*r(q) - v(q). Solve g(a) = 0.
2/3, 1, 23
Solve -2750 + 113*f**2 - 5*f**3 + 429*f**2 - 2175*f + 28*f**2 = 0.
-1, 5, 110
Let n(t) = t**3 + 14*t**2 - 293*t - 3586. Let b be n(-11). Suppose 8/9*c**3 + b + 2/9*c**4 + 10/9*c**2 + 4/9*c = 0. What is c?
-2, -1, 0
Let c(l) be the first derivative of -l**5/20 + l**4 - 9*l**3/4 - 2*l**2 + 7*l + 2638. Find r, given that c(r) = 0.
-1, 1, 2, 14
Let u(x) be the second derivative of 2*x**7/147 - 26*x**6/35 - 81*x**5/35 - 41*x**4/21 + 1179*x. Let u(p) = 0. Calculate p.
-1, 0, 41
Let c(v) be the second derivative of v**7/126 + v**6/15 - 7*v**5/60 - 8*v**4/3 - 8*v**3 + 2*v - 114. Let c(f) = 0. What is f?
-4, -3, 0, 4
Let f = -1753/112 - -255/16. Let h(r) be the second derivative of 0 + 1/14*r**3 + f*r**2 - 1/84*r**4 + 3*r. Factor h(t).
-(t - 4)*(t + 1)/7
Factor 4/3*n**3 - 4/3*n + 8 - 8*n**2.
4*(n - 6)*(n - 1)*(n + 1)/3
Factor 111/2*a**2 + 136*a - 8*a**3 + 289/4 + 1/4*a**4.
(a - 17)**2*(a + 1)**2/4
Let k(y) = 6*y**4 + 9*y**3 - 6*y**2 + 5*y. Let d(p) = p**4 + p**3 - p**2 + p. Let a = -142 + 177. Let j(n) = a*d(n) - 5*k(n). What is o in j(o) = 0?
-1, 0, 1, 2
Let c(h) be the first derivative of -h**6/30 + 38*h**5/15 - 37*h**4/6 - 3*h**2/2 + 32*h - 22. Let y(k) be the second derivative of c(k). Factor y(u).
-4*u*(u - 37)*(u - 1)
Let l(o) be the third derivative of -o**4/24 + 95*o**2. Let k(r) = 4*r**2 + 242*r + 3844. Let d(x) = k(x) - 6*l(x). Let d(h) = 0. What is h?
-31
Factor 16 + 1/9*k**2 + 25/9*k.
(k + 9)*(k + 16)/9
Let g(c) be the third derivative of 1/147*c**8 + 1/70*c**6 - 2/21*c**4 + 0*c + 0*c**3 + 0 + 16/105*c**5 - 26/735*c**7 + 12*c**2. Suppose g(t) = 0. Calculate t.
-1, 0, 1/4, 2
Suppose -5*v + 4*p = -10, -4*p = 5*v - 0*v - 50. Suppose g + 2*o - 12 = 0, v*g - 3*g - 21 = -3*o. Suppose -g*j - 1/2*j**2 + 0 = 0. Calculate j.
-4, 0
Factor 6241/2 - 6557/2*u + 160*u**2 - 2*u**3.
-(u - 1)*(2*u - 79)**2/2
Factor 0*n + 0 - 44/7*n**3 - 4/7*n**4 + 0*n**2.
-4*n**3*(n + 11)/7
Suppose -280 + 556*h - 272*h**2 + 5548*h**3 - 11102*h**3 + 5550*h**3 = 0. What is h?
-70, 1
Let i(c) be the second derivative of 5/54*c**4 - c - 1/90*c**5 + 0*c**2 - 4/27*c**3 + 6. Find x, given that i(x) = 0.
0, 1, 4
Suppose -3*s - 4*p = -12 - 16, -4 = 2*p. Let u be (s/(-3))/(-4)*2*21. Factor -16*r + 46 - 16*r - u + 64*r**2.
4*(4*r - 1)**2
Let 1849/3*v + 88/3*v**4 + 674*v**3 + 0 + 1/3*v**5 + 3784/3*v**2 = 0. What is v?
-43, -1, 0
Factor -3/7*k**4 - 75/7 + 120/7*k - 18/7*k**2 - 24/7*k**3.
-3*(k - 1)**2*(k + 5)**2/7
Factor -97*y**2 - 48*y + 229*y**2 - 129*y**2 - 48 + 3*y**3.
3*(y - 4)*(y + 1)*(y + 4)
Let l(j) be the second derivative of -j**8/112 - 3*j**7/280 + j**6/60 - j**3/6 + j**2 + 23*j. Let z(g) be the second derivative of l(g). Factor z(b).
