pose v - 47 - 31 = 0. Suppose f - v = -12*f. What is w in f - 15*w - 24 - 12*w**2 + 12 - 3*w**3 = 0?
-2, -1
Let v(c) be the third derivative of -3/4*c**5 + 13/24*c**6 + 17/42*c**7 - 15/8*c**4 + 5/84*c**8 + 0 + 0*c**3 - 41*c**2 + 0*c. Suppose v(t) = 0. What is t?
-3, -1, 0, 3/4
Let n(r) = -3*r**5 + 6*r**3 - 5*r - 2. Let i be ((-14)/7)/((-2)/(-4)) + 2. Let b(x) = x**5 - x**3 - x**2 + x + 2. Let h(m) = i*b(m) - n(m). Factor h(k).
(k - 1)**3*(k + 1)*(k + 2)
Determine t, given that 626/11*t**2 - 156/11*t**3 - 10/11 + 772/11*t = 0.
-1, 1/78, 5
Let z(m) = m**2 + 11*m - 4. Let g(f) = -4*f**2 - 46*f + 17. Let r(w) = -2*g(w) - 9*z(w). Let b be r(-7). Factor -2/19 - 2/19*u**b + 4/19*u.
-2*(u - 1)**2/19
Let j = -5/328 - -15503/328. Let t = -2071/44 + j. Suppose -8/11*z**2 + t*z**3 + 0 + 0*z = 0. Calculate z.
0, 4
Let a(m) = 27*m**4 - 69*m**3 - 1190*m**2 - 4508*m - 5. Let g(l) = 248*l**4 - 622*l**3 - 10710*l**2 - 40572*l - 46. Let q(z) = 46*a(z) - 5*g(z). Factor q(w).
2*w*(w - 46)*(w + 7)**2
Let m be -16 - 14*(-110)/77. Solve -1/2*u**m + 0 - 1/2*u**3 + 2*u**2 + 2*u = 0 for u.
-2, -1, 0, 2
Let b be 15639/(-117) - (2 - 1). Let r = b + 1619/12. Find z, given that r*z**2 + 0*z + 0 = 0.
0
Let i be (-98 + 144 + -40)*(88/26 + -3). Factor 8/13*m**2 + i*m - 8/13*m**3 - 36/13.
-2*(m + 2)*(2*m - 3)**2/13
Factor 84 + 39*t - 3/2*t**2.
-3*(t - 28)*(t + 2)/2
Let w(h) be the first derivative of h**6/3 - 32*h**5/5 - 5*h**4 + 320*h**3/3 + 9*h**2 - 288*h - 11824. Suppose w(x) = 0. Calculate x.
-3, -1, 1, 3, 16
Suppose -2340*d + 2427*d**2 - 1240*d**2 + 1669*d**2 + 527 - 95 + 867*d**3 = 0. What is d?
-4, 6/17
Let w(z) = 7*z - 77. Let j be w(11). Let d(x) be the first derivative of 0*x**3 + 0*x**2 + 5/2*x**4 - x**5 + j*x + 6 - 5/6*x**6. What is k in d(k) = 0?
-2, 0, 1
Let f(o) be the second derivative of -4 + 32/9*o**2 - 4*o - 7/27*o**4 - 16/27*o**3 - 1/45*o**5. Solve f(u) = 0 for u.
-4, 1
Let u = 44612/39 - 14576/13. Factor -u - 2/3*y**2 - 70/3*y.
-2*(y + 1)*(y + 34)/3
Let g(t) be the second derivative of 35937*t**7/14 - 3267*t**6/5 + 297*t**5/5 - 2*t**4 - 1986*t. Solve g(o) = 0.
0, 2/33
Let i(u) be the third derivative of -u**5/12 - 315*u**4/8 + 955*u**3/3 - 6*u**2 + 28. Factor i(n).
-5*(n - 2)*(n + 191)
Let h(u) be the second derivative of -7*u**6/30 - 2*u**5 - 11*u**4/3 + 8*u**3/3 - 513*u. Find a such that h(a) = 0.
-4, -2, 0, 2/7
Let q = 6373351/5 + -1274661. Determine h so that 6 + 18/5*h**2 - q*h - 2/5*h**3 = 0.
1, 3, 5
Factor 8/3*f - 2/9*f**2 - 40/9.
-2*(f - 10)*(f - 2)/9
Let c(y) be the third derivative of y**6/420 - 13*y**5/210 - 11*y**4/28 + 15*y**3/7 - 111*y**2. What is h in c(h) = 0?
-3, 1, 15
Let a(n) be the second derivative of n**6/240 + 17*n**5/20 + 1541*n**4/32 - 17*n**3/6 - 289*n**2 - 1578*n. Determine k so that a(k) = 0.
