-7 + (3 - -4)) - -9. Determine c so that 169/5*c**w + 36/5 - 156/5*c = 0.
6/13
Let b(t) be the first derivative of 4*t**3/3 + 124*t**2 - 1056*t - 880. Solve b(p) = 0.
-66, 4
Let b(a) be the first derivative of -113 + 100/9*a + 244/9*a**3 - 130/9*a**4 - 223/9*a**2 + 1/9*a**6 + 128/45*a**5. Solve b(p) = 0 for p.
-25, 2/3, 1
Let p be (-143)/(-182) - (-1)/(-2). Let o be 20/290 - 4500/(-2030). What is h in 30/7*h + 12/7*h**2 + o - p*h**3 = 0?
-1, 8
Let -284/7*r**2 - 556/7*r - 276/7 - 4/7*r**3 = 0. What is r?
-69, -1
Factor -16*a**3 - 572*a**2 + 523 - 113 - 828*a - 1076*a + 102.
-4*(a + 4)*(a + 32)*(4*a - 1)
Let h(d) be the first derivative of -20*d**6/21 - 78*d**5/35 + 103*d**4/14 + 78*d**3/7 - 11*d**2/7 - 12*d/7 - 976. Determine p so that h(p) = 0.
-3, -1, -1/5, 1/4, 2
Let y(s) be the third derivative of 1/840*s**5 - 5/168*s**4 + 1/630*s**6 + 0 + 13*s**2 + 0*s + 7*s**3. Let a(t) be the first derivative of y(t). Factor a(c).
(c - 1)*(4*c + 5)/7
Let l(d) be the third derivative of -d**5/30 - d**4/2 + 17*d**3/3 - 179*d**2. Let q be l(-8). What is t in 0 + 3/7*t + 3/7*t**q = 0?
-1, 0
Let l(s) = 17*s**3 + 167*s**2 + 335*s + 169. Let d(w) = 59*w**3 + 500*w**2 + 1005*w + 508. Let a(b) = 2*d(b) - 7*l(b). What is i in a(i) = 0?
-167, -1
Suppose 2093 + 1950*y**2 + 5*y**4 - 165*y**3 + 6454 - 7578*y - 1922*y + 6453 = 0. What is y?
3, 10
Factor -59 + 4*m - 7 + 3*m + 24*m + m**2.
(m - 2)*(m + 33)
Find x, given that 4380*x**2 + 47300680*x - 47300680*x - 13144*x**3 + 12*x**4 = 0.
0, 1/3, 1095
Let w(r) = -r**3 + 36*r**2 + 41*r - 127. Let k be w(37). Let b be 22/(-33) + 140/k. Let -13/2*p**3 + 0 - 1/2*p**5 - 2*p + b*p**2 + 3*p**4 = 0. Calculate p.
0, 1, 2
Let h(a) be the first derivative of -47045*a**3/18 + 485*a**2/6 - 5*a/6 - 1150. What is c in h(c) = 0?
1/97
Let z(u) be the first derivative of u**5/5 - 49*u**4/4 + 271*u**3 - 4811*u**2/2 + 4046*u - 12147. Factor z(n).
(n - 17)**2*(n - 14)*(n - 1)
Suppose -475 = 25*h + 175. Let n be -6*45/h*(-38)/(-57). Factor 4/13 - n*s**3 + 14/13*s - 24/13*s**2.
-2*(3*s + 1)**2*(5*s - 2)/13
Let b(m) be the first derivative of 9/4*m**2 - 6 + 1/24*m**4 + 18*m + 1/2*m**3. Let c(q) be the first derivative of b(q). Determine w, given that c(w) = 0.
-3
Solve -2/9*b**2 + 320/3 + 76/9*b = 0 for b.
-10, 48
Let w(y) be the first derivative of -5*y**4/2 - 125*y**3/3 - 40*y**2 + 2240*y + 4157. What is s in w(s) = 0?
-8, 7/2
Factor -1/11*b**3 + 19/11*b - 34/11 + 16/11*b**2.
-(b - 17)*(b - 1)*(b + 2)/11
Let n = 215898 - 215896. Determine b so that -20/7*b + 16/7 + 2/7*b**3 + 2/7*b**n = 0.
-4, 1, 2
Let c = -2185 - -1524. Let x = -305 - c. Solve f + x*f**2 + 11*f - 15 - 353*f**2 = 0 for f.
-5, 1
Solve -2152*i + 166 + 3008*i - 642 - 4*i**4 - 48*i**3 - 40*i**3 - 288*i**2 = 0.