-3*b**2*(b + 1)*(5*b - 2)
Suppose 1084*n + 326*n - 362 - 2458 = 0. What is g in 159/5*g + 3/5*g**n + 156/5 = 0?
-52, -1
Let b = -353 + 353. Let q be 3/(-5) - (-10)/((-50)/(-9)). Factor -12/5*s + q*s**4 - 6/5*s**2 + b + 12/5*s**3.
6*s*(s - 1)*(s + 1)*(s + 2)/5
Let z(q) = 2*q**2 + 137*q - 335. Let t be z(-71). Suppose -4*f - 1/5*f**2 - t = 0. Calculate f.
-10
Let o be (2/(-9))/(19/(-342)). Let t = -423 + 2539/6. Factor 1/3*w**3 + 0*w**2 - 1/3*w - t + 1/6*w**o.
(w - 1)*(w + 1)**3/6
Let l(d) be the second derivative of -490/3*d**3 - 227/4*d**5 + 55/6*d**6 + 110*d**2 + 5/14*d**7 - 303*d + 0 + 535/4*d**4. What is i in l(i) = 0?
-22, 2/3, 1
Let p(j) = 31*j + 248. Let d(i) = -91*i - 99. Let b be d(-1). Let l be p(b). Let l*h - 1/6*h**2 + 0 = 0. What is h?
0
Let x(r) be the first derivative of 0*r - 3/14*r**2 - 9/14*r**4 - 1/14*r**6 - 4/7*r**3 - 12/35*r**5 - 70. Find h such that x(h) = 0.
-1, 0
Suppose 7*o - 15 = -1. Factor -903 + 867 + 15*y + 3*y**3 + 18*y**2 + 2*y**o - 2*y**2.
3*(y - 1)*(y + 3)*(y + 4)
Let r(m) be the third derivative of -m**7/42 + 11*m**6/12 + 17*m**5/4 - 15*m**4 + 3470*m**2. Find k, given that r(k) = 0.
-3, 0, 1, 24
Let p(w) be the second derivative of 0 - 17/36*w**3 - 222*w - 19/6*w**2 + 1/72*w**4. Find x, given that p(x) = 0.
-2, 19
Factor 195*l + 57*l**3 + 6 - 233*l**2 + 44*l**2 - 31 - 41 + 3*l**4.
3*(l - 1)**3*(l + 22)
Let z be -2 - (-10)/(-4)*-2. Let g = 498620 + -498618. Suppose 0*d - 2/15*d**4 + 4/15*d**g + 0*d**z - 2/15 = 0. What is d?
-1, 1
Factor -16*h + 98 + 2/7*h**2.
2*(h - 49)*(h - 7)/7
Let s = -832499/5 + 166500. Find m such that s*m**2 - m + 0 = 0.
0, 5
Let m(c) be the third derivative of -c**6/900 - 6*c**5/25 - 52*c**4/3 - 10816*c**3/45 - 130*c**2 - 8*c. Factor m(x).
-2*(x + 4)*(x + 52)**2/15
Factor -3/5*m**5 - 24/5*m + 3*m**3 - 12/5 + 3/5*m**4 - 3/5*m**2.
-3*(m - 2)**2*(m + 1)**3/5
Suppose l = 4*t - 17, -5*t - 3*l - 8 = -25. Suppose t - 26 = -2*h. Find f, given that -5*f**3 - f**2 - 5*f + h*f**2 - 20*f**2 = 0.
-1, 0
Let r(j) be the third derivative of 1/40*j**5 + j**2 + 1/4*j**3 - 1/8*j**4 + 0 + 0*j. Factor r(v).
3*(v - 1)**2/2
Let a(h) be the first derivative of 3*h**5/5 - 76*h**4/3 - 266*h**3/3 - 108*h**2 - 174*h - 211. Let r(t) be the first derivative of a(t). Factor r(p).
4*(p - 27)*(p + 1)*(3*p + 2)
Let c(a) be the second derivative of a**7/168 - 7*a**6/120 - 17*a**5/80 - 3*a**4/16 - 550*a. Suppose c(s) = 0. What is s?
-1, 0, 9
Let a(h) be the third derivative of h**8/672 + h**7/24 - 27*h**6/80 - 79*h**5/60 - h**4/6 + 35*h**3/8 - 2*h**2 + 1448. Solve a(w) = 0.
-21, -1, 1/2, 5
Let o(p) be the third derivative of p**7/490 - 16*p**6/35 + 1983*p**5/70 + 1040*p**4/7 + 4225*p**3/14 - 885*p**2 - 2*p. Factor o(n).