-68, -1, 1
Let l(f) be the first derivative of -2*f**3/21 + 968*f**2/7 - 468512*f/7 + 896. Factor l(x).
-2*(x - 484)**2/7
Let z = 1516 - 1514. Let p = -117 + 165. Factor d + 47*d**4 + 2*d**3 - z*d**3 + d**2 - d**3 - p*d**4.
-d*(d - 1)*(d + 1)**2
Let t(w) be the third derivative of 32*w**7/945 + 188*w**6/45 + 187*w**5/45 + 35*w**4/27 - 11*w**2 + 242*w. Suppose t(c) = 0. What is c?
-70, -1/4, 0
Let a = -47995 - -47997. Factor 0*s + 1/5*s**a - 1/5.
(s - 1)*(s + 1)/5
What is l in 4*l**4 + 317*l - 555*l - 588*l**2 - 1310*l + 4968 + 0*l**4 + 172*l**3 = 0?
-46, -3, 3
Suppose r - 2*b + 141 = -7*b, 0 = -b. Let g = r - -424/3. Let -1/3*t**3 + g*t + 2/3*t**2 - 2/3 = 0. What is t?
-1, 1, 2
Let u = 596 - 915. Let y = u - -2555/8. Find g such that -3/4*g + y*g**4 - 9/8*g**3 + 0 + 3/8*g**5 - 15/8*g**2 = 0.
-1, 0, 2
Suppose 344 - 560*c**2 + 254*c + 2*c**5 - 178*c**3 + 170*c**4 - 78*c + 46*c**2 = 0. What is c?
-86, -1, 1, 2
Suppose -1742*k = -2266*k + 1572. Factor -6 - 63*r**2 - 27/2*r**k - 75/2*r.
-3*(r + 4)*(3*r + 1)**2/2
Let b(n) be the first derivative of 2/15*n**3 + 26 + 288/5*n - 24/5*n**2. Determine h, given that b(h) = 0.
12
Factor 772*p**3 - 387*p**3 - 387*p**3 - 102*p + 104*p**2.
-2*p*(p - 51)*(p - 1)
Let h(y) be the second derivative of 7*y**4/3 - 68*y**3/3 + 80*y**2 - 8503*y. Factor h(o).
4*(o - 2)*(7*o - 20)
Let c(t) be the second derivative of -t**6/20 + 9*t**5/4 + 65*t**4/8 - 15*t**3/2 - 48*t**2 - 4*t - 165. Solve c(s) = 0 for s.
-2, -1, 1, 32
Let 2605869/4*f - 3/4*f**5 + 5589/4*f**4 - 1302933/2*f**3 + 1297347/2*f**2 - 2600283/4 = 0. Calculate f.
-1, 1, 931
Let f(v) = -4*v + 86. Let l be f(21). Suppose -3*k = -m - 4*k + 6, 5*k - 18 = -m. What is n in -13*n**l + 24*n + 3*n**m - 1/4*n**4 - 16 = 0?
2, 4
Solve -777*q**3 + 2*q + 0*q**5 + 164*q + 984*q**2 - 562*q + 186*q**4 + 3*q**5 = 0.
-66, 0, 1, 2
Let j = -677 - -710. Suppose 68 = 4*w - z, -5*w - z + j = -61. Factor -4*i + 2/9*i**2 + w.
2*(i - 9)**2/9
Let y be -16*(-6)/(-12)*(-3)/(-6). Let t(b) = -262*b - 64. Let l(p) = -2*p**2 + p. Let q(i) = y*l(i) - t(i). Factor q(a).
2*(a + 32)*(4*a + 1)
Let c(u) be the third derivative of u**6/360 - 7*u**4/8 - 9*u**3 + 262*u**2 + 2*u. Factor c(l).
(l - 9)*(l + 3)*(l + 6)/3
Let s(v) be the second derivative of 8 + 3*v - 64/9*v**3 - 1/5*v**5 - 8/3*v**4 + 1/42*v**7 + 11/90*v**6 - 8*v**2. Factor s(u).
(u - 3)*(u + 2)**3*(3*u + 2)/3
Let w(m) be the third derivative of 4*m**7/245 - 237*m**6/140 + 519*m**5/70 - 49*m**4/4 + 57*m**3/7 + 4*m**2 - 26*m + 1. Let w(f) = 0. What is f?
1/4, 1, 57
Let b be (-72)/(-6) - (-25 + 33). Let p(l) be the second derivative of 1/4*l**b + 15/2*l**2 + 3*l**3 + 10*l + 0. What is j in p(j) = 0?