-17, -7, 1
Let h(p) = 3*p**2 + 30*p + 192. Let m(k) = -10*k**2 - 88*k - 576. Let t(z) = 7*h(z) + 2*m(z). Let v be t(-7). Factor w - 1/2*w**2 - w**v + 0 + 1/2*w**4.
w*(w - 2)*(w - 1)*(w + 1)/2
Let b(s) = 16*s + 35. Let x be b(-2). Determine a so that -9 - 6 - 11 - 1 - x*a**2 + 3 + 27*a = 0.
1, 8
Determine y so that 13226 - 412*y**4 + 394*y + 13229 + 862*y**2 - 32*y**5 + 376*y**3 + 20*y**4 - 26403 = 0.
-13, -1/2, -1/4, 2
Let k(l) = -l**4 - 2*l**3 - l**2 + l + 1. Let w(y) = -2*y**4 + 19*y**3 + 43*y**2 + 3*y + 3. Let p(d) = -15*k(d) + 5*w(d). Factor p(n).
5*n**2*(n + 2)*(n + 23)
Let y(b) = -241*b**2 - 732*b - 24. Let w be y(-3). Suppose 0*t + 0 - 1/4*t**4 + 1/4*t**w + 3/2*t**2 = 0. What is t?
-2, 0, 3
Let q(x) be the second derivative of x**6/6 - 55*x**5/2 - 565*x**4/12 + 185*x**3 + 200*x. Factor q(u).
5*u*(u - 111)*(u - 1)*(u + 2)
Let w(r) = 759*r - 11220. Let y(f) = -49*f + 724. Let i(u) = 5*w(u) + 77*y(u). Let q be i(16). Let 0 + 0*l**2 + q*l - 3/4*l**4 - 3/4*l**3 = 0. What is l?
-1, 0
Let h(n) be the first derivative of -5*n**3/3 + 5*n**2 + 240*n - 1245. Factor h(j).
-5*(j - 8)*(j + 6)
Let k(l) be the first derivative of 1/4*l**3 + 86 - 1/8*l**2 - 3/4*l + 1/16*l**4. Factor k(q).
(q - 1)*(q + 1)*(q + 3)/4
Let p(l) be the second derivative of -15*l + 1 - 22/5*l**2 + 4/3*l**3 + 1/15*l**4. Factor p(y).
4*(y - 1)*(y + 11)/5
Suppose -2*r - 245 = -9*r. Let 2 + 11*m - 25 - r*m**2 - 37 - 48*m - 183*m = 0. What is m?
-6, -2/7
Let 44*r**3 + 19*r**3 - 3*r**5 - 343632*r**4 - 432 + 343656*r**4 - 708*r - 240*r**2 = 0. What is r?
-2, -1, 4, 9
Let p be 19 + (526/(-1315))/((-4)/(-178)). Factor 0 + 4/5*r**3 - 4/5*r - p*r**2.
2*r*(r - 2)*(2*r + 1)/5
Let v = -1138123/2 + 569062. What is z in 0*z**2 - 3/2*z + v*z**3 - 1 = 0?
-1, 2
Let r(h) = 3*h**2 + 27*h - 160. Let c(f) = -2*f**2 - f + 2. Let s(l) = -2*c(l) - r(l). Find p such that s(p) = 0.
12, 13
Let x(m) be the first derivative of 5*m**6/18 + 16*m**5/3 + 40*m**4 + 150*m**3 + 585*m**2/2 + 270*m + 701. Let x(s) = 0. Calculate s.
-6, -3, -1
Let d(t) = 112*t**3 - 4525*t**2 - 5881*t - 1321. Let u(p) = 77*p**3 - 3017*p**2 - 3920*p - 881. Let o(g) = 5*d(g) - 7*u(g). Suppose o(j) = 0. Calculate j.
-1, -2/7, 73
Determine p so that -72/5*p + 0 + 104/15*p**2 + 2/15*p**3 = 0.
-54, 0, 2
Let v = 28100/6097 + -1028/871. Suppose v*c + 4/7*c**3 + 0 + 4*c**2 = 0. What is c?
-6, -1, 0
Let g(p) = -3*p**3 + 11*p**2 - 2*p - 5. Let t be g(3). Let j be (-2)/(-3)*t/((-28)/(-12)). Find u such that -18 - 61/2*u**j + 7*u**3 - 1/2*u**4 + 42*u = 0.
1, 6
Factor 90/7*z**2 + 429/7*z - 1242/7 + 3/7*z**3.
3*(z - 2)*(z + 9)*(z + 23)/7
Let n(b) be the third derivative of 1 + 1/48*b**4 - 1/40*b**5 - 1/420*b**7 + 1/80*b**6 + 0*b**3 + 0*b - 20*b**2. Factor n(k).