3*(n - 65)**2*(n + 1)**2/7
Suppose -840 = -l - 4*b, -5*b + 9*b = -2*l + 1696. Let -2222 + l - 1433 - 340*n - 2503 - 5*n**2 - 478 = 0. What is n?
-34
Let m(q) be the first derivative of q**6/600 + 9*q**5/100 + 81*q**4/40 + 5*q**3 + q - 120. Let h(j) be the third derivative of m(j). Factor h(t).
3*(t + 9)**2/5
Let j(z) be the first derivative of 5*z**4/4 + 1040*z**3/3 - 2095*z**2/2 + 1050*z + 1210. Solve j(i) = 0.
-210, 1
Let h(t) be the third derivative of -t**7/350 + 9*t**6/100 - 3*t**5/5 + 7*t**4/5 - 71*t**2. Suppose h(r) = 0. What is r?
0, 2, 14
Let b(z) be the first derivative of 4/3*z - 1/9*z**3 - 14 + 0*z**2. Suppose b(u) = 0. Calculate u.
-2, 2
Suppose -2893*g + 2219*g**2 - 423*g**3 + 14*g**4 + 3043*g**2 + 1944 - 101*g**3 + 343*g - 4146*g = 0. Calculate g.
3/7, 1, 18
Let t(m) be the third derivative of m**7/490 + 139*m**6/280 - 106*m**5/35 + 71*m**4/14 + 632*m**2 - 2*m. Find f, given that t(f) = 0.
-142, 0, 1, 2
Let a(c) = 32*c**2 + 40*c - 12. Let h(n) be the first derivative of -n**2/2 + 26. Let f(g) = -a(g) - 20*h(g). Solve f(s) = 0.
-1, 3/8
Let j = -2/13541 + 13961/2843610. Let s(o) be the third derivative of 0*o - j*o**7 + 1/20*o**6 + 25*o**2 - 13/60*o**5 - 2/3*o**3 + 0 + 1/2*o**4. Factor s(p).
-(p - 2)**2*(p - 1)**2
Let f(y) be the third derivative of -y**8/1512 + 341*y**7/189 - 144839*y**6/108 - 436565*y**5/54 - 546560*y**4/27 - 729316*y**3/27 + 148*y**2 - 1. Factor f(m).
-2*(m - 854)**2*(m + 1)**3/9
Let g(p) be the third derivative of p**5/510 - 3*p**4/34 + 77*p**3/51 - 4427*p**2. Factor g(z).
2*(z - 11)*(z - 7)/17
Let f(h) be the second derivative of 2*h**6/5 + 179*h**5 - 1793*h**4/9 + 598*h**3/9 + 3576*h. Factor f(c).
4*c*(c + 299)*(3*c - 1)**2/3
Let x(w) be the first derivative of w**6/120 + w**5/30 + w**4/24 - 45*w**2 + 109. Let a(g) be the second derivative of x(g). Find l such that a(l) = 0.
-1, 0
Solve 44*m**4 + 18/5*m**5 + 256/5 + 1536/5*m + 1936/5*m**2 + 984/5*m**3 = 0 for m.
-4, -2, -2/9
Let o(q) be the second derivative of -q**4/48 - 3*q**3/2 - 17*q**2/2 + q - 436. Factor o(z).
-(z + 2)*(z + 34)/4
Let n(q) be the first derivative of -q - 1. Let b(t) = t**3 + 5*t**2 - t - 4. Let w(j) = j**2. Let f(u) = b(u) - 6*w(u). Let h(c) = f(c) - 5*n(c). Factor h(y).
(y - 1)**2*(y + 1)
Suppose 0 = 3*p + 2*p - 120. Let s(q) = 4*q**2 + 42*q + 102. Let c be s(-3). Find j, given that 3/2*j**4 - 12*j**2 - 3/2*j**5 + p + c*j**3 - 24*j = 0.
-2, 1, 2
Let j(b) be the second derivative of -2 - 3/40*b**5 - 1/4*b**4 + 11/120*b**6 + 6*b + 0*b**2 - 1/56*b**7 + 1/3*b**3. Determine t so that j(t) = 0.
-1, 0, 2/3, 2
Let p(y) be the first derivative of -8*y**2 - 324/5*y**5 - 160/3*y**3 + 0*y - 117*y**4 - 6. Factor p(i).
-4*i*(i + 1)*(9*i + 2)**2
Let v(z) be the second derivative of z**5/70 + 55*z**4/14 + 2125*z**3/7 - 36125*z**2/7 - 24*z - 3. Factor v(f).
2*(f - 5)*(f + 85