.
-q*(q - 405)*(q + 1)**2/2
Let o(a) be the second derivative of -1/45*a**3 - 13*a + 0*a**2 + 1/90*a**4 - 3. Let o(n) = 0. What is n?
0, 1
Let p(a) be the first derivative of -1/48*a**6 + 5/32*a**4 - 192 - 1/4*a**2 + 0*a - 3/40*a**5 + 1/8*a**3. Find q, given that p(q) = 0.
-4, -1, 0, 1
Let m(f) be the second derivative of -f**6/105 + 23*f**5/35 + 16*f**4/7 - 543*f. Factor m(t).
-2*t**2*(t - 48)*(t + 2)/7
Let l(n) = -n**3 + 89*n**2 + 1067*n + 3583. Let p(h) = 5*h**3 - 357*h**2 - 4266*h - 14335. Let z(q) = -18*l(q) - 4*p(q). Find a, given that z(a) = 0.
-73, -7
Let a(v) be the first derivative of 0*v**4 + 0*v**2 - 1/9*v**3 + 0*v + 1/15*v**5 + 11. Factor a(i).
i**2*(i - 1)*(i + 1)/3
Let q(d) be the second derivative of -48/13*d**2 + 2 - 1/78*d**4 + 19/39*d**3 + 189*d. Factor q(r).
-2*(r - 16)*(r - 3)/13
Let m(g) be the first derivative of g**4/10 - 94*g**3/15 + 528*g**2/5 + 1152*g/5 + 1462. Determine a so that m(a) = 0.
-1, 24
Let j = -1041954 + 7293726/7. Factor j*i - 88/7 - 2/7*i**2.
-2*(i - 22)*(i - 2)/7
Suppose -647 + 206*t - 1143 - 27*t**2 + 30*t**2 - 1712*t + 281 = 0. Calculate t.
-1, 503
Let j(a) = 28*a**4 + 108*a**3 + 192*a**2 - 104*a - 1128. Let z(w) = w**4 + 2*w**3 - w**2 + w + 1. Let l(c) = -j(c) + 24*z(c). Solve l(q) = 0.
-9, -4, 2
Let -2*r**3 + r**3 - 8*r + 146*r**2 - 3 + 1 - 2 - 151*r**2 = 0. What is r?
-2, -1
Let f = 38758783 - 48564759785/1253. Let y = 21/179 - f. What is t in 0*t + 0 - 18/7*t**3 + y*t**2 + 3/7*t**4 = 0?
0, 3
Let x(f) be the second derivative of -5*f**7/14 - 19*f**6/70 + 57*f**5/70 + 4*f**4/7 - 938*f. What is s in x(s) = 0?
-8/7, -2/5, 0, 1
Let j be 0/((-6)/(-48)*-8). Suppose -r = 3*a - 8 - 10, -a = r - 8. Suppose 16/3*f**r + 0*f**2 - 16/3*f**