-5, -1
Let d(o) be the second derivative of o**7/63 - o**6/5 + 11*o**5/30 + 25*o**4/18 - 8*o**3/3 - 28*o**2/3 - o - 1191. Determine m so that d(m) = 0.
-1, 2, 7
Let x be ((-24)/(-78))/((-1944)/(-4212)). Determine r so that x*r + 0 + 7/3*r**2 = 0.
-2/7, 0
Let d(m) be the third derivative of -m**8/35280 - 13*m**7/8820 + 59*m**5/30 + 15*m**2 - 5*m. Let g(f) be the third derivative of d(f). Let g(a) = 0. What is a?
-13, 0
Let l(z) = 13*z**4 - 676*z**3 + 2005*z**2 - 1330*z - 4. Let d(a) = 115*a**4 - 6085*a**3 + 18045*a**2 - 11970*a - 35. Let j(b) = -4*d(b) + 35*l(b). Factor j(p).
-5*p*(p - 133)*(p - 2)*(p - 1)
Let l(f) be the second derivative of -16*f**7/21 - 152*f**6/5 + 526*f**5 + 4277*f**4/3 + 1462*f**3 + 740*f**2 + 504*f. Determine s, given that l(s) = 0.
-37, -1/2, 10
Let i(m) be the second derivative of -m**5/70 + 117*m**4/7 - 557*m. Factor i(x).
-2*x**2*(x - 702)/7
Let r(z) = 2*z - 26. Let c be r(15). Find h, given that 136*h**3 - 76*h**2 + 12*h**5 - 36*h**2 + 32*h + 234 - 234 - 68*h**c = 0.
0, 2/3, 1, 2
Let i(a) be the second derivative of a**6/90 - 13*a**5/30 + 11*a**4/3 - 6*a**3 - 53*a. Let l(r) be the second derivative of i(r). Factor l(k).
4*(k - 11)*(k - 2)
Let x(q) be the third derivative of q**5/630 + q**4/28 + 20*q**3/63 - 121*q**2. Find f such that x(f) = 0.
-5, -4
Let c(k) = -3*k**2 + 50*k + 4. Let m(d) = 25*d**2 - 445*d - 35. Let j(r) = -35*c(r) - 4*m(r). Suppose j(b) = 0. What is b?
-6, 0
Find y such that 0 + 57/2*y**2 + 3*y**3 - 30*y - 3/2*y**4 = 0.
-4, 0, 1, 5
Suppose -470*x + 448*x - 1 + 45 = 0. Determine o, given that 0 + 1/9*o**4 - 5/9*o**x + 2/3*o - 2/9*o**3 = 0.
-2, 0, 1, 3
Let z = -6947/23 - -28271/92. Solve -6 - 15*x - z*x**4 + 45/2*x**2 + 15/4*x**3 = 0.
-2, -2/7, 1, 2
Let o be (2/9)/((-10)/(-15)). Let v(d) = 4*d**3 - 16*d**2 + 21*d - 82. Let y be v(4). Solve 2/3 - 1/3*g**y - o*g = 0 for g.
-2, 1
Suppose -6*i = 3*o - 3*i - 6, -5*o + 5*i = -20. Suppose o*v - v - 4 = 0. Suppose -5*f**4 - 25*f**2 - 222*f + 212*f - 20*f**3 + 0*f**3 + 0*f**v = 0. What is f?
-2, -1, 0
Suppose 0 = 2*j + 4*o - 10 - 2, -4*j - 5*o = -21. Solve 5488*s + 588*s**2 + 19208 + 28*s**3 + 1/2*s**j = 0 for s.
-14
Suppose q - 4*f = 660, -q + 3*f = -536 - 126. Factor 667*c**2 - 2 + 16 - q*c**2 + 13*c.
-(c - 14)*(c + 1)
Let f be 1414716/2170 - (-6)/105. Let h = f - 648. Factor 0 + 0*l + 3/2*l**h - 3/4*l**3 + 0*l**2 - 3/4*l**5.
-3*l**3*(l - 1)**2/4
Let s be (-22)/(-77) - (-26)/(-91). Let d(j) be the first derivative of 0*j**4 + 6 + 3*j**3 + s*j + 3*j**2 - 3/5*j**5. Factor d(i).
-3*i*(i - 2)*(i + 1)**2
Suppose 25 = 5*b, 5*b - 51 = -3*q - 11. Suppose -2*v - q*w = -15, 8 = -3*v + 5*w + 18. Find u, given that v*u**3 - 8*u**2 - 3*u - u**2 - 2*u**3 + 9 + 0 = 0.
-1, 1, 3
Let r(y) be the first derivative of -258 - 360*y + 215/2*y**4 - 16*y**5 + 1005/2*y**2 + 5/6*y*