-k*(k - 1)**3/2
Let z(l) = 53*l**2 - 130*l - 32. Let c(o) = 17*o**2 - 44*o - 10. Let v(a) = 8*c(a) - 3*z(a). Find r such that v(r) = 0.
-8/23, 2
Suppose 4*v + 0*a = a - 80, 0 = -5*v + 2*a - 100. Let p be v*(-2)/8 + 4 + -4. Factor -4/3*z**3 - 4/3 - 16/3*z**2 + 4/3*z**4 + 2/3*z**p - 14/3*z.
2*(z - 2)*(z + 1)**4/3
Let r(j) be the second derivative of -j**5/80 - 235*j**4/48 - 13447*j**3/24 + 42483*j**2/8 + 9263*j. Factor r(h).
-(h - 3)*(h + 119)**2/4
Let c(w) = w**3 - 10*w**2 - 88*w - 126. Let t be c(16). Factor 0*g + g**t - 1/2*g**3 + 0 - 1/2*g**4.
-g**2*(g - 1)*(g + 2)/2
Let n = -7564 - -7567. Let l(t) be the first derivative of 14 + 0*t - 2/15*t**5 + 0*t**2 + 5/36*t**6 + 0*t**n - 1/24*t**4. Find p such that l(p) = 0.
-1/5, 0, 1
Let c(b) be the first derivative of -1/5*b**2 + 1/5*b**4 + 4/5*b + 4/25*b**5 - 1/15*b**6 - 8/15*b**3 + 21. Find m, given that c(m) = 0.
-1, 1, 2
Let c(q) = 36*q**3 + 1091*q**2 + 51*q - 113. Let v(s) = -110*s**3 - 3274*s**2 - 152*s + 336. Let p(i) = -8*c(i) - 3*v(i). What is m in p(m) = 0?
-26, -1/3, 2/7
Suppose -7 = d + 2*f + 1, 4*d - 2*f + 2 = 0. Let l be d*270/(-21) + (-6)/(-21). Factor 23 + 4*c**5 + 8*c**4 - 23 + 6*c**3 - l*c**3 - 24*c**2.
4*c**2*(c - 2)*(c + 1)*(c + 3)
Suppose -3*f = -105 + 66. Let a(b) be the second derivative of -f*b - 2*b**3 + b**4 + 33/20*b**5 - 9/14*b**7 - 3/5*b**6 + 0 + 0*b**2. Factor a(u).
-3*u*(u + 1)**2*(3*u - 2)**2
Let k be (22/(-33))/((-4)/30). Suppose d = a - 2 - 4, 2*d = -k*a + 2. Factor 4 - 9 + 0 - 2*m**a + 7*m**2.
5*(m - 1)*(m + 1)
Let g(q) be the second derivative of 0 - 1/2*q**2 - 32*q + 7/24*q**4 + 5/12*q**3. Solve g(k) = 0 for k.
-1, 2/7
Let a(j) be the second derivative of 5*j**9/6048 - j**8/336 + j**7/336 - 30*j**3 + 173*j. Let s(z) be the second derivative of a(z). Solve s(d) = 0.
0, 1
Let d(p) be the second derivative of 37*p**4/42 - 13*p**3/7 + 2*p**2/7 - 4*p + 18. Determine u so that d(u) = 0.
2/37, 1
Let y(z) = -z**2 - 52*z - 61. Let h(c) = c**2 - 2*c + 2. Let f = -900 + 898. Let v(n) = f*y(n) - 4*h(n). Factor v(q).
-2*(q - 57)*(q + 1)
Let g(b) be the third derivative of b**8/672 - b**6/80 + b**5/60 - 67*b**2 - 2. Factor g(x).
x**2*(x - 1)**2*(x + 2)/2
Let r be -7 + 9 + (-20)/(-2). Factor r*q**2 + 0*q**3 + 3*q**3 - 7*q + 16*q.
3*q*(q + 1)*(q + 3)
Factor -1431*u + 4754*u + 1757580 + 265*u + 5*u**2 + 3002*u + 413825.
5*(u + 659)**2
Let c(l) be the second derivative of l**6/210 - 33*l**5/14 + 26557*l**4/84 + 18370*l**3/7 + 55778*l**2/7 - 4688*l. Solve c(d) = 0.
-2, 167
Let v be (-6)/(-10) - (-56)/(-35). Let h be (-2 - 1/v)*(-3 - -1). Find u, given that -u**h + 237*u + 16*u**2 + 5 - 252*u - 5*u**3 = 0.
1
Let d(r) be the first derivative of 88 + 0*r - 9/8*r**2 - 1/8*r**3. Factor d(a).
-3*a*(a + 6)/8
What is h in 8250*h**3 - 1635*h**2 - 520 - 4273*h**3 + 2